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RideAnS [48]
3 years ago
7

Kennedy lives in the middle of the city. Her friend Zoe lives 8 miles to the west and her friend Shiloh lives 6 miles to the sou

th. Approximately how far apart do Zoe and Shiloh live from each other?
Mathematics
2 answers:
Kamila [148]3 years ago
5 0

Answer:

i would say about 16 miles.

Katarina [22]3 years ago
4 0

Answer:

Step-by-step explanation:

Draw a picture. The lines between their houses forms a right triangle. Kennedy is at the 90°. The distance between Shiloh and Zoe is the hypotenuse of the triangle, so use the Pythagorean Theorem.

Distance² = 8² + 6² = 100

Distance = √100 = 10 miles

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Sick-leave time used by employees of a firm in a course of one month has approximately normal distribution, with a mean of 200 h
Usimov [2.4K]

Answer:

a)0.62% probability that total sick leave for next month will be less than 150 hours.

b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

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}

The Z-score measures how many standard deviations the measure 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.

In this problem, we have that:

\mu = 200, \sigma = \sqrt{400} = 20

a.Find the probability that total sick leave for next month will be less than 150 hours.

This probability is the pvalue of Z when X = 150. So:

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

Z = \frac{150 - 200}{20}

Z = -2.5

Z = -2.5 has a pvalue of 0.0062.

So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.

b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

This is the value of X when Z has a pvalue of 0.90. So Z = 1.28

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

1.28 = \frac{X - 200}{20}

X - 200 = 20*1.28

X = 225.6

225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

6 0
3 years ago
15. find the values of x and y
zloy xaker [14]

Answer:

y = 8

x = 21

Step-by-step explanation:

Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.

11x + 10 -61 = 180

Add 10 to negative 61.

11x - 51 = 180

Add 51 to both sides.

11x = 231

Divide 11 both sides

x = 21.

Now put x in the equations to solve.

This is for the small angle on the right side.

(21+10) = 31

This is for the big angle on the right side.

(10(21) - 61)

210 - 61 = 149.

Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.

31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.

18y + 5 = 149

Subtract 5 both sides.

18y = 144

y = 8.

3 0
3 years ago
£50 is worth €65 how many euros is £220 worth
Cloud [144]

Answer:

£220 is worth €247

4 0
3 years ago
What is the difference between math grade 8 and algebra 1?
Phoenix [80]
Algebra 1 is a high school course. You learn some of the same things but in algebra it's more complicated.
7 0
3 years ago
What is the area of this trapezoid?<br><br><br><br> Enter your answer in the box.<br><br> = cm²
VLD [36.1K]

A = 440

answer...

A

=

a

+

b

2

h

=

25

+

19

2

·

20

=

440

6 0
3 years ago
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