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3 years ago

How many times bigger is 10 to the 11th power than 10 to the 3rd power?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

10^11 is 100,000,000,000

10^3 is 1000

1,10,100,1000,10000,100000,1000000,100000000,100000000000.

I think it might be 4 times bigger

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what is the solution to this system of equations (Use the elimination method by multiplying the first equation by 3.) 2x+y=20 6x

user100 [1]

Answer:

(7, 6)

Step-by-step explanation:

multiply first eq. by 3 to get 6x - 3y = 60

now do

6x + 3y = 60

- 6x - 5y = 12

--------------------

8y = 48

solve for y: y = 6

with this y value, plug it in to the first equation (easier to solve) and get 2x + 6 = 20

solve for x and get x = 7

so ans is (7, 6)

5 0

3 years ago

At Taylor Street School, 40% of the students bought lunch in the cafeteria today. Of the students who bought lunch in the cafete

leva [86]

Answer:

Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%

Explanation:

Let number of students be 100.

At Taylor Street School, 40% of the students bought lunch in the cafeteria today

Number of students bought lunch = 100 x 40/100 = 40

Of the students who bought lunch in the cafeteria today, 30% chose pizza as their entree

Number of students bought pizza = 40 x 30/100 = 12.

Probability of an outcome = Number of favorable outcome/ Total number of outcome

Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = Number of students bought pizza/Total number of students

= 12/100 =0.12 = 12%

Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%

4 0

3 years ago

A box contains five keys, only one of which will open a lock. Keys are randomly selected and tried, one at a time, until the loc

Schach [20]

Answer:

Step-by-step explanation:

4 0

3 years ago

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

mojhsa [17]

Answer:

(A) The minimum sample size required achieve the margin of error of 0.04 is 601.

(B) The minimum sample size required achieve a margin of error of 0.02 is 2401.

Step-by-step explanation:

Let us assume that the percentage of support for the candidate, among voters in her district, is 50%.

(A)

The margin of error, MOE = 0.04.

The formula for margin of error is:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}$

The critical value of z for 95% confidence interval is: $z_{\alpha/2}=1.96$

Compute the minimum sample size required as follows:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.04=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.04}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=600.25\approx 601$

Thus, the minimum sample size required achieve the margin of error of 0.04 is 601.

(B)

The margin of error, MOE = 0.02.

The formula for margin of error is:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}$

The critical value of z for 95% confidence interval is: $z_{\alpha/2}=1.96$

Compute the minimum sample size required as follows:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.02}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=2401.00\approx 2401$

Thus, the minimum sample size required achieve a margin of error of 0.02 is 2401.

8 0

3 years ago

A linear graph contains the points (3, -5 and (7, 11)

abruzzese [7]

Slope
y2-y1/x2-x1
11+5/7-3
4
now plug and chug with -5=4(3)+b

3 0

3 years ago

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