What is a prediction? A. a conclusion B. another hypothesis C. observed data that does not support the hypothesis D. another proposed data point on the trend line but not observed data

Answer:

Step-by-step explanation:

Given that in  a study of a weight loss​ program, 4 subjects lost an average of 48 lbs.

It is found that there is about a 32​% chance of getting such results with a diet that has no effect.

The results do not appear to have statistical significance.  The reasons are

1) Sample size of 4 is very small not even meeting the bare minimum

2) Sample of 4 cannot be taken to represent the population

3) Whether bias was there in the selection of sample is not known.

4) Std deviation is not considered which is very important while concluding results.

Answer:

75%

Step-by-step explanation:

100%-25%= 75%

He would have paid 75% of the original price..

Answer:

C. [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Let x be the original price of laptop computer.

We have been given that Luis purchased a laptop computer that was marked down by 2/5 of the original price.

The price of laptop computer after mark-down would be x minus 2/5 of x.

[tex]\text{The price of laptop computer after mark-down}=x-\frac{2}{5}x[/tex]

[tex]\text{The price of laptop computer after mark-down}=\frac{5}{5}x-\frac{2}{5}x[/tex]

[tex]\text{The price of laptop computer after mark-down}=\frac{5-2}{5}x[/tex]

[tex]\text{The price of laptop computer after mark-down}=\frac{3}{5}x[/tex]

Therefore, Luis paid [tex]\frac{3}{5}[/tex] of the original price.

Answer:

The answer to your question is:  BC = √65 or 8.05 u

Step-by-step explanation:

Data

AD = 12 u

BD = 15 u

AC = 4 u

BC = ?

First calculate the length of AB using the pythagorean theorem

 BD² = AB² + AD²

 AB² = BD² - AD²

 AB² = 15² - 12²

 AB² = 225 - 144

 AB² = 81

 AB = 9 u

Now, use the pythagorean theorem to find BC

 AB² = BC² + AC²

 BC² = AB² - AC²

 BC² = 9² - 4²

 BC²  = 81 - 16

 BC² = 65

 BC = √65 or 8.05 u

Answer:

Step-by-step explanation:

From the problem statement, each box of candles has the following range of candles:

[tex]78 \leq x \leq 82[/tex]

We also know that we have 50 boxes of candles, so we multiply the above range by 50 to get the range of candles:

[tex]3900 \leq x \leq 4100[/tex]

Finally, each candle costs $2, so we have the final range of cost:

[tex]7800 \leq x \leq 8200[/tex]

By calculating the cost of producing the minimum and maximum number of candles that can be packaged in 50 boxes, we determine the range of possible production costs, x, is $7,800 to $8,200.

The student needs to calculate the range of possible production costs for 50 boxes of candles, given that each box contains an average of 80 candles and the number of candles can vary by at most two from this average. Since each candle costs two dollars to produce, we can find the minimum and maximum number of candles in one box by subtracting and adding two to the average, respectively (78 and 82 candles). Multiplying these numbers by the cost per candle gives us the cost per box, and then multiplying by the number of boxes (50) gives us the total production cost range for all boxes.

To calculate the minimum cost, we use the minimum number of candles per box: 78 candles per box × $2 per candle × 50 boxes = $7,800. To calculate the maximum cost, we use the maximum number of candles per box: 82 candles per box × $2 per candle × 50 boxes = $8,200. Therefore, the range for the possible production costs, x, for 50 boxes of candles is $7,800 ≤ x ≤ $8,200, which corresponds to answer choice D.

Answer:

Time to decay will be 377.7 days.

Step-by-step explanation:

Decay of an radioactive element is represented by the formula

[tex]A_{t}=A_{0}e^{-kt}[/tex]

where [tex]A_{t}[/tex] = Amount after t days

[tex]A_{0}[/tex] = Initial amount

t = duration for the decay

k = decay constant

Now we plug in the values in the formula

[tex](1-0.12)x=xe^{-30k}[/tex]

[tex](0.88)x=xe^{-30k}[/tex]

[tex]0.88=e^{-30k}[/tex]

Now we take natural log on both the sides

ln(0.88) = [tex]ln(e)^{-30k}[/tex]

ln(0.88) = -30k(lne)

-30k = -0.1278

k = [tex]\frac{.1278}{30}[/tex]

k = [tex]4.261\times 10^{-3}[/tex]

Now we have to calculate the duration for the decay of 50 mg sample to 10 mg.

[tex]A_{t}=A_{0}e^{-kt}[/tex]

We plug in the values in the formula

10 = 50[tex]e^{-4.261\times 10^{-3}\times t}[/tex]

[tex]e^{-4.261\times 10^{-3}\times t}=\frac{10}{50}[/tex]

[tex]e^{-4.261\times 10^{-3}\times t}=0.2[/tex]

We take (ln) on both the sides

[tex]ln(e^{-4.261\times 10^{-3}\times t})=ln(0.2)[/tex]

[tex]-4.261\times 10^{-3}\times t=-1.6094[/tex]

t = [tex]\frac{1.6094}{4.261\times 10^{-3} }[/tex]

t = 0.37771×10³

t = 377.7 days

Therefore, time for decay will be 377.7 days.

Answer:

The answer to your question is:

a) C = 2g + 155c

b) g = 25 grapes

c) c = 3

Step-by-step explanation:

Data

grapes = g = 2 calories

cheese = c = 155 calories

a) Equation, we consider the amount of grapes and the calores given.

Total calories = C = 2g + 155c

b) We consider that the slices of cheese stays the same

                       2g + 155 = 205

                       2g = 205 -155

                        2g = 50

                        g = 50/2 = 25 grapes

c) Then the number of grapes stays the same

                       2(25) + 155c = 515

                       50 + 155c = 515

                       155c = 515 - 50

                        155c = 465

                        c = 465/155

                        c = 3 slices of cheese

Answer:

the answer is C

Step-by-step explanation:

Answer:

The correct option is C) [tex]6p^3-23p^2+9p+28[/tex]

Step-by-step explanation:

Consider the provided expression.

[tex]3p - 7[/tex] and [tex]2p^2 - 3p - 4[/tex]

According to the provided information the table will be like this.

         [tex]2p^2[/tex]     -3p        -4

3p     [tex]6p^3[/tex]     -9p²      -12p

-7  [tex]-14p^2[/tex]       21 p       28

The above table shows the terms after multiplication.

To find the product you just need to add the terms as shown.

[tex]6p^3-9p^2-12p-14p^2+21p+28[/tex]

[tex]6p^3-9p^2-14p^2-12p+21p+28[/tex]

[tex]6p^3-23p^2+9p+28[/tex]

Hence, the product is [tex]6p^3-23p^2+9p+28[/tex].

You can verify this by product as shown.

[tex]3p-7(2p^2-3p -4)[/tex]

[tex]6p^3-9p^2-12p-14p^2+21p+28[/tex]

[tex]6p^3-23p^2+9p+28[/tex]

Hence, the correct option is C) [tex]6p^3-23p^2+9p+28[/tex]

Answer:

An equation that expresses a relationship between two or more​ variables, such as Upper H equals nine tenths left parenthesis 220 minus a right parenthesis ​, is called​ Formula.

A formula is an equation that expresses a relationship between two or more variables.

The process of finding formulas to describe real-world phenomena is called mathematical modeling.

Such​ equations, together with the meaning assigned to the​ variables, are called mathematical​ models.

A mathematical equation expresses a relationship between variables, and the process of finding such equations is called mathematical modeling.

An equation that expresses a relationship between two or more variables is called a mathematical equation. The process of finding such equations to describe real-world phenomena is called mathematical modeling. These equations, together with the meaning assigned to the variables, are called mathematical models.

For example, if we have an equation like Upper H equals nine tenths left parenthesis 220 minus a right parenthesis, this equation represents a relationship between a variable H and the expression nine tenths left parenthesis 220 minus a right parenthesis. We can use this equation to calculate the value of H given a specific value for the expression.

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15=3n+6p

We need to isolate n.

15 - 6p = 3n

(15 - 6p)/3 = n

5 - 2p = n

To solve for n in the equation 15 = 3n + 6p, isolate n by subtracting 6p from both sides, and then divide both sides by 3.

To solve for n in the equation 15 = 3n + 6p, we can start by isolating the variable n. First, subtract 6p from both sides of the equation to get 15 - 6p = 3n. Then, divide both sides by 3 to solve for n, yielding: n = (15 - 6p) / 3.

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Answer:

  2.592×10^5 seconds

Step-by-step explanation:

[tex]3\,days\cdot\dfrac{24\,h}{1\,day}\cdot\dfrac{3.6\cdot 10^3\,s}{1\,h}=3\cdot 24\cdot 3.6\cdot 10^3\,s=2.592\cdot 10^5\,s[/tex]

Answer:

Corrected answer is 8.64 x 10^4 seconds in one day

Step-by-step explanation:

Answer:

d) Operating expenses - Cost of goods sold = Gross profit

Step-by-step explanation:

first of all when you say gross in accounting it means the totality so gross profit would never be a subtraction.

And finally operating expenses usually go with a negative sign {-} because it means costs or something goes opposite to the revenue of the firm.

Answer:

d) Operating expenses - Cost of goods sold = Gross profit

Step-by-step explanation:

The formula of Net income is

Sales revenue

- cost of goods sold

= Gross profit

-  Operating expenses

= Net income

So,  we are going to analyze each option

a) Sales revenue - cost of goods sold - Operating expenses = Net income  CORRECT

b) Gross profit - Operating expenses = Net income  CORRECT

c) Net income + Operating expenses = Gross profit  CORRECT

d) Operating expenses - Cost of goods sold = Gross profit INCORRECT

(D). 8 Wine, 16 Cloth

Cloth production by Argentina = 20 units

Wine production by Argentina = 2 units

Cloth production by Chile = 24 units

Wine production by Chile = 12 units

Now,

2 units of labor was transferred by Argentina from Wine to Cloth and 1 unit of labor was transferred by Chile from Cloth to Wine.

Therefore,

Increase in Cloth production = Argentina's total cloth produced - Cloth produced by Chile (before transfer)

Now,

We can say that total cloth produced by Argentina is = 2 x 20 = 40 units

So,

Increase in Cloth production = 40 - 24 = 16 units

Therefore, the increase in Cloth Production is 16 units.

Similarly,

Increase in Wine production = Chile's total Wine produced - Wine produced by Argentina (before transfer)

Now,

We can say that total Wine produced by Chile is = 1 x 12 = 12 units

Wine produced by Argentina before transfer = 2 x 2 = 4 units

So,

Increase in Wine production = 12 - 4 = 8 units

Therefore, the increase in Wine Production is 8 units.

Hence, the correct option is (D).

Answer:

29 homework problems

Addition Property was used

Step-by-step explanation:

15+5=20+9=29

Addition

By using the associative property of addition, we calculate that Brooke has 29 problems for homework. This total is found by adding 15 math problems, 5 social studies problems, and 9 science problems together.

To calculate how many problems Brooke has for homework, we need to add together the numbers of math, social studies, and science problems. This operation is typically done using the property of addition. The property of addition we've applied here is known as the Associative Property of Addition. This property states that the way numbers are grouped does not change their sum.

So, if Brooke has 15 math problems, 5 social studies problems, and 9 science problems, we calculate the total as follows: 15 (math) + 5 (social studies) + 9 (science) equals 29 problems. So, Brooke has 29 problems to do for her homework.

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Answer:

50 minutes

Step-by-step explanation:

Given,

Water can be drained out of the tub at a rate of 2 gallons per minute,

So, the drained water in 1 minute = 2 gallon,

That is, change in 1 minute = -2 gallon

( negative sign shows losing water)

Also, it is filled by a faucet at a rate of 1 gallon per minute,

So, the filled water in 1 minute = 1 gallon,

That is, change in 1 minute = + 1 gallon

( Positive sign shows additional water ),

Thus, total change in 1 minute = -2 + 1 = -1 gallon,

Let x be the time after which the bathtub will be emptied completely,

Total change in x minutes = -x gallon,

Bathtub will be emptied, if,

Initial volume of water + total change in water = 0

50 - x = 0  ( given volume of tub is 50 gallon )

[tex]\implies x = 50[/tex]

Hence, it will take 50 minutes to drain the full tub.

Final answer:

To drain a bathtub initially filled with 50 gallons, with an incoming rate of 1 gallon per minute and a draining rate of 2 gallons per minute, it takes 50 minutes.

Explanation:

The question involves calculating the time it takes to drain a bathtub that is being filled and drained simultaneously. Initially, the bathtub is completely filled with 50 gallons of water. The faucet fills the tub at a rate of 1 gallon per minute, while the drain can remove water at a rate of 2 gallons per minute. Therefore, the net rate at which water is being drained is 1 gallon per minute (2 gallons out - 1 gallon in). To completely drain the tub of its initial 50 gallons, at a net rate of 1 gallon per minute, it would take 50 minutes.

Therefore, as per the above explaination,  the correct answer is 50 min.

Answer: no its too big it wont fit

Step-by-step explanation:

its just too big

Answer:

  $64,720

Step-by-step explanation:

The straightforward way to figure this is ...

  total pay = straight commission + annual bonus

  = 1.5% × 2,555,500 + 2.5% ×(2,555,500 -1,500,000)

However, this expression can be simplified a little bit to ...

  2,555,500 × (1.5% +2.5%)  -2.5% × 1,500,000

  = 4% × 2,555,000 -2.5% × 1,500,000

  = 102,220 -37,500

  total pay = $64,720

Answer:

The difference in per-mile costs for the two companies is $0.12

Step-by-step explanation:

Gabi sets up the equation [tex]0.22m+7.20=0.1m+8.40[/tex] to find out after how many miles, m, the companies will charge the same amount.

The first company charges [tex]c_1=0.22m+7.20[/tex] for m miles driven.

The second company charges [tex]c_2=0.1m+8.40[/tex] for m miles driven.

In both these functions, numbers 7.20 and 8,40 represent the initial fee the companies charge.

Numbers 0.22 and 0.1 represent per-mile costs.

Thus, the difference in per-mile costs is [tex]0.22-0.1=0.12[/tex]

Another way to solve this problem is to find the cost per mile driven for each company:

1. Cost per-mile 1st company

[tex]c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22[/tex]

2. Cost per-mile 2nd company

[tex]c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1[/tex]

3. Difference:

[tex]0.22-0.1=0.12[/tex]

Answer:

The answer is C

Step-by-step explanation:

The measurement of angle POS is 20 and POQ is 40

OS is an angle bisector of ∠POQ.  This means it splits ∠POQ into two congruent pieces.  

This tells us that ∠POS+∠SOQ = ∠POS+∠POS = ∠POQ.

If m∠POS = 20, this means that m∠POQ = 20+20 = 40°.

Answer:

The correct option is C) m∠POS = 20°, m∠POQ = 40°,

Step-by-step explanation:

Consider the provided figure.

Meg constructed triangle POQ and then used a compass and straightedge to accurately construct line segment OS.

From the given figure it is clear that OS is angle bisector of POQ,

[tex]\angle POQ=\angle POS+\angle QOS[/tex]

[tex]\angle POS=\angle QOS[/tex]    ∴ angle bisector

[tex]\angle POQ=\angle POS+\angle POS=2\angle POS[/tex]

Thus, the measure of ∠POQ is double the measure of ∠POS.

There is only one option in which m∠POQ is double the m∠POS.

Therefore, the correct option is C) m∠POS = 20°, m∠POQ = 40°,

Answer:

Probabilities are usually given in percentages.

Odds can have a value of 0-infinity & are in the form of a ratio. Odds can be given in 2 different ways: Odds in favor & Odds against.

*Probability of drawing a green

marble is 50%

*Odds if drawing a green marble

are 5:5

The probability of drawing a green marble is 1/2 and the odds are 1:1. The difference between probability and odds is explained.

The probability of drawing a green marble from the bag can be calculated by dividing the number of green marbles by the total number of marbles in the bag. In this case, there are 5 green marbles and a total of 10 marbles, so the probability is 5/10 or 1/2.

Odds, on the other hand, represent the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, since there are 5 green marbles and a total of 5 marbles that are not green (3 blue marbles and 2 red marbles), the odds of drawing a green marble are 5:5 or 1:1.

The difference between probability and odds is that probability is a measure of the likelihood of an event occurring, while odds represent the ratio of favorable to unfavorable outcomes.

Learn more about probability here:

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The probable question may be:

Consider this bag of marbles, where we have 5 green marbles, 3 blue marbles and 2 red marbles. What is the probability of drawing a green marble versus the ODDs of drawing a green marble? What is the difference in these two things?

Answer:

10.5

Step-by-step explanation:

got it on the test

The length of line segment AC in triangle ABC is 12.3 meters, derived using the sine function and the given angle and side.

To find the length of Line segment AC in the given right angle triangle ABC, we can use the trigonometry functions. Since we are given the length of side CB and the measure of angle BAC, we can apply the sine function. The sin of an angle in a right angle triangle is the length of the opposite side (which in this case is the length of AC we're trying to find) divided by the length of the hypotenuse (which in this case is length CB = 15 m).

So, sin(55 degrees) = Length of AC / 15 m. Solving this equation for Length of AC produces: Length of AC = 15 m * sin(55 Degrees). Plugging in the value of sin(55 degrees) approximately as 0.819 gives a Length of AC approximately equal to 12.3 m. "So the length of the line segment AC is 12.3 m".

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Answer:

a) ∃xP (x)

P(-5) v P(-3) v P(-1) v P(1) v P(3) v P(5)

(at least one of them is true)

b) ∀xP (x)

P(-5) ^ P(-3) ^ P(-1) ^ P(1) ^ P(3) ^ P(5)

(all of them are true)

c) ∀x((x ≠ 1) → P (x))

P(-5) ^ P(-3) ^ P(-1) ^ P(3) ^ P(5)

d) ∃x((x ≥ 0) ∧ P (x))

P(1) v P(3) v P(5)

e) ∃x(¬P (x)) ∧ ∀x((x < 0) → P (x))

[¬P(-5) v ¬P(-3) v ¬P(-1) v ¬P(1) v ¬P(3) v ¬P(5)] ^ [P(-5) ^ P(-3) ^ P(-1)]

[¬P(1) v ¬P(3) v ¬P(5)] ^ [P(-5) ^ P(-3) ^ P(-1)]

Here are the given statements expressed without quantifiers: a) P(-5) OR P(-3) OR P(-1) OR P(1) OR P(3) OR P(5), b) P(-5) AND P(-3) AND P(-1) AND P(1) AND P(3) AND P(5), c) P(-5) AND P(-3) AND P(-1) AND P(3) AND P(5), d) (1 ≥ 0 AND P(1)) OR (3 ≥ 0 AND P(3)) OR (5 ≥ 0 AND P(5)), and e) ((¬P(-5) OR ¬P(-3) OR ¬P(-1) OR ¬P(1) OR ¬P(3) OR ¬P(5)) AND (P(-5) AND P(-3) AND P(-1))).

To express your statements without quantifiers, we would consider using disjunctions (OR), conjunctions (AND) and negations (NOT). Here are your statements expressed accordingly:

a) ∃xP (x) becomes P(-5) OR P(-3) OR P(-1) OR P(1) OR P(3) OR P(5).

b) ∀xP (x) becomes P(-5) AND P(-3) AND P(-1) AND P(1) AND P(3) AND P(5).

c) ∀x((x ≠ 1) → P (x)) becomes P(-5) AND P(-3) AND P(-1) AND P(3) AND P(5).

d) ∃x((x ≥ 0) ∧ P (x)) becomes (1 ≥ 0 AND P(1)) OR (3 ≥ 0 AND P(3)) OR (5 ≥ 0 AND P(5)).

e) ∃x(¬P (x)) ∧ ∀x((x < 0) → P (x)) becomes ((¬P(-5) OR ¬P(-3) OR ¬P(-1) OR ¬P(1) OR ¬P(3) OR ¬P(5)) AND (P(-5) AND P(-3) AND P(-1))).

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Answer: The value of cross price elasticity is 1.6.

Step-by-step explanation:

Since we have given that

Percent change in price = 10%

Percent change in quantity = 16%

So, we need to find the cross price elasticity between the two movie club memberships.

As we know the formula for cross price elasticity :

[tex]\dfrac{\%\text{change in demand}}{\%\text{change in price}}\\\\=\dfrac{16}{10}\\\\=1.6[/tex]

Hence, the value of cross price elasticity is 1.6.

Answer:

57120

Step-by-step explanation:

Total number of people in a committee = 17

We need to select a president, a vice-president, a secretary, and a treasurer from the committee .

We need to find the number of ways in which these four positions can be filled .

Also, assume that a committee member can hold at most one of these offices.

For post of president , we can choose from 17 people

For post of vice - president , we are left with 16 choices only as one person has already been selected for post of president .

For post of a secretary  , we are left with 15 choices only as two persons have already been selected for post of president and vice - president .

For post of a treasurer  , we are left with 14 choices only as three persons have already been selected for post of president , vice - president and treasurer .

So, number of ways in which these four positions can be filled  = [tex]17\times 16\times 15\times 14 = 57120[/tex]

To determine the number of ways to fill four distinct positions from 17 people where each person can only hold one position, we calculate the permutations, resulting in 17 x 16 x 15 x 14 = 40,320 different ways.

The question pertains to a combinatorial mathematics problem, specifically involving permutations. Given a committee consisting of 17 people, we need to determine in how many different ways four distinct positions (president, vice-president, secretary, and treasurer) can be filled. To solve this, we assume that no person can hold more than one office.

To choose the president, there are 17 possible candidates. Once the president is chosen, there are 16 remaining candidates for the vice-president. Similarly, there are 15 candidates for the secretary position after the president and vice-president have been chosen, and finally, 14 candidates for the treasurer. The number of permutations is the product of these choices, which is calculated as 17 x 16 x 15 x 14.

The calculation yields 40,320 different ways to fill the four positions. This calculation is an example of using factorial notation in permutations where the general formula is n!/(n-r)!, with n representing the total number to choose from, and r is the number to be chosen.

Answer: Ok, the chanche of both children were born on a monday is [tex]\frac{1}{7}[/tex]

Step-by-step explanation: Well, we alredy know that one of her children was born on a monday, when they ask the probability of both children were born on a monday, we only need to see the case of the second kid.

So, the week has 7 days, ence the probability for each day (in this case a monday) is 1/7.

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

Answer:

See below

Step-by-step explanation:

a + 133 = 180 because they are supplementary angles. (adjacent angles that form a straight angle)

a = 47 (you substract 133 at each side of the previous equation, leaving that a = 47)

m || n Since "a" measure the same as the angle in the figure that measures 47 both are corresponding angles, therefore m and n are parallels

Answer:

Step-by-step explanation:

It is called adjacent angles to all pairs of angles (2 angles) that are consecutive (that is, have the vertex and one side in common) and supplementary ( the sum of both angles results in 180 °; that is, a straight angle). Graphically, two opposite semi-lines are observed. You can see two adjacent angles in the image.

A case of consecutive angles is shown between a"" and 133 °, because they form a straight angle and are separated by a common side.  Then "a" and 133 ° add up to 180 °. In this way you can know what is the value of "a".

a+133°=180°

a=180°-133°

a=47°

The relative position of the angles with respect to the straight lines makes those angles receive specific names. Thus, it is called corresponding angles to those that are located on the same side of the parallels and on the same side of the transversal. These angles are equal.

Note that the other angle given as data is 47 °. This angle has the same value as "a" and as both angles are on the same side of the transverse, so that they are corresponding m must be parallel to n.

Answer:

b) 10 to 20

Step-by-step explanation:

You have to multiply each of the given numbers by 4, and add 8 to that result.

So:

And 60 is between the result of 10 and 20, so that's the interval you have to select.

The correct answer is b) 10 to 20

Answer:

The first customer that will get four free tickets is 50th customer

Step-by-step explanation:

Find the least common multiple of numbers 10 and 25. First, factorize these numbers:

[tex]10=2\cdot \underline{5}\\ \\25=\underline{5}\cdot 5\\ \\LCM(10,25)=\underline{5}\cdot 2\cdot 5=50[/tex]

When finding LCM, first write the all common multiples (underlined 5) and then multiply them by remaining multiples (2 and 5). You get 50 as LCM(10,25). This means that each 50th customer will get four free tickets.

Final answer:

The first customer who will receive four free tickets is the 100th customer.

Explanation:

To determine the first customer who will receive four free tickets, we need to find the smallest positive integer that is divisible by both 10 and 25. This is called the least common multiple (LCM). To find the LCM of 10 and 25, we can list the multiples of each number until we find a common multiple:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Multiples of 25: 25, 50, 75, 100

The LCM of 10 and 25 is 100. Therefore, the first customer who will receive four free tickets is the 100th customer.

Answer:

Option d) Chebyshev's rule

Step-by-step explanation:

The Chebyshev's rule state that for a data that is not distributed normally,

atleast [tex](1 - \frac{1}{k^2})\% \text{ of data lies within the interval}~(Mean \pm (k)Standard ~Deviation)[/tex].

Here, k cannot be 1 and is always greater than 2.

For k = 2,

[tex](1 - \frac{1}{4})\times 100\% = 75\%[/tex] of data lies within the range of [tex](\mu \pm 2\sigma)[/tex]

Atleast 75% of children finished their vegetables in [tex](\mu \pm 2\sigma) = (4.2 \pm (2)1.0) = (2.2,6.2)[/tex]

For k = 3,

[tex](1 - \frac{1}{9})\times 100\% = 88.912\%[/tex] of data lies within the range of [tex](\mu \pm 3\sigma)[/tex]

Atleast 89% of children finished their vegetables in [tex](\mu \pm 3\sigma) = (4.2 \pm (3)1.0) = (1.2,7.2)[/tex]

Thus, option d) is correct.

Answer and Step-by-step explanation:

As quantifiers, we can settle:

x is a student

M(x) is a math major student

C(x) is a computer science major student

F(x) is a freshman student

S(x) is a sophomore student

J(x) is a junior student

N(x) is a senior student

∃ exists

∀ every

¬ negation

∧ and

∨ or

a) There is a student in the class who is a junior.

∃xJ(x) value: True. There are 4 juniors

b) Every student in the class is a computer science major.

∀xC(x) value: False. There are math students

c) There is a student in the class who is neither a mathematics major nor a junior.

∃x¬M(x)∨¬C(x) value: False. All students are math ou computer science majors

d) Every student in the class is either a sophomore or a computer science major.

∀xS(x)∨C(x) value: False. There are some students who are neither, for example mathematics majors who are juniors

e) There is a major such that there is a student*

∃M(x)C(x)x value: True. All majors have students.

*This one seems incomplete, but I answered the way it is writen.

The expression of the statement based on the quantifiers show that the truth value will be:

It should be noted that quantifies are the words or expressions that indicate the number of elements which a statement pertains to.

From the information, there is a student in the class who is a junior. It can also be deduced that not every student in the class is a computer science major. This is because there are mathematics majors too.

Furthermore, there is a student in the class who is neither a mathematics major not a junior but not every student in the class is either a sophomore or a computer science major.

Learn more about quantifiers on:

https://brainly.com/question/26421978