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1 year ago

Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)

Mathematics

1 answer:

SpyIntel [72]1 year ago

6 0

B is the right answer according to the result of the equation. "Thanks me" if i've been helpful

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A band director uses a coordinate plane to plan as how for a football game. During a show, the drummers will march along the lin

LenaWriter [7]

Answer:

The equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

Step-by-step explanation:

Consider the provided information.

The drummers will march along the line y=-5x-8.

The trumpets players will march along a perpendicular line that passes through (-2,2).

The slope of line y=-5x-8 is: m₁ = -5.

The slope of perpendicular lines are: $m_1\times m_2=-1$

$-5\times m_2=-1$

$m_2=\frac{1}{5}$

Hence, the slope of the line should be 1/5.

The line passes through (-2,2).

Now use point slope form to find the equation of line.

$y-y_1=m(x-x_1)$

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.

$y-2=\frac{1}{5}(x+2)$

$y-2=\frac{x}{5}+\frac{2}{5}$

$y=\frac{x}{5}+\frac{2}{5}+2$

$y=\frac{x}{5}+\frac{12}{5}$

Hence, the equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

4 0

1 year ago

In 1998 the average income for middle class families in the US was $37,100 with a population standard deviation of $6362. We wan

sammy [17]

Answer:

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best answer would be:

A. Z test

Step-by-step explanation:

Data given and notation

$\bar X=36670$ represent the mean average

$\sigma=6362$ represent the population standard deviation for the sample

$n=1225$ sample size

$\mu_o =37100$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal or not to 37100, the system of hypothesis would be:

Null hypothesis: $\mu =37100$

Alternative hypothesis: $\mu \neq 37100$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best answer would be:

A. Z test

5 0

2 years ago

At Riptide Roller Coaster Park, 55% of those surveyed named the Super Loop as their favorite ride. If 1,100 people chose the Sup

blagie [28]

Answer: 2000

Step-by-step explanation:

55 multiplied by 20

is equal to 1,100

100 multiplied by 20

is equal to 2000