Answer:
2 / 9
Step-by-step explanation:
From the spinner :
Number of reds = 1
Total number of colors = 3
P(not red) = Probability of not spinning red, = 1 - p(red) = 1 - 1/3 = 2/3
P(flipping tail) = a coin flip, P(tail) = 1/2
P(not even) = probability of not obtaining an even number) = 1 - p(obtaining an even number)
(1, 2, 3) ; not even = (1, 3)
P(not even) = 2 /3
Compound probability = 2/3 * 1/2 * 2/3 = 4 / 18 = 2 /9
3. Antoinette is building a rectangular pen with 78 feet of fencing. If the length of the pen is 5
feet longer than its width, what are the dimensions of the pen?
Width
Length
NUMBER 3
Answer:
length = 22
Width = 17
Step-by-step explanation:
78 = 2(w+5) + 2(w)
78 = 2w + 10 + 2w
78 = 4w + 10
68 = 4w
w = 17
l = 17 + 5 = 22
How can she find the coordinates of the new point without graphing the point?
#CarryOnLearning
Need help solving this problem
Answer:
46-22= 24
Therefore, the answer is ;
A.24
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?
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Answer:
43.1 in³
Step-by-step explanation:
The volume can be computed using the formula ...
V = (π/4)d²h . . . . where d is the diameter and h is the height
For your dimensions, the volume is ...
V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³
A full can contains a volume of about 43.1 cubic inches.
Solve this system of linear equations. Separat
the x- and y-values with a comma.
9x - 10y = -34
3x - 4y = -16
Answer:
[tex]9x - 10y = - 34 - - - (a) \\ 3x - 4y = - 16 - - - (b) \\ (a) - 3 \times (b) : \\ 0x + 2y = 14 \\ y = 7 \\ 3x - (4 \times 7) = - 16 \\ 3x = 12 \\ x = 4[/tex]
answer: ( 4, 7 )
Hi there!
»»————- ★ ————-««
I believe your answer is:
(4,7)
»»————- ★ ————-««
Here’s why:
I have graphed the system on a program. The two lines intercept at the point (4,7). This means that it is the solution to the system. See the graph attached.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A cone is 37 inches long and has a diameter of 7 inches. What is the approximate volume of the cone?
Answer:
Below
Step-by-step explanation:
To find the volume of a cone, you can use the equation V=π r^2 (h/3)
Because the diameter is 7, the radius is 3.5 inch ( r=1/2 d)
V = π (3.5^2)(37/3)
= 474.64 in^3
I hope that is correct good luck!
Answer:
474.642
Step-by-step explanation:
To find out the volume of the cone is using V= 1/3 TTR^2 * H
We know TT is pie, pie is 3.19 and the radius of the cone is 3.5 inches because half of seven is 3.5.
V=1/3 3.14 * 3.5 * 3.5 * 37 = 474.642
A coordinator will select 7 songs from a list of 13 songs to compose an event's musical entertainment lineup. How many different lineups are possible
Answer:
8,648,640 different lineups are possible.
Step-by-step explanation:
The order in which the musics are there is important(lineup means that order matters), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many different lineups are possible?
7 musics from a set of 13. So
[tex]P_{(13,7)} = \frac{13!}{(13-7)!} = \frac{13!}{6!} = 8648640[/tex]
8,648,640 different lineups are possible.
What's the inverse of ƒ(x) = 3x3 – 4?
Answer:
Step-by-step explanation:
y = 3x³ -4
the inverse is found by changing x with y and y with x than solve for y
x = 3y³ -4
x+4 = 3y³-4+4; add 4 to both sides
x+4 = 3y³
(x+4)/3 =y³ ;divide both sides by 3
∛((x+4)/3) = y ;cube root both sides
the inverse function of f(x) =3x³-4 is
[tex]f(x)^{-1} =\sqrt[3]{\frac{x+4}{3} }[/tex]
Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes.
Which equation represents the given problem situation?
c+(c + 2) = 12, where c is the number of dimes
c+2c= 12, where c is the number of dimes
C+(c+ 2) = 12, where c is the number of nickels
c+2c =12, where c is the number of nickels
Answer:
c + (C+2) = 12
Step-by-step explanation:
Assume C is the no of dimes
So there are C+2 no of nickels
Guven that C + (C+ 2) = 12
Please help! 35 points
Answer:
10.A
11.A
12.A
Step-by-step explanation:
thank me later
Which of the following exponential functions represents the graph below
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Answer:
D
Step-by-step explanation:
The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.
1.26×10⁹ as a Ordinary Number
Answer:
1,260,000,000
Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 40 bacteria. (a) What is the size of the population after 15 hours
Answer to the question
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.
HELPPP WHICH KNE DO I PICKK LEASE I NEED TO FO THIS JOW
Answer:
first and third option are correct.
Step-by-step explanation:
6(x+3)
=6*x + 6*3
=6x + 18
change the following into mixed fraction 19/6
Answer:
6 1/6
Step-by-step explanation:
Divide the numerator (19) by the denominator (6)
Write down the whole number result which in this case would be 3
Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number. which in this case is 1/6
therefore the answer is 6 1/6
The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-3+a}{2}=2[/tex]
[tex]-3+a=2\times 2[/tex]
[tex]a=4+3[/tex]
[tex]a=7[/tex]
And,
[tex]\dfrac{3+b}{2}=0[/tex]
[tex]3+b=0[/tex]
[tex]3+b-3=0-3[/tex]
[tex]b=-3[/tex]
Therefore, the coordinates of point B are (7,-3).
Is 4 a factor of x^3-6x^2+8x-12 ? Explain how you arrived at your answer. plz help<3
Answer:
No
Step-by-step explanation:
The coefficents of x³ and x² are 1 and -6 respectively
neither has a factor of 4
Will give brailiest to first
Answer:
A)
[tex]f(x)=x^(2)-2x+3[/tex]
Step-by-step explanation:
Answer:
option a
pls give brainliest
Step-by-step explanation:
Can someone help me?
Answer:
1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value
4-3+5 = 1+5 = 6
-6+8+4 = 2+4 = 6
6=6, so the sentence is correct
2+5 = 19-12 => 7=7, true
5-4-3-2-1 = 30-34-1 => -5=-5, true
2(x+5)-4x = 3(x-2)-5x+16
=> 2x+10-4x = 3x-6-5x+16
=> -2x+10 = -2x+10, true
Step-by-step explanation:
the other two sentences lead to false
4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false
2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false
An aeroplane takes 4 hours to travel a distance of 440 0km. Another aeroplane travels at a speed which is 100km per hour less than the first aeroplane. How long will take the second aeroplane to travel he same distance as the first?
Answer:
7480 hours
Step-by-step explanation:
440 - 100 = 340
LCM of 440 and 340
440 = 2 × 2 × 2 × 5 × 11
340 = 2 × 2 × 5 × 17
LCM = 2 × 2 × 2 × 5 × 11 × 17
LCM = 7480
Choose the greatest fraction.
OA) 1/2
OB) 1/3
C) 1/4
OD) 1/5
PLEASE HELP ASAP Find f(-2) for f(x)=3•2^x
Answer:
3/4
Step-by-step explanation:
f(x)=3•2^x
Let x = -2
f(-2)=3•2^-2
Exponents first ( We know a^-b = 1/ a^b)
f(-2)=3• 1/2^2
=3 * 1/4
= 3/4
Anyone knows the answer ??
Answer:
Hello! answer: 17
Step-by-step explanation:
15 × 15 = 225
8 × 8 = 64
225 + 64 = 289
√289 = 17 17 × 17 = 289 Therefore the answer is 17 hope that helps!
Answer:
17
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]8^{2} + 15^{2} = c^{2}[/tex]
289 = [tex]c^{2}[/tex]
square root both sides
c = 17
5. If the lines 2x + 3ay – 1 = 0 and 3x + 4y + 1 = 9 are mutually perpendicular, then the value of a is (1 Point) O a. O b.3 O-1/2
because the multiplication Slope of 2 perpendicular is -1
⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️
If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)
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Answer:
f(5) = 160
Step-by-step explanation:
The first several terms of the sequence are ...
10, -20, 40, -80, 160, -320, 640, ...
Each term is -2 times the previous term.
f(5) = 160
This is Algebra btw.
For the functions defined above, fill in the table of values.
Explain how we can find the solution to the system of equations using the table.
Given equations;
y₁ = 3x - 8 -------------------(i)
y₂ = 0.5x + 7 --------------------(ii)
To fill the table, substitute the values of x into equations (i) and (ii)
=> At x = 0
y₁ = 3(0) - 8 = -8
y₂ = 0.5(0) + 7 = 7
=> At x = 1
y₁ = 3(1) - 8 = -5
y₂ = 0.5(1) + 7 = 7.5
=> At x = 2
y₁ = 3(2) - 8 = -2
y₂ = 0.5(2) + 7 = 8
=> At x = 3
y₁ = 3(3) - 8 = 1
y₂ = 0.5(3) + 7 = 8.5
=> At x = 4
y₁ = 3(4) - 8 = 4
y₂ = 0.5(4) + 7 = 9
=> At x = 5
y₁ = 3(5) - 8 = 7
y₂ = 0.5(5) + 7 = 9.5
=> At x = 6
y₁ = 3(6) - 8 = 10
y₂ = 0.5(6) + 7 = 10
=> At x = 7
y₁ = 3(7) - 8 = 13
y₂ = 0.5(7) + 7 = 10.5
=> At x = 8
y₁ = 3(8) - 8 = 16
y₂ = 0.5(8) + 7 = 11
=> At x = 9
y₁ = 3(9) - 8 = 19
y₂ = 0.5(9) + 7 = 11.5
=> At x = 10
y₁ = 3(10) - 8 = 22
y₂ = 0.5(10) + 7 = 12
The complete table is attached to this response.
(ii) To find the solution of the system of equations using the table, we find the value of x for which y₁ and y₂ are the same.
As shown in the table, that value of x = 6. At this value of x, the values of y₁ and y₂ are both 10.
Based on the graph, between which two values of x is a zero of g located?
Answer:
Between 4 and 5
Step-by-step explanation:
Given
See attachment for graph
Required
Between which points is g(x) = 0
From the attachment, we can see that the graph crosses the x-axis at 4... and -1...
This means that
g(x) = 0 between 4 and 5
g(x) = 0 between -1 and -2
Going by the available options,
g(x) = 0 between 4 and 5
Rosa went out to dinner with her three friends. The bill at the restaurant totaled $95.50. They wanted to give a tip of 20%. How much money did they pay altogether?
Answer: $108.60
Step-by-step explanation:
Initial cost: $95.50
Tip is an additional cost. They want to give a tip of 20%, so they will give additional 20% of the initial cost.
$90.50 + (90.50 * 0.2)
= $90.50 + $18.10
= $108.60
Calculate the geometric mean return for the following data set:
-3% 2% -5% 2.7% 3.1%
Answer:
none Geometric mean cannot be calculated for negative values
Step-by-step explanation: