Answer:
0.2992 = 29.92% probability of obtaining at least 8 failures.
Step-by-step explanation:
For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A success is 5 or 6.
A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:
[tex]p = \frac{4}{6} = 0.6667[/tex]
10 normal six sided dice are thrown.
This means that [tex]n = 10[/tex]
Find the probability of obtaining at least 8 failures.
This is:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951[/tex]
[tex]P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867[/tex]
[tex]P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174[/tex]
Then
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992[/tex]
0.2992 = 29.92% probability of obtaining at least 8 failures.
The theater club is charging $20 for 3 tickets. What is the rate of change in this situation?
Answer:
20/3
Step-by-step explanation:
The Other guy is wrong, this is the correct answer from Plato
The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.
In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.
Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3
Answer:
20/3 I mean imI'm doing it rn and..... the plug
Step-by-step explanation:
Which multiplication equation is false?
A) (-a)*(-1)=(-a)
B) (-a)*0=0
C) (-a)*1=(-a)
D) (-a)*b=b*(-a)
Answer:
A is wrong
Step-by-step explanation:
Answer:
A(-a)*(-1)=(-a)
Step-by-step explanation:
Anything multiplied by 0 is 0. Therefore, option B is correct.
Option A is wrong because when multiplying two negatives you should get a positive not a negative.
Anything multiplied by 0 is 0. Therefore, option B is correct
Option C is correct because a negative times a positive gives a positive.
Option D is correct because you can't solve for different times being multiplied you can only combine like terms therefore your answer will equal the same result here.
The sides of a number cube are labeled 1 through 6.
Suppose you toss the cube 600 times. About how many times
would you expect the cube to land on 1?
Answer:
100 times for 1
Step-by-step explanation:
If the cube is a fair one, you would expect it to land on each number about 1/6 of the time. Since 1 is one of the faces, you would expect to land on it 1/6 of the time.
(1/6)*600=100
So any number should land 100 times
Which of the following determines a plane?
Answer:
Answer B
3 non collinear point
Choose an equation of a line through the point (-4, -2) parallel to y=14x−3.
An equation of the line through the point (-4, -2) parallel to y = 14x - 3 is 14x - y = 54.
To find an equation of a line through the point (-4, -2) that is parallel to the line y = 14x - 3, we can use the fact that parallel lines have the same slope.
The given line y = 14x - 3 is in slope-intercept form, y = mx + b,
where m represents the slope.
In this case, the slope is 14.
Since the desired line is parallel to the given line, it will also have a slope of 14.
Therefore, the equation of the line can be written as:
y - y1 = m(x - x1),
where (x1, y1) represents the coordinates of the given point (-4, -2), and m represents the slope.
Substituting the values into the equation, we have:
y - (-2) = 14(x - (-4)).
Simplifying this equation gives:
y + 2 = 14(x + 4).
Expanding the right side of the equation:
y + 2 = 14x + 56.
Finally, rearranging the equation to the standard form, we have:
14x - y = 54.
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HELLLLLP 20 character rule
Answer:
m= -6
Step-by-step explanation:
:]
helppppppppppppppppppppppppp
Answer:
C
Step-by-step explanation:
11 times 11 = 121
11 times 12 equals 132
11 times 13 = 143
Answer:
13
Step-by-step explanation:
11x13 is 143 heidnehf
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Step-by-step explanation:
First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle
in ΔDEF we have 180 -68 -81 = 31°
in ΔABC we have 180 -68 -33 = 79°
the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.
A line passes through (-3, -1) and is parallel to the graph of y= 2x +3. What equation represents the
line in slope-intercept form?
PLEASE HELPPP
Answer:
y = 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, so
y = 2x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = 2x + 5 ← equation of parallel line
The Equation of line is y = 2x + 5.
What is slope of a line?The ratio of a line's change in y coordinate to its change in x coordinate is known as its slope.
Both the net change in the x-coordinate is Δx and the net change in the y-coordinate are represented by Δy.
Given Equation
y = 2x + 3
and line passes through (-3, -1)
equation of line is given by,
y =mx + c
where m is slope, given equation is parallel to graph the value of slope is equal for both
m = 2 from given equation
new equation is y = 2x + c
substitute values of x and y
-1 = 2(-3) + c
c = -1 + 6
c = 5
Equation of line is y = 2x + 5
Therefore the equation represents,
the line in slope-intercept form is y = 2x + 5
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The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that the team wins 1)more than half of the number of matches played
Answer:
The probability is 32/81
Step-by-step explanation:
We know that:
The probability that the team wins is p = 2/3
Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3
The team plays 4 matches.
We want to find the probability that the team wins 1 more than half of the number of matches played.
So if there are 4 matches, the half is 2 matches
one more than half is then 3 matches.
Let's assume that the team wins the first 3 matches, and does not win the last match.
match one, the team wins with prob: P₁ = 2/3
match two, the team wins with prob: P₂ = 2/3
match three, the team wins with prob: P₃ = 2/3
match four, the team wins with prob: P₄ = 1/3
The joint probability is the product of all the individual probabilities:
P = (2/3)*(2/3)*(2/3)*(1/3)
Now we must also considerate the permutations, we have the cases:
the team does not win the fourth match
the team does not win the third match
the team does not win the second match
the team does not win the first match
So we have just four permutations, then the total probability is:
probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)
Six oranges in a bag of 30 oranges are bad. Express the number of bad oranges as a fraction in its lowest terms
Answer:
1
5
is the answer
Step-by-step explanation:
hope it helps you!
Name the marked angle in 2 different ways.
Answer:
∠XWV ∠UWV
Hope this helps! :)
please help with this math problem
Answer:
The rate of change is 3.5
Step-by-step explanation:
Really? Like this is easy.
I'LL MARK FIRST CORRECT ANSWER BRAINLIEST !!!
Faith makes greeting cards with colored paper. She plans to make 15 of the cards out of red paper. She has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a color other than red?
a. 5
b. 20
d. 25
c. 125
ps: any incorrect, irrelevant, plagiarized, or absurd, will be reported! sorry for the inconvenience !
verify that :- 5/8x(7/9-11/6)=(5/8x7/9)-(5/8x11/6)
please answer
The spinner depicted is a fair spinner. The spinner is least likely to land on which number?
A 1
B 2
C 3
D It is impossible to tell.
Answer:
d
Step-by-step explanation:
it is impossible to tell since no numbers were given nor signs were offered to help us know whether we are dealing with additon , subtraction , multiplication or division
What are the five key points that you need to find for any given set of numbers in order to draw a Box plot for the data. Write the answer. Help
The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.
2x-√x(1-2x) =1
x+√4-x² =2
Answer:
or, 2x-x^2+2x^2=1
or,2x+x^2=1
or,x^2+2x-1=0
or,x^2+x+x-1=0
or,x(x+1)+1(x-1)=0
or,(x+1)(x-1)=0
therefore x=(-1,+1)
A cafe stores ice cream in a large hemisphere-shaped bowl with a diameter of 36 cm.
The ice cream has a density of 0.87 g/cm3.
The cafe sells the ice cream for £2.10 for a portion of 160 g.
If the bowl is filled to the top, what is the maximum amount of money the cafe can make by selling whole portions of ice cream?
Answer:
1115.8
Step-by-step explanation:
Given m||n, find the value of x.
Answer:
x = 15
Step-by-step explanation:
The two angles add to a straight line, so they add to 180
6x-5 + 6x+5 = 180
Combine like terms
12x = 180
Divide by 12
12x/12 =180/12
x =15
Answer:
x = 15
Step-by-step explanation:
Two angles are supplementary and their sum is 180
6x + 5 + 6x - 5 = 180 add like terms
12x = 180 divide both sides by 12
x = 15
Please help me this is due in 5 mins!!!
Answer: Perimeter: 28 units
Area: 32 square units
Step-by-step explanation:
Answer:
Perimeter = 24
Area =32
Step-by-step explanation:
To find the perimeter, add up the number of outside edges
4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units
To find the area, count the number of boxes in each row
4 + 4+ 8+8+4+4 = 32 units^2
Polygon ABCD is a parallelogram, and m∠ABC = 127°. The length of is 10 units, and the length of is 5 units.
The perimeter of the parallelogram is
units, and m∠BCD is
°
Please help will give brainiest. Find the length x of the shelf
Answer:
11
Step-by-step explanation:
15-12=3
so
x-8=3
x=11
Answer:
22.5 in.
Step-by-step explanation:
Both triangles have 110º so that means they are equal.
12x15=180 inches
180 ÷ 8 = 22.5So, X=22.5 inches
George is bringing granola bars and apples for his classmates at school. Apples cost $0.75 each, and granola bars cost $0.15 each. George will bring 60 total items to school and spend a total of $21.00. Which system of equations best represents how to find the number of apples, A, and the number of granola bars, G
Answer:
60
Step-by-step explanation:
The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00
The number of apples is 20 and the number of granola bars is 40.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
George will bring 60 total items to school
Let, George will bring 'x' apples.
Therefore, he will bring (60 - x) granola bars.
Given, apples cost $0.75 each, and granola bars cost $0.15 each.
Therefore, cost of all apples is $0.75x.
Cost of all granola bars is:
= $(60 - x) × 0.15
= $(9 - 0.15x)
The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00
Now, [0.75x + (9 - 0.15x)] = 21.00
⇒ [0.75x - 0.15x] = 21.00 - 9
⇒ 0.6x = 12.00
⇒ x = (12.00 ÷ 0.6)
⇒ x = 20
Therefore, the number of apples George will bring to school is 20.
Now, the number of granola bars George will bring to school is (60 - 20) = 40.
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Why is making a record of withdrawals and deposits in your checkbook register a good practice?
Answer:
it helps you balance your checkbook
Step-by-step explanation:
Balancing your checkbook means that you do a check in your account that shows how much money is available.
I hope it helps❤️
Which of the following is NOT an example of a contract?
lease
credit card
borrowing lunch money
rental
The two lines shown below are perpendicular. If the slope of the red line is 4,
what is the slope of the green line? Use a slash mark (/) as a fraction bar if
necessary.
D was 4
Answer:
C
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Given the slope of the red line is 4 , then the slope of the green line is
m = - [tex]\frac{1}{4}[/tex] → C
The slope of the green line is C (m = -1/4 )
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
We are Given a line with slope m then the slope of a line perpendicular to it is m
m (perpendicular) = -1/m
Given the slope of the red line is 4 , then the slope of the green line is;
m = -1/4
Therefore the slope of the green line m = -1/4.
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What is the range of the function on the graph?
у
5
all real numbers
3
2
all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
1
1
-5 -4 -3 -2 -11 + 1 2 3 4 5 X
-2-
-3
4+
Answer:
D. all real numbers greater than or equal to 2
Step-by-step explanation:
Range values consists of all possible set of y-value plotted on the vertical axis. So, we are looking at the y-values on the y-axis (vertical axis).
The line starts at 2 on the y-axis. The shaded "o" means that 2 is included or the range of the function is 2 or above.
Thus, this means that:
the range of the function of the graph are "all real numbers greater than or equal to 2."
The Range of the function are all real numbers greater than or equal to 2
Range of a functionThe Range of a function is the output values or values of the dependent variable of a function.
Since the y - axis represents the dependent variable, the Range of the function is the values of y given from the graph. The values of y given from the graph range from and include 2 to ∞. The value 2 is included since it is shaded.
So, the Range of the function are all real numbers greater than or equal to 2
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solve the system below by substitution. write the solution as a coordinate pair.
5x - y = 19
y = 2x - 1
if 2x + 3y = 12 and xy = 6, find the value of 8x^3 + 27y^3
Answer:
The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.
Step-by-step explanation:
Let be the following system of equations:
[tex]2\cdot x + 3\cdot y = 12[/tex] (1)
[tex]x\cdot y = 6[/tex] (2)
Then, we solve both for [tex]x[/tex] and [tex]y[/tex]:
From (1):
[tex]2\cdot x + 3\cdot y = 12[/tex]
[tex]2\cdot x = 12- 3\cdot y[/tex]
[tex]x = 6 - \frac{3}{2}\cdot y[/tex]
(1) in (2):
[tex]\left(6-\frac{3}{2}\cdot y \right)\cdot y = 6[/tex]
[tex]6\cdot y-\frac{3}{2}\cdot y^{2} = 6[/tex]
[tex]\frac{3}{2}\cdot y^{2}-6\cdot y + 6 = 0[/tex]
The roots of the polynomial are determined by the Quadratic Formula:
[tex]y_{1} = y_{2} = 2[/tex]
By (1):
[tex]x = 6 - \frac{3}{2}\cdot (2)[/tex]
[tex]x = 3[/tex]
If we know that [tex]x = 3[/tex] and [tex]y = 2[/tex], then the final value is:
[tex]z = 8\cdot x^{3}+27\cdot y^{3}[/tex]
[tex]z = 8\cdot 3^{3}+27\cdot 2^{3}[/tex]
[tex]z = 432[/tex]
The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.