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Katena32 [7]
2 years ago
8

Can YOU solve this?What is the solution to the following equation? 5(2x − 6) + 20 = 10

Mathematics
1 answer:
viva [34]2 years ago
7 0
5(2x-6) + 20 = 10
10x - 30 + 20 = 10
10x-10 = 10
OR 10x = 20
so x = 2
hope this helps
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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
2 years ago
What would be the equation and how can I solve it
Blababa [14]
If alonzo is x then the equation is

x + (x +3) + 2(x + 3) = 57

Which equals

x + x + 3 + 2x + 6 = 57
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This means alonzo is 12 years old and alexis is 3 years older so alexis is 15 years old

Answer = 15 years old
5 0
3 years ago
Read 2 more answers
9(x+2)= 5 - 2( x - 1 )
omeli [17]

We can use the distribution method for both sides:

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9x + 18 = 5 -2x + 2

Move like terms to one side and combine:

9x + 2x = 5+2-18.

11x = -11

x = -1.

5 0
3 years ago
Read 2 more answers
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