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tensa zangetsu [6.8K]
3 years ago
11

If the sample standard deviation for the number of new vehicles sold per month for a sample of 6 car dealerships is 4.2, what is

the variance for this set of data
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

the variance for this set of data is 17.64

Step-by-step explanation:

The computation of the variance for the set of data is as follows;

The variance is the square of the standard deviation

The standard deviation is 4.2

The variance is

= 4.2^2

= (4.2) (4.2)

= 17.64

Hence, the variance for this set of data is 17.64

Therefore the same is to be considered

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Verdich [7]

Answer:

b)

Step-by-step explanation:

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3 years ago
Given: Quadrilateral DEFG is a parallelogram.
levacccp [35]

Answer:

The correct option is A.

Step-by-step explanation:

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

,

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate, two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

Option A is correct.

8 0
4 years ago
A store is having a sale on walnuts and chocolate chips. For 8 pounds of walnuts and 4 pounds of chocolate chips, the total cost
astra-53 [7]

Answer:

x = $3.50; y = $2.25

Step-by-step explanation:

First, come up with your two equations where x= price of walnuts and y= price of chocolate chips: 8x + 4y = 37 and 3x + 2y = 15. Solve the first equation.

3x + 2y = 15

3x = 15 - 2y

x = (15 - 2y)/3

Plug in the answer to your second equation.

8(15 - 2y)/3 + 4y = 37

(120 - 16y)/3 + 4y = 37

120 - 16y + 12y = 111

120 - 4y = 111

-4y = -9

y = 2.25

Plug in your answer to find <em>x.</em>

3x + 2(2.25) = 15

3x + 4.5 = 15

3x = 10.5

x = 3.5

Check your equation.

1) 3(3.5) + 2(2.25) = 15

10.5 + 4.5 = 15

15 = 15

2) 8(3.5) + 4(2.25) = 37

28 + 9 = 37

37 = 37

4 0
3 years ago
12-2x = -2(y-x) find x pls show me how u did it lol
EastWind [94]

Answer:

12-2x = -2(y-x)

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x =  \frac{12 + 2y}{4}

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6 0
3 years ago
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Isaac keeps track of the amount of money in his savings certificate each month. He has accumulated the following data:
Dafna1 [17]

Answer:

d. The common ratio is 1.1

Step-by-step explanation:

To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).

In this case, since 60.5 - 55 \neq 55 - 50, it has a common ratio.

To find it, we divide consecutive terms. For example:

\frac{55}{50} = 1.1

So the correct answer is:

d. The common ratio is 1.1

3 0
3 years ago
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