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4 years ago

In the function rule p(t) =15t-700 , what does 15 mean in the context of the situation?

1 answer:

hjlf4 years ago

7 0

In the context of the given function, 15 here means that the value of p(t) which may be read as "p of t" increases by 15 every time the value of t is increased. This means that t is the independent variable and p(t) is the dependent variable.

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DochEvi [55]

Answer:

what is the quistion

Step-by-step explanation:

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3 years ago

A window washer earns $4 per window. Which equation represents the relationship between his total earnings and the number of win

Virty [35]

Y=4x shows y as the total earnings and x as the number of windows

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3 years ago

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviat

Mnenie [13.5K]

Answer:

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

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

$\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71$

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

$\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585$

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the 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.

3 0

3 years ago

How can the difference of squares, 4x^2 - 25, be written in factored form?

ASHA 777 [7]

3. Binomial Formula: ( a + b ) ( a - b ) = a^2 - ab + ba - b^2 = a^2 - b^2
4x^2 - 25 = (2x - 5)(2x + 5)

3 0

4 years ago

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

kifflom [539]

$\text {You need to multiply by } \dfrac{ \sqrt{11} }{ \sqrt{11} }$

$\dfrac{2 \sqrt{10} }{3 \sqrt{11} } \times \dfrac{ \sqrt{11} }{ \sqrt{11} } = \dfrac{2 \sqrt{10} \sqrt{11} }{3 \times 11} = \dfrac{ 2\sqrt{110} }{33}$

5 0

4 years ago