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GalinKa [24]
3 years ago
13

The expression -5p + 20 factored is factor out the coefficient of the variable

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer: -5(p-4)

Step-by-step explanation: The coefficient of a variable is the number multiplying it. To factor it, take the coefficient out and put it outside the parantheses. However, if you do that, make sure you take that coefficient out of all of your other terms!

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The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0
3 years ago
Would he earn more money with simple interest or with compound interest
zaharov [31]

Answer:

The more often your interest compounds, the more interest you'll earn on your investment. It's easy to see that money grows more quickly when it's earning compound interest than when it's earning simple interest

Step-by-step explanation:

6 0
3 years ago
The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
neonofarm [45]

Area of three rectangles

  • 3LB
  • 3(8)(6)
  • 24(6)
  • 144units²

Area of two triangles

  • 1/2(6)(4)
  • 3(4)
  • 12units²

Total

  • 144+12
  • 156units²
5 0
2 years ago
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
VladimirAG [237]

Answer:

The answer should be 3 :)

Step-by-step explanation:

Pick a point on f(x) and count up until you hit the g(x) point :)

When i did this, i got 3 :)

Have an amazing day!!

Please rate and mark brainliest!!

8 0
2 years ago
The sum of three numbers is 12. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is
Ede4ka [16]
A suitable calculator can row-reduce the augmented matrix.

first number: 3
second number: 1
third number: 8

5 0
3 years ago
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