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ki77a [65]
3 years ago
10

20. Math and Science There are 6 pure

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

2/1 frptrhgqhgr4tjtfix jxcfh8u5t8ofszYI7wyt439tfy7efgy5g

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What number must you add to the polynomial below to complete the square?<br><br> x2 + 15x
Aleksandr-060686 [28]

Answer:

The number \frac{225}{4} is added to the polynomial below to complete the square.

Step-by-step explanation:

Perfect square binomial:

A perfect square binomial is given by:

(a + b)^2 = a^2 + 2ab + b^2

In this question:

We have that:

a^2 + 2ab + b^2 = x^2 + 15x + ?

Since a = x, we have that:

2ab = 15x

2b = 15

b = \frac{15}{2}

Completing the square:

The term that completes the square is b^2. So

b^2 = (\frac{15}{2})^2 = \frac{225}{4}

The number \frac{225}{4} is added to the polynomial below to complete the square.

4 0
3 years ago
The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s
storchak [24]

The value of z score for the history class test of Opal’s test score is negative one (-1).

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The z score for the normal distributed data can be given as,

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

The mean value of the scores of history class is,

\mu=79

The standard deviation value of the scores of history class is,

\sigma=7

Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

z=\dfrac{72-79}{7}\\z=-1

Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).

Learn more about the normally distributed data here;

brainly.com/question/6587992

6 0
3 years ago
he used a map of bus routes to get from the airport to his cousin's house. The distance from the airport to his cousin's house i
Anarel [89]
The scale factor for the problem is 14
7 0
3 years ago
One week, Alaina ran 12 miles in 131.25 minutes the next week Alaina ran 12 miles in 119.9 minutes
Mars2501 [29]
9.49 minutes faster.
6 0
4 years ago
In ΔWXY, the measure of ∠Y=90°, WY = 8, YX = 15, and XW = 17. What ratio represents the tangent of ∠X?
Annette [7]

Answer:

8/17

Step-by-step explanation:

5 0
3 years ago
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