Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?
Answers
So 19% in decimal is 0.19
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)
Answer:
$22.17
Step-by-step explanation:
Please see attachment. Calculations executed in black ink. Justification explained in green ink. Solution highlighted in blue.
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Related Questions
14+3n=8n-3(n-4) this is really hard please help me
Answers
distribute
14+3n=8n-3n+12
add like terms
14+3n=5n+12
subtract 3n from both sides
14=2n+12
subtract 12 from both sides
2=2n
divide both sides by 2
n=1
Hope this helps!!
Another tent has the perimeter of 7.2 metres. If the width is 1.3 metres, what is the length?
Answers
P = 7.2
W = 1.3
7.2 = 2(1.3 + L)
7.2 = 2.6 + 2L
7.2 - 2.6 = 2L
4.6 = 2L
4.6/2 = L
2.3 = L <== length is 2.3 m
Answer: Length of tent would be 2.3 meters.
Step-by-step explanation:
Since we have given that
Perimeter of tent = 7.2 meters
Width of tent = 1.3 meters
Since we have given that
Perimeter = 2( length + width)
[tex]7.2=2(Length+1.3)\\\\\dfrac{7.2}{2}=Length+1.3\\\\3.6=Length+1.3\\\\3.6-1.3=Length\\\\2.3\ m=Length[/tex]
Hence, Length of tent would be 2.3 meters.
(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above 100? (round your answer to one decimal place.)
Answers
To get what percent of these 78 students have scores above 100 we conduct a normal distribution probability of the data.
P(x > 100) = P(z > (100 - 100)/sd) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 0.5 = 50%
What is .0091 rounded to thousands?
Answers
a triangle with a base of 12 millimeters and height of 11 millimeters
Answers
Area= 132
7x2+3[81-(4x6)]
Simplify
Answers
7x2+3-57
14+3-57
17-57
-40
In Christopher Marlowe's The Tragical History of Doctor Faustus, why did Faustus begin to believe that human salvation was impossible? Faustus first began to believe that human salvation was impossible because In addition, he had
Answers
In addition, he had been misled by Mephastophills, who caused him to misread the scriptures. Mephastophills is the Devil, and obviously the Devil won't tell the truth because he wants to collect more souls to torture in his realm. Faustus fell for his tricks and was mislead to misinterpret the scriptures, which lead to him losing his soul ultimately.
Answer:
he read the scripture and saw that all human beings sin and are doomed
Step-by-step explanation:
A small piece of metal weighs 0.77 gram. What is the value of the digit in the tenths place
Answers
Ray
OC
divides ∠AOB into two angles. Find the measurement of ∠AOC, if m∠AOB = 155°, and m∠AOC is by 15° greater than m∠COB.
Answers
We are given that:
m∠AOB = m∠AOC + m∠COB
We are also given that:
m∠AOC = m∠COB + 15
m∠AOB = 155
Therefore:
155 = m∠COB + 15 + m∠COB
2 m∠COB = 140
m∠COB = 70°
and,
m∠AOC = m∠COB + 15 = 85°
Answers:
m∠COB = 70°
m∠AOC = 85°
In a certain town, 22% of voters favor a given ballot measure. for groups of 21 voters, find the variance for the number who favor the measure.
a. 1.9
b. 13
c. 4.6
d. 3.6
Answers
The variance for the number of voters who favor the ballot measure in groups of 21 is calculated using the formula for a binomial distribution, which yields an answer of 3.78. The closest option to this value is 3.6, answer option d.
Explanation:In the question about a town where 22% of voters favor a given ballot measure, we are asked to find the variance for the number of voters who favor the measure in groups of 21 voters. To calculate the variance, we use the formula for the variance of a binomial distribution, which is np(1-p), where 'n' is the number of trials (voters in this case), 'p' is the probability of a voter favoring the measure, and '1-p' is the probability of a voter not favoring the measure.
Using the information provided:
n = 21 (the number of voters in a group)p = 0.22 (the probability of a voter favoring the measure)Thus, the variance (Var) is:
Var = np(1-p) = 21 × 0.22 × (1 - 0.22) = 21 × 0.22 × 0.78 = 3.78
The closest answer to 3.78 is 3.6, which is option d.
Variance formula: [tex]\(npq\)[/tex]. Substitute [tex]\(n = 21\), \(p = 0.22\), \(q = 0.78\)[/tex]. Calculate to get variance. Answer: d. 3.6
To find the variance for the number who favor the measure in groups of 21 voters, we can use the binomial distribution formula.
The variance of a binomial distribution is given by [tex]\(npq\)[/tex], where:
- [tex]\(n\)[/tex] is the number of trials (number of voters in each group),
- [tex]\(p\)[/tex] is the probability of success (proportion of voters favoring the measure), and
- [tex]\(q\)[/tex] is the probability of failure (proportion of voters not favoring the measure).
Given:
- [tex]\(n = 21\)[/tex],
- [tex]\(p = 0.22\)[/tex] (22% favor the measure), and
- [tex]\(q = 1 - p = 1 - 0.22 = 0.78\)[/tex],
Let's calculate the variance:
[tex]\[ \text{Variance} = npq = 21 \times 0.22 \times 0.78 \][/tex]
[tex]\[ \text{Variance} = 21 \times 0.1716 \][/tex]
[tex]\[ \text{Variance} = 3.5976 \][/tex]
Rounded to one decimal place, the variance is approximately [tex]\(3.6\)[/tex].
So, the correct answer is d. 3.6.
1/5 of the animals at a zoo are monkeys. 5/7 of the monkeys are male. What fraction of the animals at the zoo are male monkeys?
Answers
Answer : The fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]
Step-by-step explanation :
As we are given that:
Fraction of animals at a zoo are monkeys = [tex]\frac{1}{5}[/tex]
Fraction of monkeys are male = [tex]\frac{5}{7}[/tex]
So,
Fraction of the animals at the zoo are male monkeys = Fraction of animals at a zoo are monkeys × Fraction of monkeys are male
Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{5}\times \frac{5}{7}[/tex]
Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{7}[/tex]
Thus, the fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]
Evaluate the expression for the given values.
mx−y when m=1, x=5x=5, and y=2
Enter your answer in the box.
Answers
Step 2) Replace m with 1 (since m = 1)
Step 3) Replace x with 5 (since x = 5)
Step 4) Replace y with 2 (since y = 2). After this step we use PEMDAS to evaluate.
Step 5) Multiply (the M in PEMDAS)
Step 6) Subtract (the S in PEMDAS). Note how the S comes after the M. So subtraction is done after multiplication.
----------------------------------------------------------------
Step 1) m*x - y
Step 2) 1*x - y
Step 3) 1*5 - y
Step 4) 1*5 - 2
Step 5) 5 - 2
Step 6) 3
----------------------------------------------------------------
So the final answer is 3
5n=35 what is n equal to?
Answers
5n=35 what is n equal to?
5n = 35
Isolate the number 5, why? because all the variables should be aside, also, we are finding the "n".
n = 32/5
n = 5.
N equals to 5.
Hope I helped (:
Have a great day!
Zach is 3 years older than twice his sister Michelle's age. Let m represent Michelle's age. Write an expression in terms of m to represent Zach's age.
Answers
zack is : 2m + 3
Give the derivative of f(x) = arctan(e^(5x)) at the point where x=0
Answers
[tex]f'(x)=\dfrac{(e^{5x})'}{1+(e^{5x})^2}=\dfrac{5e^{5x}}{1+e^{10x}}[/tex]
[tex]f'(0)=\dfrac5{1+1}=\dfrac52[/tex]
The derivative of f(x) = arctan(e^(5x)) at x=0 is 2.5, using chain rule and the derivative of the arctan function.
Explanation:The function given is f(x) = arctan(e^(5x)). To find its derivative at the point where x=0, we have to use the chain rule and the derivative of the arctan function.
Firstly, the derivative of arctan(u) is 1 / (1 + u^2). Therefore, if u = e^(5x), then the derivative of arctan(e^(5x)) is: 1 / (1 + (e^(5x))^2).
Secondly, because u = e^(5x), the derivative of u is 5e^(5x). We incorporate this using the chain rule to get the derivative: 5e^(5x) / (1 + (e^(5x))^2).
Finally, substitute x=0 into the derivative equation. We find that the derivative of the function at x=0 is: 5 / (1 + 1) = 2.5.
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lynne took a taxicab from her office to the airport. she had to pay a flat fee of $2.05 plus $0.90 per mile. the total cost was $5.65. how many miles was the taxi trip?
Answers
0.90m = 5.65 - 2.05
0.90m = 3.60
m = 3.60 / 0.90
m = 4 <=== the taxi trip was 4 miles
The distance traveled by the taxi on trip is 4 miles.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Flat fee of a taxicab = $2.05
Fees per mile = $0.90
The total cost = $5.65
Distance traveled by the taxi on trip is
⇒ [tex]\frac{5.65-2.05}{0.90}[/tex]
⇒ [tex]\frac{3.60}{0.90}[/tex]
⇒ [tex]4[/tex]
Hence we can conclude that the distance traveled by the taxi on trip is 4 miles.
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Let y be a random variable with p(y) given in the accompanying table. find e(y ), e(1/y ), e(y 2 − 1), and v(y ). y 1 2 3 4 p(y) .4 .3 .2 .1
Answers
This answer pertains to the computation of expected and variance values for a discrete random variable y using its given probability distribution function. Relevant principles include multiplying each value of y with its corresponding probability and then summing the products for the expected value, and further operations for other expected values and variance.
Explanation:The subject pertains to finding the expected and variance values of a discrete random variable y, based on its probability distribution function (PDF). In this case, we have four values for y (i.e., 1, 2, 3, and 4) with corresponding probabilities given as .4, .3, .2, and .1 respectively.
E(y) or the expected value of y is obtained by multiplying each value of y with its corresponding probability and then summing the products, according to the formula E(y) = Σ y*P(y).
e(1/y) is the expected value of the reciprocal of y, obtained similarly by multiplying each 1/y with its corresponding P(y) and summing up the products.
e(y 2 − 1) represents the expected value of y-squared minus one, obtained by squaring each y, subtracting one, multiplying with the corresponding P(y), and then adding the results.
Finally, for v(y) or the variance of y, one would first need to find the expected value of y-squared [E(y^2)], and then use the identity v(y) = E(y^2) - {E(y)}^2 to compute the variance.
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A concrete walk of uniform width is to be laid around a rectangular flower bed that is 60 feet long and 30 feet wide. If the area of the walk is to be 279 square feet, what is the width of the walk?
Answers
(30 + 2x)(60 + 2x)= 279 + 1800 then we simplify to 4x^2 +180x-279=0, factor to (2x-3)(2x+93)=0. Now we solve for x. 2x-3=0 gives us x=1.5 and 2x-93=0 gives us -93/2 which is negative and we know distance is positive so that solution is omitted. We get that the width around the flower garden is 1.5 ft.
will give BRAINEST
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
Answers
y = 1/2x + 3
x + 1 = 1/2x + 3
x - 1/2x = 3 - 1
1/2x = 2
x = 2 / (1/2)
x = 2 * 2/1
x = 4
y = x + 1
y = 4 + 1
y = 5
so ur solution is : (4,5)
What proportion of a normal distribution is located between z = 0 and z = +1.50? 0.4332 0.8664 0.0668 0.9332?
Answers
Why is it helpful to write a number as a product of primes?
Answers
Gary made 20 treat bags for his Halloween party. In every 3rd bag he put lollipops, in every 4th bag he put Hershey Kisses and in every 5th bag he put fake eyeballs. How many of the 20 bags have all three items in them? ( By the way this is an LCM problem. I need help asap plz.)
Answers
3 - 6 - 9 - 12 - 15 - 18 - 21 - 24 - 27 - 30 - 33 - 36 - 39 - 42 - 45 - 48 - 51 - 54 - 57 - 60
4 - 8 - 12 - 16 - 20 - 24 - 28 - 32 - 36 - 40 - 44 - 48 - 52 - 56 - 60
5 - 10 - 15 - 20 - 25 - 30 - 35 - 40 - 45 - 50 - 55 - 60
SOOOO that means the LCD is 60 c:
( Basically, to find the LCD all you gotta do is count by whichever number is the denominator until they match, in this case, it was 60 )
You can do the rest :D
Write the equation in standard form of the circle with radius 5 and center 0,3
Answers
What is the value of n?
9×27+2×31-28= n
Answers
[tex]9(27) + 2(31) = n \\ \\ 9(27) = 243 \\ \\ 2(31) = 62 \\ \\ 28 = -28 \\ \\ \\ 243 + 62 + (-28) = n \\ \\ n = 277 [/tex]
Good luck on your assignment and enjoy your day
~[tex]MeIsKaitlyn:)[/tex]
n=277
Hope this will help!
Solve the system by substitution . 2x+y=-11 3x-4y=11
(3,5)
(-5,-3)
(-3,-5)
(5,3)
Answers
y = -2x - 11
3x - 4y = 11
3x - 4(-2x - 11) = 11
3x + 8x + 44 = 11
11x = 11 - 44
11x = - 33
x = -33/11
x = -3
y = -2x - 11
y = -2(-3) - 11
y = 6 - 11
y = - 5
solution is (-3,-5) <==
What is the answer to 4+(-1 2/3)
Answers
12/3 - 5/3 = 7/3
7/3 is your answer
hope this helps
How many gallons of 20% antifreeze should be mixed with 10 gallons of 92% antifreeze to obtain a 65% antifreeze mixture?
Answers
10*92 + G*20 = (10+G)*65
I really need help on this
Answers
3) Linda started taking piano lessons. She had to practice 1 3/4 hours each day. If after only 8 days Linda decided she wanted to stop, how many hours did she take lessons?
Answers
Determine the unit rate of a marathon runner who travels 5/2 miles in 1/4 hour.