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aleksklad [387]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer:

x=71

Step-by-step explanation:

38+x+x=180

x+x=142

2x=142

x=71

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<span>8 + 18a - 2 + 6a
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4 years ago
Suppose we are making predictions of the dependent variable y for specific values of the independent variable x using a simple l
e-lub [12.9K]

Answer:

width (C.I) ∠ width (P.I)

Step-by-step explanation:

In statistics, a confidence interval (C.I) is known as an interval estimate which is computed using the observed data that might contain the actual value of an unknown parameter. The confidence level is commonly used for estimation before examining the actual data. On the other hand, the prediction interval (P.I) is a range of values that calculate the value of a new observation by considering the existing model developed using the actual data. Therefore, the true statement is:

width (C.I) ∠ width (P.I)

8 0
3 years ago
Solve for x the triangles are similar
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Answer:

x = 13

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{DC}{DU} = \frac{CB}{UT} , substitute values

\frac{11x-13}{60} = \frac{169}{78} ( cross- multiply )

78(11x - 13) = 10140 ( divide both sides by 78 )

11x - 13 = 130 ( add 13 to both sides )

11x = 143 ( divide both sides by 11 )

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3 0
3 years ago
Adimas found the mean of her 11 math test scores for the first semester. X = StartFraction (76 87 65 88 67 84 77 82 91 85 90) Ov
Reika [66]

To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.

The standard deviation is 8.4477 and the variance is 71.40.

Given to us

  • Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
  • Mean = 81

<h3>Standard Deviation</h3>

difference between each number and mean,

x_1 -\mu= 76-81 = -5\\&#10;x_2-\mu = 87-81 = 6\\&#10;x_3-\mu = 65-81 = -16\\&#10;x_4-\mu = 88 -81 = 7\\&#10;x_5-\mu = 67-81 = -14\\&#10;x_6 -\mu= 84-81 = 3\\&#10;x_7 -\mu= 77-81 = -4\\&#10;x_8 -\mu= 81-81 = 1\\&#10;x_9 -\mu= 91-81 = 10\\&#10;x_{10}-\mu=85-81 = 4\\&#10;x_{11} -\mu= 90-81 = 9

\sum(x-\mu)^2 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2+x_9^2+x_{10}^2+x_{11}^2

                 =  25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81

                 = 785

\rm{ Standard\ Deviation = \sqrt{\dfrac{\sum{(X-\mu)^2}} {n}

                             \sigma= \sqrt{\dfrac{785}{11}}\\\\&#10;\sigma = 8.4477

<h3>Variance</h3>

Variance = \sigma ^2

              = 71.40

Hence, the standard deviation is 8.4477 and the variance is 71.40.

Learn more about Standard Deviation:

brainly.com/question/12402189

3 0
3 years ago
(a) A fire station is to be located along a road of length A, A&lt;
Marrrta [24]

Answer:

Answer in picture attached

Step-by-step explanation:

6 0
3 years ago
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