Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.
What is the arrangements formula?The number of possible arrangements of n elements is the factorial of n, that is:
[tex]A_n = n![/tex].
The total number of outcomes is the arrangement of 7 elements, hence:
T = 7! = 5040.
The desired number of outcomes is all girls(3!), then all boys(4!), hence:
D = 3! x 4! = 6 x 24 = 144.
Hence, the probability is:
p = D/T = 144/5040 = 0.0286.
There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.
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1/3m - 1 - 1/2n evalute
Answer:
Step-by-step explanation:
1) Simplify 1/3m to m/3.
m/3 - 1 - 1/2n
2) Simplify 1/2n to n/2.
m/3 - 1 - n/2
The basketball team has 20 more players than the baseball team does. There are 100 players total. How many players play basketball? How many players play baseball?
Answer:
Basketball team has 60 players
Baseball team has 40 players
Step-by-step explanation:
60 + 40 = 100
find the measures of x and y
please helppp!
Answer:
Each angle has a measure of 75 degrees
Step-by-step explanation:
First of all, we know that angle Z has a measure of 120 degrees and that angle W is a right angle. This means that the measure of angle W would have to be 90.
Next, we know that because the shape is a quadrilateral, the sum of its interior angles has to be equal to 360. Since we know that the measure of angles X and Y are equal (by definition of congruent), we will label them both with the variable x. We can then say the following:
2x + 90 + 120 = 360
We can then proceed to simplify this:
2x + 210 = 360
2x = 150
x = 75
So, the measure of x and y are 75.
4 x 10 to the power of 7 is ? times as much as 4 x 10 to the power of 3.
A. 4 x 10(4)
B. 10(4)
C. 10(10)
D. 4 x 10(10)
Answer:
The right choise is
b. 10(4)
Step-by-step explanation:
B) 10(4).
Answer: the answer is b 10(4)
6÷2(1+2)=???
I can't figure it out :(
very much appreciated!!!!
9
using Bodmas rule
[tex]\sf B - brackets, \ O - order, \ D - division, \ M - multiplication, \ A - addtion, \ S - subtraction[/tex]
⟼ ⟼ ⟼ ⟼ ⟼ ⟼
Solve:
6 ÷ 2(1+2) [simplify the following inside brackets]
6 ÷ 2(3) [divide]
(3)(3) [multiply]
9 [final answer]
Hey there!
6 ÷ 2(1 + 2)
= 6 ÷ 2(3)
= 3(3)
= 9
Therefore, your answer should be:
9
Good luck on your assignment & enjoy your day!
~Amphitrute1040:)
Are solar systems unique to just our sun? Explain.
Complete The Table
Original Price ( )
Percent Of Discount 25%
Sale Price $40
What is the original price?
Answer:
$ 53.33
Step-by-step explanation:
x = original price
.75 * x = 40
x = 40 / .75 = 53.33
Let original price be x
Discount=25%Hence
x-0.25x=40(1-0.25)x=400.75x=40x=40/0.75x=40/(3/4)x=53.34$3. What is the surface area of this composite solid? Show your work.
5 ft
5 ft
3 ft
4 ft
10 ft
8 ft
If the side of a square is 3/4 feet, what is the area of the square
[tex]\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2[/tex]
Answer:
0.5625
Step-by-step explanation:
The formula is (L x W)
L = 3/4
W = 3/4
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
3. A triangle has two angles that measure 85° and 23°. Which has to be the measure of the third angle?
A.95°
B.157°
C.108°
D.72°
Answer:
72
Step-by-step explanation:
Answer: D. 72°
Step-by-step explanation:
Because a triangle equals 180 we take the given info in order to find x
[tex]85+23+x=180\\108+x=180[/tex]
[tex]108+x=180\\-108=-108\\x=72[/tex]
What is the answer? Please
NO LINKS!!!
Answer:
3 If they all have to be different
Step-by-step explanation:
small
medium
large
medium
large
small
large
medium
small
According to the directions in a bottle of Armstrong concentrated floor cleaner for routine cleaning 1/4 cup of cleaner should be mixed with 1 gal of warm water. How much cleaner should be mixed with
10 1/2 gal of water ?
Answer:
2 and 3/4 cups
Step-by-step explanation:
because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups
PLEASE HELP I NEED THE ANSWER
Consider f (x) = StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline + 1 EndFraction Which statement correctly uses limits to determine the end behavior of f(x)? Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 1 Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 1. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 0. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 7. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 x squared Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → ∞.
Step-by-step explanation:
It's option b
if u want full solution pls mention in comment
The Correct option is B.
What is function in Limit ?
Informally, a function f assigns an output f(x) to every input x.
What is the difference between function and limit ?
The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point.
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Using the information in the Venn diagram below, how many people play basketball? A. 5 B. 9 C. 12 D. 17 4 D. 5
Answer:
52 people
Step-by-step explanation:
add 5 9 12 17 4 5 and youlk get 52 people.
Answer:
its 5
Step-by-step explanation:
Apparently it is not 36, someone please help.
Answer:
i think it would be 9
Step-by-step explanation:
Answer:
9cm
Step-by-step explanation:
the formula of the perimeter of a square is s+s+s+s which is simplified to s4
to solve this we go backwards
S4=36
divide both sides by 4
S=9
please help, thank you if you do!
Answer:
The constant ratio is 2.
Explanation:
Everything is multiplied by 2.
I hope this helps. :)
Find the perimeter and round to nearest tenth
Answer:
40.1
Step-by-step explanation:
You need to add up all of the outside numbers and leave the inside alone since you are working with perimeter, adding together all of the outside numbers will get you 40.1
Tim can paint a room in 6 hours. Bella can paint the same room in 4 hours. How long will it take if Tim and Bella work together?
Answer:
Step-by-step explanation:
[tex]\sf \text{Work done by Tim in 1 hour = $\dfrac{1}{6}$}\\\\\text{Work done by Bella in 1 hour = $\dfrac{1}{4}$}[/tex]
[tex]\sf \text{Work done by both Tim and Bella in 1 hour =$\dfrac{1}{6}+\dfrac{1}{4}$}[/tex]
[tex]=\dfrac{1*4}{6*4}+\dfrac{1*6}{4*6}\\\\=\dfrac{4}{24}+\dfrac{6}{24}\\\\=\dfrac{10}{24}\\\\= \dfrac{5}{12}[/tex]
[tex]\bf Time \ taken = \dfrac{12}{5}[/tex]
= 2.4 hours
[tex]= 2 \ hours \ 24 minutes[/tex]
[tex]\sf \text{Work done by both Tim and Bella in 1 hour = \dfrac{1}{6}+\dfrac{1}{4}}[/tex]
Hey, help with my homework pls
(Find the missing value in each of the pairs of equivalent ratios below)
X/10 = 6/15
12/9 = 8/X
16/38 = 200/m
Answer:
4, 6, and 475
Step-by-step explanation:
See attached image.
For what values of x is x2 2x = 24 true? –6 and –4 –4 and 6 4 and –6 6 and 4
The value of the x of the equation x² + 2x = 24 is negative 6 and 4, then the correct option is C.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression equation is given below.
x² + 2x = 24
x² + 2x – 24 = 0
On factorization, we have
x² + 2x – 24 = 0
x² + 6x – 4x – 24 = 0
(x – 4)(x + 6) = 0
x = –6, 4
The value of x is –6 and 4.
More about the factorization link is given below.
https://brainly.com/question/6810544
The diameter of a circle is 28 inches. What is the circle's circumference
Answer: 87.92.
Step-by-step explanation: To find the circumference of a circle, you need the following equation:
2 x π x r, where π is ≈ 3.14 and r is the circle's radius. If you are ever given the diameter instead of the radius, just cut the diameter in half. In this case, the diameter was given, so we need to cut 28 in half, which makes 14. Your equation should look like this:
2 x 3.14 x 14 ≈ 87.92.
Hope this helps! :)
4. Find the equation of the line that goes through the point (1.-1) and has a siope of 5.
y=x+5
y = 5x-1
y = 5x+1
y = 51-6
y=5x-6
Solution:First, let's write the equation of the line in Point-Slope Form:y-y1=m(x-x1)y-(-1)=5(x-1)y+1=5(x-1Convert into slope-intercept:y+1=5x-5y=5x-5-1y=5x-6Hope it helps.
Do comment if you have any query.
What is 527 x 36 with an area model???
Answer:
18972
Step-by-step explanation:
With an area model, the model will have dimensions of 576 and 36. The product of the units will be within the model.
The value of the equation is A = 18,972
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be p = 527
Let the second number be q = 36
Now , the equation will be
A = p x q
Substituting the values in the equation , we get
A = 527 x 36
On simplifying the equation , we get
A = 18,972
Hence , the equation is A = 18,972
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Inali ate 3/8 of a pizza. His friend ate 1/4 of the
pizza. How much did they eat all together.
Answer:
5/8
Step-by-Step Explanation:
Inali - ate 3/8
His Friend - ate 1/4, but you need it with denominator of 8 so you can do 1/4=x/8 and x=2
Now, you have to add 3/8 plus 2/8 and you get 5/8.
i think this should be pretty easy, just not for me lol. please help!
Answer:
(1) False. (2) True. (3) True. (4) True. (5) True
Step-by-step explanation:
This is really easy :)
Oscar has elected to have 23% of his federal income tax withheld as state income tax. if $154.00 was withheld as federal income tax on his last paycheck, how much will be withheld from his paycheck for income tax in all? a. $35.42 b. $118.58 c. $177.00 d. $189.42 please select the best answer from the choices provided a b c d
The amount that will be withheld from his paycheck for income tax in all is d. $189.42.
What is the amount withheld?The amount withheld is a credit against the income taxes the employee must pay during the year.
The amount withheld from his paycheck for income tax in all is given by;
Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)
Where:
State income tax=$154.00
Percentage of federal income tax=23%
Substitute all the values in the formula
Amount withheld=$154.00+($154,00×23%)
Amount withheld=$154.00+$35.42
Amount withheld=$189.42
Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.
Learn more about income tax here:
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You decide to bake a pizza. The pizza crust that you purchase has a diameter of 14 inches.
If you decide to do stuffed crust, you need to put cheese around the outer edge. How many inches of cheese do you need?
How much space do you have to cover with sauce, cheese, and toppings?
Using the circumference of the pizza, it is found that you have 44 inches to cover the pizza.
What is the circumference of a circle?
The circumference of a circle is the length of it's outer edge, and considering a diameter d, is given by:
[tex]C = \pi d[/tex]
In this problem, the diameter is of 14 inches, hence the circumference is given by:
C = 14pi = 44 inches.
You have 44 inches to cover the pizza.
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Question 2 You have to make a model of the Great Pyramid at Giza, painted to look as close to identical as possible. Which term best describes the part that you must cover?
Volume
Area
Surface Area
Lateral Area
The term that describes the part of the model of the Great Pyramid to be painted is called the: lateral area.
What is the Lateral Area of a Pyramid?The lateral area of any pyramid is the area covered by the slant lateral faces of the pyramid. This excludes the base area of the pyramid.
The best term that describes the part of the Great Pyramid to be covered is therefore known as: lateral area.
Learn more about lateral area on:
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why is math so hard :(
Step-by-step explanation:
Check out the attached photo
On a test that has a normal distribution, a score of 25 falls three standard deviations
below the mean, and a score of 35 falls two standard deviations above the mean.
Determine the mean of this test.
Answer: 31
Step-by-step explanation: 25 and 35 are 5 standard deviations apart
35-25/5 =10/15 =2
Add/ Subtract 2 each time