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3 years ago

Write an equation that represents the line.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

6 0

9514 1404 393

Answer:

y +2 = 4/5(x -2)

Step-by-step explanation:

The two marked points differ vertically by 4 (rise = 4) and horizontally by 5 (run = 5). The slope is ...

m = rise/run = 4/5

The point-slope form of the equation for a line is ...

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

For slope 4/5 and point (2, -2), the equation is ...

y +2 = 4/5(x -2)

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The point ( -3, 15 ) undergoes a translation of 9 units right and 10 units down. What are 5he coordinates of the new point.

Ipatiy [6.2K]

A point is set up like (x,y)

Since horizontal movement is movement in the x-axis, the x part of the point would change.

Since horizontal changes appear as the opposite inside the parentheses, 9 units right would be -9

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A change up or down is a change in the y-axis. So, 10 units down would be 15-10=5

So, the new point is (-12,5)

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4 years ago

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Elenna [48]

Answer:

The sample statistics follows a standard normal distribution since the sample size are large enough.

Step-by-step explanation:

Given that:

<u>First population:</u>

Sample size $n_1$ = 49

Population standard deviation $\sigma_1$ = 3

Sample mean $\overline x _1$ = 10

<u>Second population:</u>

Sample size $n_2$ = 64

Population standard deviation $\sigma_2$ = 4

Sample mean $\overline x_2$ = 12

The sample statistics follows a standard normal distribution since the sample size are large enough.

The null and alternative hypotheses can be computed as:

$\mathbf{H_o:\mu_1=\mu_2}$

$\mathbf{H_1:\mu_1\ne\mu_2}$

Level of significance = 0.01

Using the Z-test statistics;

$Z = \dfrac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}}$

$Z = \dfrac{10- 12}{\sqrt{\dfrac{3^2}{49} + \dfrac{4^2}{64}}}$

$Z = \dfrac{-2}{\sqrt{\dfrac{9}{49} + \dfrac{16}{64}}}$

$Z = \dfrac{-2}{\sqrt{0.18367 +0.25}}$

$Z = \dfrac{-2}{\sqrt{0.43367}}$

$Z = \dfrac{-2}{0.658536}$

Z = - 3.037

Z $\simeq$ - 3.04

The P-value = 2P (z < -3.04)

From the z tables

= 2 × (0.00118)

= 0.00236

Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses $H_o$

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3 years ago

Sam owes the bank a little less than $40$40. Which choice could be his balance?

tresset_1 [31]

D. because he says a little least and plus two of the other answer choices are negative so use process of elimination and D will be your answer.

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3 years ago