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3 years ago

The equation of the line which passes through the point (0,5) and has a gradient of 4 is

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:

y = 4x + 5

Step-by-step explanation:

slope = m = 4

y-intercept = b = 5

y = mx + b

y = 4x + 5

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Which way shows how to make a ten to solve 13-7?

OverLord2011 [107]

Subtract 10 from 13 to get an answer that will subtract 7 from it

7 0

4 years ago

NEED HELP FAST PLEASE ANSWER IM DESPERATE!!!!!

balandron [24]

22 because you divide 44 into 4 because if one of the 3 sides is double the others you can divide by 4 and add the answer with itself and so the answer is 22

6 0

4 years ago

When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a rand

Black_prince [1.1K]

Using the z-distribution, it is found that the p-value is of 1.

At the null hypothesis, it is tested that the majority is not against the death penalty, that is:

$H_0: p \neq 0.5$

At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:

$H_1: p > 0.5$

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

In this problem, the parameters are: $\overline{p} = 0.27, p = 0.5, n = 491$ .

Then, the value of the test statistic is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}$

$z = -10.19$

Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.

A similar problem is given at brainly.com/question/16313918

3 0

3 years ago

The number of classified documents has increased approximately linearly from 8.2 million documents in 2001 to 17.4 million docum

Andrei [34K]

Answer:

n -8.2 = 2.3(t -1)

Step-by-step explanation:

You are given definitions for the variables t and n, along with two data points:

(t, n) = (1, 8.2) and (5, 17.4)

The slope of the line between these points is ...

m = (y2 -y1)/(x2 -x1)

m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3

The equation can be written in point-slope form as ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

n -8.2 = 2.3(t -1) . . . . a linear model describing the data

______

Additional comment

If we eliminate the parentheses and add 8.2, we get the point-slope equation ...

n = 2.3t +5.9

4 0

3 years ago

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.

Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = $\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})$

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }$

Diagonal 1 (AC) = $\sqrt{(4-0)^2+(-1+1)^2}$ = 4 units

Diagonal 2(BD) = $\sqrt{(2-2)^2+(3+5)^2}$ = 8 units

Now area of the rhombus ABCD = $\frac{1}{2}(\text{AC})(\text{BD})$

= $\frac{1}{2}\times 4\times 8$

= 16 units²

Therefore, area of the given rhombus is 16 units².

5 0

3 years ago