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zhenek [66]
3 years ago
15

Can someone help me with this

Mathematics
2 answers:
xeze [42]3 years ago
6 0
2^2 + 4 x 2 + 7 x 6
evaluate the power
4 + 4 x 2 + 7 x 6
____________
5-2^3
multiply
4+8 +7x6
_______
5-2^3
multiply
4 + 8 + 42
_______
5-2^3
evaluate the power
4+8+42
______
5-8
find the sun of the positive numbers
54
___
5-8
find the difference
54
__
-3

reduce

-18
AleksAgata [21]3 years ago
4 0
You have to plug in 2 for a and 6 for b.

(2)^2 + 4(2) + 7(6) 4 + 8 + 42 54
————————— = —————- = ——
5 - (2)^3 5 - 8 -3

The answer is -18.

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Identify a pair of vertical angles in the figure
MArishka [77]

Answer:

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

Step-by-step explanation:

Definition of vertical angles: Each of the pairs of opposite angles made by two intersecting lines are known as vertical angles.

So, in the given figure there are two intersecting lines named as AC and EB

So, the pair of vertical angles are :

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

Thus these are the pairs of vertical angles in the given figure .

Hence  a pair of vertical angles in the figure are :

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

3 0
4 years ago
HELP PLEASE !! Algebra 2! 20 points!
malfutka [58]
I don't u understand what is the answer to the expression, this is algebra right
8 0
3 years ago
The owner of a local nightclub has recently surveyed a random sample of 300 customers of the club. She would now like to determi
trapecia [35]

Answer:

0.0416

Step-by-step explanation:

Given :

Sample size, n = 300

Sample mean, x = 35.5

Population mean, m = 35

Standard deviation, s = 5

The test statistic :

Zstatistic = (x - m) / s/sqrt(n)

Zstatistic = (35.5 - 35) / 5/sqrt(300)

Zstatistic = 0.5 / 0.2886751

Zstatistic = 1.732

Using the p value calculator from Zstatistic :

One tailed P value at 95% confidence interval is : 0.0416

6 0
3 years ago
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
Select all that apply.
lord [1]

Answer:

improved mental health

decreased risk of alcohol and drug use

3 0
3 years ago
Read 2 more answers
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