Step-by-step explanation:
pls type the question
properly and I swear I will solve it
An excursion group of four is to be drawn from among 5 boys and 6 girls.
Find :
a. the number of ways of choosing the excursion group if the group :
i. Is to be made up of an equal number of boys and girls.
ii. Is to be either all-boys or all-girls.
III. Has no restriction on its composition.
b. Whatis the probability that a random choice of numbers from the group will result in 3 boys and 1 girl.
Answer:
Because you are recounting people several times. Say for example, let us number those people
{1,2,3,4} for the four girls and {1,2…7} for the boys.
One possible combination by your way is to fix one boy and girl each, say
{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.
Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.
A correct way would be to choose girls and then choose 5− boys for 1≤≤4
So we get ∑4=1(4)(75−)=441
Answer:
We need group of 4 out of group of 5 + 6 = 11 people.
Part A
i)
2 boys and 2 girls:
5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 waysii)
4 boys or 4 girls:
5C4 + 6C4 = 5 + 15 = 20 waysiii)
No restrictions:
11C4 = (11*10*9*8)/(4*3*2) = 330 waysPart B
Combination of 3 boys and 1 girl:
5C3*6C1 = (5*4/2)*6 = 60Total number of ways is 330 (found above)
Required probability:
P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%Where? The crime was committed on the day and at one of the locations below, but which one? It happened where ALL the answers are true. B 5 cm oi -2 cm. 5 cm 9 cm 5 cm 3 cm 15 cm A 8 cm С 17 cm 8 cm 10 cm 1 cm 0.6 cm 7 cm D -15 cm 2 cm Monday in the gym The surface area of A is 150 cm 2. The volume of C is 8.4 cm 3 The volume of D is 750 cm The surface area of A is 1,500 mm 3 Tuesday in the dining The volume of B is 540cm room 3 The volume of D is 1200 cm 2 The surface area of A is 0.015 m 3 The volume of B is 0.00054 m The volume of D is 600 cm3 Thursday on the playing fields Friday in the maths classroom The surface area of A is 0.15 m 3 The volume of Dis 0.0006 m The volume of A is 125,000 mm3 The Accusation Who Where & when
9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
__
The Accusation: Thursday on the playing fields.
Answer:
{C} Thursday on the playing fieldhelppppppp really please.
Answer:
x ≈ 101.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan44 = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{98}{x}[/tex] ( multiply both sides by x )
x × tan44° = 98 ( divide both sides by tan44° )
x = [tex]\frac{98}{tan44}[/tex] ≈ 101.5 ( to the nearest tenth )
Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } Let sets A , B , and C be subsets of U , where: A = { 2 , 3 , 5 , 6 , 7 } B = { 1 , 3 , 9 , 10 , 11 , 14 } C = { 5 , 9 , 12 , 13 , 15 }
Answer:
16 elements
0 elements
Step-by-step explanation:
U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }
Let sets A , B , and C be subsets of U , where:
A = { 2 , 3 , 5 , 6 , 7 }
B = { 1 , 3 , 9 , 10 , 11 , 14 }
C = { 5 , 9 , 12 , 13 , 15 }
(A U B U C) = elements in either A, or B or C
(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}
(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.
Number of elements = 13
(A n B n C) = elements occurring in both A, B and C
(A n B n C) = {} = empty set
(A n B n C) n (A n B n C) = {} = 0
Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18
Answer:
Step-by-step explanation:
Simplifying
2y + -3x = 18
Reorder the terms:
-3x + 2y = 18
Solving
-3x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 18 + -2y
-3x = 18 + -2y
Divide each side by '-3'.
x = -6 + 0.6666666667y
Simplifying
x = -6 + 0.6666666667y
An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
Answer:
Step-by-step explanation:
This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.
x + 1 = 0 so
x = -1
x - 9 = 0 so
x = 9
We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
if you anserw corectly ill give you crown and more points
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Hope this helps!
WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)
Answer:
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]
Set up equation
Step 1: Simplify
[tex] \frac{6i}{5 - i} [/tex]
Step 2:Multiply by conjugate
[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]
Step 3:Simplify
[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]
We can reduce this and we must make the imaginary number and real number serpate equations.
[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]
Reduce each by 2
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
What is the common difference for this arithmetic sequence? 45,39,33,27,21,...
Answer:
I expect the correct answer
_6
.
Answer:
6
Step-by-step explanation:
because if u minus 39 from 45 u get six and same for the others
The expression \sqrt[3]{3}\cdot \sqrt[5]{3^6}
3
3
⋅
5
3
6
is equivalent to
By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]
How to find equivalent valueTo simplify the given expression, combine the two radicals using the property of exponentiation.
First, simplify the expression inside the second radical:
√[5]{[tex]3^6[/tex]}
Since the index is 5, rewrite the expression as:
[tex](3^6)^(1/5)[/tex]
Using the property of exponentiation, multiply the exponents:
[tex]3^(6/5)[/tex]
Now combine this result with the first radical:
[tex]3\sqrt3 * 3^(6/5)[/tex]
Since ∛3 can be written as [tex]3^(1/3)[/tex], rewrite the expression as:
[tex]3^(1/3) * 3^(6/5)[/tex]
To multiply two numbers with the same base, add the exponents:
[tex]3^(1/3 + 6/5)[/tex]
To simplify further, we need a common denominator for the fractions:
[tex]3^(5/15 + 18/15)[/tex]
Combining the fractions:
[tex]3^(23/15)[/tex]
Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]
Learn more on equivalent on https://brainly.com/question/2972832
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It costs £420 for six tickets how much would 5 tickets be
Art class is 5% of an hour each school day. How many hours of art does a student have in five days ?
*no links are allowed. *
Answer:
okay, so ... In a day, We all have 24 hours in a day
60 mins = 1 hr
5%
5/100×1 hr=
5 days =
okay, this is difficult
i have no idea what to do can someone pls help me quick
the question is on the image
Answer:
70
Step-by-step explanation:
the fraction 7/10 turns into 70% which means 70 out of 100 tickets were sold.
Answer:
70 tickets sold
Step-by-step explanation:
Multiply the number of tickets by the fraction of tickets sold
100 *7/10
Rewriting
100/10 * 7
10*7
70
a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used?
Answer: None because i dont like cans of paint
Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint
f(x)=x^2-5 find f(7)
Answer:
44
Step-by-step explanation:
substitute the 7 into the equation for x
f(x) = [tex]x^{2}[/tex] - 5
f(7) = [tex]7^{2}[/tex] - 5
f(7) = 49 - 5
f(7) = 44
Answer:
f(7) = 44
Step-by-step explanation:
To evaluate the function f(x)=x^2-5 at x = 7, replace each instance of 'x' in this function by 7:
f(7) = 7^2 - 5 = 49 - 5 = 44
So: f(7) = 44
Select all the correct answers.
Cineplex operates two movie theaters in a city. The profits from one theater can be represented by the expression t^3 - t^2 + 2t - 100, where
t is the number of tickets sold. The profits from the second theater can be represented by the expression t^2 - 2t - 300.
which statements are true about the expression representing Cineplex's total profits in that city?
Answers:
The total profit expression is a binomial.
The total profit expression is a polynomial.
The total profit expression has a constant term.
The total profit expression is a polynomial
The total profit expression is a binomial
The total profit expression has a constant term
The first step to determining which type of function it is, is to add the profits in both theatres together
(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400
A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.
Types of polynomials include :
1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.
An example is x + 2
The variable x is raised to the power of 1. 2 is the constant terms
2. Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.
An example is 2x² + 10x + 25
3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.
An example is 5y³ + y²
4. Binominal function: this is a function that contains only two terms.
An example is t³ - 400
t³ - 400
The above equation of the total profit has a constant term which is -400
The above equation is a polynomial. This is because it has different types of variables.
The above equation is a binomial equation because it has only two terms t³ and 400
In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.
To learn more about polynomials, please check: https://brainly.com/question/17822016?referrer=searchResults
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
39.341 × 0.72 = _____
Answer:
28.32552
Step-by-step explanation:
39.331×0.72=28.32552
in an isosceles triangle KLM, ∠K is congruent to ∠M and m ∠M=55°. find the m ∠L
Answer:
70°
Step-by-step explanation:
m ∠L = 180-(55+55)
= 180-110
=70°
skins legendary skins 100 points epic skins 50 points rare skins 25 points uncommon skins 10 points common skins 5 points this is a game
legendary skins
epic skins
rare skins
uncommon skins
common skins
Answer:
so legendary is twice epic
epic is twice rare
rare is 2.5 uncommon
uncommon twice common
please help me :)))))))))))))))))
Answer:
A
Step-by-step explanation:
third angle=180-(35+73)=180-108=72°
1011+1111=in binary answer, anyone that answer me first I will follow u
Answer:
Step-by-step explanation:
answer is [tex](11010)_{2}[/tex]
The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)
Answer: Length = (15x + 20) / 5
Step-by-step explanation:
The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:
Area = length × width
(15x + 20) = length × 5
Length = (15x + 20) / 5
Therefore, the expression is Length = (15x + 20) / 5.
Solving further, the length will be:
= (15x + 20) / 5
= 3x + 4
Surface area of a cube please HELP HELP HELP
Answer:
The surface area of the cube is 294 m^2
Step-by-step explanation:
The formula for the surface area of a cube is:
(a^2) 6
Explanation behind formula:
a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.
(Surface area- the area of each face of a figure)
Use formula with the given:
(7^2) 6 = 294
Surface area is measured in square meters.
(meters in this situation)
Therefore, the surface area of the cube is
294 m^2
Hope this helps!
Answer:
294
Step-by-step explanation:
formula is = 6(side length)^2
6x(7)^2
=294
Which definition best describes vertical angles?
O A. A pair of angles whose sum is 180°
B. A pair of angles that combine to form a straight angle
C. A pair of angles whose sum is 90°
D. A pair of opposite angles formed by intersecting lines
SUBM
someone PLSSS HELPPP fast plsss !!!
In a class, there are 87 students
in the class, and 38 are boys. What is
the probability that a girl is selected
randomly to represent the class in a
debate?
Answer:
49/87 = .56 = 56%
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Find the distance between two points (0, 3) and (-1,3).
Answer:
5
Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5
Answer:
1
Step-by-step explanation:
even if it is going back-wards, it is still one, think of it as absolute value
also again, if brainly tries to delete this answer, this community really is going down the dump
Multiply the polynomials.
(8x2 + 6x + 8)(6x-5)
A. 48x3 - 4x2 + 18x + 40
B. 48x3 - 76x2 + 18% - 40
C. 48x3 - 4x2 + 78x - 40
D. 48x3 - 4x2 + 18x- 40
