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Olenka [21]
3 years ago
14

Solve equation for the indicated variable U=5a, for a

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

I just did this is my math! ;)

U = 5a

U / 5 = 5a / 5

U / 5 = a

Hope this helps! If so, please mark brainliest!

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A random variable x follows a normal distribution with mean d and standard deviation o=2. It is known that x is less than 5 abou
Vaselesa [24]

Answer:

The mean of this distribution is approximately 3.96.

Step-by-step explanation:

Here's how to solve this problem using a normal distribution table.

Let z be the

\displaystyle z = \frac{x - \mu}{\sigma}.

In this question, x = 5 and \sigma = 2. The equation becomes

\displaystyle z = \frac{5 - \mu}{2}.

To solve for \mu, the mean of this distribution, the only thing that needs to be found is the value of z. Since

The problem stated that P(X \le 5) = 69.85\% = 0.6985. Hence, P(Z \le z) = 0.6985.

The problem is that the normal distribution tables list only the value of P(0 \le Z \le z) for z \ge 0. To estimate  z from P(Z \le z) = 0.6985, it would be necessary to find the appropriate

Since P(Z \le z) = 0.6985 and is greater than P(Z \le 0) = 0.50, z > 0. As a result, P(Z \le z) can be written as the sum of P(Z < 0) and P(0 \le Z \le z). Besides, P(Z < 0) = P(Z \le 0) = 0.50. As a result:

\begin{aligned}&P(Z \le z)\\ &= P(Z < 0) + P(0 \le Z \le z) \\ &= 0.50 + P(0 \le Z \le z)\end{aligned}.

Therefore:

\begin{aligned}&P(0 \le Z \le z) \\ &= P(Z \le z) - 0.50 \\&= 0.6985 - 0.50 \\&=0.1985 \end{aligned}.

Lookup 0.1985 on a normal distribution table. The corresponding z-score is 0.52. (In other words, P(0 \le Z \le 0.52) = 0.1985.)

Given that

  • z = 0.52,
  • x =5, and
  • \sigma = 2,

Solve the equation \displaystyle z = \frac{x - \mu}{\sigma} for the mean, \mu:

\displaystyle 0.52 = \frac{5 - \mu}{2}.

\mu = 5 - 2 \times 0.52 = 3.96.

3 0
3 years ago
Ch. 6 Challenge
Tju [1.3M]
36= 12.5% because 25%+62.5%= 87.5%

So 100%-87.5%=12.5%

87.5%-12.5%= 75%

36+36=72=25%

72+72+72+72= 288 = 100%

So the total number of pages in the magazine is 288
7 0
3 years ago
Hank estimated the width of the door to his class room in feet what is a reasonable estimate
timurjin [86]
My reasonable estimate might be about 2 1/2 feet. I know that because taking three rulers up to your bedroom or a normal room and get about 2 or 2 1/2 feet
4 0
3 years ago
Can someone please help me with math.
ira [324]

Answer:

A. B.

Step-by-step explanation:

6 0
3 years ago
Write the equation for a line that passes through (4,-1) and has a slope of 5
Anit [1.1K]

Answer:

y = 5x - 21

Step-by-step explanation:

Since we already know the slope, all we need to do is plug the values of x and y into the equation.

y = 5x + b

-1 = 5(4) + b

-1 = 20 + b

-21 = b

The equation is y = 5x - 21.

5 0
3 years ago
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