2.1 km =

A line with a slope of 1 passes through the point (18, 15). What is its equation in slope-intercept form? Write your answer usin

Setler79 [48]

Answer:

y = x - 13

Step-by-step explanation:

Given parameters:

Slope of the line = 1

Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

Now, sine x = 18 and y = 5, let us find c;

5 = 1(18) + c

5 = 18 + c

c = -13;

The equation of the line is;

y = 1(x) + (-13)

y = x - 13

4 0

2 years ago

A faucet leaks 75 milliliter a minute how long in 220 minutes

nordsb [41]

Answer:

16500

Step-by-step explanation:

If it leaks 75 mL a minute you multiply that by the 220. Then you get 16,500

8 0

2 years ago

Read 2 more answers

The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls

Elanso [62]

Answer:

$\chi^2 =\frac{22-1}{259.21} 166.41 =13.482$

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(13.482,21,TRUE)"

If we compare the p value and the significance level provided we see that $p_v >\alpha$ so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population deviation is not significantly lower than 16.1 at 1% of significance.

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=22$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s^2 =12.9^2=166.41$ represent the sample variance obtained

$\sigma^2_0 =16.1^2 =259.21$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population deviation is smaller than 16.1 (that's equivalent to check if the population variance is lower than 259.21:

Null Hypothesis: $\sigma^2 \geq 259.21$

Alternative hypothesis: $\sigma^2$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{22-1}{259.21} 166.41 =13.482$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 21. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(13.482,21,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that $p_v >\alpha$ so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population deviation is not significantly lower than 16.1 at 1% of significance.

3 0

2 years ago

F(x) = x + 2 g(x) = 3x2^2 - 5 Find (f•g)(x)

stepan [7]

Answer:

the answer is option 4 hope it helps

8 0

1 year ago

. The sum of -8 and a number is at least 9 what is the equation look like

MA_775_DIABLO [31]

Answer:

-8 + x ≥ 9

Step-by-step explanation:

Let's look at your sentence:

The sum of -8 and a number is at least 9 what is the equation look like

Sum is the result of adding

At least 9 means that the number is 9 or greater.

So what you have here is an inequality expression:

Sum of -8 and a number

-8 + x

x here is the "number" since we do not know the value we will use "x" to represent that number.

At least 9

At least means that it is equal or greater, so we use this expression ≥

and so we use put that all together

-8 + x ≥ 9

6 0

3 years ago