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mars1129 [50]
3 years ago
14

A psychology class consists of 14 males and 36 females. if the professor selects names from the class list using random sampling

, what is the probability that the first student selected will be a female? if a random sample of n = 3 students is selected and the first two are both females, what is the probability that the third student selected will be a male?
Mathematics
1 answer:
Sonbull [250]3 years ago
8 0
The probability of selecting a female student for the first picking is \frac{36}{50} = \frac{18}{25}
The number of students left to select from after the first two students selected is 50 - 2 = 48 students, which consist of 34 females (two have been selected) and 14 males (none has been selected so far)
The probability that the third pick is a male is \frac{14}{48}= \frac{7}{24}
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The general term of an arithmetic sequence is tn = 32 + 3n, where n ∈N and n ≥ 1. The sequence is
Debora [2.8K]

Answer:

D) 35, 38, 41, 44, 47, 50,...

Step-by-step explanation:

The general term of an arithmetic sequence is

t_n=32+3n, where n ∈N and n ≥ 1.

When n=1,

t_1=32+3(1)=35

When n=2,

t_2=32+3(2)=38

When n=3,

t_3=32+3(3)=41

When n=4,

t_4=32+3(4)=44

When n=5,

t_5=32+3(5)=47

When n=6,

t_6=32+3(6)=50

Hence the sequence is 35, 38, 41, 44, 47, 50,...

The correct answer is D

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A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total
larisa86 [58]

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

<h3>Find the required expression:</h3>
  • Algebraic expression is made up of numbers, operations and variables.
  • Algebraic expression is true for all values of x.
  • For example, 2x, 5x + 9 etc.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

Learn more about algebraic expression here:

brainly.com/question/953809

#SPJ1

7 0
1 year ago
20 POINTS! Please help
LUCKY_DIMON [66]
Hey! I believe the answer is A. Have a nice/great day! :-)
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