Answer:
39°
Step-by-step explanation:
51° +? = 90°
? = 90° - 51°
? = 39°
Hope it helps you in your learning process.
Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.
In a <em>normal distribution</em> with mean
and standard deviation
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- The mean is of 90 grams, hence
.
- The standard deviation is of 1 gram, hence
.
We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:



The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.
- Looking at the z-table, Z = -3 has a p-value of 0.0013.
2 x 0.0013 = 0.0026
0.0026 x 100% = 0.26%
0.26% of the items will either weigh less than 87 grams or more than 93 grams.
For more on the normal distribution, you can check brainly.com/question/24663213
Answer:
3 feet
Step-by-step explanation:
half his height
Answer:

Step-by-step explanation:
We have an equation, and the question is asking for us to solve y. So to solve, we have to isolate y.
6x - 4y = 12
Subtract 6x from both sides :
-4y = 12 - 6x
Divide both sides by -4 :

Answer:
50
Step-by-step explanation:
a pentagon has a total of 540 degrees
105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)
540= 105+115+110+(180-2x)+(180-3x)
540=330 +(180-2x)+(180-3x)
210=360-5x
-150=-5x
50=x