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Ira Lisetskai [31]
3 years ago
5

In a certain Algebra 2 class of 28 students, 5 of them play basketball and 21 of them play baseball. There are 5 students who pl

ay neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?Does 'neither' mean 'not basketball AND not baseball'? Or 'not basketball OR not baseball'?
Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:3/28; Neither means NOT basketball AND not baseball

Step-by-step explanation:

a) Using set notation to answer the question,

Let U be universal set(total number of student)

B be those that play basketball

C be those that play baseball

BUC be those that plays either of the games

(BUC)' will them be those that play neither

BnC be those that plays both games

(U) = 28

n(B) = 5

n(C) = 21

Before we get the probability that a student chosen randomly from the class plays both basketball and baseball, we need to get BnC first

Using the formula

n(BUC)=n(B) + n(C) -n(BnC)...(1) and;

n(U)= n(BUC)+ n(BUC)'...(2)

n(BUC)= n(U) - n(BUC)'

n(BUC) = 28-5 = 23

Therefore using eqn 1,

23= 5+21-n(BnC)

23=26-n(BnC)

n(BnC)= 3

P{n(BnC)} = n(BnC)/n(U)= 3/28

b) Neither means NOT basketball AND not baseball i.e those that played NONE of the games.

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C.

Step-by-step explanation:

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Step-by-step explanation:

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How many triangles can be constructed with three angles, each measuring 64°?<br><br> 10 POINTS
LUCKY_DIMON [66]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Deep mixing is a ground improvement method developed for soft soils like​ clay, silt, and peat. Civil engineers investigated the
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Answer:

a)  0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T  ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip​ resistance, T, such that 36​% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

        P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

        P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

       P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

        P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

        P ( x > 1.0 ) = P ( Z > -2.125)

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       P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

       P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

  - We will search for the z value with the condition above from Z-table.

       P ( Z > (T - 2.7)/0.8) = 0.36,  Z = 0.358375

  - Hence, we calculate for T:

        T = 0.358375*0.8 + 2.7

        T = 2.9867

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Answer:

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Step-by-step explanation:

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