A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. Assume that none of these 250 students is majoring in both areas. There are a total of 100 majoring in psychology and only 80 of those majoring in psychology are happy while 35 students majoring in communication are unhappy.
If one student is selected at random from this group, find the probability that this student is:________
i. happy with the choice of major
ii. a psychology major
iii. a communication major given that the student is happy with the choice of major
iv. unhappy with the choice of major given that
Solution :
It is given that :
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]$=\frac{80+115}{250}$[/tex]
= 0.78
b). Psychology major [tex]$=\frac{80+20}{250}$[/tex]
= 0.4
c). Probability of the students who are happy with the communication as the choice of major = [tex]$\frac{115}{250}$[/tex] = 0.46
d). Students unhappy with their choice of major given that the student is psychology major = [tex]$\frac{20}{250}$[/tex] = 0.018
a) Probability of the students happy with their major choices is 0.78.
b) Probability of Psychology major is 0.4
c) Probability of the students who are happy with the communication as the choice of major is 0.46.
d) Students unhappy with their choice of major given that the student is psychology major is 0.018
Given:
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So, number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So, number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]=\frac{80+115}{250} =0.78[/tex]
b). Psychology major
[tex]\frac{80+20}{250} =0.4[/tex]
c). Probability of the students who are happy with the communication as the choice of major =[tex]\frac{115}{250} =0.46[/tex]
d). Students unhappy with their choice of major given that the student is psychology major =[tex]\frac{20}{250} =0.018[/tex]
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To get to the baseball game, Todd drove 2 hours and 10 minutes, stopped for 15 minutes, then drove 1 hour 15 minutes more to get to the game. If he arrived at 6:10, what time did he leave?
Is collecting Taxes a
Delegated power
Reserved power
Concurrent power
Answer: C.concurrent power
Step-by-step explanation: Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.
What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
A. 2 sqrt 3
B. 4
C. 8
D. 4 sqrt 6
E. 12
Please help
Answer:
Option B. 4
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 60 °
Opposite (Fe) = 4√3
Adjacent (DE) = x
The value of x can be obtained by using the Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 60 = 4√3 / x
√3 = 4√3 / x
Cross multiply
√3 × x = 4√3
Divide both side by √3
x = 4√3 /√3
x = 4
Thus, the length of DE is 4
at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *
Answer:
I think it is A that will take longer but im not 100 percent sure
Step-by-step explanation:
First write an equation:
Location A- 800+100x
Location B- 1200+200x
Then you need to plug numbers in for x
HELP ME ANSWER THIS PLEASE!!!!!
Complete the proof that m
Find the value of the variable. A
610
790
Answer: Allie made a 240- mile trip in just 4 hours.
Step-by-step explanation:
Sadie swam x laps in the pool. Eric swam 3/5 more than that. Write an expression for the number of laps Eric swam
Answer:
y = 3/5 + x
'y' = # laps Eric swam
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
.
Can someone help me with a two step equatio that is x=2
As a laboratory assistant, you measure chemicals using the metric system. For your current research, you need to measure out 45 grams of sodium chloride. The bottle you are using lists the amount in ounces. About how many ounces of sodium chloride will you need?
Answer:
1.58733 ounces
Step-by-step explanation:
45 grams = 1.58733 ounces
(grams to ounces calculator online)
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(5, -30) (6, -36)
(-36 + 30)/(6 - 5) = -6/1 = -6
y + 30 = -6(x - 5)
y + 30 = -6x + 30
y = -6x + 0
y = -6x
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.
Answer:
a) The probability tree is constructed below
b) the probability that at least two women will be selected is 0.500
Step-by-step explanation:
Given the data in the question;
a) The probability tree is as follows;
3 men, 3 women
↓
_______________________|________________________
↓ ↓ ↓ ↓
3 men 2 men 1 man 0 men
0 women 1 woman 2 woman 3 women
b) the probability that at least two women will be selected
p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3
so
p( at least two women would be selected) = C
³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃
= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)
= 3 × 3 / 20 + 1 × 1 / 20
= 9/20 + 1/20
= 0.45 + 0.05
p( at least two women would be selected) = 0.500
Therefore, the probability that at least two women will be selected is 0.500
I don't get this part can somebody help pls?
Answer:
the ground level is -2
Step-by-step explanation:
hope this helps
four times a number increased by 8 is 54?
Answer:
4x+8=54 this is the correct answer
sreg
Triangle ABC is reflected across line m to form triangle PRS.
B
R
m
с
Which statement must be true?
O The length of AB = the length of SR
O The length of BC = the length of RP
OMZA = MZS
OmZB = mZR
Answer:
m∠b = m∠r
Step-by-step explanation:
The triangle was reflected across line m.
A reflection is a rigid transformation. A rigid transformation does not change the measurement or size of a shape, so the pre-image and the image are congruent.
The angles on the pre-image corresponds to the angles on the image. This also is for line segments.
This means (for angle measurements):
Angle A is congruent to Angle P
Angle C is congruent to Angle S
Angle B is congruent to Angle R
Option D should be the correct answer.
which algebraic expression represents "the difference of fofty-four and seven times a number
Answer:
44-7x
Step-by-step explanation:
Here again are the results of a survey that students conducted at a mall. The students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos. At least one tattoo No tattoo Row Totals Age 18 - 29 170 320 490 Age 30 - 50 60 445 505 Column Totals 230 765 995 Which proportions are most useful in analyzing the relationship between age and tattoos? Group of answer choices 170 / 230 and 60 / 230
Answer:
1. 170/490 and 60/505
2. 320/490 and 445/505
Step-by-step explanation:
No options were given, but the question can still be answered
Given
[tex]\begin{array}{cccc}{} & {\ge 1\ tattoo} & {0\ tattoo} & {Row\ Total} & {18 -29} & {170} & {320} & {490} & {30 - 50} & {60} & {445} & {505} & {Column\ Total} & {230} & {765} & {995}\ \end{array}[/tex]
Required
Which proportion best compares age and tattoos?
The row data represents the age range of each group while the column data represents the amount of tattoo by each group.
So, to make comparison:
You simply pick a cell data and compare it to the row total.
Take for instance
For those who have at least 1 tattoo. The proportion to use are:
170/490 --- For age range: 18 - 29
60/505 --- For age range: 30 - 29
For those without tattoo. The proportion to use are:
320/490 --- For age range: 18 - 29
445/505 --- For age range: 30 - 29
39 is what percent of 82
Answer:
47.5%
Step-by-step explanation:
39/82 = .475 = 47.5%
Answer:
39 is 47.56% of 82
Step-by-step explanation:
82 is 100% since it is our output value.
divide 39 by 82 to get the answer in decimal form:
39 / 82 = 0.4756
Then multiplied the answer from the first step by one hundred to get the answer as a percentage
0.4756 * 100 = 47.56%
Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.
Answer:
80.11 inches
Step-by-step explanation:
The formula to finding the circumference of a circle is:
C = 2πr (C = circumference, π = pi, r = radius)
Replace r with the radius:
C = 2π(12.75)
Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded
to the nearest hundredth is 80.11
Please help for instant brainliest.
Processes
8. &Practices Model Math Today 25 girls and 20 boys rode their
bikes to school. Each bike rack at school holds 5 bikes. How many
bike racks were filled?
Answer:
9 bike racks
Step-by-step explanation:
25 girls. 20 Boys
20+25=45
Each bike rack hold 5 bikes
45÷5= 9
Does anyone kno dis answer for me
Answer:
answer below:)
Step-by-step explanation:
since s2= 6.2, then:
cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME
Answer:
its 7
Step-by-step explanation:
why did u delete my answer if its right?
Martha's bakery started with 200 cupcakes in the morning. After a busy afternoon there were only 60 cupcakes left. By what percent did the cupcake inventory drop?
Answer: 70%
Step-by-step explanation:
Martha's bakery started with 200 cupcakes in the morning and after a busy afternoon there were only 60 cupcakes left, this means that 200 - 60 = 140 cupcakes were sold.
The percentage drop will be:
= 140/200 × 100
= 70%
find the area of ABC
Answer:
area of ABC=1/2 b×h=1/2×20×6=30m²
Answer:
60 m^2
Step-by-step explanation:
( Base * Hight / 2 = Area)
20 * 6 = 120
120 / 2 = 60
4. It takes 2 minutes to boil a single
egg. How many minutes will it take
to boil 5 eggs?
a. 10
b. 4
c. 2
d. 5
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{\#4). It takes 2 MINUTES to boil a SINGLE egg. How MANY minutes}\\\large\text{ to boil 5 eggs?}[/tex]
[tex]\large\text{\bf{Keyterm(s)}}\downarrow\\\large\text{\bf{2 minutes to boil ONE egg}}\\\large\text{\bf{Number of minutes it will take to boil FIVE eggs}}[/tex]
[tex]\textsf{Well, if one egg takes approximately two minutes, then we have we have to}\\\textsf{MULTIPLY 2 from 5, to find out your answer!}[/tex]
[tex]\large\text{\bf{2(5)}}\\\large\text{\bf{2 minutes * 5 eggs = 10 minutes to boil FIVE eggs}}\\\boxed{\boxed{\large\text{\bf{Answer: A. 10}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the percent of change from 400 to 600
Answer:
I dont speak english so i dont know whats is your question