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3 years ago

Triangle 1 has known angles of 36° and 64º.

Mathematics

1 answer:

cluponka [151]3 years ago

7 0

Answer:

so the three sides of same triangle have 36°,64° or 64°

we know the total sum of angles of triangle is 180 then

here to find x

so if we add all the 3 triangle and - (subtract) it with 180° = remaining side

now 36°+64°+64°= 164

now. x= 180-164= 16°

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

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

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

The statistic 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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0

3 years ago

Help with #2 it has to do with number 1 that is the polygon you need to find the area of it.

Katena32 [7]

Okay, it's the equation to how find area any other way. A=L×W

This means *picture above*

So then you count over each line meaning 1.
This means L=9 and a 1/2. Since its in between the 2 an 3 on the x-axis.
Now for W or width. It equals 3 since you can count 2 lines and one either ends of the polygon is 1/2 each this creates one when added together.

All you do from there is multiply 9 and 3. This should give you A=area.

8 0

3 years ago

What is the circumternence

AfilCa [17]

Circumference of a circle is the distance around the circle. This can be found by using the equation below

2*pi*radius

Our diameter, as shown, is 9cm. Since radius is half of the diameter, our radius is 4.5cm.

Therefore, our circumference is...

2 * pi * 4.5 = 9pi cm total

4 0

3 years ago

The diameter and height of this cylinder are equal to the side length ,S, of the crude in which the cylinder is inscribed.What e

yulyashka [42]

Answer:

Step-by-step explanation:

just took the test

3 0

2 years ago

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (22,99) and perpendicu

liberstina [14]

Y-99=-1/33(x-22)

a). y = 1/33x + 98 1/3

b) 33y = x + 109 1/3
x - 33y = -109 1/3

5 0

3 years ago