On a test, the number of questions Pam answered correctly was

Question 7 of 10 What is the sum of the first five terms of a geometric series with a1 = 10 and r = 1/5?

enot [183]

Answer:

12.496

Step-by-step explanation:

$\text{Sum}=\frac{a*(1-r^n)}{1-r}\\\text{Here a=10, r=1/5, plugging them in the above formula we get}\\\text{Sum}=\frac{10*(1-(1/5)^5)}{1-(1/5)}\\\text{Sum}=\frac{1562}{125}=12.496$

5 0

2 years ago

What formula do we use to find slope?

Kamila [148]

Answer:Remember, the formula for slope is (y2 - y1) / (x2 - x1).

Step-by-step explanation:

4 0

3 years ago

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A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

2 years ago

if 96 people were surveyed how many people voted woodpecker than for pelican? pelican=5/12 woodpecker =7/12

Marina CMI [18]

So first you would put these over a common denominator which is 96. You get this by multiplying by 9 and what you do to the denominator you must do to the numerator so you then get 45/96 and 63/96. Pelicans=45/96. Woodpeckers=63/96

6 0

2 years ago

sam bought some toys. he bought a baseball for $9.48 and paid 6.46 on marbles with a $20 bill. how much change from the purchase

Tasya [4]

He would have paid $15.94 and since he’s paying with a $20 bill, all you would do is subtract $15.94 from $29. This leaves us $4.06.

6 0

3 years ago

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