Answer:
Step-by-step explanation:
Use the possibility diagram to calculate the probability that the product of the two numbers is
A prime number
Sample Space: 64
Prime Number:8
Probability: 8/64 = 1/8
Not a perfect square
Sample Space:64
Not a perfect square:56
Probability: 56/64 = 7/8
A multiple of 5
Sample Space:64
A multiple of 5: 16
Probability: 16/64 = 1/4
Less than or equal to 21
Sample Space:64
Less than or equal to 21:24
Probability: 24/64 = 6/16 = 3/8
Divisible by 4 or 6
Sample Space:64
Divisible by 4 or 6:32
Probability: 32/64 = 1/2
Rewrite 6/4 as a percent. Make sure to label your answer with %.
Answer:
to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator
So I have to compute the following but i don't know what they mean any help?
Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that
[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]
Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5
Answer:
(a) 5
(b) 10
(c) 35
(d) 28
(e) 9
(f) 21
Step-by-step explanation:
[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]
(a)
[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]
(b)
[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]
(c)
[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]
(d)
[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]
(e)
[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]
(f)
[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]
What is the angle relationship shown below?
A)Corresponding
B)Same side interior
C)Alternate interior
D)Alternate exterior
E)Vertical
Answer:
The relationship between the angles is alternate exterior angles.
Step-by-step explanation:
Exterior means outside.
Alternate means every other or in this case across form each other.
These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.
HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED
Answer:
Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.
Mrs.Gomez paid $780 for a new backyard fence. A new gate cost and additional $225. The fencing was a total of 120 feet. What was the unit cost per foot for the fence?
I need the answer please
Answer:
AC=22
AB=11
BC=33
Step-by-step explanation:
[tex]2(3x - 4) = 2x + 12 [/tex]
6x-8=2x+12
12+8=6x-2x
20=4x
x=5
∴AC=2(5)+12=22
∴AB=3(5)-4=11
∴BC=7(5)-2=33
Which is equivalent to 3v8
Answer:
C.
Step-by-step explanation:
= [tex]\sqrt[3]{8}^{x}\\[/tex]
= Since [tex]\sqrt[3]{} = ^{1/3}[/tex]
= So, It becomes :
= [tex]8^{\frac{x}{3}[/tex]
What is the rate of change between (6,12) and (8,20)
Step-by-step explanation:
It might be easier thinking of "rate of change" as the slope. Since you'll be finding a slope, then, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the values.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{20-12}{8-6}\\m=\frac{8}{2} \\m=4[/tex]
Answer:
[tex]m=\frac{4}{1}[/tex] or [tex]m=4[/tex]
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3
Answer:
5.1
Step-by-step explanation:
Before we calculate the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given P(−2, 7), and R(1, 0)
RP = √(1-(-2))²+(0-7)²
RP = √3²+(-7)²
RP = √9+49
RP =√58
To get the y value for point Q that is located two thirds the distance from point P to point R, this will give
PQ = y = 2/3 of √58
= 5.1
Answer: I Believe its 2.3
Step-by-step explanation:
P is located at (-2,7)
R is located at (1,0)
Look at the y coordinates
P(-2,7) R(1,0)
7 to 0= distance of 7
multiply 2/3 by 7 = 4.7 (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)
Now plug in the info we know:
.y axis = 7 - 4.7 = 2.3
Hope this helped! Im taking the test and ill be back if this is wrong
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
960cm^2
Step-by-step explanation:
surface area = sum of area of one sides
front + back = 336cm^2
side x 2 = 336cm^2
base + top = 288cm^2
sum = 960cm^2
Mark Brainiest, please
plz help ASAP i would thx u alot
Answer:
The second answer
Step-by-step explanation:
What are two other words used for hypotenuse
Answer:
solo la conosco como ipotenuza
Step-by-step explanation:
Answer:
flank right-angled triangle right triangle
Step-by-step explanation:
The volume of a cube depends on the length of its sides. This can be written
in function notation as ws). What is the best interpretation of v(4) = 64?
Answer:
46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2
A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?
Answer:
1.54 million
Step-by-step explanation:
If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!
Answer:
the answer for this question is 1.54×10^6
Step-by-step explanation:
45%- Male
100%-45%=55%
55/100×(2.8×10^6)=1540000
=1.54×10^6
Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?
1. 1/3 hours
2. 3 hours
3. 3.5 hours
4. 5 hours
Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles
Step-by-step explanation:
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Find the y-intercept of the following equation. Simplify your answer. 25 POINTS WILL MARK BRAIN
y = –10x + 7
y-intercept =
Answer:
7
Step-by-step explanation:
y=mx+b
b= y-intercept
So 7 is your answer
25x⁴+4x⁴y²+4y⁴ answer this
Answer:
(5x²+2y² + 2xy)(5x²+2y²-2xy)
Step-by-step explanation:
25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)
find the value of x
Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
Answer: x = -14
Step-by-step explanation:
a) Top triangle, top angle: Using the Linear Pair Postulate, 180° - 126° = 54°
b) Top triangle, bottom left angle: Congruent sides implies congruent angles = 54°
c) Bottom triangle, top left angle: Using the Complimentary Angles Postulate, 90° - 54° = 36°
d) Bottom triangle, bottom angle: Congruent sides implies congruent angles = 36°
Triangle Sum Theorem states that the sum of the three angles must equal 180°.
36° + ∠2 + 36° = 180°
36° + (x + 22) + 36° = 180°
x + 194 = 180
x = -14
Please help! Correct answer only!
Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.1071
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]
[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]
[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]
Solution; Probability ≈ 0.1071
Answer:
The probability is 0.107
For each sequence, find the first 4 terms of a sequence:
a) n²+3
b) 2n²
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :
[tex]a) {n}^{2} + 3[/tex]
[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]
[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]
[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]
[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]
[tex]b)2 {n}^{2} [/tex]
[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]
[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]
[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]
[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]
The area of a rectangle is 54 5454 square meters. The width is 9 99 meters long. Which equation correctly relates the given information and the length, ℓ ℓell?
Answer:
it is longer than 1/3
Step-by-step explanation:
I need help with this question. What makes 9/4, when you have to divide a number by 4?
Answer:
[tex]9[/tex]
Step-by-step explanation:
[tex]x \div 4=9/4[/tex]
[tex]x=9/4 \times 4[/tex]
[tex]x=36/4[/tex]
[tex]x=9[/tex]
Answer:
9
Step-by-step explanation:
x/4=9/4
x=9 (multiply both sides by 9)
What is mzABC?
75°
Om ABC = 15°
Om ABC = 45°
135
С
Om ABC = 60°
Om ABC = 75°
B
D
Answer:
D
Step-by-step explanation:
I got it on the test
The measure of ∠ABC in the triangle below is 60°
Triangle
Triangle is a polygon with three sides and three angles. The sum of angles in a triangle is 180°.
∠ACB + 135 = 180° (Sum of angles in a straight line)
∠ACB = 45°
In triangle ABC:
∠ABC + ∠ACB + ∠CAB = 180° (Sum of angle in a triangle)
∠ABC + 75 + 45 = 180
∠ABC = 60°
The measure of ∠ABC in the triangle below is 60°
Find out more on Triangle at: https://brainly.com/question/23945265
what is the inverse of the function
Answer:
[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]
Ashley is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total length of her drive?
____ Miles
Answer:
27 miles
Step-by-step explanation:
2/3rds of the way home is 18 miles
2/3 d = 18
Multiply each side by 3/2
3/2 * 2/3 = 18 *3/2
d = 27
The distance is 27 miles
Which verbal expression is represented by 2(x + 4)?
A. twice the sum of a number and four
B. the sum of two times a number and four
C. two times the difference of a number and four
D. twice the product of a number and four
Answer:
A.
Step-by-step explanation:
The sum of a number, x, and 4 just means x + 4.
If we take twice this sum, it implies that we take the resulting number and multiply it by 2.
Our resulting number is x + 4, so we are left with 2(x + 4).
I hope this helps!
The correct answer is twice the sum of a number and four.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(x+4)
The sum of a number, x, and 4 just means x + 4.
Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.
The resulting number is x + 4, so it is 2(x + 4).
Hence, The correct answer is twice the sum of a number and four.
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
What effect will 4 have on the graph of y = sin(x)?
Answer:
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.
Step-by-step explanation:
The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]
The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.
4x+2y=10 5x+3y=12 solve the simultaneous question
Answer:
x = 3
y = -1
Step-by-step explanation:
→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:
4x + 2y = 10
5x + 3y = 12
→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:
-12x - 6y = -30
10x + 6y = 24
____________
-2x = -6
→Divide both sides by -2:
x = 3
→Plug in 3 for x into an equation:
4x + 2y = 10
4(3) + 2y = 10
12 + 2y = 10
2y = -2
y = -1
what is the area of the circle?
Answer:
A = 90.25π
Step-by-step explanation:
Area of a circle = [tex]\pi r^2[/tex]
r = 9.5
A = 90.25π
Answer:
[tex]\pi \times 9.5 {?}^{2} [/tex]
