Answer:
Since ZE and ZF are vertical angles, they are congruent.
8x+8 = 2x+38
8 = 2x-8x+38
8 = -6x+38
8-38 = -6x
-30 = -6x
x = -30/-6
x = 5
The product in scientific notation is 8*10^2
<h3>
How to multiply and divide in scientific notation?</h3>
Here we want to find the product between 4*10^6 and 2*10^6, and write that in scientific notation.
First, we can solve the direct product:
(4*10^6)*(2*10^6) = (4*2)*(10^6*10^6)
Here we used the fact that we can multiply in any order we want.
Now we will use the property:
a^n*a^n = a^{n + m}
(4*2)*(10^6*10^6) = 8*10^{6 + 6} = 8*10^12
The correct option is the second one, counting from the top.
If you want to learn more about scientific notation:
brainly.com/question/5756316
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Answer:
p = 5 and q = -3
Step-by-step explanation:
nth term = pn^2 + qn where n is the sequence number.
first term = p + q = 2.....................(1)
2nd term = p(2)^2 + 2n = 14
4p + 2q = 14
2p + q = 7 .......................(2)
Subtract equations (2) -(1) :-
p = 7 - 2 = 5
and q = 2 - 5 = -3
This Question is Incomplete
Complete Question
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?
Answer:
Sample size n = 16
Step-by-step explanation:
We use the formula for Margin of Error for the question
Margin of Error = z × Standard deviation/√n
Margin of Error = 1
z score for 99% confidence interval = 2.576
Standard deviation = 100
1 = 2.576 × 100/√n
1 × √n = 257.6
√n = 257.6/1
n = √257.6
n = 16.049922118
Approximately = 16
Therefore, the sample size = 16
