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ryzh [129]
3 years ago
10

Can some help me with this question

Mathematics
1 answer:
Luden [163]3 years ago
7 0

To find the equation of this line in slope-intercept form (y = mx + b, where m is its slope and b is its y-intercept), we naturally need the slope and the y-intercept. We can see that the line intersects the y-axis at the point (0, 4) so our y-intercept is 4, and the line rises 4 along the y-axis for every 2 it runs along the x-axis, so its slope is 4/2 = 2. With this in mind, we can write the line's equation as

y = 2x + 4

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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
The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how
NikAS [45]

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

-36=-16t^2

-36 / -16 = 9/4

9/4=t^2

square root of 9/4 is 3/2 or 1.5

t=1.5

3 0
1 year ago
What is the simplified expression for 3 a squared + 9 a b + 5 minus 4 a squared minus 4 a b + 3?
Gemiola [76]

Answer:

-1ab^2 + 5b + 8

Step-by-step explanation:

3a^2+9ab+5-4a^2-4ab+3

3a^2-4ab^2=-1ab^2

9ab-4ab=5ab

5+3=8

-1ab^2+5ab+8

8 0
3 years ago
Read 2 more answers
Pleasee anwser fast!!
KIM [24]

Answer:

its 4 bv 1x4 is 4 4x4 is 16 and 16x4 is 64! goodluck!

6 0
2 years ago
Explain how to get the variable alone in each question k-13=29
nadya68 [22]

Add 13 to both sides, which leaves you with k=42.

7 0
3 years ago
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