6x+5x-8=-41 what property is this ?

A group of 500 transistors is known to contain one defective unit. What is the probability that a transistor selected at random

sergejj [24]

The answer is 1/500 because it will always be the probability of the event occurring/total events

3 0

3 years ago

Read 2 more answers

Help please it’s homework

Fudgin [204]

Answer:

10. 1/9

11. 1 1/6

12. 1/8

Step-by-step explanation:

10.

He spent 2/3 of 1/6 of the day.

In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.

2/3 * 1/6 = 2/18 = 1/9

He spent 1/9 of the day adding mulch.

11.

He spent 2/3 of 1 3/4 hours.

In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.

2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6

He spent 1 1/6 hours working on the project.

12.

She planted 1/6 of 3/4 of the area.

In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.

1/6 * 3/4 = 3/24 = 1/8

She planted carrots in 1/8 of the garden.

3 0

2 years ago

Suppose the weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams. The weights

user100 [1]

Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that $\mu = 85, \sigma = 8$

a. Find the probability a randomly chosen apple exceeds 100 g in weight.

This is 1 subtracted by the p-value of Z when X = 100. So

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

$Z = \frac{100 - 85}{8}$

$Z = 1.875$

$Z = 1.875$ has a p-value of 0.9697

1 - 0.9696 = 0.0304

0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b. What weight do 80% of the apples exceed?

This is the 100 - 80 = 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.

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

$-0.84 = \frac{X- 85}{8}$

$X - 85 = -0.84*8$

$X = 78.28$

The weight that 80% of the apples exceed is of 78.28g.

5 0

2 years ago

The prism shown has a volume of 3,024 cm3.

Arlecino [84]

Answer:

14cm

Step-by-step explanation:

To find volume, you need to multiply the height width and length together. So when you have one missing measurement, to find it, you need to do the same steps except for put a variable for the missing measurement. And continue to do the problem as you would. Here is how I solved it.

V=12x18xH

3024=216xH (216 is 12x18)

Then to find the missing side, do 3024/216 which equals 14.

7 0

3 years ago

Read 2 more answers

Calculate the distance between points (0,0) and (4, 6) on the coordinate plane.

abruzzese [7]

4 up and 6 right

i hope this helped

5 0

2 years ago