To solve this problem, we need to use combination which is statistical tool to determine the number of ways an event may occur. The combination to select a 5 a side team from 12 students is 792.
CombinationThis a mathematical technique that is used to determine the number of possible arrangements in a collection of items where the way they're arranged does not matter.
Data;
Number of Students = 12Team = 5The combination for this would be
[tex]C = ^1^2C_5 = 792[/tex]
The combination to select a 5 a side team from 12 students is 792.
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I f the mean of 5 observation is 15 and four of them are 11, 12, 19, 20. what is the fifth number
Answer:
13
Step-by-step explanation:
11 * 12 * 19 * 20 * 13 = 75
75/5 = 15
Answer:
13
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let x be the fifth number , then
[tex]\frac{11+12+19+20+x}{5}[/tex] = 15
[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )
62 + x = 75 ( subtract 62 from both sides )
x = 13
What does each line on the protractor stand for?
Answer:
There are two sets of degrees going in opposite directions along an arc. The top of the arc shows degrees from 0º to 180º from left to right. The bottom of the arc shows degrees from 180º to 0º from left to right. The smallest "tick marks" along the edge of the protractor represent 1º intervals.
Step-by-step explanation:
i need some help with this
Answer:
x + y = 4
substitute (-A, 2B) in the equation.
-A + 2B = 4
substitute (3A-2, 3-B) in the equation
3A-2 + 3-B = 4
Use elimination method and hence multiply the first substituted equation by 3
-3A + 6B = 12
3A-2 + 3-B = 4
-2 + 3 + 5B = 16
5B = 15
B = 3
Substitute value of B in any of the equations
and hence A = 2
How many national roads connected to Bloemfontein?
Answer:
3
Step-by-step explanation:
The N1, N6 and N8 national highways meet in Bloemfontein,
Hope This Helped
pls answer asap!!! much appreciated
Answer:
e. 0.308.
Step-by-step explanation:
I can't draw the tree diagram but the answer is
P(red first) = 7/14 = 1/2
P( then black) = 4/13
P(red then black) = 1/2 * 4/13 = 2/13
P(black first) = 4/14 = 2/7
P( then red) = 7/13
P(black then red) =2/7 * 7/13 = 2/13
So Probability of red and black in any order
= 2/13 + 2/13 = 4/13
= 0.308.
35-40 evaluate the integral by interpreting it in terms of areas.
39. [tex]\int_{-4}^{3}\left|\frac{1}{2} x\right| d x[/tex]
The value of the definite integral corresponds to the total area of two triangles (see attached plot).
[tex]\displaystyle \int_{-4}^3 \left|\frac x2\right| \, dx = \dfrac12 \times 2 \times 4 + \dfrac12 \times 3 \times \dfrac32 = \boxed{\frac{25}4}[/tex]
So I got it wrong in my homework how do i translate it?
To translate something:
⇒ is to write out the equations
Let's examine what information this problem gives us:
Mrs. Albert has $400 ⇒ Total money = 400Mrs. Albert bought two adult tickets at $62.50 each⇒ with '2' being the number of adults tickets
⇒total charge from purchasing adult tickets = 2 * 62.5 = 125
Each child ticket costs $42.5⇒ with 'x' being the number of child tickets bought
⇒total charge from purchasing child tickets = 42.5x
Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:
⇒ 42.5x + 125 = 400 <== translated form
Let's solve:
[tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]
Since we can only buy whole tickets:
Mrs. Albert could have bought at most 6 child tickets
Answer: Mrs. Albert can bring 6 kids
Hope that helps!
Write standard form of the equation of the line through the given point with the given slope
through: (4, -4), slope = -1
Answer:
x+1y=-4
Step-by-step explanation:
use ax+by=c
Katie wants to collect over seashells. She already has seashells in her collection. Each day, she finds more seashells on the beach. Katie can use fractions of days to find seashells. 100 34 12
Please help!!! Will give brainliest
Answer:
y ≥ 14
Step-by-step explanation:
Add 27 to both sides to get:
y ≥ 14
Therefore the answer is y ≥ 14.
Select the correct graph for the function f(x) = 3x + 4 .
Answer:
No graph was provided but Ive attached my own
Step-by-step explanation:
f(x) = 3x + 4 → y = mx + b
y - intercept (b) is 4
slope (m) is 3 so the rise / run = 3 / 1
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 2 or 5 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Answer:
13.9%
Explanation:
Rolling for 2 : (1, 1)
Rolling for 5 : (1, 4), (4, 1), (2, 3), (3, 2)
So, there are (4 + 1) = 5 possible outcomes out of 36 outcomes
Note: There are 36 outcomes when rolling a two fair cubes.
[tex]\sf Probability = \dfrac{possible \ outcomes}{Total \ outcomes}[/tex]
[tex]\rightarrow \sf \dfrac{5}{36} \ x \ 100[/tex]
[tex]\rightarrow \sf \dfrac{125}9} \%[/tex]
[tex]\rightarrow \sf 13.9 \%[/tex]
Find the angle which is 4 times its complement?
Answer:
72°Step-by-step explanation:
Let us assume the angle be xo Then it’s complement angle is 4x°.When the sum of two angles is 90°, then the angles are known as complementary angles. If two angles add up to form a right angle, then these angles are referred to as complementary angles.4x + x = 90° 5x = 90°x = 18° ∴ The angle x = 18° andIts complement 4x = (4×18o) = 72°Stay safe, stay healthy and blessedHave a good day !Good luck for ur assignment.Thank youI REALLY NEED HELP PLSSSSSSS
Answer:
Quick answer, C. 7 units!
Yolanda says she can use a sphere to model the surface area of the boulders on this beach. explain whether yolanda is correct. yolanda is . since the boulders have , the best shape to model the surface area is a .
Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.
What is a sphere?
A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.
Surface area of a sphere = 4πr²
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Answer:
Step-by-step explanation:
Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.
What is a sphere?
A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.
Surface area of a sphere = 4πr²
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Me dicen plis 2 multiplicaciones que den de resultado 139.
Plis
Doy coronita‼
Answer:
Claro esta:
139 x 1
Pero tambien
69.5 x 2
Y
46.3 x 3
Y muchos mas
Which inequality represents the domain of the exponential piece?
a x>3
b x greater than or equal to -1
c x>1
d x less than or equal to -2
Using it's concept, it is found that the inequality represents the domain of the exponential piece is:
d) [tex]x \leq -2[/tex].
What is the domain of a function?The domain of a function is the set that contains all possible input values.
Researching this problem on the internet, we have that the function is divided as follows:
For [tex]x \leq -2[/tex], it has exponential behavior.For x > 2, it has polynomial behavior.Hence, for the domain of the exponential piece, option d is correct.
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1) Find the volume of the rectangular pyramid below.
21 cm
1 cm
29 cm
Answer:
3349.5 [tex]cm^{3}[/tex]
Step-by-step explanation:
see image
Sketch a graph of each of the four angles in the same coordinate plane. Label the ordered pairs that intersect the circle. The angles given are 30°, 150°, 210°, 330°
To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.
What is a sketch?In the mathematics, a sketch is known to be a given category that tells what a thing is all about.
Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.
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If f(x)=3x²-4 and g(x) = x+2, find (f - g)(x).
Answer:
D. 3x² - x - 6
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 3x² - 4 - (x + 2)(f - g)(x) = 3x² - x - 6Consider this equation. cos(0)=-3/10 if 0 is an angle in quadrant ii, what is the value of tan(0)? sqrt91/10 -sqrt91/3 sqrt91/3 -sqrt91/10
The value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex] if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II
How to determine the value of tan(x)?The expression is given as:
cos(x) = -3/10
Using the following trigonometry identity:
sin²(x) + cos²(x) = 1
The equation become
sin²(x) + (-3/10)² = 1
Evaluate the exponent
sin²(x) + 9/100 = 1
Subtract 9/100 from both sides
sin²(x) = 91/100
Take the square root of both sides
[tex]\sin(x) = \frac{\sqrt{91}}{10}[/tex]
Sine is positive in quadrant II.
So, the tangent is calculated using:
[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]
This gives
[tex]\tan(x) = \frac{\sqrt{91}}{10} \div -\frac{3}{10}[/tex]
Evaluate
[tex]\tan(x) = -\frac{\sqrt{91}}{3}[/tex]
Hence, the value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex]
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CAN SOMEONE PLS HELP ME
Answer:
no i cannot help you
Step-by-step explanation:
thats good
A solid sculpture in the shape of a square pyramid is made of 10.5 in.3 of glass. if the area of the square base is 9 in2, what is the height of the pyramid? 1.5 in. 3 in. 3.5 in. 4 in.
The height of the square-based pyramid is 3.5 in.
What is the volume of a square pyramid?The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.
Mathematically;
[tex]\mathbf{V = a \times \dfrac{1}{3}h}[/tex]
[tex]\mathbf{V = a \times \dfrac{h}{3}}[/tex]
Given that:
V = 10.5 in³a = 9 in²[tex]\mathbf{10.5 = 9 \times \dfrac{h}{3}}[/tex]
[tex]\mathbf{10.5 =3\times h}[/tex]
[tex]\mathbf{h = \dfrac{10.5}{3}}[/tex]
h = 3.5 in
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Answer:
3.5 or third option
Step-by-step explanation:
I got it right on edge
A student made an 84% on
their Unit 1 Math Test.
What fraction is equivalent to
the score the student made on
the test?
Answer:
84/100
Step-by-step explanation:
We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.
The area of the rectangle is 20 square units. Find the length and width of the rectangle
How do outliers affect the mean of a data set?
A. It does not change.
B. It increases.
C. It decreases.
D. It depends whether the outlier is a high outlier or a low outlier.
Answer:
D is your answer Outlier An extreme value in a set of data which is much higher or lower than the other numbers.
Step-by-step explanation:
Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data
conjunction and disconjuction
Step-by-step explanation:
When two statements are connected with an 'and,' you have a conjunction.
For conjunctions, both statements must be true for the compound statement to be true.
When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.
What is the greatest common factor (GCF) of 40 and 56?
Answer:
8
Step-by-step explanation:
Factors of 40: 1 2 4 5 8 10 20 40
Factors of 56: 1 2 4 8 14 28 56
Common factors: 1 2 4 8
Greatest common factor: 8
Answer:
8
Step-by-step explanation:
Prime factorization
40 = 2 x 2 x 2 x 5
56 = 2 x 2 x 2 x 7 common factor 2 x 2 x 2 = 8
a1 = 10 and an =an -1 +2
I assume you're asking to solve for the n-th term in the sequence, [tex]a_n[/tex].
From the given recursive rule,
[tex]a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2[/tex]
and by substitution,
[tex]\implies a_n = a_{n-2} + 2\times2[/tex]
Similarly,
[tex]a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2[/tex]
[tex]\implies a_n = a_{n-3} + 3\times2[/tex]
The pattern continues, so that we can write the n-th term in terms of the 1st one:
[tex]a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}[/tex]
So the first few terms of the sequence are
{10, 12, 14, 16, 18, 20, …}
80 men construct a building in 10 months. How many men will construct a the same building in 8 months? Share with steps
Answer:
64 men
Step-by-step explanation:
80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.