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3 years ago

1. Given the polynomial below, which shows the

Mathematics

1 answer:

RoseWind [281]3 years ago

5 0

A. 2m3 + 9n3 + 5m2n - mn2

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Which equation would best help solve this problem? Five added to 3 times a number is equal to 8 less than 5 times the number.

vitfil [10]

$\hbox{five added to 3 times a number = to 8 less than 5 times the number} \\\\ \implies \boxed{5+3x=8-5x}$

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4 years ago

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.

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3 years ago

Write at least 2 numerical expressions for each phrase below. Then, solve.

wel

Answer:

a) 16/3

b) 6

Step-by-step explanation:

See it in the pic

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3 years ago

PLEASE HELP!!! WILL GIVE BRAIN I PROMISE!!!!

Vinil7 [7]

Answer: 6i

Step-by-step explanation:

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3 years ago

What does it mean to say that a number is a perfect square? Give one example of a number that is a perfect square and one that i

likoan [24]

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3. 16 is a perfect square and 10 is not a perfect square

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4 years ago