solution
this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.
Is this right, someone saying answer =49
Does john short qualify for overtime? Explain
Answer:
?
Step-by-step explanation:
Select the correct answer. 1 -23 1-4 What is the result of the operation 2 O A. 6 -10 -2 -16 4 6 -2 R 5 8 6 _4 Ос. 16 -4 6 4 2 6 -10 2 -16 4 -4 -28
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Answer:
D
Step-by-step explanation:
Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.
integrate by parts xInx
Answer:
[tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
Integrals[Indefinite Integrals] Integration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {x \ln x} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = \ln x[/tex][u] Logarithmic Differentiation: [tex]\displaystyle du = \frac{1}{x} \ dx[/tex]Set dv: [tex]\displaystyle dv = x \ dx[/tex][dv] Integration Rule [Reverse Power Rule]: [tex]\displaystyle v = \frac{x^2}{2}[/tex]Step 3: Integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \int {\frac{x}{2}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \frac{1}{2} \int {x} \, dx[/tex]Factor: [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \int {x} \, dx \bigg)[/tex][Integral] Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \frac{x^2}{2} \bigg) + C[/tex]Factor: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
-3y-5=10 Show your work please, thank you.
Answer:
-5
Step-by-step explanation:
-3y = 10 + 5
-3y = 15
y = - 5
Answer:
hi
Step-by-step explanation:
-3y-5=10
-3y=10+5
-3y=15
y=15/ -3
y= -5
hope it helps
have a nice day
Pamela and her friends decided to have a water balloon fight! They got 20 water balloons and
used 6 liters of water to fill them all equally.
how much water was in each balloon?
Write your answer as a proper fraction or mixed number.
liters
Answer:
3/10
Step-by-step explanation:
Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
Answer:
Quincy's claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval decreases is the sample size increases, that is, if the sample size increases, the width of the interval decreases.
In this question:
Sample size of increases to 30 from 24, which means that the width of the interval will decrease.
Quincy's claim is correct.
Couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds
Answer:
15!
Step-by-step explanation:
296-251= 45
45÷3= 15 weeks
hope this works and is correct!
can someone help me solve this
(show work)
Answer:
y=x+31.25
Because x stand for cauclator so 31.25 per x so it would end up being x+31.25
Step-by-step explanation:
I need some help. I will try to give brainliest
Answer:
Step-by-step explanation:
There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?
Tell whether b=6 is a solution of 8b=48
Answer:
b= 6 for sure
Step-by-step explanation:
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
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Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
A track star jumped 6 feet. The record is 84 inches. How much further does he need to jump to beat the record?
thank you!!
Answer:
12 inches or 1 ft.
Step-by-step explanation:
Firstly, convert the 6 feet to inches.
(There are 12 inches in 1 foot)
So, 6 feet is 72 inches (6 * 12)
Now, you can subtract this total from the record, to find how much farther he needs to jump:
84 - 72 = How much further
84 - 72 = 12
Therefore, he needs to jump 12 inches further.
To place in feet form, then convert 12 inches to feet.
(There are 12 inches in a foot)
So, 12 inches is 1 foot
Answer:
1 foot or 12 inches.
Step-by-step explanation:
Since there are 12 incher in every foot, we divide 84 by 12, giving us a total of 7ft. He has to jump 1 foot, or 12 inches more, to beat the record.
What is the volume of the composite figure? ASAP PLEASE!!!!
Answer:
74ft³
Step-by-step explanation:
Okay, so it's basically 3 rectangular figures smashed together so:
We'll do the 2 biggest one's first:
the formula for the volume of a rectangular figure is base x height so we first have to find the base:
4 x 3 = 12
So then we just plug our stuff in here:
12 x 3 = 36
Now there's 2 of these rectangles though so:
36 x 2 = 72
Now we're going to do the one in the middle:
1 x 2 = 2
2 x 1 = 2
Now we add that all together:
72 + 2 = 74
So, the volume of the composite figure is 74ft³
hope this helps:)
Celia made 3 1/2 cups of rice. a serving is 2/3 cup
How many servings of rice did Celia make
Answer:
5 1/4 .
Step-by-step explanation:
Given:
Celia made 3 1/2 cups of rice.
A serving of rice is 2/3 cup.
Now, to find the number of servings Celia make.
Celia made
So, to get the number of servings we use unitary method:
If 2/3 cup of rice is of 1 serving.
So, 1 cup of rice is of = =
Then 7/2 cup of rice is of
Thus, 7/2 cup of rice is of servings.
Therefore, Celia make servings.
Step-by-step explanation:
5g ∙ 7h in standard form
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Answer:
35gh
Step-by-step explanation:
The standard form has one coefficient, and generally has the variables in lexicographical order.
35gh
A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 60°. What is the distance between the piling and the pier to the nearest foot?
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]
So, the required distance is 225.16 feet.
HELP PLSSSS
8^2 b - 3 when b = 3
Answer:
0
Step-by-step explanation:
If b is 3 then the quiz can be rewritten as
8²3-3
8²0
64×0=0
Well it's just a trial
In ΔVWX, x = 30 inches, v = 89 inches and ∠W=130°. Find the area of ΔVWX, to the nearest square inch.
Answer:
1023 inches
Step-by-step explanation:
Area = (1/2)(a)(b)(sinA)
Area = (1/2) (30) (89) (sin 130)
Area = 1022.669332 or 1023
The area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.
To find the area of triangle VWX, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, we need to determine the base and height of triangle VWX.
The length of the base, WX, is given as x = 30 inches.
To find the height, we can use the formula for the area of a triangle:
Area = (1/2) * WX * VW * sin(W)
Given that ∠W = 130°, we can find the sine of the angle using a scientific calculator or trigonometric tables. Let's assume the sine of 130° is approximately 0.766.
Now, we have all the values we need to calculate the area:
Area = (1/2) * 30 * 89 * 0.766 ≈ 1023 square inches
Therefore, the area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.
To know more about triangle:
https://brainly.com/question/2773823
#SPJ6
There are 52 playing cards in a standard deck. Each card is assigned to one of four suits: diamonds, hearts, spades, or clubs. Within each suit, there are 13 ranks: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King.
pls help
Answer:
Plzzzz answer fast......
1 Can of paint is enough to cover
4/5 of a wall. We only have 2/3 of
a can of paint. How much of a wall
can we paint with 2/3 of a can of
paint?
Pleasa give me the answer with showing work.
Answer:
Hi! The answer is [tex]1/3[/tex] of a wall.
Step-by-step explanation:
[tex]1 - 2/3[/tex]
[tex]= 1/3[/tex]
☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
One Step Equations
-104=8x
Please show your work, thank you.
Answer:
= − 1 3
Step-by-step explanation:
8x/8 = -104/8
Brainliest?
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
The length of the rectangle is 9 cm.
The perimeter of the rectangle is 31 cm.
(b) Work out the width of the rectangle.
Answer:
Perimeter = 2(L+W)
31 =2(9+w)
31 =18+2W
31-18=2W
13=2W
W=13/2
W=6.5cm
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answer:
D. 6Step-by-step explanation:
M is midpoint of LP and N is midpoint of MP
Use midpoint formula:
x = (x₁ + x₂)/2Find x-coordinate of M:
x = (-3 + 9)/2 = 3Find x-coordinate of N:
x = (3 + 9)/2 = 6Correct choice is D
Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles
Weekly wages at a certain factory
are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
CONVERT THE PERCENTAGES FRACTION 130%
Answer:
13/10
Step-by-step explanation:
Its 13/10...
please give brainliest
Answer:
13/10
Step-by-step explanation:
Find shaded area. Please help!
Answer:
Area of shaded region = 70.88 unit
Step-by-step explanation:
Given:
Height of shaded region = 12 units
Width of shaded region = 8 units
Find:
Area of shaded region
Computation:
Radius of semi circle = Width of shaded region / 2
Radius of semi circle = 8 / 2
Radius of semi circle = 4 unit
Area of shaded region = Area of rectangle - Area of Semi circle
Area of shaded region = [l x b] - [πr² / 2]
Area of shaded region = [12 x 8] - [(3.14)(4)² / 2]
Area of shaded region = 96 - [(3.14)(16) / 2]
Area of shaded region = 96 - 25.12
Area of shaded region = 70.88 unit
round off all answer in to two decimal places A=p(1+in) Steven won a portion of the local lottery.the price money is to the value of R18000.he wants to invest the money but does not know which bank to choose. FNB offers Steven 5,6/% for 8 years simple interest per annum, Nedbank offers Steven 6,6% for 6 years simple interest per annum and standard bank offers 7,2% for 5 years simple interest determine each bank future value to help Steven decide which bank he should choose FNB NEDBANK STANDARD BANK
Answer:
FNB bank
Step-by-step explanation:
FNB = 18000 * 0.056* 8 = 8064
Nedbank = 18000*0.066* 6 = 7128
Standard = 18000*0.072*5=6480
FNB is the best choice for Steven