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3 years ago

The product of two consecutive positive integers is 272. What is the sum of the two integers?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

5 0

Answer:

the sum of two integers is 33

explanation:

the numbers are

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Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probabili

melisa1 [442]

Answer:

$P(\hat p>0.14)$

And using the z score given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

Step-by-step explanation:

For this case we have the proportion of interest given $p =0.12$ . And we have a sample size selected n = 474

The distribution of $\hat p$ is given by:

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

We want to find this probability:

$P(\hat p>0.14)$

And using the z score given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

4 0

3 years ago

Find the missing measures for the rectangle<br> l = _?_<br> w = 4.2 m<br> A = 37.8 m2<br> P = _?_

matrenka [14]

Answer:

l:9

p:16.4

Step-by-step explanation:

l x w = A

A÷w=l

37.8÷4.4=9

2l+2w=P

18+8.4=16.4

4 0

2 years ago

The height of a cylinder is equal to the diameter of the base What expression represents the volume of the cylinder, in cubic un

Sveta_85 [38]

Answer: 3 units

Step-by-step explanation:

the volume of a cone C = πr²h/3

C = 18π, h =2x, r = diameter/2 = 2x/2 =x

18π = π* x²* 2x/3

divide through by π

18 = x² * 2x/3

multiply through by 3

54 = 2x³

divide through by 2

27 = x³

x =∛27 = 3

x = 3 units = radius

4 0

3 years ago

On Tuesday, Gloria spent 25 minutes running. She rode her scooter for 20 minutes and then read a book for 10 minutes. Gloria the

pogonyaev

It would be 2:35 p.m

8 0

3 years ago

Read 2 more answers

The graph of a proportional relationship passes through the points (15,3) and (5,y). Find y.

snow_tiger [21]

Y is equal to 1 because to change 15 into 5 you have to divide by 3. 15/3=5. So you do the same to the other coordinate. Divide 3 by 3 to get 1.

5 0

2 years ago