All categories

3 years ago

The difference of the squares of two consecutive odd integers is 24. find the integers

Mathematics

1 answer:

marysya [2.9K]3 years ago

3 0

The two integers are 7 and 5, 7*7=49, 5*5=25, 49-25=24

You might be interested in

Help plsssssssssssssss

Tanzania [10]

Answer:

(- 2, - 5)

Step-by-step explanation:

The solution to the linear system is the point of intersection of the lines.

This point is

(- 2, - 5)

7 0

2 years ago

Fourth-eight is what percent of 60

dsp73

48 is 80% of 60

48 of 60 can be written as 48/60

Multiply both the numerator and the denominator by 100
48/60 · 100/100 = 80/100 = .8 = 80%

If you are using a calculator, simply enter 48 ÷ 60 · 100 which will give you 80 as the answer.

6 0

2 years ago

Read 2 more answers

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

HELP! ASAP! What is the measure of ∠A? What is the measure of ∠B?

olganol [36]

The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

3 0

3 years ago

Read 2 more answers

Which graph has an amplitude of 1/2?

Serjik [45]

Answer:

Step-by-step explanation:

The only graph shown in the question doesn't have amplitude 1/2. look for a graph of a periodic wave function that has maximum y-value 1/2 (0.5) and minimum y-value 1/2 (0.5), or if it is not oscillating around the x-axis, verifies that the distance between minimum y-value and maximum y-value is "1" (one). This is because the amplitude is half of the peak-to-peak distance.

Look at the attached image as example.

8 0

2 years ago