Answer:
1/6
Step-by-step explanation:
In an experiment, the probability that event A occurs is 1/6
, the probability that event B occurs is 1/2 and the probability that events A and B both occur is 1/12 Are A and B independent events?
A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.
What is the probability of an investor choosing only bonds from portfolio B?
Solution :
P(A) = 0.2
[tex]$P(B)=0.3$[/tex]
[tex]$P(C)=0.5$[/tex]
Each portfolio has both the stocks and the bonds, and the investors are equally likely to choose either of them.
Let Stock = S
Bond = b
Therefore, we have:
[tex]$P(S|A) = 0.5$[/tex]
[tex]$P(b|A) = 0.5$[/tex]
[tex]$P(S|B) = 0.5$[/tex]
[tex]$P(b|B) = 0.5$[/tex]
[tex]$P(S|C) = 0.5$[/tex]
[tex]$P(b|C) = 0.5$[/tex]
Therefore,
[tex]$P(b \text{ and } B)= P(b|B) \times P(B)$[/tex]
= 0.5 x 0.3
= 0.15
Based on the tree diagram, probability of an investor choosing only bonds from portfolio B is 0.15.
What is probability?Probability is the chance or likelihood of an event occurring.
Mathematically, probability is given as;
Probability = number of expected outcomes/number of possible outcomesFrom the tree diagram:
P(A) = 0.2
P(B) = 0.3
P(C) = 0.5
The investors are equally likely to choose from each portfolio.
Each portfolio has both the stocks and the bonds.
Assuming stock = S and Bond = B.
Then;
P(S|A) = 0.5
P(b|A) = 0.5
P(S|B) = 0.5
P(b|B) = 0.5
P(S|C) = 0.5
P(b|C) = 0.5
[tex]P(b \text{ and } B)= P(b|B) \times P(B)[/tex]
[tex]P(b \text{ and } B)= 0.5 \times 0.3 = 0.15[/tex]
Therefore, the probability of an investor choosing only bonds from portfolio B is 0.15.
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pick number 1-10 if you get it right ill pay 50 dollas
HELP
When x=7
7+7(x-3)²
Answer:
it should be 119
Step-by-step explanation:
(7-3) = 4
4^2 = 16
16 x 7 = 112
112 + 7 = 119
Answer: 119
[tex]7+7(x-3)^{2}[/tex]
[tex]7+7(7-3)^{2}[/tex]
[tex]7+7(4)^{2}[/tex]
[tex]7+7(16)[/tex]
[tex]7+112[/tex]
=119
The owner of a home cleaning company provides her customers with?
A) Promotion
B) Services
C) Brand Name
D) Places
Answer:
Step-by-step explanation:
services
Jensen has a basket containing oranges apples and pears he picks a piece of fruit from the basket 40 times, replacing the food before each draw from these 40 trials Jensen estimates that the probability of picking an orange is 0.25 the probability of picking an apple is 0.3 and the probability of picking a pair is 0.45 how many times did Jensen pick an apple doing the £.40 trials
Answer:
[tex] \huge\fbox\purple{12}\ [/tex]
[tex] \small\mathfrak\pink{s} \small\mathfrak\purple{o} \small\mathfrak\blue{l} \small\mathfrak\red{u}\small\mathfrak\green{t} \small\mathfrak\orange{i}\small\mathfrak\blue{o} \small\mathfrak\red{n(⌐■-■)/━☆ﾟ.*･｡ﾟ} [/tex]
In this question, we're trying to find how many apples Jenson picked from the basket.
Lets gather information that can help us.
Important information:
• Picked a fruit from a basket 40 times Probability of picking an apple is 0.3
With the information above, we can solve the question.
We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.
The probability of picking an apple is 0.3, which is equivalent to 30%
This means that 30% of the 40 times he picked an apple.
We would multiply 40 by 0.3 to get our answer.
40* 0.3 =12This means that Jenson picked 12 apples.
________☁️☁️
Hope it helps
~✨ƒöᏝϗʆѻʁᶥąռ¹₃
Based on the figure below, what is the value of x? (5x + 15) 30° 3 09 O 12 15
Answer:
is this from FLVS?
Step-by-step explanation:
In a glass the ratio of water
to juice is 11:2
What fraction of the drink
is juice?
Answer:
The fraction of the drink that is juice is [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since the ratio of the water to juice is 11:2, that means the ratio of juice to the total amount of liquid in the glass would be [tex]\frac{2}{11+2}[/tex] or [tex]\frac{2}{13}[/tex].
The fraction of the drink that is juice is [tex]\( \frac{2}{13} \)[/tex].
The ratio of water to juice in the glass is 11:2. This means that for every 11 parts of water, there are 2 parts of juice in the drink.
To find the fraction of the drink that is juice, we need to add the number of parts of juice and water together. In this case, we have 11 parts of water and 2 parts of juice, making a total of [tex]\(11 + 2 = 13\)[/tex] parts.
Now, to find the fraction of juice in the drink, we divide the number of parts of juice by the total number of parts in the drink. So, we have:
[tex]\( \text{Fraction of juice} = \frac{\text{Number of parts of juice}}{\text{Total number of parts}} = \frac{2}{13} \).[/tex]
Thus, [tex]\( \frac{2}{13} \)[/tex] of the drink is juice.
In summary, to find the fraction of juice in the drink, we first add the number of parts of juice and water together to get the total parts in the drink.
Then, we divide the number of parts of juice by the total parts to find the fraction of juice. In this case, the fraction of juice in the drink is [tex]\( \frac{2}{13} \).[/tex]
To know more about Fraction here
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each saturday, tina mows lawns to earn extra money which she puts into a savings account. the graph shows the balance of tina’s savings accounts over the first six weeks of mowing lawns. according to this pattern, how much will tina have in her account after 15 weeks of mowing lawns?
Answer:
$255
Step-by-step explanation:
First, we need to generate an equation in slope-intercept form, y = mx + b, that represents the graph. To do this, we need to find b = initial value (y-intercept) and m = slope (money she puts in her account each week).
x = number of weeks
y = balance ($)
✔️Slope (m) = change in y/change in x
Using two points on the line, (1, 45) and (2, 60),
Slope (m) = (60 - 45)/(2 - 1) = 15/1
m = 15
✔️To find b, substitute (x, y) = (1, 45) and m = 15 into y = mx + b.
45 = 15(1) + b
45 = 15 + b
45 - 15 = b
30 = b
b = 30.
✔️To write the equation, substitute m = 15 and b = 30 into y = mx + b
y = 15x + 30
✔️To determine how much Tina will have in her account (y) after 15 weeks (x) of mowing, substitute x = 15 into y = 15x + 30:
y = 15(15) + 30
y = 225 + 30
y = 2
Therefore, Tina will have $255 in her accounts after 15 weeks of mowing lawns.
Given the following formula, solve for l.
Answer: Option C
l = (P - 2b)/2
Step-by-step explanation:
From P = 2(l + b)
Divide both sides by 2;
P/2 = 2(l + b)/2
P/2 = l + b
l + b = P/2
Make l the subject of formula;
l = (P/2) - b
l = (P - 2b)/2
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar. This new product is expected to increase profits substantially because they create the 50% less sugar product by replacing 50% of the juice with water while selling it for the same price. An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He selects a random sample of 500 containers of orange juice and determined the percentage of each that is water. He plans to conduct a significance test at the a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50. What is the probability that the inspector makes a Type I error?
(A) 0.01
(B) 0.05
(C) 0.10
(D) 0.45
(E) 0.50
Answer: A. 0.01
Step-by-step explanation:
Type I error are refered to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.
Type I error is when one rejects the null hypothesis even though it's actually true. In this case, the inspector rejects the hypothesis which was that the proportion of water that is contained the product is 0.5.
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
PLEASE HELP ME!!!! MATH!!!!
Answer:
Whats misleading is that it gives decimals for the part that says "thousands of dollars" it it is very vivid
Why i think the company would present this graph is To see their budget and income per month and etc.
_____________________________________________________________-
Because on the 2015 box graph is is 3d shaped also, it doesnt have the name for 0 ~ 400 books and etc
2013: 1000
2014: 2000
1015: 4000
___________________________________________________________________
The impression this graph gives is organized for profits but hard to understand
Please help me with this question
Answer:
It is 65 cm
Step-by-step explanation:
Alright, within the image, the triangles ABC and TUV are congruent. With this, the following is true: AB ≅ TU, BC ≅ UV, and CA ≅ VT because the order and their sides between the two triangles is shared.
With this, BC is ≅ to UV. Now, just set the two equations equal to each other:
9x+2=8x+9
9x=8x+7
x=7
Now, we've got x, though it needs to be plugged back into side BC for the final answer
9(7)+2
63+2
65 cm
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°
D. An angle measuring -265°
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°D. An angle measuring -265°
-KeonLee
I hope it help
#Carry on learning
An angle measuring -275°
*view photo*
1/2, 3/4, 1, …What are the 6th and 7th terms of the sequence?
Answer:
Answer
It can be (1+x)
n
only as (1−x)
n
terms are +ve/−ve alternatively hence can't be in A.P.,
General term, T
rH
=
n
C
r
⋅x
r
⇒T
5
=
n
C
4
⋅x
4
,T
6
=
n
C
5
⋅x
5
,T
7
=
n
C
6
⋅x
6
Coefficients are in A.P.
⇒2
n
C
5
=
n
C
4
+
n
C
6
⇒
5!(n−5)!
2n!
=
4!(n−4)!
n!
+
6!(n−6)!
n!
⇒
5(n−5)
2
=
(n−4)(n−5)
1
+
6×5
1
⇒2(n−4)=5+
6
1
(n−4)(n−5)
⇒12(n−4)=30+n
2
−9n+20
12n−48=n
2
−9n+50
⇒n
n
−21n+98=0
⇒n
2
−14n−7n+98=0
⇒n(n−14)−7(n−14)=0
⇒(n−7)(n−14)=0
n=7 or n=14.
Given AJKL: AXYZ, find x.
Answer:
6 = 9
8 x
we cross multiply 6× x = 6x 9×8 = 72
6x = 72
6 6
x = 12
Plz help me
Use the discriminant to determine The number of solutions to the quadratic equation -x^2+10x-2=0
Answer:
x=-5
Step-by-step explanation:
i just solved the problem
Answer:
=5±√23
Step-by-step explanation:
-10+2√23
= -------------
-2
-10-2 √23
= -------------
-2
Suppose that a password consists of 2 letters followed by 4 digits, where there are 26 letters and 10 digits to choose from. How many different passwords are possible?
Answer:
68250
Step-by-step explanation:
Number of ways in which 2 letters can be selected out of 26 letters = 26 c 2 = 26 ! / ( 2! x 24! ) = 325
Number of ways in which 4 digits can be selected out of 10 digits = 10 c 4 = 10 ! / ( 4! x 6! ) = 210
So , total number of ways in which password containing 2 letters & 4 digits can be made = 325 x 210 = 68250
$24,000 at 5.5% for 5 years
A non-profit organization plans to hold a raffle to raise funds for its operations. A total of 1,000 raffle tickets will be sold for $1.00 each. After all the tickets are sold, one ticket will be selected at random and its owner will receive $50.00. The expected value for the net gain for each ticket is -$0.95. What is the meaning of the expected value in this context?
A. The ticket owners lose an average of $0.05 per raffle ticket.
B. The ticket owners lose an average of $0.95 per raffle ticket.
C. Each ticket owner will lose $0.95 per raffle ticket.
D. A ticket owner would have to purchase 19 more tickets for the expected value of his or her net gain to increase to $0.00.
E. A ticket owner has a 95 percent chance of having a ticket that is not selected.
Answer:
The answer is "Option b".
Step-by-step explanation:
In the given question, 1000 ticket were sold for [tex]\$1[/tex] and the owner who receives tickets which are randomly chosen that wins [tex]\$50[/tex].
[tex]Net\ profit = 1000\times 1-1\timesv 50 = \$950\\\\Net \ profit \ for\ ticket = \frac{\$950}{1000} = \$0.95[/tex]
The probability in which each ticket owners win [tex]= 0.001[/tex]
therefore the ticket owner net profit = [tex]= -1+0.001\times 50 = -0.95\\\\[/tex]
What inequality is represented by this graph?
1 2 3
s 8 i å
6 7 8 9
X36
X
x28
Answer:
[tex]x < 6[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The inequality
The arrow points starts at 6 and points left.
This means that:
[tex]x < 6[/tex] or [tex]x \le 6[/tex]
The open circle on 6 implies that the inequality is either [tex]<[/tex] or [tex]>[/tex]
Hence, [tex]x \le 6[/tex] is invalid
So, the inequality is: [tex]x < 6[/tex]
Tanya is making a blueprint of an Olympic-size swimming pool. The length of the pool is 50 meters, and its width is 25 meters. If Tanya uses a scale factor of 3 inches per 5 meters, what is the perimeter of the pool in the scale drawing?
A.
45 inches
B.
90 inches
C.
100 inches
D.
225 inches
E.
450 inches
Answer:
B. 90 inches
Step-by-step explanation:
Given that
The length is 50 m
And, the width is 25 m
Scale factor is 3 inches per 5 m
We need to find out the perimeter of the pool
So,
5 meter = 3 inches
3 ÷ 5 = x ÷ 50
x = 30 inches = length
Now
3 ÷ 5 = x ÷ 50
x = 15 inches = width
Now the perimeter of the pool is
= 2(l + w)
= 2 (30 + 15)
= 90 inches
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
December
Gas Mileage of Cars Sold in June
which inference can be made about cars?
a) The type of cars sold in June typically gets better gas mileage
b) The type of cars sold in December typically gets better gas mileage
c) The type of cars sold in the two months typically get about the same gas mileage
d) The types of cars sold in the two months typically get better gas mileage then those sold in other months
please help, thanks!
Answer:C
Step-by-step explanation:
I took the test
Answer:
C
Step-by-step explanation:
The types of cars sold in the two months typically get about the same gas mileage.
BEEN ASKING FOR AN HOUR!! A trapezoid's area can be calculated by the formula A = 2 (61 + b2)h, where A stands for area, bį for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below. 6 m 9 m 14 m eps pdf png svg tex 28. A trapezoid's area can be calculated by the formula A = {(61 + b2)h, where A stands for area, by for the first base's length, ba for the second
Answer:
The area is: [tex]69m^2[/tex]
Step-by-step explanation:
Given
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
[tex]b_1 = 9m[/tex]
[tex]b_2 = 14m[/tex]
[tex]h =6m[/tex]
Required
The area
We have:
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
This gives:
[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]
[tex]A = \frac{1}{2}* 23m * 6m[/tex]
[tex]A = 69m^2[/tex]
Help me?!?! Giving out brainliest
Answer:
748h=1,500
Step-by-step explanation:
volume=length x width x height
we know the length and width so
v=34 x 22, which that equals 748
to find the length we need to divide 1,500 and 748.
hope this helps!
PLEASE ANSWER I WILL MARK BRAINLIEST. Hi, I’m in high school and I passed the first semester. And the second semester I passed the first two quarters (mp). Will I fail the class if I fail the third (which is my last quarter of the semester )quarter???? PLEASE ANSWER I NEED TO KNOW
Answer: In short yes you will basically, if you get an NX it means you fail the semester and you don't get the credits fro that semester which means you either do summer school or retake the class in the coming school year. But you'd still have the credits from first semester to count towards graduate but to be on track in 9th grade you need 11 credits, 10th grade 22 credits, 11 grade 33 credits, and 12th grade the 44 credits total but that in New York districts. If you have those amounts of credits then you'll be fine if not start getting ready and take as many classes as you can to make it up and make sure you stay on top of your work, no slacking high school is an important part of your education.
Answer:
if you have 4 quarters in the school year and you passed 3 out of the 4 quarters then no you wont fail but if you only pass 2 of the 4 quarters then yes you will fail.
Step-by-step explanation:
*
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly chosen student took Form B and did not pass?
Answer:
0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Took Form B.
Event B: Did not pass.
Half of a class took Form A of a test, and half took Form B.
This means that [tex]P(A) = 0.5[/tex]
Of the students who took form B, 39% passed.
So 100 - 39 = 61% did not pass, which means that [tex]P(B|A) = 0.61[/tex].
What is the probability that a randomly chosen student took Form B and did not pass?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.61*0.5 = 0.305[/tex]
0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass
Please answer this question correctly
find the value of x. round to the nearest tenth.
Answer:
x = 17.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 51 = x /28
28 cos 51= x
x=17.62097
To the nearest tenth
x = 17.6
Find the Area of the figure below, composed of a rectangle and two
semicircles. Round to the nearest tenths place.