Answer: the answer is 5xy^3
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.
Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.
To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.
To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.
Each package contained 12 pencils.
Hope this helps
In a 20 item true-false examination, if 12 correct answers constitute a passing grade,
what is the probability that someone will pass, if they are guessing?
A. .8398
B. .2517
C. .1201
D. .1317
Answer:
The answer is B, I know this because I just took a test with this question lol
If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.
What is meant by probability?Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring. Probability = the number of possible paths to success. The total number of possibilities For example, the probability of flipping a coin and getting heads is 12, because there is only one way to get a head and there are two possible outcomes.Therefore,
Let X denote the number of correctly answered questions out of a total of 20.
Bernoulli trails are formed by repeated coin tosses. Because the "head" on a coin represents the correct answer and the "tail" represents the incorrect answer, the questions that are correctly answered are Bernoulli trials.
[tex]$&\therefore \mathrm{p}=\frac{1}{2} \\[/tex]
[tex]&\therefore \mathrm{q}=1-\mathrm{p}=1-\frac{1}{2}=\frac{1}{2}[/tex]
X follows a binomial distribution with n = 20 and p = 1/2
[tex]&\therefore P(X=x)={ }^n C_x q^{n-x} p^x \\[/tex]
[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20-x} \cdot\left(\frac{1}{2}\right)^x \\[/tex]
[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20}[/tex]
P ( at least 12 questions answered correctly )= P (X ≥ 12)
[tex]&=\mathrm{P}(\mathrm{X}=12)+\mathrm{P}[/tex][tex](\mathrm{X}=13)+\ldots+\mathrm{P}(\mathrm{X}=20) \\[/tex]
[tex]&={ }^{20} \mathrm{C}_{12}\left(\frac{1}{2}\right)^{20}+{ }^{20}[/tex][tex]\mathrm{C}_{13}\left(\frac{1}{2}\right)^{20}+\ldots+{ }^{20}[/tex][tex]\mathrm{C}_{20}\left(\frac{1}{2}\right)^{20} \\[/tex]
[tex]&=\left(\frac{1}{2}\right)^{20} \cdot\left[{ }^{20} \mathrm{C}_{12}+{ }^{20} \mathrm{C}_{13}+\ldots+{ }^{20} \mathrm{C}_{20}\right][/tex]
Hence, If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.
The complete question is:
In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.
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There are 16 boys and 20 girls in a class. What part of the class is boys? What part girls?
Answer:
girls 4/9 or (Decimal: 0.444444) percent is 44.4%
boys 5/9 or (Decimal: 0.555556) percent is 55.5%
For f(x) = −2x + 12, find f(x) when x = −3.
Answer:
f(-3)= 18
Step-by-step explanation:
step 1: sub -3 in the equation f(x).
f(x)= -2x+12
f(-3)= -2×-3+12
step2: simplify to solve for f(-3).
=6+12
=18
2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56
Answer: subtraction property of equality
Step-by-step explanation:
is this correct or not
Answer:
yes it is u did a good job
0.16
As a repeating fraction
Answer:
What are you asking for?
Step-by-step explanation:
I'll answer again i just need to know more srry lo
On a family road trip, Mr. Peters travels 130
miles in 2 hours. At this rate, how many miles
will he travel in 7 hours?
Write each prime factorization using exponents.
1. 2×2×2×7
2. 2×3×3
3. 7×7×7×7
Measures of the missing numbered angles
Answer:
23
Step-by-step explanation:
Calculate the vertices
(x+3, y + 1)
Answer:
A' (4,4), B' (5,7), C' (9,7)
Step-by-step explanation:
Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute
Answer:
.2 inches a min.
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
6 divided by 120 = 0.05
Hope this helps☺️
What is the solution to this equation?
8x - 5(x-3) = 18
O A. x = 7
O B. x= 11
O C. x = 5
O D. x= 1
Answer:
D x = 1
Step-by-step explanation:
Solve the literal equation xy - 4xz = 5 for x.
X=
Answer:
x = 5/(-4 z + y)
Step-by-step explanation:
Solve for x:
x y - 4 x z = 5
Hint: | Write the linear polynomial on the left-hand side in standard form.
Collect in terms of x:
x (-4 z + y) = 5
Hint: | Solve for x.
Divide both sides by -4 z + y:
Answer: x = 5/(-4 z + y)
For the function f(x)=ab^x, what are the possible values for b if the function is an exponential growth function? Please select two answers.
A) 1-0.00001
B) 0.9
C) square root of 2
D) 1/2
E) 1.1
Answer:
C and E
Step-by-step explanation:
the b value of an exponential function needs to be greater than one to be exponential growth
[tex] \sqrt{2} [/tex]
and 1.1 are the only 2 that are greater than one
The possible values for b are those that are greater than 1. The correct answers are square root of and 1.1, the correct options are C and E.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
We are given that;
f(x)=ab^x
Now,
An exponential growth function is a function that increases as x increases. For the function f(x) = ab^x, this means that the base b must be greater than 1, so that the exponent x makes the function larger.
Therefore, by the exponential growth and decay the answer will be square root of 2 and 1.1
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Un comerciante tiene en cartera una letra de 14000 con vencimiento a 2 años y le somete a un descuento bancario 1 año y 8 meses antes de su vencimiento a una taza de 14%anual con capitalización trimestral ¿cuanto recibira el propetario de la letra ?
Answer:
dud
Step-by-step explanation:
fjfn
kgoipyx
vbjjkkkkkkjjjjhcblxkcjl
-7+8
what is negative 7 plus 8?
Answer:
1
Step-by-step explanation:
You could have just used a calculator tard lol
Answer:
1
Step-by-step explanation:
-7 +8=1 cause you have 1 positive left over
A taxi cab in Myrtle Beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12 how far will the cab travel?
Answer:
5 miles
Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5
What is f(3)?
o 9
0 -1
O 1
O 9
Answer:
C.
Step-by-step explanation:
f(3) is referring to 3 on the left side and it is beside 1 which is on the left so it's 1.
Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?
Answer: The answer is 11/12 problems
Step-by-step explanation:
You add 2/12 + 9/12 which gives you a result of 11/12
The grandpapa car traffic function is shown check although following statements are true of the function
Classify the following triangle. Check all that apply.
A. Right
B. Isosceles
C. Obtuse
D. Acute
E. Equilateral
F. Scalene
Answer:
is there a chart to this question?
because I can't tell the answer just by looking at it
Step-by-step explanation:
it's a b c d and f are all the correct answers
Tyrone did’t do the dishes what lie would Tyrone use ?
Answer:
lol how are you gonna lie? the person asking will see the dirty dishes.
Step-by-step explanation:
Answer:
Sorry i didnt really hear what you said i was kind of in a rush.
we ran out of soap
I had a really important assignment that i need to do right away
I had a headache
I threw up
Step-by-step explanation:
Evalute each expression for s=4 and t=8
1) (s+t)^3
2) s^4+t^2+5/2
3) (st)^2/(st^2)
Answer:
1) 1728
2)322.5
3)4
............
Combine Like Terms. -13x + 14a - 12x + 7x - 4x *
Answer:
4a - 22x
Step-by-step explanation:
-13x +14a - 12x + 7x - 4x = 4a - 22x
hope this helps :)
Graph the line that passes through the coordinates below and determine which statement is true.
(2,3) (3,4.5) (4,6) (6,9)
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
Answer:
the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Step-by-step explanation:
A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.
Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Answer:
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.
Step-by-step explanation:
You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).
Which number line shows 1/3 and its opposite
- Karan has n chocolates. He gave his younger brother 5 chocolates and distributed the remaining is
equally between his friend and himself. How many chocolate did his friend get in terms of n?
Answer:
4 chocolates
Step-by-step explanation:
n-c
brother-5n
5n-n=4
=4
Find the area, in square units, of ABC plotted below.
A(0,7)
B(7,-2)
D(2, -3)
C(-3,-4)
The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The coordinates of the points A, B, C, and D in the given figure are:
A(0, 7)B( 7,-2)C(-3, -4)D(2, -3)Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.
Thus, we get:
Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]
Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]
If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.
Thus, as we know know that:
Height's measurement of ABC = |AD|= [tex]\sqrt{130} \: \rm units[/tex]Base length of ABC = |BC| = [tex]\sqrt{136} \: \rm units[/tex]Thus, the area of the triangle ABC is:
[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]
Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
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An ordered pair that satisfies all the equations in a linear system of equations is called a(n) __________ of the linear system.
Answer:solution
Step-by-step explanation:
An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.
A linear function is a function that has a positive relationship between its variables.
Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.
Mathematically, the graph of a linear function is a straight-line and its slope is always constant.
On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.
Generally, a system of linear equations in two variables must have at least two solution.
In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.
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