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yawa3891 [41]
3 years ago
6

Rewrite y=x^2+6x+2 in vertex form​

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:(x+3) 2−7

Step-by-step explanation:

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Suppose a researcher is testing the hypothesis Upper H 0​: pequals0.4 versus Upper H 1​: pless than0.4 and she finds the​ P-valu
andre [41]

Answer:

D. If the​ P-value for a particular test statistic is 0.33​, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true.

D. Since this event is not​ unusual, she will not reject the null hypothesis.

Step-by-step explanation:

Hello!

You have the following hypothesis:

H₀: ρ = 0.4

H₁: ρ < 0.4

Calculated p-value: 0.33

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

In this case, you have a 33% chance of getting a value as extreme as the statistic value if the null hypothesis is true. In other words, you would expect results as extreme as the calculated statistic in 33 about 100 samples if the null hypothesis is true.

You didn't exactly specify a level of significance for the test, so, I'll use the most common one to make a decision: α: 0.05

Remember:

If p-value ≤ α, then you reject the null hypothesis.

If p-value > α, then you do not reject the null hypothesis.

Since 0.33 > 0.05 then I'll support the null hypothesis.

I hope it helps!

3 0
3 years ago
Simplify 7.5 + n + 9.63
brilliants [131]

Answer:

7.5 +9.63.

7.5+9.63. + N

17.13N

is the answer

Step-by-step explanation:

5 0
3 years ago
Jorge swam a total of 173 minutes during 3 days. He swam the same number of
qwelly [4]

Answer:

60

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Gregory drinks 6 liters of water over 2 days. In how many days would he consume another 12 liters?
DanielleElmas [232]

Answer:

4 days

Step-by-step explanation:

If he consumed 6 liters in two days, that would mean he would have consumed 3 liters per day. You would divide 12 by 3, since he drinks 3 liters per day, and after 4 days, he would have consumed 12 liters.

5 0
3 years ago
PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME PLEASE HELP!?!?!!?!?!?!?!!?!!?!
Vladimir79 [104]
\text{Goal: Find } x \text{ such that:} \\ 2^x > 4x + 12

2^x > 4x + 12 \\ 2^x > 4(x + 3) \\ 2^{x - 2} > x + 3

\text{A lemma: } \\ \text{It is given that: } \\ 2^n > 2n + 1, \text{ } n > 3
\text{This can be proven by Mathematical Induction.}
\text{Using this lemma, we can manipulate the expression:} \\ 2^{x - 2} > 2(x - 2) + 1 = 2x - 3, \text{ } x > 5 \\ 2\cdot 2^{x - 2} > 2(2x - 3) \\ 2^{x - 1} > 4x - 12 \\ 2^{x - 1} + 24 > 4x + 12

\text{Observe the following: } 2^x \text{ will always grow faster than } 2^{x - 1} \\ \text{This implies that } 2^{x} > 2^{x - 1} + 24 > 4x + 12, \text{ given that } x > 5

\text{This means that the first month } f(x) > g(x) \text{ is Month 6.}
8 0
2 years ago
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