Answer:
P(green) = ⇒ 5/14
P(red) = ⇒ 2/14
P(green and red) = ⇒ 5/98
The probabilities are P(green) = [tex]\frac{5}{14}[/tex], P(red) = [tex]\frac{1}{7}[/tex] and P(green and red) = [tex]\frac{5}{98}[/tex].
The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.
In this case, Deepak is choosing two marbles one after the other with replacement, which means after drawing the first marble, he puts it back into the bag before drawing the second one.
The probability of drawing a green marble first is the number of green marbles divided by the total number of marbles, which is [tex]\frac{5}{14}[/tex].Since the first marble is replaced, the total number of marbles in the bag remains 14 when drawing the second marble. So, the probability of drawing a red marble second is the number of red marbles divided by the total number of marbles, which is [tex]\frac{2}{14} = \frac{1}{7}[/tex].Since these are independent events (drawing the first marble does not affect the probability of drawing the second), the probability of both events happening is the product of their individual probabilities.
So, the probability that Deepak will choose one green marble and then one red marble is [tex]\frac{5}{14} *\frac{1}{7} =\frac{5}{98}[/tex].
Complete Question:
A bag contains fourteen marbles. There are 4 purple marbles, 3 blue marbles, 5 green marbles, and 2 red marbles. Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. What is the probability he will choose one green marble and then one red marble? Express the probabilities in fraction form.
A bag contains eight black marbles, 16 white marbles, 14 red marbles, and 10 Green marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be white?
A) 1/3
B) 2/3
C) 3/4
D) 15/16
Answer:
B-2/3
There are 48 total marbles and 32 are not white, so if you reduce, you get 2/3
The Answer is B
Explanation:
A restaurant claims to have served 352,000,000 hamburgers. What is this number in scientific notation?
Answer:
3.52 × 10⁸
Step-by-step explanation:
Scientific notation is written in: Number that is in the ones place × 10^power.
Here, the number is 3.52, since 3 has the largest placement.
The power on the 10 should be the number of 0's on 352,000,000/3.52. That is 100,000,000. That number has 8 0's, so the power is to the 8th.
Putting that together, this number in scientific notation in 3.52 × 10⁸.
so yeah. . .. idk how to do this
Please use for reference. Merci.
To find rate of change simply divide y/x.
hour 2: 56/2=28
hour 4: 125/4~about 31.3 or 31
hour 5: 164/5=32.8 or ~ 33
hour 8: 271/8 ~ about 34 or 33.875
hour 13: 404/13 ~ about 31 or 31.0769231
What numbers are the largest?
hours 5 and 8
Thus, the correct answer was option C.
the dot plot shows the mass, in grams, of several substances in an experiment. How many substances has their mass recorded during the experiment?
Answer:
the answer would be 13
Step-by-step explanation:
The dot plot showed that 13 substances had their mass recorded during the experiment
What is a graph?A graph is used to provide a pictorial representation or diagram so as to represents data in an orderly way. Examples of graphs are histogram, box plot, pie chart, dot plot.
A Dot Plot is used to provide a graphical display of data using dots.
From the dot plot:
Number of substances = 4 + 1 + 2 + 2 + 4 = 13
The dot plot showed that 13 substances had their mass recorded during the experiment
Find out more on graph at: https://brainly.com/question/14323743
A, B and C are the vertices of a triangle.
A has coordinates (4, 6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.
Answer:
Step-by-step explanation:
2/4=0.5
BC gradient is 2
AB (3,2)
AC (1,1)
DE gradient is 1/2=0.5
same gradients
parallel line have the same gradients
DE=0.5
BC=0.5
D has coordinate (3,2) and E has coordinate (1,1)
Gradient of DE = (2 - 1)/(3 - 1) = 0.5
Gradient of BC = (-2 - -4)/(3 - 1) = 0.5
BC and DE have the same gradient so they are parallel.
To prove that DE is parallel to BC, we need to show that their slopes are equal. Let's start with finding the midpoints D and E:
Midpoint D: The coordinates of D are the averages of the coordinates of A and B.A = (4, 6)B = (2, -2)D = ((4+2)/2 , (6+(-2))/2) => (3, 2)Midpoint E: The coordinates of E are the averages of the coordinates of A and C.A = (4, 6)C = (-2, -4)E = ( ( 4 + (-2) )/2 = ( 6 + (-4) ) /2) = (1, 1)Step-by-step explanation:Slope of BC: The slope of line BC is calculated as follows:(y2 - y1) / (x2 - x1) = (-4 - (-2)) / (-2 - 2) = (-4 + 2) / (-4) = -2 / -4 = 1/2Slope of DE: The slope of line DE is calculated as follows:(y2 - y1) / (x2 - x1) = (1 - 2) / (1 - 3) = (-1) / (-2) = 1/2Since the slope of DE is equal to the slope of BC (both are 1/2), we can conclude that DE is parallel to BC.What is the missing number that makes the number sentence true
20+ ( ?) x 14 )-12 =50
Answer:
Missing number is 3.
Step-by-step explanation:
20+(?)x14)-12=50
8+14?=50
14?=50-8
14?=42
?=3
Answer:
The missing number is 3
Step-by-step explanation:
Let the missing number be y
20 + (y × 14) - 12 = 50
Opening the brackets;
20 + 14y - 12 = 50
14y = 50 + 12 - 20
14y = 42
y = [tex]\frac{42}{14}[/tex] = 3
Trenton is building a skateboarding ramp in the shape of a triangular prism. According to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. The riding surface would measure 2.5 feet. If Trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?
Answer:
The answer is 21 square feet of plywood.
Step-by-step explanation:
Answer:
Trenton needs 21 square feet of plywood to cover all the surface of the ramp.Step-by-step explanation:
Givens
Base is 2 feet long.Height is 1.5 feet long.Length is 3 feet long.The riding surface is 2.5 feet long.Notice that the ramp is formed by two triangles and three rectangles.
Each triangle has a base of 2 feet and a height of 1.5 feet. So, the area of each triangle is
[tex]A_{triangle}=\frac{bh}{2}=\frac{2(1.5)}{2}=1.5ft^{2}[/tex]
The base of the ramp has dimensions of 3 feet x 2 feet. Its are is
[tex]A_{base}=3(2)=6ft^{2}[/tex]
The back of the ram has an area of
[tex]A_{back}=1.5(3)=4.5 ft^{2}[/tex]
The riding surface is
[tex]A_{riding}=3(2.5)= 7.5ft^{2}[/tex]
So, basically, to know the total surface, we just have to sum the are of both triangles, and the area of all three rectangles, as follows
[tex]S=1.5+1.5+6+4.5+7.5=21ft^{2}[/tex]
This means that Trenton needs 21 square feet of plywood to cover all the surface of the ramp.
How does a natural monopoly function?
A: imperfect competition makes it difficult for firms to do business.
B: a few firms are in perfect competition.
C: the government supplies all buyers with the product
D: a single firm supplies all the output.
Answer:
D: a single firm supplies all the output.
Step-by-step explanation:
A natural monopoly runs most efficiently when one large firm supplies all of the output.
A natural monopoly occurs when the most efficient number of firms in the industry is one. As the name suggests, monopoly means single. We can also say that it is a market structure characterized by a single seller, selling a unique product in the market.
A natural monopoly functions by having a single firm supply all output in a specific market, typically due to economies of scale. This usually occurs in markets where having multiple firms would be inefficient and costly, such as utilities. Government usually regulates these to protect consumers.
Explanation:A natural monopoly functions in a manner where a single firm supplies all the output in a particular market. This is typically because this single firm can produce the total output in the market at a lower cost compared to several firms due to economies of scale. For example, in the utilities industry (like water or electricity), it would be highly inefficient and costly to have multiple firms deliver these services. Therefore, a single firm, or a 'natural monopoly', can provide these services at a lower cost.
The government often regulates natural monopolies to prevent abuse of monopoly power. This is done to ensure fair prices and adequate supply to consumers.
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Find the lateral area and surface area of a regular triangular prism with base edge 7 cm, a base height 6.1 cm and prism height of 11 cm. Round to the nearest tenth.
Lateral Area: 288 cm
Total Surface Area: 331 cm
the population of Linton is 12 times as great as the population of Ellmore. the combined population of both towns is 9,646 people. what is the population of Linton?
Answer:
8904
Step-y-step explanation:
Answer:
The population of Linton is 8,904.
Step-by-step explanation:
To start out, they give you a ratio of 12:1, adding all the parts to get a whole would make this ratio 13:1.
Now, since the whole is 13, this means that 13 = 9,646 people.
Next we want to divide 9,646 by 13, this gives us 742.
X = 742
12x = 12 * 742 = 8,904
if the tax rate is 6% ,find the tax on a 429.95 television to the nearest cent
Answer:
25.80
Step-by-step explanation:
The tax is equal to the original price times the tax rate
tax = 429.95 * 6%
Change to decimal form
429.95 *.06
25.797
Rounding to the nearest cent
25.80
The tax is 25.80
Which statements correctly describe the association between the variables A and B?
Select each correct answer.
no association
negative association
positive association
linear association
nonlinear association
Answer:
Negative Association
Step-by-step explanation:
Answer:
B) negative association
D) linear association
Step-by-step explanation:
We are given a scatter plot which represents the relationship between the variable A and the variable B.
As you can see the values of the variable A increase, the values of the variable B decrease.
It is clearly shows the negative trend.
Also we can see the points not deviated much, the points looks to form a linear association.
So there must be two statements which associates with this scatter plot.
B) negative association
D) linear association
3. In a set of points that Milton scored in basketball games, there is an outlier.
Before one game, Milton injured his knee. Do you think the outlier is greater
or less than the rest of the numbers of points? Explain.
Answer:
Less - He wouldn't be able to score as many points.
Hope this helps you out!
HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.
Step-by-step explanation:
Step 1: Additive inverse
Step 2: Additive identity
Step 3: Addition property of equality
22 is D
Answer:
21)
step 1 = Additive inverse Step 2 = Additive identityStep 3 = Addition property of equality22)
D) h > 48~batmans wife dun dun dun....
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
Answer: Option D
Step-by-step explanation:
Add 4x² to both sides of the equation:
[tex]16x+8+4x^2=-4x^2+4x^2\\4x^2+16x+8=0[/tex]
The Quadratic formula is:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
You can identify that in this case:
[tex]a=4\\b=16\\c=8[/tex]
Substitute into the Quadratic formula:
[tex]x=\frac{-16\±\sqrt{(16)^2-4(4)(8)}}{2(4)}[/tex]
[tex]x_1=-0.58\\x_2=-3.41[/tex]
Therefore, the graph of the equation above intersect the x-axis in two points.
The answer is:
D. The parabola intercepts the x-axis in two points.
[tex]x_{1}=-0.59\\\\x_{2}=-3.41[/tex]
Why?To find the parabola intercepts, we need to use the quadratic formula. The parabola intercepts with the x-axis, are also called roots or zeroes.
The quadratic formula states that:
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
We are given the parabola:
[tex]16x+8=-4x^{2} \\[/tex]
Which is also equal to:
[tex]4x^{2}+16x+8=0[/tex]
Where,
[tex]a=4\\b=16\\c=8\\[/tex]
Then, substituting into the quadratic formula to find the roots of the parabola, we have:
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\\\\x=\frac{-16+-\sqrt{(16)^{2}-4*4*8 } }{2*4}=\frac{-16+-\sqrt{(256-128) } }{8}\\\\x==\frac{-16+-\sqrt{(256-128) } }{8}=\frac{-16+-\sqrt{(28 } }{8}\\\\x=\frac{-16+-\sqrt{128 } }{8}=\frac{-16+-(11.31) }{8}\\\\\\x_{1}=\frac{-16+(11.31) }{8}=-0.59\\\\x_{1}=\frac{-16-(11.31) }{8}=-3.41[/tex]
Hence,the parabola intercepts the x-axis in two points.
[tex]x_{1}=-0.59\\\\x_{2}=-3.41[/tex]
Have a nice day!
Solve the following equation. Then place the correct number in the box provided. 5x/8 +10= 2
Answer: [tex]x=-12.8[/tex]
Step-by-step explanation:
Given the equation [tex]\frac{5x}{8}+10=2[/tex], you need to solve for "x":
Apply the Subtraction property of equality and subtract 10 from both sides of the equation:
[tex]\frac{5x}{8}+10-10=2-10[/tex]
[tex]\frac{5x}{8}=-8[/tex]
Apply the Multiplication property of equality and multiply both sides of the equation by 8:
[tex](\frac{5x}{8})(8)=-8(8)[/tex]
[tex]5x=-64[/tex]
Apply the Division property of equality and divide both sides of the equation by 5:
[tex]\frac{5x}{5}=\frac{-64}{5}[/tex]
[tex]x=-12.8[/tex]
match them together to correct answer
ANSWER
Frequency=2
Midline =3
Amplitude =5
Period =π
EXPLANATION
We have:
[tex]f(x) = 5 \cos(x) + 3[/tex]
The given function is of the form;
[tex]f(x) = a\cos(bx) + c[/tex]
where
a=|5| =5 is the amplitude
and b=2 is the frequency.
and 2π/b=2π/2=π
The range of the given function is
8≤y≤-2
The midline is
[tex] \frac{8 + - 2}{2} = \frac{6}{2} = 3[/tex]
Answer:
1. y = 3 - b. Midline
2. 2 - a. Frequency
3. 5 - c. Amplitude
4. π - d. Period
Step-by-step explanation:
We know that the standard cosine equation is in the form:
[tex] f(x) = a\cos(bx)+c [/tex]
where [tex] a [/tex] = amplitude,
[tex] b [/tex] = frequency,
[tex] c [/tex] = midline.
Therefore, for the given cosine equation:
Amplitude = 5,
Frequency = 2,
Midline = y = 3
Period = π
imagine you pour some hot soup into a bowl, and you place your hands on the outside of the bowl and the outside is warm, how did the heat from the soup through the bowl to your hands?
Answer:
conduction
Step-by-step explanation:
the process by which heat or electricity is directly transmitted through a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.
Which of the following equations fits this graph?
A. down
The -4 moves the y-intercept down from the origin to -4
Answer: Option A.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where the slope is "m" and the intersection of the line with the y-axis is "b".
Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:
[tex]m=1\\b=0[/tex]
This means that the line passes through the origin (0,0)
And from the function g(x) in the form [tex]g(x)=x-4[/tex], , you can identify that:
[tex]m=1\\b=-4[/tex]
This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-4)
Therefore, the graph of f(x) must be shifted 4 units down to produce the graph of g(x)
Please help this is confusing!!!!!
Do 5^2 first
25+ 7*3+4
Multiply 7*3=21
25+21+4
= 46+4
= 50
Answer:50 ( the second choice)
Answer:
Step-by-step explanation:
use BIDMAS to answer
5 squared is 25
7 x 3 = 21
25 + 21 + 4 = 50
your welcome
Camp Ground A has an area of 300 square yards with a maximum capacity of 25 pup tents. Camp Ground B has an area of 480 square yards and requires that each of its pup tents occupies the same area as each pup tent in Camp Ground A. What is the maximum number of pup tents that can occupy Camp Ground B? In two or more sentences, explain your calculations and conclusions.
Answer:
40 pup tents
Step-by-step explanation:
Since Ground A has area 300 and maximum capacity is 25 tents, so each tent would take up area of 300/25 = 12 sq yards.
Since Ground B's tents should occupy same area as Ground A's tents (12 sq. yards), the maximum capacity of this tent (480 sq yd) would be:
480/12 = 40 pup tents
This is the maximum capacity.
(2x+5y-z)+(-6x-4y+7z)
Answer:
-4x + y + 6z
Step-by-step explanation:
2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)
2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer
2x - 6x = -4x
5y - 4y = y
-z + 7z = 6z
our new expression is:
-4x + y + 6z we cannot simplify this any further, so this is our answer
PLEASE HELP!
What is AD?
A. 15
B. 12
C. 3
D. 20
Answer:
A. 15
Step-by-step explanation:
To solve this you need to compare the lengths given to you in the question statement.
Because the lines originate from a single point, they're like triangles. We can easily see a triangle AGF and a triangle ADE, right?
Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.
They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.
So, A F = 16, A E = 20 (16 + 4), A G = 12.
Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:
[tex]\frac{A D}{A G} = \frac{A E}{A F}[/tex]
So, A D = (A G * A E)/A F
A D = (12 * 20) / 16 = 15
Please help and thank you
Through my understanding of the question I think the correct answers would be A and D.
hope this helps
In the equation 4x+5y=20 what is the y value that solves the equation when x=5? Show your work
Answer:
4(5)+5y=20 20+5y=20 then subtract the 20 with other 20= 0
5y/5=0/5 y=0
Step-by-step explanation:
ANSWER
y=0
EXPLANATION
The given equation is
4x+5y=20
We want to find the y value that solves the equation when x=5.
We substitute x=5 into the given equation and solve for y.
4(5)+5y=20
20+5y=20
5y=20-20
5y=0
y=0
please help........
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=36\pi \end{cases}\implies 36\pi =\cfrac{4\pi r^3}{3}\implies 108\pi =4\pi r^3 \\\\\\ \cfrac{108\pi }{4\pi }=r^3\implies 27=r^3\implies \sqrt[3]{27}=r\implies \boxed{3=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies SA=4\pi \left( \boxed{3} \right)^2\implies SA=4\pi (9)\implies SA=36\pi[/tex]
Which number line represents the solution set for the inWhich number line represents the solution set for the inequality –x ≥ 4?equality –x ≥ 4?
Final answer:
The solution set for the inequality –x ≥ 4 is x ≤ – 4, which includes all numbers less than or equal to – 4. This would be represented on a number line with a solid dot at – 4 and shading to the left.
Explanation:
The question pertains to solving the inequality –x ≥ 4 and representing the solution on a number line. To solve for x, we first multiply both sides by – 1, remembering to reverse the inequality sign since multiplying or dividing by a negative number reverses the inequality:
–x ≥ 4
( – 1)( –x) ≤ ( – 1)(4)
x ≤ – 4
This means that x is less than or equal to – 4. On the number line, the solution set for x includes all numbers to the left of – 4, including – 4 itself. To represent this graphically, one would draw a solid dot at – 4 and shade all the region to the left of – 4, indicating all those numbers are included in the solution set.
there are 2 green marble, 4 blue marbles, 1 red marble, and 8 yellow marbles in a bag. once a marble is drawn, it is not replaced. find the probability of the outcome.
1. two yellow marbles in a row
2. a blue marble then a green marble
Answer:
1.
Step-by-step explanation:
1. There will be 4 rows of 2 because 8 divided by 2 is 4
2. 1 blue, 1 green, 1 blue, 1 green, 1 blue, 1 blue
This problem is not true, because to make it a pattern it would have to be 2 green marbles and 3 blue marbles.
Hope this helps
Please tell me if I got anything wrong.
Answer:
4/105
Step-by-step explanation:
just took the test
Drag each tile to the correct box. Arrange these bank balances from highest debt to lowest debt. Liz -$22 Kevin -$42 Paul -$10 Henry -$32 Jenny -$28 Sean -$20 Kelly -$3
Answer:
Kevin-$42, Henry-$32,Jenny -$28, Liz -$22, Sean -$20, Paul -$10, Kelly -$3
Answer:
kevin, henry, jenny, liz, sean, paul, kelly
Step-by-step explanation:
i did the pretest and got it right!
9 inches of ribbons are needed for wrapping each present. How many presents can be wrapped with 6 yards of ribbons?
Answer:
24 presents.
Step-by-step explanation:
First I did 36 multiplied by 6 and got 216. Then i divided 216 by 9 and got 24.
Answer: with 6 yards of ribbons we can wrap 24 presents.
Step-by-step explanation:
For each 9 inches of ribbons, we can wrap one present, then if we have 6 yards we have:
1 yard = 36 inches
then 6 yards is equal to 6*36 inches = 216 inches
now, in how many pieces of 9 inches we can divide the 216 inches?
this is:
N = 216/9 = 24
for each one of those 24 pieces of 9 inches we can wrap a present, this means that with 6 yards of ribbons we can wrap 24 presents.