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3 years ago

The image of the point (-3, 8) under a translation is (1, 10). Find the coordinates of

Mathematics

1 answer:

Dafna11 [192]3 years ago

3 0

Answer:

(9, - 2 )

Step-by-step explanation:

Given (- 3, 8 ) → (1, 10 )

That is the x- coordinate of the image is 4 more than the original.

The y- coordinate of the image is 2 more than the original, so

Translation rule is (x, y ) → (x + 4, y + 2 ), thus

(5, - 4 ) → (5 + 4, - 4 + 2 ) → (9, - 2 )

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3 years ago

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Pavel [41]

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3 years ago

4x + 108 = 144 what is the value of x

ivann1987 [24]

Here is the correct answer.

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3 years ago

Read 2 more answers

Average precipitation for the first 7 months of the year, the average precipitation in toledo, ohio, is 19.32 inches. if the ave

Colt1911 [192]

Part A:

The probability that a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

$P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\sigma}\right)$

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>a randomly selected year will have precipitation greater than 18 inches for the first 7 months is given by:

$P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{2.44}\right) \\ \\ =1-P(z\ \textless \ -0.5410) \\ \\ =1-0.29426=\bold{0.7057}$

Part B:

</span>The probability that an n randomly selected samples of a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

$P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\frac{\sigma}{\sqrt{n}}}\right)$

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>5 randomly selected years will have precipitation greater than 18 inches for the first 7 months is given by:

</span> $P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{\frac{2.44}{\sqrt{5}}}\right) \\ \\ =1-P(z\ \textless \ -1.210) \\ \\ =1-0.1132=\bold{0.8868}$

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3 years ago

. If Henry plays both games conservatively (CC), find the probability that Henry will earn

larisa86 [58]

Answer:

a) 2/2 + 2/2 = 2

b) 2/2 + 1/2 = 3/2

c) 2/2 + 0/2 = 1

d) 0/2 + 0/2 = 0

Step-by-step explanation:

a) 2 points : 2/2 + 2/2 = 2

if henry wins both games than we get probability =2

b) 1 1/2 or 3/2 : 2/2 + 1/2 = 3/2

if henry wins one game and tie another game we get probability =3/2

c) 1 point: 2/2 + 0/2 = 1

if henry wins one game and loose second game, we get probability 1

d) 0 points: 0/2 + 0/2 = 0

if henry loose both games we get probability 0

4 0

3 years ago

Read 2 more answers