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satela [25.4K]
3 years ago
12

HELP PLS!!! IMPORTANT!

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

#3: The number of pets that is the mode for the class is 1 because the people who have 1 pet appears the most.

explanation: the largest amount of people are the people who have 1 pet.

#4: The percent of students who have at least 3 pets is 25%.

explanation: 6 divided by 24 is 0.25 and and that converted to a percentage is 25%

#5: The median number of pets that students have is 1 pet.

explanation: the middle number of all the people in Yolanda's class is 1.

#6: The range of the number of pets is 9.

explanation: range is the largest number minus the smallest number

9 - 0 = 9

#7: #7 will be attached with this answer.

#8: There are 22 students in the class.

explanation: the added up number of students is 22.

#9: The mode value is 3 students.

explanation: the mode is the number that appears the most. 3 is the number that appears the most.

#10: The median number of concerts that students have attended is 2 concerts.

explanation: the middle number of all the numbers is 2.

#11: The concerts that the students in Mr. Ritter's class have attended in all is 72.

explanation: all the number of concerts attended added up is 72.

#12: The average (mean) number of concerts the students in Mr. Ritter's class has attended is 3 concerts.  

explanation: all the concerts divided by the number of students were are is the mean.

72 / 22 is 3.27.

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Answer:  The calculations are below.

Step-by-step explanation:  The calculations are as follows:

(3) Given that for two events A and B,

P(A)=0.2,~~P(B)=0.3,~~P(A\cup B)=?

Since A and B are disjoint, so

A\cap B=\phi~~~~~\Rightarrow P(A\cap B)=0.

From the law of probability, we have

P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.2+0.3-0=0.50.

Thus, the correct option is (E) 0.50.

(4) Given that a fair six-sided die is rolled. We are to find the probability that an odd number is rolled.

Let, 'A' be event of rolling an odd number. So,

A = {1, 3, 5}   ⇒ n(A) = 3.

Let 'S' be the sample space for the experiment. So,

S = {1, 2, 3, 4, 5, 6}   ⇒ n(S) = 6.

Therefore, the probability of rolling an odd number is given by

P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{6}=\dfrac{1}{2}.

Thus, the correct option is (D) \dfrac{1}{2}.

(5) Given that there are 3 red marbles, 4 white marbles, and 1 green marble in a bag and marbles are drawn without replacement.

So, the probability that 3 marbles can be drawn without drawing the green marble is given by

P=\dfrac{7}{8}\times \dfrac{6}{7}\times \dfrac{5}{6}=\dfrac{5}{8}=0.625.

Thus, the correct option is (A) 0.625.

(6) The sample space for rolling a six-sided die is  {1, 2, 3, 4, 5, 6}

and the sample space for tossing a coin is {H, T}.

Therefore, the sample space for rolling a six-sided die and tossing a coin will be

S = {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

Thus, the correct option is {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

(7) Given that for two events A and B,

P(A)=0.2,~~P(B)=0.3,~~~P(A\cup B) =?

Since A and B are independent but not necessarily disjoint, so

P(A\cap B)=P(A)\times P(B)=0.2\times 0.3=0.06.

From the law of probability, we have

P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.2+0.3-0.06=0.5-0.06=0.44.

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The sample space for each of them is S = {1, 2, 3, 4, 5, 6}.

The equally likely outcomes when three coins are tossed together are

{(1, 1 , 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5), (6, 6, 6)}.

So, the total number of equally likely outcomes = 6.

Thus, the correct option is (C) 6.

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When the correlation coefficient comes out below 0, values are negatively correlated.

The correlation shown by the graph is negative.

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