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Elina [12.6K]
3 years ago
14

Television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a q

uestion concerning the approval rating of the way President Obama was handling the Iraq War. At about the same time a second network ran an online poll using a very similar question. The results of the two polls are summarized in the following table.
Poll
Scientific Online
Approve 339 385
Disapprove 780 573
Total 1119 958

We would like to test to see if the two polls are consistent with respect to the proportion who approve of President Obama's handling of the war

If the x^2 test is used to test the null hypothesis, the expected cell count in the online poll for those who approve and that cell's contribution to the value of the test statistic are, respectively,

Group of answer choices

a. 390.1 and 7.70.
b. 333.9 and 6.78.
c. 390.1 and 6.69.
d. 333.9 and 7.81.
e. 362.0 and 1.46.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

Answer:

Option d

Step-by-step explanation:

Given that television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a question concerning the approval rating of the way President Obama was handling the Iraq War. At about the same time a second network ran an online poll using a very similar question.

Observed data is

Poll              Scien      Online total

   

approve    339   385      724

disapprove 780        573     1363

                 1119        958     2087

H_0: Both scientific and online are consistent\\H_a: not consistent

(Two tailed chi square test)

Let us find out expected and chi square

Expected = row total x column total/grand total

The cell count expected in the online poll for those who approve

=\frac{724*968}{2087} \\=333.94

chi square = 7.81

Hence option d is right.

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Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2
Vedmedyk [2.9K]

Answer:

y = \frac{1}{2} x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = \frac{1}{2}, hence

y = \frac{1}{2} x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y = \frac{1}{2} x + 7 ← equation in slope-intercept form


4 0
3 years ago
Find an equation for the line that passes through the points (5.-5) and (-4,-2)
ANEK [815]

Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

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3 years ago
What does the x represent?<br><br> a.diameter <br> b. central angle<br> c. arc
IrinaVladis [17]
A because it shows hi wide the circle is⭕️
8 0
3 years ago
16x 2 + 8x - 15 Mathematics?
Gala2k [10]
If you're factoring, your answer is

(4x - 3)(4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:

4x(4x + 5) - 3(4x + 5)

Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to

(4x - 3)(4x + 5)
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3 years ago
Can someone help me please
xxTIMURxx [149]

Answer:

the triangles are not similar.

5 0
3 years ago
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