Juliet coaches softball and soccer. she coaches both sports for 15 hours each day. soccer practice is 1.5 more hours more than 3 times as long as the softball practice. write a system of equations to model the situation.

Answer:

b. (4×12)+(3×7)

48+21= 69

she spent $69

Answer:

x=10

Step-by-step explanation:

I guess solve for x

5x=50

x=10

Answer:

x=10

Step-by-step explanation:

Subtract to 25 from both sides

5x+25-25=75-25

so 75- 25 is 50

then ur left with 5x=50 so u divide because 5 is by x which means multipy so u do the opposite which is divding

5÷50 =10

Answer:

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of 3 years

This means that [tex]\sigma = 3[/tex]

Sample of 18 voters

This means that [tex]n = 18[/tex]

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{3}{\sqrt{18}}[/tex]

[tex]M = 1.39[/tex]

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

Answer:

a)  c. 90.

b) The margin of error of the point estimate is of 6.19 minutes.

c) The minimum sample size needed to obtain this amount of precision is 289.

Step-by-step explanation:

(a) Which of the following numbers gives the value of the point estimate?

The value of the point estimate is the sample mean, of 90 minutes. So the answer is given by option c.

(b) Using the information given above, calculate the margin of error (in minutes) of the point estimate. Assume we would like to estimate the population mean with 95% confidence.

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0639.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Here, we have [tex]s = 15, n = 25[/tex]. So

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 2.0639\frac{15}{\sqrt{25}}[/tex]

[tex]M = 6.19[/tex]

The margin of error of the point estimate is of 6.19 minutes.

Question c:

College students tend to watch sports between 0 and 120 minutes per day, which means that the standard deviation for population can be estimated as the standard deviation of an uniform distribution with [tex]a = 0, b = 120[/tex]. This standard deviation is:

[tex]\sigma = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Then

[tex]\sigma = \sqrt{\frac{(120-0)^2}{12}}[/tex]

[tex]\sigma = 34.64[/tex]

Minimum sample size:

Now, since we have an estimate for the standard deviation of the population, we use the z-distribution.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The minimum sample size is n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{34.64}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96*34.64[/tex]

[tex]\sqrt{n} = \frac{1.96*34.64}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*34.64}{4})^2[/tex]

[tex]n = 288.1[/tex]

Rounding up:

The minimum sample size needed to obtain this amount of precision is 289.

Answer:

A) - 0.8 Ibs

B) There isn't enough information

    The standard deviations of the difference scores is needed

Step-by-step explanation:

N = 110 female first year college students

Mean weight at beginning of study = 130.6 Ib

Mean weight after six ( 6 ) months = 131.4 Ib

standard deviation = 20 pounds

A) Determine the change in the mean weight over the six(6) months period

mean weight at beginning - mean weight after six(6) months

= 130.6 - 131.4

= -0.8 Ibs

B) Determine if there is sufficient information to find a confidence interval

There isn't sufficient information to determine the confidence interval but in other to determine the confidence interval or conduct an estimate You need standard deviations of the difference scores to calculate the standard error of mean

Answer:

69.12

Step-by-step explanation:

12x5.76

Answer

69

Step-by-step explanation:

12×5.75=69

Answer:

Where are the statements?

Step-by-step explanation:

Where are the statements?

Answer:

Option D

Step-by-step explanation:

[tex]60+45+75=180[/tex]

[tex]Triangle ~has ~the~ sum ~of ~angle =180[/tex]

--------------------------

hope it helps...

have a great day!!

Answer:

D will be your answer!!

Step-by-step explanation:

hope it helps

Answer:

r=4.5, d=9

Step-by-step explanation:

So, lets go over two things.

#1 - What is Diamater?

Diamater is the distance from one side of a circle to the other.

#2 - What is radius?

Radius is the distance from any side of the circle, to the middle. This is half of the diamater.

In this case, the distance from one side of the circle to the other is 9in.

So the diamater must be 9.

d=9 in

Since we know the radius is half of the diamater, radius is:

9/2

=

4.5 in

So our radius must be 4.5.

r=4.5

This looks like the top answer.

Hope this helps! :D

Answer:

D

Step-by-step explanation:

Answer:

y

=

3

√

−

2

a

x

y

=

−

3

√

−

2

a

x

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

= 6 * (1/6 x)

= (6) * (2)

x = 12

Hope this helps....

Have a good day ahead :)

Answer:

The awnser is D) X=12

Step-by-step explanation:

Sorry if its blurry:<

Answer:

1.25 gallons of orange juice needed

Step-by-step explanation:

2(3/4)=3/2 cups per 1 person

24 x 3/2=36 cups for everyone

36 cups=18 pints

18-8=10 pints of orange juice

10 pints = 1.25 gallon

Answer:

1.25 gallons of orange juice

Step-by-step explanation:

24x2=48

3/4x48=36

36 cups into pints is 18 pints

18-8=10

10 pints into gallons is 1.25 gallons

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

[tex]3\cdot x + 14[/tex]

Long leg

[tex]3\cdot x + 13[/tex]

Short leg

[tex]x[/tex]

By the Pythagoric Theorem, we have the following expression:

[tex](3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}[/tex] (1)

[tex]9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169[/tex]

[tex]9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169[/tex]

[tex]x^{2} -6\cdot x -27 = 0[/tex]

[tex](x-9)\cdot (x+3) = 0[/tex]

As length is a positive variable by nature, then the only possible solution is [tex]x = 9[/tex]. Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Answer:

A

Step-by-step explanation:

because box is filled with four out of six and the second is filled with three out of six. So, you subtract the second one from the first one. I HOPE IT HELPS

Answer:

V = πr²h

V = 3.14 (5cm)²(7 cm)

V = 3.14 (25cm²) ( 7 cm)

V = 3.14 (175 cm³)

V = 549.50 cm³

Answer:

Ab^2 = CA^2 + BC^2

8^2 = 6^2 + a^2

64 = 36 + a^2

64-36 = a^2

28 = a^2

square root of 28 = square root of a^2

5 ,29 = a

5 = a

Answer:

Step-by-step explanation:

Required equations are:

Since d is same for both, we substitute d and solve for x:

They will be at same distance after 3 minutes

Time be x distance be y

Solve for x

Answer: Choice C

exact length = sqrt(26) units

approximate length = 5.10 units  

=======================================================

Work Shown:

We can use the distance formula.

A = (x1,y1) = (2,2)

B = (x2,y2) = (1,-3)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-1)^2 + (2-(-3))^2}\\\\d = \sqrt{(2-1)^2 + (2+3)^2}\\\\d = \sqrt{(1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.0990195\\\\d \approx 5.10\\\\[/tex]

The distance from A to B is exactly sqrt(26) units which approximates to 5.10 units. This distance represents the length of chord AB.

Answer:

2X2

Step-by-step explanation:

Answer: 10

Step-by-step explanation: 5 x 2 = 10

                                             5 + 5 = 10

Answer:

A and C

Step-by-step explanation:

The triangle given has three equal sides and three equal angles.

Since the sum of a triangle = 180°, therefore, each angle equals 60°

Thus, we can conclude that the triangle is an acute triangle because an acute triangle has all three sides measuring less than 90°. This implies that all it's angles are acute angles.

Also, since all its sides are equal and the same as well as it's three angles, based on this, we can equally say the triangle is an equilateral triangle.

The triangle can be referred to as an acute triangle and also as an equilateral triangle.

Answer:

-5

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 3 = -5

Check with the third term and the second term

-7 - (-2) = -7 +2 = -5

The common difference is -5

Answer:

I believe the answer to this question is (4,1)

Answer:

We know that:

If A is an even integer number, then A + 1 is an odd number

If B is an odd number, then B + 1 is an even number.

We also know that the product of two odd numbers is odd, and the product of two even numbers is even.

We want to prove that:

For all integers n, n^2 + n + 1 is odd.

We have two cases.

If n is even, then:

n^2  is the product of two even numbers, so is even.

n^2 + n is the sum of two even numbers, then it is even.

And:

(n^2 + n) + 1  is an even number plus one, so it is odd.

Now let's assume that n is odd.

n^2 is the product of two odd numbers, then n^2 is odd.

n^2 + n is the sum of two odd numbers, then it is even.

And similar as the previous case:

(n^2 + n) + 1 is an even number plus one, so it is odd.

Answer:

650,000 cm²

Step-by-step explanation:

10x6.5=65 METERS squared.  They want it in CENTIMETERS squared.

65m² = 650,000cm²

Answer:

32.5[tex]m^{2}[/tex]

Step-by-step explanation:

The coloured triangle with the blank triangle area =

(14m x 6.5m)÷2 = 45.5[tex]m^{2}[/tex]

The blank triangle area =

[(14-10m) x 6.5m]÷2 = 13[tex]m^{2}[/tex]

Therefore:

The coloured triangle area =

(45.5 - 13)[tex]m^{2}[/tex]

=32.5[tex]m^{2}[/tex]

Answer:

y = 500x + 1000

Step-by-step explanation:

The standadrd equation of a line is expressed as y = mx+b

m is the slope

is the y-intercept

Using the coordinate points (0, 1000) and (6, 4000)

Slope = y2-y1/x2-x1

Slope  = 4000 - 1000/6-0

Slope m = 3000/6

Slope m = 500

Since the line cut the y axis at y = 1000, hence the intercept b = 1000

Get the required equation;

Reall that y = mx+b

y = 500x + 1000

Answer:

adjacent anf o vertical

Step-by-step explanation:

Answer:

Small-6

Large-2

Step-by-step explanation:

small-$8

large-$16

$8×6=$48

$80-$48=$32

32÷16=2(large)

Answer:

girls

Step-by-step explanation:

an outlier is a number that is greater than the others.

boys doesnt have and outlier because the highest number has other numbers near it, while girls doesn't.

Answer:

its e because i have done it before

Step-by-step explanation:

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