All categories

4 years ago

What is the distance between A and B? Round your answer to the nearest tenth.

Mathematics

2 answers:

worty [1.4K]4 years ago

5 0

Answer:

6.4

Step-by-step

You have to use the Pythagorean Theorem. a^2+b^2=c^2

4^2+5^2=c^2

16+25=41

The square root of 41 is 6.40312...

Round that to the nearest tenth to get 6.4

PSYCHO15rus [73]4 years ago

3 0

Answer: 6.4

Step-by-step explanation: a^2 +b^2=c^2

You might be interested in

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

This Zscore is how many standard deviations the value of the measure X 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.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

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

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$

The standard deviation of a sample of n young man is given by the following formula

$s = \frac{\sigma}{\sqrt{n}}$

We want to have $s = 0.167$

$0.167 = \frac{2.8}{\sqrt{n}}$

$0.167\sqrt{n} = 2.8$

$\sqrt{n} = \frac{2.8}{0.167}$

$\sqrt{n} = 16.77$

$\sqrt{n}^{2} = 16.77^{2}$

$n = 281.23$

We need a sample of at least 282 young men.

6 0

4 years ago

A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 40 dumpster loads of

iragen [17]

Plugging in (5 weeks, 40 loads) and (10 weeks, 30 loads) into each choice indicates that f(x) = -2x + 50 is the only correct answer.

4 0

3 years ago

Read 2 more answers

A metal rod is placed in a rectangular box as shown in the figure. How long is the rod? Round your answer to the nearest tenth o

Alexandra [31]

Fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5

now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B

7 0

3 years ago

8 +7m = m +5m 5 +2n = -1 +4n

Dmitry_Shevchenko [17]

8 +7m=6m (combine like terms)
8=-m ( subtract 7m on both sides)
m=8 (divide by -1)

5=-1+2n ( subtract 2n on both sides)
6=2n (add 1 on both sides)
3=n (divide by 2 on both sides)

4 0

4 years ago

Help please!!!! Solve the system by graphing

kotegsom [21]

Answer:

picture of graph is attached. lmk if ur getting these right. its been a while since I've dont this

7 0

3 years ago