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2 years ago

How do you simply an expression

1 answer:

5 0

Let's say that $x+3=2x-1$
First, you want all of the variables on one side and the rest on the other;
$x+3=2x-1\\
3-(-1)=2x - x\\
3+1=x\\
x=4$

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Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand

Misha Larkins [42]

Answer:

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

Solution:

Given, Scores on a test are normally distributed with a mean of 81.2

And a standard deviation of 3.6.

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

$\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2$

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

$\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1$

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0

2 years ago

How to rename 71 thousand=

Travka [436]

You can do this: 71,000 or 71,000/1

3 0

2 years ago

4(5a-2b)-2(4a-5b) Expand the brackets and simplify the question

Nutka1998 [239]

Answer:

12a+2b

Step-by-step explanation:

1. Expand by distributing terms.

20a-8b-2(4a-5b)20a−8b−2(4a−5b)

2. Expand by distributing terms.

20a-8b-(8a-10b)20a−8b−(8a−10b)

3. Remove parentheses.

20a-8b-8a+10b20a−8b−8a+10b

4.Collect like terms.

(20a-8a)+(-8b+10b)(20a−8a)+(−8b+10b)

5. Simplify.

12a+2b12a+2b

6.Answer

12a+2b

6 0

2 years ago

Read 2 more answers

Who ever answers ths is 52 minutes will get brainlyeiest

Klio2033 [76]

Answer:

-6r+6

Step-by-step explanation:

Let us expand the expression:

8-(6r+2)=

8-6r-2=

6-6r

-6r+6

I hope this helps! :)

4 0

1 year ago

Read 2 more answers

A first number plus twice a second number is 55. Twice the first number plus the second totals 1313. Find the numbers.

Sphinxa [80]

The answer: x=857 and y=-401

Set up the two equations

X+2y=55
2x+y=1313

Solve the system of equations by elimination

2x+y=1313
-2x-4y=-110

Add each of the corresponding terms together

-3y=1203

Divide by -3

Y=-401

Plug y back into one of the original equations

X+2(-401)=55
X-802=55
X=857

4 0

2 years ago