Convert 1/5 to a decimal number by completing the long division. Remember to add 0s to the dividend as you work. Divide through the ten-thoudandths place, and write your result.

Answer:

Since the calculated value of z= 1.869 does not fall in the critical region we accept the null hypothesis H0: p1≠ p2  the data provides evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours.

Step-by-step explanation:

Let p1= proportion of the high school students having internet access

p2= proportion of the rural school students having internet access

1) The null and alternate hypothesis are

H0: p1≠ p2  against the claim   Ha: p1= p2

2) We choose significance level ∝ =0.05

3) The test statistic under H0 is

z= p1^- p2^/√ p^q^( 1/n1 + 1/n2)

Now

p1^= 768/850= 0.9035

p2^= 308/355= 0.8670

p^= 768+ 308/850+ 355= 1076/1205

p^= 0.8929

q^= 1-p^= 0.1070

Putting the values

z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)

Z= 0.9035-0.8670/sqrt [0.8929*0.1070( 1/850 + 1/355)]

z= 0.0365/ sqrt [ 0.0955403 (0.001176 + 0.002816)]

z= 0.0365/ 0.019531

z= 1.8688

The critical region is  z∝/2 = ± 1.96

The value of z is 1.8666. The value of p is 0.06148 which is greater than 0.05

Conclusion:

Since the calculated value of z= 1.869 does not fall in the critical region we accept the null hypothesis H0: p1≠ p2  the data provides evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Now

Distance:-

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

To solve more problems based on the linear equations:

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Answer:

The General Sherman Tree is the world's largest tree, measured by volume. It stands 275 feet (83 m) tall and is over 36 feet (11 m) in diameter at the base. Sequoia trunks remain wide high up. Sixty feet above the base, the Sherman Tree is 17.5 feet (5.3 m) in diameter.

Step-by-step explanation:

Answer:

40% discount

Step-by-step explanation:

To find this remember the formula \(\frac{discount amount}{original price} = \frac{percent discount}{100}\)

To find the discount amount subtract $36 from $60 which is $24.

\(\frac{24}{60} = \frac{x}{100}\) next you have to cross multiply

24*100 = 2400 and 60*x = 60x

Now you have the equation 2400 = 60x

Divide both sides by 60 to isolate the variable

x = 40

Answer:

Step-by-step explanation:

If A is 170 less than B, than the equation for that is:

A = B - 170 (1) where the word "is" means equals and less than is subtraction.

If the total of A + B is 1520, then

A + B = 1520 (2). Sub equation (1) into equation (2):

(B - 170) + B = 1520 and

2B - 170 = 1520 and

2B = 1690 so

B = 845. Building B is 845 feet tall and Building A is

A = 845 - 170 (this is equation (1) with the height of B subbed in) so

A = 675 feet

675 + 845 should equal 1520 according to our equation. And of course it does.

Answer: 675 + 845 should equal 1520 according to our equation. And of course it does.

At the null hypothesis, it is tested if the mean is of 15 years, that is:

\(H_0: \mu = 15\)

At the alternative hypothesis, it is tested if the mean is different of 15 years, that is:

\(H_1: \mu \neq 15\)

The equation that gives the test statistic is defined as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

The values of these parameters in this problem are given as follows:

\(\overline{x} = 17.4, \mu = 15, s = 6.3, n = 75\)

Hence the test statistic is of:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{17.4 - 15}{\frac{6.3}{\sqrt{75}}}\)

t = 3.30.

Considering a two-tailed test, as we are testing if the mean is different of a value, with t = 3.30 and 75 - 1 = 74 df, the p-value of the test is of:

0.0015.

Since the p-value is less than the significance level of 0.05, the null hypothesis is rejected, meaning that there is enough evidence to conclude that prisoners spend a time different of 15 years in the death row.

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1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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Answer:

y intercept when x is 0, so the answer is 3

Answer:

you can make 12 cans of them

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer:

Co-ordinates of the focus is; (0, -4)

Step-by-step explanation:

We are given;

Vertex at origin; (0, 0)

Equation of parabola; y = x²/4p

4p = -16

Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)

Now, from 4p = -16 we can find p

p = -16/4

p = -4

Thus coordinates of the focus is; (0, -4)

The value of the test statistic is given as follows:

z = 4.47.

The equation to calculate the test statistic using the z-distribution is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = 0.59, p = 0.5, n = 618\)

p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.

Then the test statistic is obtained as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)

z = 4.47.

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Answer:

This is not a function

Step-by-step explanation:

Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.

This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function

Answer:

This is not a function.

Step-by-step explanation:

The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.

Answer:

b

Step-by-step explanation:

hope this helps you get a good grade on the quiz ect

Answer:

The expected number of ticket holders that will fail to show for the flight is 13.9.

Step-by-step explanation:

For each ticket holder, there are only two possible outcomes. Either they fail to show up for the flight, or they do not. Ticket holders are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\(E(X) = np\)

5% of passengers fail to show for flights

This means that \(p = 0.05\)

278 tickets sold

This means that \(n = 278\)

What is the expected number of ticket holders that will fail to show for the flight?

\(E(X) = np = 278*0.05 = 13.9\)

The expected number of ticket holders that will fail to show for the flight is 13.9.

Answer:

Step-by-step explanation:

380%  retail store robbery :0

150 * 3.8 = $570  :/

Answer:

25 minutes

Step-by-step explanation:

First you subtract the original amount on the card from the remaining amount left.

So you can get the amount of money spent on that call.

$15 - $13.50 = $1.50

Then you divide that number by how much it cost per minute.

$1.50 ÷ 6 = 0.25

Then you get your answer!

She was on the phone for 25 minutes

Answer:

d≤7

Step-by-step explanation:

-10d≥-70

d≤7

Answer:

x ≈ 41.6°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \(\frac{opposite}{adjacent}\) = \(\frac{JK}{KL}\) = \(\frac{80}{90}\) = \(\frac{8}{9}\) , then

x = \(tan^{-1}\) ( \(\frac{8}{9}\) ) ≈ 41.6° ( to the nearest tenth )

Answer:

c. Both Tami and Vu performed equally well.

Step-by-step explanation:

To solve this question, we use z score

The formula for calculating a z-score is is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation.

a) For Tami , who took MCAT

We are told:

Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.

x = 524.2 points

μ = 505.6 points

σ = 9.3 points

z = 524.2 - 505.6/9.3

= 2

The z score for Tami is 2

For Vu, who took LSAT

We were told:

Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.

x = 171.1 points

μ = 150.7 points

σ = 10.2 points

z = 171.1 - 150.7/10.2

z = 2

The z score for Vu is also equal to 2

Therefore, we can say the bout Tami and Vu performed equally well.

Option c is the correct answer.

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{1}}} \implies \cfrac{3 +9}{-4}\implies \cfrac{12}{-4}\implies -3\)

Answer:

-3

Step-by-step explanation:

ya

F(-10) means the x value in the equation is -10.

Replace x with -10 and solve:

4(-10) -12 = -40 - 12 = -52

F(-10) = -52

Answer: -52

How to: Use the given functions to set up and simplify f ( − 10 ) .

Have a great day and stay safe ! sorry if im wrong

Answer:

128

explanation:

cross multiply whereby 8*-112

it gives u -896 which u divide by -7 to get value of m as 128

hope it helps

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

15 litres

Step-by-step explanation:

Given

5 litres = 12 guests

Required

Determine the number of litres for 36 guests

Represent the required number of litres with L.

So, we have the following relationship:

\(5\ litres = 12\ guests\)

\(L = 36\ guests\)

Cross Multiply

\(L * 12\ guests = 5\ litres * 36\ guests\)

\(L * 12= 5\ litres * 36\)

\(12L = 180\ litres\)

Solve for L

\(L = \frac{180\ litres}{12}\)

\(L =15\ litres\)

Hence, 15 litres are needed