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2 years ago

At the rate shown in the table, how many weeks did it take to sell 700 books? [Type your answer as a number.]

Mathematics

2 answers:

Zigmanuir [339]2 years ago

8 0

Answer:

10 weeks! hope this helped! :)

Step-by-step explanation:

70 x 10 = 700

WINSTONCH [101]2 years ago

3 0

Answer:

to sell 7000 it took 10 weeks

it took 3 weeks to sell 210 books

Step-by-step explanation:

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Type the next term in the sequence. 15, 12, 9, 6,

AveGali [126]

Answer:

Step-by-step explanation:

It's decreasing by 3 each time, so the next number in the sequence would be 6 - 3, which is 3.

6 0

2 years ago

Read 2 more answers

The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.80. It is also known that P(A1 ∩ A2) = 0. Suppose P(

Umnica [9.8K]

Answer:

(a) $A_1$ and $A_2$ are indeed mutually-exclusive.

(b) $\displaystyle P(A_1\; \cap \; B) = \frac{1}{20}$ , whereas $\displaystyle P(A_2\; \cap \; B) = \frac{1}{25}$ .

(d) $\displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}$ , whereas $P(A_1 \; |\; B) = \displaystyle \frac{4}{9}$

Step-by-step explanation:

$P(A_1 \; \cap \; A_2) = 0$ means that it is impossible for events $A_1$ and $A_2$ to happen at the same time. Therefore, event $A_1$ and $A_2$ are mutually-exclusive.

By the definition of conditional probability:

$\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}$ .

Rearrange to obtain:

$\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot P(A_1) = 0.25 \times 0.20 = \frac{1}{20}$ .

Similarly:

$\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot P(A_2) = 0.80 \times 0.05 = \frac{1}{25}$ .

Note that:

$\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}$ .

In other words, $A_1$ and $A_2$ are collectively-exhaustive. Since $A_1$ and $A_2$ are collectively-exhaustive and mutually-exclusive at the same time:

$\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}$ .

By Bayes' Theorem:

$\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}$ .

Similarly:

$\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}$ .

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3 years ago

An online pet store offers the hamster house shown in the figure below

nlexa [21]

Answer:

Step-by-step explanation:

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3 years ago

6.04x10^-3 as an ordinary number

Sergio039 [100]

Answer:

0.00604

Step-by-step explanation:

The exponent tells us how many spaces to move the decimal in a given number. If its positive, the decimal moves to the right. If its negative, the decimal moves to the left.

6.04 x 10⁻³ = 0.00604

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3 years ago

Complete the missing value in the solution to the equation −4x−y=24

Vedmedyk [2.9K]

Answer:

-4x-y=24= - 4 · (-7) - 4 = 24

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3 years ago