Answer:
D
Step-by-step explanation:
[tex]\frac{1}{18}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].
Number of white socks [tex]=6[/tex]
Number of black socks [tex]=4[/tex]
Number of brown socks [tex]=2[/tex]
A brown sock is picked and replaced then a black sock is picked.
Probability that a brown sock is picked and replaced then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]
[tex]=\frac{1}{3}\times \frac{1}{6}[/tex]
[tex]=\boldsymbol{\frac{1}{18}}[/tex]
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Which of the following are geometric sequences?
Check all that apply.
Answers:
C & DStep-by-step explanation:
There are two general types of sequences that follow a pattern, geometric and arithmetic. Let's see the difference between the two:
An arithmetic sequence is produced by adding the same number to all the terms in the sequence.
EXAMPLE:
5, 7, 9, 11, 13, 15, 17 (The number 2 is added to all terms)
To figure out if a sequence is arithmetic, subtract the first term from the second, then the second from the third and so on until you have checked all the terms.
7 - 5 = 2
9 - 7 = 2
11 - 9 = 2
13 - 11 = 2
15 - 13 = 2
17 - 15 = 2
All results equal 2, so the sequence is arithmetic
From your list: The following sequences are arithmetic
A. 5, 10, 15, 20, 25 (common difference of 5)
The next type of sequence is the geometric sequence.
A geometric sequence is produced when the all the terms in the sequence are multiplied or divided by the same number.
EXAMPLE:
100, 50, 25 (Each term is divided by 2)
To figure this out, we divide each term in the sequence by the next term.
100 / 50 = 2
50 / 25 = 2
All results are two, so this sequence can be confirmed to be geometric
From your list: The following sequences are geometric
C. 10, 5, 2.5, 1.25, 0.625, 0.3125 (common quotient of 2)
D. -9, -3, -1, -1/3, -1/9, -1/27 (common quotient of -3)
There is one final type of sequence, which has no common difference, sum, quotient, or product.
EXAMPLE:
5, 6, 8, 9, 11, 12, 14, 15
This sequence has a pattern, the differences between the numbers are not common.
6 - 5 = 1
8 - 6 = 2
9 - 8 = 1
11 - 9 = 2
12 - 11 = 1
14 - 12 = 2
15 - 14 = 1
From your list: The following sequences are neither geometric nor arithmetic
B. 1, 1, 2, 3, 5, 8, 13 (No pattern)
I'n always happy to help :)
The correct sequences which are geometric sequence is,
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
All the sequences are,
A) 5, 10, 15, 20, 25
B) 1, 1, 2. 3, 5, 8, 13
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
Now, We know that;
Common ratio of the geometric sequences are same.
Hence, We get;
A) 5, 10, 15, 20, 25
Common ratio = 10/5 = 2
Common ratio = 15/10 = 3/2
Hence, It is not geometric sequence.
B) 1, 1, 2. 3, 5, 8, 13
Common ratio = 1/1 = 1
Common ratio = 2/1 = 2
Hence, It is not geometric sequence.
C) 10, 5, 2.5, 1.25, 0.625,
Common ratio = 5/10 = 1/2
Common ratio = 2.5/5 = 1/2
Hence, It is geometric sequence.
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
Common ratio = - 3/- 9 = 1/3
Common ratio = - 1/- 3 = 1/3
Hence, It is geometric sequence.
Thus, The correct sequences which are geometric sequence is,
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
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A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B prime, has the coordinates (2, –3). What is the scale factor of the dilation?
Answer:
it is 1/5
Step-by-step explanation:
the factor of the coordinates b(10,-15) and b'(2,-3) is five, but the figure gets smaller and is a reduction. therefore the scale factor is between 0-1, making it 1/5.
Pls help I really need it I been staring at this for a hour pls help there’s a chance I might give Brainlest
Answer:
the area is 146 mi^2 and the perimeter is 54
Step-by-step explanation:
Answer
perimeter = 44 mi
area = 146 mi²
Step by step
perimeter = 9 mi + 10 mi + 2 mi + 8 mi + 7 mi + 18 mi
perimeter = 44 mi
area = (2 × 10) + (7 × 18)
area = 20 + 126
area = 146 mi²
what is the volume of a cylinder using pi or 3.14 which the height being 8 and the width being 2
Answer:
The volume of the cylinder is 25.12
Step-by-step explanation:
The width is the diameter in the circle of the base
radius = half of diameter
r = 2/2 = 1
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 8
π = 3.14
r = radius = 1
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (1)²) * 8
v = (3.14 * 1) * 8
v =3.14 * 8
v = 25.12
The volume of the cylinder is 25.12
2.) Simplify the following expression: 7n + 4y + 4n + 7y *
0 points
8y + 14n
11n + 11y
14y + 8n
Already simplified
Other:
Answer:
11n+11y
Step-by-step explanation:
CLT
7n+4n+7y+4y
11n+11y
A total of 503 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
225 adult tickets were sold
To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.
The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.
The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.
a boy is twice as tall as his little sister and 30cm shorter than his father. Their combined height is 3.8m. Find in centimetres the height of each person
Answer:
190
Step-by-step explanation:
Write an equation that represents the line (-2,1) and (4,6)
Answer:
y - 6 = (5/6)(x - 4)
Step-by-step explanation:
Write an equation that represents the line through the points (-2,1) and (4,6)
As we move from (-2, 1) to (4, 6), x increases by 6 and y increases by 5.
Thus, the slope of the line connecting these two points is m = rise/run = 5/6.
Using (4, 6) as one point on the line, the equation of the line in point-slope form is
y - 6 = (5/6)(x - 4)
Answer: y - 6 = (5/6)(x - 4
Step-by-step explanation:
A triangle has angle measurements of 87 degrees and 32 degrees. What is the measurement of the third angle?
a
119 degrees
b
63 degrees
c
180 degrees
d
61 degrees
Answer:
61 degrees
Step-by-step explanation:
a triangle measures 180 degrees
so your going to add 87 and 32 which gives us 119
since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees
Answer:
its 61 on edg
Step-by-step explanation:
i took the test and got a 93.2%
What is the surface area of the pyramid?
A 160
B 188
C 224
D 256
PLEASE HELP ASAP
Answer:
160
Step-by-step explanation:
one of the triangle faces:
4 × 6 = 24cm^2
theres 4 triangle faces so 24 × 4 = 96 cm^2
then u have to add on the square face which is 8×8 =64cm^2
total:
64 + 96 = 160cm^2
Answer:
A your welcome
Step-by-step explanation:
What is the sale price of a $15 shirt that is 20% off? (round to the nearest cent)
Answer:
12
Step-by-step explanation:
sale price is (100-20)% of 15 = 80/100 * 15 = 12
-5n-12=-7n+28 solve the equation
Answer:
n = 20
Step-by-step explanation:
Add 7n to both sides.
-5n + 7n - 12 = 2n - 12.
-7n + 7n + 28 = 28.
Now the equation is 2n - 12 = 28.
Add 12 to both sides to isolate the variable.
2n - 12 + 12 = 2n.
28 + 12 = 40.
Now the equation is 2n = 40. Divide both sides by 2.
n = 20.
Answer:
n=20
Step-by-step explanation:
-5n-12 =-7n+28
plus 7n to each side
2n - 12 = 28
add 12 to each side
2n=40
divde by 2 to isolate the n.
you get n=20
8 passengers in 2 cars = passengers per car
Answer:
4
Step-by-step explanation:
8 divided by 2 = 4
East Side Middle School Debate Wins
0
2
4
6
8
10
12
14
16
18 20
Which of these inferences about the two dobate teams
are true? Check all that apply
West Side is more consistent at winning
East Side is more consistent at winning
East Side typically wins more debates per year than
West Side
West Side typically wins more debates per year
than East Side
These graphs do not contain enough information
from which to draw inferences
West Side Middle School Debate Wins
Answer: 2,3
Step-by-step explanation: I literally just did it
A movie theater has a seating capacity of 315. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2280, How many children, students, and adults attended?
Answer:
84 students
Step-by-step explanation:
Let x be the number of adults.
Then the number of children is 2x, according to the condition,
and the number of students is the rest (315-x-2x) = (315-3x).
The "money" equation (the revenue equation) is
12x + 5x(2x) + 7x(315-3x) = 2282.
12x + 10x + 7x315 - 21x = 2282
x = 2282 - 7x315 = 77 is the number of adults.
77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.
If Dennis rolls 2 number cubes with sides labeled 1 to 6, what is the probability that the sum of the numbers is greater than or equal to 10?
Answer:
Probability (sum of the numbers ≥ 10) = 1/6
Step-by-step explanation:
Given:
Number of Dice = 2
Total number on dice = 1, 2, 3, 4, 5, 6
Find:
Probability (sum of the numbers ≥ 10)
Computation:
Total number of probability = 6 × 6
Total number of probability = 36
Sum of number greater than or equal to 10 are:
(4,6), (5,5), (5,6), (6,6), (6,4), (6,5)
Total number of outcomes = 6
Probability (sum of the numbers ≥ 10) = Total number of outcomes / Total number of probability
Probability (sum of the numbers ≥ 10) = 6 / 36
Probability (sum of the numbers ≥ 10) = 1/6
Which of the following expressions can be used to find the perimeter of a rectangle?
2l + 2w
l + l + w + w
l + l + 2w
2l + w
2(l + w)
l(2+w)
2l + 4
l + w + 4
Answer:
2l + 2w. l+l+w+w. l+l+2w. 2(l+w)
Use a net to find the total surface of the prism.
29 cm
6.5 cm
19 cm
1726 cm
1121 cm
2671 cm
1110 cm
Answer:
6682.5cm
Step-by-step explanation:
29+6.5=35.5+19=54.5+1,726=1,780.5+1121=2901.5+2671=5572.5+1110=6682.5
A 4-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower
Answer:
Because we are dealing with both feet and inches, and your question didn't state if it was to be rounded, I got 301.2 feet.
Step-by-step explanation:
(4/1.66)=(x/125)
solve for X
X≈301.2
What is the measure of arc ABC?
Answer:
BA=180°
C=70°
180° - 70° = 110°
Step-by-step explanation:
What is the domain of the function y = 2 StartRoot x minus 6 EndRoot?
The domain of the function y = 2√(x - 6) is all real numbers x such that x is greater than or equal to 6. This is represented as [6, ∞).
The domain of the function y = 2√(x - 6) is the set of all x-values for which the expression inside the square root is non-negative. This is because the square root function is only defined for non-negative values.
To find the domain, we set up the inequality:
x - 6 ≥ 0
Solving this inequality, we get
x ≥ 6
Therefore, the domain of the function y = 2√(x - 6) is [6, ∞). This includes all real numbers x starting from 6 to positive infinity.
A rectangle has a height of x and a width of 7x-4 what is the area
Answer:
Step-by-step explanation:
Answer:
(7x² - 4x) unit²
Step-by-step explanation:
Area of rectangle = width × height
Width = 7x - 4
Height = x
Area = x ( 7x - 4)
Area = (7x² - 4x) unit²
Gomer stores his Iguana Food IN A CAN that is 8 inches tall and
has a diameter of 3 inches. What is the volume of the Iguana Food
can?
Katie bought 2 one-gallon bottles of juice for a party. Her guests drank 64gallons of juice. What fraction of a gallon of juice is left over? Draw a number line to show,and explain your answer.
Answer:
1/2 gallon
Step-by-step explanation:
Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.
[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}[/tex]
The fraction of a gallon of juice left over is:
[tex]f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}[/tex]
Therefore, there is 1/2 of gallon of juice left over.
Which number is greater: 1/4 or 5/4 ?
Answer:
1/4 < 5/4
Step-by-step explanation:
Since the numbers have the same denominator, we compare the numerators
1 < 5
so 1/4 < 5/4
Answer:
5/4
Step-by-step explanation:
Hello there!
Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.
5>1, so 5/4 is greater.
:)
If 2 is equal to 156°, what is the measure of 3?
Answer:
3 = 234
Step-by-step explanation:
156 ÷ 2 = 78 so then 156 + 78 = 234
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if the ratio of boys to girls is 2:3 and there are 15 girls in your class, how many boys are there.
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Expand the expression.
-70k - 3)
Answer:
-70003
Step-by-step explanation:
-70000 - 3 = - 70003
The solution of the equation 3(x + 3) = 12 is ?
Step-by-step explanation:
Hello there!
Solve for x using the distruibutive property:
3(x+3)=12
3x+9=12
3x=3
x=1
:)
Answer:
x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
3x=3
x=1
can someone solve this please
Answer:
ML = 6
Step-by-step explanation:
If JM = 6, then ML = 6 because they are congruent.