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2 years ago

Which best describes the scale factor for each dilation?

Mathematics

2 answers:

Dennis_Churaev [7]2 years ago

7 0

Answer:

Dilation 1 has a scale factor

between 0 and 1

Dilation 2 has a scale factor

greater than 1

Dilation 3 has a scale factor

equal to 1

Step-by-step explanation:

I hope I helped with the question

Mekhanik [1.2K]2 years ago

5 0

Answer:

dilation 3 has a scale factor

You might be interested in

Calculate the slope of the line through the points M(-2, -1) and N(0, -13).

galina1969 [7]

Answer:-6

Step-by-step explanation:

to solve for slope, you have to do (y1-y2)/(x1-x2)

in this problem, that turns into (-1-(-13))/(-2-0)

which is (-1+13)/(-2-0) which is 12/-2 which is -6, your answer

6 0

3 years ago

You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e

victus00 [196]

You intend to estimate a population mean μ from the following sample. 26.2 27.7 8.6 3.8 11.6 You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.

Answer:

The Confidence interval = (8.98 , 22.18)

Step-by-step explanation:

From the given information:

mean = $\dfrac{ 26.2+ 27.7+ 8.6+ 3.8 +11.6 }{5}$

mean = 15.58

the standard deviation $\sigma$ = $\sqrt{\dfrac{\sum(x_i - \mu)^2 }{n}}$

the standard deviation = $\sqrt{\dfrac{(26.2 - 15.58)^2 +(27.7 - 15.58)^2 +(8.6 - 15.58)^2 + (3.8 - 15.58)^2 + (11.6 - 15.58)^2 }{5 } }$

standard deviation = 9.62297

Degrees of freedom df = n-1

Degrees of freedom df = 5 - 1

Degrees of freedom df = 4

For df at 4 and 80% confidence level, the critical value t from t table = 1.533

The Margin of Error M.O.E = $t \times \dfrac{\sigma}{\sqrt{n}}$

The Margin of Error M.O.E = $1.533 \times \dfrac{9.62297}{\sqrt{5}}$

The Margin of Error M.O.E = $1.533 \times 4.3035$

The Margin of Error M.O.E = 6.60

The Confidence interval = ( $\mu \pm M.O.E$ )

The Confidence interval = ( $\mu + M.O.E$ , $\mu - M.O.E$ )

The Confidence interval = ( 15.58 - 6.60 , 15.58 + 6.60)

The Confidence interval = (8.98 , 22.18)

7 0

3 years ago

Two piecewise functions are shown below. What is the value of

gizmo_the_mogwai [7]

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

3 0

1 year ago

What is the area of the triangle

Anna11 [10]

Answer:

Step-by-step explanation:

1. The area of triangle is = (A*h)/2, where h is the height grounded on side A.

2. Given the height 5 and the side 4 we get S(area)=(5*4)/2=10.

4 0

3 years ago

What is the value of the expression 4rs if r = -1/3 and s = 7/8

Brut [27]

1 and 1/6 is the correct answer because 4/1 multiplied by 1/3 is 4/3. 4/3 multiplied by 7/8 is 28/24 or 1 and 4/24, which can be simplified down to 1 and 1/6.

6 0

2 years ago