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3 years ago

I don't get it- can someone explain

Mathematics

1 answer:

labwork [276]3 years ago

8 0

Answer:

11 4-passenger cars

Step-by-step explanation:

let 'x' represent the number of 4-passenger cars,then 'x-3' represent the number of 6-passenger cars.

92=4x+6(x-3)

92=4x+6x-18

92=10x-18

92+18=10x

110=10x

x=110/10

x=11

Therefore there are 11 4-passenger cars

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Benjamin drives 60 miles every hour. He drives 180 miles to his uncles house.

cricket20 [7]

Answer:

wouldnt it be 3 hours of driving

Step-by-step explanation:

60*3=180

sorry if im wrong

4 0

3 years ago

A machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The tar

Lina20 [59]

Answer:

The probability that the quality control manager will shut down the machine is 0.0002.

Step-by-step explanation:

We are given that a machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The target mean fill volume is µ = 2.0 liters.

A quality control manager obtains a random sample of 50 bottles. He will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

Let $\bar X$ = sample mean fill volume

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean fill volume = 2 liters

$\sigma$ = standard deviation = 0.05 liters

n = sample of bottles = 50

Now, it is provided that he will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

So, Probability that the sample of these 50 bottles is less than 1.95 is given by = P( $\bar X$ < 1.95)

P( $\bar X$ < 1.95) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{1.95-2}{\frac{0.05}{\sqrt{50} } }$ ) = P(Z < -7.07) = 1 - P(Z $\leq$ 7.07)

= 1 - 0.9999 = 0.0001

Probability that the sample of these 50 bottles is greater than 2.1 is given by = P( $\bar X$ > 2.1)

P( $\bar X$ > 2.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{2.1-2}{\frac{0.05}{\sqrt{50} } }$ ) = P(Z > 14.14) = 1 - P(Z < 14.14)

= 1 - 0.9999 = 0.0001

Because the highest critical value in the z table is given as x = 4.40 for area of 0.99999.

Therefore, probability that the quality control manager will shut down the machine = 2 $\times$ 0.0001 = 0.0002.

4 0

2 years ago

Jimmy has $100 and would like to buy lottery tickets. Each ticket is $5 dollars. Jimmy finds that the equation for his situation

Snowcat [4.5K]

Answer: False wouldn't it be -100 dollars if hes buying something. Correct me if im wrong.

5 0

3 years ago

Paige DeMarco is the Vice President for University Advancement at State University. She is responsible for the capital campaign

boyakko [2]

Answer:

Option d (convenience sample) is the right solution.

Step-by-step explanation:

An unlikely sample wherein the investigator chooses such individuals closest and therefore most approachable for the particular investigation, would be termed as a Convenience sample.
It's a way to gather information or data with the use of sampling advantageously positioned around a place or broadband internet.

All other alternatives aren't related to the given scenario. So the above option is correct.

6 0

2 years ago

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Masja [62]

Answer:

Your answer is

B. C. And. E

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6 0

2 years ago