Answer:
P(C/R) = 0.4298
Step-by-step explanation:
Missing word "arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places )"
Solution:
Given that P(A) = 75% = 0.75
P(B) = 20% = 0.20
P(C) = 0.05
The chance of drawing a Red marble fro,
P(R/A) = 2% = 0.02
P(R/B) = 25% = 0.25
P(R/C) = 98% = 0.98
If he select Box A than the probability of Red marble drawing
= P(A) * P(R/A)
= 0.75 * 0.02
= 0.015
If he select Box B than the probability of Red marble drawing
= P(B) * P(R/B)
= 0.20 * 0.25
= 0.5
If he select Box C than the probability of Red marble drawing
= P(C) * P(R/C)
= 0.98 * 0.05
= 0.049
So total probability of drawing Red marble is
P(R) = 0.015 + 0.050 + 0.049
P(R) = 0.114
If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is
P(C/R) = {P(C) * P(R/C)} / P(R)
P(C/R) = 0.049 / 0.114
P(C/R) = 0.429824
P(C/R) = 0.4298
An artist has 8 gallon-sized buckets of paint. The artist uses the paint from the buckets to fill pint-sized cans. What is the greatest number of
cans the artist can fill using the paint from the buckets?
Answer:
64 cans
Step-by-step explanation:
Given
[tex]Gallon = 8[/tex]
Required
Determine the equivalent in pints
The standard unit of conversion;
[tex]1 gallon = 8 pints[/tex]
Multiply both sides by 8
[tex]8 * 1\ gallon = 8 * 8\ pints[/tex]
[tex]8\ gallons = 64\ pints[/tex]
Hence, the artist will need 64 cans
At a carry-out pizza restaurant, an order of 3 slices of pizza, 4 breadsticks, and 2 juice drinks costs $13.35. A second order of 5 slices of pizza, 2 breadsticks, and 3 juice drinks cost $19.50. If four breadsticks and a juice drink cost $.30 more than a slice of pizza, what is the cost of each item?
Answer: Pizza = $2.95, Breadstick = $0.50, Juice = $1.25
Step-by-step explanation:
Let P represent the cost of a slice of pizza
and B represent the cost of breadstick
and J represent the cost of a juice drink.
EQ1: 3P + 4B + 2J = 13.35
EQ2: 5P + 2B + 3J = 19.50
EQ3: 4B + J = P + 0.30 --> P - 4B - J = -0.30
Let's eliminate B from EQ1 and EQ2 to form EQ4:
3P + 4B + 2J = 13.35 → 1(3P + 4B + 2J = 13.35) → 3P + 4B + 2J = 13.35
5P + 2B + 3J = 19.50 → -2(5P + 2B + 3J = 19.50) → -10P - 4B - 6J = -39.00
EQ4: -7P -4J = -25.65
And eliminate B from EQ1 and EQ3 to form EQ5:
3P + 4B + 2J = 13.35
P - 4B - J = -0.30
EQ5: 4P + J = 13.05
Now, eliminate J from EQ4 and EQ5 to solve for P:
-7P - 4J = -25.65 → 1(-7P - 4J = -25.65) → -7P - 4J = -25.65
4P + J = 13.05 → 4(4P + J = 13.05) → 16P +4J = 52.20
9P = 26.55
÷9 ÷9
P = 2.95
Plug in P = 2.95 into EQ4 or EQ5 to solve for J:
EQ5: 4P + J = 13.05
4(2.95) + J = 13.05
11.80 + J = 13.05
J = 1.25
Plug in P = 2.95 and J = 1.25 into either EQ1 or EQ2 or EQ3 to solve for B:
EQ3: 4B + J = P + 0.30
4B + 1.25 = 2.95 + 0.30
4B + 1.25 = 3.25
4B = 2.00
B = 0.50
Check (since we used EQ3 to find B, use either EQ1 or EQ2):
EQ2: 5P + 2B + 3J = 19.50
5(2.95) + 2(0.50) + 3(1.25) = 19.50
14.75 + 1.00 + 3.75 = 19.50
19.50 = 19.50 [tex]\checkmark[/tex]
Help me with this plz
Answer:
all of them are except for the first one
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Use the slope formula to find the slope of the line through the points (4,−1) and (−9,−10).
Answer:
9/13
Step-by-step explanation:
What is the domain and range of the following?
Answer:
c
Step-by-step explanation:
Domain is the x-values range is y-values
Time Warner Cable provides television and Internet service to millions of customers. Sup-pose that the management of Time Warner Cable subjectively assesses a probability dis-tribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 .10 200,000 .20 300,000 .25 400,000 .30 500,000 .10 600,000 .05a. Is this probability distribution valid
Answer: yes, it is valid
Step-by-step explanation:
Given the following probability distribution :
X ________f(x)
100,000___ .10
200,000__ .20
300,000 __ .25
400,000 __ .30
500,000 ___.10
600,000 ___.05
To examine the validity of the distribution :
Each individual observation or point must have probability value in within the range (0 < p ≤ 1)
Where p = probability value.
The sum of the individual probabilities must add up to 0
(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)
= 1
Since the two consitions are meet, then, the probability distribution is valid
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write 12 32 in simplest form. You must show your work to receive all possible points.
Answer:Start by dividing the numerator and denominator by 2.
12/32 = 6/16
Now that can also be divided by 2.
6/16 = 3/8
That's as far as we can go because 3/8 can not be divided any more.
We could have divided 12/32 by 4 and saved a step.
The required simplest form of the 12 / 32 is 3 / 8.
Given that,
To write 12 32 in simplest form.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To write 12 / 32 in simplest form,m
= 12 / 32
= 4 * 3 / 2 * 4 * 4
Eliminating common terms that are common in numerator and denominator.
= 3 / 8
Thus, the required simplest form of the 12 / 32 is 3 / 8.
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Solve the equation n/3-4=2
Answer:n=18
Step-by-step explanation:
Jessica deposited $2000 into an account with a 7.6% annual interest rate, compared quarterly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $3722?
Answer:
Step-by-step explanation:
use
i=prt
i=interest
p= principal value
r=rate
t=time
now you want to find time then it will be
t= i/pr
put values
t= 3722/(2000*7.6%)
t= 2 years
calculation is in fraction but your question given you annual interest so time will also be 2 years not in months
Rachel types a 162 words in 18 minutes. Rachel types at a constant rate. How many words does Rachel type per minute
Hi!
Your answer Would be: about 20 words per minute.
Reason Being: 162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number. Also, 20.25 x 15 = 162.Therefore, the answer is 20.
Hope this helps!
Let me know if you need any more help, Id be delighted to!
Yours Truly,
~~~PicklePoppers~~~
By selling 75 apples, a seller gains the cost price of 15 apples.
find his gain percentage?
Answer:
20%Step-by-step explanation:
In this exercise, we want to convert the sellers gain or say represent the sellers gain as a percentage
step onegiven data
given that he sells a total of 75 apples
and also that he gains 15 apples
step twoTo solve or show the percentage gain, we have to divide the total sales by the profit made and multiply the result by 100, that way we have the percentage gain.
i.e (profit/total sales)*100
= (15/75)*100
= 0.2*100
= 20%
What is the value of y?
Answer:
D) 55°.
Step-by-step explanation:
The sum of angles in a triangle add up to 180°.
[tex]y+(y+30)+40=180[/tex]
[tex]2y+70=180\\[/tex]
Subtract 70 from both sides:
[tex]2y+70-70=180-70[/tex]
[tex]2y=110[/tex]
Divide both sides by 2:
[tex]\frac{2y}{2}=\frac{110}{2}[/tex]
[tex]y=55[/tex]
For each value of x, determine whether it is a solution to 3x + 5 = 8.
Is it a solution?:
-6: yes or no
-2: yes or no
7: yes or no
8: yes or no
Answer:
-6:No
-2:No
7:No
8:No
The only number to make this equation true is 1
Step-by-step explanation:
I will substitute each value in place of the variable. Hopefully you understand PEMDAS
3(-6)+5=8
-18+5=8
-13=8
-13 does not equal 8 so false.
3(-2)+5=8
-6+5=8
-1=8
-1 doe not equal 8 so false
3(7)+5=8
21+5=8
26=8
26 does not equal 8 so false
3(8)+5=8
24+5=8
29=8
29 does not equal 8 so false
Let's see what would make this true:
3x+5=8
3x=3
×=1
The solution is: :
-6:No
-2:No
7:No
8:No
The only number to make this equation true is 1
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
We will substitute each value in place of the variable.
we know PEMDAS
3(-6)+5=8
-18+5=8
-13=8
-13 does not equal 8 so false.
3(-2)+5=8
-6+5=8
-1=8
-1 doe not equal 8 so false
3(7)+5=8
21+5=8
26=8
26 does not equal 8 so false
3(8)+5=8
24+5=8
29=8
29 does not equal 8 so false
Let's see what would make this true:
3x+5=8
3x=3
x=1
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Seventh grade
Which of the following describe 16.2? Select all that apply.
natural
number
whole number
integer
rational
number
Nikolai is taking a taxi to school. He has to
pay $3 for the first mile and $1 for every
additional mile How much will Nikolai pay if
he travels five miles?
. Rohith purchased a book for Rs.573.75 and a pen for Rs.25.50. His father
gave him a Rs 1000 note. How much money is left with him after
purchasing both the things?
Answer:
Step-by-step explanation:
cost of book = Rs. 573.75
cost of pen = Rs. 25.50
total cost = 573.75 + 25.50 = Rs. 599.25
total money = Rs. 1000
money left with him = 1000 - 599.25 = Rs. 400.75
Hope this helps
plz mark as brainliest!!!!!!
determine the mean
14,2,15,7,4,12
Answer:
The mean is 9.
Step-by-step explanation:
How many numbers are there? 6.
The numbers add up to 54.
Divide 54 by 6, to get 9 numbers.
Answer:
9
Step-by-step explanation:
14 + 2 + 15 + 7 + 4 + 12 = 5454 ÷ 6 (the number of numbers we added above) = 9I hope this helps!
3
5
Jerry made a small rectangular table for his workroom. If the sides of the
table are 35- inches and 17- inches, which of the following gives the product
4
6
of these dimensions rounded to the nearest whole number of inches?
OA) 35 in. x 17 in.
OB) 36 in. x 18 in.
OC) 35 in. x 18 in.
OD 36 in. x 17 in.
Answer:
B
Step-by-step explanation:
cause on T4L you have to round it to the nearest whole and I put B and it was correct.
What is the simplified form of the complex fraction? 2x2+x−6x2−x−64x2−9x2+5x+6
Question:
Is that 6x square?
Equatons Unit Test
Determine whether the units are commensurable or incommensurable with grams?
Yes kilometers and kilograms
Demostración de cada una de las conclusiones de los siguientes razonamientos Por medio de inferencias lógicas. Si los secuestradores se cansan, se ponen nerviosos. Si los secuestradores están armados y se ponen nerviosos, la vida de los rehenes corre peligro. Los secuestradores están cansados y armados. Por consiguiente, la vida de los rehenes corre peligro.
Answer:.
Step-by-step explanation:Z
6. The cost to rent a room for a party is a one-time fee
of $90 plus $60 per hour for a DJ. If the cost of the party
was $300, how many hours did they have the DJ?
x = # of hours the DJ was booked
$90 + $60x = $300
Subtract $90 from both sides.
$60x = $210
Divide both sides by $60
x = 3.5 hours
They had the DJ for 3.5 hours
The sum of two numbers is 44. The second number is 4 less than three times the first number. Let x represent the first number and let y represent the second number. If the table will be used to guess and check, what should the equation be at the top of the last column? Numbers у x+y=44 ? O4 = 3-4x O y=4X-3 Oy=4-3x O Y=3X-4
Answer:
O4 = 3-4x
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
got 100 on test on edge
A town has a population of 4000 and grows at 2% every year. To the nearest year, how long will it be until the population will reach 6400?
Answer:
24 years
Step-by-step explanation:
Answer:24 years
Step-by-step explanation:
Trust me
Three sides of a quadrilateral are the same length, . The length of the fourth side is 7 inches The perimeter of the quadrilateral is 40 inches, write a equation thats represents the solution
Answer:
It’s 11 inches
Step-by-step explanation:
I had the question
The equation that's represents the solution is 3x+ 7= 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The perimeter of the quadrilateral is 40 inches.
The length of the fourth side is 7 inches
let the length of three equal sides are x unit each.
So, Perimeter of Quadrilateral = 40
x+ x +x + 7 = 40
3x = 33
x= 11
Hence, the equation is 3x + 7= 40.
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(PLEASE HELP!!!) Which of the following expressions is equivalent to a^6 + b^4? (1 point)
Answer:
Last option
(a³+ib²)(a³-ib²)
= a^6-i²b⁴
{(x+y)(x-y)=x²-y²}
=a^6+b⁴
{i²=-1}
(n - 7) > 2n - 3.
Solve for n
Answer: inequality form n < -4
Step-by-step explanation:
Answer:
n < -4
Step-by-step explanation:
(n-7) > 2n-3
n-7 > 2n -3
+ 3 +3
n-4 > 2n
-n -n
-4 > n
n < -4
6. DE with endpoints D(-3, -4) and E(4, 2) under the translation
(x, y) + (x + 1, y + 3)
Answer:
D'(-2, -1)
E'(5, 5)
Step-by-step explanation:
DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).
These points are translated by the rule to give the translated image as D'E',
(x, y) → (x + 1, y + 3)
By following this rule,
D(-3, -4) → D'(-3 + 1, -4 + 3)
→ D'(-2, -1)
E(4, 2) → E'(4 + 1, 2 + 3)
→ E'(5, 5)
Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).
Write 19/20 as a decimal
Answer:
95%
Step-by-step explanation:
All you have to do is multiply both number by 5 and after you do that you should get 95/100 and then since we have the 100 as the denominator then we could take the numerator and then you can take it off and then you have you decimal.
Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
[tex]x = \frac{17}{18}[/tex]
[tex]y = \frac{23}{6}[/tex]
Step-by-step explanation:
Given
[tex]y = 3x + 1[/tex]
[tex]Points = (0,0)\ to\ (-3,4)[/tex]
Required
Determine (x,y) equidistant from the equation and the given point
This question will be answered using distance formula;
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Considering The first Point [tex](0,0)\ to\ (x,y)[/tex]
[tex](x_1 ,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (x,y)[/tex]
The distance is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]d = \sqrt{0 - x)^2 + (0 - y)^2}[/tex]
[tex]d = \sqrt{(- x)^2 + (- y)^2}[/tex]
[tex]d = \sqrt{x^2 + y^2}[/tex]
Considering the second point: [tex](x,y)\ to\ (-3,4)[/tex]
[tex](x_1,y_1) = (x,y)[/tex]
[tex](x_2,y_2) = (-3,4)[/tex]
The distance is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]d = \sqrt{(x - (-3))^2 + (y - 4)^2}[/tex]
[tex]d = \sqrt{(x + 3)^2 + (y- 4)^2}[/tex]
[tex]d = \sqrt{x^2 + 6x + 9 + y^2- 8y + 16}[/tex]
[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 16 + 9}[/tex]
[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 25}[/tex]
Equate both values of d
[tex]\sqrt{x^2 + 6x + y^2- 8y + 25} = \sqrt{x^2 + y^2}[/tex]
Square both sides
[tex]x^2 + 6x + y^2- 8y + 25 = x^2 + y^2[/tex]
Collect Like Terms
[tex]6x - 8y + 25 = x^2 -x^2+ y^2 -y^2[/tex]
[tex]6x - 8y + 25 =0[/tex]
Recall that [tex]y = 3x + 1[/tex]
[tex]6x - 8(3x + 1) + 25 = 0[/tex]
[tex]6x - 24x - 8 + 25 = 0[/tex]
[tex]-18x+ 17 = 0[/tex]
[tex]-18x=- 17[/tex]
Solve for x
[tex]x = \frac{-17}{-18}[/tex]
[tex]x = \frac{17}{18}[/tex]
Substitute [tex]\frac{17}{18}[/tex] for x in [tex]y = 3x + 1[/tex]
[tex]y = 3 * \frac{17}{18} + 1[/tex]
[tex]y = \frac{17}{6} + 1[/tex]
[tex]y = \frac{17 + 6}{6}[/tex]
[tex]y = \frac{23}{6}[/tex]
