HELP I NEED HELP ASAP

A light bulb consumes 15300 watt-hours in 4 days and 6 hours . How many watt-hours does it consume per day?

Kay [80]

Answer:

3600 per 24 hour period or 1 day.

Step-by-step explanation:

24 x 15300/(4 x 24+6)=3600

5 0

3 years ago

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A clerical worker takes 2 times as long to finish a job as it does an executive secretary. Working together, it takes them 6 hr

malfutka [58]

Answer:

<h2>18 hours</h2>

Step-by-step explanation:

This problem is on Combined work rate

Step one:

given data

let the secretary take x hours to finish one job

so the clerical worker will take 2x hours to finish one job.

Both of them working together will take 6 hours

Step two:

The combined work formula is

T/A+T/B=1

Where T= time working together

A= time the Clerical worker spent alone

B= time the secretary spent alone

substituting we have

6/2x+6/x=1

solve for x

6+12/2x=1

18/2x=1

9/x=1

cross multiply

x=9 hours

the clerical worker take 2x hours

2*9= 18 hours

3 0

3 years ago

School starts at 8:55. one day katie was a quarter of an hour late. what time did she arrive

andreyandreev [35.5K]

Answer: 9:10

Step-by-step explanation:

15 minutes is a quarter of an hour. Add that to the time school starts and it gives you 9:10. Let me know if you have any questions and I'll try my best to help. :)

7 0

4 years ago

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M5_A3. The expected project completion time for the construction of a pressure vessel is 18 monthsand the project variance is 7.

snow_tiger [21]

Answer:

a) 0.3520

b) 0.9884

c) 0.1292

d) 0.1292

e) 0.7648

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.

In this problem, we have that:

The expected project completion time for the construction of a pressure vessel is 18 months. So $\mu = 18$ .

And the project variance is 7. The standard deviation is the square root of the variance, so $\sigma = \sqrt{7}$ .

a) What is the probability that the project will require at least 19 months?

The pvalue of the zscore of $X = 19$ is the probability that the project will require less than 19 months. So the probability that the project will require at least 19 months is the subtraction of 1 by this pvalue.

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

$Z = \frac{19 - 18}{\sqrt{7}}$

$Z = 0.38$

The pvalue of Z = 0.38 is 0.6480.

So the probability that the project will require at least 19 months is 1 - 0.6480 = 0.3520.

b) What is the probability that the project will be completed within 24 months?

This is the pvalue of the zscore of X = 24.

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

$Z = \frac{24 - 18}{\sqrt{7}}$

$Z = 2.27$

The pvalue of Z = 2.27 is .9884. This means that the probability that the project will be completed within 24 months is .9884.

c) What is the probability that the project will require at least 21 months?

Same logic as a). We find the pvalue of the zscore of X = 21, then we subtract 1 by this value.

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

$Z = \frac{21 - 18}{\sqrt{7}}$

$Z = 1.13$

The pvalue of Z = 1.13 is 0.8708.

So the probability that the project will require at least 21 months is 1 - 0.8708 = 0.1292.

d) What is the probability that the project will be completed within 15 months?

Same logic as b). This is the pvalue of the zscore of X = 15.

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

$Z = \frac{15 - 18}{\sqrt{7}}$

$Z = -1.13$

The pvalue of Z = -1.13 is .1292. This means that the probability that the project will be completed within 15 months is .1292.

e) What is the probability that the project will take between 16 and 24 months to complete?

This is the pvalue of Z = 24 subtract by the pvalue of Z = 16.

In b), we found that the pvalue of Z = 24 is .9884

Now we find the pvalue of Z = 16

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

$Z = \frac{16 - 18}{\sqrt{7}}$

$Z = -0.76$

The pvalue of Z = -0.76 is 0.2236

So the probability that the project will take between 16 and 24 months to complete is 0.9884 - 0.2236 = 0.7648

8 0

4 years ago

#6: Tell whether the function below is 1 point<br> linear or exponential.<br> *<br> f(x) = -1/4x + 5

Pachacha [2.7K]

Answer:

Linear function

Step-by-step explanation:

Given

$f(x) = -\frac{1}{4}x + 5$

Required

Linear or Exponential

A linear equation has the form: $f(x) = mx + c$ ;

An exponential has the form: $f(x) = ab^x$

By comparing both functions to: $f(x) = -\frac{1}{4}x + 5$

The linear function is similar to $f(x) = -\frac{1}{4}x + 5$

<em>Hence, the given function is a linear function.</em>

8 0

3 years ago