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3 years ago

9^6 * 9^3 = Give the answer in exponent form

Mathematics

2 answers:

Alex787 [66]3 years ago

6 0

Answer:

9^18

Step-by-step explanation:

Since the bases are the same digit, all you have to do is multiply the exponents to get your answer

Andrews [41]3 years ago

5 0

Step-by-step explanation:

1,983593e11

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Statistics: Hypothesis Testing

Delicious77 [7]

Answer:

Yes, the data supports the claim that the aluminum bottle cools faster.

Step-by-step explanation:

When doing a hypothesis test, remember the acronym PHANTOMS.

P (p definition)

let $p_{glass}$ = the mean time that the clear glass bottles take to chill from 75F to 45F

let $p_{aluminum}$ = the mean time that the aluminum bottles take to chill from 75F to 45F

H (hypotheses)

$H_{0}$ is $p_{aluminum} = p_{glass}$

$H_{a}$ is $p_{aluminum} < p_{glass}$

A (assumptions)

There is no evidence that these bottles were picked randomly or independently, but we'll solve as if they were. Both samples are larger than 30, so we can assume the distribution will be close to normal.

N (name the test)

Because the above assumptions are met, we can perform an independent samples t-test. We will use an alpha level of 0.05.

T (test)

$t = \frac{\overline{x_{aluminum}} - \overline{x_{glass}}}{\sqrt{\frac{S_{aluminum}^{2} }{n_{aluminum}} + {\frac{S_{glass}^{2} }{n_{glass}}}}}$

t = $\frac{92.4 - 133.8}{\sqrt{\frac{7.3^{2} }{35} - \frac{9.9^{2} }{42}}}$

t = -21.08

O (obtain p-value)

In a graphing calculator, go to stat → tests → 2 samp T test → and enter the given data (select not pooled).

p-value = 0

M (make a decision)

Because the p-value is less than 0.05, I will reject the null hypothesis.

S (state your conclusion)

There is significant evidence to support the claim that the aluminum bottle does cool faster than the traditional glass bottle.

8 0

4 years ago

Tammy has completed 52 eliveries so far this week. She needs to make 65 eliveries for the week. What percentage of her deliverie

Maru [420]

Answer:

Tammy has completed 80% of her deliveries

Step-by-step explanation:

The percentage of deliveries can be calculated using a rule of three in which we know that 65 deliveries represent the 100%, then what is the percentage for 52 deliveries. This is writing as:

65 deliveries -------------------------- 100%

52 deliveries -------------------------- X

Where X is the percentage that Tammy has completed. Solving for X we get:

$X = \frac{52*100}{65}$