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3 years ago

Draw an angle of negative pie over three in Standard position.

Mathematics

1 answer:

AVprozaik [17]3 years ago

7 0

Check the picture below.

recall that negative angles go "clockwise".

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Simplify 2^3 x 2^18 A. 2^54 B. 4^54 C. 4^21 D. 2^21

maksim [4K]

When you multiply powers, you add them. You keep the constant (2) the same.

3+18= 21

2^21 <=== the answer

“D” is the answer.

I hope this helps!
~kaikers

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3 years ago

Evaluate (2-3) (4) - 9 -3. -7 I 11 4

Delicious77 [7]

Answer:

-16

Step-by-step explanation:

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3 years ago

One third the sum of two numbers is 23.If one of the numbers is 29.3,what is the other number

Mariana [72]

39.7 I think I’m not sure

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2 years ago

We're testing the hypothesis that the average boy walks at 18 months of age (H0: p = 18). We assume that the ages at which boys

marusya05 [52]

Answer:

II. This finding is significant for a two-tailed test at .01.

III. This finding is significant for a one-tailed test at .01.

d. II and III only

Step-by-step explanation:

1) Data given and notation

$\bar X=19.2$ represent the battery life sample mean

$\sigma=2.5$ represent the population standard deviation

$n=25$ sample size

$\mu_o =18$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean battery life is equal to 18 or not for parta I and II:

Null hypothesis: $\mu = 18$

Alternative hypothesis: $\mu \neq 18$

And for part III we have a one tailed test with the following hypothesis:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{19.2-18}{\frac{2.5}{\sqrt{25}}}=2.4$