30.6% of survey respondents do not like both hamburgers and burritos, with the strongest association being that customers who like hamburgers are more likely to not like burritos.
Part A: The number of survey respondents that do not like hamburgers is 205 - 81 = 124.
Of these 124 respondents, 38 do not like burritos as well, so the percentage of respondents that do not like both hamburgers and burritos is 38 / 124 * 100% = 30.6%.
Part B: The marginal relative frequency of all customers who like hamburgers is 81 / (81 + 205) = 28.2%.
Part C: The conditional relative frequency of customers that like burritos given they like hamburgers is 49 / 81 = 60.5%.
The conditional relative frequency of customers that do not like burritos given they like hamburgers is 32 / 81 = 39.5%.
The conditional relative frequency of customers that like hamburgers given they like burritos is 49 / 141 = 34.8%.
The conditional relative frequency of customers that do not like hamburgers given they like burritos are 92 / 141 = 65.2%.
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Please help I need the answers ASAP!
Part A:
Find m∠2,
Since ∠1 and ∠2 are alternate interior angles, they are equal. So, m∠2=60°
Part B:
Find m∠3,
Since ∠2 and∠3 are supplementary, the sum of their measures is 180°. So, m∠3=180°-60° which is 120°.
Solve the simultaneous equation
3x + 4y = 67
5x + 6y = 106
Answer:
Step-by-step explanation:
Distributive property > Remove the parenthesis
-3(-3v^3+3-4w^2)
The expression -3(-3v^3+3-4w^2) after using the distributive property is 9v³ - 9 + 12w²
What is a distributive property?The distributive property of multiplication over addition is a mathematical method of expanding bracket mostly applied when you need to multiply a value by a sum.
This property of multiplication explains how to solve expressions that are in the form of a(b + c).
From the information given, we have the expression;
-3(-3v^3+3-4w^2)
To carry out the distributive multiplication , we need to remove the parentheses of the expression by taking the following steps, we have;
expand the bracket and take note of the mathematical signs, we get
-3(-3v³ + 3 - 4w²)
9v³ - 9 + 12w²
Note that we can no longer add the terms because they are not like terms.
Hence, the expression is 9v³ - 9 + 12w²
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Use the distributive property to write three different expressions that are equivalent to. 24xy + 48xz
suppose the mean and standard deviation are 74.04 and 9.75, respectively. if we assume that the distribution of ages is mound-shaped and symmetric, what percentage of the respondents will be between 64.29 and 93.54 years old?
Approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.
Given that:
Mean u = 74.04
Standard deviation S.D. = 9.75
Distribution of ages is mound-shaped and symmetric.
We have to find percentage of the respondent between 64.29 and 93.54 years old.
For 93.54
z-score = [tex]\frac{x-u}{S.D}[/tex]
Z score = (93.54 – 74.04)/9.75 = 19.5/9.75 = 2
For 64.29
Z score = (64.29 – 74.04)/9.75 = -9.75/9.75 = -1
Now p-value from z-table:
P(x<93.54) = p(z<2) = 0.97725
P(x>64.29) = p(z>-1) = 0.15866
Probability between 64.29 and 93.54 year old = .97725 – 0.15865
= 0.8186
Percentage of the respondent = 0.8186 * 100 = 81.8%
Therefore, approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.
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One angle of an isosceles triangle measures 120°. What measures are possible for the other two angles? Choose all that apply.
10°
30°
80°
50°
Answer:
b) 30°
Additional information:-
One angle (x) = 30° Both angles (2x) = 60°Step-by-step explanation:
We know that,
→ The other two angles of the isosceles triangles are equal.
Formula we use,
→ <A + <B + <C = 180°
Forming the equation,
→ 120° + x + x = 180°
Now the value of x will be,
→ 120° + x + x = 180°
→ 120° + 2x = 180°
→ 2x = 180° - 120°
→ 2x = 60°
→ x = 60°/2
→ [ x = 30° ]
Hence, option (b) is correct.
3/4x-5=3/8 without fractions or decimals
Answer:
X= 7 1/6
Step-by-step explanation:
-3/4x-5=3/8
-Add 5 on both sides
-3/4x=43/8
-Divide 3/4 on both sides
-X= 7 1/6 (there is no way for this not to be a fraction or decimal.)
Which equation is set up correctly using the Pythagorean Theorem for the triangle below?
9 cm and 14 cm x
A.9² +15²=x²
B.9+z=15
C.15+9=x
D.9²2 +2²=15²
Answer:
A.9^2+15^2=x^2
Step-by-step explanation:
Pythagorean Theorem
a^2+b^2=c^2
a p-value is .1151. what is the test-statistic (z-score)? explain how you know this. (explain how you calculated the answer.)
The test-statistic (z-score) is 1.19984.
To find the test statistic (z-score) using the p-value, you will need to use the inverse of the standard normal cumulative distribution function (CDF), also known as the inverse normal function or the "normal inverse function." This function can be found using a calculator or a spreadsheet program with built-in functions, or you can use a table of standard normal probabilities to find the corresponding z-score for a given p-value.
For example, if the p-value is 0.05, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.645. This means that the test statistic (z-score) for a p-value of 0.05 is 1.645.
It's important to note that this method only works for a one-tailed test, for a two-tailed test you need to divide your p-value by 2 and then use the inverse normal function.
so, the p-value is 0.1151, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.19984.
Therefore, the test-statistic (z-score) is 1.19984.
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Brainly to whoever answers correctly.
Sidney made root beer floats for her friends when they came over. The table shows the ratio of cups of ice cream to cups of soda used to make the floats.
Ice Cream (cups) Soda (cups)
3.5 10.5
8 24
12.5 37.5
15 ?
At this rate, how much soda will Sidney use for 15 cups of ice cream?
30 cups
35 cups
40 cups
45 cups
The number of cups of soda Sidney will use for 15 cups of ice cream is 45 cups of soda.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
From the table,
3.5 cups of ice cream = 10.5 cups of soda.
This means,
1 cup of ice cream = 3 cups of soda.
Multiply 15 on both sides.
15 cups of ice cream = 45 cups of soda.
Thus,
45 cups of soda are used.
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Let p and q represent the following statements.
p: Brad Pitt is governor.
9 There are not 51 states in the U. S.
Express the following statement symbolically.
There are 51 states in the U. S.
The statement written symbolically is
AS per the concept of reasoning, the statement written symbolically is ~Q
The term reasoning in math is defined as a drawing logical conclusions based on evidence or stated assumptions
While we looking into the statement P and Q, then we can get it as
p: Brad Pitt is governor.
q: There are not 51 states in the U. S.
Here we have to know that the we have to write the following in the symbolic form, that is written as,
=> There are 51 states in the U. S.
While we looking into the statement, we have identified that the statement is write as the inverse form of the previously given one.
So, the symbolic form is ~Q.
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how many times does 6 go into 3594?
Answer: 599 times
Step-by-step explanation: 3594/6=599
For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip. $177.90
The total dinner bill was $177.90 including a tip of 20%.
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
Given that, a restaurant adds a 20% gratuity (or tip), a dinner bill for a large party comes to $148.25, we need to find the total dinner bill with tip.
The total bill will be = 148.25 + 20% of 148.25
= 148.25 + 20/100 × 148.25
= 148.25 + 0.2 × 148.25
= 148.25 + 29.65
= 177.90
Hence, the total dinner bill was $177.90 including a tip of 20%.
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one eighth of al's coins are quarters and the rest are nickels. if the total value of the coins is $3.60, how many of each type of coin does he have?
Number of quarters is 6 and number of nickels are 42.
One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.
We know that:
Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60
so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60
=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60
multiplying both sides by 8 to cancel out 8, we get
=> x*0.25 + 7x * 0.05 = 28.8
=> x/4 + 7x/20 = 28.8
=> (5x + 7x)/20 = 28.8
=> 12x = 576
=> x= 48
x/8 = 6 and (x-x/8) = 42
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An artist draws a stained glass window to scale. The actual window will have a length of 5ft and a width of 2ft. The scale from the drawing to the window is 2in to 1 ft. What is the width of the drawing?
Answer: 4 in
Step-by-step explanation:
Solve for question 1. Linear or exponential
2. Additively or multiplicatively
3. Common difference/ slope or common ratio/ multiplier/ base
Linear function would better model the data because as x increases, the y values change additively. The common difference of this function is approximately 159.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
For this problem, the function is classified as linear, as the difference between consecutive terms is of approximately 159, while the ratios are different.
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Witch is cheaper 50 head of cattle for $24,500 or 37 head of cattle for $18,870
A culture of bacteria has an initial population of 8600 bacteria and doubles every 5
hours. Using the formula P = Po 24, where P, is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer: The formula for population growth of bacteria with a constant doubling time is P = Po*2^(t/d), where P is the population after t hours, Po is the initial population, t is the time in hours, and d is the doubling time.
Given the initial population of 8600 bacteria and a doubling time of 5 hours, we can substitute these values into the formula:
P = 8600 * 2^(7/5)
To find the population after 7 hours, to the nearest whole number, we can use a calculator to calculate 2^(7/5) which is approximately 3.7 and then multiply it with the initial population.
P = 8600*3.7
P = 31420
So, the population of bacteria in the culture after 7 hours will be around 31420.
Step-by-step explanation:
I just need the answer to W
The value of w in the rhombus is 19 degrees
How to determine the value of w?
From the question, we have the following parameters that can be used in our computation:
Angle CFD = 2w
Angle FED = 52 degrees
The figure is a rhombus
using the above as a guide, we have the following:
2w + 52 = 90
This is so because the angles in the base of the individual triangle are equal
Evaluate the like terms
2w = 38
Divide by 2
w = 19
hence, the solution is w = 19
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Simply the expression & explain
Answer:
780
Step-by-step explanation: The answer is 780!
k divided by 0.1 = 36 what is k
[tex]\dfrac{k}{0.1} =36[/tex]
Multiply both sides by 0.1:
[tex](\dfrac{k}{0.1} )\times0.1=(36)\times0.1[/tex]
[tex]\fbox{k = 3.6}[/tex]
8(r+1) Distributive property
Answer:(8 x r)+(8 x 1)
Step-by-step explanation:
[tex]8(r+1)[/tex]
Distribute:
[tex](8)(r)+(8)(1)[/tex]
[tex]\fbox{8r + 8}[/tex]
Greg calculated that he has to drive at least 50 miles per hour on the highway to get to his destination on time. What number line shows the solution set to this inequality
The number line which best conveys Gregg's situation is B.
line B is the answer and the image is attached,
Since Greg has calculated that his least or minimum speed should be 50 miles per hour ,
Then the line starts at 50 with the starting point shaded due to the at least notation.
Then at least means that,
Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.
Therefore, the number line which best conveys Gregg's situation is B.
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the wage for 35 people in a factory for one day i 7175. if on another day the factory paid 9225, how many people worked on that day, if the wage per day i the ame for everyone?
The total wage can only be an integer multiple of the wage per person.
The number of people working in the factory on a particular day can be calculated by dividing the total wage by the wage per person. This can be expressed mathematically as:
Number of People = Total Wage ÷ Wage per Person
For the given scenario, the number of people working on the day when the factory paid 9225 can be calculated as:
Number of People = 9225 ÷ 7175
Number of People = 1.287
Since the number of people has to be a whole number, this means that there were 1 people working in the factory on the day when the factory paid 9225. This is because when the wage per person is the same for everyone, the total wage can only be an integer multiple of the wage per person.
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The ratio of side lengths of a quadrilateral is 3 : 5 : 6 : 9, and its perimeter is 9.6cm. What is the length of the longest side?
The length of the longest side is solved to be 3.76 cm
How to determine the length of the longest sideAn ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.
The perimeter o the quadrilateral have a formula that add all the sides together, assuming the factor of the original length is x, the perimeter is solved by
9.6 = 3x + 5x + 6x + 9x
9.6 = 23x
x = 9.6 / 23
x = 0.4174
The length of the longest side
= 9x
= 9 * 0.4174
= 3.76 cm
3.76 cm is the length of the longest side
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Can someone please help me with this? I need help ASAP
Answer:
58
Step-by-step explanation:
error: 64+2p = 180. he missed 1 p.
so 2p =180-64
p = 58
number of ice cream bars needed to sell 100 each weekend for a year
I year of weekends= 105days therefore 105, therefore you need 105 ice cream bars? hoped this helped
The sum of two numbers is 30. One exceeds the other by 15. What are the two numbers?
let the number be x and y
x + y = 30 -----(1)
x = y + 15 -----(2)
y + y + 15 = 30
2y = 15
y = 7.5
x = 7.5 + 15 = 22.5
x= 22.5 , y = 7.5
7) Complete the blanks in this bank statement.
Date
25/03/20
28/03/20
29/03/20
Income Outgoings Balance
£453
£1200
£957
Using the arithmetic operations the balance amount for 28/03/20 and incoming amount for 29/03/20 is obtained as £ 747 and £ 210 respectively.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
The statement of bank account is given.
On 25/03/20 the balance amount left in bank was £ 1200.
On 28/03/20 the outgoing amount from the bank was £ 453.
To find the balance amount for 28/03/20, use the arithmetic operation of subtraction -
Balance amount = Previous Balance - Outgoing Amount
Substitute the values in the equation -
Balance amount = 1200 - 453
Balance amount = 747
Therefore, the balance amount for 28/03/20 was £ 747.
Now, On 29/03/20 the balance amount left in bank was £ 957.
To find the incoming amount for 29/03/20, use the arithmetic operation of subtraction -
Incoming Amount = New Balance - Previous Balance
Incoming Amount = 957 - 747
Incoming Amount = 210
Therefore, the incoming amount for 29/03/20 was £ 210.
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The length of the room are y2 – 5y = 750 , y(y – 5) + 750 = 0 and (y + 25)(y – 30) = 0
How to determine the expressionit is important to note that the formula for calculating the area of a rectangle is expressed as;
A = lw
Such that;
A is the area of the rectanglel is the length of the rectanglew is the width of the rectangleFrom the information given, we have that;
Length = y
Width = y - 5
Area = 750 square feet
Substitute the values into the formula
750 =y(y - 5)
expand the bracket
750 = y² - 5y
y² - 5y- 750 = 0
This is factorized to give;
(y + 250 (y - 30)
Hence, the expression is y² - 5y- 750 = 0
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