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:
https://brainly.com/question/14099682
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Colin has a pad with x pieces of paper on it. For his first class, he wrote on 5 fewer than half of the pieces of paper in the pad. He used 2 more sheets in his second class than in his first. How many sheets are left for his third class? ill give brainliest to the first answer
Answer:
Colin has 8 sheets left for his third class.
Step-by-step explanation:
Given that:
Total Number of pieces of papers = [tex]x[/tex]
Number of pieces of papers used for 1st class = 5 fewer than half of the pieces in the pad
Writing the equation:
[tex]\text{Number of pieces of papers used for 1st class =} \dfrac{x}{2} -5 ...... (1)[/tex]
Also, Given that number of pieces of papers used for the 2nd class are 2 more than that of papers used in the 1st class.
[tex]\text{Number of pieces of papers used for 2nd class =} \dfrac{x}{2} -5+2 = \dfrac{x}2 -3 ...... (2)[/tex]
Now, number of pieces of papers left for the third class = Total number of pieces of papers in the pad - Number of pieces of papers used in the first class - Number of pieces of papers used in the first class
[tex]\text{number of pieces of papers left for the third class = }x-(\dfrac{x}{2}-5)-(\dfrac{x}{2}-3)\\\Rightarrow x-\dfrac{x}2-\dfrac{x}2+5+3\\\Rightarrow x-x+5+3\\\Rightarrow 8[/tex]
So, the answer is:
Colin has 8 sheets left for his third class.
find the reciprocal of.
Answer:
a) 3/1 that is 3
b) 8/7
c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3
therefore the reciprocal is 3/8
d) 1/5
e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6
therefore the reciprocal is 6/37.
plz mark my ans as branlliest and like it upvote it
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Answer:
a. [tex]3[/tex]
b. [tex] \frac{8}{7} [/tex]
c. [tex] \frac{3}{8} [/tex]
d. [tex] \frac{1}{5} [/tex]
e. [tex] \frac{6}{37} [/tex]
Step-by-step explanation:
a. [tex] \frac{1}{3} [/tex]
Just flip the fraction , you will get:
[tex] = \frac{3}{1} [/tex]
[tex] = 3[/tex]
b. [tex] \frac{7}{8} [/tex]
flip the fraction
[tex] = \frac{8}{7} [/tex]
c. [tex]2 \frac{2}{3} [/tex]
The first thing you have to do is that convert mixed fraction into improper fraction
[tex] \frac{8}{3} [/tex]
Flip the fraction
[tex] = \frac{3}{8} [/tex]
d. [tex]5[/tex]
flip the fraction
[tex] = \frac{1}{5} [/tex]
e. [tex]6 \frac{1}{6} [/tex]
Convert mixed fraction into improper fraction
[tex] = \frac{37}{6} [/tex]
Flip the fraction in order to get reciprocal
[tex] = \frac{6}{37} [/tex]
Hope this helps...
Best regards!!
If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = [tex]\frac{1}{2}[/tex](GH + EF) = [tex]\frac{1}{2}[/tex] (90 + 45)° = 0.5 × 135° = 67.5°
Write the following phrase as an expression. "7 more than n"
Answer:
7+n
Step-by-step explanation:
More indicates that we are adding an amount to n.
So since it is 7 more, we need to add 7 to n.
Note that an expression does not include an equal sign, so we are done.
Other commonly seen phrases are:
less than -> indicates subtraction
product of -> indicates multiplication
divided by -> division
how to do this question plz answer me step by step plzz
Answer:
30, 85, 95, 150
Step-by-step explanation:
The angles of a quadrilateral add to 360
Let x be the smallest angle
x+55
x+65
x+120 are the other three angles
Add the 4 angles together and they sum to 360
x+x+55 x+65+ x+120 = 360
Combine like terms
4x+240 = 360
Subtract 240 from each side
4x+240-240 = 360 -240
4x = 120
Divide by 4
4x/4 = 120/4
x = 30
x+55= 30+55 = 85
x+65 = 30+65 = 95
x+120 = 30+120 = 150
Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.
Answer:
Step-by-step explanation:
34+23F=175
23F=175-34=141
F=141/23≈6.13
so he buys more 7 bags
Using proportions, it is found that Sergei needs to buy 7 bags.
-----------
This question is solved by proportions, using a rule of three.He has 34 kilograms of flour.He needs 175 kilograms.Thus, he needs to buy 175 - 34 = 141 kilograms.Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?1 bag - 23 kilograms
x bags - 141 kilograms
Applying cross multiplication:
[tex]23x = 141[/tex]
[tex]x = \frac{141}{23}[/tex]
[tex]x = 6.1[/tex]
Rounding up, he needs to buy 7 bags.
A similar problem is given at https://brainly.com/question/23536327
A 40 ft board is cut into two pieces so that one piece is 8 ft longer than the other piece. Find the length of the two pieces
Answer:
16 and 24 ft
Step-by-step explanation:
If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:
x + x + 8 = 40
2x + 8 = 40
2x = 32
x = 16 so x + 8 = 16 + 8 = 24.
Answer:
24 and 16
Step-by-step explanation:
x + x+8=40
2x+8=40
2x=32
x=16
16 and 24
What is 30% of 80? show two strategies for solving this problem
by both directly multiplying 0.3(80) AND setting up equivalent ratios and solving with cross products
30/100= x/80. You
must show all of your work!
Answer:
24
Step-by-step explanation:
30/100=x/80
cross multiply:
100x=2400
divide by 100:
x=24
Not quite sure how you want me to explain the other way step by step... Hope this helps!
80*.3=24
Now, you will use the inverse trig function to solve. Round to the nearest whole number. x= ∘ What trig function would we use to set up our trig function to solve for y?
Answer:
1. Cosine
2. x = 49°
3. Sine
4. y = 41°
Step-by-step explanation:
1. The trig function that will be used to solve for x is cosine.
2. Determination of angle x
x° =..?
Adjacent = 13
Hypothenus = 20
Cos x = Adjacent /Hypothenus
Cos x = 13/20
Take the inverse of Cos
x = Cos¯¹ (13/20)
x = 49°
3. The trig function that will be used to solve for y is sine.
4. Determination of angle y.
y° =..?
Opposite = 13
Hypothenus = 20
Sine y = Opposite /Hypothenus
Sine y = 13/20
Take the inverse of Sine
y = Sine¯¹ (13/20)
y = 41°
a subway train with 47 people stops at a station and picks up 20 more people at the same station p people get off. there are 52 people left on the train. which equation shows how to find the value of p
Answer:
67 - p = 52
Step-by-step explanation:
the train starts with 47 people: 47
it picks up 20 more: 47 + 20 = 67
p people get off: 67 - p
52 people are left on train: 67 - p = 52
Just for the bottom 2 please
Answer:
c is 35
d is 13
Step-by-step explanation:
I multiplied both sides, and then simplified the equation.
( plz give me brainliest, that would be most appreciated! )
Help I will mark brainliest
Answer:
A.{7}^{15}
[tex]4.7475615 {}^{12}[/tex]
Step-by-step explanation:
[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]
Hope this helps ;) ❤❤❤
248 miles per hour = x meters per second. Round to the nearest hundredth.
Answer:
110.87 m/sStep-by-step explanation:
This problem is based on unit conversion from miles per hour to meter per second.'
From tables 1 mph= 0.44704 m/s
Given 248 mph to be converted to meters per second.
hence we have
1 mph= 0.44704 m/s
248 mph= x
cross multiplying we have
x= 110.86592 m/s
to the nearest hundreth we have
110.87 m/sThe cost of a cell phone bill (C) increases when the number of text messages (T) increases. Write the correct equation for this scenario, and solve for the cost when the number of texts is 4.
Answer:
[tex]c = \frac{2}{5} t[/tex], if the number of texts is 4, then the cost is $1.60.
Step-by-step explanation:
If 2 texts costs $5, then each text costs $[tex]\frac{2}{5}[/tex].
So, we can setup the equation to [tex]c = \frac{2}{5} t[/tex].
If the number of texts is 4, we can substitute that into our equation.
[tex]c = \frac{2}{5} \cdot 4[/tex]
[tex]c = \frac{8}{5}[/tex]
[tex]c = 1.60[/tex]
Hope this helped!
HELP!
Andrea has a $25 gift card
to a art store. She buys four canvases that are each the same price. If she now has $2.20 on her gift card, what was the price of each canvas?
Answer:
$5.70
Step-by-step explanation:
1. 25.00 - 2.20 = $22.80
2. 22.80 divided by 4 = $5.70
Answer:
$5.70
Step-by-step explanation:
let the price for each canvas be $x
hence the price of 4 canvases will be $4x
It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.
Hence we can assemble an equation:
$4x + $2.20 = $25
4x + 2.2 = 25 (subtract 2.2 from both sides)
4x = 25 - 2.2
4x =22.8 (divide both sides by 4)
x = 22.8 / 4
x = 5.7
Hence each canvas cost $5.70
Please help find these angle for me plz!
Answer:
<DEF = 40°<EBF = <EDF = 56°<DCF = <DEF =40°<CAB = 84°Step-by-step explanation:
In triangle DEF, we have:
Given:
<EDF=56°
<EFD=84°
So, <DEF =180° - 56° - 84° =40° (sum of triangle angles is 180°)
____________
DE is a midsegment of triangle ACB
( since CD=DA(given)=>D is midpoint of [CD]
and BE = EA => E midpoint of [BA] )
According to midsegment Theorem,
. (DE) // (CB) "//"means parallel
. DE = CB/2 = FB =CF
___________
DEBF is a parm /parallelogram.
Proof: (DE) // (FB) [(DE) // (CB)]
AND DE = FB
Then, <EBF = <EDF = 56°
___________
DEFC is parm.
Proof: (DE) // (CF) [(DE) // (CB)]
And DE = CF
Therefore, <DCF = <DEF =40°
___________
In triangle ACB, we have:
<CAB =180 - <ACB - <ABC =180° - 40° - 56° =84° (sum of triangle angles is 180°)
[tex]HOPE \: THIS \: HELPS.. GOOD \: LUCK![/tex]
Find the product.
7xy(3x2y3)
PLEASES HELP!!! ASAP!!!
Answer:
21x³y^4
Step-by-step explanation:
7xy(3x^2y^3)=
21x³y^4
Answer:
21x^3y^4
Step-by-step explanation:
Multiply each term:
21x^3y^4
Plz mark me brainliest!!
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
[tex]\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}[/tex]
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025
what is the product number of 88 and 26?
Answer:
2288
Step-by-step explanation:
What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction StartFraction 24 Over 65 EndFraction StartFraction 64 Over 169 EndFraction StartFraction 128 Over 325 EndFraction
Answer:
StartFraction 24 Over 65 EndFraction
Step-by-step explanation:
Total number of students = 26
Number of boys = 10
Number of girls = 26-10
=16
Eduardo has to pull two names out of the hat without replacing them.
First name
Probability= Favourable outcome/Total outcome
Probability of girls=16
Total probability=26
Eduardo has to pull two names out of the hat without replacing them.
Probability= Favourable outcome/Total outcome
=16/26
=8/13
For the second name:
Without replacement of the first hat
Probability of girls=16-1=15
Total probability=26-1=25
Probability= Favourable outcome/Total outcome
=15/25
=3/5
Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5
=24/65
StartFraction 24 Over 65 EndFraction
Answer:
B.) 24/65
Step-by-step explanation:
Took the test
which expression is equivalent to 2(5)^4
Answer:
l0^4
2 (2)^4
I'm sorry if my answer is not helping
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
O A. -6
O B. -12
O C. 12
O 0.6
Answer:6 a p e x
Step-by-step explanation:
did this several times but still didn't get the answer .pls do try this :)
Answer:
x=-15/2 and x=1
x=6 and x=3/4
Step-by-step explanation:
You have the following equations:
[tex]\frac{4x-3}{x+2}=\frac{2x}{x+5}[/tex]
[tex]\frac{2}{x-2}+\frac{3}{x}-\frac{9}{x+3}[/tex]
To solve both equations you can first multiply by the m.c.m of the denominators, and then solve for x, just as follow:
first equation:
[tex][\frac{4x-3}{x+2}=\frac{2x}{x+5}](x+2)(x+5)\\\\(4x-3)(x+5)=2x(x+2)\\\\4x(x)+4x(5)-3(x)-3(5)=2x(x)+2x(2)\\\\4x^2+20x-3x-15=2x^2+4x\\\\4x^2-2x^2+20x-3x-4x-15=0\\\\2x^2+13x-15=0[/tex]
In this case you use the quadratic formula:
[tex]x_{1,2}=\frac{-13\pm \sqrt{(13)^2-4(2)(-15)}}{2(2)}\\\\x_{1,2}=\frac{-13 \pm 17}{4}\\\\x_1=-\frac{15}{2}\\\\x_2=1[/tex]
Then, for the first equation the solutions are x=-15/2 and x=1
second equation:
[tex][\frac{2}{x-2}+\frac{3}{x}=\frac{9}{x+3}]x(x-2)(x+3)\\\\2x(x+3)+3(x-2)(x+3)=9x(x-2)\\\\2x^2+6x+3(x^2+3x-2x-6)=9x^2-18x\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\2x^2+6x+3x^2+3x-18-9x^2+18x=0\\\\-4x^2+27x-18=0[/tex]
Again, you use the quadratic formula:
[tex]x_{1,2}=\frac{-27\pm \sqrt{(27)^2-4(-4)(-18)}}{2(-4)}\\\\x_{1,2}=\frac{-27\pm 21}{-8}\\\\x_1=6\\\\x_2=\frac{3}{4}[/tex]
Then, the solutions for the second equation are x=6 and x=3/4
Find the output, y, when the input, x, is 666.
Answer:
y = 8
Step-by-step explanation:
The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.
first correct answer gets best marks and it doesn't have to be long just a quick answer that's it
Answer:
see below
Step-by-step explanation:
-3.55 g≤ -28.4
Divide each side by -3.55, remembering to flip the inequality
-3.55 g/-3.55≥ -28.4/-3.55
g≥8
Closed circle at 8 and the line goes to the right
Find the equation of the circle whose center and radius are given. Center:(-2,-5) Radius=1
Answer:
( x+2)^2 + (y+5)^2 = 1
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -2)^2 + (y- -5)^2 = 1^2
( x+2)^2 + (y+5)^2 = 1
Answer:
[tex](x + 2)^{2} + (y + 5)^{2} = 1[/tex]
Step-by-step explanation:
The guy above is correct! I just finished the quiz and checked the answer key.
Find the length of AB , given A(5,-2) and B(-3,-4)
Answer:
sqrt(68) is the length.
Step-by-step explanation:
For this you will use the distance formula, sqrt((x2-x1)^2+(y2-y1)^2)
So for this it is sqrt((5+3)^2+(-2+4)^2)
sqrt(64+4)
sqrt(68)
8.246
a:b=7.2
How many times larger is a than b?
Does anyone understand this?
PLEASE HELP ASAP
Answer:
3.5 times as large
Step-by-step explanation:
The ratio can be written using a colon or a fraction bar. In the latter case, simplifying the fraction gives you your answer:
a : b = 7 : 2 = 7/2
'a' is 7/2 = 3.5 times as large as 'b'
The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, comma, 1, comma, 2, comma, 1, comma, 2 Find the mean number of children.
Answer:
The mean number of the children is 1.2
Step-by-step explanation:
Given
Children: 0, 1, 2, 1, 2
Required
Determine the Mean number
The mean of a set is calculated as follows;
[tex]Mean = \frac{\sum x}{n}[/tex]
Where x is the given set and n is the number of sets
In this case, n = 5 children
Hence;
[tex]Mean = \frac{0 + 1 + 2 + 1 + 2}{5}[/tex]
[tex]Mean = \frac{6}{5}[/tex]
[tex]Mean = 1.2[/tex]
Hence, the mean number of the children is 1.2
−2(x−7)+3(x+5)=x+9 PLEASE HELP
Answer: no solution
Step-by-step explanation:
-2(x-7)+3(x+5)=x+9
Distribute
-2x+14+3(x+5)=x+9
Distribute
-2x+14+3x+15=x+9
Combine like terms
x+29=x+9
Subtract(x)
29=9
Because 29 does not equal 9, the equation has no solutions
Hope it helps <3
Answer:
There is no solution.
Step-by-step explanation:
[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]
Distribute -2 through the parentheses
[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]
Distribute -3 through the parentheses
[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]
Collect like terms
[tex]x + 14 + 15 = x + 9[/tex]
Add the numbers
[tex]x + 29 = x + 9[/tex]
Cancel equal terms on both sides of the equation
[tex]29 = 9[/tex]
The statement is false for any value of x
x ∈ ∅
Hope this helps..
Best regards!!