Answer:
100 ml
Step-by-step explanation:
(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.
A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial. (a) What is the probability that all four computers fail on one day
Answer:
625/100,000,000 or 6.25 out of one million
Step-by-step explanation:
(0.005)^4 = .000000000625 = 625/100,000,000
The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability that a computer fails on any single day is 0.005.
Let X denotes no. of computers fail on day
So, n = 4 , p = 0.05, q= 1-0.05=0.995
P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]
P (X = 4)
= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]
=1* 0.00000000063*1
=0.00000000063
=6.3*[tex]10^{-10}[/tex]
Hence, the probability that all four computers fail on one day is
=6.3*[tex]10^{-10}[/tex].
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Two similar solids A and B are shown.
B
А
3 cm
6 cm
Solid A has a volume of 60 cm.
a) Work out the volume of solid B.
Solid B has a total surface area of 140 cm?
b) Work out the total surface area of solid A.
Answer:
a)
Step-by-step explanation:
a)140cm3-60cm3=60cm of solid C
Answer:
a = 480 b = 35
Step-by-step explanation
:) dont forget correct units
help pls Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each ticket cost $6 or $8
Answer:
Cost of each ticket bought by Peter = $8 for each ticket
Step-by-step explanation:
Given:
Number of ticket bought by Peter = 9 tickets
Amount paid by Peter for tickets = $72
Find:
Cost of each ticket bought by Peter
Computation:
Cost of each ticket bought by Peter = Amount paid by Peter for tickets / Number of ticket bought by Peter
Cost of each ticket bought by Peter = 72 / 9
Cost of each ticket bought by Peter = $8 for each ticket
PLEASE HELP WITH THE SECOND QUESTION!
I'LL MARK BRAINLIEST!
Answer:
For question #2 about Teresa, it would cost her $1,004.80 to fence all around the circle garden.
Step-by-step explanation:
C = 2πr
C = 2 x 3.14 x 8
C = 50.24 ft.
50.24 x $20 = $1,004.80
The number 4 is what percent of 5? A. 0.8% B. 1.25% C. 80% D. 125%
Answer:
The answer is C. 80%
Step-by-step explanation:
Hope this helped:)
Is this model a function?
Explain.
(Someone pls be a decent human being and not send links, all links will be reported)
Answer:
Yes, that model is a function.
Step-by-step explanation:
A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
And the model shows that each domain ( x ) only goes to one codomain ( y ) which is what a function is.
I don’t know what 2⁄3 × 1⁄8 × 5⁄9 =
Answer:
5/108
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5/108
Step-by-step explanation:
2/3 * 1/8 is 2/24
^2/24 can be simplified to 1/12
^ 5/9 * 1/12 is 5/108.
Therefore,
Your answer is 5/108 , if I understood the question correctly.
what is the regular price r of a museum ticket before the discount? Enter the amount table.
Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
What is discount?
Discount is a reduction made from the gross amount or value of something.
What is regular price?
Regular price means the price at which similar goods or services are regularly sold on the market.
Given,
[tex]54=0.9r\\r=54/0.9\\r=60[/tex]
The regular price r is $60
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Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
hope this helps
Select all the expressions that are equivalent to –25(15 – 20d + 5c)
Answer:
-375+500d-125c
-125c+500d-375
What value of x and y will make the polygon below a parallelogram?
Answer:
[tex]x = 4[/tex]
[tex]y =1[/tex]
Step-by-step explanation:
Given
The attached figure
Required
x and y
If the attached is a parallelogram, then:
Either segment of a diagonal are equal; So, we have:
[tex]3x = 12[/tex]
[tex]x + y = 5y[/tex]
In [tex]3x = 12[/tex]
Divide both sides by 3
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]
[tex]4 + y = 5y[/tex]
Collect like terms
[tex]5y - y =4[/tex]
[tex]4y = 4[/tex]
Divide both sides by 4
[tex]y = \frac{4}{4}[/tex]
[tex]y =1[/tex]
At a book store, 5 fiction books are sold for every 7 nonfiction books sold. How many total books were sold if 35 nonfiction books were sold?
Answer:
25 Fiction books were sold.
Step-by-step explanation:
The total number of books is 60 books in all.
Answer:
Step-by-step explanation:Total number of books sold altogether in the end is 3040.Step-by-step explanation:A book shop sold fiction books and cartoon books at a ratio of 3:5. ... Then, it sold four times as many fiction books and 40% ... 28 fiction books sold 7 non fiction books are sold D. For every 35 fiction books are sold 11 ...
Factorial – is the product of natural numbers, for example:
5! = (5)(4)(3)(2)(1) = 120
Simplify the following expression:
1) 11! 2) 15! 3) 20!
8!(7-3)! 10!(9-5)! 13!
Answer:
Step-by-step explanation:
11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * [tex]10^{12}[/tex]
also looks like this 1,307,674,368,000
20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * [tex]10^{18}[/tex]
also looks like this 2,432,902,008,000,000,000
8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680
10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*[tex]10^{17}[/tex]
Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?
Which of the following could cause a 32 oz bag of chips to not weigh exactly 32 oz?
Answer:
you eat 1 chip
Step-by-step explanation:
eat 1 chip and you get 31 oz
On a coordinate plane, how are the locations of the points (7. -4) and (-7, 4) related?
OA.
reflection across both axes
OB.
reflection across the x-axis
OC. reflection across the y-axis
OD.
locations unrelated
Answer:OC
Step-by-step explanation:
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PLZ SOLVE ASAP
LOTS OF POINTS
WILL MARK BRAINLYEST
Answer: Betsy is incorrect.
Step-by-step explanation:
The area of a trapezoid is a+b/2 multiplied by h.
First, we should do 5+8/2= 6.5
Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.
6.5 times 4= 26
Betsy thought the answer was 52, but it is 26 so she is incorrect.\
I hope this helps, may god bless you! :)
Х
Compare fractions an
Compare the numbers using a >, <, or = symbol.
2 1/2 28/10
Answer:
2 1/2 < 28/10
Step-by-step explanation:
28/10 simplifies to 2 8/10 which simplifies to 2 4/5
(4x-1)2=11
whats the solution
Answer:
x = 13/8
Step-by-step explanation:
(4x−1)(2)=11
Simplify both sides of the equation.
(4x−1)(2)=11
(4x)(2)+(−1)(2)=11 (Distribute)
8x+−2=118x+−2=11
8x−2=11
Add 2 to both sides.
8x−2+2=11+2
8x=13
Divide both sides by 8.
8x/8 = 13/8
which brings you to the answer of
x = 13/8
(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)
What are the missing numbers in the data set? Assume the numbers are in order.
24, 28, 32, 39, ___ Range = 18
Group of answer choices
41
42
43
44
Answer:
42
Step-by-step explanation:
To find the range, first put all the numbers in order. Then subtract the lowest number from the highest.
Hope this helps!If you have any questions revolving around this topic,feel free to ask me and I will be happy to help,Good luck!
2/5 x - 3/2 = 1/4 x + 3/5
Answer:
x = 14
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] x - [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{5}[/tex]
Multiply through by 20 ( the LCM of 5, 2 and 4 ) to clear the fractions
8x - 30 = 5x + 12 ( subtract 5x from both sides )
3x - 30 = 12 ( add 30 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
A cube shaped box with 9 centimeter edges is used
for shipping glass figurines. What is the surface
area of the box?
A. 54 in2
B. 108 in2
C. 324 in2
D. 486 in
342 employees prefer a bonus over extra vacation days from a survey of 450 employees what is the population proportion
Answer:
76
Step-by-step explanation:
450/100 = 4.5
342/4.5 = 76
Please help me thank you
Answer:
19/24 option d is correct
Help please!! Due in 10 min
Answer:
Hello Answer: V = 20
Step-by-step explanation:
Hope this helps!
9514 1404 393
Answer:
v = 20 ft
Step-by-step explanation:
The similarity statement tells you the proportional sides:
IH/IK = IG/IJ
v/(10 ft) = (16 ft)/(8 ft)
v = 10 ft × (16 ft)/(8 ft) = 10 ft × 2
v = 20 ft
Use the drawing tools to form the correct answers on the graph.
Consider this linear function:
y = -23 – 5.
Plot all of the ordered pairs for the values in the domain.
D: {-6, -5, -2,0, 1}
Answer:
Step-by-step explanation:
Domain of a function defines the input values (x-values) of the function.
Given linear function is,
y = -2x - 5
Domain of the function is,
{-6, -5, -2, 0, 1}
By substituting the values of x in the equation we can get y-values (output values).
Input-output table for the function,
x -6 -5 -2 0 1
y 7 5 -1 -5 -7
Now we can plot these points of the graph.
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what is the answer??
Answer:
5625 bald eagles
Step-by-step explanation:
Given
[tex]y = 312.5x + 1562.5[/tex]
Required
Predict the numbers in 1998
First, we calculate the value of x
[tex]x = 1998 - 1985[/tex] ---- years since 1985
[tex]x = 13[/tex]
So, we have:
[tex]y = 312.5x + 1562.5[/tex]
[tex]y = 312.5*13 + 1562.5[/tex]
[tex]y = 4062.5 + 1562.5[/tex]
[tex]y = 5625[/tex]
Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students that had lunch.
Answer:
300 : 180 = 5 : 3
WVTU is a television station that has 20 thirty-second advertising slots during their regularly scheduled programming each evening. The station is now selling advertising for the first few days in November. They could sell all the slots immediately for $4,500 each, but because November 7 will be an election day, the station manager knows she may be able to sell slots at the last minute to political candidates in tight races for a price of $8,000 each. The demand for these last minute slots is estimated as follows:
8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02
Slots not sold in advance and not sold to political candidates at the last minute can be sold to local advertisers at a price of $2,000.
a. If the station manager sells all the advertising slots in advance, how much revenue will the station receive?
b. How many advertising slots should be sold in advance if the station manager wants to maximize expected revenue?
c. If the station manager sells in advance the number of slots identified in the previous question, what is the probability that the total revenue received will exceed the amount identified in part a where all slots are sold in advance?
Answer:
a. $90,000
b. 15 advertisement slots
c. 0.53
Step-by-step explanation:
Let the purchase price of the slots, c = 4,500
The salvage value of the slots, s = 2,000
The selling price of the slots, p = 8,000
a. If the store manager sells all the advertising slots in advance, the revenue received, 'R', is given as follows;
R = The number of slots, n × The purchase price for selling immediately, c
∴ R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage, [tex]C_o[/tex] = Purchase price - Salvage value
∴ The Cost of Overage, [tex]C_o[/tex] = 4,500 - 2,000 = 2,500
The Cost of Underage, [tex]C_u[/tex] = Selling price - Purchase price
∴ The Cost of Underage, [tex]C_u[/tex] = 8,000 - 4,500 = 3,500
P; 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
With help of MS Excel, we get the following cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute is given by the following relation;
[tex]C_u[/tex] × [1 - F(Q)] - [tex]C_o[/tex] × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we have;
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
Using MS Excel, we get;
For the 9th slot, the profit over the purchase price = $3,020
Fot the 10th slot, the profit over the purchase price = $2,420
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The 14th = $(-1,180)
15th = $(-1,480)
16th = $(-1,780)
17th = $(-2,080)
18th = $(-2,380)
19th = $(-2,500)
Therefore, to maximize profit, only the 8th, 9th, 10th, 11th, and 12th, slots which are 5 slots should be sold late while 20 - 5 = 15 slots should be sold in advance
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot which is given as follows;
P(D ≤ 12) = F(12) = 0.53.
The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot is 0.53.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
Given information
The demand for these last minute slots is estimated
8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02
The purchase price of the slots = 4,500
The salvage value of the slots = 2,000
The selling price of the slots = 8,000
a. The revenue received
R = The number of slots × The purchase price of the slot
R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage = Purchase price - Salvage value
The Cost of Overage, = 4,500 - 2,000 = 2,500
The Cost of Underage, = Selling price - Purchase price
The Cost of Underage, = 8,000 - 4,500 = 3,500
Probability 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
Cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute
The Cost of Underage × [1 - F(Q)] - × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we get
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
For the 9th slot, the profit over the purchase price = $3,020
For the 10th slot, the profit over the purchase price = $2,420
Similarly,
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The profit over the purchase price for the 14th = $(-1,180)
The profit over the purchase price for the 15th = $(-1,480)
The profit over the purchase price for the 16th = $(-1,780)
The profit over the purchase price for the 17th = $(-2,080)
The profit over the purchase price for the 18th = $(-2,380)
The profit over the purchase price for the 19th = $(-2,500)
Therefore, only the 8th, 9th, 10th, 11th, and 12th slots should be sold in advance to maximize profit.
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot.
P(D ≤ 12) = F(12) = 0.53.
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In the diagram below of triangle HJKHJK, LL is a midpoint of \overline{HJ}HJ and MM is a midpoint of \overline{JK}JK. If LM=71-9xLM=71−9x, and HK=23-xHK=23−x, what is the measure of LMLM?
Answer:
Step-by-step explanation:
Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x
6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18
the full segment HK is 18, each half of it is 9 =HJ=JK