CAN SOMEONE PLEASE HELP ME . I’m taking the quiz now

Two hikers hike from a first mountain to a second mountain. The next day, they hike from the second mountain to the hollow. The

miskamm [114]

Answer: on the first day, they hiked 9 miles.

On the second day, they hiked 16 miles.

Step-by-step explanation:

Let x represent the distance that the two hikers hiked from the first mountain to the second mountain.

Let y represent the distance that the two hikers hiked from the second mountain to the hollow.

The total distance is 25mi. This means that

x + y = 25 - - - - - - - - - - - - - -1

If the distance between the second mountain and the hollow is 7mi more than the distance from the first mountain to the second mountain, it means that

y = x + 7

Substituting y = x + 7 into equation 1, it becomes

x + x + 7 = 25

2x = 25 - 7

2x = 18

x = 18/2 = 9

y = x + 7 = 9 + 7

y = 16

6 0

3 years ago

There are 169 million registered voters in the us. determine an interval for the number (how many) of registered democrats in th

VashaNatasha [74]

Part A:

Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span> $\hat{p}= \frac{204}{400} =0.51$

</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

$95\%\ C.I.=\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\ \\ =0.51\pm1.96\sqrt{\frac{0.51(1-0.51)}{400}}=0.51\pm1.96\sqrt{\frac{0.2499}{400}} \\ \\ =0.51\pm1.96(0.025)=0.51\pm0.049=(0.51-0.049,\ 0.51+0.049) \\ \\ =\bold{(0.461,\ 0.559)}$

Part B:

Given that t<span>here are 169 million registered voters in the US, the interval for the number of registered democrats in the population is given by

[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
</span>

6 0

3 years ago

Which graph represents the solution set of this inequality? -2x + 7 < 23

Mrrafil [7]

Answer:

-2x < 23-7

-2x < 16

-2x÷-2 < 16 ÷ -2

x > -8

4 0

2 years ago

The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions a

jolli1 [7]

Answer:

e. 0.977

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 478, \sigma = 64$