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3 years ago

A segment is dilated by a factor of 2.5 and the resulting segment is parallel to the original segment.

Mathematics

1 answer:

meriva3 years ago

3 0

Answer:

The center of dilation is not on the original segment.

Step-by-step explanation:

The center of dilation is the only invariant point. If the original segment and the dilated segment have no points in common (are parallel), then the center of dilation cannot be on either the original segment or the dilated segment.

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100 fifth graders are going on a field trip by buses. Each bus holds 24 students. How many buses will they need to take all fift

babunello [35]

Answer:

Step-by-step explanation:

24×4=96

96+4=100 students

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3 years ago

John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach i

MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

$2.7 million
$2.4 million
$2.2 million
$2 million
$1.5 million
$1.5 million
$0.5 million
$0.5 million
$0.2 million
$0.1 million

sample mean = $1.36 million

the standard deviation:

$2.7 million - $1.36 million = 1.34² = 1.7956
$2.4 million - $1.36 million = 1.04² = 1.0816
$2.2 million - $1.36 million = 0.84² = 0.7056
$2 million - $1.36 million = 0.64² = 0.4096
$1.5 million - $1.36 million = 0.14² = 0.0196
$1.5 million - $1.36 million = 0.14² = 0.0196
$0.5 million - $1.36 million = -0.86² = 0.7396
$0.5 million - $1.36 million = -0.86² = 0.7396
$0.2 million - $1.36 million = -1.16² = 1.3456
$0.1 million - $1.36 million = -1.26² = 1.5876
total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

7 0

3 years ago

253,761 In Expanded Form .

Irina18 [472]

2 hundred thousands
5 ten thousands
3 thousands
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6 0

3 years ago

What is the boundary line for the linear inequality 4x + 2y < 18?

Cloud [144]

Answer:

Simplifying

x = 4.5 + -0.5y

Step-by-step explanation:

4 0

3 years ago

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

Darya [45]

Answer:

(1 $\frac{1}{3}$ , 2 $\frac{1}{3}$ )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = $\frac{20}{15}$ = $\frac{4}{3}$ = 1 $\frac{1}{3}$

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

$\frac{4}{3}$ + 2y = 6

2y = 6 - $\frac{4}{3}$ = $\frac{14}{3}$ ( divide both sides by 2 )

y = $\frac{7}{3}$ = 2 $\frac{1}{3}$

7 0

3 years ago