Answer:
what you have to do is do 30000 * 5 and then do 6 divided by the number and then four times that number and whatever the answer you get be your answer hope this help
Select the word problem that can be modeled by the addition of two negative numbers. A Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions? B Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions? C Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? D Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?
Step-by-step explanation:
Word problem which can be modeled by the addition of two negative numbers :
A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions
Amount spent on cracker = - $4
Amount spent on carrot = - $3
Change in account = - 4 + (-3) = - $7
B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?
Amount received from sale of cat = $9
Amount spent on plant = - $4
Change in account = 9 + (-4) = $5
C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?
Amount received from sale of pottery = $9
Amount received from sale of hat = $2
Change in account = 9 + 2 = $11
D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Amount spent on VCR = - $8
Amount received from sale of VCR = $9
Change in account = - 8 + 9 = $1
The probability of getting a white marble from the bag is 1/6. If there are eight white marbles in the bag, what is the total number of marbles in the bag?
A. 36
B. 24
C. 48
D. 14
Answer:
C: 48
Step-by-step explanation:
1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48
Answer:
48 marbles, it's C
Step-by-step explanation:
why?
Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.
So you just get 1/6 to 6/6
so you do, 8*6 which equals to 48
Consider the following cost function.
A. Find the average cost and marginal cost functions.
B. Determine the average and marginal cost when x = a.
C. Interpret the values obtained in part (b).
C(x) = 1000 + 0.1x, 0 ≤ x ≤ 50000 ≤ x ≤ 5000, a = 2000
Answer:
a)Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) [tex]\bar{C(2000)}=0.6[/tex]
[tex]C'(2000)=0.1[/tex]
c)[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
Step-by-step explanation:
Cost function: [tex]C(x) = 1000 + 0.1x[/tex]
a)Find the average cost and marginal cost functions.
Average cost function =[tex]\bar{C(x)}=\frac{C(x)}{x}[/tex]
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) Determine the average and marginal cost when x = a.
a = 2000
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6[/tex]
So, [tex]\bar{C(2000)}=0.6[/tex]
Marginal cost function =[tex]C'(2000)=0.1[/tex]
c)Interpret the values obtained in part (b).
[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
Suppose that minor errors occur on a computer in a space station, which will require re-calculation. Assume the occurrence of errors follows a Poisson process with a rate of 1/2 per hour. (a) Find the probability that no errors occur during a day. (b) Suppose that the system cannot correct more than 25 minor errors in a day, in which case a critical error will arise. What is the probability that a critical error occurs since the start of a day? Keep up to the 6th decimal place in your answer. (c) Suppose the error correction protocols reset themselves so long as there are no more than five minor errors occurring within a 2 hour window. The system just started up and an error occurred. What is the probability the next reset will occur within 2 hours?
Answer:
a
[tex] P(X = 0) = 0.6065 [/tex]
b
[tex]P(x < 25 ) = 1.18 *10^{-33} [/tex]
c
[tex] P(x \le 5 ) = 0.9994 [/tex]
Step-by-step explanation:
From the question we are told that
The rate is [tex]\lambda = \frac{1}{2}\ hr^{-1}[/tex] = 0.5 / hr
Generally Poisson distribution formula is mathematically represented as
[tex]P(X = x) = \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]
Generally the probability that no error occurred during a day is mathematically represented as
Here t = 1 hour according to question a
So
[tex]P(X = x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Hence
[tex][tex]P(X = 0) = \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]
=> [tex] P(X = 0) = 0.6065 [/tex]
Generally the probability that a critical error occurs since the start of a day is mathematically represented as
Here t = 1 hour according to question a
So
[tex]P(X = x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Hence
[tex]P(x \ge 25 ) = 1 - P(x < 25 )[/tex]
Here
[tex]P(x < 25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]
=> [tex]P(x < 25 ) = \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]
[tex]P(x < 25 ) = 0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]
[tex]P(x < 25 ) = 0.6065 + \cdots + 6.0*10^{-32}[/tex]
[tex]P(x < 25 ) = 1.18 *10^{-33} [/tex]
Considering question c
Here t = 2
Gnerally given that the system just started up and an error occurred the probability the next reset will occur within 2 hours
[tex]P(x \le 5 ) = \sum_{n=0}^{5} \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]
=> [tex]P(x \le 5 ) = \frac{(0.5 * 2) ^ 0 e^{- 0.5 * 2 }}{0!} + \cdots + \frac{(0.5 * 2) ^ 5 e^{- 0.5 * 2 }}{5!}[/tex]
=> [tex]P(x \le 5 ) = \frac{1* 2.7183 }{1 } + \cdots + \frac{1 *2.7183 }{120}[/tex]
=> [tex]P(x \le 5 ) = 2.7183 + \cdots + 0.0226525[/tex]
[tex] P(x \le 5 ) = 0.9994 [/tex]
A probability experiment is conducted in which the sample space of the experiment is S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E={2, 3, 4, 5, 6, 7}, event F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}. Assume that each outcome is equally likely. List the outcome s in For G. Now find P( For G) by counting the numb er of outcomes in For G. Determine P (For G ) using the General Addition Rule.
Answer:
The answer is " [tex]\bold{\frac{2}{3}}[/tex]"
Step-by-step explanation:
Given set:
[tex]\to F \ or\ G = \{ 5,6,7,8,9,10,11,12\}[/tex]
In the above-given set, there are 8 elements and 12 possible outcomes so, the equation is:
[tex]\to P( F\ or \ G) = \frac{8}{12}[/tex]
[tex]= \frac{2}{3}[/tex]
by using the general addition Rule:
[tex]\to P(F \cup G) = P(F) +P(G)- P(F \cap G)[/tex]
[tex]=\frac{5}{12}+\frac{4}{12}- P(E \cap H)\\\\=\frac{6}{12}+\frac{3}{12}- \frac{1}{12}\\\\=\frac{6+3-1}{12}\\\\=\frac{8}{12}\\\\=\frac{2}{3}\\\\[/tex]
A scaled drawing of a rectangle park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park in square units?
Area of the actual park is 56000 square yards.
Step-by-step explanation:
A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.
Actual length of the park has been given as 280 yards.
So scale factor used in the drawing is 7 inches
= 280 yards
Or 1 inch = 40 yards
Since width of the rectangular park is = 5 inch
So actual width of the park will be = 5×40 = 200 yards
Now we can calculate the area of the park.
Actual area of the park = Length × Width
= 280×200
= 56000 yards²
Therefore, area of the actual park is 56000 square yards.
i’ll mark brainlest! pls help! :/
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
d = [tex]\sqrt{(5-(-4)^2+(5-(-4)^2 \\[/tex]
d = [tex]\sqrt{(9)^2+(9)^2[/tex]
d = [tex]9\sqrt{2}[/tex]
Answer:
D i think... sry if im not correct i tried my best
Step-by-step explanation:
I need help ASAP!! Please
Answer:
26.31
Step-by-step explanation:
You just have to count up the shapes in each place.
Please help answer this I will make you brainlst
Answer:
Read the comments that is where i put the answer at + my work.
PLEASE PLEASE help me
Answer:
I couldn't fit it all in one photo but here you go!
Working simultaneously, eight pumps fill in a pool in 32 hours. All pumps work at the same pace. If only half of the pumps are working, in how many hours will the pool be filled in?
Answer:
64 hours
Step-by-step explanation:
Since there are only half of the pumps that are working the time will double. 32x2 is 64
Answer: 16 hours
Step-by-step explanation
Step 1: Split 8 in half because we are using half the amount of pumps which is 4. Now we know the amount of pumps being used.
Step 2: Next we find the unit rate by dividing 32 and 8 to get 4
Step 3: Lastly we multiply 4x4 because 4 is the amount of pumps being used and the other 4 is the unit rate. Once we multiply we get 16 which is the answer: 16 hours
Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?
Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
When three numbers are added two at a time, the sums are 29, 46, 53. What is the sum of all three numbers?
Answer:
[tex]Sum = 64[/tex]
Step-by-step explanation:
Let the three numbers be a, b and c; such that:
[tex]a + b = 29[/tex] ---- (1)
[tex]b + c = 46[/tex] --- (2)
[tex]a + c = 53[/tex] --- (3)
Subtract equation 2 from 3
[tex]a - b + c - c = 53 - 46[/tex]
[tex]a - b = 7[/tex] --- (4)
Add this equation to the (1)
[tex]a + a + b - b = 29 + 7[/tex]
[tex]2a= 36[/tex]
Solve for a
[tex]a = 36/2[/tex]
[tex]a = 18[/tex]
Substitute 18 for a in (1)
[tex]a + b = 29[/tex]
[tex]18 + b = 29[/tex]
Solve for b
[tex]b = 29 - 18[/tex]
[tex]b = 11[/tex]
Substitute 11 for b in (2)
[tex]b + c = 46[/tex]
[tex]11 + c = 46[/tex]
Solve for c
[tex]c = 46 - 11[/tex]
[tex]c = 35[/tex]
[tex]Sum = a + b +c[/tex]
[tex]Sum = 18 + 11 + 35[/tex]
[tex]Sum = 64[/tex]
PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!
Answer:
2034
Step-by-step explanation:
For a school project, the school bought 36 hamsters for $5.90 each and 40 cages for $30.25 each.
How much did the school spend in all?
The length of a rectangle is 2 times the width. If the perimeter is to be less than 96 meters. What are the possible
values for the width? (Use w as the width)
Preview
TIP
Enter your answer using inequality notation. Example: 3 <=w<4
Use or to combine intervals. Example: w< 2 or w >= 3
Enter all real numbers for solutions of that type
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243,
5+4)
Enter DNE for an empty set. Use oo to enter Infinity.
Answer:
W>16
Step-by-step explanation:
The formula for calculating the perimeter of a rectangle:
P = 2L+2W
L is the length of the rectangle
W is the width of the rectangle:
Given
P = 96m
If the length of a rectangle is 2 times the width, then L = 2W
Substitute into the formula:
Since the perimeter is less than 96m
96 < 2(2W)+2W
96 < 4W+2W
96 < 6W
Divide both sides by 6:
96/6 < 6W/6
16 < W
W>16
Hence the possible values of the width are all values greater than 16.
Help I will award brainliest help asap! Uwu: If a man can run p miles in x minutes, how long will it take him to run q miles at the same rate?
Answer:
Speed= Dist/time= p/x miles per minute
Time to run q miles=q divided by p/x= qx/p minutes
Step-by-step explanation:
what is two and three hundreds seventy thousandths in decimal form
Answer:
2.370
Step-by-step explanation:
In this, the word "and" means the decimal point so:
two and 3
=
2.3
so the tenths place would be the first number after the decimal point, you can think of it as counting backwards. 1000 100 10 "0" 0.1 0.01 0.001
thousnd hundrd tn zro tnths hundrds thousndths
so the 3 hundred would be 0.3 and the sevenTY thousandths would be 0.070
so add that all up and you get:
2.370
or
two and three hundreds seventy thousandths
Hope this helped! Pls Brainliest! It would help and mean a lot! ; )
The length of a rectangle is 5 cm more than 2 times its width. The perimeter of the rectangle is 34. Define variables to find both length and width. Write an equation to find the perimeter of the rectangle. What are the dimensions of the rectangle?
Answer:
many take time and solve it step by step
Step-by-step explanation:
sorry I am lost
Confused on this please help
Answer: it would be half the size
Step-by-step explanation:
PLEASE HELP WILL GIVE CROWN
A submarine is 50 feet below sea level. It rises toward the surface for 12 seconds at a rate of 3 feet per second.
How many feet below sea level is the submarine when it is finished rising?
Answer:
14
Step-by-step explanation:
umm I don't know if im dumb but isn't it just 3 times 12 giving you 36 and than 50 minus 36 with an answer of 14
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
Answer:
Y= 17.5
Step-by-step explanation:
140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5
You just got off the Haunted Mansion ride and the next ride you want to go
on is Splash Mountain. You have a fast pass that requires you to arrive at
Splash Mountain in 7 3⁄4 minutes. Splash Mountain is 1 3/5 miles away. You are able to cover 2/7 of a mile every minute. Can you make it to Splash Mountain?
Answer:
You can make it to Splash Mountain
Step-by-step explanation:
From the question,
The distance you need to cover to Splash Mountain is 1 3/5 miles, and the time you have to arrive there is in 7 3/4 minutes.
Also, from the question,
You are able to cover 2/7 of a mile every minute, that is
Your speed is 2/7 mile per minute
To determine if you can make it to Splash Mountain, we will determine the distance you can cover, traveling at this speed of 2/7 mile per minute for 7 3/4 minutes. If the distance you can cover is more than 1 3/5 miles, then you can make it; but if the distance you can cover is less than 1 3/5 miles, then you cannot make it.
From
Speed = Distance / Time
Distance = Speed × Time
Speed = 2/7 mile/minute
Time = 7 3/4 minutes = 31/4 minutes
∴Distance = 2/7 × 31/4
Distance = 31/14 miles = 2 3/14 miles
The distance you can cover traveling 2/7 of a mile every minute for 7 3/4 minutes is 2 3/14 miles, since this is more than 1 3/5 miles, then you can make it to Splash Mountain.
Hence, you can make it to Splash Mountain.
4. Tell whether the equation is a linear equation.
4x-3y = 2
Answer:
What Is X and Y
Step-by-step explanation:
Answer:
It is a linear equation.
Step-by-step explanation:
It has no squares in the equation, meaning the line is straight, therefore meaning the equation is linear.
Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 68 pounds.
How much does Paula's dog weigh?
Use the diagram to find the weight of Paula's dog.
Carla's dog
Paula's dog
68 pounds
68 + 4 =
so Carla's dog weighs
pounds and Paula's dog weighs
pounds.
w
Answer:
51
Step-by-step explanation:
68/4=17
68-17=51
Answer:
Paula's dog weighs 51 pounds.
Carla's dog weighs 17 pounds.
17 times 3 equals 51.
Then 17 added to 51 equals to 68.
How to solve this ??
Answer:
They would take 237,944 steps next month
Step-by-step explanation:
1 1 1 1
118972
x 2
237,944
So its asking you to add 118,972 by 118,972 using standard algorithm of addition.
Standard algorithm of addition is where you line the numbers your adding on top of eachother by place.
So you must the two numbers to get 237,944
The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
, and the number of students who got a grade higher than 84% is about
.
Answer:
(5,100)
Step-by-step explanation:
Solve the following expression when a=5
4^2+5a-2a
Answer: 31 i think
Step-by-step explanation:
What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
Answer:
Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)
Step-by-step explanation:
XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD
can someone help me with this problem