Answer:
Question A: A
Question B: C
Question C: B
Step-by-step explanation:
Answer:
121.0021
Step-by-step explanation:
In order for the rectangle to have an area of 6 cm^2, Tomas could have drawn it with one of two side length possibilities. He could either have drawn a rectangle with a length of 6 and a width of 1, or a rectangle with a length of 3 and a width of 2.
To find perimeter, you just add up all side lengths together, so let's compare the two options to find out which one has a greater perimeter.
Let's try the first option first.
That would be 6 + 6 + 1 + 1, which is 14.
Let's try the other one.
3 + 3 + 2 + 2 = 10
The first option (width 1, length 6) would yield the greatest perimeter.
Hope that helped! =)
Answer:
It is provided that 10% of the men aged 55 to 64 have cholesterol level <u>270 mg/dl</u> or higher.
Step-by-step explanation:
Let <em>X</em> = blood cholesterol levels of men aged 55 to 64 years.
The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 222 mg/dl and standard deviation <em>σ</em> = 37 mg/dl.
It is provided that 10% of the men aged 55 to 64 have cholesterol level <em>x</em> mg/dl or higher.
Compute the value of <em>x</em> as follows:
![P(X\geq x)=0.10\\P(\frac{X-\mu}{\sigma}\geq \frac{x-222}{37})=0.10\\P(Z\geq z)=0.10\\1-P(Z](https://tex.z-dn.net/?f=P%28X%5Cgeq%20x%29%3D0.10%5C%5CP%28%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5Cgeq%20%5Cfrac%7Bx-222%7D%7B37%7D%29%3D0.10%5C%5CP%28Z%5Cgeq%20z%29%3D0.10%5C%5C1-P%28Z%3Cz%29%3D0.10%5C%5CP%28Z%3Cz%29%3D0.90)
Use the <em>z</em>-table to compute the value <em>z</em> for the probability 0.90.
The value of <em>z</em> is 1.29.
Compute the value of <em>x</em> as follows:
![z=\frac{x-\mu}{\sigma}\\1.29=\frac{x-222}{37} \\x=222+(1.29\times37)\\=269.73\approx270](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C1.29%3D%5Cfrac%7Bx-222%7D%7B37%7D%20%5C%5Cx%3D222%2B%281.29%5Ctimes37%29%5C%5C%3D269.73%5Capprox270)
Thus, 10% of the men aged 55 to 64 have cholesterol level 270 mg/dl or higher.
Answer:
8cm
Step-by-step explanation:
Using the properties of a square, we know that a square has 4 sides, which are all of the same lengths.
Perimeter simply means the sum of all the outer lengths, so all we need to do is 32 ÷ 4, which = 8.