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3 years ago

7

The difference of the sample means of two populations is 34.6, and the standard deviation of the difference of the sample means

is 11.9. The 95% confidence interval lies between A) -11.9 B) -23.8 C) -35.7 D) -45.4 and A) 11.9 B) 23.8 C) 35.7 D) 45.4

1 answer:

mojhsa [17]3 years ago

8 0

Answer

23.8,23.8

Step-by-step explanation:

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The function A=A_oe^{-0.01155x} A = A o e − 0.01155 x models the amount in pounds of a particular radioactive material stored in

vivado [14]

They are essentially asking us to solve:

$357=900e^{-0.01155x} \implies\\ \frac{357}{900}=e^{-0.01155x} \implies\\ \ln{\frac{357}{900}}=-0.01155x \implies \\ x\approx 80.1$

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.

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3 years ago

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Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €

Bad White [126]

Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

$\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.$

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

$f=20-t$

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

$5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10$

3. Substitute the value of "t" into the equation $f=20-t$ and evaluate:

$f=20-10\\\\f=10$

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

$Total=10(5)+10(10)=150$

She has a total of 150€.

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3 years ago

Help please I'm so confused

Sergeu [11.5K]

Answer:

169.12

Step-by-step explanation:

I hope this is correct. First, you want to divide the semi-circle and the rectangle. To find the area of the rectangle, you do 16 x 9 to get 144. To find the area of the semi-circle, you do 3.14x16/2 to get 25.12. Then you want to add 144 and 25.12 to get 169.12. I hope this helps

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3 years ago

7÷9932 i need help with this and i have to show the work

Rashid [163]

Answer:

the answer is 7 over 9932!

Step-by-step explanation:

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2 years ago

Which equation could be used to calculate the sum of the geometric series? One-third + two-ninths + StartFraction 4 Over 27 EndF

kondaur [170]

Answer:

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

Step-by-step explanation:

Given the geometric series:

1/3+2/9+4/27+8/81+16/243

First we must know that the series is a finite series with just 5terms.

Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.

r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27

r = 2/9 × 3/1

r = 2/3

Similarly;

r = 4/27×9/2

r = 2/3

Since all values of r is the as them the common ratio is 2/3.

If r< 1 in geometric series, then the formula for finding its sum is applicable

Sn = a(1-rⁿ)/1-r

a is the first term = 1/3

r is the common ratio = 2/3

n is the number of terms = 5

Substituting the values in the formula we have:

S5 = 1/3{1-(2/3)^5}/1-2/3

This gives the requires equation

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

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3 years ago

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