Hence , the store owner's profit will be $ 102 .
In general, the profit is outlined because the quantity gained by merchandising a product, that ought to be over worth} price of the merchandise. it's the gain quantity from any reasonably enterprise. In short, if the (SP) of the merchandise is over the value price (CP) of a product, then it's thought of as a gain or profit. It describes the monetary profit obtained if the revenue from the enterprise exceeds the taxes, expenses, and so on, that square measure concerned in sustaining business activities.It is providing a store owner orders twenty five calculators that price $30 every.
Original cost = number of calculators × cost per calculator
= 25 × 30
= $ 750
Sales revenue = 22 × 39
= $ 858
Return loss = 3 × 2
= $ 6
Profit = Sales revenue - ( Original cost + Return loss )
= 858 - ( 750 + 6 )
= 858 - 756
= $ 102
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The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.7 years, with a standard deviation of 3.2 years. The winner in one recent year was 31 years old.
The transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.
What is mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations).
Given:
Population mean,
μ=27.7 years
Population standard deviation,
σ=3.2 years
Winner's age =31 years
According to given question we have
If "x" represents the age of the winner then the z-score for "x":
z=x−μ/σ
a) Transforming the winner's age to a z-score
z=31−27.7/3.2
=1.03
(b) Interpretation of the z-score:
The winner's age of 31 years is 1.03 standard deviation below the mean age of the winners.
Therefore, the transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.
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To find the
a) Transforming the winner's age to a z-score
(b) Interpretation of the z-score
is missing
Pupils Per Teacher The frequency distribution shows the average number of pupils per teacher in some states of the United States. Find the variance and standard deviation for the data. Round your answers to one decimal place. Class limits Frequency 11–13 1 14–16 16 17–19 11 20–22 7 23–25 1 26–28 2
The variance and standard deviation for the given frequency of pupils per teacher in some states of US is
Variance= 4.62 = 4.6
Standard Deviation = 2.14 = 2.1
The frequency distribution shows the average number of pupils per teacher in some states of the United States.
Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data. On the other hand, if data consists of individual data points, it is called ungrouped data. The sample and population variance can be determined for both kinds of data.
The standard deviation(σ) of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
That means Standard Deviation = √variance.
For the given data the sum of frequencies(ni) = 1+16+11+7+1+2= 38.
Midpoint(mi) is 12,15,18,21,24,27.
ni * mi = 12,240,198,147,24,54.
Sum of ni * mi = 675.
Mean (u) = 17.76
mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.
(mi - u)^2 is 33.17,7.61,0.057,10.49,38.93,85.37.
Sum of (mi - u)^2 = 175.62.
Variance = Sum of (mi - u)^2 / sum of frequencies
=> 175.62/38
=> 4.62 = 4.6.
Standard deviation = √variance.
=> √4.62
=> 2.14 = 2.1.
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Question 3(Multiple Choice Worth 2 points)
(Order of Operations with Radicals LC)
Simplify the expression.
20(6) − 7
113
20
−20
−113
The simplification of the expression 20(6) - 7 using the laws of equation gives 113
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
20(6) - 7
Firstly, solve the equation inside the bracket to get:
120 - 7
Taking the difference of the two terms gives:
113
The simplification of the expression 20(6) - 7 using the laws of equation gives 113
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Find the value of x.
37%
53°
X°
139°
Answer:
Step-by-step explanation:
x + 139 + 37 + 53 = 360
x + 229 = 360
x = 360-229
x = 131 degrees
Which Are the correct answers A B C D?
Answer:
A. You can write the number as a Ratio of two entegers
D. You know what the next number is
If f(x) = 5x + 40, what is f(x) when x = –5?
–9
–8
7
15
The value of f(x) when x equals -5 is 15. Option D
What is a function?A function can be defined as an expression, law or rule that explains the relationship between two variables;
The independent variableThe dependent variableGiven the function;
f(x) = 5x + 40
To determine the value of the function when x = - 5, we have to substitute the value of x as -5 in the function.
With this, we have;
f(-5) = 5(-5) + 40
Now, expand the bracket
f(-5) = -25 + 40
Add the values, we have;
f(-5) = 15
We can see that the value of the function with the input of the variable x as -5 is 15
Thus, the value of f(x) when x equals -5 is 15. Option D
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Factor completely.
81p^8 - 100
=
Answer:
(9p^4+10)(9p^4−10)
Suppose that Nacho takes a multiple choice test. The test has 4 questions. Each question has 4 choices.
What is the probability that Nacho will get all 4 questions wrong?
The probability that Nacho will get all 4 questions wrong will be 0.3164.
How to illustrate the information?From the information, Nacho takes a multiple choice test, the test has 4 questions and each question has 4 choices.
The probability of getting the correct option is 1 out of 4 which is 0.25 and the incorrect option is 0.75.
Therefore, the probability that Nacho will get all 4 questions wrong will be:
= (0.75)⁴
= 0.3164
Therefore, the probability that Nacho will get all 4 questions wrong will be 0.3164.
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May I please get some help on my math question
how to measure the area of a half moon
Answer:
[tex]\frac{\pi r^2}{2}[/tex]
Step-by-step explanation:
The area of a semicircle is half the area of a circle
The area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle, and [tex]\pi[/tex] is a mathematical constant, approximately 3.14. The area of the semicircle is half the area of the circle, or [tex]\frac{\pi r^2}{2}[/tex].
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
Determine the amount of Net Income Adventure Travel will report for the year ending December 31, 20XX. Specify whole number.
The net income of Adventure Travel using its Adjusted Trial Balance for Year Ended December 31, 20XX, is $14,640
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expense=32,800+16,800++3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
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I forgot how to do this graph thing with algebra so If you could please explain it to me that would be great :)
Answer: D
Step-by-step explanation: It said the grandparents were less than 89 years old, if it said that the grandparents that were 89 and younger had remembered that's when you would use a solid circle because the 89 would be included. But since 89 isn't included then it's an open circle.
Find all the integer solutions of each system of intequalities. 12a - 37 > 0, 6a ≤ 42. Any right answer is named brainliest !
Answer:
For 12a - 37 > 0 answer is a > 37/12
For 6a ≤ 42 answer is a ≤ 7
Step-by-step explanation:
what’s the measure of angle CEB?
How can you solve real world problems involving integers
We use Integers in everyday life when we solve real-world problems.
Let’s understand a real-life problem using integers.
Christian borrowed $1000 to buy a computer. After some time, she has paid back $250. How much does Christian still owe?
First, we will write a simple equation to represent the problem.
Let the amount that Christian still owes = 'x'
1000 = 250 + x
Now, we will rearrange the equation to isolate .
Then, solve for x.
The answer is 750.
Christian still owes = $750.
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15 feet
The perimeter is
E
Find the perimeter and area of the square pictured above.
The area is
0
feet.
square feet.
Answer:
Step-by-step explanation: You could try to times 15 by each side or add them or turn it into an expression like E*15=0
Maya and Praisy are planting corns on a same farm. Maya plants 4 rows and Praisy plants 6 rows. If Mayas corns are ready to be picked in 8 weeks, how many weeks will it take Praisys corn to ready?
It will take 12 weeks for Praisys corn to be ready for picking.
We have been given that,
Maya plants corns In = 4 rows
Praisy plants corns in = 6 rows
Maya corns ready to be picked in = 8 weeks
We have to find the number of weeks will it take Praisys corn to be ready for picking.
To find we will use the unitary method that is,
4 rows = 8weeks
6 rows = 8/4*6 weeks
= 12 weeks
Thus 12 weeks will it take Praisys corn to be ready for picking.
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The monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year. The Bainters want to calculate their monthly rent over time.
What is an appropriate way to calculate the monthly rent over time?
Your answer should include
a specific strategy or model that you could use
an explanation of how you would use that model to solve the problem
The appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
How to calculate the value?From the information, it was stated that the monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year and that the Bainters want to calculate their monthly rent over time.
Therefore, the appropriate expression will be:
= 1190 × (1 + 1.7%)^n
where n = number of years
= 1190 × 1.017^n
Therefore, the appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
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A researcher wants to estimate the proportion of depressed individuals taking a new anti-depressant drug who find relief. A random sample of 200 individuals who had been taking the drug is questioned; 152 of them found relief from depression. Based upon this, compute a 95% confidence interval for the proportion of all depressed individuals taking the drug who find relief. Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Lower Limit:
Upper Limit:
Using the z-distribution, the limits of the 95% confidence interval are given as follows:
Lower: 0.70.Upper: 0.82.What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
For this problem, the parameters are given as follows:
[tex]n = 200, \pi = \frac{152}{200} = 0.76[/tex]
Then the bounds are given as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 1.96\sqrt{\frac{0.76(0.24)}{200}} = 0.70[/tex][tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 1.96\sqrt{\frac{0.76(0.24)}{200}} = 0.82[/tex]Which are the lower and upper limits, respectively.
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Késhaun conducted an experiment using a toy car and ramps of various
heights. He measured the distance, in centimeters (cm), the toy car
traveled from the end of the ramp. He also recorded the height, in
centimeters (cm), of the ramp. He found that the toy car traveled 64 cm
when the ramp height was 15 cm. The toy car traveled 112 cm when the
ramp height was 26 cm.
Write the equation of the line, in standard form, where x represents the
ramp height, in cm, and y represents the distance, in cm, the toy car
travels.
Step-by-step explanation:
we have 2 points on the line :
(15, 64) and (26, 112)
the standard form I assume is the slope-intercept form :
y = ax + b
"a" being the slope, "b" being the y-intercept (the y value when x = 0).
the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.
the direction does not matter, but when picking one for one coordinate difference calculation, we have to use the same direction for the other.
I prefer to go from left to right.
so, in our case here
x changes by +11 (from 15 to 26).
y changes by +48 (from 64 to 112).
the slope "a" is +48/+11 = 48/11
so, our equation looks already like this :
y = 48/11 x + b
now, we use any of our points to get b.
let's pick (15, 64) :
64 = 48/11 × 15 + b = 720/11 + b
704/11 = 720/11 + b
-16/11 = b
and our full equation is
y = 48/11 x - 16/11
or
y = 1/11 × (48x - 16/11)
or
y = 16/11 × (3x - 1)
ASAP!!!!!!!!!!!!!!!!!!!!! 40 points!!!Create your own division problem and show how to use the Remainder Theorem to determine whether a binomial is a factor of a polynomial function.
Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6
What is a division problem?A division problem is an expression or an equation that involves the quotients of numbers or polynomials
How to create the division problem?To create the division problem, we make use of the following expression
(x^2 + 5x + 6)/(x + 3)
Using the remainder theorem, we have
Dividend = x^2 + 5x + 6
Divisor = x + 3
Set the divisor to 0,
So, we have
x + 3 = 0
This gives
x = -3
Substitute x = -3 in the dividend to get the remainder
So, we have
Remainder = (-3)^2 + 5(-3) + 6
Evaluate
Remainder = 0
Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6
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Look at BDC and ADB in the image below.
8
D
Which of the following is the best description for this pair of angles?
O complementary
Oright
O supplementary
O acute
Answer: right
Step-by-step explanation:
Is the following a power function, a polynomial, both, or neither?
f(x) = -5x² + 3x +3
The variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.
Polynomial function also describe:A polynomial function is one that uses only non-negative integer powers or positive integer exponents of something like a variable in an equation such as the quadratic equation, cubic equation, and so on. For illustration, 2x+5 is a polynomial with an exponent of one.
What constitutes a polynomial?A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).
According to the given equation:f(x) = -5x² + 3x +3
Make the leading coefficient positive:
= 5x² - 3x -3
identify the coefficient:
a = 5, b = -3, c = -3
substituting into the:
[tex]$x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}$[/tex]
[tex]$x=\frac{-(-3)+\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$[/tex] or [tex]$x=\frac{-(-3)-\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$[/tex]
[tex]$x=\frac{3+\sqrt{3^2+4 \times 5 \times 3}}{2 \times 5}$[/tex] or
[tex]$x=\frac{3+\sqrt{9+4 \times 5 \times 3}}{2 \times 5}$[/tex]
[tex]$x=\frac{3+\sqrt{69}}{10}$[/tex]
x = ± [tex]\frac{3+\sqrt{69}}{10}$[/tex]
As we can see that the general form of a power function is f(x) = axⁿ , where a is a non zero co-efficient and 'n' is a real number.
so the given function is not a power function.
So,
the variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.
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Find the missing numbers 2, 1, 0, ?, ?,.....
Answer:
Step-by-step explanation:
It's just a countdown sequence
2 1 0 -1 -2 ....
Write 8.977 as a ratio of two integers.
Answer:8977/1000
Step-by-step explanation:
The value of 8.977 as a ratio of two integers would be equal to 8977/1000
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to Write 8.977 as a ratio of two integers.
We know that negative divided by a negative is positive, then;
8.977 can be written as;
8977/1000
Therefore, The value of 8.977 as a ratio of two integers can be written as
8977/1000
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interval notation, and domain and range
The domain and the range of the graph in interval notation are (-∝, ∝) and [-3, ∝) respectively
What is the domain and the range of a function?The domain of the function is the set of input values of the graph while the range of a function is the set of output values of the graph.
How to determine the domain and the range of the function?The graph represents the given parameter
Based on the definition above, the range of a function is the set of y values of the graph while the domain is the set of x values of the graph
On the graph, we can see that:
The x values extend indefinitely on the graph;
This means that the domain is (-∝, ∝)
While y values start from -3 and increases up
This means that the range is [-3, ∝)
Hence, the domain and the range of the function in interval notation are (-∝, ∝) and [-3, ∝) respectively
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YOU WILL BE GIVEN 95 POINTS!!! PLEASE AWNSER ASAP!!!
A 150-pound person uses 5.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 170 calories?
Answer:
If it takes one minute to use 5.7 calories, it’ll take 190/5.7 minutes to use 190 calories. This simplifies to 100/3 minutes. So this person must walk for 33 minutes and 20 seconds to use 190 calories (assuming the rate of calorie usage remains constant throughout).
WILL MARK BRAINIEST AND GIVE POINTS PLS SOLVE THESE THREE PROBLEMS
Answer: 1. -4<n<4
2. n<-3 or n>19
3. n<=-36 or n>=44
Step-by-step explanation:
n=number
units from a number is measured using absolute value sign
1. 4 units from 0: |n-0|<4 ==> |n|<4
n<4, n>-4 ==> -4<n<4
2. 11 units from 8: |n-8|>11
n-8>11
n-8+8>11+8
n>19
n-8<-11
n-8+8<-11+8
n<-3
n<-3 or n>19
3. half a number is at 2 units from 20: |n/2-2|>=20
n/2-2>=20
n/2>=22
n>=44
n/2-2<=-20
n/2<=-18
n<=-36
n<=-36 or n>=44
A square rug has an area 77 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
Answer:
s = √77
it is not rational since 77 not a perfect square
Step-by-step explanation:
area = s^2 = s * s = 77
==> s = √77
The length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.
A. Write the perimeter y of the walkway in terms of x.
B. Determine the slope of the graph in part A. For each additional one meter increase in the width of the walkway, determine the increase in its perimeter.
The perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.
The perimeter will be calculated as:-
Perimeter = 2 ( W + L )
Perimeter = 2 [ ( 15 + 2x ) + ( 10 + 2x ) ]
Perimeter = 2 ( 10 + 2x + 15 + 2x )
Perimeter = 2 ( 25 + 4x )
y = 50 + 8x
Compare the equation with the general form of the equation:-
y = 50 + 8x
y = mx + c
Slope = 8
Therefore, the perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
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