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Dahasolnce [82]

3 years ago

14

Ben os travelling home to brimingham on the m1 and m42. both motorways have road works. He has a 50-50 chance of getting delay o

n the m42 and a 75% chance of being delayed on the M1.
what are the chances that he will not be delayed on his journey.

1 answer:

Contact [7]3 years ago

8 0

The answer is 1/8 or 12.5%

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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

2 years ago

At the annual dogs show chantel noticed that there were three more Scottie’s than schnauzers. She also realized that the number

galben [10]

<span>Let us start with the schnauzers, the easiest one to imagine. Let us assume that there were x number of schnauzers. Scottie's are 3 more than schnauzers. So their number is x+3 Wire haired terriers are 5 less than twice the number of schnauzers. So their number is 2x -5 (2x for twice the number of schnauzers) Now add all these numbers. That is x + x+3 + 2x-5 = 4x -2 The total number of dogs, 78, is given in the question Now we know that 4x -2 =78 4x = 78 +2 = 80 Therefore x = 80/4 = 20. So there were 20 schnauzers, 23 Scottieâ€™s and 35 wire haired terriers</span>

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B-140%7D%7B%5Csqrt%7B28%7D%20%7D" id="TexFormula1" title="\sqrt{\frac{-140}

Zanzabum

This is the answer

8 0

2 years ago

___ cosb =1/2 sin(a+b)+sin(a-b)?

vodomira [7]

Answer:

That would be sina.

Step-by-step explanation:

sin(a+b) = sinacosb + cosasinb

sin(a-b) = sinacosb - cosasinb

Adding we get sin(a+b) + sin(a-b) = 2sinaccosb

so sinacosb = 1/2sin(a+b) + sin(a-b)

8 0

3 years ago

Read 2 more answers

NEED HELP..... Select the polynomial that is a perfect square trinomial. 36x^2 − 4x + 16 16x^2 − 8x + 36 25x^2 + 9x + 4 4x^2 + 2

Iteru [2.4K]

<h3>Answer: Choice D. 4x^2 + 20x + 25</h3>

===============================================

Explanation:

Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2

So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.

Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.

-------------

(a+b)^2 = a^2+2ab+b^2

(2x+5)^2 = (2x)^2+2*2x*5+5^2

(2x+5)^2 = 4x^2 + 20x + 25

8 0

2 years ago

Read 2 more answers