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4 years ago

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A student who is 5 ft 6 in. tall measured shadows

1 answer:

irakobra [83]4 years ago

5 0

Answer:

lunar model

there really isnt anything to explain

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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes

kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$

Therefore, standard deviation of the entire trip is 4.47 minutes.

(c) Let us first find z score corresponding to 30 minutes. $z=\frac{x-\mu }{\sigma }=\frac{30-28}{4.47}=0.447$

We need to find the probability such that $P(x>30)=P(z>0.447)=0.67$

Therefore, the required probability is 0.67.

(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.

(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

$z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0$

$P(x>30)=P(z>0)=0.5$

Therefore, probability will be 0.50.

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3 years ago

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Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of so

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X: # of pairs of socks; y: # of blouses
Then $2.99x+$12.99y=$43.92.

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3 years ago

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Please add the numbers to the graph and show the work on a paper and post it please if you do not know the answer do not comment

tresset_1 [31]

Answer:

merry crisis

Step-by-step explanation:

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3 years ago

in this line of circles, the ratio of the red circles to blue circles is 1:3. how many more red circles would need to be added t

Tems11 [23]

Answer:

Step-by-step explanation:

If we assume that initially

Number of red counter is 1

Number of blue counter is 3

Now to make ratio reverse you need to add 8 more red counters so that ratio becomes

9:3=3:1

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3 years ago

A group of 2n people, consisting of n men and n women, are to be independently distributed among m rooms. Each woman chooses roo

vfiekz [6]

Step-by-step explanation:

Assume that

$X_i = \left \{ {{1, If , Ith, room, has,exactly, 1,man, and , 1,woman } \atop {0, othewise} \right.$

hence,

$x = x_1 + x_2+....+x_m$

now,

$E(x) = E(x_1+x_2+---+x_m)\\\\E(x)=E(x_1)+E(x_2)+---+E(x_m)$

attached below is the complete solution

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3 years ago