If the points below represent a direct variation, find the missing value (5,14)and (x,28)

Solve these questions

Lelu [443]

Answer:

1= 15

2=false

Step-by-step explanation:

1=45 divided by 3

2= it isn't true so it IS false

5 0

3 years ago

Read 2 more answers

There are red, yellow, blue and green counters in a bag. The probability of picking red is 0.25. The probability of picking yell

aev [14]

Answer:

The probability of picking a green is 0.4

Step-by-step explanation:

Mathematically, when we talk of the highest possibility an event can have, we have the answer as 1

Hence, when we add up all the probabilities, it is expected that we arrive at a value equal to 1

Thus, the probability of selecting each individual colors add up to 1

since we have the probability of three colors, the probability of the fourth will be the sum of the others subtracted from 1

we have the probability of picking a green as;

1 - 0.25 - 0.15 - 0.2 = 0.4

3 0

3 years ago

A random sample of 500 of these people is drawn, of whom 194 turn out to be currently enrolled in college. Estimate the percenta

Rzqust [24]

Answer:

$0.388 - 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.344$

$0.388 + 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.432$

The 95.5% confidence interval would be given by (0.344;0.432)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated proportion on this case is given by:

$p = \frac{X}{n}= \frac{194}{500}=0.388$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95.5% of confidence, our significance level would be given by $\alpha=1-0.955=0.045$ and $\alpha/2 =0.0225$ . And the critical value would be given by: