(GRAPH BELOW)

Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

Answer:

The tap drains approximately half the water from the tank in 15 minutes

The tank initially has 50 gallons of water

Step-by-step explanation:

The tap drains approximately half the water from the tank in 15 minutes. True.

This is true because see that the point (15,25) lies on the graph of the line.

Which means after 15 minutes the amount of water left in the tank is 25 gallons and 25 is half of 50.

The tap drains exactly one gallon from the tank every minute. False

This is false because the slope of the graph is $m=\frac{50-25}{0-15}=-\frac{5}{3}$

The tank initially has 30 gallons of water. False.

The y-intercept is the initial gallons of water which is 50.

The tank initially has 50 gallons of water. True.

The y-intercept is the initial gallons of water which is 50.

The tank takes 50 minutes to drain completely. False.

It is false because the x-intercept tells us the tank is drained completely and it is not 50 minutes but rather 30 minutes.

You might be interested in

I'm totally lost on this. Can anyone help?

crimeas [40]

First you write down the number of sides that it has.

Let "n" represent the number of sides.

So you have a hexagon which of course is 6 sides.

The next step is to find the SUM of Interior Angles which is (n-2) x 180
So 6 - 2 is 4 and x 180 = 720

The last step is to divide by the original number of sides the polygon has. So since a hexagon has 6 sides, you'd do 720 / 6 =120

Your answer is 120

3 0

3 years ago

A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation

natulia [17]

Answer:

a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish

b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .