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elena-14-01-66 [18.8K]
3 years ago
9

The following pairs of equations are equivalent. Describe the operation that occurred in the second equation. 3+9=12 and 3+9-5=1

2-5​

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

A. Given the equation

3+9=12

Using the subtraction property of equality (subtracting 5 from both sides of equation), we'll get an equivalent equation

3+9-5=12-5

B. Given the equation

x-4=7

Using the addtion property of equality (adding 4 to both sides of equation), we'll get an equivalent equation

x-4+4=7+4

C. Given the equation

2(6)=12

Using the division property of equality (dividing  both sides of equation by 2), we'll get an equivalent equation

\dfrac{2(6)}{2}=\dfrac{12}{2}

D. Given the equation

\dfrac{x}{2}=5

Using the multiplication property of equality (multiplying  both sides of equation by 2), we'll get an equivalent equation

2\cdot \dfrac{x}{2}=2\cdot 5

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faltersainse [42]

Answer:

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the  scores on the LSAT of a population, and for this case we know the distribution for X is given by:

X \sim N(150.7,10.2)  

Where \mu=150.7 and \sigma=10.2

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.65   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.35 of the area on the left and 0.65 of the area on the right it's z=-0.385. On this case P(Z<-0.385)=0.35 and P(Z>-0.385)=0.65

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

Z=-0.385

And if we solve for a we got

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

5 0
2 years ago
Read 2 more answers
Erm I don't understand-
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Answer:

1. (7+3)/2

2. 6, 3

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4. 500, 4000

Step-by-step explanation:

1. We are adding 7 and 3 so use the plus sign, THEN we divide by 2

Because we are adding first, put parentheses  

(7+3)/2

2. Nearest whole means whole number (so basically no decimal)

5.823 --> 6 (because 8 is closer to 10 than 0)

3.147 --> 3 (because 1 is closer to 0)

3. 1/3+1/2

Find a common difference, which is 6

Multiply to get 6

1/3*2= 2/6

1/2*3=3/6

3+2=5/6 (when adding keep denominator the same)

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5*100= 500 centimeters

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