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3 years ago

What is the slope-intercept form equation of the line that passes through (5.7) and (8, 22)?

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

5 0

Answer:

C . y= 5x -18

Step-by-step explanation:

$(5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)$

Plug in the values into the following equation

$\frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}$

$\frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3}$

Cross Multiply

$3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75$

Collect like terms and simplify

$3y = 15x - 75 + 21 \\ 3y = 15x - 54$

Divide through by 3

$\frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18$

ELEN [110]3 years ago

4 0

Hsisnzb ok ok hello ok

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Bobs supermarket sells red apples and green apples at the ratio of 5:3.

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Answer:

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Step-by-step explanation:

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3 years ago

Estimate the solution of the equation x - 8.1=5.3 to the nearest whole number

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Tell whether x and y show direct variation. x + y = 6

Over [174]

<h3>Answer: Not direct variation</h3>

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If we solved the given equation for y, we get y = -x+6. It has a y intercept of 6, but it should be zero if we wanted a direct variation equation.

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2 years ago

A null hypothesis is that the mean nose lengths of men and women are the same. The alternative hypothesis is that men have a lon

algol [13]

Answer:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

See explanation below.

Step-by-step explanation:

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:

Null hypothesis: $\mu_{men} \leq \mu_{women}$

Alternative hypothesis: $\mu_{men} > \mu_{women}$

Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Let's assume that the calculated statistic is $z_{calc}$