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3 years ago

Which equation is not equivalent to the formula m = ca?

1 answer:

3 0

$\displaystyle\\ m = c \times a\\\\ \Longrightarrow \begin{cases} c = \dfrac{m}{a} \\\\ a = \dfrac{m}{c} \\\\ m = a\times c \end{cases}\\\\ \Longrightarrow\text{Equation}\text{\bf "a equals c over m"}\text { is NOT equivalent to the formula m = ca}$

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A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand

Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

$\mu_G = 15$

$s_G = \frac{4.2}{\sqrt{35}} = 0.71$

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

$\mu_E = 13.4$

$s_E = \frac{3.7}{\sqrt{40}} = 0.585$

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

$\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6$

Standard deviation:

$s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92$

So the correct answer is given by option b.

8 0

3 years ago

What are the factors of the expression x^2+x-20?

tatyana61 [14]

Answer:

(x-4)(x+5)

Step-by-step explanation:

Find 2 numbers knowing sum (1) and product (-20). To find them, factor pairs of (-20) --> (-2,10) (-4,5). This sum is 1=b. Then, these 2 numbers are: - 4 and 5. Y=(x-4) (x+5). Hope this helped :)

3 0

3 years ago

A baseball team has home games on Thursday and Saturday The two games together earn $4061.50 for the team. Thursday's game gen

marta [7]

The team made 2,061.50 at the first game and 2,000.00 at the second game. Because 2,000.00 would be 61.50 less than the amount made at the first game. You can check it by adding 2,061.50 + 2,000.00 which equals $4,061.50.

7 0

3 years ago

How can I graph 34+12d>100 on a number line?

marissa [1.9K]

Answer:

d> 5.5

The graph in the attached figure

Step-by-step explanation:

we have

$34+12d>100$