number of cupcakes lynn made = x
number of cupcakes santo baked = 2x - 4
hope this helps and please mark me brainliesr. PLEASE!!!!
A factory process requires 3 steps to finish a product. The steps each have a mean completion time of μ=10 seconds and a standard deviation of σ=5 seconds. The time it takes to complete each step is independent from the other steps. Let T be the total completion time of the 3 steps on a randomly chosen product.
Find the mean of T.
Answer:
The mean of T is 10 seconds
Step-by-step explanation:
The given parameters are;
The mean completion time of each step, μ = 10 seconds
The standard deviation, σ = 5 seconds
Each step is independent from the other steps
The variable that represents the total completion time for the three steps = T
We have the mean of T, [tex]\overline T[/tex], given by the combined mean as follows;
[tex]\overline T = \dfrac{n_1 \cdot \overline x_1 + n_2 \cdot \overline x_2 + n_3 \cdot \overline x_3 }{n_1 + n_2 + n_3 }[/tex]
Where;
[tex]The \ mean \ completion \ time \ for \ each \ step \ is \ \overline x_1 = \overline x_2 = \overline x_3 = 10 \ seconds[/tex]
n₁ = n₂ = n₃ = 1, each step is taken only once, we have;
[tex]\overline T = \dfrac{1 \times 10 + 1 \times 10 + 1 \times 10 }{1 + 1 + 1 } = \dfrac{30}{3} = 10 \ seconds[/tex]
Therefore, the mean of T = 10 seconds
Using the normal distribution, it is found that the mean of T is of 30 seconds.
A normal distribution has two parameters: Mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].
For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex].In this problem, the mean is [tex]\mu = 10[/tex] and the standard deviation is [tex]\sigma = 5[/tex].
For the total completion, there are 3 instances, hence [tex]n = 3, n\mu = 3(10) = 30[/tex], hence, the mean of T is of 30 seconds.
A similar problem is given at https://brainly.com/question/24085252
A department store buys 100 shirts at a cost of $700 and sells them at a selling price of $10 each. Find the percent markup
Answer:
30%
Step-by-step explanation:
The price for each shirt to buy is: $ 700/100 = $ 7 / each
Selling price is: $ 10 / each
So the difference between the selling and buying prices is: $ 10 - $ 7 = $ 3
So 100 each, the interest is: $ 3 X100 = $ 300 => 30%
Characterize the slope of the line in the graph,
A. Positive
B. Negative
C. Zero
D. Undefined
Joseph drove to Carly’s house for dinner. He was away from his house for 2 hours. He spent 50minutes at Carly’s house. Driving to and from Carly’s house he drove at a speed of 45mph. How far away from Carly does Joseph live?
70 miles
Hope this helps
-Millie
1. Fill in the blank: When I text, I mostly misspell '----' as '---'.
2. Fill in the blank: When I text, my autocorrect changes '---' to '----'.
3. True or false: You have more than one Brainly account.
4. True or false: The Eiffel Tower is high like your grades.
5. (Optional) 3x+4=13 solve for x
6. What's your Hogwarts house?
7. Draco or Harry?
8. Remus Lupin or Serius Black?
9. True or False: KPOP is trash.
10. True or False: KPOP is everything.
When i text i mostly misspell, carrot as caroot
When i text, my autocorrect changes rat to fat.
False
True B)
Answer:
5 : x=3
Step-by-step explanation:
— 2y – Зу +8 = 8 — 5у – 12
Answer:
No Solution.
Step-by-step explanation:
Equality equation:
— 2y – Зу +8 = 8 — 5у – 12 (Given)
-5y + 8 = -4 - 5y (distributive property of equality)
-5y = -12 - 5y (subtraction property of equality)
= -12 (addition property of equality)
when you add 5y on both sides it cancels the 5y out, it's no solution.
Ace-The Kid Laroi
This graph shows the solution to which inequality?
-3,-3)
O A. y> x-2
O B. y< - 2
O C. y> fx-2
O D. y< 1/x-2
Answer:
The answer is C. y > 1/3x - 2
_____________________
Explanation:
> [greater than], and < [less than] are dashed or an unfilled circle because the value is not included, and only less than or greater than.
≥ [greater than or equal to], and ≤ [less than or equal to] are solid lines or a filled circle because the value is included, and is less than or greater than.
There are 50 carpenters in a crew. On a certain day, 15
were present. What percent showed up for work?
Answer:
30
Step-by-step explanation:
15:50*100 = ( 15*100):50 = 1500:50 = 30
Answer:
thirty
Step-by-step explanation:
cuz dis bussin. duh.
Which of the numbers below is less than zero? Select all that apply.
A-3
B) -9/2
C) 3.5
D) 3/4
E) -4.5
Answer:
A, B, E area ll less than 0
Step-by-step explanation:
They are all negative numbers.
Answer:
A, B, E
Step-by-step explanation:
All negative numbers are less than zero.
Please tell me how to do this or give me the answer either one is fine with me!!!!
:)
Answer:
16.85 cm²
Step-by-step explanation:
Find the area of the small circle then subtract the area of the large circle by the small circle
Area of small circle :
πr², where r = 4cm
π(4²) = 50.27 cm²
67.12 - 50.27 = 16.85 cm²
What goes on the lines I don’t understand the problem
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = [tex]-\frac{5}{3}x+14[/tex]
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
Which expression is equivalent to x^5 • x^2?
x^3
x^7
x^10
(x + x)^7
Answer: x^7
Step-by-step explanation: x5*x2
=(x*x*x*x*x)*(x*x)
=x*x*x*x*x*x*x
=x7
What are the slope, m, and the y-intercept, B, of a line that pases through the points (-2,1)and (8,-5)?
A. m=-5/3 and b=-7/3
B. m=-3/5 and b=-1/5
C. m=-3/5 and b=11/5
D. m=5/3 and b=13/3
Answer:
B. m= -3/5 and b= -1/5Step-by-step explanation:
Given points:
(-2, 1) and (8, -5)Slope is:
m = (y2 - y1)/(x2 - x1)m = (-5 - 1)/(8 - (-2)) = -6/10 = -3/5m = -3/5Use formula y = mx + b, substitute x = -2, y = 1, m = -3/5, find y-intercept b:
1 = (-3/5)*(-2) + b1 = 6/5 + bb = 1 - 6/5b = - 1/5Correct option is B.
Step-by-step explanation:
[tex] m \: = \: -3/5 \: and \: b \: = \: -1/5[/tex]
Tyson brought a bag of coins into the bank to be counted. The bag contained only nickels and
dimes. There were a total of 220 coins and the total value of those coins was $15.50.
Use what you have learned about systems of linear equations to determine how many of the coin
were nickels and how many were dimes. Then, fill in the blanks below with your answer.
number of nickels is
number of dimes is
There will be 130 nickels and 90 dimes. 100 nickels is 5 dollars. 90 dimes are 9 dollars. And then there will be 30 left. 30 dimes isn’t 1.50$ bur 30 nickels is 1.50$ so you add the 30 to the nickels and it’ll be exactly 15.50$.
Answer:
15 50..…......................
A football team lost a total of 2 1/2 yards in 5 plays. What was the average change in yardage per play?
Answer:
0.5 yards
Step-by-step explanation:
average change in yardage per play = total yards / number of plays
2.5 yards / 5 = 0.5 yards
6x - 12 y = 24
-X-6y=4
Answer:
x=2
y=-1
Use the system of equations to solve for it
Simplify
-6 - 7(c + 10)
A 64 - 7c
B -76 - 7c
C 4 - 13c
D -16 - 13c
HELP ASAP PLS I RLLY NEED HELP
Answer:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
Step-by-step explanation:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
HELP PLEASE I ONLY NEED THESE LAST ONES
Answer:
For the first one its 600 yards...and for number 6 its 351.86
At the instant when the radius of a cone is 3 inches, the volume of
the cone is increasing at the rate of 9 pi cubic inches per minute. If
the height is always 3 times the radius, find the rate of change of the
radius at that instant.
Answer:
The rate of change of the radius of the cone when the radius is 3 inches is 0.[tex]\overline 3[/tex] inch/minute
Step-by-step explanation:
The given parameters are;
The radius of the cone = 3 inches
dV/dt = 9·π in.³/min
The height, h = 3 × Radius, r
The formula for the volume of a cone, V is V = 1/3×π×r²×h = 1/3×π×r²×3×r = π·r³
Therefore, we have;
dV/dt = dV/dr × dr/dt
dV/dr =3·π·r²
∴ dr/dt = dV/dt/(dV/dr) = 9·π/(3·π·r²) = 3/r²
When r = 3 inches, we have;
dr/dt = 3/r² = 3/(3²) = 1/3 inch/minute
The rate of change of the radius of the cone when the radius is 3 inches = 0.[tex]\overline 3[/tex] inch/minute
The length of a rectangle is 2 feet more than twice the width. The perimeter is 34 feet. What are the dimensions of the rectangle?
Answer:
5 feet
Step-by-step explanation:
5(2) + 2 = 12
12 x 2 = 24
5 x 2 = 10
10 + 24 = 34.
Hope It Helps!
The dimensions of a rectangle are;
Length = 32 feet
Width = 15 feet
Here,
The length of a rectangle is 2 feet more than twice the width.
The perimeter of a rectangle is 34 feet.
What are the dimensions of the rectangle?
The two main dimensions of a rectangle are length (L) and width (W).
Now,
Let width of the rectangle is x
Then, length of rectangle is 2x + 2
The perimeter of a rectangle is 34 feet.
⇒ x + x + (2x + 2) +( 2x + 2) = 34
⇒ 6x + 4 = 34
⇒ 6x = 30
⇒x = 5
Hence, The dimensions of a rectangle are;
Length = 2x + 2 = 32 feet
Width = x = 15 feet
Learn more about The dimensions of a rectangle visit:
https://brainly.in/question/587424
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Please he me the correct answer
Answer:
It will cost $215 for 2 guests to rent a cabin.
Step-by-step explanation:
$175+20(2)=$215
The total for both 2 guests are $390. Each time someone rents a cabin they have to add $20 more. $175+$20+$195. So $195 will the cost for a cabin for a guest. But we need 2 cabins which means to multiply $195 with 2 which gives you $390. So both 2 guests needs $390 to rent 2 cabin.
please help it’s due today
What is the equation of the line in point-slope form that passes through the point (7,-4) and has a slope of 1/2 ?
a. y+ 7 = 1/2 (x – 4)
b.y-7= 1/2 (x + 4)
c.y - 4 = 1/2 (x + 7)
d.y+4 = 1/2(x - 7)
Answer:
d. [tex]y+4=\frac{1}{2}(x-7)[/tex]
Step-by-step explanation:
Here m=1/2 and (x1, y1)=(7, -4)
Equation of line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
Therefore
[tex]y+4=\frac{1}{2}(x-7)[/tex]
Suzy is using a bucket to collect nuts from a nut tree. She then dumps the bucket into a barrel for shipping of the nuts. She notices that 1 over 2 the bucket of nuts fills 2 over 3 of the barrel.
Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)
Part B: Explain your answer in words. (2 points)
9514 1404 393
Answer:
a) b = (1/2)/(2/3); b = 3/4
b) it takes 3/4 bucket to fill a barrel
Step-by-step explanation:
a) Apparently, the number of buckets and the number of barrels is proportional, so we can write an equation for b, the number of buckets to fill a barrel, as ...
buckets/barrels = b/1 = (1/2)/(2/3) . . . . the equation
Of course, b/1 = b, so we simply need to simplify the compound fraction to find the solution.
b = (3/6)/(4/6)
b = 3/4 . . . . the solution to the equation
__
b) The solution to the equation is the answer to the question. It takes 3/4 bucket of nuts to fill the barrel.
PLEASE ANSWER ASAP TY
In triangle ABC below, BD is the altitude. Find the length of DC. Leave your answer in
simplified radical form.
Answer:
Step-by-step explanation:
Step 1: Find AB Use Pythagoras Theorem
AB = [tex]\sqrt{AC^{2} -BC^{2} } = \sqrt{12^{2} -8^{2} } = \sqrt{80}[/tex]
Step 2: Find the Area of the triangle ABC
Area = [tex]\frac{1}{2}AB.BC = \frac{1}{2}\sqrt{80}.8 = 4\sqrt{80}[/tex] = [tex]16\sqrt{5}[/tex]
Step 3: Find BD. Use the area of the triangle above
Area = [tex]\frac{1}{2}BD.AC[/tex]
We already known the Area and AC so, we just plug all the number in
BD = [tex]\frac{2. Area}{AC}[/tex] = [tex]\frac{2.16\sqrt{5}}{12}[/tex] = [tex]\frac{8\sqrt{5}}{3}[/tex]
Step 4: Find DC. Use Pythagoras Theorem of the triangle BDC
DC = [tex]\sqrt{BC^{2}-BD^{2} }[/tex] = [tex]\sqrt{8^{2}-(\frac{8\sqrt{5}}{3})^{2}}[/tex] = [tex]\frac{16}{3}[/tex]
The price of a math book after a discount of 25% is $45, find the original price of the book.
Answer:
Step-by-step explanation:
let original price be x
x=45/(1-25/100)= 45/(1-0.25)=45/.75=60
x=60
Answer:
25 percent off 45.00 is 33.75. The difference is 11.25. Hope that helps :)
Step-by-step explanation:
Find the equation of the line shown
Answer:
y = 1/2x
Step-by-step explanation:
pass (0,0) and (10,5)
y intercept (b) = 0
slope (m) = (5-0) / (10-0) = 5/10 =1/2
equation y = mx + b
y = 1/2x
how do i graph
y=-3/4x-1
Answer:
Start at -1 and go down 3 right 4,repeat. Then up 3 left 4 from -1, repeat.
Step-by-step explanation:
Answer:
So start at the y intercept which is -1 in this case becuase the point slope formula goes like
y=mx+b
m= slope
b= y-intercept
Y= Ranodm Y coordinate
X= Random X coordinate
You don’t have to worry so much about the x and Y, the main focus while graphing is the slope (m) and the y-intercept (y)
So -1 is the y-intercept so you go to -1 on the graph on the Y axis, it should be right below 0.
Now to make the points, the slope is -3/4
So a slope is written rise/run
Rise is going up and run is going right
-3 is the rise
4 is the run
Since the slope is negative (due to having a negative on 1 side)
We just do the opposite for the rise
Go down 3 and go to the right 4.
There you have it
Also for image reference
Chloe needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.5 hours and charged her $197 for parts.
The total was $389.50. What was the cost of labor, per hour?
Answer:
he took $55.8for 1hr
Step-by-step explanation:
it's because we should devid eit for calculation for minute
C. One Solution
5. Determine whether this equation has no solution, one solution, or infinitely many solutions.
p+ 9 = 2p-3
Answer:
One Solution
Step-by-step explanation:
p+9=2p-3
subtract 9 from both sides
p+9=2p-3
-9 -9
simplify
p=2p-12
subtract 2p from both sides
p=2p-12
-2 -2
simplify
-p= -12
divide both sides by -1
p=1