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Deffense [45]
3 years ago
5

Which expression is equivalent to r^m ÷ r^n? a. r^m − ^n b. r^m ^n c. r^m ⋅ ^n d. r^m ÷ ^n

Mathematics
1 answer:
Murljashka [212]3 years ago
4 0
r^m  \div r^n= r^{m-n}
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in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

5 0
3 years ago
What is the answer?
Alex73 [517]

Answer:

see explanation

Step-by-step explanation:

k=3, giving 3, 4, 5 as the three integers.

He should have used k + (k+2) + (k+4) = 4k

which gives k = 4 and the correct answer is

4, 6, 8

5 0
3 years ago
Find the sum of the measures of the interior angles of a convex 30-gon.
Kisachek [45]
The sum of the interior angles of a polygon with N sides is (N-2) x 180 degrees.

For a 30-gon, the sum of interior angles is (28) x (180) = <u>5,040 degrees</u>.

It makes no difference whether or not the polygon is convex at every vertex.
7 0
3 years ago
Read 2 more answers
I need help with this ASAP. Thank you for the help
Gre4nikov [31]

Answer:

The relationship is not a function

Step-by-step explanation:

3 0
3 years ago
There are 15 hats on a rack and 9 of them are orange<br>What percentage of the hats are NOT orange?​
dmitriy555 [2]

Answer:

40%

Step-by-step explanation:

15-9=6

6/15=2/5=40/100=40%

4 0
3 years ago
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