All categories

3 years ago

Write an equation that represents the following:

Mathematics

2 answers:

aleksley [76]3 years ago

5 0

Answer:

(o+y) + 3y = 61

to solve divide by 5 because there is 4 younger sister age + 1 for the older sister. 61-1=60. we subtract because the sister is older by 1 year

60/5=12 so the younger sister is 12

(13+12) + 36 = 61

Consecutive means in order like 3,4,5 or 11,12,13

Hope this helps

Step-by-step explanation:

nata0808 [166]3 years ago

3 0

Answer:

y+3x=61

Step-by-step explanation:

idk i tried......

You might be interested in

Thirty-seven percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4,

lesantik [10]

Answer:

a) The sampling distribution for n=540 has a mean sample proportion of p=0.37 and a standard deviation of σs=0.0208.

b) probability = 0.99998

d) probability = 0.99874

e) You gain 0.12% in probability for an increase of 80% in sample size.

The increase in sample size is not justified by the increase in probability, for this margin of error (Δp=0.09).

Step-by-step explanation:

a) We have a known population proportion π=0.37 and we have to describe the sampling distribution when the sample size is n=540.

The mean sample proportion is expected to be the same as the population proportion:

$\bar p = \pi = 0.37$

The standard deviation of the sampling will be the population standard deviation divided by the square root of the sample size:

$\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.37*0.63}{540}}=\sqrt{0.000431667}=0.0208$

Then, we can say that the sampling distribution will have a p=0.37 and a standard deviation σs=0.0208.

b) We have to calculate the probability that the sample proportion will be within 0.09 of the population proportion.

We can calculate the z-value as:

$z_1=\dfrac{p_1-\bar p}{\sigma_s}=\dfrac{0.09}{0.0208}=4.3269\\\\\\z_2=\dfrac{p_2-\bar p}{\sigma_s}=\dfrac{-0.09}{0.0208}=-4.3269$

As the distribution is symmetrical, we can calculate the probabilty that he sample proportion will be within 0.09 of the population proportion as:

$P(|p-\bar p|$

probability = 0.99998

d. Now the sample is smaller (n=300), so the standard deviation of the samping distribution:

$\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.37*0.63}{300}}=\sqrt{0.000777}=0.0279$

We have to recalculate the z-scores:

$z_1=\dfrac{p_1-\bar p}{\sigma_s}=\dfrac{0.09}{0.0279}=3.2258\\\\\\z_2=\dfrac{p_2-\bar p}{\sigma_s}=\dfrac{-0.09}{0.0279}=-3.2258$

And the probability is:

$P(|p-\bar p|$

probability = 0.99874

e. The increase in sample size is 80%

$\Delta n\%=\dfrac{n_1}{n_2}-1=\dfrac{540}{300}-1=1.8-1=0.8=80\%$

and the increase in probability is 0.12%

$\Delta P\%=\dfrac{P_1}{P_2}-1=\dfrac{0.99998}{0.99874}-1=1.0012-1=0.0012=0.12\%$

You gain 0.12% in probability for an increase of 80% in sample size.

The increase in sample size is not justified by the increase in probability, for this margin of error (Δp=0.09).

7 0

3 years ago

Your sister is considering two different shapes for her garden. One is a square with side lengths of 3.5 meter, and the other is

Bess [88]

Hello! I can help you with this!

A. Okay. So, to find the area of the square all you have to do is the number square, or multiply the number by itself, in this case. 3.5. 3.5^2 is 12.25. The area of the square is 12.25 square meters large.

B. To find the area of the circle, you do pi*r^2. Radius is half the the diameter. Half of 4 is 2. 2^2 is 4. To multiply by pi, we can just do it as 3.14. 4 * 3.14 is 12.56. The circle is 12.56 square meters large.

C. The circle garden would give her the most space to plant, because 12.56 is larger than 12.25 by 0.31. The circle garden 0.31 square meters larger than the square garden.

3 0

3 years ago

PLEASE HELP ME ON 10. PLEASE IM TIMED AND MY TEACHER IS GOING TO SUBMIT IT

Nataly [62]

Answer:

I cant see it that well

3 0

3 years ago

ind the volume of the pyramid, if the base is a square with the side 3.5 cm and height of the pyramid is 1.5 cm

Makovka662 [10]

Answer:

The volume of the pyramid is $6.125\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base of the pyramid

h is the height of the pyramid

$B=3.5^{2}= 12.25\ cm^{2}$

we have

$h=1.5\ cm$

substitute

$V=\frac{1}{3}(12.25)(1.5)$

$V=6.125\ cm^{3}$

6 0

4 years ago

Please can someone help me please

Tomtit [17]

You can use variables to solve this problem. Lets say that m is men, w is women, and c is children. m+w+c=266
four times as many men as children in ‘math words’ would be 4c=m
twice as many women as children would be 2c=w
what we can do now is plug those in to make everything easier with one variable
4c+2c+c=266
7c=266
c=38 now we have how many children, and we need to plug it back into what we have for women and men.
4c=m 4(38)=m m=152
2c=w 2(38)=w w=76

152 men, 76 women, and 38 children

7 0

3 years ago