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quester [9]
3 years ago
14

Solve the equation. 6x - 3 (x+8) = 9

Mathematics
2 answers:
nadezda [96]3 years ago
5 0

Assignment: \bold{Solve \ Equation: \ 6x-3\left(x+8\right)=9}

<><><><><>

Answer: \boxed{\bold{x=11}}

<><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><>

[ Step One ] Expand \bold{-3\left(x+8\right)}

\bold{-3x-24}

[ Step Two ] Rewrite Equation

\bold{6x-3x-24=9}

[ Step Three ] Combine Similar Elements

\bold{6x-3x=3x}

[ Step Four ] Rewrite Equation

\bold{3x-24=9}

[ Step Five ] Add 24 To Both Sides

\bold{3x-24+24=9+24}

[ Step Six ] Simplify

\bold{3x=33}

[ Step Seven ] Divide Both Sides By 3

\bold{\frac{3x}{3}=\frac{33}{3}}

[ Step Eight ] Simplify

\bold{x=11}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

spin [16.1K]3 years ago
3 0

Answer:

x=11

Step-by-step explanation:

6x-3(x+8)=9

Using the distributive property, we can turn 6x-3(x+8)=9 into 6x-3x-24=9, which simplifies to 3x-24=9 by combining like terms. Now, if we add 24 to both sides, we get 3x=33. By dividing both sides by 3, we get x=11.

Check:

66-3*19=9

66-57 does in fact equal 9.

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A fisherman can tow upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed down
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3 years ago
A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
Musya8 [376]

Answer:

Check Explanation

Step-by-step explanation:

A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.

Mathematically,

H₀: μ₀ = 0.53

And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.

Mathematically,

Hₐ: μ₀ < 0.53

B) The two errors that can come up in this hypothesis testing include -

Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.

Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.

D) The standard error of the mean used in computing the t-score is given as

σₓ = (σ/√n)

It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.

Hope this Helps!!!

7 0
3 years ago
6^2r=800 round it to the nearest hundreth
kogti [31]

Question: solve for r: 6 ^ (2r) = 800


Answer: 1.87


Step-by-step explanation:

6 ^ (2r) = 800

log(6 ^ (2r)) = log(800)

2r log(6) = log(800)

r = log(800) / (2 log(6))

r = 1.86537641979

round

r = 1.87

log can be any logarithm function.


6^(2×1.86) = 784.734328546

6^(2×1.87) = 813.365367336


7 0
3 years ago
What is the answer 2y 5x=6
denis-greek [22]
Its simple take out the y and take out the x, you get 25=6!!!!!!!
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3 years ago
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