Answer:
The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
Compute the number of ways to select 37 people from 101 as follows:
[tex]{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}[/tex]
[tex]=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775[/tex]
Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.
Write the equation in slope-intercept form y−6=−2/5(x−10)
Answer: y = -2/5x + 10
Step-by-step explanation:
y − 6 = − 2/5 (x − 10)
do distributive property
y - 6 = -2/5x + 4
add six to both sides
y = -2/5x + 10
boom the answer :v
m=-3; (1,4) write in slope intercept form
Answer:
y = -3x + 7
Step-by-step explanation:
plzzzzzzzzzzzz help
Answer:
58
Step-by-step explanation:
Total area = 7 × 10 - 6 × 2 = 70 - 12 = 58 units²
Betty bought a new pair of jeans for $45 and three new sweaters for $141. How much was one sweater, if they all cost the same amount? Write and solve an equation to see how much one sweater cost.
Answer:
47
Step-by-step explanation:
You would divide 141 by 3 because there was three sweatshirts bought, so the answer from that would be the price of one.
141/3=47
Helpppp!!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Answer
I think it is B or C since there is an angle it can not be A
Step-by-step explanation:
I think it is B since there is 1 angle and 2 sides.
Answer:
C
Step-by-step explanation:
Lets see what we have,
So far we have a side and an angle congruent.
But wait, if two lines intersect, the angle of intersection between the two are equal meaning we have a second angle, and we know now as a result the third angle is 180 minus the two known angles
This means its a Side Angle Angle, however neither of these show this so C
Hope this helps :)
what is the 20th term of the linear sequence?
1,7,13,19,25
Answer:
115
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 , thus
a₂₀ = 1 + (19 × 6) = 1 + 114 = 115
We are required to find the 20th term of the linear sequence.
The 20th term of the linear sequence 1,7,13,19,25 is 115
Given:
1, 7, 13, 19, 25
nth term = a + (n - 1)d
where,
n = number of terms
= 20
a = first term
= 1
d = common difference = 7 - 1
= 6
So,
nth term = a + (n - 1)d
20th term = 1 + (20 - 1)6
= 1 + (19)6
= 1 + 114
= 115
20th term = 115
Therefore, 20th term of the linear sequence 1,7,13,19,25 is 115
Read more:
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Can some help me?Its due tonight lol
The wheel on Bellas unicycle has a circumference of 0.9 yards how many will he travel if the wheel of his unicycle completes 1000 rotations
Answer:
900 yards.
Step-by-step explanation:
The circumference of a circle is the length of the circle's side.
Hence, for every one rotation, the wheel rotates once, and the unicycle travels the distance of the wheel's circumference.
Therefore, for 1000 rotations, and every rotation travelling 0.9 yards, the distance traveled would be 1000 * 0.9 = 900 yards.
Hope this helped!
Lexi went shopping before the start of the school year. She spent $8 on new clothes for every $3 she spent on school supplies. Pick the diagram that models the ratio in the story. Lexi spent $132 on clothes and school supplies in all. How much of that money was spent on clothes?
Answer:
The answer is $96
Step-by-step explanation:
I just finished this there is a graph with 8 and 3. There are 11 graph boxes in all (you add the boxes/ amount together to get how much total they are). 8 +3=11. Then you divide 132/11=12. You are looking for clothes, so you multiple 12x8=which equals 96. So she spent $96 on clothes
The amount spent on clothes is $96.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Lexi spent $8 on new clothes for every $3 she spent on school supplies.
Lexi spent $132 on clothes and school supplies in all.
The ratio of spending is = 8/3
So, amount spend on new clothes is
= 8/11 x 132
= 8 x 12
= $96
Hence, the amount spent on clothes is $96.
Learn more about ratio here:
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Determine the equation of the graph with the coordinates of (4, -1)
O y = (x-4)2 - 1
O y=(x + 4)2 + 1
O y = (x + 4)2 - 1
O y = (x - 4)2 + 1
Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation
[tex]y=\left(x-4\right)^2-1[/tex]
[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]
[tex]-1=\left(0\right)^2-1[/tex]
[tex]-1=0-1[/tex]
[tex]-1=-1[/tex]
So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]Please check, the graph is also attached.
If we multiply 0.8 by 1/50, we get 0.8 × 1/50 = 0.8/50 = 0.016 meter. So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.
Answer:
the ratio is 1:50
this means that 1 meter in the drawing is equal to 50 meters in real life, but that is a complicated way of stating something simple since drawings are not generally measured in meters.
the door is 0.8 meters wide or 80 centimeters wide
in our drawing, the door should be 80 / 50 = 1.6 centimeters wide
the whole purpose of a scale is to allow us to work with smaller units, that is why we have to work with them. It is true that 0.016 meters = 1.6 centimeters, but as I said before, writing the answer in meters just complicates things and makes them harder to understand. You could also say it is 0.000016 kilometers wide and it would be right, but too confusing.
question:
Solve for x: 2/5(x - 4) = 2x
answers:
1/2
-1
1
-8
Answer:
x= -1
Step-by-step explanation:
posting again since no one would help me :,) PLEASEEEEE I'M STUPID AND NEED HELPPPPPP (plus i'm lazy smh) FREAKING 40 POINTS COME GET IT
Answer:
ill try to help you
Step-by-step explanation:
1. y=3x+1
2. y= -1.5x+3
3. y=0.5x-3
4. y= 3x
hope this helps
take care
PLEASSSSSSSSSSSSSSSSSSSSSSSSSSeeee help 10+ points for you
Answer:
f < -2
Step-by-step explanation:
f+ 4 < 2
-4. -4
f < -2
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
the second
Step-by-step explanation:
75 000 in standard form
Answer:
7.5×10^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helps <3
Answer: 7.5
Step-by-step explanation:
A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. What best describes how to determine the probibility of pulling a white sock, not replacing it, then pulling out another white sock?
Answer:
Probability = 1/3
Step-by-step explanation:
The drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks.
This is a total of 10 socks.
Probability of pulling a white socks = 6/10
Since it is not replaced, it means we have 5 white socks left out of a total of 9 now.
Probability of pulling out another white socks = 5/9
Thus;
The combined probability is;
6/10 × 5/9 = 30/90 = 1/3
Hellooooo!
My Answer:
The answer is letter C.
The Explanation:
The probability that the first sock is white is 6/10 and the second one is white is 5/9, so the probability of choosing a pair of white socks is 30/90 = 1/3.
GIve me an equation then you get 10 points
Answer:
987654321 divided by 12345678
Step-by-step explanation:
Write and solve a word problem that can be modeled by the product 12x-8
Answer:
Step-by-step explanation:
Mike is at the shop for school supplies. He sees some pencils he wants to buy. He sees that if he buys twelve of the same item, the store will take off $8. How much will twelve pencils cost at the store if one pencil is $5.99?
Equation: 12x-8
12x-8 =
12(5.99) - 8 =
71.88 - 8 =
$63.88
Hope this helps:)
The word problem that can be modeled by the
expression → 12x - 8 is written and solved below.
What is word problem in mathematics?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is the following expression -
12x - 8
The world problem is as follows -
An ice cream store sells different flavours of ice cream at different rates. The cost of chocolate flavored ice cream is $12 per piece. If a person buys more than 15 ice - creams and wants it to be packed, the extra cost of packaging is decided by the following formula as →
cost of packaging = c[p] = (n/2) + 2
where n is the cost of ice cream.
If sam buys 'x' ice creams of chocolate flavor for his birthday party, calculate the total amount that sam has to pay to the shopkeeper.
Solution -
Cost of 1 chocolate flavored ice cream = $12
Cost of x chocolate flavored ice cream = $(12x)
Since, 20 > 15, the extra cost of packing will be -
c[p] = n/2 + 2 = 12/2 + 2 = $8
The equation representing the total cost to be paid is -
Total cost [y] = 12x + 8
y = 12x + 8
Therefore, the word problem that can be modeled by the
expression → 12x - 8 is written and solved above.
To solve more questions on making word problems, visit the link below-
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1
Identify the missing symbols: 2/5 4/5 5/5
Answer: The symbol is < for both
1. Show your work to simplify the expression 0.5(8a +6b) a + 4b
Answer:
Using distribute property
0.5(8a)(a) + 0.5(6b)(a) + 4b
4a^2 + 3ab + 4b
Step-by-step explanation:
Answer:
4a+3ab +4b
Step-by-step explanation:
0.5(8a+6b) a +4b
4a +3b*a +4b
4a+3ab +4b
someone please please helppp... I need to submit this ttoday..I will mark you the brainliest
Problem 3
I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.
=============================================
Problem 4
To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.
(3x+7)^2 - 84x = (3x-7)^2
(3x+7)(3x+7) - 84x = (3x-7)^2
(9x^2+21x+21x+49) - 84x = (3x-7)^2
9x^2+42x+49-84x = (3x-7)^2
9x^2-42x+49 = (3x-7)^2
(3x-7)^2 = (3x-7)^2
The two formulas
(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49
=============================================
Problem 5
x + 1/x = 11
a + b = 11 .... where a = x and b = 1/x
(a+b)^2 = 11^2
a^2 + 2ab + b^2 = 121
x^2 + 2*x*(1/x) + (1/x)^2 = 121
x^2 + 2 + 1/(x^2) = 121
x^2 + 1/(x^2) = 121-2
x^2 + 1/(x^2) = 119
An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.
Using the Incenter P, find the measure of ∠ZPX.
117°
140°
64°
129°
42°
132°
Answer:
The measure of ∠ZPX is 63°
Step-by-step explanation:
The given parameters are;
The incenter of the triangle = P
m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet
Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;
The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP
Therefore, ∠KXP = ∠LXP = 31°
∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°
∠KXL = 62°
Similarly;
The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK
Therefore, ∠PYJ = ∠PYK = 27°
∠KYJ = ∠PYJ + ∠PYK = 27° + 27° = 54°
∠KYJ = 54°
In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate
∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°
∠LZJ = 64°
The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ
Therefore, ∠PZL = ∠PZJ
∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°
∠PZL = 64°/2 = 32° = ∠PZJ
In ΔZPX, we have;
∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate
∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°
∠ZPX = 63°
The measure of ∠ZPX = 63°
Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p
Answer:
0.31x + 2.4 + 3.4p
Step-by-step explanation:
combine like terms
What is the length of the segment DF?
Is -4(5x)=12 true false or open
Answer:
False because its -4 if it
given f(x)=4-3x, what is the value of f(5)?
Answer:
-11
Step-by-step explanation:
PLS HELP!!!
PLS FIND 13 and 15!!
Answer:
hi how are you doing
Step-by-step explanation:
If G is the circumcenter of triangle ABC, find CG and FB. Round to the nearest tenth if necessary.
PLS HELP FOR GEOMETRY
9514 1404 393
Answer:
CG = 19
FB = 14.7
Step-by-step explanation:
The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.
The length of GA is given, so we have ...
GA = 19 = CG
__
Then the Pythagorean theorem can be used to find FB.
FB² +FG² = GB²
FB² = GB² -FG² = 19² -12² = 217
FB = √217 ≈ 14.7
Someone PLease please help me
find the slope and y - intercept of the equation.
y=1/4x-8
Answer:
slope= 1/4
y-intercept- (-8)
Step-by-step explanation:
i think i hope this is right !