Answer: A and D
Step-by-step explanation:
Table B : not a function the value of x=3 has two images
Table C: not a function the value of x=1 has two images
Tables A and D are functions
In a large population, 64% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal to 4 places.
Answer:
0.9940
Step-by-step explanation:
P(at least 1) = 1 − P(zero)
P(at least 1) = 1 − (1 − 0.64)⁵
P(at least 1) = 1 − (0.36)⁵
P(at least 1) = 0.9940
The probability that at least one of them has been vaccinated is 0.9939.
What is binomial distribution?
The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure. It helps to check the probability of getting “x” successes in “n” independent trials of a binomial experiment.
For the given situation,
Number of people vaccinated = 64% = 0.64
The formula of binomial distribution is
\(P(x:n,p) = nC_{x} p^x (1-p)^{n-x}\)
Here x is the number of successes, x ≤ 1
n is the number of trials, n = 5
p is the probability of a success on a single trial, p = 0.64 and
where, \(nC_{x}=\frac{n!}{x!(n-x)!}\)
The probability is \(P(X \leq 1)=1-P(X=0)\)
\(P(X=0)= 5C_{0} (0.64)^{0} (1-0.64)^{5-0}\)
⇒ \(P(X=0)= 1(1) (0.36)^{5}\)
⇒ \(P(X=0)= 0.0060\)
Thus, \(P(X \leq 1)=1-P(X=0)\\\)
⇒ \(P(X \leq 1)=1-0.0060\)
⇒ \(P(X \leq 1)=0.9939\)
Hence we can conclude that the probability that at least one of them has been vaccinated is 0.9939.
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Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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set up the systems of eqautions to solve for this quadratic function to model the values in the table
The systems of equations to solve for this quadratic function to model the values in the table is y = -2x^2 + 4x - 2
The general form of a quadratic function is --> y = ax2 + bx + c
-2 = a(0)2 + b(0) + c
-2 = 0 + 0 + c
-2 = c
substitute c value
(-1 , -8) substitute
-8 = a ( -1 )2 + b ( -1 ) - 2
-8 = a - b - 2
-6 = a - b
( 3 , -8)
-8 = a ( 3 )2 + b ( 3 ) - 2
-8 = 9a + 3b - 2
-6 = 9a + 3b
a - b = -6
9a + 3b = -6
on solving :
9 ( b - 6 ) + 3b = -6
9b - 54 + 3b = -6
12b - 54 = -6
12b = 48
b = 4
a - 4 = -6
a = -2
The quadratic equation for this table is y = -2x^2 + 4x - 2
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Full question:
set up the systems of eqautions to solve for this quadratic function to model the values in the table.
x | y
-1 | -8
0 | -2
3 | -8
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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Check that 2b + b and 3b have the same value when b is:
A) 1 (Yes or No, Explain)
B) 3 (Yes or No, Explain)
Answer:
Option A is correct
Step-by-step explanation:
because,
2b+b and 3b
if b= 1
2(1)+1 and 3(1)
2+1 and 3
3 and 3
Hence Both have same value if b=1
The GCF of 20 and another number is 4. Which of these could be the other
number? Select all that apply.
A 4
B 8
C 10
D 20
E 80
Answer:
Step-by-step explanation:
A because the gcf of 20 is 4 and the gcf of 4 is 4
Answer:
b
..,..............................................is my answer
find the least common denominator for thes two ratioal expression -1/y 2/5yfind the least common denominator for thes two ratioal expression -1/y 2/5y
Answer: it is -1, because y has no more complete prime factors
Step-by-step explanation:
Compare the monthly payments and total loan costs for the following pairs of loan options. Assume that both loans are fixed rate and have the same closing costs.
You need a $160,000 loan.
Option 1: a 30-year loan at an APR of 10%
Option 2: a 15-year loan at an APR of 9.5%
Find the monthly payment for each option.
The monthly payment for option 1 is $___
The monthly payment for option 2 is $___
Monthly payment option 1 = $300,000 / 166.79161 = $1,798.65 and the monthly payment option 2 = $300,000 / 130.7201 = $2,294.98.
How to calculate the monthly payment?The numbers are missing, so I looked for similar questions to fill in the blanks:
You need a $300,000 loan. Option 1: a 30-year loan at an APR of 6%. Option 2: a 15-year loan at an APR of 4.5%.
We can use the present value of an annuity formula to calculate monthly payments.
Present value = monthly payment x PV annuity factor
Monthly payment = present value / PV annuity factor
Present value = $300,000
Option 1: PV annuity factor, 0.5%, 360 periods = 166.79161
Option 2: PV annuity factor, 0.375%, 180 periods = 130.7201
Monthly payment option 1 = $300,000 / 166.79161 = $1,798.65
Monthly payment option 2 = $300,000 / 130.7201 = $2,294.98
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A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked down the details of these transactions to see that the correct procedures for reporting these large transactions were followed. If the chance for a procedural error is 10%, what is the probability that the manager finds more than two such transactions
Answer:
0.4629 = 46.29% probability that the manager finds more than two such transactions
Step-by-step explanation:
For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution 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.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
A manager randomly selected 25 large cash transactions at a bank that were made in January.
This means that \(n = 25\)
The chance for a procedural error is 10%
This means that \(p = 0.1\)
What is the probability that the manager finds more than two such transactions?
This is:
\(P(X \geq 2) = 1 - P(X < 2)\)
In which
\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)\)
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718\)
\(P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994\)
\(P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659\)
\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371\)
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629\)
0.4629 = 46.29% probability that the manager finds more than two such transactions
Using the binomial probability relation, the probability that more than 2 such transactions is made is 0.463
Given the Parameters :
Sample size, n = 25 Probability of success, p = 0.10q = 1 - p = 1 - 0.10 = 0.90Using the relation :
\( P(x = x) = nCx \times p^{x} * q^{n-x} \)Substituting the values into the relation :
P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)
Using a binomial probability calculator :
P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)
P(X > 2) = 0.226 + 0.138 +... +..
P(X > 130) = 0.463
The probability that more than 2 such transactions is made is 0.463
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What’s the answer to this question?
Answer: B
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). It is saying to add f(x) and g(x). Since we were given f(x) and g(x), we can directly add them together.
(f+g)(x)=4x+2+x²-6 [combine like terms]
(f+g)(x)=x²+4x-4
Now that we have found (f+g)(x)=x²+4x-4, the answer is B.
The system of equations is graphed on the coordinate plane.
y=x−1
y=−2x−4
Enter the coordinates of the solution to the system of equations in the boxes.
Answer:
(-1,-2)
Step-by-step explanation:
Hello!
The solution to the system is at the intersection between the two graphed lines.
Remember that a coordinate is written in (x,y) format, so we take the x-value of the points and the y-value of the point.
The coordinate is (-1, -2).
Find the surface area of the composite figure shown below that
consists of a right cone sitting atop a right cylinder. Use 3.14 form and
give the answer in square meters.
1-20 m
r 13 m
h=13m
Using the right cone formula we know that the surface area is 1281.77638m³ respectively.
An axis that is perpendicular to the base plane defines a right circular cone. By rotating a right triangle around one of its legs, we may create a right cone.
The right circular cone in the illustration has an axis that is perpendicular to the base and a circular base with a radius r.
So, the formula for the surface area of the right cone is as follows:
πr(r+√h²+r²)
We have the values: r = 13m and h = 13m
Now, insert values as follows:
= πr(r+√h²+r²)
= π13(r+√13²+13²)
= 1281.77638
Therefore, using the right cone formula we know that the surface area is 1281.77638m³ respectively.
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In KLM, KM is extended through point M to point N,
(3x +19)°, m/LMN = (7x + 5)°, and
m/KLM = (2x+8)°. What is the value of x?
The value of the variable "x" is 11.
We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".
The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.
∠LMK + ∠LMN = 180°
∠LMK + (7x + 5)° = 180°
∠LMK = 180° - (7x + 5)°
In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠K + ∠L + ∠M = 180°
(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°
3x +19 + 2x + 8 + 180 - 7x - 5 = 180
-2x + 22 = 0
2x = 22
x = 11
Hence, the value of the variable "x" is 11.
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A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 10.2 inches, and standard deviation of 3.3 inches.
If 48 items are chosen at random, what is the probability that their mean length is greater than 8.8 inches?
(Round answer to four decimal places)
Answer: Hope this helps ;)
Step-by-step explanation:
The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.
First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):
(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242
We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.
Using a calculator, we find that the probability is 0.3389.
Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.
3(y+1/4)>3/4 determine the value of y for the inequality
Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.
What is inequality?An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.
Here,
We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:
3y + 3/4 > 3/4
Next, we can simplify by subtracting 3/4 from both sides:
3y > 0
Finally, we can solve for y by dividing both sides by 3:
y > 0/3
y > 0
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simplify the expression 8xy-(x+2xy)+3x
Answer:
6xy + 2x
Step-by-step explanation:
Simplify the expression.8xy-(x+2xy)+3x
21. Barry charged $4 for each copy
of Return of the Dinosaurs. How
many copies did Barry sell?
Answer:
Step-by-step explanation: The question is missing the key part. In the book it say the total sell copies profit is $1200.
So 1200 / 4 = 300.
The number of copies Barry sold of Return of the Dinosaurs is 300 copies.
Given that, Barry charged $4 for each copy of Return of the Dinosaurs.
What is bar graph?A bar graph is a graph that shows complete data with rectangular bars and the heights of bars are proportional to the values that they represent. The bars in the graph can be shown vertically or horizontally. Bar graphs are also known as bar charts and it is a pictorial representation of grouped data.
From the given bar graph, Return of the Dinosaurs shows $1200 total sales
Number of copies = Total sales/Cost of each copy
= 1200/4
= 300 copies
Hence, the number of copies Barry sold of Return of the Dinosaurs is 300 copies.
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A lawn mower cost $470 when new and is expected to last 10 years. What will it be worth in 7.5 years? (Assume the lawn mower has a value of $0 after 10 years.)
How do we solve this?
Answer:
f(x)=11+7√x
f'(x)=7/(2x^(1/2))
putting x=1
f'(1) = 7/(2×1^(1/2))
= 7/2 = 3.5
putting x=2
f'(2) = 7/(2×2^(1/2))
= 7/(2×√2)
= 7√2/4
= 2.47 (rounded to the nearest hundredth)
f'(3) = 7/(2×3^(1/2))
= 7/(2×√3)
= 7√3/6
= 2.02 (rounded to the nearest hundredth)
2c=8 and after you have to do subtraction to check
Answer:
Whats the question?
Step-by-step explanation:
Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
\(y = ab^x\)
We have :
\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)
Given points : (4, 9) and (5, 34.2)
We have:
\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)
Writing the equation with x, y and b:
\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)
a = 0.043
b = 3.8
When x = 6, y will be:
\(y = (0.043)(3.8^6)\\\\y = 128.47\)
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
Z varies directly as the square of x. If z=48 when x=4, find z when x=5
Answer:
60
Step-by-step explanation:
z = kx
48 = k(4)
k = 12
z = 12(5)
z = 60
The sum of two numbers is 25 one number is five less than the other number find the larger number
*NOT MY WORK ITS FROM SOMEONE ELSE WHO ASKED THE SAME PROBLEM*
Answer: x=15, y= 10
Step-by-step explanation:
Answer: x=15, y=10
*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.
Step-by-step explanation:
For this problem, we can use system of equations. Let's use x for one number and y for the other.
First Equation:
x+y=25
We get this equation because it states that the sum of the two numbers is 25.
Second Equation:
y=x-5
We get this equation because it says one number (y) is 5 less than the other (x).
Since we have two equations, we can use substitution method to solve.
[distribute 1 to (x-5)]
[combine like terms]
[add both sides by 5]
[divide both sides by 2]
Now that we have x, we can plug it into any of the equations to find y.
[plug in x=15]
[subtract both sides by 15]
Finally, we have our answer, x=15 and y=10.
Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!
Answer:
d. linear; $25/hour
Step-by-step explanation:
From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.
For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.
Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.
Linear. $25/hour
Answer choice d.
I hope you find my answer and explanation to be helpful. Happy studying.
Joseph has 9 business shirts. He needs to take 4 shirts for a work conference. In how many ways can he choose 4 shirts out of 9?
Answer: 3,024
Step-by-step explanation:
This is a probability question. Here, the order does not matter, so a combination of shirts 1, 2, 3, and 4 and 4, 3, 2, and 1 count together as 1. We use the permutation calculator to get 9! / ( 9 - 4 )!. ( 9 - 4 )! is equal to 5! and 9! / 5! = 9x8x7x6, or 3,024
A coin is flipped 10 times and lands on heads 8 times. What is the theoretical probability that the coin will land on tails on the next flip? 20% 50% 80% 100%
Answer 20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Which of these is the correct ratio of strawberries to blueberries for the fruit salad?
A. 8 strawberries: 30 blueberries
B. 8 strawberries: 8 blueberries
C. 4 strawberries: 30 blueberries
D. 32 strawberries: 30 blueberries
The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).
What is the ratio?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.
The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.
(8 x 4) : 30
32 : 30
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Answer: A. 8 strawberries: 30 blueberries
Step-by-step explanation:
Can the following quadrilateral be proven to be a parallelogram based on the given information? Explain.
(picture shown below)
A.) No. It cannot be proven because at least two of the adjacent angles are not congruent to each other
B.) Yes. It can be proven because both pairs of opposite sides are congruent.
C.) No. It cannot be proven because it does not have an angle that is supplementary to both of its consecutive angles.
D.) Yes. It can be proven because both pairs of opposite angles are congruent.
Answer:
Step-by-step explanation:
The answer is, no!
Step-by-step explanation:
The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.
So, here is the given information on what we need to classify a shape as a parallelogram:-
1) Parallel Sides
2)Opposite Sides are equal.
3) Adjacent sides are not equal.
4) Opposite angles are equal.
5)Adjacent angles are not equal.
Based on this, we can classify a shape as a parallelogram.
Hope, this answer helps!
You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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