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3 years ago

Trapezoid JKLM is shown on the coordinate plane below:

Mathematics

2 answers:

natulia [17]3 years ago

8 0

trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3)
 the coordinates of point L' are
 (-2, -5) → (-2 + 8, -5 − 3)
(6, -8)
the answer is
 d. (6, −8)

bonufazy [111]3 years ago

4 0

Answer:

The correct option is d. (6, −8)

Step-by-step explanation:

In provided figure trapezoid is JKLM and vertices of L is (-2,-5)

Given trapezoid JKLM is translated according to the rule:

(x, y) → (x + 8, y − 3)

The coordinates of point L' are:

According to translated rule (x, y) → (x + 8, y − 3)

put (-2, -5) in above translation,

(-2, -5) → (-2 + 8, -5 − 3)=(6, -8)

Hence, solution is (6, -8)

Therefore, the correct option is d. (6, −8)

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A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

natka813 [3]

Answer:

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.

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3 years ago

About 3% of the population has a particular genetic mutation. 600 people are randomly selected.

Annette [7]

Answer:

Standard deviation for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or 0.03

Let 'X' be the random variable in binomial distribution

Mean of the binomial distribution

μ = n p

= 600 X 0.03

= 18

Mean of the binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

σ = $\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178$

Conclusion:-

Standard deviation for the number of people with the genetic mutation = 4.178

8 0

3 years ago

What is the length of AC?

svlad2 [7]

Answer:

x=1

Step-by-step explanation:

x is always =1 so add them

3 0

3 years ago

Write an equation of the line that is perpendicular to y = 1/2

atroni [7]

Answer:

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

= -5 = -2x + 15

Step-by-step explanation:

Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).

Using the slope intercept equation,

y = mx +c

m = slope = 1/2

For two lines to be perpendicular, the product of their slopes is -1

Let the slope of the other line be m2

m1×m2 =-1

1/2×m2 = -1

m2 = -1/(1/2) = -2

Slope of line = -2

For points (10, -5), x = 10, y =-5

-5 = -2× 10 +c

-5 = -20+ c

c = -5+20= 15

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

-5 = -2x + 15

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3 years ago

9. If J= 12, what is J/3 + 3?

3241004551 [841]

Answer: the answer is 7.

Step-by-step explanation:

you take 12, divide it by 3 to get 4, then you add 3 to get 7.

6 0

3 years ago

Read 2 more answers