Find the angle measure in degrees

Answer:

There is no way. Its 6.

Step-by-step explanation:

2 x 2 is 4

4 +2 is 6

Answer:

The correct answer is x [tex]\geq[/tex] 106, where x is the marks score by Jose in his remaining test, n.

Step-by-step explanation:

Jose scored 544 points in his math test.

Jose needs minimum of 650 points to get an A.

Let Jose scores x in the remaining test, n.

Jose needs to score an A. So, to reach 650 points, Jose need to score a minimum of 650 - 544 = 106 points.

Thus the value of x must be greater than of equal to 106, in his remaining test, n, to ensure that Jose gets an A.

⇒ x [tex]\geq[/tex] 106.

Answer:

5

Step-by-step explanation:

Figuring the short side, it becomes a nice 3, 4, 5 triangle

so the short side is 5 units.

Hope this helped

:)

Final answer:

The length of the shortest side of the triangle is the length of side BC, which is calculated to be 5 units using the distance formula.

Explanation:

To find the length of the shortest side of the triangle with the given vertices, we will calculate the length of each side using the distance formula √((x2-x1)² + (y2-y1)²) and then determine the shortest one.

Therefore, the length of the shortest side is the length of side BC, which is 5 units.

Answer:

4

Step-by-step explanation:

Hope this helped :)

Answer:

it is 9

Step-by-step explanation:

because 2+2=4+2=6+2=9

Answer:

The required amount of minutes is 5796.05 minutes

Step-by-step explanation:

Here, since we have that the sick leave is given as 1 minute per hour worked per month and

The amount of unused sick leave is uniformly distributed between 0 and 480

Therefore, there are 481 employees, counting from 0 to 480 with 0 included

Where the company wishes no more than 5% of all employees get cash payment then we have

Total number of minutes  = 1 to 481 = 115921  minutes

Therefore, we have 5% of 115921 = 5796.05 minutes  

The balance amount of minutes = 115921  minutes - 5796.05 minutes  

= 110124.95 minutes.

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex] \frac{90}{360} \times 2 \times \pi \times 7 \\ \frac{1}{4} \times 2 \times \frac{22}{7} \times 7 \\ = 11[/tex]

Answer:

11

Step-by-step explanation:

[tex] = \frac{1}{2} \pi \: r \\ = \frac{1}{2} \times \frac{22}{7} \times 7 \\ = \frac{1}{2} \times 22 \\ = 11[/tex]

Answer: The weight of each piece of fudge is 12.5 pounds

Step-by-step explanation: To find how much each piece of fudge weighs simply divide 75 by 6 to get the equal weight for 6 pieces.

75/6 = 12.5 pounds per piece.

Answer:

The system of equations are

x+y=557

[tex]\frac35x+\frac56 y=407[/tex]

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which [tex]\frac35[/tex] of the shorter book and [tex]\frac56[/tex] of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

[tex]\frac35[/tex] page of the shorter book  [tex]=\frac35 x[/tex]

[tex]\frac56[/tex] pages of the longer book = [tex]\frac56y[/tex]

So, he has read [tex]=\frac35x+\frac 56y[/tex]

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

[tex]\frac35x+\frac56 y=407[/tex].......(2)

We can write equation (2) as

[tex]\frac35x+\frac56 y=407[/tex]

[tex]\Rightarrow \frac{18x+25y}{30}=407[/tex]

[tex]\Rightarrow {18x+25y}=407\times 30[/tex]

[tex]\Rightarrow {18x+25y}=12,210[/tex]......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     [tex]\Rightarrow y=\frac{2184}{7}[/tex]

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

The system of equation that can be used to determine the total number of pages in the shorter book x, and the total number of pages in the longer book, y is

3 / 5 x + 5 / 6 y = 407

x + y = 557

Scott has read 407 of the total number of 557 pages, which is  3 / 5 of the shorter book and 5 / 6 of longer book.

x = number of pages in the shorter book

y = number of pages in the longer book

Therefore, the system of equation that can be used to determine the total number of pages in the shorter book x, and the total number of pages in the longer book, y is as follows;

3 / 5 x + 5 / 6 y = 407

x + y = 557

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Answer:

Correct answers is

[tex] \frac{1}{216} [/tex]

Step-by-step explanation:

Given: The chances of striking the bull's-eye each time of throw =\frac{1}{6}

Since, if we throe dart on dart board , each event will be independent of the other.

Then, If we throw 3 times, what is the probability that we will strike the bull's-eye all 3 times is given by :-

[tex]p(strike \: bulls \: eye \: ) = \frac{1}{6} x \frac{1}{6} x \frac{1}{6} = \frac{1}{216} [/tex]

Hence, the probability that we will strike the bull's-eye all 3 times is 1/216

Answer:

1/216

Step-by-step explanation:

Answer:

A=Bh

the area of a parallelogram is base times height

Answer:

0.75 is the probability of selecting a CD that is not comedy.

Step-by-step explanation:

We are given the following in the question:

Number of comedy CD = 4

Number of science CD = 5

Number of adventure CD = 7

Total number of CD,n = 16

We have to find the probability for selecting a random CD that is not comedy.

Formula:

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

P( Non-Comedy CD) =

[tex]=\dfrac{\text{n(Non-Comedy)}}{n}\\\\=\dfrac{5+7}{16} = \dfrac{12}{16}=\dfrac{3}{4}= 0.75 = 75\%[/tex]

Thus, 0.75 is the probability of selecting a CD that is not comedy.

Answer:

2.54648 ft

Step-by-step explanation:

r = 8/π (ft.) Therefore, the radius of the circle when its circumference is 16 feet is r ≈ 2.54648 ft. C = 2 (3.14159) (2.54648) ft :)

Answer:

452 cm^3

Step-by-step explanation:

The volume of a cilinder is [tex]\pi (radius^{2})(height)[/tex]

The diameter of the cup is 8cm, the formula of the radius is [tex]\frac{diameter}{2}[/tex]

So the radius would be [tex]\frac{8}{2}[/tex] = 4cm

We change variables in the formula of the volume [tex]\pi(4^{2})(9)[/tex] = 144[tex]\pi[/tex] = 452cm^3

Answer:

i needed the same thing woa

Answer:

A. [tex]h(x) = 3^{x+1}[/tex]

Step-by-step explanation:

Stretching means that original function is multiplied by a constant, which is equal to 3 in this case:

[tex]h(x) = 3 \cdot g (x)[/tex]

[tex]h(x) = 3\cdot 3^{x}[/tex]

[tex]h(x) = 3^{x+1}[/tex]

The answer is A.

Answer:

A

Step-by-step explanation:

Answer:

  5 1/4

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its inverse.

  (3 3/4)/(5/7) = (15/4)/(5/7) = (15/4)·(7/5) = 21/4 = 5 1/4

_____

Many graphing calculators (and some scientific calculators) will do this mixed-number arithmetic for you.

Answer:

[tex]z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309[/tex]  

[tex]p_v =P(z<-0.309)=0.379[/tex]  

So the p value obtained was a very high value and using the significance level given [tex]\alpha=0.05[/tex] we have [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

[tex]\hat p=\frac{115}{180}=0.639[/tex] estimated proportion of adults with the medication was effective

[tex]p_o=0.65[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

[tex]p_v[/tex] represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:  

Null hypothesis:[tex]p \geq 0.65[/tex]  

Alternative hypothesis:[tex]p < 0.65[/tex]  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

The One-Sample Proportion Test is used to assess whether a population proportion [tex]\hat p[/tex] is significantly different from a hypothesized value [tex]p_o[/tex].

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

[tex]z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309[/tex]  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided [tex]\alpha=0.05[/tex]. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

[tex]p_v =P(z<-0.309)=0.379[/tex]  

So the p value obtained was a very high value and using the significance level given [tex]\alpha=0.05[/tex] we have [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

Answer:

H0: p = 0.65

Ha: p < 0.65

Sample proportion  = 115 / 180 = 0.6389

Test statistics

z =  - p / sqrt( p( 1 -p ) / n)

= 0.6389 - 0.65 / sqrt ( 0.65 * 0.35 / 180)

= -0.31

Critical value at 0.05 level = -1.645

Since test statistics falls in non-rejection region, do not reject H0.

We conclude at 0.05 level that we fail to support the claim.

Step-by-step explanation:

1 is union so all all the numbers inside the circles:

{8,9,14,15,16,17}

2 is intersection so the numbers where the circles cross each other

{14,17}

3. A’ is any number not included with A

There are 10 total numbers.

7 are not associated with A

Probability would be 7/10 = 0.70

The error interval for y is 7.8 ≤ y < 7.9.

The error interval is determined by the decimal digits that will determine the value of y. Since the calculator display shows 7.8, y will be between 7.8 and the next smallest number, which will be 7.9. Therefore, the error interval for y is:

7.8 ≤ y < 7.9

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The error interval for y is [7.8, 7.9).

To find the error interval for y, we need to consider the decimal place immediately after the given value on Sarah's calculator display. Since the given value is 7.8, we look at the digit after the decimal point, which is 0. If this digit is 5 or greater, we round up the previous digit. In this case, 0 is not greater than 5, so we do not round up. Therefore, the error interval for y is [7.8, 7.9).

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Answer:

Net worth is defined as:

Assets - Liabilities.

Assets are what you own.

Liabilities are what you have to pay.

So, home + truck + investments are assets.

Likewise, mortgage + student loans + credit cards are liabilities.

Doing the math, Susan's net worth is

Assets - Liabilities

$143,392.90 - $98,077.12 =

$45,315.78

Susan's net worth is $45,315.78

Good luck!

Susan's net worth is calculated by subtracting her total liabilities (mortgage, student loans, and credit card debt) from her total assets (home, truck, and investments). Therefore, Susan's net worth is $45,315.78.

The question is about calculating Susan's net worth. Net worth is calculated by subtracting the total liabilities from total assets. In Susan's case, her assets include her house, truck, and investments, which total to $143,392.90 ($128,318.74 for the house, $10,615.00 for the truck, and $4,459.16 for her investments). Her liabilities include her mortgage, student loans, and credit card debt, which sums up to $98,077.12 ($93,987.74 for the mortgage, $2,874.46 for the student loans, and $1,214.92 for the credit card debt). To calculate Susan's net worth, subtract total liabilities from total assets. Therefore, Susan's net worth is $45,315.78 ($143,392.90 - $98,077.12).

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Answer:

75%

Step-by-step explanation:

Here, we are asked to calculate the percentage of a trip that has been completed by Leigh.

Firstly, we identify the total length of the trip, this is 1470km. She stopped 370km from her destination. The length of the distance traveled is 1470km - 370km = 1100km

Now we proceed to calculate what percentage of the journey is this.

We calculate this by placing it over the total length multiplied by 100%

That would be

1100/1470 * 100 = 74.82 approximately 75%

Answer:

3/20 of the students play soccer

Step-by-step explanation:

1. Divide the amount of students that play sports, 3/4 by the amount of those that play soccer, 1/5

2. 3/4 divided by 1/5= 3/20

Answer:

3/20

Step-by-step explanation:

Answer:

The area of frame is 180 square meters.

Step-by-step explanation:

We are given the following in the question:

Dimension of rectangular painting:

Length, l = 20 cm

Width, w = 16 cm

Dimension of frame:

Length, L = 25 cm

Width, W = 20 cm

We have to find the area of frame.

Area of rectangle =

[tex]A = l\times w[/tex]

Area of frame =

[tex]A-a\\=(L\times W)-(l\times w)\\=(25\times 20)-(20\times 16)\\=180\text{ square meters}[/tex]

Thus, the area of frame is 180 square meters.

Answer: The equilibrium point is where; Quantity supplied = 100 and Quantity demanded = 100

Step-by-step explanation: The equilibrium point on a demand and supply graph is the point at which demand equals supply. Better put, it is the point where the demand curve intersects the supply curve.

The supply function is given as

S(q) = (q + 6)^2

The demand function is given as

D(q) = 1000/(q + 6)

The equilibrium point therefore would be derived as

(q + 6)^2 = 1000/(q + 6)

Cross multiply and you have

(q + 6)^2 x (q + 6) = 1000

(q + 6 )^3 = 1000

Add the cube root sign to both sides of the equation

q + 6 = 10

Subtract 6 from both sides of the equation

q = 4

Therefore when q = 4, supply would be

S(q) = (4 + 6)^2

S(q) = 10^2

S(q) = 100

Also when q = 4, demand would be

D(q) = 1000/(4 + 6)

D(q) = 1000/10

D(q) = 100

Hence at the point of equilibrium the quantity demanded and quantity supplied would be 100 units.

A. The point at which supply and demand are in equilibrium is [tex]q=4[/tex].

B. The consumer's surplus is 178.16 .

C. The producer's surplus is 66.6 .

Given,

The supply function for a certain item is,

[tex]S(q)= (q+6)^2[/tex]

The demand function is,

[tex]D(q)= \dfrac{1000}{ (q+6)}[/tex]

Now we know that the supply and demand are in equilibrium where the supply and demand functions are equal.

So for equilibrium,

[tex]S(q)= D(q)[/tex]

[tex](q+6)^2=\dfrac{1000}{q+6}[/tex]

[tex](q+6)^3=1000[/tex]

[tex]q+6=\sqrt[3]{1000}[/tex]

[tex]q+6=10[/tex]

[tex]q=4[/tex]

Hence the point is [tex]q=4[/tex], at this point supply and demand are in equilibrium.

At equilibrium the supply is [tex](4+6)^2=100[/tex] and demand is also 100.

so, [tex](q^*,p^*)[/tex] is [tex](4,100)[/tex]

Now, the consumer's surplus will be,

[tex]\int\limits^{q^*}_0 {D(q)} \, dq-p^*q^*=\int\limits^4_0 {\dfrac{1000}{q+6} } \, dq -4\times 100[/tex]

[tex]\int\limits^{q^*}_0 {D(q)} \, dq-p^*q^*=1000[log10-log6]-400[/tex]

[tex]\int\limits^{q^*}_0 {D(q)} \, dq-p^*q^*=1000[1-0.778]-400[/tex]

[tex]\int\limits^{q^*}_0 {D(q)} \, dq-p^*q^*=1000\times 0.22184-400[/tex]

[tex]\int\limits^{q^*}_0 {D(q)} \, dq-p^*q^*=221.84-400[/tex]

[tex]\int\limits^{q^*}_0 {D(q)} \, dq-p^*q^*=178.16[/tex]

Now, the producer's surplus will be,

[tex]p^*q^*-\int\limits^{q^*}_0 {s(q)} \, dq=400-\int\limits^{4}_0(q+6)^2dq[/tex]

[tex]p^*q^*-\int\limits^{q^*}_0 {s(q)} \, dq=400-\frac{1}{3} [1000-0][/tex]

[tex]p^*q^*-\int\limits^{q^*}_0 {s(q)} \, dq=\dfrac{200}{3}[/tex]

[tex]p^*q^*-\int\limits^{q^*}_0 {s(q)} \, dq=66.66[/tex]

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To determine the possible length of the third side in a triangle with sides measuring 5 in. and 12 in., we need to check if the sum of the given sides is greater than the length of the third side.

In a triangle, the length of any side must be less than the sum of the lengths of the other two sides. Therefore, to determine the possible length of the third side, we need to check if the sum of the given sides is greater than the length of the third side.

Let the third side be denoted as 'x'.

For a triangle with sides measuring 5 in. and 12 in., the possible length of the third side must satisfy the inequality:

5 + 12 > x

17 > x

Therefore, any length less than 17 in. is a valid possibility for the third side.

Final answer:

The length of the third side of the triangle must be greater than 7 inches but less than 17 inches, following the triangle inequality theorem. If considering a right triangle, the hypotenuse would measure exactly 13 inches according to the Pythagorean theorem.

Explanation:

Based on the question about the lengths of the sides of a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Given that two sides of the triangle measure 5 inches and 12 inches, the length of the third side must be greater than 7 inches (12 - 5) but less than 17 inches (12 + 5).

This is because the third side must be long enough to reach between the ends of the other two sides to close the triangle, but can't be so long that it would stretch beyond both ends if laid out straight. In the context of a right triangle, such as described by the Pythagorean theorem, we could consider that if the triangle were right-angled, then using the given sides as legs, the length of the hypotenuse would actually be exactly 13 inches, as 5² + 12² = 13².

Answer: They must hire 12 Counselors and 18 Aides

Step-by-step explanation: The most important factor here is the fact that they need to minimize hiring costs. The math camp can afford to hire up to 45 members of staff and can as well run properly with 30 members of staff.

The camp must have at least 10 aides (simply put, any number above 10 will do). Also they may have up to 3 aides for every 2 counselors, that is the ratio of counselor to aide has been given as;

2 : 3

If the math camp decides to hire the minimum required in order to minimize cost, they would be hiring 30, and that would be divided according to the following ratio;

(Counselor):

30 x 2/5 = 12

(Aide):

30 x 3/5 = 18

Hence they would be hiring 12 counselors at a cost of

2400 x 12 = 28800

And 18 Aides at a cost of

1100 x 18 = 19800

Therefore the total (minimum) cost of hiring staff is $48,600

The problem is a mathematical optimization problem, solved using systems of inequalities. The camp's optimal hiring strategy can be obtained by satisfying a set of constraints and minimizing a cost function.

This problem can be solved using systems of inequalities in mathematics. Let's let C represent the number of counselors and A represent the number of aides. Here are the constraints you need to consider:

Also, keep in mind that the camp wants to minimize costs, and the average monthly salary is $2400 for counselors and $1100 for aides, so you need to minimize the total cost function: 2400C + 1100A. By solving this system of inequalities and minimizing the cost function, the camp will have an optimal hiring strategy.

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Answer:

r=1/π

Step-by-step explanation:

Area of the circle is defined as:

Area = πr²

Derivating both sides

[tex]\frac{dA}{dr}[/tex]=2πr

[tex]\frac{dA}{dt}[/tex]  =  [tex]\frac{dA}{dr}[/tex] x [tex]\frac{dr}{dt}[/tex]  =  2πr[tex]\frac{dr}{dt}[/tex]

If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have : [tex]\frac{dA}{dt}[/tex]  =2[tex]\frac{dr}{dt}[/tex]

Therefore,

2πr [tex]\frac{dr}{dt}[/tex]  =  2  [tex]\frac{dr}{dt}[/tex]

r=1/π

Answer:

r = 1/π

Step-by-step explanation:

Here we have

Area of a circle given as

Area = πr²

Where:

r = Radius of the circle

When the area of the circle is expanding twice as fast s the radius we have

[tex]\frac{dA}{dt} =2 \times \frac{dr}{dt}[/tex]

However,

[tex]\frac{dA}{dt} = \frac{dA}{dr} \times \frac{dr}{dt}[/tex] and

[tex]\frac{dA}{dr} = \frac{d\pi r^2}{dr} = 2\pi r[/tex]

Therefore, we have

[tex]\frac{dA}{dt} =2 \times \frac{dr}{dt} = 2\pi r \times \frac{dr}{dt}[/tex]

Cancelling like terms

[tex]1= \pi r[/tex]

Therefore, [tex]r = \frac{1}{\pi }[/tex].

Answer:

3.49

Step-by-step explanation:

5-1.51=3.49

Answer:

3.49 meters long

Step-by-step explanation:

5-1.51 = 3.49

- If you need this further explained please let me know. I would be glad to help.

Answer:

the answer is 9

Step-by-step explanation:

Answer:

193 shoppers

Step-by-step explanation:

2nd  120 +12

3rd  132+13.2

4rd 145.2+ 14.52

5th 159.72+15.972

6th 175.692 +17.5692

7th 193.2612