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White raven [17]
3 years ago
10

After finishing college, Daniel had interviews with SeaWorld and the Central Park Zoo. The probability of receiving an offer fro

m SeaWorld is 35%. The probability of receiving an offer from the Central Park Zoo is 48%. The probability of Daniel getting an offer from both SeaWorld and the Central Park Zoo is 15%.
Determine the probability of receiving an offer from either SeaWord or Central Park Zoo but not both. ____________
Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

Answer:

Step-by-step explanation:

Scilla [17]3 years ago
3 0

Answer:

68\%

Step-by-step explanation:

Let <em>A</em> be the event that Daniel receives call from SeaWorld.

Probability of event <em>A</em>, <em>P(A)</em> = 35\%

Let <em>B</em> be the event that Daniel receives call from Central Park Zoo.

Probability of event <em>B</em>, <em>P(B) </em>= 48\%

Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:

P(A \cap B) = 15\%

We know that formula:

Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:

P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%

Hence, required probability is 68\%.

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HURRY NEED HELP NOW 42 POINTS NEED 1 PARAGRAPH FOR EACH QUESTION there are 2 photos I put up and that where the questions are.
Shtirlitz [24]
1. All you have to do to find the area of the figure. IS first find the area of the rectangle. This is easy because all you have to do is base times height. 

22 x 17 =  374

Now to find the area of the triangle all you have to do is  do base times height like a rectangle, but then divide it by 2 afterwords.
19 x 12 = 228 ÷ 2  = 114.

Now add the two area's together:

374 + 114 = 488.

Just do the same with the one below, I've altered the pic a bit to make it easier. 



4 0
3 years ago
If t follows a t7 distribution, find t0 such that (a) p(|t | &lt; t0) = .9 and (b) p(t &gt; t0) = .05.
Thepotemich [5.8K]

Answer:

a) P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

b) For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case we know that t \sim t(df=7)

And we want to find:

Part a

P(|t|

We can rewrite the expression using properties for the absolute value like this:

P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

Part b

P(t>t_o) =0.05

For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

5 0
3 years ago
Based on a survey conducted by Greenfield Online, 25–34-year-olds spend the most each week on fast food. The average weekly amou
Artyom0805 [142]
Okay, so the formula for a confidence interval is 
test statistic +/- (critical value)(standard deviation of statistic
44 +/- (invNorm(area: 0.05, u=0, std:1))(14.5)
44 +/- 23.85
(20.15, 67.85)
hope this helps :)
8 0
3 years ago
Earl went to the RoyaleWoods Theme Park with her sister. Earl won 500 ticket's. Her Sister Amy won 4 times the amount as Earl. H
rosijanka [135]
Amy earned 2,000 tickets

500
x
4
-------
2,000
4 0
3 years ago
Read 2 more answers
A is directly proportional to B when A = 12, B = 3 a) find a formula for A in terms of B b) find the value of A when B = 5 c) fi
marysya [2.9K]

Answer:

a) A = kB

b) 20

c) 9

Step-by-step explanation:

A is directly proportional to B when A = 12, B = 3

a) find a formula for A in terms of B

A ∝ B

A = kB

Where k is constant of proportionality

when A = 12, B = 3

12 = 3k

k = 12/3

k = 4

b) find the value of A when B = 5

A = kB

k = 4

A = 4 × 5

A = 20

c) find the value of B when A = 36

k = 4

A = kB

B = A/k

B = 36/4

B = 9

3 0
3 years ago
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