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Alinara [238K]
3 years ago
13

Pls help with all of them

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0
6h is the same thing as saying 6 times h. If we plug 6 in for h, we get 6x6=36. 6x6 does equal 36, so h = 6 is a solution to the problem.

If you plug in 60 for y, you get 60-45=15. 60-45 actually does equal 15, so both sides are equal and y=60 is a solution to the problem

If you plug in x=1/4, you get 1/4 + 1/2 = 3/4. 1/2 = 2/4, and 2/4 + 1/4 = 3/4 so x=1/4 is a solution to the problem

If you plug in w=2 for #5, you get 6x2=120. 6x2 equals 12, not 120, so w=2 is not a solution to the problem

If you plug in n=30 into #6, you get 30/3=12. 30/3 = 10, not 12, so n=30 is not a solution.

Hope this helps!
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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
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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
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