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3 years ago

Write a two-column proof for the following information.

Mathematics

2 answers:

marysya [2.9K]3 years ago

8 0

Attached the solution and work.

Norma-Jean [14]3 years ago

7 0

Answer:

Given: M is the midpoint of CD

MD=3

Prove: CD=3

Statement: Reason:

1. M is the midpoint of CD 1. Given

2. CM ≅ MD 2. definition of midpoint

3. CM=3 3. Transitive property of congruence

CM=MD & MD=3 then CM=3

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makvit [3.9K]

The answer is A)$25.60

7 0

3 years ago

The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 s

Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2

H1 : u1 ≠ u2

x ( mean ) = 46.77, y ( mean ) = 50.13 ,

s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8

therefore :

Sp^2 = $\frac{n1s1^2 + n2s2^2}{n1 + n2-2}$ = 38.96 ≈ 39

performing test statistic

t = $\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }$ = $\frac{-3.36}{3.0330}$ = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales

5 0

3 years ago

Bella types at a constant rate of 42 words per minute. Is the number of words she can type proportional to the number of minutes

solmaris [256]

Yes, the number of words ARE proportional to the number of minutes she types, away to tell is when it says Bella types at a CONSTANT rate of 42 words per minute. This means for every minute 42 words will be added.

5 0

4 years ago

James has a recipe that uses 1 1/2 cups of brown and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of sugar.

AURORKA [14]

Answer:

Part A: James needs 10 1/2 cups of sugar if he uses all 7 cups of flour

Part B: James will make 72 muffins if he uses all 7 cups of flour

Step-by-step explanation:

*I had an easier time figuring out part B before I figured out part A

PART B:

If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of 2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72

James will get 72 muffins by using 7 cups of flour.

PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.

Hope this helps!!

7 0

3 years ago

(2,4) y=2/5x - 9 write an equations perpendicular to the line represented by y=2/5x-9

MA_775_DIABLO [31]

Answer:

the answer that 9-(2,4)

Step-by-step explanation:

7 0

4 years ago