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DochEvi [55]
3 years ago
12

Please help me on this and show me the steps to the answer.

Mathematics
1 answer:
Julli [10]3 years ago
5 0
I guess you want to calculate the value of e. If so then:

-8.e = 4 . Divide both sides by 4:

-2.e = 1. Divide both sides by 2:
-e = 1/2. Multiply both sides with (-):

e = - 1/2


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Find area, round to nearest tenth
Gnom [1K]

Answer:

  160 in²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . base length b, height h

Here, the triangle has a base length of 32 in, and a height of 10 in. Its area is ...

  A = 1/2(32 in)(10 in) = 160 in²

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2 years ago
The apothem is 3V3 units because it is
Reika [66]

Answer:

Opposite the 60-degree angle.

Step-by-step explanation:

5 0
3 years ago
Using the given information, give the vertex form equation for each parabola.
ollegr [7]

Answer:

Step-by-step explanation:

If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex.  Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards).  The formula for this type of a parabola is, in vertex form,

4p(y-k)=(x-h)^2

where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex.  For us, p = .25, h = 7, and k = -6.  Filling in our formula:

4(.25)(y+6)=(x-7)^2

Simplify the left side to

1(y+6)=(x-7)^2 which simplifies, in its entirety, to

(x-7)^2-6=y

3 0
3 years ago
In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the
oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation(which is the square root of the variance) \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

\mu = 503, \sigma = \sqrt{9604} = 98

So

Z = \frac{X - \mu}{\sigma}

1.476 = \frac{X - 503}{98}

X - 503 = 1.476*98

X = 648

Abby's score

She scored 648.

\mu = 521 \sigma = \sqrt{10201} = 101

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{648 - 521}{101}

Z = 1.26

Z = 1.26 has a pvalue of 0.8962.

The percentle for Abby's score was the 89.62nd percentile.

3 0
3 years ago
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