A) The experimental probabilities are:
R = 0.45, B = 0.4, and Y = 0.15
From this, we can expect to get a red ball on the next draw.
B) This can happen because the experimental probabilities are bad estimations, or because the balls on the machine are not replaced.
How to get the experimental probability?
A) The probability of getting each color will be given by the quotient of the number of balls of that color and the total number of balls.
For example, we know that 100 people buy gumballs, and 45 of them got red ones, so the experimental probability of getting a red gumball is:
R = 45/100 = 0.45
40 got a blue ball, so the probability of getting a blue ball is:
B = 40/100 = 0.4
15 got a yellow gumball, so the probability here is:
Y = 15/100 = 0.15
As you can see, the experimental probability of getting a red gumball is 3 times the probability of getting a yellow one. based on that, we can expect that the next gumball out from that machine will be red.
B) So now 10 more people go to the machine, and they get:
7 yellow, 1 red, and 2 blue gumballs.
This clearly does not follow the experimental probability we got above, why this may happen?
There are two main reasons.
First, to get a valuable experimental probability an experiment must be performed a lot of times, 100 is a ratter a small number. So the experimental probability that we got on point A may be a really bad estimation.
On another hand, there is a possibility that the gumballs in the machine are not being replaced. So initially, there is a fixed number of red, yellow, and blue balls.
This would mean that if we remove one red ball on the first try. Then for the next try, the probability of getting a red ball will be smaller (because now the machine has fewer red balls).
Then, because out of the 100 first balls most were red or blue, we can assume that most of the remaining balls on the machine are now yellow, and then the probability of getting a yellow ball is increased.
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can anyone help ?????
Answer:
a), b) and c) are correct.
d) 12g^4h^5
Step-by-step explanation:
Find the value of x.
5x (x+24)
Answer:
5x^2+120x
Step-by-step explanation:
5x(x+24)
Step 1: Use distributive property to expand the expression. Multiply 5x separately with all the terms inside the bracket.
Step 2: 5x(x) = 5x^2
5x(24) = 120x
Answer: 5x^2+120x
Note: If you need to further solve it, you can factor it.
To Factor;
5x^2+120x
Step 1: Factor out the common: 5x
Step 2: 5x times x = x^2
5x times 24 = 120x
Therefore,
Factored answer: 5x(x+24)
Hope this helps.
Answer:x=6
Step-by-step explanation:
5x(x+24)=0
5x = x +24
5x - x = x - x + 24
4x = 24
X = 24/4
X = 6
i need help on this i don't understand
Answer: Approximately 8.5 units
Step-by-step explanation:
Substitute M(2, -2) and N(8, 4) for the coordinates in the distance formula and solve for d
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
[tex]d = \sqrt {\left( {8-2 } \right)^2 + \left( {4-(-2)} \right)^2 }[/tex]
[tex]d = \sqrt {\left( {6 } \right)^2 + \left( {6} \right)^2 }[/tex]
[tex]d = \sqrt {\left( {36 } \right) + \left( {36} \right) }[/tex]
[tex]d = \sqrt {72}[/tex]
[tex]d \approx 8.5\hspace2 units[/tex]
Therefore the length of [tex]\overline{MN}[/tex] is approximately 8.5 units
Use distributive property to factor method 1. Use distributive property to expand method 2.
Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
Price is $79.99 sales tax is 5.5% what is the total cost
Answer:
$84.38
Step-by-step explanation:
i did 5.5% of 79.99=4.39
79.99+4.39=84.38
HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1
Answer:
The blue and yellow macaw is 33 inches long.
Step-by-step explanation:
If the toucan is 22 inches long and it's two thirds the length of the macaw you can divide by two to find what one third is.
22 ÷ 2 = 11
So then you have to multiply by 3 to find what the full length is.
3 x 11 = 33 inches
Hope that helps and have a great day!
Answer:
33 inStep-by-step explanation:
Let the length of the macaw be xThe length of the toucan is 22 inThen we have equation
x*2/3 = 22x = 22 ÷ 2/3x = 22*3/2x = 33 inBlue-and-yellow macaw is 33 in long
What is the equation of the following line written in slope-intercept form? x-intercept of 2
1.y = 2
2.x=2
3.x = -2
Answer:
The correct answer is x=2
Step-by-step explanation:
The equation of the given line written in slope-intercept form is y=x-2.
From the given figure, x-intercept of 2.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Here, slope is 0
Substitute (x, y)=(2, 0) and m=1 in y=mx+c, we get
0=1(2)+c
c=-2
Put m=1 and c=-2 in y=mx+c, we get
y=x(1)-2
⇒y=x-2
Therefore, the equation of the given line written in slope-intercept form is y=x-2.
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A golf ball was hit and modeled by
-16x2 + 11x + 6 = 0
When will the golf ball hit the ground?
Round to the nearest hundreths
By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.
What is the quadratic formula?
The quadratic formula is a formula that gives the solutions of a quadratic equation in the form [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are constants and x is the variable. The formula is:
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a
This formula can be used to find the values of x that satisfy the quadratic equation.
To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation [tex]-16x^2 + 11x + 6 = 0[/tex] using the quadratic formula:
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a
where a = -16, b = 11, and c = 6. Substituting these values, we get:
x = (-11 ± [tex]\sqrt{11^2 - 4(-16)(6)}[/tex] ) / 2(-16)
x = (-11 ± [tex]\sqrt{361}[/tex])/ (-32)
Simplifying this expression, we get:
x = (-11 ± 19) / (-32)
So the two possible values of x are:
x = 8/16 = 0.5 and x = 30/16 = 1.88
Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).
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In 2021, Carla was making $15 per hour and worked 20 hours per week for 25
weeks. How many Social Security credits did she earn?
Answer:
Approximately 42 credits
Step-by-step explanation:
First you need to find the amount she makes for one week. Multiply 15 by 20: $375.00
Second find how much she makes for those 25 weeks: 375*25: 65,625
Third according to socialsecurityintelligence.com, in 2021, one credit for each $1,470 of earnings. To a maximum of 4 credit per year.
So for a year she earned 4 credits but not considering the limit, she earned 42.85 credits.
Can anyone answer this?
To say that two or more angles are equal, we draw a little arc. If there are two arcs then it means that the angle with also two arcs marked is equal in measure, and so on
--> so:
∠A ≅ ∠Y
∠B ≅ ∠Z
∠C ≅ ∠X
To say that two more sides are equal, we draw a little tic mark. If there are two tics then it means that the sides with also two tics marked are equal in length, and so on.
--> so:
AB ≅ YZ
AC ≅ YX
BC ≅ ZX
And thus ΔACB ≅ ΔYXZ <-- we got this by matching corresponding angles of equal length
Hope it helps!
the GCF of 44 and 20
11. Tom works at an aquarium, he is asked to clean the coral reef tank. The function
graphed below represents the amount of water in gallons, y, of a the tank after x, hours.
y
225
Word Bank.
200
175
Slope, linear, quadratic,
exponential, y = mx +b, y =
ax²+bx+c, y-intercept, x-
intercept.
150
Water (gallons)
125
100
75
50
25
o
0 1 2 3 4 5 6 7 8
Time (hours)
The graph represents a
function. In which the equation is
The
feature of the graph shows the point at which
the tank ends its draining. The
shows the initial amount of water in
the tank before cleaning which is
The
is negative which shows
the amount of water being drained over the number of hours.
The graph represents a linear function. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the amount of water in gallon after x hours.
The y intercept is (0, 175), hence b = 175.
The line passes through (0, 175) and (7, 0), hence::
Slope = (0 - 175) / (7 - 0) = -25
The equation is y = -25x + 175
The graph represents a linear function in which the equation is linear. The linear feature of the graph shows the point at which the tank ends its draining. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.
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I WILL GIVE BRAINLEST.Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? Use words, pictures, and an equation to explain your thinking.
Answer:
4/5 brownies for each person.
Step-by-step explanation:
4 brownies between 5 people equals 4/5, or 4 divided by 5.
10 pts. for whoever solves this!
Answer:
x = 4
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divide the opposite side into segments that are proportional to the other two sides, that is
[tex]\frac{x}{x+4}[/tex] = [tex]\frac{x+6}{2x+12}[/tex] = [tex]\frac{x+6}{2(x+6)}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = x + 4 ( subtract x from both sides )
x = 4
Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.
Answer: The answer is 3211000 :^
Step-by-step explanation: hope this helps
Lenny has a job that pays $8 per hour plus tips (t). Lenny worked for 4 hours Monday and made $65 in all. Which equation could be used to find t, the amount Lenny made in tips?
Answer:
t= 33
Step-by-step explanation:
4(8) +t = 65
32+t=65
t=33
Hope this helps!
Step-by-step explanation:
T = hourly pay (8$)
Y = hours worked
T • Y = 32
65-32 = 33$ in tips
88-BC43) Bacteria in a certain culture increase at a rate proportional to the number present. If the number of bacteria doubles in three hours, in how many hours will the number of bacteria triple
Answer:
You times them, its easy.
Step-by-step explanation:
1 times 2 times 3, it will multiply in 6 hours
Me podrian ayudar con ese ejercisio por favor?? Me salvarian 4. Dadas las sucesiones de término general an = n + 3 y bn = 5n − 1 , realiza las siguientes operaciones: a) an – bn b) an + 3bn 5. Escribe los ocho primeros términos de la sucesión ( an ) dada por: a1 = 1, a2 = 1, an = an−1 + an−2
Explicación paso a paso:
Dado
an = n + 3
bn = 5n-1
a) an-bn = n + 3- (5n-1)
= n + 3-5n + 1
= n-5n + 3 + 1
= -4n + 4
an-bn = 4-4n
b) an + 3bn = (n + 3) +3 (5n-1)
= n + 3 + 3 (5n) +3 (-1)
= n + 3 + 15n-3
= n + 15n + 3-3
= 16n + 0
= 16n
an + 3bn = 16n
3) Dado a1 = 1, a2 = 1
an = an-1 + an-2
Debemos escribir los primeros ocho términos de la secuencia.
a3 = a3-1 + a3-2
a3 = a2 + a1
a3 = 1 + 1
a3 = 2
a4 = a3 + a2
a4 = 2 + 1
a4 = 3
a5 = a4 + a3
a5 = 3 + 2
a5 = 5
a6 = a5 + a4
a6 = 5 + 3
a6 = 8
a7 = a6-a5
a7 = 8 + 5
a7 = 13
a8 = a7 + a6
a8 = 13 + 8
a8 = 21
Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21
WILL GIVE BRAINLIEST!!!
(06.02 MC)
A scatter plot with a line is shown:
Which statement is most likely correct about the line? (5 points)
It can be a line of best fit because it passes through all the data points
It can be a line of best fit because it is close to most data points
it cannot be a line of best fit because it does not pass through all the points.
it cannot be a line of best fit because it does not pass through the first and last points
Answer: The answer is B:)))
Step-by-step explanation:
It can be the line of best fit because it is close to most data points.
Who ever gets it I will give 20 points and Brainly.
Answer:
104?
Step-by-step explanation:
pretty sure that's it 3x2 =6 10x11=110 but your painting around the window which it 6 ft so take 6 away and boom 104!
Answer:
104 ft²
Step-by-step explanation:
Given :-
Dimensions of wall = 10 x 11Dimensions of window = 2 x 3To Find :-
Area to be PaintedSolving :-
Area (painted) = Area (wall) - Area (window)Area (painted) = 10 x 11 - 2 x 3110 - 6104 ft²Choose two numbers which absolute value of 5 1/2
Answer:
11/2,5.5
Step-by-step explanation:
Let f(x) = -2x +49 and g(x) = -4x + 3. Find
(fºg)(-5).
Answer:
3 i think
Step-by-step explanation:
so we substitute -5 to g(x)
g(x) = -4(-5) + 3
= 20 + 3
= 23
now we substitute it to f(x)
f(x) = -2x + 49
= -2(23) + 49
= -46 + 49
= 3
Answer:
3
Step-by-step explanation:
f(x) = -2x + 49
g(x) = -4x + 3
(fºg)(x) = f(g(x)) = -2(-4x + 3) + 49
(fºg)(x) = 8x - 6 + 49
(fºg)(x) = 8x + 43
(fºg)(-5) = 8(-5) + 43
(fºg)(-5) = 3
.
The first term of a sequence is 2, the third term is 18, and the fifth term is 162. What is
the second term of the sequence?
Answer:
[tex]a_2=6[/tex]
Step-by-step explanation:
Geometric sequence general formula: [tex]a_n=ar^{n-1}[/tex]
Given:
[tex]a_1=2[/tex][tex]a_3=18[/tex][tex]a_5=162[/tex]Therefore,
[tex]a_1=2 \implies a=2[/tex]
[tex]a_3=2 \cdot r^2=18[/tex]
[tex]a_5=2 \cdot r^4=162[/tex]
To find common ratio r, divide 5th and 3rd terms:
[tex]\dfrac{a_5}{a_3}=\dfrac{2 \cdot r^4}{2 \cdot r^2}=\dfrac{162}{18}[/tex]
[tex]\implies r^2=9[/tex]
[tex]\implies r=\sqrt{9}=3[/tex]
Therefore, geometric sequence formula: [tex]a_n=2 \cdot 9^{n-1}[/tex]
So second term of sequence:
[tex]\implies a_2=2 \cdot 3^{2-1}=6[/tex]
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
ou are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, determine which store would cost less after all discounts, taxes, and shipping fees have been applied.
Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stero 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD
There is not enough information given.
It would cost less to purchase the items from the physical store.
It would cost less to purchase the items from the online store.
Answer:
It would be cheaper to use the online store
Step-by-step explanation:
the physical store added up to $129.04 and the online store was $128.82.
It would cost less to purchase the items from the physical store.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
To calculate the total cost for each store, we need to take into account the discounts, taxes, and shipping fees.
For the physical store:
Batteries: 2 packs x $5.99/pack = $11.98
Stereo: 1 system x $100.00/system = $100.00
CDs: 3 CDs x $7.95/CD = $23.85
Subtotal: $135.83
After the 10% discount: $135.83 - 10% = $122.25
Sales tax: $122.25 x 5% = $6.11
Total cost: $122.25 + $6.11 = $128.36
For the online store:
Batteries: 2 packs x $4.99/pack = $9.98
Stereo: 1 system x $90.00/system = $90.00
CDs: 3 CDs x $8.95/CD = $26.85
Subtotal: $126.83
After the $5.00 discount: $126.83 - $5.00 = $121.83
Shipping fee: $6.99
Total cost: $121.83 + $6.99 = $128.82
Therefore, it would cost less to purchase the items from the physical store.
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Find the area of the shape. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal. PLSS HELP!
[tex] \alpha = \frac{3\pi}{4} r {}^{2}[/tex]
[tex] \alpha = \frac{3 \times 3.14}{4} \times (2) {}^{2} [/tex]
[tex] \alpha = 9.42[/tex]
Normally the area would be given by a=πr², but since we have three quarters of a circle, we can just say a=3π/4 (r)²Area=3π if you want it in radians :)
HEEEEELLLLPP
What is the measure of <6
5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12
Step-by-step explanation:
sper ca team ajutat
Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and 45° are vertically opposite angles and are congruent , so
∠ 6 = 45°
Are the ratios 1:2 and 9:18 equivalent?
Answer:
Yes! Because they are in proportion: 1x9 = 9, 2x9 = 18 therefore, 1:2 and 9:18 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number. Hope this helped!
Step-by-step explanation:
If you need further help, let me know!
- profparis
Is there any trinomial antonyms.
whats 3x+27=39 will mark brainliest
Answer:
x=4
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+39=3x+27 i think your welcome :)
Solve the Pythagorean theorem for a, assuming a, b, and c are positive. a^2+b^2=c^2
A. a=c^2+b^2
B. a=c+b
C. a=√c^2-b^2
D. a=c-b
it should be c because the puthagorean theorem is c^2=a^2+b^2 so subtract b^2 to the other side to keep a by itself and then sqare root both sides to get ride of the square on the a