Probability of someone over age 30 winning the tickets is; 38.46%
How to find the probability of winning?We are given;
Number of People over 30 years of age = 15
Number of people between 20 and 30 years old = 14
Number of People under 20 years old = 10
Total number of people in the group = 15 + 14 + 10 = 39
Thus;
Probability of someone over age 30 winning the tickets = 15/39 = 38.46%
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given ABCD,EBGF, and HJKD are parallelograms.
Answer:
see explanation
Step-by-step explanation:
• the opposite angles of a parallelogram are congruent.
Then
∠ 2 = ∠ 1
and
∠ 4 = ∠ 1
and
∠ 3 = ∠ 4
since ∠ 3 = ∠ 4 and ∠ 4 = ∠ 1 with ∠ 2 = ∠ 1 = ∠ 4
then
∠ 2 ≅ ∠ 3
By using the property of opposite angles of a parallelogram, we can say that ∠2 = ∠3.
A parallelogram is a special type of quadrilateral whose opposite sides are equal and parallel to each other. Another notable property of a parallelogram is that opposite angles are equal and sum of adjacent angles is 180 degrees.
Using the property that opposite angles of a parallelogram are equal,
In the parallelogram BEFG, ∠2 = ∠1 - equation 1
In the parallelogram DHJK, ∠4 = ∠3 - equation 2
In the parallelogram ABCD, ∠4 = ∠1 - equation 3
Equating equations 1, 2 and 3,
∠2 = ∠1 = ∠4 = ∠3
Thus implying, ∠2 = ∠3.
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What are the factors affecting substitution reaction?
The factors affecting substitution reaction are Steric nature of the substrate, Nature of nucleophile, Solvent used, Leaving group.
Steric nature of the substrate - The substrate's electrophilic center's steric accessibility is likely the most crucial determinant in determining whether a nucleophilic substitution will follow a Sn1 or a Sn2 mechanism.Nature of nucleophile -Small nucleophiles are preferred by Sn1 and Sn2 reactions.Solvent used - As was already noted, low to moderate polarity solvents like acetone and N,N-dimethylformamide are preferred for Sn2 mechanisms (DMF).Leaving group - The most crucial thing to keep in mind in this regard is that strong bases make ideal departing groupings.To learn more about substitution here:
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What is the easiest way to find the center of dilation?
The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.
How To Find The Scale Factor Of A Dilation?The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.Given that each angle is congruent, each segment is proportional, the slope of each segment is preserved, and the perimeter of the preimage and image have the same scale factor, using dilation scale factors allows us to enlarge or reduce a figure to the desired size.The following operations will then be covered in detail for you to perform:To transform, ascertain the scaling factor.What kind of dilatation is it?Assign a scale factor to the dilatation.Two dilated figures should have a perimeter ratio.To Learn more About dilation refer To:
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Danielle invested £2800 for n years in a savings account.
She was paid 2.5% per annum compound interest.
The interest is paid into the account at the end of each year.
At the end of n years, the amount of money in the savings account is greater than £3000 for the first time
Work out the value of n.
(Total for question = 2 mar
Therefore , the solution of the given problem of interest comes out to be
time = 3 years.
What is a interest?Simple interest is determined by summing the principal, interest rate, time frame, and other elements. The simple return is determined by dividing the principal by the interests rate along with the number of hours. The easiest way to calculate interest is with this formula. Interest is often determined as a percentage of a principal amount. He would only have to pay 50% of a 100% charge if he asked a buddy for a $100 loan and agreed to repay it with 5% interest. $100 (0.05) = $5. You should pay interest on the money you borrow, and you must add interest to any money you lend.
Here,
=>start * multiplier^t
=> multiplier = 1 + x % = 1.025
try n=1,
n=2,
n=3
So,
2800 * 1.025^n =3000
On comparing n=1,2,3
We get,
2800 * 1.025^3 = 3000
Thus , n=3 is the correct answer.
Therefore , the solution of the given problem of interest comes out to be
time = 3 years.
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whats the answer to 3 1/6 + 2 3/8?
Answer:5 13/24
Step-by-step explanation:
The correct answers is 5.54166667
→ 3 1/6 dividing
→ + 2 3/8 dividing and adding.
→ = 5.54166667
Can you help me with this
Answer:
No function is shown
Step-by-step explanation:
After a 25% discount, the price of a T-shirt was $12. What
was the price before the discount?
Answer: $15
Step-by-step explanation: 1.25 X 12 = 15
Answer:
The price before the discount is $ 16
Step-by-step explanation:
Joephine wrote the number 1-100 and placed them in a bag. If he elect a number without looking what i the probability that the number i greater than 78
The probability that the number is greater than 78 is 22/100 or 22%.
1. There are a total of 100 numbers in the bag.
2. Out of the 100 numbers, 78 are less than 78.
3. Therefore, there are 22 numbers that are greater than 78.
4. The probability of selecting a number greater than 78 is 22/100 or 22%.
Josephine wrote the numbers one to one hundred and placed them in a bag. If he randomly selects a number without looking, what is the probability that the number is greater than seventy-eight? The probability that the number is greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent. This is because there are a total of one hundred numbers in the bag, and out of those one hundred numbers, seventy-eight are less than seventy-eight. Therefore, there are twenty-two numbers that are greater than seventy-eight. The probability of selecting a number greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent.
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PLEASE HELP ASAP
The graph shows the favorite colors chosen by middle school students. Which statement is supported by the information in the graph?
Exactly 42% of the students chose green, black, or purple as their favorite color.
More than 1/10 of the students chose pink as their favorite color.
Less than 18% chose blue as their favorite color.
Fewer than 30% of the students red, yellow, or orange as the favorite color.
A statement which is supported by the information in the graph include the following: A. exactly 42% of the students chose green, black, or purple as their favorite color.
How to determine the true statement?In order to determine the true statement based on the information provided in the given bar chart, we would calculate the total number of students as follows;
Total number of students = 6 + 4 + 8 + 7 + 9 + 3 + 4 + 9
Total number of students = 50 students.
For the number of students who chose green as their favorite color, we have the following:
Green = 6/50 × 100
Green = 0.14 × 100
Green = 14%.
For the number of students who chose black as their favorite color, we have the following:
Black = 8/50 × 100
Black = 0.16 × 100
Black = 16%.
For the number of students who chose purple as their favorite color, we have the following:
Purple = 6/50 × 100
Purple = 0.12 × 100
Purple = 12%.
Total percentage = 14% + 16% + 12%
Total percentage = 42%
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PLS I WILL FAAAIIIIL
Factor the following expressions completely. Show and check all work on your own paper. 4x2+4x+1
Answer:
The factorised form of the expression given 4x² +4x +1 according to the task content is; (2x+1) (2x+1).. What is the factorised form of the expression given in the task content? It follows from the task content that the given expression is; 4x² +4x +1. Hence, it follows from factorisation convention that the expression above can be rewritten as;. 4x² +2x +2x +1
Step-by-step explanation:
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
let's solve ~[tex]\qquad \sf \dashrightarrow \: 4x {}^{2} + 4 x + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: 4 {x}^{2} + 2x + 2x + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x(2x + 1) + 1(2x + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 1) (2x + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 1)[/tex]
The required (factored) expression will be :
(2x + 1)²Jenna earns $10.75 per hour working at the mall. If Jenna worked 23 4/5 hours last week, how much did she earn before taxes were taken out?
The total weekly earnings of Jenna before the taxes were taken out is
$255.85.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Jenna earns $10.75 per hour working.
She worked a total of [tex]23\frac{4}{5}[/tex] hours last week.
Therefore, The total earnings of Jenna can be obtained by multiplying her rate per hour by the total number of hours she worked which is,
= 10.75×119/5.
= 10.75×23.8.
= $255.85.
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Solve the following equation for F.
√gF+H = u
Therefore , the solution of the given problem of quadratic equation comes out to be F = u²/g −H/g.
Describe a quadratic equation.A quadratic algebraic in a single variable x2+ cx +z =0 which is a quadratic equation. a 0. The fact that this quadratic is of second order guarantees you it has at least single solution according to the Foundational Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least on word in it ought to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the integer values or integers a, b, and c.
Here,
Given : √gF+H = u
On squaring both side :
=>gF + H = u²
=> gF= u²− H by g
.=>gF/g =u²/ g + (−H)/g
Simplify the left side.
=>F=u²/g + (−H)/g
=>F = u²/g −H/g
Therefore , the solution of the given problem of quadratic equation comes out to be F = u²/g −H/g.
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Find the mean of the life spans of the farm animals.
Farm Animal Life Span
chicken
duck
horse
pig
sheep
COW
goat
7 years
10 years
22 years
10 years
12 years
10 years
12 years
OA. 10 years
OB. 11.9 years
O C. 12 years
OD. 15 years
Answer:
Step-by-step explanation:
The mean would be 11.857142857143 , so basically 11.9
The mean life span of the given farm animals is approximately 11.9 years, obtained by adding up all the individual life spans and dividing the total by the number of animals.
Explanation:The question asks for the mean, or average, of the life spans of various farm animals. Here's how we calculate it:
Add up all the individual life spans: 7 (chicken) + 10 (duck) + 22 (horse) + 10 (pig) + 12 (sheep) + 10 (cow) + 12 (goat) = 83 years.Divide the total by the number of animals (7 in this case): 83 ÷ 7 = 11.857 years, rounded to the nearest tenth.Therefore, the mean life span of these farm animals is approximately 11.9 years, which corresponds to option B.
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Dave says:
The only quadrilateral with 4 right angles is a rectangle.
Is Dave correct?
EXPLAIN YOUR ANSWER
No, Dave is not correct. The quadrilateral with 4 right angles is a rectangle as well as square.
Define the properties of rectangle and square?Square: 4 equal sides, four internal right angles, plus four vertices make up the flat, two-dimensional (2D) shape known as a square.
Specifications of a Square
The lengths of a square's four sides are all equal.A square's internal angles are all 90°.A square's diagonals are parallel to one another.A square has equal-length diagonals that cut each other in half.Rectangle: A rectangle is indeed a two-dimensional form with equal lengths on both sides. It has four vertices and four equal angles. A rectangle's four angles are all 90° in angle.
Rectangle's Qualities:
A rectangle's opposing sides are equal as well as parallel to one another.A rectangle has only 90° inside angles.A rectangle has equal-length diagonals that cut each other in half.To know more about the rectangle and square, here
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Find the greatest common factor (GCF) of 18 and 6 .
GCF=
use the gcf to factor 18 + 6 = _ x (_+_)
The greatest common factor of 18 and 6 is 6
What is Greatest common factor?The greatest common factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.
To find the greatest common factor between 18 and 6, we have to find the common factors of 28 and 6
The factors of 18 are: 1, 2,3,6,,9,18
The factors of 6 are: 1,2,3,6
The common factors are: 1,2,3,6
the greatest common factor is 6
Therefore the greatest common factor of 18 and 6 is 6
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How many different natural numbers can be formed using the digits 0,2,3,4,5,6 lying between 10 and 1000
Answer:
The total number of numbers = 125
Need the answer to the problem below.
((7 * 4) ^ 8) ^ 10 =
Answer:
Here is your answer
((7 * 4) ^ 8) ^ 10 =
(28 ^ 8) ^ 10 =
377801998336 ^ 10 = 59243745466425005914454309773057597308923913133540598788947321202681255877119822027605832529210827998599338289790976
Step-by-step explanation:
Name the convex polygon whose interior angle measures have each given sum. 900 and 2520
Answer:
A convex polygon's interior angle measure is given by the formula (n-2) * 180, where n is the number of sides of the polygon. So for a polygon with an interior angle sum of 900, we have (n-2) * 180 = 900. Solving for n, we get n = 5.
For a polygon with an interior angle sum of 2520, we have (n-2) * 180 = 2520. Solving for n, we get n = 14.
So the convex polygon with an interior angle sum of 900 is a pentagon, and the convex polygon with an interior angle sum of 2520 is a 14-gon.
Step-by-step explanation:
A total of $12,000 is invested at an annual interest rate of 3%. Find the balance after 4 years if
the interest is compounded continuously.
$13506.11
$12526.03
$13,529.96
The balance after 4 years if the interest is compounded continuously can be calculated using the formula for continuous compounding:
A = Pe^rt
where A is the balance after the period, P is the initial principal, r is the interest rate, and t is the time in years.
In this case, the initial principal is $12,000, the interest rate is 3%, and the time is 4 years.
A = 12000 * e^(0.03*4)
A = 12000 * e^0.12
A = 12000 * 1.128037
A = $13,529.96
4^2 + 3|4x - 9| when x = -2
Answer:
[tex]4^2+3|4(-2)-9|\\16+3|-17|\\16+51\\\boxed{67}[/tex]
Why is the square root of 16 is equal to?
A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots, thus the square root of 16 is equal to 4.
What is square roots?It is possible to multiply an integer by its square root in order to obtain the original value. Square root of, end square root is the symbol for this mathematical concept. Contrary to squaring, finding a number's square root is the reverse. For instance, 3 is squared at 9, 32, and its square root at 9, which is 9, is equal to 3. It is simple to multiply by 9 since it is a perfect square.
So, there is a reverse relationship between squaring and getting the square root.
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HELPPPPP !! The cost in dollars to produce x shovels in a factory is given by the function C(x)=17x+500. The number of shovels that can be produced in h hours is
given by the function N(h)=30h.
7. Find the rule for C(N(h)).
8. Find the cost when h=8 hours.
The cost when h=8 hours is 4290.
What is function?A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. An example of a rule is a function, which produces one output for a single input. A mathematical function is a rule that determines the value of the dependent variable based on the values of the independent variables. A table, a formula, or a graph are just a few examples of how a function might be expressed.An input is connected to an output by a function. It resembles a device with an input and an output. In addition, the output is somehow connected to the input.c(x) = 12x + 450 and N(h) = 40h
We get,
C(N(h)) = 12 *(N(h)) + 450
= 12 * 40h + 450
= 480h + 450
So,
Cost when h = 8 -> 480*8 + 450 = 4290
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Can you help me answer this question ?
Answer:
2
Step-by-step explanation:
Since k= -5/2 then -k is the opposite sign or 5/2
5/2 + 3/2 = 8/2
8/2 = 4
4 + (-2) is the same as 4-2
4-2 = 2
Answer: 2
Answer: 2
Step-by-step explanation:
The value of K is given as -5/2, so let's use it to solve the equation.
When you substitute -5/2 for k, you'll get
3/2+5/2-2 = 4-2=2
Therefore, the answer is 2.
Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month.
- Kyle's total sales for the month of January were $15,000 and his total earnings for hat month were $2,550.
- Kyle's total sales for the month of February were $25,000 and his total earnings for that month were $3,050.
What is Kyle's fixed monthly salary in dollars?
Kyle's fixed monthly salary in dollars $1800 and fixed percentage of his total sales for the month is 5%.
What is fixed salary?Fixed pay, also known as a fixed salary, is the predetermined and set sum that an employer pays to a worker at the conclusion of each payroll cycle. The term "fixed pay" refers to all compensation that the company guarantees, most frequently in the form of a monthly or annual salary.
We let his fixed monthly salary be x & his fixed percentage be y so our equations will be:
2,550 = x + 15,000y
3,050 = x + 25,000y
Subtract the equations
3,050 = x + 25,000y
- 2,550 = x + 15,000y
500 = 10,000y
y = 10000/500
y = 0.05 or 5%
Potting the value of in first equation we get,
2,550 = x + 750
x = 2,550 - 750
x = $1800
Thus, Kyle's fixed monthly salary in dollars $1800 and fixed percentage of his total sales for the month is 5%.
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Mrs. Chauvet keeps a Mystery Box in her classroom. If students meet expectations for behavior, they are allowed to draw slip of paper without looking. The slips are all equal size, well mixed, and have the name of a prize written on them. Here is the probability model for the prizes a student can win:
The requried solutions are,
(A) The given probability model represents all the possible probabilities between 0 and 1.
(B) The probability that a student won't win extra recess time is 0.95.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
(a)
The given probability model represents all the possible probabilities between 0 and 1, probabilities add up to 1.
(b)
The probability that a student won't win extra recess time is given as,
= 1 - p[student will win extra recess time]
= 1 - 0.05
= 0.95
Thus, the requried solutions are given above.
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What is used to calculate best fit line in linear regression?
The least sum of squared errors cost function is used to determine the line of best fit. The least sum of squares error will be on the line of best fit.
What is linear regression?
When predicting a variable's value based on the value of another variable, linear regression analysis is utilized. The dependent variable is the one you want to be able to forecast. The independent variable is the one that you are utilizing to forecast the value of the other variable.
What does linear regression regression mean?
A regression is a statistical approach that links a dependent variable to one or more independent (explanatory) variables.
If there are changes in one or more of the explanatory variables, a regression model can demonstrate whether changes in the dependent variable are also related.
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Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 by washing
5 cars and vacuuming 4 cars. Byron raised $28 by washing 4 cars and vacuuming 2 cars. Find the amount they
charged to wash a car and vacuum a car.
Answer:
Step-by-step explanation:
Let x = amount charged for washing a car
y = amount charged for vacuuming a car
Solution :38 = 5x + 4y (1)
28 = 4x + 2y (2)
Can be solved by substitution or simply subtracting the (1) and (2) equation.
By Substitution:
38 = 5x + 4y ---> solve for x
38 - 4y = 5x (transposed 4y to the other side of the equation and it's sign changes from (+) to (-).
[tex]\frac{38-4y}{5} =x[/tex]
substitute the value of x to the (2) equation.
28 = 4x + 2 y
[tex]28=4(\frac{38-4y}{5})+2y[/tex]
[tex]28=\frac{152-16y}{5} +2y[/tex] , then multiply both side by 5 to eliminate the denominator 5.
140 = 152 - 16y + 10y (transposed 152 to the other side, change sign from (+) to (-)).
140 - 152 = -16y + 10 y
-12 = -6y (divide both side by (-6)
y = 2 or $2 (amount charged for vacuuming)
Using any of the 2 equation, we can solve for the value of x.
38 = 5x + 4 (2) (we substitute, the value of y)
38 - 8 = 5x
30/5 = x
x= 6 or $6 (amount charged for washing)
Dylan opened a credit card account with $625.00 of available credit. Now that he has made some purchases, Dylan's account only has $493.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
The answer is 21%
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Dylan opened a credit card account with $625.00 of available credit. Now that he has made some purchases, Dylan's account only has $493.75 of available credit.
Thus change in amount is 625-493.75=131.25
percentage change = 131.25/625 × 100
= 21%
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The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5. The profit for the year was $176,500. Determine the number of dollars each partner is to receive.
For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.
Here let the partners be A, B, and C.
According to the question, A: B: C = 3: 2: 5
This implies that if the profits are divided into
3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.
Here the profits for the year are $176,500.
Now dividing them into 10 equal parts will give us the value of each part to be
$176, 500/10 = $17,650
Hence A will receive $17,650 X 3 = $52,950
B will receive $17,650 X 2 = $35,300
C will receive $17,650 X 5 = $88,250
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Select the best answer. Which of the following statements about the sampling distribution of the sample mean is incorrect? (a) The standard deviation of the sampling distribution will decrease as the sample size increases. (b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples. (c) The sample mean is an unbiased estimator of the population mean. (d) The sampling distribution shows how the sample mean will vary in repeated samples. (e) The sampling distribution shows how the sample was distributed around the sample mean.
Answer:
The answer is E) The sampling distribution shows how the sample was distributed around the sample mean.
Step-by-step explanation:
Hope this helps!