Find the probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
Using it's concept, it is found that there is a 0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem:
Two numbers that can be repeated chosen from a set of 10 numbers, thus, in total, there are [tex]10^2 = 100[/tex] outcomes.For a sum no greater than 10, we have that:
0 can be added with all the 10 numbers, as can 1.2 can be added with 9 of them, bar 9.3 can be added with 8 of them.4 can be added with 7 of them.5 can be added with 6 of them.6 can be added with 5 numbers, 7 with 4, 8 with 3, and 9 with 2.Hence, the number of desired outcomes is:
[tex]D = 10(2) + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 = 64[/tex]
The probability is:
[tex]p = \frac{D}{T} = \frac{64}{100} = 0.64[/tex]
0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
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Find the limit: .3,2.33,2.333,2.3333
Answer:
2 1/3
Step-by-step explanation:
The value of the fraction that is an infinite sequence of 3s is 1/3. As more 3s are added to the fraction, it comes closer to 1/3.
The limit is 2 1/3.
Please help me with this homework
What is the slope of the line that passes through the points (-6,-7) and (-25, -7)
Answer:
slope is 0
Step-by-step explanation:
(-6,-7) and (-25, -7)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-7 - (-7) / (-25 - (-6))
Simplify the parentheses.
= (-7 + 7) / (-25 + 6)
= (0) / (-19)
Simplify the fraction.
= 0/-19
= 0
This is your slope.
This means your line is a horizontal line.
Can I please get help with this? I understand most simplifying radical forms but when divisions in the equation it gets a bit ehh.
Answer:
2√7/7.
Step-by-step explanation:
Multiply top and bottom of the fraction by √7:
(2 * √7) / (√7 * √7).
= 2√7/7.
A painter needs to find the area of
the gable end of a house. What is
the area of the gable if it is a triangle with two sides of 81 feet that meet at a 112° angle?
Answer = [?]ft^2 (Acellus!)
Answer:
3042
Step-by-step explanation:
1/2 * 81 * 81 * sin(112) = 3041.6266
The area of the triangular gable is 6083.25 ft².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the area of a triangle with two sides a and b and angle C is,
(a×b×sinC).
Given, A painter is painting the gable end of a house which is a triangle with two sides of 81 feet that meet at a 112° angle.
∴ The area of the triangular gable is = (81×81×sin112°).
= (81)²sin112°.
= (81)²×0.928 ft².
= 6083.25 ft².
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You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left?
answer the following question in the picture
Answer:
x = 16
Step-by-step explanation:
5x - 7 = 8x - 55
+55 +55
5x + 48 = 8x
-5x -5x
48/3 = 3x/3
16 = x
What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
A. -7
B. -3
C. 0
D. 4
Answer:
-7
Step-by-step explanation:
The y-intercept is where the x value is 0.
Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies were red. How many cookies were purple?
Answer:
69 purple cookies!
Step-by-step explanation:
Using the figure below, find the area of the circle.
Answer:
Step-by-step explanation:
Diameter of the circle = Side of the square = 10 cm
radius = r= 10/2 = 5 cm
Area = πr²
= 3.14*5*5 = 78.5 cm²
The graph shows the relationship between the distance that a snail crawls and the time that it crawls.
a. Write the equation for the relationship and tell what each variable represents.
b. how long does it tale the snail to crawl 85 inches.
Answer:
a) 10 y = x
b) 8.5 min
Step-by-step explanation:
a) x - axis = distance
y - axis = time
the line passing through points (10,1) (20,2) (30,3).......
line equation is y - y1 = m (x - x1)
m = (y2 -y1) / (x2 - x1)
= (2 - 1) / (20 - 10)
m = 1/10
y - 1 = 1/10 * (x - 10)
10(y - 1) = x - 10
10y - 10 = x - 10
10y = x
here x represents distance
y represents time
b) for distance of 85 inches
time =
10 * time = 85
time = 8.5 min
Point G lies between points F and H on Line segment F H.
A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answer:
it is 3
Step-by-step explanation:
4x+2x=18 so we solve for x which is 3
Answer: A. 3
Step-by-step explanation: On Edge!!
5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides
the segment in a 2:1 ratio.
The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is (3, -1).
What is section formula?In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex centers of a triangle
Given
[tex](x_{1} ,y_{1})[/tex] = X(-3, 3)
[tex](x_{2},y_{2} )[/tex] = Y(6,-3)
m: n = 2:1
Section formula = [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n} )[/tex]
P(a, b) = [tex](\frac{2(6)+1(-3)}{2+1} ,\frac{2(-3)+1(3)}{2+1} )[/tex]
P(a, b) = [tex](\frac{12-3}{3},\frac{-6+3}{3} )[/tex]
P(a, b) = [tex](\frac{9}{3} ,\frac{-3}{3} )[/tex]
P(a, b) = (3, -1)
The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is (3, -1).
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b. (a+b)x 1= (a+b)
What property is this?
What is an equation of the line that passes through the points (-6,3) and (-5,2)
Answer:
y=-x-3
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6,3) and (-5,2)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeThe most common way to write the equation of the line is in slope-intercept form, so let's do it that way.
First, we'll need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Although we already have 2 points, let's label their values in order to avoid confusion later:
[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]
Now substitute these values into the formula to find slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{2-3}{-5--6}[/tex]
Simplify:
m=[tex]\frac{2-3}{-5+6}[/tex]
Add/subtract the numbers together:
m=[tex]\frac{-1}{1}[/tex]
Divide
m=-1
We can substitute this as m in y=mx+b:
y=-1x+b, or y=-x+b
We need to find b now
Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b
Taking (-6, 3) for example:
Substitute -6 as x and 3 as y
3=-1(-6)+b
Multiply
3=6+b
Subtract 6 from both sides
-3=b
Substitute -3 as b into the equation
y=-x-3
Hope this helps!
Alyssa bought a bag containing 60 small candies. She starts eating the candies at a rate of 5 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Answer:
for every 10 she eats the minutes are even
Step-by-step explanation:
( i honestly dont know how to explain the relationship but i did the math for it)
it would take 12 mins to eat all 60 candies
55 candies : 1 min
50 candies : 2 mins
40 candies : 4 mins
30 candies : 6 mins
20 candies : 8 mins
10 candies : 10 mins
0 candies : 12 mins
Find the following for the nth term of the following geometric sequence, as an expression of n:
3, 15, 75, 375
Answer:
[tex]15^{n-1}[/tex]
Step-by-step explanation:
First , Let's find the common ratio of this sequence.
[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]
SO,
r = 5
Now let's use this formula to find the n th term
[tex]T_n = ar^{n-1}[/tex]
Here,
a = first term
r = common ratio
Let's find,
[tex]T_n = 3*5^{n-1}[/tex]
[tex]T_n =15^{n-1}[/tex]
Therefore,
the n th term is,
[tex]15^{n-1}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Answer:
[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 5 , then
[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]
Can i have help please
Answer:
hope it helps you.........
1. a⁵ ÷ a³ = a²
2. c⁴/c³ = c¹ = c
By the equations:
[tex] {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]
Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is she from the top of the
building after 90 seconds?
O 12 floors
• ,14
floors
17 floors
19.
O
floors
Answer:
17 floors
Step-by-step explanation:
1 floor every 4 seconds.
90/4 = 22.5
40 - 22.5 = 17.5
17.5 is 17ish floors, and is the only answer that is close to 17 floors.
Given this quadratic equation, 2x^2-x-28=0,
List the factors of this equation.
Determine the x-intercepts.
[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]
[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]
9-3÷ 1/3+1 Pls ya'll i need this for my 8th grade class
Answer:
9
Step-by-step explanation:
So it kinda easy but ill Just give u the answer :D
Answer:
9-3÷ 1/3+1= 9
Step-by-step explanation:
I can't do solution sorry.
In a scaled diagram, 1 inch represents 20 feet.
How many square inches on the diagram
represent 1 square foot?
Answer:
240
Step-by-step explanation:
1 foot=12 inches.
12 inchest times 20=240
In 1 square feet there will be 0..0025 inches on the scaled diagram.
What is unit conversion of measurement?Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion of measurement.
For example,
1 kg = 1000g
⇒ 1 gm = 1/1000kg
According to the given question.
1 inch = 20 feet.
⇒ [tex]1 feet = \frac{1}{20} inch[/tex]
⇒[tex]1^{2} (feet)^{2} = (\frac{1}{20} )^{2} (inch)^{2}[/tex]
⇒ 1 square feet = 1/400 square inches
⇒ 1 square feet = 0.0025 square inches
Hence, in 1 square feet there will be 0..0025 inches on the scaled diagram.
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The length of the minute hand of a clock is 14cm. find the area it covers in 30 minutes.
can someone help me 5/4/7 + 1/3/4
Please check the attached image for the steps.
Answer = 11/42 = 0.261
____
RainbowSalt2222 ☔
Write and solve a real-world problem that can be represented by the expression (−3)(5 ) + 10.
Answer:
• The smart phones produced by Samsung in 30 minutes reduce from 10 by 15 times
Step-by-step explanation:
[tex] = ( - 3)(5) + 10 \\ = - 15 + 10 \\ = - 5[/tex]
You can drive 90 miles in 1/4 of a tank of gas in 1 hour.
Answer:
Step-by-step explanation: 1/4 will be about 4-5 with the reserve. You should be able to cover about 120 — 150 miles on that. Don't push your luck. Always keep your tank at least half full.
The line lowest to the bottom would mean you have 1/4 of a tank of gas and you should probably fill up soon, below 1/4 would be close to 1/8 of a tank which means get gas now.
A fraction (mathematics) of one fourth, one quarter, 25% or 0.25.
one of the four equal or equivalent parts into which anything is or may be divided. 2. a fourth part, esp. of one (¼).
One-fourth is also called a quarter.
To find one quarter of a number divide the number by 4. So 1640 divided by 4 is 410.
The number of miles travelled by the vehicle in full tank will be 360 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you can drive 90 miles in 1/4 of a tank of gas in 1 hour. The number of miles will be calculated as,
Number of miles in full tank = 4 x 90
Number of miles in full tank = 360 miles
Hence, in a full tank, the vehicle can travel 360 miles.
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why are prefixes used in naming covalent compounds
A. oxidation states of the atoms are identified with prefixes
B. the atoms can have different numbers of valence electrons
C. the prefixes identify the only way the atom can combine
D. the same atoms can combine in more than one ratio
Answer:
the atoms can have different numbers of valence electrons
The population of Town A is 1.26 x 10^5 people. The population of Town B is 2.8 x 10^4 people. How many times greater is the population of Town A than the population of Town B?
Answer:( 1.26 x 10 ^ 5 ) / ( 2.8 x 10 ^ 4 ) = 4.5 times bigger
Step-by-step explanation:
Pls help me answer this question
