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vekshin1
3 years ago
9

Find the two Z-scores that separate the middle 73.72% on the Standard Normal Curve.

Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer:

+1.12 and -1.12

Step-by-step explanation:

Let the two z scores be -z_1and+z_1.

Since  the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:

P(-z_1

From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.

The two z scores are +1.12 and -1.12 = ± 1.12

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You are asked to use the volume formula V = lwh which basically means to find the volume by multiplying the length, width and height of the prism. These are all given to you as expression so you are asked to multiply the expressions. That is, find: ( \frac{ x^{2} -x}{4x+1} )( \frac{2x-5}{1} )( \frac{24 x^{2} +6x}{x-1} )

First factor each of the expressions in the numerators and then multiply those in the numerators putting them over those in the denominator. It turns out those in the denominators (in this problem) cannot be factored. When you do this you are left with:
\frac{(x)(x-1)(2x-5)(6x)(4x+1)}{(4x+1)(x-1)}

You can divide out (sometimes called cancelling out) those terms expressions that are in both the numerator and the denominator. That leaves you with:
\frac{(x)(2x-5)(6x)} {1} which we can clean up by multiplying x and 6x in the numerator.

Thus, the volume of the prism is: 6 x^{2} (2x-5)
We do not multiply this out because it is now written as a product and thus factored (as you were asked).
7 0
3 years ago
Read 2 more answers
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction
Karolina [17]

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

6 0
3 years ago
In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is t
inessss [21]

Answer: |p-72% |≤ 4%

Step-by-step explanation:

Let p be the population proportion.

The absolute inequality about p using an absolute value inequality.:

|p-\hat{p}| \leq E , where E = margin of error, \hat{p} = sample proportion

Given:  A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .

|p-72% |≤ 4%

⇒    72% - 4% ≤ p ≤ 72% +4%

⇒  68%  ≤ p ≤  76%.

i.e. p is most likely to be between 68% and 76% (.

6 0
3 years ago
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​
deff fn [24]

Answer:answer is b

Step-by-step explanation: Just makes since

6 0
3 years ago
Determine the equation of the circle graphed below
Irina-Kira [14]

Answer:

(x-1)^2+(y-6)^2=16

Step-by-step explanation:

The equation of a circle is given by (x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle and r is the radius of the circle.

From the diagram, we can find the following:

  • the radius of the circle is 4
  • the center of the circle is located at (1,6)

Thus, we have:

(x-1)^2+(y-6)^2=4^2,\\\boxed{(x-1)^2+(y-6)^2=16}

8 0
3 years ago
Read 2 more answers
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