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3 years ago

What is the significance of the Mayflower Compact?

Mathematics

2 answers:

Serga [27]3 years ago

5 0

Answer:

The Mayflower Compact was important because it efficiently was the first official document to establish self-government in the New World. It carried on being active until 1691 when Plymouth Colony became part of the Massachusetts Bay Colony.

Lerok [7]3 years ago

5 0

Answer: the first governing document of Plymouth Colony.

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Help with pre algerbra equations PLZ

Fudgin [204]

For the first one a = 2.5. For the second one m = 4. For the third one m = -4

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3 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:

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

6 0

3 years ago

The ratio of the sides of a triangle is 8:13:11. If the perimeter of a triangle is equal to 256, what is the length of the longe

s344n2d4d5 [400]

There asking what the numbers are by The ratios, what I did was did was multiply by 8 for each number 8•8=64 13•8=104 11•8=88 so now what you do is add up 64+104+88=256 those are your answers if you want to double check you will dived them by 8 so 64/8=8 104/8=13 88/8=11
Hope this helps :-)

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2 years ago

Eldon Cavanaugh is paid a weekly salary of $562. How much would Eldon earn in 4 weeks of work?

Romashka-Z-Leto [24]

Answer:

2248

Step-by-step explanation:

Take the amount earned weekly and multiply by 4 weeks

562*4

2248

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3 years ago

Read 2 more answers

Dan earns $42.75 per month working as a tutor. He worked as a tutor for 4 months. He also earned $52.45 walking dogs in the neig

hjlf

Answer:

step 3

Step-by-step explanation:

in step 3, he wrote that the sum of 171+ 52.45-18.50 was 241.95 when it is 199.95

3 0

2 years ago