# A cardboard box without a lid is to have a volume of 4,000 cm3. Find the dimensions that minimize the amount of cardboard used. (Let x, y, and z be the dimensions of the cardboard box.)

## Related Questions

What is the value of x?

x =

x-4+3x+100=180....by angle sum property

4x=84

x=21

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5

Step-by-step explanation:

Step-by-step explanation:

You have to use PEMDAS

first p, parenthesis

12-2=10

then e exponenets 3^3=9

and finally d diviison /2

so 9(10) : 2

=90/2

=45

In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is 16° less thantimes the size of angle A.
Find the size of the angles.

A=28°;B=140°C=12°

Step-by-step explanation:

I hope this helps

B and A

Step-by-step explanation:

Mark the person above me brainliest
(A question needs two answers so the asker can have the brainliest option)
Best of luck

In a study of plant safety, it was found that the time it took for machine operators to react to a warning light was normally distributed with a mean 1 second and standard deviation 0.3 second. Suppose a warning light visible to 4 operators goes on. What is the probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds?

4.75% probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

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:

What is the probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds?

This is 1 subtracted by the pvalue of Z when X = 1.25. So

has a pvalue of 0.9525.

So there is a 1-0.9525 = 0.0475 = 4.75% probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds.

Write the equation of each line in slope-intercept form.

y = -1/2x + 1/2

Step-by-step explanation:

Step 1: Write in known variables

y = -1/2x + b

Step 2: Find b

2 = -1/2(-3) + b

2 = 3/2 + b

b = 1/2

Step 3: Rewrite equation

y = -1/2x + 1/2