Answer:
$40Step-by-step explanation:
45% = 45/100 = 0.45
0.45x = 18x = 18/0.45x = 40100% is $40
Answer:
solution given;
let total be X
45% of X=$18
X=$18×100/45=$40
So.100% is $40.
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day
Answer:
tsc = 8*1*10 = $80
twc = 8*20*0.0667*12 = $128.06
tc = 80 + 128.06 = $208.06
Step-by-step explanation:
To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).
Total service cost = (the number of channels)(cost per channel)
tsc = m*Cs
There is only 1 employee so the number of channels is 1.
The cost for this channel is $10 per hour, so 10 * 8 hours in the day.
Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)
twc = (number of arrivals)(average wait per arrival) Cw
The number arrivals is at the rate of 20 per hour.
The average wait per arrival was found as Wq previously.
Wq = 20/(30*(30-20)) = 0.0667 hours
The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.
Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.
Help me please I need help with this math homework
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
which expression is equivalent to (2x ^2 +6)(x-2)
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation: First multiply 2x^2 to x - 2 to get 2x^3 - 4x^2
and then multiply 6 to x - 2 to get 6x - 12. Then put the equation together:
2x^3 - 4x^2 + x - 2
A 6-foot ladder is placed against a wall with its base 2
feet from the wall. How high up the wall is the top of the
ladder? (HINT: Draw a diagram to help you visualize
the problem.)
5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
A: x/11 = 5/9.70
B: 11\$9.70 = x/5
C: 5/11 = x/9.70
D: 11/5 = 9.70/x
E: None of the above
Which of the following functions shows the absolute value parent function,
F(x) = |xl, horizontally stretched?
Answer: A
Step-by-step explanation:
Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –
ppppp)is dilated from the origin by scale factor r to the world
Anyone know how to answer this question
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Answer:
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to
If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.
What is binomial distribution ?The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).
E(X) = np
Given that,
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.
If 10 donuts are sold.
Then the number of the sprinkles would be
The probability would be
p = 3/6
p = 0.5
n = 10
Now, the expected value of the number of the sprinkles will be
E(x) = 10 x 0.5
E(x) = 5
Hence, the number of sprinkles is 5
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PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:A
Step-by-step explanation:
● Alternate interior angles are always equal.
How are other options incorrect?Angles given in option A are forming linear pair.Angles given in option B are too forming a linear pair.Angles given in option D are corresponding angles.AB = [ 4 ]. Find A if B=(22]
Answer:
A = 2/11
Step-by-step explanation:
22A= 4
(22A)/22 = 4/22
A = 4/22 = 2/11
The length of a rectangle is 16 meters and the width is 3 meters. Find the area.
Answer:
16x3= 48 so the answer is 48m^2
I’m a little confused.
Answer:
about 27 degrees
Step-by-step explanation:
all you do is 10 minus the negative 17 which two negative equal a positive so its then 10 +17 which equals 27
Does the set of points represent a function? Explain.
there is a 60% chance that your flight will leave on time
What are chances it will not leave on time
Answer:
The correct answer would be 40
Step-by-step explanation:
40+60=100
Michelle opened an
interest-bearing savings
account. She deposited $8,750
into the account. If the account
earns 1.3% interest, what will
be Michelle's balance after two
years?
PLEASE HELP
What happens when you add two numbers that are opposites?
Example:
[tex] - 33 + - 37[/tex]
Susannah is buying lunch for her friends at a restaurant. The bill is $50, and she wants to
leave an 18% tip.
Answer:
she tips $9
Step-by-step explanation:
If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?
Answer:
2 teams
Step-by-step explanation:
13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.
There are 1287 different teams of 5 students can be formed for competitions.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
The Math Olympiad Club consists of 13 students.
And, To form different teams of 5 students can be formed for competition.
Hence, We get;
Number of different teams of 5 students can be formed for competitions is,
⇒ ¹³ C ₅
⇒ 13! / 5! 8!
⇒ 1287
Thus, There are 1287 different teams of 5 students can be formed for competitions.
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pls help!!
What is the equation of a line that is parallel to the line 4x + y = 8 and has a y-intercept of 12?
A. x + 3y = 2
B. 4x + y = 12
C. 12x + y = 8
D. x - 4y = -48
Answer:
B. 4x+y=12
Step-by-step explanation:
You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.
helppppppppppppppppppp
Answer:
X =64
Step-by-step explanation:
1- “Dados provenientes de 2.783 homens e 5.018 mulheres maiores de 65 anos de idade da Pesquisa Nacional de Saúde dos Estados Unidos de 1990 determinaram a prevalência de atividade física regular, que naquele estudo foi definida como a participação em atividades físicas no tempo livre por três ou mais vezes por semana e por mais de 30 minutos nas últimas duas semanas. Com esses parâmetros os autores encontraram uma prevalência de atividade física regular de 37% no sexo masculino e 24% no sexo feminino.” Quantos idosos do sexo masculino e do sexo feminino praticam atividade física regular?
Answer:
no hable spanish
Step-by-step explanation:
I need this assignment done will give brainliest and extra points.
Answer:
1a.2.5x³-2.25x²+3.5x-1.5
1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)
2a.-2x⁶+7x⁴+3x³-3x²+11x+20
2b.Yes. When multiplying, it doesn't matter which term/expression you put first
3. The equation has two solutions: x=-2, x=3
Step-by-step explanation:
1. (a)
(0.5x-0.25)(5x²-2x+6)
0.5x(5x²-2x+6)-0.25(5x²-2x+6)
2.5x³-x²+3x -1.25x²+0.5x-1.5
2.5x³-2.25x²+3.5x-1.5
(b)
(0.25x-0.5)(5x²-2x+6)
0.25x(5x²-2x+6)-0.5(5x²-2x+6)
1.25x³-0.5x²+1.5x -2.5x²+x-3
1.25x³-3x²+2.5x-3
This is not equal to our answer for 1(a), so we can see they're not the same.
2(a)
(-2x³+x-5)(x³-3x-4)
-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)
-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20
-2x⁶+7x⁴+3x³-3x²+11x+20
(b)
Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.
3
2x²-2x-12=0
(divide each term by 2)
x²-x-6=0
(x+2)(x-3)=0
Anything multiplies by zero is zero, so either x+2=0 or x-3=0
If x+2=0, x=-2. If x-3=0, x=3.
The equation has two solutions: x=-2, x=3
Steven jogs around a circular field with a diameter of 70 yd. Find the area of the field.
Answer:
3848.46 :)
Step-by-step explanation:
What value will make the equation true?
Answer:
-.6
Step-by-step explanation:
-2.1 - x = -1 1/2
Change the fraction to a decimal
-2.1 -x = - 1.5
Add 2.1 to each side
-2.1 -x+2.1 = -1.5 +2.1
-x = .6
Multiply each side by -1
x = -.6
Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Answer:
Mr. Esposito is taller by 8 inches
Step-by-step explanation:
Mr. Esposito
12x5 = 60 + 11 = 71
Mrs. Humbert
63 inches = 5 foot and 3 inches
71 - 63 = 8
help please, asap. i need this done
Answer:
30
Step-by-step explanation:
24/4=6
42/7=6
6 x 5=30
Which prism has the largest surface area?
Answer: a
Step-by-step explanation:
New car is purchased for $20,700 dollars. The value of the car depreciate at 5% per year. To the nearest 10th of the year, how long will it be Until the value of the car is at $14,900 dollars ?
Answer:
6.4,,,,,,,,,,,,,,****