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evablogger [386]
2 years ago
9

How to find measures of the numbered angles of each kite

Mathematics
1 answer:
TiliK225 [7]2 years ago
5 0
A kite has 4 sides and 4 angles.
Two angles are congruent and two angles are not.
The fact that two angles are congruent may help you.
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A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o
balu736 [363]

Answer:

a

P(X \ge 1) = 0.509

b

P(X  \ge 1) = 0.6807

Step-by-step explanation:

From the question we are told that

   The number of students in the class is  N  =  20  (This is the population )

   The number of student that will cheat is  k =  3

   The number of students that he is focused on is  n  =  4

Generally the probability distribution that defines this question is the  Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally  probability mass function is mathematically represented as

      P(X = x) =  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}

Here C stands for combination , hence we will be making use of the combination functionality in our calculators  

Generally the that  he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

      P(X \ge 1) =  1 - P(X \le 0)

Here  

   P(X \le 0) =  \frac{ ^{3} C_0 *  ^{20 - 3} C_{4- 0}}{ ^{20}C_4}

   P(X \le 0) =  \frac{ ^{3} C_0 *  ^{17} C_{4}}{ ^{20}C_4}

   P(X \le 0) =  \frac{ 1 *  2380}{ 4845}

    P(X \le 0) =  0.491

Hence

    P(X \ge 1) =  1 - 0.491

     P(X \ge 1) = 0.509

Generally the that  he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

    P(X \ge 1) =  1 - P(X \le 0)

   P(X  \ge 1) =1- [  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}]

Here n =  6

So

    P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}]

    P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}]

    P(X  \ge 1) =1- [  \frac{1  *  12376}{38760}]

    P(X  \ge 1) =1- 0.3193

    P(X  \ge 1) = 0.6807

   

5 0
3 years ago
HELP HELP HELP HELP HELP PLZZ GIVE AN ACTUAL ANSWER.
mr_godi [17]

Answer: v ≥ 12

Step-by-step explanation: The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.

8 0
3 years ago
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Tom, Scott and Dawn sold cookies at the school fair. Tom had 90 cookies and sold 60% of them. Scott had 150 cookies and sold 2/3
Ivenika [448]
0.30666666666 if that helps just make it 31%
8 0
3 years ago
What is the surface area of the triangular prism ?
jonny [76]

Answer:

4320

Step-by-step explanation:

V=Bh

V=bbh/2

V=9*24*40

V=8640/2

V=4320ft

4 0
2 years ago
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Simplify the expression: – X+36-3x+1)<br> What’s the answer
Anvisha [2.4K]

Answer:

– X+36-3x+1 = -4x + 37

Step-by-step explanation:

First you add the x’: 3x + x = 4x.

Next add the normal numbers : 36 + 1 = 37.

The numbers you are left with is the answer.

6 0
2 years ago
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