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sattari [20]
3 years ago
15

PRE ALGEBRA / PLEASE HELP!!||| How many kilometers is it from the main gate to the Manatee Springs? (Hint: to convert from yards

to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer.

Mathematics
2 answers:
mars1129 [50]3 years ago
7 0

Answer:

  • 6.04 km (per angle marks)
  • 5.36 km (per side hash marks)

Step-by-step explanation:

Going by the angle indicators, the ratios of corresponding sides of the similar triangles are ...

  x/2000 = 4200/3500

  x = 2000·6/5 = 2400 . . . . yards

Then the distance of interest is ...

  (2400 yd + 4200 yd)×(0.0009144 km/yd) = 6.6×.9144 km

  = 6.03504 km ≈ 6.04 km

_____

Going by the red hash marks, the ratios of corresponding sides of the similar triangles are ...

  x/2000 = 3500/4200

  x = 2000·(5/6) = 5000/3 . . . . yards

Then the distance of interest is ...

  (5000/3 + 4200) yd × 0.0009144 km/yd ≈ 5.36 km

_____

<em>Comment on the figure</em>

The usual geometry here is that the outside legs (opposite the vertical angles) are parallel, meaning that the angle indicators are the correct marks. It is possible, but unusual, for the red hash marks to be correct and the angle indicators to be mismarked. The red hash marks seem tentatively drawn, so seem like they're more likely to be the incorrect marks.

Ivanshal [37]3 years ago
6 0

Answer:

6.04 km (per angle marks)

Step-by-step explanation:

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pav-90 [236]

Answer:

I think; 1400 m

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4 0
3 years ago
A department store is holding a drawing to give free shopping sprees to two lucky customers. There are 17 customers who have ent
mixer [17]

Answer: Our required probability is 0.044.

Step-by-step explanation:

Since we have given that

Number of customers who have entered the drawing = 17

Number of customers live in the town of Gaston = 5

Number of customers live in Pike = 4

Number of customers live in Wells = 8

The first customer will be selected and then second customer will be selected from the remaining .

Probability of getting first customers are Pike residents = \dfrac{4}{17}

Probability of getting second customers are Pike residents = \dfrac{3}{16}

So, the probability that both customers selected are Pike residents are

\dfrac{4}{17}\times \dfrac{3}{16}\\\\=0.044

Hence, our required probability is 0.044.

5 0
3 years ago
NEED HELP IM BEGGING YOU PLEASE!!!!!!
gtnhenbr [62]

Answer:

-3 times -2 is 6 not -6

Step-by-step explanation:

Thats where he messed up

4 0
3 years ago
In a large midwestern university (the class of entering freshmen is 6000 or more students), an SRS of 100 entering freshmen in 1
Serga [27]

Answer:

The p-value of the test is 0.0228, which is less than the standard significance level of 0.05, which means that there is evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

1999:

20 out of 100 in the bottom third, so:

p_1 = \frac{20}{100} = 0.2

s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04

2001:

10 out of 100 in the bottom third, so:

p_2 = \frac{10}{100} = 0.1

s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03

Test if proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

At the null hypothesis, we test if the proportion is still the same, that is, the subtraction of the proportions in 1999 and 2001 is 0, so:

H_0: p_1 - p_2 = 0

At the alternative hypothesis, we test if the proportion has been reduced, that is, the subtraction of the proportion in 1999 by the proportion in 2001 is positive. So:

H_1: p_1 - p_2 > 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

From the two samples:

X = p_1 - p_2 = 0.2 - 0.1 = 0.1

s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05

Value of the test statistic:

z = \frac{X - \mu}{s}

z = \frac{0.1 - 0}{0.05}

z = 2

P-value of the test and decision:

The p-value of the test is the probability of finding a difference of at least 0.1, which is the p-value of z = 2.

Looking at the z-table, the p-value of z = 2 is 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228, which is less than the standard significance level of 0.05, which means that there is evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

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3 years ago
What is the percent change from 400 to 500?
faust18 [17]

Answer:

25%

Step-by-step explanation:

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