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4 years ago

What is the equation of the line that passes through (4,3) and (2, -1)?

Mathematics

1 answer:

jeka944 years ago

4 0

Answer:

y = 2x - 5

Step-by-step explanation:

Step 1: Find slope m

m = (-1 - 3)/(2 - 4)

m = -4/-2

m = 2

y = 2x + b

Step 2: Find b

-1 = 2(2) + b

-1 = 4 + b

b = -5

Step 3: Rewrite equation

y = 2x - 5

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A study1 conducted in July 2015 examines smartphone ownership by US adults. A random sample of 2001 people were surveyed, and th

dusya [7]

Answer:

a) Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

b) $z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679$

c) $z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58$

d) For this case we see that $\hat p_1 > \hat p_2$ so then the answer for this cae would men

Step-by-step explanation:

Information given

$X_{1}=688$ represent the number of men with smartphone

$X_{2}=671$ represent the number of women with smartphone

$n_{1}=989$ sample of men selected

$n_{2}=1012$ sample of women selected

$p_{1}=\frac{688}{989}=0.696$ represent the proportion of men with smartphone

$p_{2}=\frac{671}{1012}=0.663$ represent the proportion of women with smartphone

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value

Part a

We want to test if we have difference in the proportion owning a smartphone between men and women, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

Part b

The statistic for this case is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679$

Part c

Replacing the info given we got:

$z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58$

Part d

For this case we see that $\hat p_1 > \hat p_2$ so then the answer for this cae would men

4 0

3 years ago

Find the value of the angle θ rounded to 1 DP. The diagram is not drawn accurately

ollegr [7]

Answer:

Find length opposite to 30deg

Opposite = tan(30)*42

= 24.2

Whole side = 24.2+10

Find angle of 0 + 30deg: (say x)

Tan(x) = 33.2/42

Arctan(0.79) = x

x = 38.3

The angle to find:

38.3-30:

8.3

The angle is 8.3deg.

8 0

3 years ago

A student builds a model of a high-rise for a diorama for an architecture class. The model is a perfect cube and the total volum

laila [671]

The answer is 166.6666667

6 0

4 years ago

Read 2 more answers

Fabric is sold by the yard and many fabrics are 48" wide (4feet). Designers calculate the square feet needed for a garment in or

Natali5045456 [20]

Answer:

How many yards of material does the designer need for the 6 skirts? = 12

How much will ALL the fabric cost? = $150.84

What is the cost of the fabric of ONE skirt? = $12.57

Step-by-step explanation:

How many yards of material does the designer need for the 6 skirts?

First, it says that the yard is 48" wide aka 4 feet. But since it's asking for a total of 6 skirts, you multiply the yard by the number of skirts. Let's try to multiply 48 with 6.

x 6

288

So it will be 288 yards of material but we need to multiply 4 with 6.

x 6

So as you can see, 24 is 12 times as many as 288.

If you multiply 24 with 12, you will get the result of 288.

So the answer is 12 yards of material.

-----------------------------------------------------------------------------------------------------------------

How much will ALL the fabric cost?

First, it says that the cost of the fabric is $12.57 per yard.

So, since we got our answer as 12 for our first question, we gotta multiply $12.57 with 12.

12.57

x 12

150.84

So the answer is $150.84.

-----------------------------------------------------------------------------------------------------------------

What is the cost of the fabric for ONE skirt?

First, again we check that it's $12.57 per yard.

So, if it's for only one skirt, it will be $12.57.

It says that the fabric cost $12.57 and for one skirt.

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Hope this helped! I tried to help though. I didn't read the whole thing but I tried to solve your 3 questions :) !

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3 years ago

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Given that a = 6 cm and b = 5 cm, work out the height of the triangle.

skad [1K]

Do you have a diagram?

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3 years ago

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