In February, it will sell 420 skirts.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A clothing store sells 300 skirts in January.
The number of skirts it sells in February is 40%,
that means,
the number of skirts,
= 300 x 1.4
= 420 skirts.
Therefore, It will sell 420 skirts.
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A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at random from this population. Assume this is an infinite population. What is the standard error of the sample mean?
The standard error of the sample nean for a population that consists of 500 observations is 1.5
How to calculate the sample mean?From the information, the population that consists of 500 observations has a mean of 40 and a standard deviation of 15.
It should be noted that the sample mean is calculated as:
= Standard deviation / ✓number
= 15 / ✓100
= 15 / 10
= 1.5
Therefore, the standard error is 1.5.
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Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
HURYY PLEASE LIKE RN
Answer:
\(\huge\boxed{\sf 252\ in.\²}\)
Step-by-step explanation:
TOP and BOTTOM:
Surface Area = 2 ( Length * Breadth)
SA = 2 ( 6 * 12 )
SA = 2 (72)
SA = 144 in. ²
FRONT and BACK:
SA = 2 ( Length * Breadth)
SA = 2 ( 3*12 )
SA = 2 (36)
SA = 72 in.²
SIDES:
SA = 2 ( Length * Breadth )
SA = 2 ( 3 * 6 )
SA = 2 (18)
SA = 36 in.²
Adding all to get the SA of rectangular prism:
= 144 + 72 + 36
= 252 in.²
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807test your knowledge :D, Thato has 1 1/4
gallons of water. He and his friends drink 3/8
of it while hiking. What part of a gallon of water do they drink?
Answer:
15/32
Step-by-step explanation:
3/8 × 1 1/4 =
= 3/8 × 5/4
= 15/32
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
What’s the name of these mathematical symbols:
1)5X+3
2)5X+8=13
NEED THESE ASAP
Answer:
he first is a numerical sentence and the second is an equation
Step-by-step explanation:
equation because there's "="
Please find the VOLUME . Will mark the brainliest be geniune no links
Answer:
Pyramid formula: V= LWH/3
224
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
The figure shown is a triangular prism
The volume of a triangular prism can be calculated by using this formula
\(V=ah\)
where a = area of base and h = height
we are already given the height ( 8 ft ) so all we need to find is the area of the base
Because this is triangular prism the base will be a triangle
The area of a triangle can be calculated using this formula
\(A=\frac{bh}{2}\) where b = base length and h = height
The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft
That being said we plug in the values into the formula
\(A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42\)
So we can conclude that the area of the base is 42 ft²
Now to find the volume
Using the formula V = ah
* plug in the values *
V = 42 * 8
42 * 8 = 336
Therefore the volume of the triangular prism is 336ft³
Explain the difference:
4 times the sum of x and y and the sum of 4 x and y
Hello!
4 times the sum of x and y
4 * (x + y)
it's a mutliplication
the sum of 4x and y
= 4x + y
it's a sum
Answer:one is multiplying other is some.
Step-by-step explanation:
4xy and =4xy
these two are
What is the diference between the
largest and the smallest 4 digit numbers
largest 4 digit number : 9999
smallest 4 digit numbers : 1000
Difference = 9999 - 1000 = 8999
Sydney’s senior picture package includes several sizes of portraits. The smallest photo is a 1.5-inch wide and 2 inch tall rectangle. The largest photo is 12 inches wide and is similar to the smallest photo. How tall is the largest photo? Show work
The height of the largest photo is 16 inches.
Sydney's senior picture package includes several sizes of portraits. The smallest photo is a 1.5-inch wide and 2 inch tall rectangle.
The largest photo is 12 inches wide and is similar to the smallest photo.
Let's assume that the largest photo's height is h, then we can say the ratio of the largest photo to the smallest photo is given as:\[\frac{h}{2}=\frac{12}{1.5}\]
Simplify the ratio:\[\frac{h}{2}=8\]
Multiplying each side by 2:\[h = 16\]
Therefore, the height of the largest photo is 16 inches.
Hence, the answer is 16.
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(50pts)Solve for x:
a
7.125
b
6
c
8
d
4.125
Answer:
b. 6
Step-by-step explanation:
\((16x + 9) \degree = 105 \degree \\(corresponding \: \angle s) \\ \\16x + 9 = 105 \\ \\ 16x = 105 - 9 \\ \\ 16x = 96 \\ \\ x = \frac{96}{16} \\ \\ x = 6\)
Solve x2 + 2x + 7 = 0 using the Quadratic Formula
The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
what is Quadratic Equation?A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
Given:
x² + 2x + 7 = 0
now, using Discriminant Method
D= √b² - 4ac
D= √4- 4(1)(7)
D= √-24
D= 2i√6
Now, x= -b± D/2a
x= -2 ± 2i√6/2
x= -2 + 2i√6/2 or x= -2 - 2i√6/2
x= -1 + i√6 or x= -1 - i√6/2
Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
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3-4: Collaboration
5 points
Max is taking out a 9.69% loan in order to purchase a $34341 car. The length of the loan is 5 years. How much will he pay in interest? (Round to the nearest cent.)
Answer:
132333
Step-by-step explanation:
Question 1 0.1 pts The initial cost of a pickup truck is $12,659 and will have a salvage value of $3,580 after five years. Maintenance is estimated to be a uniform gradient amount of $135 per year, with zero dollar for first year maintenance. The operation cost is estimated to be $0.2 per mile for 344 miles per month. If the interest rate is 12%, what is the annual equivalent cost (AEC) for the truck? Enter your answer as follow: 123456
The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.
To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.
Find the present value of maintenance costs over five years using the gradient formula:
PV maintenance = A * [(1+i)^n - (1+i- g)^n] / [i - g]where A = $135, i = 12%, g = 0, n = 5
PV maintenance = $501.21
Find the present value of operating costs over five years using the present value formula:
PV operation = C * [1 - (1 + i)^-n] / iwhere C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5
PV operation = $3,322.08
Find the EUAC using the formula:
EUAC = (initial cost + PV maintenance + PV operation) * A/Pwhere A/P = [(1+i)^n * i] / [(1+i)^n - 1]
EUAC = ($12,659 + $501.21 + $3,322.08) * 0.1464EUAC = $2,219.77Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:
AEC = (EUAC + PV salvage) * iwhere PV salvage = $3,580 / \((1+i)^5\)
AEC = ($2,219.77 + $2,267.03) * 0.12AEC = $4,308.Learn more about Cost and Estimate:
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Write an equation in slope-intercept form for the line with a slope -4/3 and a y-intercept 9.
Answer:
\(y=\frac{-4}{3}x+9\)
Step-by-step explanation:
\(y=slope*x+y intercept\)
Given a slope of -4/3 and y-intercept of 9, the equation will be:
\(y=\frac{-4}{3}x+9\).
-18 + h = 28
solve for h
PLS HELP! :)
Answer: H=46
Step-by-step explanation:
-18+h=28
you would add 18 to 28 and then that makes 46 you answer
Answer:
46
Step-by-step explanation:
18+28=46
How do you find the radius of a cylinder when you only know the surface area?
The surface area of a cylinder with circular bases of radius r and height h is equal to the sum of the areas of the two circular faces and the area of the rectangular lateral surface:
A = 2πr² + 2πrh
If you know the height h, then you can solve the quadratic equation for r.
Which is a unit rate 15 miles per gallon
Answer:
60/4
Step-by-step explanation:
Hope this helps.
Help with math problems
The vertex form of the quadratic equations in standard form are, respectively:
Case 9: y = 2 · (x + 2)² - 12
Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32
Case 11: y = 3 · (x - 4 / 3)² - 16 / 3
Case 12: y = - 3 · (x - 3)²
Case 13: y = (x - 4)² + 3
Case 14: y = (x - 1)² - 7
Case 15: y = (x + 3 / 2)² - 9 / 4
Case 16: 2 · (x + 1 / 4)² - 1 / 8
Case 17: y = 2 · (x - 3)² - 7
Case 18: y = - 2 · (x + 1)² + 10
How to derive the vertex form of a quadratic equationIn this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.
The two forms are introduced below:
Standard form
y = a · x² + b · x + c
Where a, b, c are real coefficients.
Vertex form
y - k = C · (x - h)²
Where:
C - Vertex constant(h, k) - Vertex coordinates.Now we proceed to determine the vertex form of each quadratic equation:
Case 9
y = 2 · x² + 4 · x - 4
y = 2 · (x² + 2 · x - 2)
y = 2 · (x² + 2 · x + 4) - 12
y = 2 · (x + 2)² - 12
Case 10
y = - (1 / 2) · x² - 3 · x + 3
y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]
y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)
y = - (1 / 2) · (x + 3 / 4)² + 33 / 32
Case 11
y = 3 · x² - 8 · x
y = 3 · [x² - (8 / 3) · x]
y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)
y = 3 · (x - 4 / 3)² - 16 / 3
Case 12
y = - 3 · x² + 18 · x - 27
y = - 3 · (x² - 6 · x + 9)
y = - 3 · (x - 3)²
Case 13
y = x² - 8 · x + 19
y = (x² - 8 · x + 16) + 3
y = (x - 4)² + 3
Case 14
y = x² - 2 · x - 6
y = (x² - 2 · x + 1) - 7
y = (x - 1)² - 7
Case 15
y = x² + 3 · x
y = (x² + 3 · x + 9 / 4) - 9 / 4
y = (x + 3 / 2)² - 9 / 4
Case 16
y = 2 · x² + x
y = 2 · [x² + (1 / 2) · x]
y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)
y = 2 · (x + 1 / 4)² - 1 / 8
Case 17
y = 2 · x² - 12 · x + 11
y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)
y = 2 · (x - 3)² - 7
Case 18
y = - 2 · x² - 4 · x + 8
y = - 2 · (x² + 2 · x - 4)
y = - 2 · (x² + 2 · x + 1) + 2 · 5
y = - 2 · (x + 1)² + 10
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Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected 840 from ticket sales, how many adult tickets were sold?
The drama class sold____ adult tickets.
Answer:
about 80
Step-by-step explanation:
QUESTION 5 of 10: You are evaluating a pitch, and the founder says his product has a gross margin of $45 per unit and he has fixed
expenses of $50,000. What is his break-even sales volume?
a) 923
b) 972
ОООО
c) 1,112
d) 1.280
Answer:
1,112
Step-by-step explanation:
923*45=50040
His break-even sales volume will be 1,112.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The founder says his product has a gross margin of $45 per unit
And, He has fixed expenses of $50,000.
Now,
Since, The founder says his product has a gross margin of $45 per unit
And, He has fixed expenses of $50,000.
Hence, The break-even sales volume = 50,000 / 45
= 1,112
Thus, His break-even sales volume will be 1,112.
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A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
Answer:
1 lb 8 oz
Step-by-step explanation:
The weight gain was the difference between the current weight and the beginning weight: 20 lb 2 oz less 18 lb 10 oz. Since 10 oz is less than 2 oz, we must 'borrow" 1 lb, or 16 oz, to be able to perform the subtraction. Thus, 20 lb 2 oz becomes 19 lb + 16 oz + 2 oz, or 19 lb 18 oz.
Then the indicated subtraction comes out to 1 lb 8 oz, which represents the baby's weight gain over the past month.
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
1. In which set of ordered pairs is y a function of x?
A. {(1, 2), (0, 1), (0, 2), (1, 1)}
B. {(4, 1), (3, 1), (2, 1), (1, 1)}
C. {(1, 4), (1, 3), (1, 2), (1, 1)}
D. {(2, 5), (3,6), (6,5), (2, 7)}
Please help :(
What system of equations is shown on the graph below?
Answer:
don't know
Step-by-step explanation:
you didn't put any options g
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
Write the pair of fractions has a pair of fractions with the common denominator 1/3 and 3/4
Answer:
4/12 and 9/12
Step-by-step explanation:
Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 80 rolls. The table shows the frequency of each number rolled.
Outcome 1 2 3 4 5 6
Frequency 15 11 14 15 10 15
Based on the table, what is the experimental probability that the number rolled was odd?
41 over 80
39 over 80
5 over 12
1 over 2
39 over 80 will be the probability of getting desired outcomes.
Finding the total number of rolls that produced an odd number and dividing that by the total number of rolls will yield the experimental probability that the number rolled was odd.
80 rolls are listed as the total. We sum the frequency of the odd numbers to determine the total number of rolls that produced an odd number:
Total frequency of odd numbers = frequency of 1 + frequency of 3 + frequency of 5
= 15 + 14 + 10
= 39
the following is the experimental likelihood that the number rolled was odd:
The frequency of odd numbers divided by the total number of rolls gives the probability of rolling an odd number.
= 39 / 80
Therefore, the probability will be 39 over 80.
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WILL MARK BRAINLYIST
Which description best explains the domain of (g circle f) (x)?
the elements in the domain of f(x) for which g(f(x)) is defined
the elements in the domain of f(x) for which g(f(x)) is not zero
the elements in the domain of g(x) for which g(f(x)) is defined
the elements in the domain of g(x) for which g(f(x)) is not zero
The correct description that best explains the domain of (g o f) (x) is: The elements in the domain of f(x) for which g(f(x)) is defined.
How to determine the domain of the fucntionFrom the question, we have the following parameters that can be used in our computation:
(g o f) (x)
The expression (g o f)(x) is a composite function
The domain of (g o f)(x) is the set of all possible inputs x for which the composition (g o f)(x) is defined.
For the composition (g o f)(x) to be defined, it is necessary that the input x belongs to the domain of f(x), and the output of f(x) belongs to the domain of g(x).
Hence, the domain of (g o f)(x) consists of all the elements in the domain of f(x) for which g(f(x)) is defined
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