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Charra [1.4K]
2 years ago
6

A rectangular box has dimensions 12 by 16 by 21, as shown here:

Mathematics
1 answer:
professor190 [17]2 years ago
3 0

Answer: 29

Step-by-step explanation:

d = √(l2 + w2 + h2)

d = √(12^2+ 16^2+ 21^2) = 29

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il63 [147K]
I believe this is how u do it

3 0
3 years ago
9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days
andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score

Given that:

\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

7 0
3 years ago
How do you describe the Steps to a written equation in to point slope form of the line that passes through the points (3,-2) and
AfilCa [17]
<span>Find the equation of the line that passes through the points (3,-2) and (4,5).</span>

5-(-2)=7/ 4-3=1

So the slope is 7. Now plugin 7 for "m" and use one of the two points for x and y

5=7(4)*b

​​5=28*b

5-28=b

-23=b

So y=7x-23

7 0
3 years ago
Given that the radius of circle O has a slope of 2.5. What is the slope of the line tangent to circle O at point A?
GuDViN [60]
The problem ask to calculate the slope of the line tangent to a circle O at point A if the radius of the circle is 2.5. So based on the problem the tangent line formed a right angle so it means that the slope is also 2.5 and the answer is letter B. 2.5
3 0
3 years ago
This is number 8. And I need help.
ANEK [815]
It would be the first one because it says that there are 4 times as many red roses as pink roses and so that would be represented r=4p

Hope this helps! Good luck!
6 0
3 years ago
Read 2 more answers
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