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3 years ago

Which equation below can be used to determine the value of x?

Mathematics

2 answers:

Alla [95]3 years ago

7 0

Answer:

B. 44+x=180

Step-by-step explanation:

A Triangle's Interior Angles are equal to 180

29+15+x=180

44+x=180

x=180-44

x=136

myrzilka [38]3 years ago

5 0

Answer:

b. 44+x=180

Step-by-step explanation:

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Give ur answer in standard form. <br>3 x 10^4 ÷6 x 10^-4<br>

Anni [7]

Answer:

5.0×10⁷

Step-by-step explanation:

(3÷6)×(10⁴÷10^-4)

(0.5)×(10⁸)

5.0×10^-1×10⁸

5.0×10⁷

7 0

2 years ago

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Estimate the unit rate to the nearest hundredth.<br><br> The unit rate is about $_per fluid ounce.

statuscvo [17]

Answer:

The unit rate is about $12per fluid ounce

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2 years ago

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The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo

Aloiza [94]

Answer:

$a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716]$

Step-by-step explanation:

a. -Given that:

$n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64$

#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:

$\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03$

Hence, the pointer is estimator 67.03

b. The standard error of the point estimator, $\bar x_m-\bar x_f$ is calculated by the following following:

$\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

-And the margin of error, E at a 99% confidence can be calculated as:

$E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416$

Hence, the margin of error is 15.7416

c. The estimator confidence interval is calculated using the following formula:

$\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

#We substitute to solve for the confidence interval using the standard deviation and sample size values in a above:

$CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716]$

Hence, the 99% confidence interval is [51.2884,82.7716]

7 0

3 years ago

Find the slope of the line passing through the points (1,-5) and (4,1).

e-lub [12.9K]

<h3>Answer:</h3><h3>The equation for the slope of a line, given two coordinate points, (x1,y1) , (x2,y2), is (y2-y1)/(x2-x1) </h3><h3> So we get slope = (1-(-5)) / (4-1) = 6/3 = 2</h3><h3>A is your correct answer.</h3>

Hope this helps! please consider marking my answer the brainliest :)

4 0

3 years ago

7 − 9x − (x + 12) less than or equal to 25?

Nonamiya [84]

Answer:

x ≥-3

Step-by-step explanation:

7 − 9x − (x + 12) less than or equal to 25

7 − 9x − (x + 12) ≤ 25

Distribute the minus sign

7 − 9x − x - 12 ≤ 25

Combine like terms

− 10x −5 ≤ 25

Add 5 to each side

− 10x −5+5 ≤ 25+5

− 10x ≤ 30

Divide by -10. Remember that this flips the inequality

− 10x/-10 ≥30/-10

x ≥-3

6 0

3 years ago