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charle [14.2K]
2 years ago
11

AB is a midsegment of trapezoid DEFG what is x?

Mathematics
1 answer:
Mamont248 [21]2 years ago
5 0

Answer:

D. 2

Step-by-step explanation:

DEFG is a trapezoid and AB is its Midsegment.

Therefore,

AB =\frac{1}{2}(DG + EF)  \\  \\ 12 =  \frac{1}{2} (5x - 4 + 8x + 2) \\  \\ 12  \times 2= (13x - 2) \\  \\ 24 = 13x - 2 \\  \\ 24 + 2 = 13x \\  \\ 26 = 13x \\  \\ x =  \frac{26}{13}  \\  \\ x = 2

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A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men
jarptica [38.1K]

Answer:

87.29%

Step-by-step explanation:

Given: Mean= 68.8 inches

           Standard deviation= 2.8 inches

           

Now, finding the percent of the men in the sample were greater than 72 inches.

We know, z-score= \frac{x-mean}{standard\ deviation}

z-score= \frac{72-68.8}{2.8}

⇒ z-score= \frac{3.2}{2.8} = 1.14

∴ z-score= 1.14

Next, using normal distribution table to find percentage.

Coverting 0.8729 into percentage= 0.8729\times 100

We get the percentage as 87.29%

Hence, 87.29% of the men in the sample were greater than 72 inches.

6 0
3 years ago
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Temka [501]
Rational numbers are numbers that can be turned into a fraction. They can be negative or positive.
Integers are whole numbers. They can be negative or positive. 

Numbers such as 0.10 are rational because they can be turned into a fraction
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8 0
2 years ago
Please help!
vesna_86 [32]

Answer:

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Step-by-step explanation:

4 0
2 years ago
What is the answer for this algebra question 4(2n-5)=3n+10
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4(2n-5)=3n+10\\\\
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A store asked 250 of its customers whether or not they were satisfied with the service. The responses were also classified accor
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Answer:

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Step-by-step explanation:

In this case the store wants to see whether there is a relationship between the satisfaction level of the customer and their gender.

In statistics when there is a need to analyze or derive a relation between two categorical variables one should use a two-way table.

Categorical variables are qualitative variables that take on specific values that are usually labels. For example, grades obtained in an exam, gender, etc.

In this case the two categorical variables are: Gender and Satisfaction level.

To study the relation between the gender of a customer and their satisfaction level use a two-way table.

 

3 0
2 years ago
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