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Answer this question: -9x + 4 = 10x - 15

Lady_Fox [76]

Answer:

x=1

Step-by-step explanation:

19x=19, x=1

7 0

3 years ago

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Office occupancy in a city is an indication of the economic health of the region in which it is located. A random sample of offi

Pani-rosa [81]

Answer:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

Step-by-step explanation:

$p_1$ represent the real population proportion for 1

$\hat p_1 =\frac{22}{165}=0.13$ represent the estimated proportion for 1

$n_1=165$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =\frac{14}{140}=0.10$ represent the estimated proportion for 2

$n_2=140$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For the 99% confidence interval the significance is $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , and the critical value using the normal standard distribution.

$z_{\alpha/2}=2.58$

Replacing we got:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

8 0

3 years ago

Emily researched the average prices of desktop PCs worldwide since 2000. She could only find data from 2005 to 2010. She created

boyakko [2]

Answer: A linear relationship

Step-by-step explanation:

From the graph we can see as the number of years increasing the average price of a PC decreasing at a constant rate.

It is forming a straight line and its equation $y=-39+998$ is similar to equation of line $y=mx+c$ , where m= -39 which is the rate of change of average price.

Hence, the relationship between the average price of PCs and the number of years that have passed since 2000 is a linear relationship.

6 0

4 years ago

Hi, could someone please help me with this Math problem, Thank you.

Naddik [55]

<h3>Explanation:</h3>

18. The 5 only needs to be "distributed" to terms that are inside the parentheses where 5 is on the outside. Here, the only term in the parentheses is 2x. Anne apparently also multiplied -3 by 5, erroneously. The -3 term is not inside the parentheses, so should be left alone when "distributing" the 5.

The left side of the equation simplifies to 10x -3, so Anne should have had ...

10x -3 = 20x +15

-18 = 10x . . . . . . . . . add -15-10x

-1.8 = x . . . . . . . . . . divide by 10.

The solution is x = -1.8.

___

19. Procedure: Subtract the right side of the equation from both sides. Use the distributive property as many times as necessary to eliminate parentheses. Collect terms. Divide by the coefficient of x. Subtract the constant.

5[3(x+4) -2(1 -x)] -x -15 = 14x +45 . . . . . . . original equation

5[3(x+4) -2(1 -x)] -x -15 -14x -45 = 0 . . . . . right side subtracted

5[3x+12 -2 +2x] -x -15 -14x -45 = 0 . . . . . . inner parentheses eliminated

15x +60 -10 +10x -x -15 -14x -45 = 0 . . . . . outer parentheses eliminated

(15 +10 -1 -14)x +(60 -10 -15 -45) = 0 . . . . . like terms associated

10x -10 = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . simplified

x - 1 = 0 . . . . . . . . . divide by the coefficient of x

x = 1 . . . . . . . . . . . . subtract -1 (same as add 1)

The solution is x = 1.

5 0

3 years ago

The basketball rim is 10 feet (120 inches) off the ground. If Jason is 6'9" tall with his arms and fingers extended straight up

Anit [1.1K]

He must jump 3 ft 4 in hope i helped

4 0

3 years ago

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