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Luba_88 [7]
3 years ago
14

Some one help me i cant get it

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(a)

Under a rotation of 180° about the origin

a point (x, y ) → (- x, - y)

the coordinates of P, Q and R are

P(1, -1 ), Q(3, - 2 ), R(3, - 4 )

Hence under the given rotation

P(1, - 1 ) → P'(- 1, 1 )

Q(3, - 2 ) → Q'(- 3, 2 )

R(3, - 4 ) → R'(- 3, 4 )

(b)

Under a reflection in the x-axis

a point (x, y ) → (x, - y ), hence

P(1, - 1 ) → P''(1, 1 )

Q(3, - 2 ) → Q''(3, 2 )

R(3, - 4 ) → R''(3, 4 )


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cricket20 [7]
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the input value in the x column is multiplied by 5 to get the output value in the y column
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What is the solution to the equation 4x-6=10x-3
egoroff_w [7]

Answer:

x = -1/2

Step-by-step explanation:

4x - 6 = 10x - 3

  +6            +6

4x = 10x + 3

-10x   -10x

-6x = 3

/-6    /-6

x = -1/2

8 0
2 years ago
X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to fo
lapo4ka [179]

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

7 0
3 years ago
Jessica owns 1/8 of a company worth $56,000. What is the value of
rosijanka [135]
7000

1/8th in percentage form is 12.5%
12.5% of 56000 is 7000
8 0
3 years ago
A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant​ rate, how long does it take the same
Luba_88 [7]

Answer:

The dog will run the 21-mile race in 4.04 hours

Step-by-step explanation:

The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.

To do this, we can set up a simple relationship:

If he ran 10.5 miles in 2 hours,

He will run x miles in 1 hour

Cross multiplying, we have

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We can now comfortably say that he runs at the rate of 5.2miles/hr

He now goes to the state fair race, which is 21 miles long.

if he runs at the rate of 5.2 miles in 1 hour,

He will run 21 miles in y hours

y = 21 / 5.2 = 4.04 hours

The dog will run the 21-mile race in 4.04 hours

3 0
3 years ago
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