C.
Because the marble is not replaced and that affects the next event where another marble is chosen.
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
Now,
A. Rolling an odd number, and then rolling an even number.
This is an independent event.
B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.
This is an independent event.
C. You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
D. You roll a 4 and then spin yellow on a spinner.
This is an independent event.
Thus,
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
Learn more about probability here:
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find answer is fast friends
Answer:
see explanation
Step-by-step explanation:
The restriction a ≠ 0 and b ≠ 0 is applied since division by zero would make
[tex]\frac{a}{b}[/tex] and its reciprocal [tex]\frac{b}{a}[/tex] undefined, thus meaningless
Find the product of all positive divisors of 288.
Answer:
The answer is 1.514571894×10^21.
Step-by-step explanation:
Here, the divisors of 288 are,
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288.
now, their product =1×2×3×4×6×8×9×12×16×18×24×32×36×48×72×96×144×288
=1.514571894×10^21.
is answer.
Hope it helps...
Answer:
Step-by-step explanation:
2 * 3 * 4 * 6 * 8 * 9 * 12 * 16* 18 * 24 * 32 * 36 * 48 * 96 * 144
Some teachers would include 288. I would not.
You can get the actual answer by using the calculator that came with your computer. An ordinary calculator will not work because the answer will come out in scientific notation.
657,366,253,849,018,368 is the answer.
You are fencing a rectangular puppy kennel with 25 ft of fence. The side of the kennel against your house does not need a fence. This side is 9 ft long. Find the dimensions of the kennel.
Answer:
9 by 8 ft
Step-by-step explanation:
if you subtract the 9 ft for the side opposite your house you are left with 16. divide 16 by 2 for the sides sticking out from your house. the answer is 8 so the cage would be 9ft by 8ft
The graphed line shown below is y=-3x+6...Which equation, when graphed with the given equation, will form a system that has no solution?
Answer:
The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.
Step-by-step explanation:
hope this helps!
Answer: 2 or B
Step-by-step explanation:
Use the given sample data to construct the indicated confidence interval for the population mean. The principal randomly selected six students to take an aptitude test. Their scores were: 71.6 81.0 88.9 80.4 78.1 72.0 Determine a 90% confidence interval for the mean score for all students. Group of answer choices
Answer:
The 90% confidence interval
(74.71, 82.63)
Step-by-step explanation:
Confidence Interval Formula is given as:
Confidence Interval = μ ± z (σ/√n)
Where
μ = mean score
z = z score
N = number of the population
σ = standard deviation
The mean is calculated as = The average of their scores
N = 6 students
(71.6 + 81.0 + 88.9 + 80.4 + 78.1 + 72.0 )/ 6
Mean score = 472/6
= 78.666666667
≈ 78.67
We are given a confidence interval of 90% therefore the
z score = 1.645
Standard Deviation for the scores =
s=(x -σ)²/ n - 1 =(71.6 - 78.67)²+(81.0 - 78.67)²+(88.9 - 78.67)² + (80.4 - 78.67)²+ (78.1 - 78.67)²+( 72.0 - 78.67)2/ 6 - 1
= 5.886047531
= 5.89
The confidence interval is calculated as
= μ ± z (σ/√N)
= 78.67 ± 1.645(5.89/√6)
= 78.67 ± 3.9555380987
The 90% confidence interval
is :
78.67 + 3.9555380987 = 82.625538099
78.67 - 3.9555380987 = 74.714619013
Therefore, the confidence interval is approximately between
(74.71, 82.63)
Marci has taken out a loan of $5,000 for a term of 24 months (2 years) at an interest rate of 8.5%. Use the amortization table provided to
complete the statement.
Monthly Payment per $1,000 of Principal
Rate | 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $59.35 $23.71 $19.57
7.0% $86.53 $44.77 $31.88 $23.95 $19.80
7.5% $86.76 $45.00 $51.71 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
Marci's monthly payment will be $
and her total finance charge over the course of the loan will be $
Answer:
$227.30$455.20Step-by-step explanation:
The table tells you that Marci's monthly payment on a 2-year loan at 8.5% will be $45.46 on each $1000 borrowed. For her $5000 loan, her monthly payment will be 5 times the table value, or ...
monthly payment = $5000/$1000 × $45.46
monthly payment = $227.30
__
Her total of 24 payments will be ...
total repaid = 24 × $227.30 = $5,445.20
That amount is $445.20 more than the amount borrowed, so that is Marci's finance charge.
__
Marci's monthly payment will be $227.30, and her total finance charge will be $455.20.
80 people took a driving test. 70 of them passed the test. What percentage failed the test?
Answer:
12.5% failed
Step-by-step explanation:
Convert the fraction 10 out of 80 into a decimal to become the percentage
Answer: 87.5% failed driving test is 12.5%
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
second one
Step-by-step explanation:
The function g has this expression g(x) = ax²+c
to have a minimum a should be positive since the parabola will open upTo find when g reaches it's minimum we must derivate it
g(x) = ax²+cg'(x) = 2axsolve g'(x) = 0
g'(x) = 02ax = 0ax = 0x = 0replace x with 0 in g(x)
g(0) = a(0)²+c
g(0) = c
the maximum of f(x) is 1 so for g(x) to have a grather minimum c should be greather than 1
the second statement is true
The box plots show the high temperatures in January and March for Denmark in degrees Fahrenheit. Box plots titled Average Daily Temperatures in Denver in March and January with horizontal axis labeled temperature in degrees fahrenheit ranges from 45 to 80. March box plot with minimum approximately at 55 and maximum approximately at 75, its interquartile range is approximately between 60 and 70, and the median is between 60 and 65. January box plot is with minimum approximately 55 and maximum approximately at 70, its interquartile range is approximately between 57 and 65, and its median is approximately between 60 and 65. Which can you tell about the mean temperatures for these two months? The mean temperature for March is higher than January's mean. The low median for January pulls the mean temperature below March's mean temperature. There is not enough information to determine the mean temperatures. The high range for March pulls the mean temperature equal to January's mean temperature.
Answer:
The mean temperature for March is higher than January's mean.
Step-by-step explanation:
I took the test. trust me and you will be set free ;D
The life of a Radio Shack record player is normally distributed with a mean of 3 years and a standard deviation of 1 years. Radio Shack guarantees its record players for 2 years.
The life of a Radio Shack record player is normally distributed with a mean of 3 years and a standard deviation of 1 years. Radio Shack guarantees its record players for 2 years.
Find the probability that a record player will last less than 2 years?
Answer:
the probability that a record player will last less than 2 years is 0.1586
Step-by-step explanation:
Given that:
A mean which is normally distributed = 3
and a standard deviation = 1
The objective is to find that a record player will last less than 2 years
Let X be the random variable
i.e
[tex]P(X<2) = P( \dfrac{X - \mu}{\sigma}<\dfrac{X - \mu}{\sigma})[/tex]
[tex]P(X<2) = P( \dfrac{2 - \mu}{\sigma}<\dfrac{2 - 3}{1})[/tex]
[tex]P(X<2) = P( Z< \dfrac{-1}{1})[/tex]
[tex]P(X<2) = P( Z< -1)[/tex]
From the standard normal tables :
[tex]P(X<2) = 1- P( Z< 1)[/tex]
[tex]P(X<2) = 1- 0.8414[/tex]
P(X < 2) = 0.1586
Therefore; the probability that a record player will last less than 2 years is 0.1586
If 2x = 60, find the value of 6 - 7x
Answer:
- 204
Step-by-step explanation:
2x = 60
x = 30
6 - 7(30) = -204
Answer:
-204
Step-by-step explanation:
Step 1- Solve for the value of x
2x = 60
Divide 60 by 2 so x is by its self
x = 30
Step 2- Plug in 30 for x in the second equation
6 - 7(30)
6 - 210
-204 is the answer
Devi’s mother is three times as old as Devi. Five years ago, Devi’s mother was four times as old as Devi was then. Find their present ages
Answer:
Devi's present age = 15 years
Devi's Mother's present age = 45 years
Step-by-step explanation:
Let the present age of Devi be x years.
Therefore, mother's present age = 3x
Five years ago:
Devi's age = (x - 5) years
Mother's age =( 3x - 5) years
According to the given condition:
Five years ago:
Devi's mother's age = 4 times Devi's age
3x - 5 = 4( x - 5)
3x - 5 = 4x - 20
20 - 5 = 4x - 3x
15 = x
x = 15 years
3x = 3* 15 = 45 years
Hence,
Devi's present age = 15 years
Devi's Mother's present age = 45 years
how to do this question plz answer
Answer:
(a) See net below
(b) 38 cm^2
Step-by-step explanation:
(a) see completed net below.
It's like a pizza box when finishd.
Fold the two sides (left, right, 1*3) up.
Fold the bottom part added up to form a side.
Fold the very bottom rectangle to form the top face.
(b) Total surface area
= top and bottom faces of 12 cm^2 each+ 2 sides of 3 cm^2 + 2 sides of 4 cm^2 each
= 2*12 + 2*3 + 2*4
= 24 + 6 + 8
= 38 cm^2
Which graph represents the function f(x)=|x−3|+1 ?
Answer:
the first one (in quadrant 1, pointing upwards)
Step-by-step explanation:
since the function is positive the graph will be facing upwards and start off at 1
Lea's car travels an average of 303030 miles per gallon of gas. If she spent \$20.70$20.70dollar sign, 20, point, 70 on gas for a 172.5172.5172, point, 5 mile trip, what was the approximate cost of gas in dollars per gallon? Choose 1 answer: \$1.45
The question was not written properly above.
Complete Question :
Lea's car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for 172.5 mile trip, what was the approximate cost of gas in dollars per gallon?
Answer:
$3.6
Step-by-step explanation:
From the above question, we have the following information:
For
30 miles = 1 gallon of gas
We are also told she travelled,
$20.70 on gas for 172.5 miles
Step 1
Find how many gallons of gas was issued in the 172.5 miles
30 miles = 1 gallon of gas
172.5 miles = y
Cross multiply
30 × y = 172.5 miles × 1
y = 172.5 miles/30
y = 5.75 gallons
Therefore, for 172.5 miles she used 5.75 gallons of gas
Step 2
For step 2 we find the approximate cost of gas in dollars per gallon
$20.70 = 172.5 miles = 5.75 gallons of gas
Hence,
5.75 gallons of gas = $20.70
1 gallon of gas = $X
Cross Multiply
5.75 gallons × $X = $20.70 × 1 gallon
$X = $20.70 × 1 gallon/ 5.75 gallons
$X = $3.6
X = $3.6
Therefore, the approximate cost of gas in dollars per gallon = $3.6
Please answer this in two minutes
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Inverse Trigonometry Function.
So here, we get as
SinX = 1/2
X = Sin^-1(1/2)
X= 30°
help please .........
Answer:
30.045
Step-by-step explanation:
the length of rectangle=140 which is also the diameter of circle
R=d/2=140/2=70 ( which is the width of rectangle)
perimeter of rectangle=2l+2w=140+280=420
perimeter of semicircle=πr+d=70π+140=359.911
the difference between two perimeter
(perimeter of rectangle- perimeter of semi circle) =
420-359.911=60.089
since only one shaded area :
60.089/2=30.0445 close to 30.045
The height of a cylinder is one more than three times the radius doubled.
Which expression represents the volume of the cylinder in cubic units?
Answer:
6πx³ + 2πx²
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h.
1. Plugin the values into the formula
π2x² · (3x + 1)
2. Distribute 2πx² to (3x + 1)
6πx³ + 2πx²
A wise old owl climbed up a tree whose height was exactly ninety plus three. Every day the owl climbed up 18 and every night climbed down 15. On what day did the owl reach the top of the tree?
Answer:
He reached the top of the tree on the 31st day
Step-by-step explanation:
The total distance for the owl to climb is 93 units.
If the owl climbed 18 units up the tree every day without coming down, the owl would have taken 93/18 days to reach the top of the tree.
However, the owl descends by 15 units every night. This just reduces the overall distance covered at the end of each day's climb.
The net distance covered by the owl after each day is 18-15 units = 3 units of climb. This is the steady distance the owl gains up the three at the end of each day after the ascent and descent.
The time taken for the climb moving at this pace of 3 units per day will be
93 units / 3 units per day = 31 days
Which of the following is the function of f(x)?
Answer:
f(x) = 8(x-3)
Step-by-step explanation:
F^ -1 ( x) = x/8 +3
Let y = x/8+3
To find the inverse
Exchange x and y
x = y/8+3
Solve for y
x-3 = y/8+3-3
x-3 = y/8
Multiply each side by 8
8(x-3) = y/8 * 8
8(x-3) = y
The inverse of the inverse is the function so
f(x) = 8(x-3)
Answer:
[tex]\boxed{f(x) = 8(x-3)}[/tex]
Step-by-step explanation:
[tex]y=\frac{x}{8} +3[/tex]
Switch variables.
[tex]x=\frac{y}{8} +3[/tex]
Make y as subject.
Subtract 3 from both sides.
[tex]x-3=\frac{y}{8}[/tex]
Multiply both sides by 8.
[tex]8(x-3)=y[/tex]
Shelley and David have a sweet tooth. Shelley spent \$2.65 for 15 sour keys and 2 chocolate bars. David bought 3 chocolate bars and 10 sour keys for \$3.35 at the same store. Find the cost of each chocolate bar and each sour key at this store. If you need 8 chocolate bars and 24 sour keys to give to friends coming to your birthday party, how much will they cost you at this store?
Answer:
Chocolate bars: $0.95 each
Sour keys: $0.05 each
Total cost for 8 chocolate bars and 24 sour keys: $8.80
Step-by-step explanation:
sour keys=x
chocolate bars=y
15x+2y=2.65
10x+3y=3.35
multiply the second equation by 1.5
15x+4.5y=5.025
2.5y=2.375
y=0.95
Chocolate bars are $0.95 each.
Now substitute the y value in one of the equations
15x+2(0.95)=2.65
15x+1.9=2.65
15x=0.75
x=0.05
Sour keys are $0.05 each.
For the second part of the question, just multiply the number of chocolate bars by the cost and same thing with the sour keys and add them.
Final answer: $8.80
Your math teacher caught you text messaging in class, again, so the teacher is making you give a presentation to your math class next week. Your assignment is to analyze the scatter plot that shows people's ages and the number of text messages sent in a day. In 3-5 sentences, explain what you see in the scatter plot below.
Answer: If a scatterplot is included in the assignment
The dots plotted on the graph might closely follow the graph of exponential decline. There is a large number of texts per day by 19-20-21 year-olds, but the number seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.
Step-by-step explanation: Look at some graphs of exponential decay. Also consider harmonic and hyperbolic decay. The trend in the data is evident. The main challenge is to look at the data and create an equation that models it.
HELP ME PLLEEEEASE I BEG
(1) 4p²q : 10pq²
(2) 9 months : 2/½ years
(3) 5 m : 600 cm
I need answers asap, thanks!! <3
Answer: (1) 2p: 5q.
(2) 3:10.
(3) 5:6.
Step-by-step explanation:
To find : Ratio
(1) 4p²q : 10pq²
[tex]=\dfrac{4p^2q}{10pq^2}\\\\=\dfrac{2p^{2-1}}{5q^{2-1}}\\\\=\dfrac{2p}{5q}[/tex]
i.e. Simplified ratio of 4p²q : 10pq² is 2p: 5q.
(2) 9 months : 2½ years
1 year = 12 months
[tex]2\dfrac{1}{2}\text{years}=\dfrac{5}{2}\text{years}\\\\=\dfrac{5}{2}\times12=30\text{ months}[/tex]
Now, 9 months : 2½ years = [tex]\dfrac{9\text{ months}}{30\text{ months}}=\dfrac{3}{10}[/tex]
Hence, Simplified ratio of 9 months : 2½ years is 3:10.
(3) 5 m : 600 cm
1 m = 100 cm
So, 5m = 500 cm
Now, 5 m : 600 cm = [tex]\dfrac{500\ cm}{600\ cm}=\dfrac{5}{6}[/tex]
Hence, Simplified ratio of 5 m : 600 cm is 5:6.
The pentagon ABCDE is dilated to the image A'B'C'D'E' with the center of the dilation at the origin.
Select all true statements
The scale factor of the dilation is 1/4
The line EA is parallel to the E’A’ because EA passes through the center of the dilation
Since the line C’D’ falls on the line CD, the scale factor is. It applied on the line CD
The scale factor of the dilation is 1/2
The line CD is not parallel to the line C’D’ because CD passes through the center of the dilation
Now I’m no genius but I‘m pretty sure the answers are “c” and “d”
Ya’ll have a good day or night, whichever one!
The true statement for the Pentagon in the given graph is
The scale factor of the dilation is 1/2 with the center at the origin(0,0).
Dilation:Dilation implies resize of any object.
It may increase or decrease the object by a particular value.The particular value is called the scale factor. Properties of Dilation of figure:Parallel lines in the dilated figure remain the same as in the original figure.The dilation of any figure does not vary from each angle of the figure.The midpoints of the dilated figure remain the same as that of the original figure.True statement:The scale factor of the dilation of the pentagon is 1/2.
Reason:The pentagon with vertices A(0.5,4.5), B(2,3), C(1,0), D(-2,0), E(-3,3) when multiplied by 1/2 we get The vertices of the dilated pentagon as A'(0.25,2.25), B'(1,1.5), C'(0.5,0), D'(-1,0), E(-1.5,1.5). When we plot the points A'B'C'D'E' in the graph, obtain the dilated pentagon with a center at the origin. Wrong statement with Reasons:The scale factor of the dilation is not 1/4 because when we multiply the vertices of pentagon ABCDE by 1/4 we are not getting the dilated points as in the graph.The line EA is parallel to E'A' but,1. The line EA does not passes through the center of the dilation
at origin(0,0), which can be clearly seen from the given graph.
2. For two lines to be parallel it is not necessary for one of the
lines to pass through the origin.
The line C'D' is parallel to CD as we should see the figure in a 3-dimensional way and it also follows the properties of dilation of a figure.Hence the scale factor of the given pentagon is 1/2.
To learn more about the Dilation of polygons:
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plz help asap, thank you
Answer:
57
Step-by-step explanation:
The answer is 57 because if angle 4 is 123 and angle 4 is equal to angle 3 then angle 3 is also 123. Then you would subtract 180 - 123 which is equal to 57.
Answer:
TKL is 57°
Step-by-step explanation:
since angle 3 is equal to angle 4 and angle 4 equals 123°, then angle 3 is 123°
subtract 123 from 180 then you get 57
ada is conducting an experiment to determine the boiling point of salt water. she fills two identical pots of water with equal amounts of water. in one pot, she adds salt. she then puts the pots of water over a flame and records the temperature for each pot of water when it begins to boil. what is the treatment?
Answer:
HYPOTHESIS
Step-by-step explanation:
What the correct answer now fast
Answer:
104 are your answer and decimal intergers 31 mm are not don't this answer
NEED HELP ASAP!!! I GIVE GOOD POINTS
Answer:
70
Step-by-step explanation:
What the answer question
its b the answer is b
Answer:
the answer on the B
Step-by-step explanation: