Answer:
46x^2 + 73x + 15
Step-by-step explanation:
Expand both equations
Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35
Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20
Minus them.
Wall - Mural =
(48x^2 + 86x + 35) - (2x^2 + 13x + 20)
(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)
46x^2 + 73x + 15
Answer: 30 percent of people who do not brush theit teeth every night.
Step-by-step explanation:
Given : 7 out of 10 people brush their teeth every night.
That means 3 out of 10 people do not brush their teeth every night. (7-10=3)
Now, the percent of people who do not brush their teeth every night = ![\dfrac{\text{Number of people do not brush their teeth}}{\text{Total people}}\times100\%](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BNumber%20of%20people%20do%20not%20brush%20their%20teeth%7D%7D%7B%5Ctext%7BTotal%20people%7D%7D%5Ctimes100%5C%25)
![=\dfrac{3}{10}\times100\%\\\\=30\%](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B3%7D%7B10%7D%5Ctimes100%5C%25%5C%5C%5C%5C%3D30%5C%25)
Hence, 30 percent of people who do not brush theit teeth every night.
Answer:
where are they in a graph?
The area below the mean compares to the area above the mean in a normal distribution as the areas are always equal regardless of the mean. Option A This is further explained below.
<h3>What is
a normal distribution?</h3>
Generally, The normal distribution, also known as the Gaussian distribution, is a kind of probability distribution that is symmetric around the mean. This means that it demonstrates that data that are closer to the mean are more likely to occur than data that are farther away from the mean. When represented graphically, the normal distribution takes the shape of a "bell curve."
In conclusion, In a normal distribution, the area below the mean is compared to the area above the mean since the areas are always equal regardless of the mean. This is true even if the mean is different.
Read more about normal distribution
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Complete Question
How does the area below the mean compare to the area above the mean in a normal distribution?
A. the areas are always equal regardless of the mean
B. the areas are sometimes equal depending upon the standard deviation of the distribution
C. the area above the mean is larger since the values are larger as you move above the mean
D. the areas are sometimes equal depending upon the value of the mean
Answer:
The total number of trout in the lake is 760.
Step-by-step explanation:
We are given that Raglan's Trout Sanctuary catch a sample of 95 trout and tag them. They then release these trout.
The next day they catch another sample of 64 trout and find 8 of these trout had been tagged the previous day.
Let the total number of trout in the lake be 'N'.
Number of trout caught and tagged = 95
Number of trout caught on next day = 64
Number of trout that were tagged the previous day = 8
This situation can be represented through the following ratio;
![\frac{\text{N}}{95} = \frac{64}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BN%7D%7D%7B95%7D%20%3D%20%5Cfrac%7B64%7D%7B8%7D)
![\frac{\text{N}}{95} = 8](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BN%7D%7D%7B95%7D%20%3D%208)
= 760
Hence, the total number of trout in the lake is 760.