2ab+6a+12abc factored completely

An elevator has a placard stating that the maximum capacity is 1296 lb long dash — 8 passengers. So, 8 adult male passengers ca

Masja [62]

Answer:

There is a 98.26% probability that it is overloaded.

This elevator does not appear to be safe.

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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that weights of males are normally distributed with a mean of 170 lb, so $\mu = 170$

They have a standard deviation of standard deviation of 29 lb, so $\sigma = 29$ .

We have a sample of 8 adults, so we have to find the standard deviation of the sample to use in the place of $\sigma$ in the Z score formula.

$s = \frac{\sigma}{8} = \frac{29}{8} = 3.625$

Find the probability that it is overloaded because they have a mean weight greater than 162 lb, so $X = 162$

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

$Z = \frac{162 - 170}{3.625}$

$Z = -2.21$

$Z = -2.21$ has a pvalue 0.0174.

So, there is a 1-0.0174 = 0.9826 = 98.26% probability that it is overloaded.

Any probability that is above 95% is considerer unusually high. So, this elevator does not appear to be safe, since there is a 98.26% probability that it is overloaded.

8 0

3 years ago

A runner completed a 26.2-mile marathon in 210 minutes. a. Estimate the unit rate, in miles per minute. Round your answer to the

ivanzaharov [21]

Answer:

Unit rate by which the runner completed the marathon is 0.13 miles per minute.

Step-by-step explanation:

A runner competed a marathon of 26.2 miles in 210 minutes.

we can get unit rate by unitary method.

∵ In 210 minutes a runner completes the distance = 26.2 miles

∴ In 1 minute runner will complete the distance = $\frac{26.2}{210}$

= 0.125 miles per minute

≈ 0.13 miles per minute

Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.

6 0

3 years ago

Find the value of this pronumeral

Rina8888 [55]

<u>Answer</u>:

x = 70 ;

y = 50 .
_____________________________________________________
Explanation:
_____________________________________________________
y = 50 ; since vertical angles are congruent.

180 – (50 + 60) = x ; since all angles in any triangle add up to 180 degrees.

↔ x = 180 – (50 + 60) = 180 – (110) = 70.
_____________________________________________________

3 0

3 years ago

Please help thank you

fiasKO [112]

Answer:

2 × n - 1 = x

Step-by-step explanation:

for example:

$2(4) - 1 = 7$

$2(5) - 1 = x \\ 10 - 1 = x \\ x = 9$

8 0

2 years ago

15-2x=3x<br>how do I find X<br>

Solnce55 [7]

Answer:

first you add the 2x and the 3x together then when you get your answer when you add them then you dived your answer and the 15 together

Step-by-step explanation:

hope this helps i didn't put the answers cause i didn't think you wanted them cause all you put was how do i find x

6 0

3 years ago