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Lubov Fominskaja [6]

2 years ago

13

The coordinates of the point A are (3,−10) and the coordinates of point B are (3,−6). What is the distance, in units, between th

e point A and point B ?

1 answer:

TiliK225 [7]2 years ago

8 0

Answer:

squareroot 54

Step-by-step explanation:

You might be interested in

An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

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

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

3 years ago

Select the expression that shows the application of the distributive property for

sergeinik [125]

Answer:

c. 9t+45 that shows distributive property

where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5

8 0

2 years ago

Which of the following options are solutions to the inequality f≥ 100

Klio2033 [76]

Answer:

f=100

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is 3x-2y=24 in slope intercept form??

elixir [45]

Answer: 3x-2y=24 in slope intercept form is $y=\frac{2}{3}x -12$

The graph of the equation is in the attachment

Step-by-step explanation: Slope intercept form is y = mx + b

m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.

You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.

3x - 2y = 24 Standard form. Subtract 3x from both sides.

-2y = -3x + 24 divide both sides by -2

-2y/-2 = -3x/-2 + 24/-2 . Simplify.

y = 3x/2 - 12 .

To clarify the slope as a fraction

$y=\frac{2}{3}x -12$

4 0

2 years ago

You purchase 5 pounds of apples and 2 pounds of oranges for $9.Your friend purchases 5 pounds of apples and 6 pounds of oranges

babymother [125]

Answer:

x = 1 and y = 2

Step-by-step explanation:

Let apples are represented by x

and let oranges are represented by y

You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:

5x + 2y = 9

Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.

This line in equation format can be written as:

5x + 6y = 17

Now we have two equations:

5x + 2y = 9 -> eq (i)

5x + 6y = 17 -> eq(ii)

We can solve these equations to find the value of x and y.

Subtracting eq(i) from eq(ii)

5x + 6y = 17

5x + 2y = 9

- - -

_________

0+4y= 8

=> 4y = 8

y= 8/4

y = 2

Now, putting value of y in eq (i)

5x + 2y = 9

5x +2(2) = 9

5x +4 = 9

5x = 9-4

5x = 5

x = 1

so, x = 1 and y = 2

8 0

2 years ago