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3 years ago

Plz help me step by step

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

Answer:

x = - 6

Step-by-step explanation:

Equation

1/3 * (-9x +12) = 22 Multiply both sides by 3

Solution

3 * 1/3(-9x + 12) = 22*3

- 9x + 12 = 66 Subtract 12 from both sides.

-9x = 66 - 12 Combine

-9x = 54 Divide by -9

x = 54/-9

x = - 6

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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th

monitta

Answer:

a) n =1623

b) $ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken

$\hat p=0.19$ estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by $\alpha=1-0.96=0.04$ and $\alpha/2 =0.02$ . And the critical value would be given by:

$z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912$

And rounded up we have that n=1623

Part b

The margin of error is given by:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

So then if w replace the value of n obtained from part a we got:

$ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

3 0

3 years ago

HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?

Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = $\frac{1}{2}(\pi r^2h)$

= $(\frac{1}{2})(\pi )(17-11)^2(6)$

= 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

= 11 × 6 × 12

= 792 cubic inches

Volume of the solid figure = 339.29 + 792

= 1131.29

≈ 1131 cubic inches

8 0

3 years ago

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-

Lelu [443]

Answer:

The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.

Step-by-step explanation:

It is given that x-intercept is 1 and y-intercept is -2.

Now, the coordinate of the point is (1,0) and (0,-2).

We know that,

Slope = $\dfrac{y_2-y_1}{x_2-x_1}$

$S_1=\dfrac{-2-0}{0-1}$

$S_1 = \dfrac{-2}{-1}$

$S_1=2$

Now, Slope of the graph given

Co-ordinate is (-5,0) and (1,2).

Using the formula of slope

$S_2 = \dfrac{2-0}{1-(-1)}$

$S_2 = \dfrac{2}{1+1}$

$S_2 = \dfrac{2}{2}$

$S_2 =1$

Now, $S_1>S_2$

Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.

7 0

3 years ago

samantha owes her father $7. She just got paid $5.50 for babysitting. If she gives that money to her dad, how much will she stil

egoroff_w [7]

Samantha owes father $1.50

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3 years ago

Read 2 more answers

What is the solution to the compound inequality? –6 ≤ 2x + 6 ≤ 6

maw [93]

∈ ≤ ≥

-6 ≤ 2x + 6 ≤ 6 ( seperate the two inequalities)

2x + 6 ≥ - 6

2x + 6 ≤ 6 (solve the inequalities)

x ≥ -6

x ≤ 0 (find the intersection)

solution is : x ∈ { -6, 0 }

7 0

3 years ago