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Kazeer [188]
3 years ago
6

Jessica and nancy are members of different video game libraries. jessica pays a membership fee of $40, and she pays $50 for ever

y video game she rents. the following function shows the total amount of money,y, in dollars, that nancy pays for renting x number of video games: y=4x+30
how many more dollars does jessica pay for a membership fee than nancy?
$1
$4
$10
$36
Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

It would be 10 because With Nancy, y=4x+30, 30 is the membership fee which is 10 less than Jessicas membership fee of 40.

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A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase
il63 [147K]

Answer:

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

<em>The question is incomplete. The complete question is:</em>

<em>"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that </em><em>318 of the 520 men </em><em>who were surveyed supported this proposed law while </em><em>379 of the 460 women </em><em>sampled said ‘‘yes”. Use this information to find a </em><em>90% confidence interval</em><em> for the difference in the two proportions, </em><em>pm - pw.</em><em> </em><em>Subscript pm</em><em> is the proportion of men who support the proposed law and </em><em>pw</em><em> is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"</em>

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

p_m=X_m/n_m=318/520=0.612

The sample 2, of size nw= has a proportion of pw=0.824.

p_w=X_w/n_w=379/460=0.824

The difference between proportions is (pm-pw)=-0.212.

p_d=p_m-p_w=0.612-0.824=-0.212

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711

The estimated standard error of the difference between means is computed using the formula:

s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029

Then, the margin of error is:

MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0
3 years ago
If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to
Semmy [17]

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

7 0
3 years ago
3 girls share $680 in the ratio 9 : 7 : 4, show that adele receives $306
Korolek [52]

Answer:

=$306

Step-by-step explanation:

9/20*$680

4 0
3 years ago
A rental car agency rents cars for $32 per day. They also charge $0.15 per mile driven. If you are taking a 5-day trip and have
xz_007 [3.2K]
So the equation is 32x+0.15y = $250
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32(5)+0.15y = $250
You multiply 32 by 5 = 160
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And to simplify the equation(to make it easier) you subtract 160 on both sides
0.15y = $90
Now you’re trying to find y, so divide 90 by 0.15 to find the maximum of miles you can drive.
y = 600 mi
The maximum amount of miles you can drive is 600

Graph:
I can’t show any pictures sorry
But this is how you do it
Make a number line
Graph 600 with a closed circle, like this: ●
Then make an line going to the left(because you can’t go any more than 600)

Hope this helps! :^)

6 0
3 years ago
Find the point of depression from point A to point C
lesya [120]

The angle of depression equals 32.


A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.

So you do the triangle angle sum theorem.

58+90+x=180

Simplify

148 +x=180

Subtract 148 from both sides

x=32

So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.

3 0
3 years ago
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