All categories

2 years ago

The sum of two numbers is seventeen. Three less than three times the smaller is equal to the larger

1 answer:

8 0

The numbers are 5 and 12.
Smaller number = x
Larger number = y
x +y =17
y = 3x - 3
x +3x -3 = 17
4x = 20
x = 5
smaller number is 5
y = 3(5) - 3
y = 12
larger number is 12.

You might be interested in

An isosceles triangle has two angles both equal to x°. The third angle is 60° bigger than either of these. Find the value of x°.

Elina [12.6K]

X+x+(x+60)=180
3x+60=180
3x=120
x=40

5 0

3 years ago

In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the

anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.82, n = 225$ .

$\mu = 0.82$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256$

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

7 0

2 years ago

Read 2 more answers

What are all of the x-intercepts of the continuous function in the table? (0, 8) (–4, 0) (–4, 0), (4, 0) (–4, 0), (0, 8), (4, 0)

dusya [7]

The answer would be (–4, 0) (–4, 0), (4, 0) (–4, 0) and (4, 0)

You would be looking for anything that is on the X access on the coordinate plan, so it would somewhat have to be a straight line, the way you can find that is (x, y) so whatever is in X will be your answer!

3 0

2 years ago

Read 2 more answers

The line of reflection is the ____. y-axis, center of rotation, x-axis

nydimaria [60]

Answer:The line of reflection is the y axis

Step-by-step explanation:

8 0

2 years ago

Marie has 50 pages in her notebook. She made a graph of the kinds of writing on all of the pages she has

MissTica

Answer:

Step-by-step explanation:

50 - 2-3-6-3-5 = 31

4 0

2 years ago