Answer:
a. P(O) = ¹/₂ = 0.5
As a percentage, this is 50%
b. P(> 2) = ²/₃ = 0.666...
As a percentage, this is 66.6...%
c. P(< 7) = 1
As a percentage, this is 100%
d. P(prime) = ¹/₂ = 0.5
As a percentage, this is 50%
Step-by-step explanation:
a.
1, 3 and 5 are odd, 3 of the outcomes
2, 4 and 6 are even, 3 of the outcomes
So, 3 of the 6 possible outcomes are odd and 3 are even;
Thus, the probability of an odd roll is ³/₆ (and the same applies to even);
This can be simplified to ¹/₂
b.
3, 4, 5 and 6 are the outcomes > 2;
1 and 2 are the outcomes ≤ 2;
So, 4 of the 6 possible outcomes are > 2;
Thus, the probability of rolling < 2 is ⁴/₆;
This can be simplified to ²/₃
c.
All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;
This means the probability of rolling less than 7 is ⁶/₆, or simply 1
d.
Prime numbers: 2, 3, 5, 7 ...
The possible prime number outcomes are 2, 3 and 5;
3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂
Translate triangle ABC using the vector ( 6, - 2).
Answer:
Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.
After translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given vector is (6, -2).
From the given triangle vertices are (-6, 1), (1, 1) and (0, -4)
From the given vector, it shows 6 units right shift and 2 unit down shift.
Here, vertices of image are
(-6, 1)→(-6+6, 1-(-2))→(0, 3)
(1, 1)→(1+6, 1-(-2))→(7, 3)
(0, -4)→(0+6, -4-(-2))→(6, -2)
Hence, after translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
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17) Which number is located the same distance on
a number line from -5 as 3 is?
Answer: -13
Step-by-step explanation:
I know that the distance between -5 and 3 is 8 so I subtracted 8 from the negative 5 so it would be the same distance and I got -13
Answer:
-13
Step-by-step explanation:
In the expression -3×+4y-2 what are the variables
Answer:
x and y are the variables
Write each value in standard form.
1. 507 thousandths
2. 5 and 6 thousandths
3. 9 and 62 thousandths
Answer:
1. 0.507
2. 5.006
3. 9.062
Step-by-step explanation:
If a value has “thousandths” in the question, the decimal place goes 4 places to the left: ex. 0.007.
Solve the inequality: x + 5 < 7 x < 3 , x > -2. , x > 12. , x < 2
Answer:
(d) x < 2
Step-by-step explanation:
Subtract 5 from both sides of the inequality, the same way you would if it were an equation.
x +5 < 7 . . . . . . given
x +5 -5 < 7 -5 . . . . . show subtraction of 5
x < 2 . . . . . the solution
From a group of 15 men and 12 women, how many ways can you select a group of 2?
Answer:
The total number of ways this can be done together is 105 × 66 = 6930
This is a combination question question it has to do with selection.
In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;
15C2 = 15!/(15-2)!2!
15C2 = 15!/13!2!
15C2 = 15×14/2
15C2 = 105 ways
Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;
12C2 = 12!/(12-2)!2!
12C2 = 12!/10!2!
12C2 = 12×11/2
12C2 = 66 ways
The total number of ways this can be done together is 105 × 66 = 6930
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five and one third plus five ninths
Answer: The answer is 8/9
Step-by-step explanation:
Answer:
53/9 or 5 and 8/9
Step-by-step explanation:
5 1/3 + 5/9
we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get
16/3
we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:
48/9
now we can add the two:
48/9 + 5/9 = 53/9 or 5 and 8/9
Complete the table using the equation y = 8x + 9.
Answer:
×=9-y
Step-by-step explanation:
you can do it believe in your self
L shcool W clash royale
Answer:
THEY ARE CONGRUENT BY ASA TEST OF CONGRUENCE1. At her new job Mary earns $100 more than twice the salary she earned as a college intern.
If she now earns $2100, how much did she earn as an intern?
Answer:
$1000
Step-by-step explanation:
Inverse operation
2100-100=2000
2000/2=1000
Sorry if its wrong but hope this helpssss
help with this please help
Answer:
10
Step-by-step explanation:
Which of the following is an equivalent form of the compound inequality
Answer:
pls mark brainy
Step-by-step explanation:
option (d) is correct.
An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Step-by-step explanation:
Given a compound inequality −44 > −2x − 8 ≥ −8
We have to write an equivalent form of compound inequality.
Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.
Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.
For given compound inequality, −44 > −2x − 8 ≥ −8
we have
Left side of inequality as −44 > −2x − 8
and right side of inequality as −2x − 8 ≥ −8
Thus, option (d) is correct.
Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
A group of 4 friends went out for a special dinner. the items they ordered are listed below
24.95+18.96+17.55+23.14+12.00=96.60
Part B: The four friends decided to split the bill evenly. How much does each friend owe
24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60
4 divided by 12 is 3
The annual rainfall in a town has a mean of 51.84 inches and a standard deviation of 8.05 inches. Last year there was rainfall of 63 inches. How many standard deviations away from the mean is that
It is 1.39 standard devaitions away from the mean.
Since the mean x = 51.84 inches and the standard deviation, σ = 8.05 inches.
The amount of rainfall last year was X = 63 inches.
The difference between X and the mean x is d = X - x
= 63 - 51.84 in
= 11.16 in
To find the number of standard devaitions X is from the mean, n, we divide d by the standard deviation,σ.
So, n = d/σ
= 11.16 in/8.05 in
= 1.39
So, it is 1.39 standard devaitions away from the mean.
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According to this diagram, what is sin 23°?
67°
13
5
Сл
23°
90°
12
O A.
13
5
12
O B.
B. 13
12
13
O c.
c.13
O D.
D.
5
13
O E.
13
12
5
OF.
Using relations in a right triangle, it is found that the sine of 23 degrees is given by:
D. 5/13.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:
sin(23º) = 5/13.
Which means that option D is correct.
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essential skills test ,The cost of a haircut is $23. How much do 3 haircuts cost?
Answer:
$69 is correct
hope this helps
Answer: $69
Step-by-step explanation:
multiply 23 and 3
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answer:
You told me to resolve this question
How long would it take 100,000 grams of
radioactive iodine, which has a half-life of 60 days, to decay to
25,000 grams? Use the formula N = N() where N is the final amount of the substance, N, is the initial amount, and #
represents the number of half-lives.
Answer:
t = 2 half-lives = 2*60 days = 120 days
hope this helps
Step-by-step explanation:
a. 7 + 3 x 2 + 4 = 25
7+ 3x2+4 =25
Answer:
False
Step-by-step explanation:
The sides are not equal.
26/111
Three teams, A, B and C, play in a competition.
games won by A: games won by B = 3:1
games won by B: games won by C = 4:3
Team B has won 8 games.
In total, how many games have the three teams won?
38
To get the number of games C won,you multiply the ratio of B:C,4:3 to ratio of known 8:x to get 6 as the games C won.For A,you multiply the ratio of A:B,3:1 to value of known y:8 to get 24 as the games A won.Add 8+6+24 to get total number of games won.
the holiday season,
13 homes on a certain street displayed lights and
8 displayed lawn ornaments. Five of the homes
displayed both lights and lawn ornaments. If there
are 32 homes on the street, how many had no
decorations at all?
O
3-3 Venn Diagram Stations.pdf
Which expression represents the number of thirds in 1
Answer:
A third is written as ¹/₃
Step-by-step explanation:
The way to understand this is the number on the bottom is the number of pieces being divided into;
So ¹/₃ is 1 whole divided into 3 parts;
So, you need 3 ¹/₃ parts to make a whole
[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]
For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?
Answer:
x
Step-by-step explanation:
It still would be a negative.
The comparison that Tina wrote incorrectly is X. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The table is given below.
Comparison Number Opposite value
W -3 3
X -(-9) 9
Y 0 0
Z 4 - 4
The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.
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A shoe box in the shape of a rectangular prism has these dimensions 14in,8 1/2in,4 3/4inwhat is the volume
Answer:
565.25 inches cubed
Step-by-step explanation:
14*(8 + 1/2)*(4 + 3/4)=565.25 inches cubed
4(x-3) < x+3, Where x ∈ W
Please help me
[tex]\large\underline{\sf{Solution-}}[/tex]
Given:
[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]
[tex]\rm\longmapsto 4x-12<x+3[/tex]
[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]
[tex]\rm\longmapsto 3x-12<3[/tex]
[tex]\rm\longmapsto 3x-12+12<3+12[/tex]
[tex]\rm\longmapsto 3x<15[/tex]
[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]
[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]
[tex]\large\underline{\sf{Answer-}}[/tex]
Therefore:
[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]
TOT ROLIOS
-: Study Guide Ratios (Quiz 1)
Arroz Con Leche
Arroz con leche is a creamy dessert from Mexico and Spain.
Nia wants to use 6 cups of rice.
1. How much of each ingredient does she need?
Ingredients
Serves 4 people
2 cups of rice
4 cups of milk
.
cups of rice
.
cups of milk
į cup of sugar
cups of sugar
i handful of raisins
1 cinnamon stick
handfuls of raisins
cinnamon sticks
How many people will this larger batch of Arroz Con Leche serve?
Answer:
If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:
6 cups of rice
12 cups of milk
1 cup of sugar
3 handful of raisins
3 cinnamon sticks
When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche
Which graph appears to show a linear proportional relationship between x and y?
A,B,C, or D
Answer:
Step-by-step explanation:
perform the operation and simplify
Answer:
[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]
Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square
Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help
$49.95 gloves 5 1/4 % markup
Answer:
1234567891011121314151617181920
A rectangular garden is 16 feet wide. Its length is 8 feet more than twice the width. What is the area of the garden?
Answer:
640 ft²
Step-by-step explanation:
Hi there!
We're given:
Width = 16
Length = 2 x Width + 8
Solve for the length:
l = 2(16)+8
l=32+8
l=40
Therefore, the length of the garden is 40 ft.
To find the area, multiply the length and width:
A = lw
A = (16)(40)
A = 640 ft²
I hope this helps!