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3 years ago

In slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?

1 answer:

6 0

Y2 - y1 over x2 - x1 = slope
2 - (-1) = 3
-1 - 2 = -3
the slope is 3/-3, or -1
y = -x
2 = 1 + 1
The equation of the line is y = -x + 1

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What are integers an negative counting numbers an please explain

andrezito [222]

Integers are whole numbers meaning numbers that's aren't fractions, the numbers lower than zero are negative number and they just go backwards.

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3 years ago

Please help fill in the blanks, better with explanation but optional

goldfiish [28.3K]

The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle

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3 years ago

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At the beach, 11% of people have white towels and 53% have blue towels. If

telo118 [61]

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

8 0

3 years ago

Read 2 more answers

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2 : Supp

Andru [333]

Answer:

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

Step-by-step explanation:

Estimate of the proportion of people who pass out at more than 6 Gs.

Number of people who passed out divided by the size of the sample.

We have that:

Sample of 502 people, 140 passed out at G forces greater than 6. So the estimate is:

$p = \frac{140}{502} = 0.279$

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

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3 years ago

For the following hypothesis test, H0: μ ≥ 150Ha: μ < 150the test statistic a. must be positive. b. must be negative. c. can

Virty [35]

Answer:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

And since we are conducting a lower unilateral lest then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation

$\bar X$ represent the sample mean

$s$ represent the standard deviation for the sample

$n$ sample size

$\mu_o =150$ represent the value that we want to test

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

t 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 determine if the mean is lower than 150, the system of hypothesis would be:

Null hypothesis: $\mu \geq 150$

Alternative hypothesis: $\mu < 150$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

And since we are conducting a lower unilateral lest then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

7 0

3 years ago