Simplify $\frac{x^2+2x^4+3x^6+...+1005x^{2010}}{2x+4x^3+6x^5+...+2010x^{2009}}$.

Weatherwise magazine is published in association with the American Meteorological Society. Volume 46, Number 6 has a rating syst

lisabon 2012 [21]

Answer:

a) c) μ = 16.4.

b) d) μ > 16.4.

c) a) μ < 16.4.

d) c) μ ≠ 16.4.

e) d) right; left; both.

Step-by-step explanation:

Question a:

Test if it is getting worse, so at the alternative hypothesis we test if the mean is of greater than 16.4 inches, but at the null hypothesis we test if it is still of 16.4 options, so option C.

Question b:

At the alternative hypothesis we test if the mean is of greater than 16.4 inches, as said above, so the answer is given by option d.

Question c:

Dying down, so if the mean is lower than 16.4 inches, so option a.

Question d:

Don't know, so just test if it is different, which includes both lower or greater, so the correct answer is given by option c.

Question e:

Test if more -> right, so on question b) is a right tailed test.

Test if less -> left, so on question c) is a left tailed test.

Different -> both sides, so on question d) it is a two-tailed test.

Thus the correct answer is given by option d.

3 0

3 years ago

??????????????????????????

ser-zykov [4K]

Answer:

Step-by-step explanation:

so they used a total of 560 units

we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula

0.1(x-360+54)

0.1(560-360) + 54 = monthly bill

20+54 = monthly bill

74 = monthly bill

answer D looks good

3 0

3 years ago

Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.

Readme [11.4K]

Answer:

a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

b) $\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

c) $\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling a 4:

One side out of 6 on the dice. So

$P(A) = \frac{1}{6}$

Probability of spinning an 8:

One side out of 8 on the spinner. So

$P(B) = \frac{1}{8}$

Probability of rolling a 4 and spinning an 8:

$P(A \cap B) = P(A)P(B) = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}$

$\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

C) What is the probability of her rolling an even number and spinning a number less than 3?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling an even number:

2, 4 or 6(3 sides out of 6). So

$P(A) = \frac{3}{6} = \frac{1}{2}$

Probability of spinning a number less than 3:

Two numbers(1 or 2) out of 8 on the spinner. So

$P(B) = \frac{2}{8} = \frac{1}{4}$

Probability of rolling an even number and spinning a number less than 3:

$P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$

$\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

8 0

2 years ago

Joel sells ice cream cones at the county fair. He has to rent the equipment for $28 and spent $.33 on a gradients for each accou

spin [16.1K]

Rental - $28
Ingredients- $33
Total $61.00

At $1.30 each you can guesstimate he'd have to sell almost 60 cones to break even.
OR
You can divide 1.30 into $61.00 for about 47 cones to break even. (I rounded up)

To make a profit he would either need to sell double that amount or he could raise the cost of his cone to $2.00 & make profit sooner.

8 0

2 years ago

5) What is the slope and the y-intercept of the line represented by the equation 4x + 3y - 12?

ale4655 [162]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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