DEFINE PARALLELLOGRAM

Answer:

Step-by-step explanation:

Given that,

A rectangular prism with a volume of 8 cubic units, V = 8 cubic units

The rectangular prism is filled with a cube twice.

First one

A cube with ½ length unit, we should know that a cube have equal length

Then, L = ½ units

Volume of a cube is L³

V = L³

V1 = (½)³ = ⅛ cubic units

Second cube

A cube with ⅓ length unit, we should know that a cube have equal length

Then, L = ⅓ units

Volume of a cube is L³

V = L³

V1 = (⅓)³ = 1 / 27 cubic units

So, to know number of times cube one will filled the rectangular prism

V = nV1

Where V is the volume of rectangular prism

n is the number of times the cube will be able to matched up with the volume of the rectangular prism

Then, n_1 = V / V1

n_1 = 8 / ⅛

n_1 = 64 times

Also,

n_2 = V / V2

n_2 = 8 / 1 / 27

n_2 = 8 × 27 = 216 times

So, the we need more of ⅓units and we will need (216 - 64) = 152 times

We need 152 more of ⅓units

You need 152 more cubes with side lengths of 1/3 unit than cubes with side lengths of 1/2 unit to fill a rectangular prism with a volume of 8 cubic units.

To determine how many more cubes with side lengths of 1/3 unit are needed to fill the rectangular prism compared to cubes with side lengths of 1/2 unit, we first need to find the number of each type of cube that fits into the prism.

The volume of the rectangular prism is given as 8 cubic units.

First, let's calculate the volume of one small cube:

Next, determine how many of each type of cube are needed to fill the prism:

The difference in the number of cubes needed is:

216 (1/3-unit cubes) - 64 (1/2-unit cubes) = 152 more 1/3-unit cubes.

Answer:

A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

Step-by-step explanation:

A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

A quadratic function is a polynomial function with one or more in which highest exponent of variable is two.

According to the question,

A quadratic function can have two irrational roots.

example: [tex]x^{2} -2x -2 =0[/tex]

This equation have two irrational roots  1+√3 and 1 - √3.

A  quadratic function can have no real number solutions

Hence, A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

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Answer:

C 66 miles

Step-by-step explanation:

88miles/4 gallons = 22 miles/gallon

22 miles/ gallon * 3 gallons = 66 miles

Answer:

66 miles per 3 gallons

Step-by-step explanation:

if you divide 88 by 4 you get 22 which means you get 22 miles to each gallon so for three gallons you would be able to drive 66 miles

Hope I helped:)

Answer:

248cm

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

Probability is a ratio defined by the number of possible outcome to the number of total outcome. The probability that an event will happen added to the probability that the event will not happen gives 1. In other words, the outcome of a probability cannot exceed 1.

The probability that an event a will happen or that another independent event  b will happen is the sum of the probability that a will happen to the probability that b will happen.

For the 2 dies, the outcomes possible when rolled are as shown below  

O   1     2     3    4    5     6

1    2    3     4     5    6    7

2   3    4     5    6    7     8

3   4    5    6    7      8    9

4   5    6    7     8    9    10

5   6     7   8    9    10    11

6   7    8    9    10    11    12    

From the table, there are 36 possible outcomes but only 21 outcomes are less than 8 hence the probability required

= 21/36

= 7/12      

Answer:

A) f(x) = –16x2 + 99x + 6

Step-by-step explanation:

ed2021 :)

Answer:

We have,

max 4x+10y

3x+4y<480

4x+2y<360

The feasible corner points are ( 48,84),(0,120),(0,0),(90,0)

Now, our problem is maximum type so put above feasible points in equation max 4x + 10y one by one and select one point at which our value from this equation is maximum,

(48,84) 4*48+10*84 1032

(0,120) 4*0+10*120 1200

(0,0) 4*0+10*0 0

(90,0) 4*90+10*0 360

Here we get maximum value at (0,120) which is 1200.

Correct option is (B)1200

Answer:

Answer is 1200.

Refer below.

Step-by-step explanation:

The maximum possible value for the objective function is 1200.

Answer:

37

Step-by-step explanation:

all triangle's angle measures add up to 180

180-98-45 = x

x = 37

Answer:

Step-by-step explanation:

All triangles = 180 degrees

^ That is known.

98 + 45 = 143

     ^ These 2 angles are given (98 and 45)

180 - 143 = 37

          ^ This was the total.

37 is the final answer.

I hope I helped you!

Answer:

Probability that the person preferred milk as his or her primary drink  = 0.3

Step-by-step explanation:

Given -

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is =  18 + 29 + 13 = 60

If a person is selected at random ,

The probability of person preferred milk = [tex]\frac{18}{60}[/tex]

The probability of person preferred coffee = [tex]\frac{29}{60}[/tex]

The probability of person preferred juice = [tex]\frac{13}{60}[/tex]

Probability that the person preferred milk as his or her primary drink =

P ( milk ) = [tex]\mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}[/tex]

    =   [tex]\frac{18}{60}[/tex]  =  0.3

The correct value of the angle of rotation is 3π/5

Answer:

Distance travelled ≈ 22.6 ft

Step-by-step explanation:

We are given;

Radius;r = 12 ft

Angle of rotation; θ = 3π/5

The formula for calculating distance travelled is;

Distance travelled = rθ

So, plugging in the relevant values;

Distance travelled = 12 x 3π/5

Distance travelled ≈ 22.6 ft

Angle Zc measures 90° as it is supplementary to the given 90° angle. Therefore, Zc = 90°.

To find the measure of angle Zc, we need to use the properties of angles formed by intersecting lines.

Given:

- Angle Zc is supplementary to angle 90°.

- Angle 90° is formed by the intersection of lines, let's denote them as line AB and line CD.

- Angle 90° is bisected by line EF, forming two congruent angles.

Step-by-step explanation:

1. Since angle Zc is supplementary to angle 90°, we subtract the measure of angle 90° from 180° to find the measure of angle Zc.

  Measure of angle Zc = 180° - 90°

                                     = 90°

So, angle Zc measures 90°.

Answer:

C

Step-by-step explanation:

A cube has 6 square faces

Each face: 5² = 25

Surface area: 6(25) = 150 in²

Answer:

0.8937

Step-by-step explanation:

This is a case of binomial probability with n = 64, p = 0.10 and x = 3.  This means that the probability of a cancellation is 10%.  Here, we can find the probability that more than 3 cancellations or no shows will occur by finding binompdf(64,0.10, 0) + binompdf(64,0.10, 1) + binompdf(64,0.10, 2) + binompdf(64,0.10, 3) and then subtracting this sum from 1.000.  

We get:    0.0012 + 0.0084 + 0.0293 + 0.0674 = sum = 0.1063

Then the desired probability is 1.0000 - 0.1063 = 0.8937

The probability that more than 3 cancellations and/or no-shows will occur during the next week is: 0.8937

This involves binomial probability distribution with the formula;

P(X = x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

We are given;

p = 10% = 0.1

n = 64

q = 1 - p = 1 - 0.1

q = 0.9

We want to find the probability that more than 3 cancellations and/or no-shows will occur during the next week is given by;

P(X > 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X =3))

From online binomial probability calculator;

P(0) = 0.0012

P(1) = 0.0084

P(2) = 0.0293

P(3) = 0.0674

Thus;

P(X > 3) = 1 - (0.0012 + 0.0084 + 0.0293 + 0.0674 )

P(X > 3) = 1 - 0.1063

P(X > 3) = 0.8937

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Answer:

P(X>17) = 0.979

Step-by-step explanation:

Probability that a camera is defective, p = 3% = 3/100 = 0.03

20 cameras were randomly selected.i.e sample size, n = 20

Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97

Probability that more than 17 cameras are working P ( X > 17)

This is a binomial distribution P(X = r) [tex]nCr q^{r} p^{n-r}[/tex]

[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]

P(X>17) = P(X=18) + P(X=19) + P(X=20)

P(X=18) = [tex]20C18 * 0.97^{18} * 0.03^{20-18}[/tex]

P(X=18) = [tex]20C18 * 0.97^{18} * 0.03^{2}[/tex]

P(X=18) = 0.0988

P(X=19) = [tex]20C19 * 0.97^{19} * 0.03^{20-19}[/tex]

P(X=19) = [tex]20C19 * 0.97^{19} * 0.03^{1}[/tex]

P(X=19) = 0.3364

P(X=20) = [tex]20C20 * 0.97^{20} * 0.03^{20-20}[/tex]

P(X=20) = [tex]20C20 * 0.97^{20} * 0.03^{0}[/tex]

P(X=20) = 0.5438

P(X>17) = 0.0988 + 0.3364 + 0.5438

P(X>17) = 0.979

The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch

Answer:

the answer is 3/2

Step-by-step explanation:

because when you divide it you have to do keep change flip so you change 4/9 to 9/4 and divide it by 2/3 to get 3/2 so you put it in the equation to see if it is correct

The equation is a linear function, and the value of n that makes the 2/3 times n equals 4/9 true is 2/3

The equation in the question implies that:

2/3 of n equals 4/9

This equation can be expressed as:

2/3 * n = 4/9

Multiply both sides by 3

3 * 2/3 * n = 3 * 4/9

Evaluate the product

2 * n = 4/3

Divide both sides by 2

n = 2/3

Hence, the value of n that makes the 2/3 times n equals 4/9 true is 2/3

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Answer:

The Correct answer is C

Step-by-step explanation:

because i just took it.

Answer:

c

Step-by-step explanation:

Answer:

Probability that the spending is more than $42.35 is 0.7271.

Step-by-step explanation:

We are given that American Statistical Association budget is distributed normally with a mean spending of $45.67 and a standard deviation of $5.50.

Let X = American Statistical Association budget

So, X ~ N([tex]\mu=45.67,\sigma^{2} =5.5^{2}[/tex])

The z-score probability distribution for normal distribution is given by;

               Z = [tex]\frac{ X -\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean spending = $45.67

            [tex]\sigma[/tex] = standard deviation = $5.50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that the spending is more than $42.35 is given by = P(X > $42.35)

  P(X > $42.35) = P( [tex]\frac{ X -\mu}{\sigma}[/tex] > [tex]\frac{42.35-45.67}{5.5}[/tex] ) = P(Z > -0.604) = P(Z < 0.604)

                                                              = 0.7271

Now, in the z table the P(Z [tex]\leq[/tex] x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.604 in the z table which will lie between x = 0.60 and x = 0.70 which has an area of 0.7271.

Hence, the probability that the spending is more than $42.35 is 0.7271.

Answer:

8. 11 packets

Step-by-step explanation:

8. If the machine makes 88 pieces in 1 minute and puts 8 pieces in each snack packet 88÷8=11 so, 11 packets are filled each minute.

I cannot read 9. as it is cut off, so i can't answer it :)

Final answer:

In an economy with 100 workers who can produce either four cakes or three shirts, they can make 400 cakes or 300 shirts, respectively, when all are dedicated to one task.

Explanation:

Calculating Production Output

If an economy has 100 identical workers with each one capable of producing either four cakes or three shirts, we can calculate the total production of each good. When all workers are cooking, the number of cakes that can be produced in this economy is 400 cakes (100 workers × 4 cakes per worker).

Conversely, if all workers are sewing shirts, then the total number of shirts produced is 300 shirts (100 workers   ×3 shirts per worker).

Answer:

a) probability of choosing the mean amount of sleep for adult as  μ < 9 hours when it is μ = 8.5 hours is 0.4038

b) There is a 0.5962 probability of failing to choose that the mean amount of sleep for adult is  μ < 9 hours when it is μ = 8.5 hours

Step-by-step explanation:

a) Interpret the value of the power

The power of an hypothesis is the probability of rejecting the null hypothesis when the alternative hypothesis is valid. It is a type 1 error

Power = 0.4038

From the hypothesis test,

the null hypothesis, μ = 8.5 hours

Alternative hypothesis, μ < 9 hours

Sine the power is the probability of rejecting the null hypothesis, it means that the probability of choosing the mean amount of sleep for adult as  μ < 9 hours when it is μ = 8.5 hours is 0.4038

b)

Power + β = 1

β = 1 - Power

β = 1 - 0.4038

β = 0.5962

β, type 2 error, is the probability of not rejecting the null hypothesis even when it is false.

It means that there is a 0.5962 probability of failing to choose that the mean amount of sleep for adult is  μ < 9 hours when it is μ = 8.5 hours

The power of a test (0.4038 in this case) is the probability that we correctly reject the null hypothesis, given the actual population mean is 8.5 hours. Beta (1 - Power, or 0.5962 in this case) is the probability of committing a type II error, which is incorrectly accepting the null hypothesis.

In the context of hypothesis testing in statistics, the power of a test refers to the probability that the test will correctly reject the null hypothesis when the alternative hypothesis is true. In this specific scenario, the power of the test is 0.4038. This means that there is a 40.38% chance that we would correctly conclude that the mean sleep for adults is less than 9 hours, assuming that the actual population mean is 8.5 hours.

The value of beta represents the probability of committing a type II error, which is the error of not rejecting a null hypothesis when it should be rejected; in other words, incorrectly concluding that the mean sleep for adults is not less than 9 hours when it actually is. The value of beta can be calculated as 1 minus the power of the test, so in your case it would be 1 - 0.4038 = 0.5962. This means there is a 59.62% chance of committing a type II error.

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Answer:

wydjae  is męi ze tak

Step-by-step explanation:

The appropriate scale for the y-axis include:

A = 2000

B = 4000

C = 6000

D = 8000

E = 10000

F = 12000

G = 14000

In Mathematics and Euclidean Geometry, a bar chart is a type of graph that is used for the graphical representation of a data set, especially through the use of rectangular bars and vertical columns.

Since the set of axes starts from the origin (0, 0), an appropriate scale for the y-axis (number of satisfied customers) of the graph can be calculated as follows;

1 unit = 250 customers

4 units = (4 × 250) = 2,000 customers.

In this context, the appropriate scale for the y-axis should be completed as follows:

A = 2000

B = 4000

C = 6000

D = 8000

E = 10000

F = 12000

G = 14000

Complete Question;

Look at chart below.

The number of satisfied customers is given below each month on the x-axis.

Select an appropriate scale for the y-axis of the graph.

The appropriate scale for the y-axis is:

A =

B =

C =

D =

E =

F =

G =

Answer:

2

Step-by-step explanation:

6×2=12

That is how I got the answer.

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 10 bananas and 2 apples

The number of apples are 2 and number of bananas is 10.

Two or more expressions with an Equal sign is called as Equation.

Given that Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients.

She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total.

On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Let Bananas is denoted by B and Apples are represented by A.

A+B=12...(1)

5A+7B<80...(2)

A=12-B

Substitute in equation 2.

5(12-B)+7B=80

60-5B+7B=80

60+2B=80

Subtract 60 on both sides.

2B=80-60

2B=20

Divide both sides by 2.

B=10

A+B=12

A+10=12

A=2

Hence, the number of apples are 2 and number of bananas is 10.

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Answer:

Adding 254 to both sides.

This is an inverse operation.

On the right side of the equation, there is a -254, which you need to get rid of in order to isolate p. (You have to isolate p to find the value)

So, since it is -254, you would do +254 on BOTH sides of the equation. Hope this helps!!

The inverse operation needed to solve for p in the equation 765 = p - 254 is addition.

To solve for p in the equation 765 = p - 254, we need to isolate p on one side of the equation. To do this, we can use the inverse operation of subtraction, which is addition. By adding 254 to both sides of the equation, we get:

765 + 254 = p - 254 + 254

Simplifying the equation gives us:

1019 = p

Therefore, the inverse operation needed to solve for p is addition.

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Answer:

5 laps

Step-by-step explanation:

We can use ratios to solve

3 minutes        15 minutes

----------------- = ------------------------

1 lap                   x laps

Using cross products

3x = 15

Divide each side by 3

3x/3 = 15/3

x = 5

He can do 5 laps

Answer:

0.011

Step-by-step explanation:

let's see so first

first you line the numbers on the right (DO NOT ALINE DECIMAL POINTS)

second, starting from on the right multiply each digit in the top number by each digit in the bottom number just as whole numbers .

after add the products

Answer:

I hope this helps

Answer:

  -1

Step-by-step explanation:

The required relation is ...

  7n = n^2 -8

  0 = n^2 -7n -8 . . . . put in standard form

  0 = (n -8)(n +1) . . . . factor

Solutions are n=8 and n=-1.

The negative solution is -1.

Answer:

[tex]f(a) = \frac{(a+5)}{(a-1)}[/tex]

Step-by-step explanation:

Given : [tex]f(x) = \frac{(3+x)}{(x-3)}[/tex]

In order to find [tex]f(a+2)[/tex] we will substitute [tex](a+2)[/tex] for [tex]x[/tex] in the given function, that is :

[tex]f(a) = \frac{(3+a+2)}{(a+2-3)}[/tex]

[tex]f(a) = \frac{(a+5)}{(a-1)}[/tex]

Answer:

7.28 7.29  c

Step-by-step explanation:

The square root of 53 can be found to lie between the values of 7.28 and 7.29.

The square root function can only have non negative values. If we take thee square root of a number, we obtain a value that can be multiplied by itself to obtain the number.

The square root of 53 can be found to lie between the values of 7.28 and 7.29.

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