Ask question

Ask question

All categories

-Dominant- [34]

4 years ago

15

The difference of the squares of two positive consecutive even integers is 12. Find the integers. Use the fact that, if x repres

ents an even integer, then x + 2 represents the next consecutive even integer

1 answer:

Lina20 [59]4 years ago

5 0

Answer:

2 and 4.

Step-by-step explanation:

(x+2)^2 - x^2 = 12

x^2 + 4x + 4 - x^2 = 12

4x + 4 = 12

4x = 8

x = 2.

Hence the integers are 2 and 4.

You might be interested in

Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.

lesya [120]

Answer:

0.1994 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851$

P(sample of 20 boxers is more than 167 pounds)

$P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)$

$= 1 - P(z \leq 0.8438)$

Calculation the value from standard normal z table, we have,

$P(x > 167) = 1 - 0.8006= 0.1994 = 19.94\%$

0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds

3 0

3 years ago

The temperature started at<br> -8 degrees. It increased<br> 19 degrees. The<br> temperature is now??

Aleks [24]

Answer:

11 degrees

Step-by-step explanation:

Starting from -8 and counting upwards towards 0 then on to 19

-8 , -7 , -6 , -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19

3 0

3 years ago

HELP!!! Which of the following sequences has a common ratio?

Otrada [13]

12, 4, 4/3 has a common ratio.

7 0

4 years ago

You ride your bike to your friend's house after school. To get there, you bike due south for 6 miles and then due east for 4.5 m

lora16 [44]

The answer really 27 but if you round it, its 30

7 0

3 years ago

Read 2 more answers

How can you 24 with the numbers 6,6,2,1

Andreas93 [3]

Add 6 + 6 = 12

Multiple 12 * 2 = 24

Multiple 24 * 1 = 24

5 0

3 years ago