Answer:
The answer is "0.00088"
Step-by-step explanation:
Many ways of selecting r articles of n,[tex]\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}[/tex]
P(wins the player) = [tex]\frac{1}{\text{Any combinations of possible numbers}}[/tex]
[tex]= \frac{1}{^{20} C_3}\\\\[/tex]
[tex]= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088[/tex]
find the surface area of the prism
Answer:
62ft²
Step-by-step explanation:
Hi there!
Surface area is calculated by this formula:
2(length*width)+2(width*height)+2(length*height)
*note: we multiply each area by 2, as the prisim has 6 faces, or 2 of each face
we're given a length of 5 ft, a width of 2 ft, and a height of 3ft
now let's calculate the surface area
to find the area of the first two faces:
2(length*width)
2(5*2)
2(10)
20 ft²
now to find the area of the second two faces:
2(width*height)
2(2*3)
2(6)
12 ft²
finally, find the area of the last two faces:
2(length*height)
2(3*5)
2(15)
30 ft²
now add up all the values
SA=20+12+30=62 ft²
your answer is 62ft²
Hope this helps!
two equivalent ratios for 17:5?
Answer:
34/10 is equivalent to 17/5 because 17 x 2 = 34 and 5 x 2 = 1051/15 is equivalent to 17/5 because 17 x 3 = 51 and 5 x 3 = 1568/20 is equivalent to 17/5 because 17 x 3 = 68 and 5 x 3 = 20
Step-by-step explanation:
hii, how are you
While taking a hike 80% or 20 of the participants wore hiking boots. How many participants were on the hike?
20 beacuse you need hiking boots to hike
Answer:
25
Step-by-step explanation:
let x = # of participants on the hike
(.80)x = 20
x = 20/0.80 = 25
Which set of angle measures can be used to construct an acute scalene triangle?
Answer:
C = 36°, 57°, 87°
Step-by-step explanation:
scalene = all angles are different.
acute = all angles are under 90°.
triangle = all angles add up to 180°.
The only option that works for this is C) 36°, 57°, 87°
Find the volume of this square
based pyramid.
10 in
12 in
[? ]in3
Answer:
[tex]v=480 ~in^3[/tex]
Step-by-step explanation:
[tex]v=1/3 Bh[/tex]
[tex]1/3(12)^210=[/tex]
[tex]480 ~in^3[/tex]
------------------------
hope it helps...
have a great day!!!
5.7935 rounded to the nearest thousand
Answer:
5.794
Step-by-step explanation:
The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.
-69=7v-6
Please show your work, thank you.
please help fast for my math project and its due today !!!!!!! fasttttb pleaseeee
1) Note that in the problem above, the complete table is given as:
Team Number: 1 2 3 4 5
Best Jump (ft) 20.6 21.5 20.9 19.4 20.2
2) If Best Jump is denoted as y and Team number as x then, Best Jump is the Range while Team Number is the Domain.
3) For each element of the domain, there is a corresponding element of the range. So this relation is a function.
Why are the Domain and Range Important?Domain and range are crucial characteristics that aid in the definition of a relationship. The domain is a collection of input values.
The independent variable represents these values, which are graphed on the axis of a coordinate graph. A function's range is its collection of output values.
Learn more about Range:
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a circular picture whose diameter is 4 decimeter is framed in a rectangle board with dimension of 6 decimeter by 4 decimeter what is the area of the board that can be seen
Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².
In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.
Refer to the attachment for step by step solution. :)
The area of the board that can be seen is 11.44 decimeter square.
What is the area of the board that can be seen?The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.
Area of a circle = πr²
Where :
π = pi = 3.14R = radius = diameter = 4/2 = 23.14 x 2² = 12.56 d²
Area of the rectangle = length x width
6 x 4 = 24
Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square
To learn more about the area of a circle, please check: https://brainly.com/question/14351152
When is it best to solve a system of equations using substitution?
Answer:
It is best to solve a system of equations using substitution when one of the equations isolates one of the variables, or when the coefficient of one of the variables is 1 or -1.
Step-by-step explanation:
This makes it easier to substitute one variable for the other, allowing you to solve for the remaining variable. It is also a good idea to check the solution back in the original equations just to make sure it is a valid solution
Answer:
Answer Below
Step-by-step explanation:
It is best to use substitution if one of the variables is isolated or has a coefficient of 1 or -1.
I need help solving this problem :) please help
Answer:
25
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
PLEASE HELP IMMEDIATELY!!
Answer:
B
Step-by-step explanation:
45-45-90
find hypotenuse: leg × root 2
[tex]8 \times \sqrt{2} [/tex]
Employee A gets paid $150 weekly, plus $0.50 for each latte they sell. If he was paid $275,
how many lattes did he sell this week?
Answer:
550 lattes he sold this week
Step-by-step explanation:
$275÷$0.50= 550
CAN SOMEONE HELP PLEASE???
When a car's tire pressure is 30 pounds per square inch (psi), it averages mpg of gasoline. If the tire pressure is increased to 35 psi, the car averages mpg of gasoline. Answer parts a) through c).
If someone drives an average of 21,000 mi per year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35 psi?
If gasoline costs $2.00 per gallon, how much will he save in a year?
Assume that there are about 130 million cars in a country and that these changes are typical of each car, how many gallons of gasoline would be saved if all drivers increased their cars' tire pressure?
Answer:he will save 100 $
Step-by-step explanation:
Answer: $142
Step-by-step explanation: assume 20miles per gallon.
Then 0.05 gallon per mile.
35psi gives 30/35= 0.85 times the surface on the ground, gives square 0.85^2= 0.73 times more deflection so heatproduction a cycle or at same speed. This gives more fuelconsumption.
I once determined that when driving 50mph/80kmph constant, tires use 25% of the total fuel-consumption.
Higher speed same fuelconsumption by the tires, but more bij the higher speed. But to keep it simple only 50mph.
The fuelconsumption at 30 psi 0.05 gpm, 25% by the rolling resistance is 0.0125mpg. 35psi ,0.73 x0.0125=0.0091gpm.
The windforce stays the same 75% of total is 0.0375mpg+ 0.0091= 0.0466mpg,0.0466gpm/0.05= 93% used of fuel with 35psi then at 30 psi.
So 21000mpj x 0.05gpm= 1050 gallon
21000mpjx 0.466gpm= 979gallon.
Saving 1050-979= 71 gallonx $2= $142
Rounded here and there, and other speeds give other divisions, but to show the idea how to calculate it.
Also if 25% used is right is discussable.
Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the oak tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
Given the example below, determine the property displayed.
7+3=3+7
Answer:
commutative property of addition
Step-by-step explanation:
commutative property of addition
The commutative property of addition allows you to change the order of the numbers in an addition.
For example, 1 + 2 = 2 + 1
The function f(x)= square root of x is translated using the rule (x,y) (x-7,y+2) to create f(x)what is the domain of f(x)?
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = √x
The function after the transformation, then we have
f(x) = √(x - 7) + 2
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,
x - 7 ≥ 0
x ≥ 7
More about the function link is given below.
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is the pie sign a integer, rational number or irrational number?
Answer:
pi is considered to be irrational because it is a non-terminating, non-repeating decimal
Step-by-step explanation:
Help please look at picture!!^^
9514 1404 393
Answer:
8167.14 m²
Step-by-step explanation:
The radius of the circle is half the diameter, so is 51 m. The area of the circle is given by the formula ...
A = πr²
Filling in the given numbers, we find the area to be ...
A = 3.14(51 m)² ≈ 8167.14 m²
Popcorn at the Movies - Exit Slip
You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.
Find the area. The figure is not to scale
Answer:
5.4 cm^2
Step-by-step explanation:
Given,
Height ( h ) = 2 cm
Base ( b ) = 5.4 cm
To find : Area ( triangle ) = ?
Formula : -
Area ( triangle ) = bh / 2
Area ( triangle )
= 5.4 x 2 / 2
= 5.4 cm^2
A six pack of soda costs $3.00. What is the price per can?
PLEASEEE HELPPPPPPPPPPPPPPPP
MI PAN ZUZUZUZUZUUZU
Answer:
price per can is 0.5
Step-by-step explanation:
find the volume of a cake with radius of 8 and height of 5
The table at the right shows data representing a polynomial function. Answer A, B, and C.
a) The degree of the polynomial is 5.
b) The second difference is -726 -126 -6 114 714
c) The difference when they are constant is 480.
What is a polynomial?
A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
y values: -999 -140 -7 0 1 116 945
1st difference 859 133 7 1 115 829
2nd difference -726 -126 -6 114 714
3rd difference 600 120 120 600
4th difference -480 0 480
5th difference 480 480
The degree of a polynomial is the number of difference where it is constant.
The degree of the polynomial function is 5.
The constant is the 5th difference which is 480.
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The dimensions of a rectangular Pyramid are shown in the diagram below what is the volume of the rectangular pyramid in cubic
Answer:
160 in³
Step-by-step explanation:
Volume of rectangular pyramid, V = (Length * width * height) / 3
Length = 10 in ; width = 8 in ; height = 6 in
V = (10 * 8 * 6) / 3
V = 160 in³
Math homework please help look at picture!!
Answer:
a = 327 m²
Step-by-step explanation:
Area of bed
r = 22/2 = 11
a = 3.14(11²)
a = 379.94
Area of bed and sidewalk
r = 11 + 4 = 15
a = 3.14(15²)
a = 706.5
Area of sidewalk
a = 706.5 - 379.94
a = 327 m² (rounded to whole number
Nika rolls an 8-sided cube with faces numbered 1 through 8. Which of the following statements is true?
P(even number) = ⅛
P(odd number) = ½
P(number less than 8) = 1
P(the number 9) = 1
Answer: Statement 2 (P(odd number) = 1/2) is true
Step-by-step explanation:
Statement 1: there are 4 even numbers (2, 4, 6, 8) so therefore a 1/2 chance, not a 1/8. [FALSE]
Statement 2: there are 4 odd numbers (1, 3, 5, 7) so therefore a 1/2 chance, so this is true. [TRUE]
Statement 3: 8 is the biggest number, so there are 7, not 1, numbers less than it. [FALSE]
Statement 4: there is no 9 on an 8 sided cube. [FALSE]
How many 25 cents are there in $10?
Answer:
40 quarters are in $10
Step-by-step explanation:
Answer:
40 quarters i think cause there's 4 quarters in a dollar and then 10 x 4 equals 40...
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
5 hours
15 hours
18 hours
45 hours
Answer:
5 hours
Step-by-step explanation:1 over 5 of an hour is 20 minutes. 20 minutes = 1 over 15 of lawn.
20 x 15 = 300
300 divided by 60 = 5 (hours)
if you could respond with the work shown that would be amazing! i rate people very nicely!! this is due before 7 AM EST time :)
Answer:
110 in.²
Step-by-step explanation:
The figure is composed of a parallelogram and a rectangle
Therefore, the area of the figure = area of rectangle + area of parallelogram
= Length*Width + base*height
Length = 10 in.
Width = 6 in.
base = 10 in.
height = 5 in.
Area of the figure = 10*6 + 10*5
= 60 + 50
= 110 in.²