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uranmaximum [27]
3 years ago
11

Hint: A two-dimensional figure made from two or more geometric figures

Mathematics
1 answer:
horsena [70]3 years ago
4 0
I think the answer you're looking for is composite.
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An increased number of colleges have been using online resources to research applicants. According to a study from last​ year, 3
Aneli [31]

Answer:

D. H0​: p ≤0.36 H1​: p>0.36

$$(Right tail test) Z_{\alpha}=Z_{0.1}=1.28155

Z_p=-0.25516

D. Reject H0. There is sufficient evidence to support the hypothesis that the proportion of admissions officers who visit an applying​ students' social networking page has increased in the past year

Step-by-step explanation:

To solve this problem, we run a hypothesis test about the population proportion.

$$Sample proportion: $\bar P=0.47\\Sample size n=100$\\Significance level \alpha=0.10$\\(Left tail test) Z_{1-\alpha}=Z_{0.90}=-1.28155$\\(Right tail test) Z_{\alpha}=Z_{0.1}=1.28155$\\(Two-tailed test) $Z_{1-\alpha/2}=Z_{0.95}=-1.64485$ and $ Z_{\alpha/2}=Z_{0.05}=1.64485\\\\

The appropriate hypothesis system for this situation is:

H_0:\pi_0=0.35\\H_a:\pi_0 > 0.35\\\\$Proportion in the null hypothesis is:\\\pi_0=0.35\\\\

$$The test statistic is $Z=\frac{(\bar P-\pi_0)\sqrt{n}}{\sqrt{\pi_0(1-\pi_0)}}\\$The calculated statistic is Z_c=\frac{(0.47-0.35)\sqrt{100}}{\sqrt{0.35(1-0.35)}}=-0.25516\\p-value = P(Z \geq Z_c)=0.01620\\\\

Since, the calculated statistic Z_c is greater than critical Z_{\alpha}, the null hypothesis should be rejected. There is enough statistical evidence to state that the proportion of admissions officers who visit an applying​ students' social networking page has increased in the past year.

5 0
3 years ago
The numbers 1, 2, 3, 4, 5, 6 are written on identical cards and placed in a bag. A card is selected at
AleksandrR [38]

Answer:

yes yes yes yes yes yes yes

8 0
3 years ago
4k + 15 greater than -2k + 3
ioda

Answer:

k>-2

Step-by-step explanation:

4k+15>-2k+3

4k-(-2k)+15>3

4k+2k+15>3

6k+15>3

6k>3-15

6k>-12

k>-12/6

k>-2

8 0
3 years ago
Select the correct answer.
Zarrin [17]

Answer:

B hope I helped.

Step-by-step explanation:

7 0
4 years ago
If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
creativ13 [48]

<u>Answer</u>

d) 2 – i


<u>Explanation</u>

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

          i² =(√-1)(√-1) =  -1

          i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i

f(x) = x³ – 2x²

f(i) = i³ – 2i²

     = -i – 2(-1)

     = -i + 2

      = 2 – i


8 0
4 years ago
Read 2 more answers
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