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3 years ago

Which value for x makes the sentence true? 12x-5 = 5x + 23 A. 6 B. 9 C. 4 D. -1

Mathematics

1 answer:

hammer [34]3 years ago

3 0

Answer:

Step-by-step explanation:

If you plug in 4 to the equation it looks like this:

48-5= 20+23. Subtract 5 and add 23, to get 43=43. That statement is true so it's 4.

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true or false the area of a regular hexagon can be found by breaking the hexagon into 6 congruent triangles and then taking the

Lesechka [4]

True. Because the you will get all the areas of those 6 congruent triangles equally and so summing up them will give you the area of the hexagon.

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3 years ago

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The third-grade classes going on a field trip by bus to the museum. The bus leaves the school at 9:45 AM. The bus ride takes 47

Minchanka [31]

9:45 plus 47 minutes equals 10:32

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3 years ago

Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran

snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The project manager believes that p will turn out to be approximately 0.11.

This means that $\pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}$

$\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2$

$n = 417.9$

Rounding up

A sample size no smaller than 418 is needed.

6 0

3 years ago

The overall regression F-statistic tests the null hypothesis that:____.

AnnZ [28]

Answer:

Step-by-step explanation:

F test is a statistical method used to determine which models best fits the population from which the sample is derived. It is a ratio of two variances. Variance measure the rate of dispersion

The formula for calculating f-test = explained variance / unexplained variance

There are two hypothesis in an f test :

1. the null hypothesis - all slope coefficient are equal to zero

the alternative hypothesis : at least one of the slope coefficient is not equal to zero

8 0

3 years ago

You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas yo

Llana [10]

Hi!

So x represents the number of bananas we can buy. Now let's set up the inequality.

0.39x ___ 5.85

Since we can't go greater than 5.85, we can use that less than or equal to sign.

0.39x ≤ 5.85
^ the answer

Hope this helps! :)

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3 years ago

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