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KATRIN_1 [288]
3 years ago
15

Which shows the expression in the simplest form

Mathematics
2 answers:
umka21 [38]3 years ago
7 0
I believe your answer should be A (4x+3) because if im not mistaken you have to factor out 64x^2+96x+36 which will lead you to 4(16x^2+24x+9)/16x+12 then you factor 16x+12 which gives you 4(16x^2+24x+9)/4x+3 now and for your final factor you factor 16x^2+24+9 now which gives you (4x+3)^2 and for your final step you cancel the common factor which will give you (4x+3)
Brut [27]3 years ago
5 0
4x+3 because you divide the number of each
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The mean salary of actuaries is LaTeX: \mu=\$100,000????=$100,000 and the standard deviation is LaTeX: \sigma=\$36,730????=$36,7
krek1111 [17]

Answer:

The lower limit of 95% confidence interval is 99002.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100,000

Sample mean, \bar{x} = $111,000

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = $36,730

First, we design the null and the alternate hypothesis

H_{0}: \mu = \$100,000\\H_A: \mu \neq \$100,000

We have to find the lower limit of the 95% confidence interval.

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

111000 \pm 1.96(\dfrac{36730}{\sqrt{36}} )\\\\ = 111000 \pm 11998.4667 \\= (99001.5333,122998.4667)\\ \approx (99002,122999)

The lower limit of 95% confidence interval is 99002.

6 0
4 years ago
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Find the value of each expression: 9P3
melamori03 [73]
Ask your teacher for help you didn't give us a lot of details at all . Sorry I could help you .
8 0
4 years ago
SOMEONE, ANYONE HELPPPPP!!!!!
Deffense [45]

What is the mean absolute deviation of the ticket prices for the 5 concerts? ​

<u>2.8</u>

8 0
4 years ago
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grap
forsale [732]
Yes the jug can hold the punch!

If you add up 1/2 + 1/4 + 3/8 + 5/8 you’ll end up with 1 and 3/4 cup so it is close to 2 cups but not quite there yet!

Hope this helps!
7 0
3 years ago
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