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natita [175]
3 years ago
6

What is the greatest common denominator

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0
3 is the greatest common denominator
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In ΔKLM, m = 5.9 cm, k = 7.1 cm and ∠L=72°. Find the length of l, to the nearest 10th of a centimeter.
Elena L [17]

Answer:

7.7

Step-by-step explanation:

a ^2+b^2=c^2−2bccosA

l^2 = 5.9^2+7.1^2-2(5.9)(7.1)cos 72

4 0
3 years ago
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
1/2x+5=10 what is the number of the variable
ki77a [65]
I think what your asking for is that x=10
7 0
3 years ago
Read 2 more answers
What is the area, in square centimeters, of the isosceles trapezoid below?
Lostsunrise [7]
[(14,7 + 5,9) x 5,8] / 2 = 59,74 cm^2
5 0
3 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Aleksandr-060686 [28]

Answer:

\sqrt{113} = x

Step-by-step explanation:

In right triangles the sum of square length of two legs is equal to square length of hypotenuse:

7^2 + 8^2 = x^2

49 + 64 = x^2 add like terms

113 = x^2 find the root for both sides

\sqrt{113} = x

8 0
2 years ago
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