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GenaCL600 [577]
3 years ago
15

The graph shows a probability distribution. P(X≤a)=0.5 What is the value of a?

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0

Answer:

a=2

Step-by-step explanation:

We have been given an image of a normal distribution. We are asked to find the value of a for P(X\leq a)=0.5.

We need to find the value of X such that area under that value is less than or equal to 0.5.

We know that entire area under a normal curve is 1. Since the area under the required value is 0.5, which is half of the 1, so we need to find the center of our given distribution.

Upon looking at our given distribution, we can see that its center is at 2.

Since P(X\leq 2)=0.5, therefore, the value of a is 2.  

gladu [14]3 years ago
4 0
The answer to the question is 2.
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Bond [772]

Given the system of equations:

\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

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Step 2: Substitute the expression found for x in the first equation.

\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}

Then, divide both sides by 15.

\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

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Answer:

x = -9

y = 5

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1 year ago
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Step-by-step explanation:

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maria [59]
<h2>Answer:</h2>

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<h2>Step-by-step explanation:</h2>

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