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pentagon [3]
3 years ago
14

What is the surface area of the figure?

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer: The surface area is 14

Step-by-step explanation:

The equation should be this

2(1x1) + 2(1x3) + 2(1x3)

then you should have this next

2 + 6 + 6 = 14

:]

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To the nearest hundredth, what is the length of line segment AB ?
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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
2 years ago
Rational number between -1 and 1<br>​
Nonamiya [84]

Answer:

\dfrac{-1}{2}

Step-by-step explanation:

We need to find ration numbers between -1 and 1.

Multiplying and dividing both -1 and 1 by 2.

\dfrac{-1\times 2}{2}=\dfrac{-2}{2}

and \dfrac{1\times 2}{2}=\dfrac{2}{2}

Now, the rational number between -2/2 and 2/2 is \dfrac{-1}{2}.

8 0
2 years ago
Help! I’ll reward brainest its pretty easy
Reil [10]

Answer:

$5250

Step-by-step explanation:

multiply the cost by the number of people

5 0
3 years ago
Read 2 more answers
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