Macro can finish the puzzle in 3 hours. We can say that her speed for working is 1/3 or 1/3 puzzle per hour.
Now if they work together, this turns into 1 puzzle per hour.
That must mean that Cliff would be doing the other 2/3 of the puzzle while Macro does his 1/3 in that hour. If Cliff has a speed of doing them 2/3 per hour. Then it would take 1 and a half hour to finish 1 whole puzzle.
Answer please 9 - (-4).
Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the next strike occurs within the next minute, you win 3 dollars, if the next strike occurs between 1 minute and 2 minutes from now, you win 5 dollars, and if the next strike occurs more than 2 minutes from now, you win 1 dollar. How much should someone be charged to play this game, to make it a "fair game?"
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
A scale model of a rectangular building lot measures 7feet by 5 feet. If the actual house will be built using a scale factor of 12 what is the area of the actual building lot
3x6/7 (write in simplest form
Answer:
2 4/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
help ill give brainliest
Write an equivalent expression to x-6y+5
x-6y+5= x-(-6y)+5
x-6y+5= 5 (x-6y+1)
x-6y+5= x+5+(-6y)
x-6y+5= x+5+6y
Answer:
x-6y+5= x-(-6y)+5
Step-by-step explanation:
don't know if right just trying to help sorry
The height of one cylinder is 8 cm, and the radius of its base is 5 cm. The height of a second cylinder is 24 cm, and the radius of its base is 5 cm. How many times the volume of the first cylinder is the volume of the second cylinder?
Answer:
Step-by-step explanation:
volume₁ = π5²·8 = 200π cm³
volume₂ = π5²·24 = 600π cm³
volume₂ = 3×volume₁
Answer:
It is 3, hopefully you got a good score! :D
Step-by-step explanation:
A class has 28 children in it.
Can it be split in the ratio 3:2?
Answer:
Yes the class can
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
4. (5 x 3) x 2 = 5 x (3 x 2) is an example of which property?
A) Commutative Property for Addition
B) Associative Property for Multiplication
O C) Distributive Property for Multiplication
D) Commutative Property for Multiplication
Answer:
B, Associative property for multiplication
Step-by-step explanation:
Commutative property means the numbers can be multiplied in any order, so the (5 x 3) x 2 could be written as 3 x 5 x 2 and would be the same.
Associative property deals more with groupings of terms/numbers. Since the order of the numbers stayed the same, and the parentheses are moved, this is an example of the associative property.
2. The ratio of the angle measures in a
triangle is 1:12:17. What is the measure of
smallest angle?
Answer:
6 degrees
Step-by-step explanation:
x + 12x + 17x = 180
x = 6
The angles are 6 : 72 : 102 so the smallest is 6 degrees.
Answer:
sum of all angles = 180
given angle 1 X., 12 X, 17 X
SO 1 X + 12 X + 17 X= 180
13 X+17 X =180
30 X = 180
X=180\30
X =6
ANS =6
HOW; PUT X = 6 APPLY TO 1 X., 12 X, 17 X
1 X=1×6= 6
12X = 12×6 =72
17 X = 17 ×6 =102
ANS = 6
Step-by-step explanation:
Pls help I give brain
Answer:
$480
Step-by-step explanation:
8x6x10=480
The variable z varies jointly with x and y. Also, z = -75 when x = 3 and y = -5.
What equation describes this variation?
x = kyz
y = kxz
z = kxy
k = xyz
What equation describes this variation?
z = kxy
What is the constant of variation?
k = 5
When x = 1 and y = –2, z =
-10
Step by Step Explanation:
With the equation z = kxy and the values for z, x, and y, we can find k.
z = kxy
-75 = (k) (3) (-5)
-75 = (k) (-15)
5 = k
k = 5 (final answer).
To check our work, we just enter all of the values and make sure it adds up.
z = kxy
-75 = (5)(3)(-5)
-75 = 15(-5)
-75 = -75
correct!
Do the same to find the answer for the next part to get -10.
Further proof in the file attached.
Answer:
C.
5
-10
NEXT SLIDE:
3/8
3/40
NEXT SLIDE:
A.
7
42
NEXT SLIDE:
D.
6
NEXT SLIDE:
B.
10
LAST SLIDE:
A.
D.
Step-by-step explanation:
100% Edge 2021
I did the Assignment.
Good luck catching up in Edge before the end date fam!
Order the angles in each triangle from smallest to largest.
9514 1404 393
Answer:
B: L, M, N
Step-by-step explanation:
The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.
MN is opposite angle L, the smallest
LN is opposite angle M, the middle-size
LM is opposite angle N, the largest.
Smallest to largest, the angles are ∠L, ∠M, ∠N.
Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.
Which of the following is the correct interpretation for this confidence interval?
a. We are 95% confident that the sample mean duration is between 6.9 and 8.2 days.
b. We are 95% confident that the population mean duration is between 6.9 and 8.2 days.
c.There is a 95% chance that the mean duration of another random sample from this population would be between 6.9 and 8.2 days.
d. There is a 95% chance that a randomly selected individual from this population would give a response between 6.9 and 8.2 days.
Answer:
b. We are 95% confident that the population mean duration is between 6.9 and 8.2 days.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.
This means that we are 95% sure that the true duration of a typical cold(population mean) for all health adults in Georgia is between 6.9 and 8.2, which means that the correct answer is given by option b.
Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars?
Need help ASAP question 12
Answer:
Parallelogram
Step-by-step explanation:
Opposite sides are parallel
I don’t know what to do
Answer:
okay so, everytime you see anything that says "a number", that will automatically mean that there is a number in the equation that u dont know, so instead of putting a random number in its place, you put an "exponent" aka a letter like "x" for example. so it says, 12 is the sum of a "number" and 3, that means 3 plus a number gives u 12, you would have to make an equation to find the "number" so the equation would be "3 + x = 12".
Step-by-step explanation:
What is the rectangular form of 6(cos(2250)+ i sin(2250)?
9514 1404 393
Answer:
-4.24264 -4.24264i
Step-by-step explanation:
Evaluate the sine and cosine terms and multiply.
6(cos(225°) +i·sin(225°)) = 6(-√2/2 -i·√2/2)
= -3√2 -i·3√2 ≈ -4.24264 -4.24264i
Answer:The correct answer is (A) - 3√2 - 3√2 i
Y’all can you help on this?
Convert 65.949 to expanded form.
plzz help
Answer:
(6 × 10) + (5 × 1) + (9 × 1 10 ) + (4 × 1 100 ) + (9 × 1 1000 )
Step-by-step explanation:
In this rectangular box, EF = 6, FD = 5, and DB = 8. Find A F . A. V61 B. V89 C. 10 D. 5V5
Answer:
Step-by-step explanation: Got it right on E D G E N U I T Y
Answer:
D
Step-by-step explanation:
8. How much paint are you going to need to paint the entire figure to the right? (you do paint the bottom
of the rectangles)
Will mark brainlest for foist answer
Answer:
The surface area would be 560 in.²
It doesn’t say how much paint it takes to cover area.
Step-by-step explanation:
6x5x2=60
4x6x2=48
18x6x2=216
18x5x2=180
7x4x2=56
60+48+216+180+56=560
41.7 x 2.3
Work out this question
can u plz tell me hurry
4/7 of 29= (estimate each product)
Answer:
16
Step-by-step explanation:
Answer:
16.5714286. 17 because the .5 rounds up.
Step-by-step explanation:
Find a seventh of 29 by dividing the number by 7 and you will get 4.14285714.
Then, multiply that number by 4 to get your four sevenths. You will then get your answer which is 17.
help me please thank you!!
Answer:
answer choice 2
Step-by-step explanation:
In 5 days, a scientist wrote 3 pages of a research paper, At that rate, how many days will it take the scientist to write a 30- page research paper?
A 18 days C 25 days
B 30 days D 50 days
Answer:
50 days
Step-by-step explanation:
5/3 = 50/30
pls brainliest
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Answer: A 128
Step-by-step explanation:
Peter Company, a produce distributer, always tries to sell its oldest produce first.
Peter company
Answer:
what is this a maths problem
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply.
4(3x+2)
3(4x+2)
6x+3+6x+5
4(3x)+4(2)
12x+8
3x(4)+2
Answer:
4(3x+2), 4(3x)+4(2), 12x+8
Step-by-step explanation: