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2 years ago

The base length of a parallelogram is multiplied by 5. Which of the following describes the effect of this change on the area?

Mathematics

1 answer:

rodikova [14]2 years ago

3 0

If the height is kept the same, then the area is multiplied by 5.

For example, let's say we had a parallelogram with the properties of:

base = 2
height = 3

The area would be base*height = 2*3 = 6 square units.

If we kept the height at 3 units, but multiplied the base by 5, then the base is now 2*5 = 10. The new area is base*height = 10*3 = 30 which is exactly 5 times larger than the old area

new area = 5*(old area)

new area = 5*(6)

new area = 30 square units

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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and

IRINA_888 [86]

Answer:

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

Step-by-step explanation:

Explanation:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

Let 'X' = 73

$Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2$

Let 'X' = 84

$Z = \frac{84-51}{11} = 3$

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = P( 2 < Z < 3)

= P( Z<3) - P( Z <2)

= 0.5 + A(3) - ( 0.5 + A(2))

= A(3) - A( 2)

= 0.49865 - 0.4772 ( From Normal table)

= 0.02145

P( 73 < x < 84 ) = 0.02145

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

7 0

4 years ago

What is the population standard deviation of this data set?*

Minchanka [31]

Answer:

C) 2

Step-by-step explanation:

step 1: Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3; 3² = 9

5-4 = 1; 1² = 1

5-5 = 0; 0² = 0

5-7 = -2; (-2²) = 4

5-8 = -3; (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

$\sqrt{4}$ = 2

5 0

3 years ago

At the city museum, child admission is $5.30 and adult admission is $9.60. On Thursday, 117 tickets were sold for a total sales

ExtremeBDS [4]

The answer is 160 children’s tickets were sold that day

6 0

3 years ago

X2 + 3x + 2 What is the factor?

musickatia [10]

Answer: (x+1)(x+2)
step by step explanation:

3 0

3 years ago

The graph represents the data cost for monthly internet service for a cell phone. Which function, C(x), respresent the monthly c

Tanya [424]

Answer:

Correct option: first one

Step-by-step explanation:

The graph has 3 different parts:

Cost = 15 when the Gigabytes used is lesser than or equal 2,

Cost from 20 to 40 when the Gigabytes used is greater than 2 and lesser than or equal 6.

An increase of 4 gigabytes caused an increase of 20 in the cost, so the slope is 20/4 = 5, and the y-intercept is:

20 = 5*2 + b -> b = 10

Cost = 50 when the Gigabytes used is greater than 6.

So the correct option is the first one

3 0

4 years ago