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3 years ago

Write an equation, in point-slope form, for the line that passes through (1, -5) and has a slope of -3.

Mathematics

1 answer:

Serggg [28]3 years ago

8 0

Answer:

y+5 =-3

x-1

y+5=-3x +3

y=-3x-2

Step-by-step explanation:

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How to find S12 of the following series

11111nata11111 [884]

I think it's a3D unless u tell me what u mean by finding S12

4 0

3 years ago

What is the radius and center of the circle given by the equation (x-5)^{2}+(y+2)^{2} = 81/4

artcher [175]

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-5)^{2}+(y+2)^{2} = 81/4

( (x-5)^{2}+(y- -2)^{2} = (9/2)^2

The center is (5, -2) and the radius is 9/2

6 0

3 years ago

A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r

olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

Step(I):-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

$p_{1} = \frac{360}{390} = 0.9230$

second sample proportion

$p_{2} = \frac{47}{52} = 0.9038$

Step(ii):-

Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

$Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }$

where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }$

P = 0.920

$Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}$

Test statistic Z = 0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

7 0

3 years ago

Cylinder B is proportional to Cylinder A.

Anarel [89]

Answer:

scale factor=3/2

Step-by-step explanation:

scale factor=6/4=3/2

6 0

3 years ago

Find the range of possible lengths of the third side using the given side lengths 10, 7

Tomtit [17]

Answer:

3 < x < 17

Step-by-step explanation:

Given 2 sides then the possible range of the third side x is

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

3 < x < 17

8 0

3 years ago