<span>✡ Answer: 9000 </span><span>✡
- - Solve:
If your 3 numbers to the right (in this problem its 3) are 499 or less, you round down, if its 500 or up, you round up.
In this case, round up.
- - Solve furthermore:
9000
</span>
✡Hope this helps<span>✡</span>
Answer:
<h2>x = 0</h2>
Step-by-step explanation:
5x - 15 = 5(-4x - 3)
Multiply the terms in the bracket
5x - 15 = - 20x - 15
Group like terms
Send the constants to the right side of the line and those with variables to the left side
That's
5x + 20x = - 15 + 15
Simplify
25x = 0
Divide both sides by 25
We have the final answer as
<h3>x = 0</h3>
Hope this helps you
9514 1404 393
Answer:
D
Step-by-step explanation:
Regrouping the factors, we have ...
Answer:
There is an 84% probability that your standard refrigerator will last between 12 and 20 years.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
A standard refrigerator's mean life expectancy is 18 years with a standard deviation of 2 years. This means that
.
What is the probability that your standard refrigerator will last between 12 and 20 years?
This probability is the pvalue of Z when
subtracted by the pvalue of Z when
. So
X = 20
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{20 - 18}{2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B20%20-%2018%7D%7B2%7D)
![Z = 1](https://tex.z-dn.net/?f=Z%20%3D%201)
has a pvalue of 0.8413
X = 12
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{12- 18}{2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B12-%2018%7D%7B2%7D)
![Z = -3](https://tex.z-dn.net/?f=Z%20%3D%20-3)
has a pvalue of 0.0014
This means that there is a 0.8413-0.0014 = 0.8399 = 0.84 = 84% probability that your standard refrigerator will last between 12 and 20 years.
Answer:
11 7/12 pounds
Step-by-step explanation:
1.
2.
3.
4.
5.
Therefore, Ms. Viera bought 11 7/12 pounds of fruit.