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Ksivusya [100]
4 years ago
13

I would like to know the answer for this question

Mathematics
1 answer:
g100num [7]4 years ago
3 0
To put words into equations:
x+y+z =50
x=4y
4y=5z -> z= 4/5 y


Which means
4y+y+ 4/5 y= 50
29/5 y =50
29y=250
Y=29/250
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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are 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 = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
Simplify and write the trig expression in terms of sin and cos
dsp73

We have:

cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}

We clear f(x):

f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}

we simply what we can:

f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)

Thus, the correct answer is;

f(x)=sin(x)

6 0
1 year ago
PLEASE HELP!! WILL MARK BRAINLIEST!
Tasya [4]

Answer:

i think its gay

Step-by-step explanation:

5 0
3 years ago
A student’s height is 145cm. He goes to a pond where the average water depth is 110cm. Does this student have a risk in the pond
Elodia [21]
Yes, because 145-110=35
3 0
3 years ago
A number d minus is less than -1
katrin [286]

\boxed{d-4

<h2>Explanation:</h2>

Hello! Recall you need to write complete questions in order to find exact answers. So in this problem I'll assume the question is:

<em>A number d minus 4 is less than -1</em>

<em />

So it is easy to know that we need to write an inequality here because of the words "less than", which implies that we must use the symbol <. So let's solve this step by step.

Step 1. A number d minus 4.

This statement includes the word "minus", so we need to use the symbol (-). Therefore:

d-4

Step 2. A number d minus 4 is less than

As we said above, here we need to use the symbol (<). So:

d-4

Step 3. A number d minus 4 is less than -1

Finally, we get:

d-4

<h2>Learn more:</h2>

Inequalities: brainly.com/question/9611462

#LearnWithBrainly

3 0
3 years ago
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