The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. on the bottom shelf are 3 fiction and 5 nonfiction books. choosing which 2 books describes a pair of dependent events?
Answers
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
What is probability?Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change. Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance. Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is. Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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Related Questions
Any help is appreciated!
Answers
a= 40
b= 50
c=115
a = 40 because it’s a vertical angle to 40, congruent / the same.
b= 50 because the right triangle will equal 180 degrees. 180 - 90 - 40 = 50.
c = 115 because the supplementary angle shown will equal 180 degrees. 180-65 = 115.
Answer:
∠a=40°, ∠b=50°, ∠c=115°.
Step-by-step explanation:
∵The opposite vertex angles are equal,
∴∠a=40°.
∴∠b=90°-∠a=90°-40°=50°.
∠c=180°-65°=115°.
pls help!
using the numbers 1-9 fill in the boxes so that it meets the criteria. use each number only once per red box and once per blue box
Answers
The way to solve this is to try to get the vales that would best fill the empty spaces in the diagram. This has been done below
a. log6⁰, log 2 . 1, log 8/3
b. log 1 .4 , 1 , log 4. 6
c. log 9/2, log 3. 5 , log 5⁷
How to find the logarithm of a numberTo do this, you have to decide on that specific number whose logarithm you are trying to determine. Next you have to find the base of that number.
The logarithm of the number is the power that it would have to be raised for us to obtain a different number.
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Quadilateral ABCD is similar to quadilateral EFGD. Which angle of quadilateral ABCD corresponds to F
Answers
Answer:
< B.
Step-by-step explanation:
B corresponds to F.
PLS HELP IM SUPER STUCK AAA
Answers
Answer:
(15,0) , (0,6)
Step-by-step explanation:
Same concept as the previous 2 questions.
x-intercept is where the line touches the x-axis, and y = 0.
when y = 0,
12x + 30(0) = 180
12x = 180
x = [tex]\frac{180}{12}[/tex]
x = 15
Therefore the coordinates of the x-intercept is (15,0)
y-intercept is where the line touches the y-axis, and x = 0.
when x = 0,
12(0) + 30y = 180
30y = 180
y = [tex]\frac{180}{30}[/tex]
y = 6
Therefore the coordinates of the y-intercept is (0,6)
Write a scenario that could work for the following line of best fit: y = x + 1. Explain the slope and intercept
n this context.
UPLOAD
Answers
The linear equation can represent the ages of two sisters that are born one-year apart.
What situation can model the given linear equation?Here we have the linear equation:
y = x + 1
So the value of y is always one more than the value of x, so for example, suppose that two sisters are born one-year appart, then we can use the above linear equation to represent the age of the older sister as a function of the age of of the younger one.
In that case, the slope of 1 means that both of the sisters age at the same ritm.
The y-intercept of 1 means that the older sister is 1 years old when the younger sister was born.
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There are 25 girls, 18 boys and 7 adults on a bus. What percentage
of the people on the bus are adults?
Answers
Answer:
0.5%
Step-by-step explanation:
Use the graph to write the explicit rule of the arithmetic sequence.
Question 19 options:
A)
ƒ(n) = 9 + 2(n – 1)
B)
ƒ(n) = 5 + 3(n – 1)
C)
ƒ(n) = –3 + 2(n – 1)
D)
ƒ(n) = 3 + 2(n – 1)
Answers
Answer: D
Step-by-step explanation:
The first term is 3 and the common difference is 2.
Substituting into the explicit formula for an arithmetic sequence gives D as the correct answer.
Mar18/Q9 - V2
2^p=1\8^4
Find the value of p.
Answers
Answer:
-12
Step-by-step explanation:
2^p = ⅛⁴
⅛ x ⅛ x ⅛ x ⅛ = 1/4096
2^p = 4096
log base 2 of 1/4096 = -12
What is the end behavior of the function f of x equals negative 4 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.
Answers
The end behavior of the function is as:
as →∞, f(x)→+∞ and as x→-∞, f(x)→+∞
What is end behavior?The x-axis "endpoints" of a function's graph are referred to as its "end behavior" in this context.
How do determine the end behavior of a function?choosing the polynomial function's greatest degree. The highest degree term will dominate the graph since it will expand more quickly than the other terms as x gets very big or very small.
Function f(x)=2∛x has the following graph:
The behavior of the function at its conclusion is because it leads to infinity.
as x→∞, f(x)→+∞ and as x→-∞, f(x)→+∞
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The perimeter of a square must be greater than 164 164 inches but less than 188 188 inches. find the range of possible side lengths that satisfy these conditions. (hint: the perimeter of a square is given by p=4s p = 4 s , where s represents the length of a side). express your answer in interval notation. use decimal form for numerical values.
Answers
The range of possible side lengths in interval notation 41 < s < 47
What does it mean to interval notation?
Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.Since the perimeter is four times the side, the constraints on the perimeter are immediately translated into constraints on the side-
[tex]164 < p < 188 = 164 < 4s < 188[/tex]
So, if you divide every term in the inequality by 4, you have
[tex]\frac{164}{4} < s < \frac{188}{4}[/tex]
Now simply evaluate the fractions
41 < s < 47
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Kaley solved 10 x 5 x 2 using the equations below.
10 x 5 x 2 = (10 × 5) × 2
= 50 x 2
= 100
Use the equations below to solve 10 x 5 x 2 in a different way.
10 x 5 x 2
= 10 x (
= 10 x
=
= 100
=
x 2)
Answers
Answer + Step-by-step explanation:
10 × 5 × 2
= 10 × (5 × 2) (associative property)
= 10 × (10)
= 10 × 10
= 100
10 x 5 x 2
= 10 x (5 x 2)
= 10 x 10
= 100
By placing the parenthesis in another place, what we did was simplify what 5 x 2 gave us and then multiply that by the remaining integer. Because 5 x 2 = 10, we can multiply 10 x 10 to find that:
1. 10 x 10 = 100
2. (10 x 5) x 2 = 10 x (5 x 2)
Likewise, if we wanted to, we could also rearrange the parenthesis to multiply 10 x 2 and get 20 x 5. That also would give us 100.
The other method to solve this problem is 10 x (5 x 2) = 100. If you need any extra help, let me know and I will gladly assist you.
Charlie began hiking from her campsite back to her car. Her campsite was located 9 miles from her car. She had walked for 1 hour and was 2 miles from her campsite when she realized she had forgotten her water bottle. She hurried back to her campsite in 0.5 hours, collected her water bottle, and rested for 0.5 hours. Then she began hiking back to her car at a quicker pace. She hiked for 3 more hours before she reached her car. Which graph represents Charlie's distance from her car at different times?
Answers
The Distance - Time graph that represents that represents Charlie's trip is attached accordingly.
What is a Distance - Time Graph?A distance-time graph can be used to illustrate the distance traveled by an item moving in a straight line.
The gradient of the line in a distance-time graph equals the speed of the item. The quicker the item moves, the higher the gradient (and the steeper the line).
What is the use of a Distance - Time Graph?Some of the uses of the distance-time graph are;
The position of the object at a time can be detected using the distance - time graphThe D-T Graph can provide the speed at which a person or an object is traveling.Learn more about Distance - Time Graph:
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Puppy A weighs 8 pounds, which is about 25% of its adult weight. What will be the adult weight of Puppy A?
2. Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the adult weight of Puppy B?
3. If you haven’t already, write an equation for each situation. Then, show how you could find the adult weight of each puppy by solving the equation.
Let x
be the weight of Puppy A.
Answers
Answer:
below
Step-by-step explanation:
1) 8 = 25 percent
100 percent = 8 x 4
100 percent = 32
2) 8 = 75 percent
5 percent = 8 / 15
100 percent = 8 / 15 x 20
100 percent = 10.67
3) x = weight of puppy A
y = percentage
z = adult weight
z = x(100 / y)
-5 ____ =2
please help me lol.
Answers
[tex] - 5 + x = 2 \\ add \: 5 \: to \: both \: sides \\ x = 2 + 5 = 7[/tex]
7 is your answer[tex] - 5 x =2 \\ x = -2/5[/tex]
Assuming you're multiplying:
Answer:
Step-by-step explanation:
Comment
The simple answer is you should put something equivalent to -2/5 in the blank. This is what will happen,
-5 * - 2/5
The 5's will cancel out. The minus sign that was in front of the 5 will become positive because 2 minuses make a plus.
Another way to do the problem is to call the ___ = x
-5 x = 2 Divide both sides by - 5
-5x/ -5 = 2/-5
x = - 2/5
It comes to the same thing.
A third way is just to multiply by - 0.4
-5 * -0.4 = 2
Please help me asap due at 5:00
Answers
Answer:
11/18.
Dan is 8.
Step-by-step explanation:
The initial fraction is
x / 2x-4
Adding 3/3 we have
x+3 / 2x-1 = 2/3
Cross multiply:
3(x+3) = 2(2x-1)
3x + 9 = 4x - 2
9 + 2 = 4x - 3x
11 = x,
So the original fraction was 11 / 2(11) - 4
= 11/18.
If Dans age is d then Lois's age = 4d.
So 4d + d = 40
5d = 40
d = 8.
So Dan is 8 years old.
in a convex hexa
gon the sum of interior is how many times the sum of exterior angles
Answers
Answer:
Twice
Step-by-step explanation:
In a convex hexagon the sum of all interior angle is equal to twice of exterior angles.
PLEASE MARK ME AS BRAINLIST
The table of ordered pairs (x,y) gives an exponential function.
Write an equation for the function.
Answers
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
At point (0, 8):
8 = ab⁰
a = 8
At point (1, 32):
32 = 8b
b = 4
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
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Determine the sum of the first 40 terms in the geometric series: 1, 1.5, 2.25, 3.375, …
Answers
The sum of the first 40 terms of the geometric sequence is:
22,114,662.64
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms of a sequence is:
[tex]S_n = \frac{a_1(1 - q^n)}{1 - q}[/tex]
For this problem, the parameters are:
a1 = 1, q = 1.5, n = 40.
Hence the sum is:
[tex]S_{40} = \frac{1 - 1.5^{40}}{1 - 1.5} = 22,114,662.64[/tex]
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A professional basketball team won 48 games and lost 32. what fraction of the games did the team win?
Answers
Answer:
48/80 = 6/10
Step-by-step explanation:
48 wins
+ 32 lost
= 80 total games
Then the fraction of the games win is:
48/80
= 6/10
Answer:3/5 of the games
Step-by-step explanation: The total number of games played by the team is 48+32 = 80 games. out of hose 80, they won 48 so they won 48/80 games. We can simplify this by dividing both sides by 8 to get 6/10. Which is 60%. Finally we can simplify again by dividing the fraction by 2/2 to get 3/5.
PLS HELP ASAP
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base 25\text{ m}25 m25, start text, space, m, end text and height 30\text{ m}30 m30, start text, space, m, end text.
Answers
Answer:
see attached
Step-by-step explanation:
Each grid square represents 5 m, so the distances shown on the grid will be scaled appropriately.
Scale drawingThe 25 m base dimension will be represented by (25 m)/(5 m/square) = 5 squares.
The 30 m height dimension will be represented by (30 m)/(5 m/square) = 6 squares.
The attached drawing shows the triangle with base 25 m and height 30 m on a 5 m grid.
Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be PLEASE NEED HELP
moved by dragging with a mouse.
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is Response area. Because the formula for the volume of a prism is V=Bh, where B is the area of the base and h is the height, the formula for the volume of a pyramid is Response area.
Answers
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3; the formula for the volume of a pyramid is V = 1/3Bh.
Volume of pyramidVolume of prism, V = BhVolume of pyramid, V = 1/3Bhwhere,
B = the area of the base and h = the heightVolume of prism : Volume of pyramid
Bh : 1/3Bh
Therefore, the ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3.
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!
Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!
Answers
The line is parallel to y axis
We know that if a line is parallel to y axis
slope=tan90=undefinedSo there is no slope
Here it has constant x value as -2
So the equation is
x=-2Option A
Answer:
x = -2
Step-by-step explanation:
The line is crossing the x-axis at -2, The graph is attached
Since it is identical to the graph given in the problem, x=-2 is the correct answer
Find the surface area of the figure.
8 in.
8 in.
12 in.
12 in.
8 in.
10 in.
SA = [? ]in.²
10 in. SA
Enter P
I
Answers
The surface area of the rectangular prism shown in the figure is 512 in²
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Surface area = 2(8 * 8) + 2(12 * 8) + 2(8 * 12) = 512 in²
The surface area of the rectangular prism shown in the figure is 512 in²
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PLS HELP ITS MATH PLS
Answers
Answer:
y = 2x + 7
Step-by-step explanation:
When a line is parallel to another line, then the slopes of the lines are equal. If line A has an equation y = 3x + 5, then line B, parallel to line A, must also have a slope of 3. Therefore, we know that m (slope) is 2 in this case.
Next, let’s substitute the x and y coordinates and the slope value into y - y1 = m(x - x1). In this case, -4 is x1, and -1 is y1.
y - y1 = m(x - x1)
y + 1 = 2(x + 4)
Finally, simplify the equation and transform it into the slope intercept form, y = mx + b.
y + 1 = 2(x + 4)
y + 1 = 2x + 8
y = 2x + 7
giving brainliest to right answer tyy
Answers
Answer:
B
Step-by-step explanation:
Original form:
y=mx+b
m=slope
b=y interecept
By replacing those variables with the given we come up with the equation of:
y=3/2x-7
Answer:B
Step-by-step explanation:
Find the standard matrix for the linear transformation t.t(x, y) = (3x 6y, 3x − 6y)
Answers
The standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
How to determine the standard matrix for the linear transformation t?The linear transformation of matrix T is given as:
t(x, y) = (3x + 6y, 3x − 6y)
When the above linear transformation is represented as a matrix, we have the following expression
T([x]) = | 3x + 6y |
[y] | 3x - 6y |
The above linear transformation of matrix can be rewritten as the following product of matrixes
T([x]) = | 3x + 6y | = | 3 6 | | x |
[y] | 3x - 6y | | 3 -6 | | y |
From the above equation, the standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
Hence, the standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
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AB passes through A(-3,0) and B(-6,5). what is the equation of the line that passes through the origin and is parallel to AB?
Answers
Answer:
y = -5/3x or 5x +3y = 0
Step-by-step explanation:
To write the equation of a line through the origin, we need only find its slope. It is parallel to the line through the given points, so will have the same slope.
SlopeThe slope of a line through points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (5 -0)/(-6 -(-3)) = 5/(-3) = -5/3
EquationThe line trough the origin has a y-intercept of zero, so its equation will be ...
y = mx
For the slope we found, the desired equation is ...
y = -5/3x
Standard formIf we multiply by 3 and add 5x, we have ...
3y = -5x
5x +3y = 0 . . . . . . standard form equation of the line
Is Figure B a scale copy of Figure A?
Answers
Help, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
student 2 is correct
Step-by-step explanation:
there are 10 [tex]\frac{1}{10}[/tex] ' s in 1 , so
37 × 10 = 370 ← number of tenths in 37
0.6 = [tex]\frac{6}{10}[/tex] , that is 6 tenths
then
37.6 = 370 + 6 = 376 ← number of tenths
PLEASE HELP IM STUCK ON THIS
Answers
Answer:
(-1,1)
Step-by-step explanation:
look where the two equations intercept that is usually the answer