Answer:
4 hours
Step-by-step explanation:
You already have 700 words typed out, which means you have 5500-700 = 4800 words left to type. If you are typing at a rate of 20 words per minute, you will need 4800/20 = 240 more minutes to finish typing your essay. That is 240/60 hours, or 4 hours.
All are 60 degrees because of equal lengths and equal angles
Since 180 ° in triangle means 180/3 =60
Hope this helps!
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:
Step-by-step explanation:
The first equation rearranges to y = 2-x.
The second rearranges to y=-3x-5.
So 2-x = -3x-5
2+2x=-5
2x=-7
x= - 7/2, meaning y=11/2.
Answer:
-2
Step-by-step explanation:
2(8) - 3(6)
16 -18 = -2