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Dmitriy789 [7]
3 years ago
15

At prom, Dina asks a boy to dance. A moment later, her friend decides to ask a boy to dance, too.

Mathematics
1 answer:
leonid [27]3 years ago
3 0

Answer:

Dina's friend is jealous of Dina's confidence so she wanted to "what up" her :)

Step-by-step explanation:

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In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer
stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>

So, Null Hypothesis, H_0 : p = 80%     {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, H_A : p \neq 80%     {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here <u>One-sample z test for proportions</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of patients who stop smoking when given sustained care = 80.2%

           n = sample of patients = 192

So, <u><em>the test statistics</em></u>  =  \frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }

                                     =  0.07

The value of z test statistics is 0.07.

<u></u>

<u>Also, P-value of the test statistics is given by the following formula;</u>

                P-value = P(Z > 0.07) = 1 - P(Z \leq 0.07)

                              = 1 - 0.52790 = 0.4721

<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0
3 years ago
What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f?
alexdok [17]

Answer:

Sorry my mistake, it is actually worded as "f(x) =(x+6)^2"

Explanation:

y

=

(

x

+

6

)

2

with  

x

≥

−

6

, then

x

+

6

is positive, so

√

y

=

x

+

6

And  

x

=

√

y

−

6

for  

y

≥

0

So the inverse of  

f

is

g

(

x

)

=

√

x

−

6

for  

x

≥

0

8 0
3 years ago
Read 2 more answers
If this trapezoid is moved through the
Cerrena [4.2K]

9514 1404 393

Answer:

  D'(4, 0)

Step-by-step explanation:

  (x, y) ⇒ (x +3, y -2)

  D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)

4 0
3 years ago
Match each equation to the ordered pair that represents one of its solutions. Tiles 3x + 2y = 6 -5x + y = -10 x − 4y = 8 -6x − 5
Orlov [11]
3x + 2y = 6....solution (0,3) 

-5x + y = -10...solution (1,-5)

x - 4y = 8...solution (4,-1)

-6x - 5y = 30...solution (0,-6)
4 0
3 years ago
Read 2 more answers
Need help with this?
Julli [10]

Answer:

It's b, 45 degrees

Step-by-step explanation:

1) 180-90 = 90

20 90 divided by 2 = 45

7 0
3 years ago
Read 2 more answers
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