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3 years ago

Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?

1 answer:

8 0

A ( - 4, 2)
Reflected over x = 3.
x = 3 is a vertical line, the point (-4, 2) is 7 units on the left side of the vertical line. When you reflect across the line to the right side we need to be 7 units away from the vertical line on the right side. 3 + 7 = 10
The x value would be 10. (10, 2)
LETTER D

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Please help meee with my math i am so confused!!! Thank youuuu

Rudik [331]

Answer:

Step-by-step explanation:

x decreases w/o bound, so x becomes a very large -ve no.

f(x)=5^(x-1) becomes 5^(large -ve no.) which will be almost zero

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if u provide wat the choices are from ur Q in comments, i will pick the right one 4 u

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3 years ago

Read 2 more answers

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago

An electrician charges Mr. Speer $300 before sales tax, for wiring his home. (a) What is the amount of sales tax that Mr. Speer

PilotLPTM [1.2K]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete as you didn't give the sales tax percent. In order to solve the question, let's assume that the sales tax is 6%.

(a) What is the amount of sales tax that Mr. Speer has to pay?

This will be:

= Sales tax percent × Amount charged

= 6% × $300

= 6/100 × $300

= 0.06 × $300

= $18

The sale tax is $18

(b) What is the total amount Mr. Speer has to pay?.

The total amount will be the addition of the amount charged and the sales tax. This will be:

= $300 + $18

= $318

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3 years ago

At a 3-mile cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the athlete's average speed?

Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

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3 years ago

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Marta_Voda [28]

42 km/h is equal to 0.00724933 m/s

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3 years ago