Convert the rectangular equation to polar form. assume a is less than 0. x=10

A 95% confidence interval for an unknown population mean is given by (9, 12). How should this confidence interval be interpreted

Zanzabum

C is my answer of ask other sources tho. Ok

8 0

2 years ago

A population, P(t) (in millions) in year t, increases exponentially. Suppose P(9)=16 and P(18)=24. a) Find a formula for the pop

jenyasd209 [6]

Answer: $\frac{32}{3}\left ( 1.0460\right )^t$

Step-by-step explanation:

Given

Population changes exponentially

$P\left ( t\right )=ab^t$

$P\left ( 9\right )=16$ ------1

$P\left ( 9\right )=16=ab^8$

$P\left ( 18\right =24=ab^{18}$ -----2

divide 1 & 2 we get

$\frac{24}{16}=\frac{b^{18}}{b^9}$

$\frac{3}{2}=b^9$

Substitute $b^9$ in 1 we get

$a=\frac{32}{3}$

Thus $P\left ( t\right )=\frac{32}{3}\left ( 1.0460\right )^t$

8 0

3 years ago

Read 2 more answers

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A

Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

$v=x^{2} y$

Using the restriction stated in the problem to get another equation you can substitute in the one above:

$4x+y=84\\\\$

Substituting y whit this equation gives:

$v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}$

Now find the limit of x:

$\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14$

Find the length:

$y=84-4(14)=28$

You can now calculate the maximum volume:

$v=(14)^{2}(28)= 5488$

6 0

3 years ago

8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components

Taya2010 [7]

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:

$V(X) = np(1 - p)$