The probability of getting two red chips is:
P = 1/21.
How to get the probability?
The probability of getting a red chip is equal to the quotient between the number of red chips and the total number of chips.
There are 4 blue chips and 3 red chips, for a total of 7 chips.
For the first draw, the probability of getting a red one is:
p = 3/7.
For the second draw, now there are 2 red chips and 6 chips in total, so now the probability is:
q = 2/6 = 1/3
Then the joint probability, given by the product between the two individual probabilities, is:
P = q*p = (3/7)*(1/3) = 1/21.
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The graph represents the height of a ball after being thrown versus time. Which statement is true? A. The ball attains a maximum height of 70 meters at 4 seconds. B. The ball attains a maximum height of 4 meters at 70 seconds. C. The ball attains a maximum height of 70 meters at 2 seconds. D. The ball attains a maximum height of 2 meters at 4 seconds.
The statement which is true about the thrown ball is that A. The ball attains a maximum height of 70 meters at 4 seconds
What is a Maximum Height?
This refers to the highest vertical projectile that an object can attain when acted upon by an external force.
Given the attached diagram that shows the graph of the projectile of the ball, we can observe that its maximum height before it began to fall is 70 meters at 4 seconds based on the values on the x and y-axis.
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#SPJ1your recipe calls for 2 over 3 cups of sugar. you are only making 2 over 4 of the recipe. how much sugar do you need? not simplified
The quantity of sugar required for 2/4 of the recipe is 1/3 cups
How to solve fraction?let
x = quantity of sugar neededRatio of sugar to recipe
2/3 : 1 = x : 2/4
2/3 ÷ 1 = x ÷ 2/4
2/3 × 1/1 = x × 4/2
2/3 = x × 2
2/3 = 2x
x = 2/3 ÷ 2
x = 2/3 × 1/2
= 2/6
x = 1/3 cups
Therefore, the quantity of sugar required for 2/4 of the recipe is 1/3 cups
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You play a game that requires rolling a six-sided die and then randomly choosing a colored card from a deck containing 3 red cards, 6 blue cards, and 8 yellow cards. Find the probability that you will roll a 5 on the die and then choose a red card.
The probability of getting a red card and rolling a 5 is = 3/85
How to find the probability?First, we want to find the probability of rolling a 5.
There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:
P = 1/5.
Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:
P' = 3/(3 + 6 + 8) = 3/17
The joint probability is given by the product between the individual probabilities:
prob = P*P' = (1/5)*(3/17) = 3/85
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How many years will Samsung galaxy 2 in 1 laptop last
Answer:
i think 6 years because i always used it
Step-by-step explanation:
make me my brainliest answer
x² + 10x + 3 = -21?!?!!?!?!!!?
Answer:
-6,-4
Step-by-step explanation:
if you have to evaluate its 4
and there is 2 solutions
Translate the following expression to an equation in terms of p: "151.8 is what percent of 69?"
The statement "151.8 is what percent of 69 is expressed as 0.69p = 151.8
Equations and expressionsEquations are expressions separated by an equal sign. Words can be translated to equations.
Let the unknown variable be "p". If p percent of 69is 151.8, this is expressed as;
p% of 69 = 151.8
Convert to decimals
p/100 * 69 = 151.8
0.01p * 69 = 151.8
0.69p = 151.8
Hence the statement "151.8 is what percent of 69 is expressed as 0.69p = 151.8
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need help ill be appercaited.
Step-by-step explanation:
mark me brainlist!! hope this helps
reflection across the y-axis
Answer:
A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Step-by-step explanation:
Michael Jordan scores the following points over 8 games: 24, 17, 28, 19, 23, 20, 13, 19. What is the mean (average) number of points she scored over those 8 games
Answer:
19
Step-by-step explanation:
Answer:
20.375
Step-by-step explanation:
To calculate the mean, in this situation, you first add up the game scores and divide it by the amount of games.
So, first we add 24+17+28+19+23+20+13+19 = 163
Because there are 8 games, we do 163 / 8 = 20.375
or 20.4 to 1dp
Hope this helped! If anything requires clarification, don't hesitate to ask me. I can assure you this is the right answer.
- profparis
On Monday Marcos droves 20 miles and on Thursday he drove 40 miles. How much further did Marcos drive on Thursday than on Monday?
Answer:
20 miles
Step-by-step explanation:
We are finding the difference. Take the larger number and subtract the smaller number
40-20 = 20
The difference is 20 miles
I need help please asap?!!!
Answer:
3660
Explain
3660ml×1L/100ml
= 3.66L
What are the vertical and horizontal asymptotes for the function f(x)=3^2/x^-4
O horizontal asymptote: y = -2, y = 2
vertical asymptote: x = 3
O horizontal asymptote: y = -4, y = 1
vertical asymptote: x = 3
O horizontal asymptote: y = 3
vertical asymptote: x=-4, x=1
O horizontal asymptote: y = 3
vertical asymptote: x= -2, x=2
3x²242
?
-4
The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3
Option A is the correct answer.
What are Function?Function are mathematical statement which links an independent variable to dependent variable.
It always comes with a defined domain and range.
The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is
[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-4}[/tex]
This function can also be written as
[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}[/tex]
Vertical asymptotes are defined when the denominator of a rational function tends to zero.
To find the equation/s let the denominator equal zero.
Denominator tends to zero for x = -2 and x = +2
Horizontal Asymptote is when the function f(x) is tending to zero.
for x = +∞ and x = - ∞
Let the rational function [tex]f(x)= \dfrac{mx^a}{nx^b}[/tex] where and a and b are degree of numerator and denominator.
If a < b , then the y axis y = 0 is a horizontal asymptote.
If b = a then horizontal asymptote is the line y = p/q
Here the value is b = 2 and a = 2
Since b = a the horizontal asymptote is the line
y = m/n where m = 3 and n = 1
Therefore y = 3
So , vertical asymptotes x = - 2, 2
Horizontal asymptotes y = 3
Option A is the correct answer.
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Answer:
A
Step-by-step explanation:
just took the test
I need help with this question please
The changes in Z would be = 6.1× 10^-4.
Calculation of the unknown valueZ = Sin (x³ +y³)
Where X = 0.3
y = 0.2
Z= Sin ( 0.3³ + 0.2³)
Z= Sin ( 0.027 + 0.008)
Z= Sin ( 0.035)
Z= 6.1× 10^-4
Therefore, the changes in Z would be = 6.1× 10^-4.
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Under what condition is √x > √25?
[tex]\sqrt x > \sqrt{25} \qquad( x\geq 0)\\\sqrt x > 5\\x > 25[/tex]
When [tex]x > 25[/tex].
Which of the following is equidistant from a given directrix and focus?
The term used to describe the equidistance from a given directrix and focus is: C. a locus of points called a parabola.
What is a Parabola?A parabola can be defined as a curve on a plane where any given point is at equal distance from the focus (fixed point), and from a directrix (fixed straight line).
Thus, we can conclude that what is a locus of points called a parabola is equidistant from a given directrix and focus.
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A centroid is the intersection of three
altitudes in a triangle.
perpendicular bisectors in a
triangle.
angle bisectors in a triangle.
medians in a triangle.
Answer: medians in a triangle.
The intersection of the three altitudes is the orthocenter.The intersection of the three perpendicular bisectors is the circumcenter.The intersection of the three angle bisectors is the incenter.The intersection of the three medians is the centroid.Expand and simplify: (-7y - 8) (y - 4)
To expand an expression, use FOIL method.
F - FirstMultiply the first term in each expression inside the parentheses.-7y and y are the first terms in each expression.
(-7y)(y) = -7y²
O - Outside Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)-7y is the first term in the first expression
-4 is the last term of the second expression
(-7y)(-4) = 28y
I - InsideThe next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)-8 is the last term in the first expression
y is the first term in the second expression
(-8)(y) = -8y
L - LastLast step is to multiply the last term in each expression.-8 is the last term of the first expression
-4 is the last term of the second expression
(-8)(-4) = 32
Combine all simplified terms.
-7y² + 28y - 8y + 32-7y + 20y + 32Answer:
-7y + 20y + 32Wxndy~~
93/100
Natalie needs 3 1/2 cups of flour to make 4 dozen cookies. How many.cups will she
need to make 2 dozen cookies?
7 cups
1 cup
13/4 cups
11/2 cups
Answer:
3/4 cups
Step-by-step explanation:
3 1/2 divided by 2
Which property was used to simplify the expression?
O distributive property
O commutative property
O associative property
O inverse property
4(b+2)=4b+8
The expression is
4(b+2)=4b+8See
4(b)+4(2)4b+8Its distributive property which states that
a(b+c)=ab+acOption A
Use the drawing tools to form the correct answer on the graph. Draw a point that belongs to the solution region of this system of inequalities.
#1
y>1.5^x+4Find y intercept
y>1+4y>5#2
y<2/3x+6Y intercept
y<6Both graphs attached
An point should be (1,6)
Answer:
< or > = dashed line
≤ or ≥ = solid line
< or ≤ = shade below the line
> or ≥ = shade above the line
To draw:
[tex]y < \dfrac{2}{3}x+6[/tex]
Treat as a linear equation.
Find 2 points:
[tex]x=0 \implies y=\dfrac{2}{3}(0)+6=6 \implies (0,6)[/tex]
[tex]x=3 \implies y=\dfrac{2}{3}(3)+6=8 \implies (3,8)[/tex]
Plot the 2 points and draw a dashed straight line through them.
To draw:
[tex]y > 1.5^x+4[/tex]
Treat as an exponential equation.
Find y-intercept:
[tex]x=0\implies y=1.5^0+4=5\implies (0,5)[/tex]
End behaviors:
[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]
[tex]\textsf{As } x \rightarrow - \infty, f(x) \rightarrow 4[/tex]
Draw the curve as a dashed line.
Once both lines are drawn, shade the overlapping region below the linear inequality and above the exponential inequality.
A point that belongs to the solution is any point in the shaded area,
e.g. (1, 6)
If one factor of x² + 2x - 24 is (x+6), what is the other factor?
O (x+8)
O (x-8)
O (x+4)
O(x-4)
The other factor for the given equation will be ( x - 4 ). The correct option is D.
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
The solution of the given quadratic equation will be:-
x² + 2x - 24 = ( x² + 6x -4x -24 )
= [ x( x + 6) - 4 ( x + 6 ) ]
= ( x + 6 ) ( x - 4 )
Therefore another factor for the given equation will be ( x - 4 ). The correct option is D.
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Find x. Give your answer in the simplest form.
45
Y
x = [?]
45
X
Enter the number that belongs in the green box.
Answer:
see the attachment photo!
Which of the following best describes the graph below?
54 -3 -2 -1
PINT
123 to
3
A. It is not a function.
B. It is a many-to-one function.
C. It is a function, but it is not one-to-one.
D. It is a one-to-one function.
Maurisa gets $8 per week for an allowance. She saves 25% of her allowance each week.How long will it take maurisa to save $16?
Answer:
8weeks
Step-by-step explanation:
$16÷(25/100×$8)=8
I want to learn more about mean.
What is the mean?
Numbers:
4.5, 1, 9.25, 2, 6, 9.
Charles would like to buy a new car that costs $32 000. The dealership offers to finance the car at 2.4%/a compounded monthly for five years with monthly payments. The dealer will reduce the selling price by$3000 if Charles pays cash. Charles can get a loan from his bank at 5.4%/a compounded monthly. Which is the best way to buy the car? Justify your answer with calculations.
Charles would like to buy a new car that costs $32 000. The dealership offers to finance the car at 2.4%/a, it's best for Charles loans from the bank to buy car.
Which is the best way to buy a car?Generally, the equation for the monthly loan payment is mathematically given as
[tex]R=\frac{\frac{iP}{N}}{1-(\frac{1}{N})^{NY}}[/tex]
Therefore
[tex]R=\frac{\frac{0.024*32000}{12}}{1-(\frac{0.024}{12}+1)^{-12*5}}[/tex]
R=566.51
Hence the total payment is
T=R*N*Y
T=33990.34
By taking a loan of 29000, and applying the equation
T'=33155.77
In conclusion, it is best for Charles loans from the bank to buy a car.
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Round your answer to the nearest tenth if necessary. Use 3.14 for .
A drum has a diameter of 20 inches and is 16 inches deep. Find the volume of this drum.
The volume of this drum is approximately
in³.
HELP QUICK!!!!
Answer:
[tex] \boxed{\rm \: Volume_{(Drum)} = 5024 \: in {}^{3} }[/tex]
Step-by-step explanation:
Given :
Diameter of a drum = 20 inchesDeep ( height ) of the drum = 16 inchesπ = 3.14To Find:
The volume of the drum.
Solution:
We all know that drum is cylindrical.So we'll use the formulae of the volume of cylinder,to find its volume.
[tex] \boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}[/tex]
Where,
r = radiush = height (deep)π = 3.14The value of radius ain't given,but the diameter is given.We can use the formulae of radius.
[tex] \rm \: Radius = D/2[/tex]
D = diameterSubstitute the value of diameter:
[tex] \rm \: Radius = \cfrac{20}{2} = 10[/tex]
Hence,the radius is 10.
So we could now use the formulae of the volume of cylinder:
[tex] \rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h[/tex]
π = 3.14r =10 inh = 16 in[Firstly bring the answer in terms of π then plug π = 3.14 and then simplify.]
[tex] \rm \: Volume_{(Drum)} = \pi(10) {}^{2} (16)[/tex]
[tex] \rm \: Volume_{(Drum)} =\pi100(16)[/tex]
[tex] \rm \: Volume_{(Drum)} = 1600\pi[/tex]
[tex] \rm \: Volume_{(Drum)} = 1600 \times 3.14[/tex]
[tex] \boxed{\rm \: Volume_{(Cylinder)} = 5024 \: in {}^{3}} [/tex]
Hence, we can conclude that:
The volume of this drum is 5024 in^3.
The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts at y = negative 2 in quadrant 4 and curves up into quadrant 1 and approaches y = 2.
What is the domain of the function?
x < 0
x > 0
x < 1
all real numbers
The domain of the function is x > 0.
The correct option is (B)
What is domain of function?Domain of a function is defined by the set of x-values of the graph of a function.
as, domain of a function is defined by the set of x-values of the graph of a function.
From the graph we can see that,
x-values are starts from x > 0 [Since x ≠ 0]
Also, moves towards infinity,
Hence, domain of the function be, (0, ∞) or x > 0
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Answer:
B
Step-by-step explanation:
which choices are equivalent to the expression below? check all that apply (image provided)
Answer:
D, E, and A
Step-by-step explanation:
Because 4 is also equivelent to square root of 16 and square root of 16 times square root of 3 is equal to square root of 48 which is D, and E is also correct because square root 24 x square root 2 is also square root 48 and same concept with A.
Write the geometric sequence in function notation.
Answer:
d
Step-by-step explanation: