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aniked [119]
3 years ago
12

Explain how to find the fact.

Mathematics
1 answer:
gladu [14]3 years ago
5 0
What do you mean Facts
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The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0
dedylja [7]

Answer:  a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987

Hence, a) 0.8413, b) 0.9987.

4 0
3 years ago
The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete
Black_prince [1.1K]

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

5 0
3 years ago
ILL MARK BRAINIEST IF YOU CAN DO ALL OF THESE!!!<br> ANSWER TO GET BRAINIEST!!!
Dafna1 [17]

Answer:

9. 210

11. 136.64

10. 282.4

12. 88.56

Step-by-step explanation:

sorry if 9,10,11,12 i answering

6 0
3 years ago
How many solutions does this linear system have?
DochEvi [55]
I hope this helps you


6x-4 (x+2)= -10x


6x-4x-8= -10


2x= 2


x= 1


y=1+2=3
4 0
3 years ago
Read 2 more answers
Right triangle ABC has side lengths AB = 4x+28, BC = 2x+13, AC = 3x-15. Assuming C is the right angle, for which value of x is t
barxatty [35]

Answer:

D

Step-by-step explanation:

Because the other just make no sense

6 0
3 years ago
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