The set using Roster method is, D = {76, 90, 92, 94, 96}
What is Roster Method?The roster technique is defined as a method for displaying the elements of a set by listing the elements within brackets.
A roster method example is to write the set of numbers from 1 to 10 as
{1, 2, 3, 4, 5, 6, 7, 8, 9, and 10}.
Given:
Set D is the set of positive two-digit even numbers greater than 74
that do not contain the digit 8
First, Even numbers greater than 74 are
76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98.
Now, Even Number doe not contain 8 are 76, 90, 92, 94, 96.
Using Roster method the set is
D= {76, 90, 92, 94, 96}
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what is mantissa in maths
Answer:
Step-by-step explanation:
caca
Look at this table.
Gallons Cost, in
of Gas Dollars
1 2.15
2 4.30
4 8.60
10 21.50
? 30.10
20 43.00
What value is missing from the table?
A. 15
B. 14
C. 16
D. 13
WILL GIVE BRAINLIEST
(Theoretical Probability MC)
Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.
List 1 List 2 List 3 List 4
O
0,0 0,0 0,0
G
O, GO, GO, G
B
O, B O, BO, B
G, O G, OG, O
G, B
G, B
G, B
G, G
G, G
G, G
B, B
B, BB, B
B, GB, GB, G
B, O B, O
G, O
O, B
G, B
Which list gives the sample space for pulling 2 marbles from the bag with replacement?
List 1
List 2
List 3
List 4
Here are the possible outcomes of randomly drawing two marbles from the bag:
O, G
O, B
G, O
G, B
B, O
B, G
There are six possible outcomes in total, each with an equal chance of occurring. Therefore, the theoretical probability of drawing an orange marble and a green marble from the bag is 1/6 or approximately 0.167.
How do I solve this and what’s the answer?
f(t)= 5-2t is the answer -39.1%
Yeah, your right the answer would be -39.1%
6 2/3 x 5 what is the answer i will give you 5 points or 20
Answer:33 1/3
Step-by-step explanation:
Answer: 33.35
Step-by-step explanation:
6 2/3 is 6.67 in decimal form. 6.67 x 5 = 33.35
So, the answer is 33.35
I hope this helps!
Pls help asap rewarding Brainliest
Im not fully sure but it might be the 3rd one!
HELPPPP THE GRAPG SHOWS CUBS ROOT PARENT FUNCTION
The correct statement regarding the sign of the function is given as follows:
A. The function is negative when x < 0.
When a function is positive and when it is negative?We have to look at the graph of the function relative to the x-axis, as follows:
A function is positive when the graph is above the x-axis.A function is negative when the graph is below the x-axis.Hence the sign of the function for this problem is given as follows:
Negative for x < 0.Positive for x > 0.Meaning that option A is the correct option.
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What is the area of a square that has a perimeter of thirty two centimetres?
Answer:
Step-by-step explanation:
I got you
So,
The perimeter of a square is the sum of the lengths of all its sides, and since a square has all sides equal, we can find the length of one side by dividing the perimeter by 4:
32 cm ÷ 4 = 8 cm
Therefore, each side of the square measures 8 centimeters. To find the area of the square, we can use the formula:
Area = side length x side length
So, the area of the square is:
Area = 8 cm x 8 cm = 64 square centimeters
Therefore, the area of the square with a perimeter of 32 centimeters is 64 square centimeters.
Need help with number 90
Answer:
a = 16.5
b = 8.8
Step-by-step explanation:
if S is 150% of T, then T is what percent of S+T
The percentage representation of T as part of S + T as required is; 40 percent.
What is the percentage representation of T as part of S + T?As evident in the task content;
S is 150% of T.
S = 150/100 × T
S = 1.5T.
Therefore, expressing T as a percentage of S + T as required is as follows;
= (T / (S + T)) × 100%
substitute S = 1.5T into the equation
= T / (T + 1.5T) × 100%
= (1/2.5) × 100%
= 0.4 × 100%
= 40%.
Ultimately, the variable T is 40 percent of S + T.
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2 Tom argues that his PAYE for the following year will increase by R593.09. The following year Tom's salary increases by 8.5%. How much tax will Tom pay per year, if he still contributes only 7.5% of his gross salary to a pension fund but increases his contribution to the charity organization by further R50.00 a month? Calculate as if the tax table for the following year remains the same.
Tom's total annual tax for the following year, assuming the tax table remains the same, is R325,287.17.
How much tax will Tom pay per year?To calculate Tom's tax for the following year, we need to first calculate his current monthly PAYE (Pay As You Earn) deduction. We can use the current tax table to do this.
Tom's gross salary is R25,780.25 per month, and he is 45 years old, so according to the 2021/2022 tax table for individuals under 65 years old, his monthly PAYE deduction is:
= R1,458.75 + 25% of the amount over R14,958
= R4,569.96
Tom argues that his PAYE will increase by R593.09 for the following year. This means that his expected monthly PAYE deduction for the following year is:
= R4,569.96 + R593.09
= R5,163.05
Tom's salary for the following year will increase by 8.5%, so his new gross salary will be:
= R25,780.25 + (8.5% x R25,780.25)
= R27,959.83
Tom's pension fund contribution remains the same at 7.5% of his gross salary:
= R27,959.83 x 7.5%
= R2,097.49
His charity organization contribution increases by R50.00 per month:
= R50.00 x 12
= R600.00
Assuming the tax table remains the same as the previous year, Tom's new monthly PAYE deduction is:
= R1,577.98 + 26% of the amount over R17,708
= R5,502.86
To calculate Tom's total annual tax, we need to subtract his annual PAYE deduction from his gross salary and then add back his pension and charity contributions:
Total annual tax = (R27,959.83 x 12) - (R5,502.86 x 12) + R2,097.49 + R600.00
Total annual tax = R325,287.17.
Full question "Tom is 45 years old. He earns a gross salary of R25,780.25 per month.. Tom argues that his PAYE for the following year will increase by R593.09. The following year Tom's salary increases by 8.5%. How much tax will Tom pay per year, if he still contributes only 7.5% of his gross salary to a pension fund but increases his contribution to the charity organization by further R50.00 a month? Calculate as if the tax table for the following year remains the same."
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Determine whether the study is an experiment or an observational study, and then identify a major problem with the study.
In a survey, 1465 Internet users chose to respond to this question posted on a newspaper's electronic edition: "Is news online as satisfying as print and TV news?" 52% of the respondents said "yes."
Question content area bottom
Part 1
This is an
▼
experiment
observational study
because the researchers
▼
do not attempt to modify
apply a treatment to
the individuals.
Part 2
What is a major problem with the study?
A.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
B.
There is no blinding or replication, which has a high chance of leading to bias.
C.
The sample is not very large.
D.
The results apply only to Internet users
The study is classified as an observational study, and the problem is given as follows:
A.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
What are experiments and observational studies?Experiments are studies in which there are two groups, with different features, and then the effect of a feature is studied.
For an observational study, there are no changes, just a question is asked, as is the case for this problem.
Convenience samples lead to bias as many people that share characteristics can answer.
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factor this completely
w^4y^4-81y^4
Answer:
(w^4 - 81)(y^4)
Step-by-step explanation:
Select the correct answer. Which table shows a proportional relationship between x and y? A. x y 2 4 3 6 4 9 B. x y 3 4 9 16 15 20 C. x y 4 12 5 15 6 18 D. x y 1 4 2 8 3 15 Reset Next
The answer is A. x y 2 4 3 6 4 9 for the given values.
What is proportional relationship ?
A proportional relationship is a type of relationship between two quantities, where the ratio of one quantity to the other remains constant. In other words, as one quantity increases or decreases, the other quantity changes in a way that maintains the same ratio between them.
For example, if we have a proportional relationship between
The table that shows a proportional relationship between x and y is A.
In a proportional relationship, the ratio of y to x remains constant. We can check this ratio for each table:
A. For x=2, y=4, so y/x=2. For x=3, y=6, so y/x=2. For x=4, y=9, so y/x=2. The ratio of y to x remains constant at 2.
B. For x=3, y=4, so y/x=4/3. For x=9, y=16, so y/x=16/9. For x=15, y=20, so y/x=4/3. The ratio of y to x is not constant.
C. For x=4, y=12, so y/x=3. For x=5, y=15, so y/x=3. For x=6, y=18, so y/x=3. The ratio of y to x remains constant at 3.
D. For x=1, y=4, so y/x=4. For x=2, y=8, so y/x=4. For x=3, y=15, so y/x=5. The ratio of y to x is not constant.
Therefore, the answer is A. x y 2 4 3 6 4 9 for the given values.
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he three data sets have the same mean and range, but is the variation the same? Prove your answer by computing the standard deviation. Assume the data were obtained from samples. (a) 4, 5, 11, 13, 13, 14 (b) 5, 7, 10, 10, 13, 15 (c) 3, 10, 11, 11, 12, 13
The standard deviations of the data are different.
Standard deviation:
The formula used to calculate the standard deviation of data is given by
Standard deviation = √[ ∑(x[tex]_{i}[/tex] - x)² /n ]x - mean of the data and n = number of observations
Here we have
(a) 4, 5, 11, 13, 13, 14
Mean of the data = [4 + 5 + 11 + 13 + 13 + 14 ]/6 = 60/6 = 10
On calculating deviations
=> ∑(x[tex]_{i}[/tex] - x)² = 96
=> √[ ∑(x[tex]_{i}[/tex] - x)²/n ] = √[ 96/ 6 ] = 4
(b) 5, 7, 10, 10, 13, 15
Since the mean of the data is equal for all
On calculating deviations
=> ∑(x[tex]_{i}[/tex] - x)² = 68
=> √[ ∑(x[tex]_{i}[/tex] - x)² /n ] = √[ 68/ 6 ] = 3.36
(c) 3, 10, 11, 11, 12, 13
On calculating deviations
=> ∑(x[tex]_{i}[/tex] - x)² = 64
=> √[ ∑(x[tex]_{i}[/tex] - x)² /n ] = √[ 64/ 6 ] = 3.26
Therefore,
The standard deviations of the data are different.
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Find the slope of the line passing through each of the following pairs of points (-6,-5) (-4,-3)
The Slope of the line is 1.
The slope of a line:The slope of a line is a numerical value that shows the stiffness or direction of the line. The formula used to find the Slope of the line is given by
Slope (m) = [ y₂ - y₁] / [ x₂ - x₁]Where (x₁, y₁) and (x₂, y₂) are pairs of points that pass through the line.
Here we have
The pair of points (-6, -5) and (-4, -3)
By using the formula,
The slope of the line = [ y₂ - y₁] / [ x₂ - x₁]
= [ -3 - (-5) ] / [ -4 - (-6) ]
= [ -3 + 5 ]/ [ -4 + 6 ]
= [ 2/2] = 1
Therefore
The Slope of the line is 1.
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The boy scouts collected 300 coats during their annual coat drive. This number is 150% of the number of coat they collected last year.How many coats did they collected last year?
Answer:
200
Step-by-step explanation:
300=150%
300/3=100
150/3=50
100x2=200
50x2=100
100%=200
Use the percent formula, A=PB: A is P percent of B, to answer the following question. 20% of what number is 46.0?
Answer:
230
Step-by-step explanation:
trying to find (in this case, 46.0), P is the percentage (20%), and B is the whole amount we're looking for. We can write this equation as:
46.0 = 0.20B
To solve for B, we can divide both sides by 0.20:
B = 46.0 / 0.20
B = 230
Therefore, 20% of 230 is 46.0.
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
How far away from his was Liam after 15 minutes?
The requried, Liam is 24 blocks away from his house.
What is a graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
A graph is shown, Liam left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Liam is x minutes after he left his house until he got back home.
In order to calculate Liam's distance after x = 15 minutes. Draw a perpendicular at x = 15 that intersects the curve. Since the line intersects the curve at y = 24. This implies that Liam is 24 blocks away from his house.
Thus, the requried Liam is 24 blocks away form his house.
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What is the vertical asymptote and horizontal asymptote pic attached below
The required horizontal and vertical asymptote is x = 2, -2, and y = 1/4.
How to find Asymptotes?To find the vertical asymptotes of the given rational function, we need to look for values of x that make the denominator zero, since division by zero is undefined.
The denominator of the function is 4(x-2)(x+2), so the vertical asymptotes occur at x = 2 and x = -2. Therefore, the vertical asymptotes are:
x = 2, -2
To find the horizontal asymptote, we can use the fact that as x goes to positive or negative infinity, the function approaches the ratio of the leading coefficients of the numerator and denominator.
In this case, the leading term in the numerator is x² and the leading term in the denominator is 4x². Therefore, as x approaches positive or negative infinity, the function approaches:
y = (x² / 4x²) = 1/4
So, the horizontal asymptote is:
y = 1/4
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please help me with trigonometry
The length of the guy wire to the nearest foot would be = 10 ft.
How to calculate the length of the guy wire?The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.
The distance from the stake to the pole (opposite) =a = 5 ft
The distance from the pole to the tower (adjacent) =b= 9ft
The length of the guy wire= c = X
Using the Pythagorean formula:
c² = a² + b²
c² = 5² + 9²
c² = 25+81
c² = 106
C = √106
C= 10 ft ( to the nearest foot)
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Complete question:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.
I need help finding what the indicated IQ score is. This is my elementary statistics homework question
The IQ score given the mean and the standard deviation, can be found to be 105. 25.
How to find the IQ score ?To find the indicated IQ score corresponding to a right tail area of 0.3694, we can use a standard normal distribution table or calculator. Using a calculator, we can find that the z-score corresponding to a right tail area of 0.3694 is approximately 0.35.
Once we have the z-score, we can use the formula z = (x - μ) / σ to solve for the IQ score :
0.35 = (x - 100) / 15
Solving for x, we get:
x = 0.35 x 15 + 100
= 105.25
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Item
Original Price Discount Sale Price
Soccer Jersey $85.75 20% $ ?
Tennis Racket $ ? 55% $49.05
Archery Set $94.00 % ? $61.10
Thus, the archery set's discounted price is $61.10.
What does discount mean?A reduction from the normal or list price. providing clients with a 10% discount. purchasing discounted tickets. (2): a proportionate reduction from an account of debt, typically provided in exchange for cash or quick payment.
The initial cost of the soccer jersey must be multiplied by (100% - 20%) = 80%, or 0.8, to determine the sale price after a 20% discount.
$85.75 x 0.8 = $68.60; Sale Price =Original Price multiplied by (1 - Discount)
Hence, the soccer jersey's retail price is $68.60.
We can apply the formula to get the tennis racket's original cost after just a 55% reduction and a $49.05 sale price:
Original Cost = Discounted Cost (1 - Discount)
Original Price = $49.05 / (1 - 55%) = $49.05 / 0.45 = $109.00
Hence, the tennis racket's original cost is $99.00.
The following formula can be used to determine the discount % for the archer set with just an original cost of $94.00 as well as a sale of $61.10:
Discount = (Original Price - Sale Price) / Original Price x 100%
Discount = ($94.00 - $61.10) / $94.00 x 100% = 35%
Hence, the archery set has a 35% discount.
The following equation can be used to determine the retail price of a archery kit with a 35% reduction and an original cost of $94.00:
Sale Price =Original Price multiplied by (1 - Discount)
Sale Price = $94.00 x (1 - 35%) = $61.10
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Write a unit rate for the situation.
3600 stitches in 3 minutes
Answer:Hence, there are 1200 1200 1200 stiches per minute.
Step-by-step explanation:
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answer:
Step-by-step explanation:
its 1
find the code find the quotient write your answer using a decimal and round to the nearest hundredth 8,426 / 82
Answer:The quotient of 8,426 divided by 82 can be found using long division or a calculator. When rounded to the nearest hundredth, the quotient is:
102.85
Therefore, the answer is 102.85.
Step-by-step explanation:
Can you describe this transformation?
The transformation is a reflection over the x-axis.
What is the transformation applied?
On the given graph we can see two triangles, one is pointing up and the other one is pointing down, from that we clearly can see that we hade a kind of reflection.
Now, the distance between the base of the top triangle and the x-axis is 4 units.
The distance between the top side of the bottom triangle and the x-axis is aslo 4 units.
Then the reflection is over the x-axis.
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What is 2^-2 equal to?
A. -4
B. -1/16
C. 1/4
D. 1/2
Answer:
best of my knowledge hope its right -4
Step-by-step explanation: