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3 years ago

11

Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa

r is Harper from home, if the map shows the distance as 3 inches? Enter your answer in the box. yards

1 answer:

AVprozaik [17]3 years ago

5 0

Answer:

4.4 yd

Step-by-step explanation:

Scale = 50 yd:34 in

Distance from home = 3 × 50/34

Distance from home = 4.4 yd

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yawa3891 [41]

Answer:

B. 0.78

Step-by-step explanation:

0.78 would be closest to the nearest hundredth, depending on where the decimal is depends on how many numbers that come after the decimal.

Therefore 0.078 would be to the nearest thousandths and 7.8 would be to the nearest tenths.

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3 years ago

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Which equation represents the total commission (c) a sales associate receives if he sells 15 laptop computers (l)? What is the t

Leto [7]

Answer : C

the total commission (c) a sales associate receives if he sells 15 laptop computers (l)

Total commission = number of laptops * commission for each laptop

Total commission is c

number of laptops is 15

commission for laptop is l

C = 15 * I

So c= 15l

the commission for selling each computer is $39.95

c= 15l

c = 15 * 39.95 = 599.25

3 0

3 years ago

Suppose a poll is taken that shows that 765 out of 1500 randomly selected, independent people believe the rich should pay more

Zanzabum

Answer:

$z=\frac{0.51 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1500}}}=0.775$

$p_v =P(z>0.775)=0.219$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ 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 interest is not significantly higher than 0.5

Step-by-step explanation:

Data given and notation

n=1500 represent the random sample taken

X=765 represent the successes

$\hat p=\frac{765}{1500}=0.51$ estimated proportion of successes

$p_o=0.5$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ 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 the true proportion is higher than 0.5:

Null hypothesis: $p \leq 0.5$

Alternative hypothesis: $p > 0.5$

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

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

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

Calculate the statistic

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

$z=\frac{0.51 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1500}}}=0.775$

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 $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(z>0.775)=0.219$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ 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 interest is not significantly higher than 0.5

8 0

3 years ago

Plot the solution set of |-x|=3.5

lutik1710 [3]

It is 3.5, because anything inside an absolute is always positive.

5 0

3 years ago

Find (1/3 + 5/6 - 1/6) / (4/5)<br>

Marta_Voda [28]

Answer:

$\frac{5}{4}$

Step-by-step explanation:

$(\frac{1}{3} + \frac{5}{6} - \frac{1}{6}) \div \frac{4}{5}\\\\( \frac{2 + 5 - 1}{6}) \div \frac{4}{5} \\\\(\frac{6}{6}) \div \frac{4}{5}\\\\\frac{1}{\frac{4}{5}}\\\\\frac{5}{4}$

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3 years ago

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