Answer:
The odds are 12
Step-by-step explanation:
The odds of rolling an odd number from the sum of two rolls requires that we roll one even number from one die and an odd number from another die.
Thus the probability of the event is P(e) = 1/12.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
For the given situation,
The sample space for rolling two 6 sided dice is
[tex]s[/tex] = { [tex](1,1),(1,2),(1,3),(1,4),(1,5),(1,6)[/tex]
[tex](2,1),(2,2),(2,3),(2,4),(2,5),(2,6)[/tex]
[tex](3,1),(3,2),(3,3),(3,4),(3,5),(3,6)[/tex]
[tex](4,1),(4,2),(4,3),(4,4),(4,5),(4,6)[/tex]
[tex](5,1),(5,2),(5,3),(5,4),(5,5),(5,6)[/tex]
[tex](6,1),(6,2),(6,3),(6,4),(6,5),(6,6)[/tex]}
So, [tex]n(s)=36[/tex]
Let the event be the probability that the sum is odd and the number on one of the dice is a 5
Consider that the probability that the sum is odd be a,
[tex]a =[/tex] { [tex](1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(3,6),\\[/tex]
[tex](4,1),(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5) }[/tex] }
Consider that the probability that the number on one of the dice is 5 be b,
[tex]b=[/tex] { [tex](1,5),(2,5),(3,5),(4,5),(5,5),(6,5)[/tex] }
The probability of the event can be find by taking intersection of a and b
⇒[tex]e=a[/tex]∩[tex]b[/tex] = { [tex](2,5),(4,5),(6,5)[/tex] }
⇒[tex]n(e)[/tex] [tex]=3[/tex]
Probability (event )=[tex]\frac{n(e)}{n(s)}[/tex]
⇒[tex]p(e)=\frac{3}{36}[/tex]
⇒[tex]p(e)=\frac{1}{12}[/tex]
Hence we can conclude that the probability of the event is P(e) = 1/12
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I'm in Algebra 1 and I need help with this, (show all working as well please)
Answer:
Step-by-step explanation:
All you do is draw a line straight across 5x and then graph 1 which is right next to 5.
please help me answer !!!!
Answer:
what are the options in the scroll down options
vjzgxv. vjvjcvjkv. vjvkvkkb
Plz I really need help with this problem
Answer:
The area of the shaded portion is 450.185 in^2
Step-by-step explanation:
21^2+20^2=841
The square root of 841 is 29
29+20+21=70
70*1/2=35
35-29=6
35-21=14
35-20=15
The square root of 35*6*14*14=210
The area of the triangle is 210 in^2
The diameter of the circle is 29, so the radius is 14.5
14.25^2=210.25
210.25*3.14=660.185
660.185-210=450.185
Show the fraction, decimal, and final percent for each. Round your percent to the
nearest whole.
66 out of 85 on a project
Answer:
66 to 70 and 85 to 90
Step-by-step explanation:
Add 6.1 and 51.24
What the answer please :)
Answer: 57.34
Step-by-step explanation:
2)
During a 500 minute car trip, Luke spent 74 minutes listening to his MP3 player, 56 minutes playing video games,
128 minutes watching a movie, and 38 minutes reading. The rest of the time he spent napping. If the time Luke
spent on these four activities is rounded to the nearest ten, about how many minutes did Luke spend napping?
A. 100 min.
B. 200 min.
C. 300 min.
D. 400 min.
Type here to search
O
9:28 PM
3/16/2021
DOLL
Answer:
B.) About 200 minutes napping
Step-by-step explanation:
74+56+128+38=296
500-296=204
204 is about 200
The sum of two numbers is 59. The difference between the two numbers
is 11. Which is the larger of the two numbers?
Answer:
35
Step-by-step explanation:
The numbers are 35 and 24
35 + 24 = 59
35 - 24 = 11
35 > 24
What is 16 as a percentage of 80
1.
Prove that the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The equation is given as:
x^2 + (1 - k).x+k-3 = 0
For an equation to have real root, then the following must be true:
[tex]b^2 \ge 4ac[/tex]
In x^2 + (1 - k).x+k-3 = 0, we have:
a = 1
b = 1 - k
c = k - 3
So, we have:
[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]
Evaluate
[tex]1 - 2k + k^2 \ge 4k - 12[/tex]
Collect like terms
[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]
[tex]k^2 - 6k + 13 \ge 0[/tex]
Using a graphing calculator, the value of k is all real numbers
Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
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9.Set R= {a, b, c}. Find the number of subsets in set R.
(4 Points)
Given:
The set is:
[tex]R=\{a,b,c\}[/tex]
To find:
The number of subsets in set R.
Solution:
Formula for number of subsets in a set of [tex]n[/tex] elements is
Number of subsets = [tex]2^n[/tex] ...(i)
We have,
[tex]R=\{a,b,c\}[/tex]
Here, the number of elements are 3. Putting [tex]n=3[/tex] in (i), we get
Number of subsets = [tex]2^3[/tex]
= [tex]8[/tex]
Therefore, the number of subsets is 8 and the subsets are [tex]\phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\}[/tex] and [tex]\{a, b, c\}[/tex].
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=19°, and FG = 62 feet. Find the length of GE to the nearest tenth of a foot.
Answer:180.1 feet
Step-by-step explanation:
Using tan to find the answer; Opposite/Adjacent = 62/x
tan19=62/x
xtan19=62 (cross multiply)
xtan19/tan19=62/tan19 (Divide each side by tan19)
x=62/tan19=180.0611=180.1 feet
In Mr. Elliot's garden, 1 8 of the flowers are red, 1 4 of them are purple, and 1 4 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?
Answer:
20
Step-by-step explanation:
Given that:
Red flowers = 1/8
Purple = 1/4
(1/8 + 1/4) = (1 + 2) / 8 = 3/8
Fraction left :
1 - 3/8 =. 5/8
Pink flowers :
1/4 of fraction left ;
1/4 * 5/8 = 5/32
Number of pink flowers
Total number of flowers = 128
5/32 * 128
640 / 32
= 20
20 pink flowers
please help!!!!!!!!
if XYZ ~ RST, find RS
Answer:
RS = 38
Step-by-step explanation:
20x - 12 = 18x + 12
2x = 24
x = 12
3(12) + 2 = 38
The value of the side of triangle RS is equal to 38.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
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 the sides of the triangle XYZ are, XY = 5x - 3, XZ = 60 and the sides of the triangle TR = 40, RS = 3x + 2.
The value of RS will be calculated as,
( 5x - 3 ) / ( 3x + 2 ) = ( 60 / 40 )
( 5x - 3 ) / ( 3x + 2 ) = ( 6 / 4 )
20x - 12 = 18x + 12
2x = 24
x = 12
RS = 3x + 2
RS = ( 3 x 12 ) + 2
RS = 36 + 2
RS = 38
Therefore, the value of the side of triangle RS is equal to 38.
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Help I will be marking brainliest!!!
A. 2270 feet
B. 2548 feet
C. 4455 feet
D. 9813 feet
If you can, show work. Thanks❤️
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism
Given:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.
To find:
The total surface area of the prism.
Solution:
We have,
Height of prism = 7½ = 7.5
Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=169[/tex]
[tex]169=169[/tex]
So, the base of the prism is a right triangle.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base \times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 5\times 12[/tex]
[tex]A_1=30[/tex]
The area of the base is equal to the area of the top, i.e., [tex]A_2=30[/tex] sq units.
Perimeter of the base is
[tex]P=5+12+13[/tex]
[tex]P=30[/tex]
The curved surface area of the prism is
[tex]CSA=\text{Perimeter of the base}\times \text{Height of the prism}[/tex]
[tex]CSA=30\times 7.5[/tex]
[tex]CSA=225[/tex]
Now, the total area of the prism is
[tex]A=A_1+A_2+CSA[/tex]
[tex]A=30+30+225[/tex]
[tex]A=285[/tex]
Therefore, the total surface area of the triangular prism is 285 square units.
practice problem I need help
Answer:
21
Step-by-step explanation:
just put 21 ok that is the right answer
Answer:
r=21 (the second dot)
Step-by-step explanation:
To find r/3=7 we have to multiply 3*7
3*7=21
So r=21 because 21/3=7
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Step-by-step explanation:
The Answer is gonna have to be A
24. 5%
Fitz and 3 friends are at the amusement park. Each person buys a pretzel for $4, cotton candy for $3, and a drink for $1. Write an expression for the total and find the total cost.
11. A paint color requires the ratio of green paint to yellow paint to be 4 : 9
a. A container of this paint has 36 pints of yellow paint Write a proportion
that gives the numbir g of pints of green paint in the container'
b. How many pints of green paint are in the container?
c. how many gallons of paint are in the container altogether?
Answer:
Step-by-step explanation:
1) 36:81
2)81 pints
3)14.625 gallons of paint
Question is in the photo.
im so confused (please hurry and answer this is due soon
Answer:
its 12 :)
hope this helps you
PLEASE HELP
Your friend is looking at laptops for
college, and is comparing the different
screen sizes. If a laptop has a height of 6
in and a diagonal of 17.5 in, use the
formula below to find the width of the
laptop screen. Round your answer to the
nearest tenths place
17.5 = √6² + w²
17.5² = 36 + w²
306.25 = 36 + w²
270.25 = w²
√270.25 = w
16.4392822 = W
= w = 16.44 in
help pls asap!!!!!!! brainliest!!!!!!
Aaron is the manager for the Mathland Middle
School math team. They are trying to put the
events in order of likeliness of the event
occurring.
Which event is UNLIKELY?
Impossible
Equally likely to
happen or not happen
Unlikely
Certain
Ukely
0
1
0
0%
0.25
25
0.5
50%
4
0.75
75%
100%
P(honor roll) = 1.0
P(left-handed) = 33%
P(failing math) = 0%
P(taking Spanish) = 60%
Answer:
left handed
Step-by-step explanation:
Which two ordered pairs satisfy the equation y = 3x + 2 ?
* (0, 2) and (2, 8)
(1, - 1) and (- 2, 8)
(0, 2) and (- 1, 1)
(2, 8) and (0, 5)
I need help on that question
Answer:
80√3
Step-by-step explanation:
here's your solution
=> First number is 4√5
=> Second number is 4√15
=> we need to find product
=> 4√5*4√15
=> 4*4 = 16
=> √5*√15. = √75
=> √75 = 5√3
=> now, multiple 5√3*16 = 80√3
hope it helps
A circle has a circumference of 7,805 units.
What is the radius of the circle?
Be a LEGEND by answering this
Answer:
A circle has a circumference of 7,805 units.
2πr= 7,805 units.
r=7805/2π1=1242.20unit is radius
Find the distance from the center of a circle to a 14 m long chord if the diameter of the circle is 50 m.
(Draw a picture)
Answer:
700 I think...
Step-by-step explanation:
Multiply
Which algebraic expression is equivalent to 3 less than the sum of y and 5?
HELP!!!! PLZ!!!!!!
4. Using the figure below, find the area of the circle. 10 cm
Answer:
we need the full picture of the circle to see if 10 cm is only half or not