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Luba_88 [7]
2 years ago
6

escribe la ecuación canónica de la elipse con centro en el origen que pasa por el punto (2,1) y cuyo eje menor mide 4 y se encue

ntra sobre el eje Y
Mathematics
1 answer:
mamaluj [8]2 years ago
6 0

Answer:

Ur mummm u cheater

Step-by-step explanation:

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Help help help help me pls !,!,!,
Len [333]

Answer:

96

Step-by-step explanation:

First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.

8 0
3 years ago
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}.

(c) \displaystyle P(B) = \frac{9}{100}.

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

Step-by-step explanation:

<h3>(a)</h3>

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.

<h3>(b)</h3>

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}.

<h3>(c)</h3>

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}.

<h3>(d)</h3>

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
2 years ago
Angel jogged around the park in 1 1/4 hr chris jogged same distance in 5/6 hrs how much longer did angel take then chris in hr??
QveST [7]
You will have to get the difference and get a common denominator but first combine the mixed number:
1 \:  \frac{1}{4}  -   \frac{5}{6}   =  \frac{5}{4}   -   \frac{5}{6} =  \frac{15}{12}   -   \frac{10}{12}
Then subtract the numbers
\frac{15}{12}  -  \frac{10}{12}  =  \frac{5}{12}
Angel took 5/12 hours longer than Chris
6 0
3 years ago
What is the length of arc ab?
7nadin3 [17]
Before we do anything we must convert radians to degrees using a table. pi/3 radians equals 60 degrees, meaning the central angle of this arc is 60 degrees. This also tells us that the length of the arc is 1/6 of the whole circumference. All we have to do now is calculate the circumference which is diameter x pi.

arc = 1/6 pi x 36
arc = 6pi cm

4 0
3 years ago
Read 2 more answers
1. Round this number to the nearest hundred.
navik [9.2K]

Answer:

1. 320   2. 580

Step-by-step explanation:

when you round 320, it is 320 because the hundredths place is 0, which is under 5 so the numbers wouldn't change.

When you round 579, the hundredths place is a 9, which is over 5 so you add 1 to seven to get 8.

5 0
3 years ago
Read 2 more answers
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