All categories

3 years ago

Write the equation of the line through the points (4,5) and (12,9)

Mathematics

1 answer:

Umnica [9.8K]3 years ago

7 0

Answer:

y=1/2+1

Step-by-step explanation:

1) Y2-Y1 over X2-X1

12-4=8

4/8 simplify the answer= 1/2

m=1/2

2) subtitute the simplification to one of the points.

y=mx+b

5=1(4)+b

5=4=b

1=b

y=1/2+1

You might be interested in

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

6 0

3 years ago

Type the correct equation of the line. (0, 1), (2, -3), (4, -7)

amid [387]

Answer:

1(2-3)(4-7)

(1)(-1)(4-7)

-1(4-7)

(-1)(-3)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

31)The scale on a map shows that 5 centimeters = 2 kilometers.

Sonbull [250]

Answer:

13.5 cm

Step-by-step explanation:

if 5 cm is 2 km, then 10 cm is 4 km. To find one km you do half of 5 cm. which is 3.5 cm. So 10+3.5=13.5

8 0

3 years ago

Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t

vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

$The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.$

i.e

$The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.$

Put in the above formula

$Area\ of\ garden = \frac{5\times 2}{2}$

= 5 m²

As given

$The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.$

i.e

$The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.$

$Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}$

$Area\ of\ garden\ with\ trench = \frac{21}{2}$

= 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

= 5.5 m ²

Therefore the area of a trench is 5.5 m² .

5 0

3 years ago

Read 2 more answers

What is 1÷ (3/4) = ?

Valentin [98]

Answer:

Step-by-step explanation:

You can get your calculator to do this for you. 3 ÷ 4 = 0.75

1 ÷ 0.75 = 1.3333

or you can divide by 3/4 by hand

----

=====

-----

1 * 4

--- ----------- ====== 1.33333

1 * 3

4 0

3 years ago