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8090 [49]
3 years ago
9

Simplify the expression (2h+1)(8)

Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

16h+8

Step-by-step explanation:

(2h+1)(8)

Multiply 8 with 2h and 1

16h+8

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A study was conducted to determine if the salaries of elementary school teachers from two neighboring districts were equal. A sa
Semenov [28]

Answer:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

(–2975, 175)

Do not reject H₀

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the salaries of elementary school teachers are equal in two districts. You can test this trough the population means of the salaries of the teachers if they are either equal or different or directly test if the difference between the salaries of the two districts is cero or not, symbolically: μ₁ - μ₂ = 0

Remember, in the null hypothesis is usually stated the known information, is the "no change" premise and always carries the = symbol.

The hypothesis is:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

You have two normally distributed variables and you are studying the difference of the means. You can use a pooled Z to make the interval, the formula is:

X[bar]₁-X[bar]₂ ± Z_{1-\alpha /2}*(√(σ₁²/n₁+σ₂²/n₂)

Since the test is two-tailed and at a signification level of 5% I've made the interval at the complementary confidence level of 95% so that I can use it to decide over the hypothesis.

X[bar]₁-X[bar]₂ ± Z_{1-\alpha /2}*(√(σ₁²/n₁+σ₂²/n₂)

Z_{1-\alpha /2} = Z_{0,975} = 1,96

[28900-30300 ± 1.96*(√((2300)²/15+(2100)²/15)]

[-1400 ± 1576,15]

[-2976.15;176,15]

Since I've approximated to two decimal units in the intermediate calculations, the values ​​differ slightly, but the interval is:

(–2975, 175)Now, since the 0 is contained in the Confidence interval, the decision is to not reject the null hypothesis. In other words, the difference in average salaries between the two districts is cero.

I hope it helps!

4 0
3 years ago
Simplify completely quantity 6 x minus 12 over 10.
Natali [406]
Hey! 
So we have 6 multiplied by -12 and that is over 10
so we are multiplying a positive number by a negative number. When you do that the answer will be a negative number. 
Now we have -72/10
we can simplify that more
divide the numerator and denominator by 2 because that is the largest number that is divisible by both number
now it is -36/5
The answer is -36/5
Hope this helps!
8 0
3 years ago
Solve for x 11^x/11^3=11^2 PPEASE I HAVE AN F
dimaraw [331]
Answer is x=5
It is right
4 0
2 years ago
Classify each angle pair. if the angles do not have a special relationship, write " no relationship".
Phoenix [80]

Answer:

This is so tricky to do!!!!!

7 0
2 years ago
I need help with this question
Murljashka [212]
It is the third on down

4 0
3 years ago
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