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Alex777 [14]
2 years ago
8

If point e is the midpoint of segment ac and point d is the midpoint of segment bc, which expression represents the value of s?

Mathematics
1 answer:
hammer [34]2 years ago
5 0

Answer:

s = one half u

Step-by-step explanation:

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The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a st
Xelga [282]

Answer:

81.85% of the workers spend between 50 and 110 commuting to work

Step-by-step explanation:

We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.

We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)

W = \frac{X-μ}{σ} = \frac{X-70}{20}

The values of the cummulative distribution function of the standard normal, which we denote \phi , are tabulated. You can find those values in the attached file.

P(50 < X < 110) = P(\frac{50-70}{20} < \frac{X-70}{20} < \frac{110-70}{20}) = P(-1 < W < 2) = \\\phi(2) - \phi(-1)

Using the symmetry of the Normal density function, we have that \phi(-1) = 1-\phi(1) . Hece,

P(50 < X < 110) = \phi(2) - \phi(-1) = \phi(2) - (1-\phi(1)) = \phi(2) + \phi(1) - 1 =  \\0.9772+0.8413-1 = 0.8185

The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.

Download pdf
7 0
2 years ago
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students–65 boys and 95 girls–going on t
Ber [7]

I think the most likely representative sample had more girls than boys that were surveyed for it.

6 0
2 years ago
Read 2 more answers
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
serg [7]

Answer:

(4* 1) + (9 * 1/10) + (2 * 1/1000)

Step-by-step explanation:

Given the figure : 4.902

Writw the figure above in expanded form:

4.902

Using the place value indicators :

Unit___tenth___hundredth___thousandth

4______9_______0___________2

Unit:

4 × 1

After the decimal point :

Tenth :

9 × 1/10 =

Hundredth :

0 * 1/ 100

Thousandth:

2 * 1/1000

Hence :

(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)

4 0
2 years ago
Ivan and kate live 42 miles apart. ivan leaves his house at 8:00 a.m. and bikes towards kate's house at a constant speed of 12 m
valentinak56 [21]

Answer:

10:18am

Step-by-step explanation:

7 0
2 years ago
The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where
Ymorist [56]

Answer:

The linear function that models the population of bloater fish is y2 =  

✔ –92.57x + 1,052

.

The linear equation that determines when the two populations were equal is  

✔ –19.76x + 227 = –92.57x + 1052

.

The solution is x =  

✔ 11.33

years.

Step-by-step explanation:

5 0
2 years ago
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