Answer:
and 
Step-by-step explanation:
We have the following system of equations:
and 
To solve the problem, we need to equal the two equations:
⇒
⇒
⇒
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are
and
.
Then, the factorized form of the polynomial is:
.
The, the solution to the system of equations is:
and
.
L = 24f
l/24 = f
Hope this helps!
The answer is negative twelve -12
Hope this helps
Salutations!
<span>Round 287.9412 to the nearest tenth.
Lets solve this!
To round to the nearest tenth, you need to know the tenth place--------
In the number, 287.9412, nine is in the tenth place. You need also make sure whether the number next to 9 is greater than 5 or not.
</span><span>287.9412 =287.941=287.94=287.9=288=290
Thus, your answer is 290.
Hope I helped.
</span>
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