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barxatty [35]
2 years ago
8

PROBABILITY QUESTION!!! PLEASE HELP

Mathematics
1 answer:
Flura [38]2 years ago
6 0

Answer:

Step-by-step explanation:

the probability that at least one envelope is a yellow envelope is 16/21

Step-by-step explanation:

The probability that at least one envelope is a yellow envelope is P(Y);

P(Y) = 1 - P(Y)'

P(Y)' is the probability that no envelope is a yellow envelope.

Given;

red envelope = 1

blue envelopes = 3

green envelopes = 2

yellow envelopes = 3

Total = 9

Number of non-yellow envelope = 9 -3 = 6(6 envelope are not yellow)

P(Y)' = P1 × P2 × P3

there is no replacement;

P(Y)' = 6/9 × 5/8 × 4/7

P(Y)' = 5/21

From equation 1;

P(Y) = 1 - 5/21

P(Y) = 16/21

the probability that at least one envelope is a yellow envelope is 16/21.

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In the figure below, segment AC is congruent to segment AB:
stepladder [879]

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

7 0
3 years ago
Given that x has a Poisson distribution with
Alex
The Poisson probability distribution function is
P(x;\mu)= \frac{e^{-\mu}\mu ^{x}}{x!}
where
μ = mean number of successes
x =  actual or expected number of successes

Given:
μ = 13
x = 5

Therefore the probability that x=5 is
P(x = 5) = (e⁻¹³*13⁵)/5!
             = 0.8392/120
             = 0.006994
             = 0.0070  (to 4 dec. places)

Answer: 0.0070  (to 4 decimal places)

It is interesting to observe P(x) as x varies, as in the graph shown below.

8 0
3 years ago
Round the answer to the nearest hundredth.
aniked [119]
Answer is 5.85 see picture

5 0
3 years ago
The graph below is the function f(x)<br> Find lim x -&gt; -1- f(x)=
raketka [301]

As <em>x</em> approaches -1 from the left, the graph of <em>f(x)</em> leads you to the point (-1, 3), so the limit from the left is 3.

As <em>x</em> approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.

The one-sided limits do not match, so the two-sided limit does not exist.

But <em>f(x)</em> is still defined at <em>x</em> = -1; this is indicated by the point (-1, -1). So <em>f</em> (-1) = -1.

3 0
2 years ago
In the morning, the temperature in Westfield City was
Thepotemich [5.8K]

Martin's answer is wrong. The afternoon temperature in Westfield city is  -10°F.

Given,

The temperature in Westfield city in morning = -2°F

The drop down temperature by afternoon = 8°F

We have to find the temperature in afternoon:

Temperature in afternoon = Temperature in morning - Drop down temperature

= -2 - 8 = -10

The afternoon temperature in Westfield city is -10°F

Martin subtracted like:

-2 - (-8) = -2 + 8 = 6

This is wrong.

That is,

We can conclude like:

Martin's answer is wrong. The temperature in Westfield city in afternoon is -10°F

Learn more about temperature here:

brainly.com/question/20855720

#SPJ1

4 0
1 year ago
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