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2 years ago

Which segment is the image of AB when rotated 90° counterclockwise around point P?

Mathematics

1 answer:

steposvetlana [31]2 years ago

6 0

Answer:

Step-by-step explanation:

I hope it is helpfull!

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

Nikolay [14]

Answer:

0.0359

Step-by-step explanation:

Data provided:

mean values of three independent times are 15, 30, and 20 minutes

the standard deviations are 2, 1, and 1.6 minutes

Now,

New Mean = 15 + 30 + 25 = 65

Variance = ( standard deviation )²

Variance = 2² + 1² + 1.6² = 7.56

therefore,

Standard deviation = √variance

Standard deviation = 2.75

Thus,

Z-value = $\frac{\textup{60 - 65}}{\textup{2.75}}$

Z-value = - 1.81

from the Z-table

the Probability of Z ≤ -1.81 = 0.0359

6 0

2 years ago

Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF

sergejj [24]

Answer: Answer is 3

BC 6

------ = ------

XY 3

Step-by-step explanation:

The statements below can be used to prove that the triangles are similar.

On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.

A B Over X Y = 4 Over 2

A C Over X Z = 52 Over 13

△ABC ~ △XYZ by the SSS similarity theorem.

Which mathematical statement is missing?

1. Y Z Over B C = 6 Over 3

2. ∠B ≅ ∠Y

3. B C Over Y Z = 6 Over 3

4. ∠B ≅ ∠Z

5 0

2 years ago

Read 2 more answers

solve this system of linear equations separate the x and y values with a comma -14x=-7-7y -10x=-15-7y

gizmo_the_mogwai [7]

X=7/4+7/4y ,y∈ (One symbol I can't find but that's what I got)

7 0

2 years ago

Read 2 more answers

A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif

VashaNatasha [74]

Answer:

(A)

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

For any $x$ you are looking for the probability $P(X \geq x)$ which is

$P(X \geq x) = \int\limits_{-\infty}^{x} 1.25(1-t^4) dt = \int\limits_{0}^{x} 1.25(1-t^4) dt = 1.25x - 0.25x^2$

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

5 0

2 years ago

Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?

DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= $x + (x-6) = 2x-6$

The total score is given to be 156.

Thus, the equation becomes,

$2x-6 = 156$

$2x= 162$

$x = 81$

<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>

5 0

2 years ago