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3 years ago

Please help solve for x

Mathematics

1 answer:

Ludmilka [50]3 years ago

7 0

Answer:

8.49

Step-by-step explanation:

there is a little formula related to the famous formula of Pythagoras.

it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).

so, x is actuality the height of the triangle.

x = sqrt(3×24) = sqrt(72) = 8.49

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What is 38/6 times 1 1/2

eimsori [14]

Answer:

19 over 2

19/2

Hope this helps

Step-by-step explanation:

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4 years ago

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Product of 2 numbers increased by 9

tino4ka555 [31]

(X * y) + 9
Xy + 9
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3 years ago

You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each nig

brilliants [131]

Answer:

Confidence interval

$8.98-2.2\frac{1.29}{\sqrt{12}}=8.16$

$8.98+2.2\frac{1.29}{\sqrt{12}}=9.80$

And the margin of error would be:

$ME=2.2\frac{1.29}{\sqrt{12}}=0.819$

Step-by-step explanation:

For this case we have the followig dataset:

DATA: 8.2; 9.1; 7.7; 8.6; 6.9; 11.2; 10.1; 9.9; 8.9; 9.2; 7.5; 10.5

We can calculate the mean and the deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$\bar X= 8.98[/tex[tex]s = 1.29$

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=12-1=11$

The Confidence level is 0.95 or 95%, the value of significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value would be $t_{\alpha/2}=2.20$

Repplacing the info we got:

$8.98-2.2\frac{1.29}{\sqrt{12}}=8.16$

$8.98+2.2\frac{1.29}{\sqrt{12}}=9.80$ And the margin of error would be:

$ME=2.2\frac{1.29}{\sqrt{12}}=0.819$

7 0

3 years ago

This question is kind of confusing to me. Can I get some help?

swat32

Answer:

b. $\frac{1}{3}$

Step-by-step explanation:

The scale factor is the number by which one must multiply all sides in a triangle such that its sides are the same as another triangle. This only works in similar triangles (triangles where all of the angles between them are congruent or have the same measures).

8 0

3 years ago

The director of a radio broadcasting company wants to determine whether the mean length of commercials on his station is equal t

denpristay [2]

Answer:

The value of t test statistics is 4.518.

Step-by-step explanation:

We are given that director of a radio broadcasting company wants to determine whether the mean length of commercials on his station is equal to 24 seconds.

He samples 200 commercials, and finds that the average length of these commercials is 26.3 seconds, with a standard deviation of 7.2 seconds.

Let $\mu$ = mean length of commercials on his station.

So, Null Hypothesis, $H_0$ : $\mu$ = 24 seconds {means that the mean length of commercials on his station is equal to 24 seconds}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 24 seconds {means that the mean length of commercials on his station is different from 24 seconds}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average length of these commercials = 26.3 seconds

s = sample standard deviation = 7.2 seconds

n = sample of commercials = 200

So, test statistics = $\frac{26.3-24}{\frac{7.2}{\sqrt{200} } }$ ~ $t_1_9_9$

= 4.518

The value of t test statistics is 4.518.

3 0

3 years ago