Which of the following points are solutions to the equation 3x - 4y

PLEASE HELP ILL GIVE BRAINLY <br><br><br> True or false: you can collect data yourself?

cluponka [151]

Answer:

true

Step-by-step explanation:

7 0

3 years ago

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Mary is three times as old as her son. In 12 years Mary will be twice as old as her son. How old is each of them now? ANSWER QUI

BartSMP [9]

Mary is 36 and her son is 12

m=3s

m+12=2s+24

12= -s+24

s=12

3 0

3 years ago

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A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip to

notka56 [123]

Answer:

Average speed is 48 km per hour

Step-by-step explanation:

A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr

Distance traveled is 16 km and the time taken is 20 minutes

convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes

$\frac{20}{60} =\frac{1}{3}$

so time = 1/3 and distance = 16

Average speed = distance by time

$speed =\frac{16}{\frac{1}{3} } =\frac{48}{1}= 48$

Average speed is 48 km per hour

4 0

3 years ago

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The variance of the binomial distribution is:

$V(X) = np(1-p)$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

64 questions.

So $n = 64$

5 possible answers, one correctly, chosen at random:

So $p = \frac{1}{5} = 0.2$

(a) What is your expected score on the exam?

$E(X) = np = 64*0.2 = 12.8$

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

$V(X) = np(1-p) = 64*0.2*0.8 = 10.24$

Variance 10.24

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2$

Standard deviation 3.2

5 0

3 years ago

a group of astronauts launched a model rocket from a platform. Its flight path is modeled by h= -4t^2+24t+13 where h is the heig

Eddi Din [679]

Answer:

6.5 seconds

Step-by-step explanation:

Keep in mind that when $h=0$ , this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

$h=-4t^2+24t+13\\\\0=-4t^2+24t+13\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-24\pm\sqrt{24^2-4(-4)(13)}}{2(-4)}\\ \\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{784}}{-8}\\\\t=\frac{-24\pm28}{-8}\\\\t=\frac{-24-28}{-8}\\ \\t=\frac{-52}{-8}\\ \\t=\frac{52}{8}\\\\t=6.5$

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds

5 0

3 years ago

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Which of the following points are solutions to the equation 3x - 4y - 8 = 12?