Ivan would expect to make $43.67 in profit if he had 50 customers.
How much profit would Ivan expect to makeFrom the question, we have the following parameters that can be used in our computation:
Expected Profit = 1.45 • Customers – 28.83.
If Ivan had 50 customers, using the least squares regression equation, the expected profit would be:
Expected Profit = 1.45 * 50 - 28.83
So, we have
Expected Profit = 72.5 - 28.83
Evaluate the difference
Expected Profit = 43.67
Hence, the expected profit is $43.67
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Complete question
Ivan has a lemonade stand. He keeps records of his daily profits and how many customers he had that day. The scatter plot shows his profits versus the number of customers for 25 days.
The least squares regression equation is:
Expected Profit = 1.45 * Customers - 28.83.
How much profit would Ivan expect to make if he had 50 customers?
SOLVING EQUATIONS Solve the equation. Check your solution.
49. b+7+12=30
for two batches the ratio is 6 cups of flour to 2 cups of water for every 3 cups of flour you need 1 cup of water the ratio 3:1 is maintained
The ratio of cups of flour to water for 6 batches is 18:6
18:6 = 3:1
The ratio is maintained.
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,
Two batches:
The ratio of cups of flour to water.
= 6: 2
= 3:1
Now,
For 1 batch.
The ratio of cups of flour to water.
= 3 : 1
Now,
For m batches.
The ratio of cups of flour to water.
= 3m : 1m
So,
For m = 6
The ratio of cups of flour to water.
= 18 : 6
Thus,
The ratio of cups of flour to water for 6 batches is 18:6.
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The complete question.
For two batches the ratio is 6 cups of flour to 2 cups of water,
This means for every 3 cups of flour, you need 1 cup of water.
The ratio 3:1 is maintained.
Find the ratio for 6 batches
10x^2-x-2=0 solve by factoring
Here is some information about some temperatures in Great Britain in January.
Maximum Temp (°C) Minimum Temp (°C)
-8
-1
0
Glasgow
Cardiff
Exeter
b)
2
6
8
a) Which city is warmest in January?
How much colder is the minimum temperature in Glasgow
than the minimum temperature in Cardiff?
Exeter
c) Which city has the biggest difference between the maximum
and minimum temperatures?
°C
A customer paid goods on may 12 2018. The company invioced deliver goods
As per the discount, the customer will only need to pay P4,950 on May 12.
Discounts are a common practice in business transactions, where the seller offers a reduction in the price of goods or services as an incentive for the buyer to make a purchase.
The terms of the sale are as follows: 2/10, 1/15, n/30. This means that the customer is entitled to a 2% discount if they pay within 10 days, or a 1% discount if they pay within 15 days. Otherwise, the full amount is due within 30 days.
The customer makes a partial payment of P1,000, which means that they still owe P5,000. However, since the discount is only given upon full payment, the customer is not eligible for any discounts at this point.
Assuming that the customer pays the balance on May 12, they will have taken 11 days to make the payment. Since this is within the 15-day discount period, they are entitled to a 1% discount.
The calculation of the discount is as follows: P5,000 x 1% = P50. Therefore, the customer will only need to pay is calculated as,
=> P5,000 - P50 = P4,950
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Complete Question:
On May 1, RVQ Company sold goods for P6,000 on terms of 2/10, 1/15, n/30. Customer made a partial payment of P1,000 discounts are given only upon full payment of an account. The customer pays the balance on May 12, RVQ will receive on May 12 the amount of
A rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. Tyee wants to rent a car, knowing that:
Answer:
74.90d + 0.13m = Total cost of the car rental
Step-by-step explanation:
Hmmm you didn't give enough information but....
let d represent the number of days
let m represent the number of miles driven
74.90d + 0.13m = Total cost of the car rental
For example Tyee rents the car for 2 days and drives 100 miles
149.8 + 13 = Total cost of the car rental.
$162.8 is the Total cost of the car rental.
-Identity the measures of the reference angle for 521°.
-Identify the measure of the largest negative angle co-terminal with 521°
The reference angle would be 155 degrees.
What is reference angle?An angle's reference angle is the measure of the smallest, positive, acute angle formed by the terminal side of the angle and the horizontal axis.
The positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants.
The reference angle is acute angle, it must be < 90°.
The terminal side lies in Quadrant II.
The positive measure is:
=180-25
=155°.
And the negative measure is:
= 155-360
= -205°.
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Shape ABCD is a rectangle.
C is the point with coordinates (0,-8)
The equation of the straight line through A and B is 2y + x = 4. Find the equations of the lines
DC, AD and BC.
Equation of line DC is y = -1/2 x - 8
Equation of line AD is y = 2x + 2
Equation of line BC is y = 2x - 8
How to find the equation of the linesThe equation of the line 2y + x = 4 is arranged in slope intercept form to have
y = -x/2 + 2
The slope is -1/2
with a slope of -/2 and points (0, -8) line DC is written as
y - -8 = -1/2 (x - 0)
y + 8 = -1/2 x
y = -1/2 x - 8
Equation of line AD
line AD is a perpendicular line to line DC hence the slope is negative reciprocal of the slope of line DC
slope = 2
point A(0, 2) line AD is written as
y - 2 = 2 (x - 0)
y - 2 = 2x
y = 2x + 2
Equation of line BC
line BC is a parallel to line AD hence the slopes are equal
slope = 2
point C (0, -8) line AD is written as
y - - 8 = 2 (x - 0)
y + 8 = 2x
y = 2x - 8
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(SAT Prep) Find the value of x.
In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick five different numbers from 1 to 51
and one number from 1 to 42. -
A player wins a minimum award of $400 by correctly matching four numbers drawn from the white balls (1 through 51) and
matching the number on the gold ball (1 through 42). What is the probability of winning the minimum award?
The probability of winning the minimum award is.
(Type an integer or a simplified fraction.)
Answer:
1/237.12.
Step-by-step explanation:
The probability of winning the minimum award can be calculated by multiplying the probability of picking 4 numbers correctly from 1 to 51 and then multiplying by the probability of picking 1 number correctly from 1 to 42.
The probability of picking 4 numbers correctly from 1 to 51 is given by the formula:
(number of combinations of 4 numbers from 51) / (number of combinations of 5 numbers from 51)
= (51 choose 4) / (51 choose 5)
= 51! / (4! * 47!) / (51! / (5! * 46!))
= (51 * 50 * 49 * 48) / (5 * 4 * 47 * 46)
= 19600 / 10,946
= 1/5.6 approximately
The probability of picking 1 number correctly from 1 to 42 is given by the formula:
1/42
The final probability of winning the minimum award is given by multiplying the above two probabilities:
1/5.6 * 1/42 = 1/237.12
So, the probability of winning the minimum award is approximately 1/237.12.
2/5 of a gal used 1/4 for coffee. How much milk in cups
The cups of milk required for the ( 2 / 5 ) of a gallons used ( 1 / 4 ) for a coffee is given by 2.4 cups.
Here,
( 2 / 5 ) of a gallons is equal to 0.4 gallons.
( 1 / 4 ) of gallons used for coffee that is equal to 0.25 gallons.
Total gallons left after coffee is equal to
= ( 0.4 ) - ( 0.25 )
= ( 0.15 )gallons
Conversion of gallons to cups is given by :
1 gallon = 16 cups
⇒ ( 0.15 )gallons = 0.15 × 16 cups
⇒ ( 0.15 )gallons = 2.4 cups of milk used.
Therefore, the 2.4 cups of milk is used when ( 2 / 5 ) of a gallons used ( 1 / 4 ) for a coffee.
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what is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions? b. determine the margin of error for this poll assuming a confidence level of 95%
The point estimator for the proportion of registered voters expressed concern about a loosening of restrictions is 0.58. The margin of error for this poll is 3.6%.
The point estimator for the proportion of registered voters expressing concern about a loosening of restrictions is:
58/100 = 0.58 or 58%
To determine the margin of error for this poll assuming a confidence level of 95%, we can use the following formula:
margin of error = zsqrt(p(1-p)/n)
where z is the z-score for the desired confidence level (1.96 for 95%), p is the point estimator for the proportion (0.58), and n is the sample size (900).
So, the margin of error is:
1.96sqrt(0.58(1-0.58)/900) ≈ 0.036 or 3.6%
Therefore, the margin of error for this poll is 3.6%.
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____The given question is incomplete, the complete question is given below:
Read the following news article and then answer the two questions at the end According to an NBC News/Wall Street Journal poll released Sunday, 58 percent of registered voters expressed concern about a loosening of restrictions compared with 32 percent who worried that the restrictions would stay in place for too long 3 percent said they were concerned about both scenarios. A mere 3 percent said the pandemic had no impact on their lives, compared with 77 percent who said it had affected them either in a very major way" or "fairly major way The sample size was 900 registered voters a What is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions b. Determine the margin of error for this poll assuming a confidence level of 95%.
Determine whether the underlined value is a parameter or a statistic. In a championship football game, a quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns.Is the value a parameter or a​ statistic?
A quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns. The value "59%" is a statistic.
In this scenario, a sample of the quarterback's passes was taken during the championship football game, and the completion percentage was calculated based on that sample. Since the percentage was calculated based on a sample, it is a statistic. A parameter, on the other hand, is a value that describes a characteristic of an entire population. For example, if we were to consider the completion percentage of all quarterbacks in the league, then the mean or median completion percentage would be a parameter because it would describe a characteristic of the entire population of quarterbacks. In summary, statistics are values that describe a characteristic of a sample, while parameters are values that describe a characteristic of a population.
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Complete Question
Determine whether the underlined value is a parameter or a statistic. In a championship football game, a quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns. Is the value a parameter or a statistic?
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 21 mph. How far apart will they be in 3 hours?
Answer:
Step-by-step explanation:d = 14t + 21t = 35t
So, after 3 hours, the distance between the boats will be:
d = 35 * 3 = 105 miles
Therefore, the Serenity and the Mystic will be 105 miles apart after traveling for 3 hours.
1. The sum of two rational numbers is 5
6
. If one of the numbers is 7
36
,
find the other number.
Answer:
So, the rational number is [tex]\frac{52}{12}[/tex] .
Step-by-step explanation:
Let x be the other number.
We know ,
[tex]\frac{7}{36}[/tex] + x = [tex]\frac{5}{6}[/tex]
To find x, we need to convert both to have a common denominator.
So, if we multiply [tex]\frac{7}{36}[/tex] by [tex]\frac{10}{36}[/tex] ,
[tex]\frac{10}{1}[/tex] × [tex]\frac{7}{36}[/tex] + x = [tex]\frac{56}{10}[/tex]
After multiplication the fraction [tex]\frac{7}{36}[/tex] becomes [tex]\frac{70}{360}[/tex] .
[tex]\frac{70}{360}[/tex]+ x = [tex]\frac{56}{10}[/tex]
Now we have common denominator of 360in both fraction,
Now,
we can simplify the equation ,
[tex]\frac{70}{360}[/tex] + x = [tex]\frac{56}{10}[/tex]
70 + 360x = 56 × 36
2520 + 360x = 2016
504 + 360x = 2016
360x = 1512
x = [tex]\frac{1512}{360}[/tex]
=[tex]\frac{52}{12}[/tex]
So, the rational number is [tex]\frac{52}{12}[/tex] .
John and Mary are building towers out of lego bricks. John used fewer than 18 bricks for his
tower. Mary used twice as many bricks as John. What is the greatest number of bricks Mary
could have used?
Answer:
34 bricks is the greatest amount Mary could have used
Step-by-step explanation:
how many pattern block trapezoids would create 2 hexagons
There are 12 trapezoids needed to create two hexagons with pattern blocks.
1. To create two hexagons with pattern blocks, you will need 12 trapezoids.
2. Each hexagon consists of six trapezoids.
3. Since you need two hexagons, you will need 12 trapezoids in total.
In order to create two hexagons with pattern blocks, you will need to use 12 trapezoids in total. Each hexagon consists of six trapezoids, so you will need two hexagons to use all twelve trapezoids. The two hexagons can be formed by arranging the trapezoids in a pattern of two triangles, two parallelograms, two rhombuses, and two trapezoids. With these 12 trapezoids, you will be able to create two complete hexagons.
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Answer:
Step-by-step explanation:
how many pattern blocks triangles would create 1 hexagon
write -3×(5-2) as a distributive property
Distributive property is expressed as:
a(b + c) = ab + acApply this to the given expression and simplify
- 3×(5 - 2) = Given- 3×5 - 3×(-2) = Distribute- 15 + 6 = Simplify- 9 AnswerSelect the correct answer. Rewrite the expression using only positive integer exponents. (m2/3n-1/3)^6
A. m9/n18
B. n18/m9
C. m4/n2
D. n2/m4
Answer:
C. m4/n2 :))))
Write an inequality to represent the tablespoons of ground cofee, g, mrs. Smith might use at this event
Approximately one full tablespoon of coffee powder is required for each 200 ml cup of coffee. We advise using seven teaspoons of ground coffee to produce a full litre of filter coffee at once.
To create coffee, coffee beans must first be roasted. Coffee is a dark-colored, bitter, and slightly acidic beverage that stimulates individuals due to its high caffeine content. In terms of sales, hot beverages have the largest market worldwide. The roasted beans are ground into tiny particles, frequently steeped in hot water, and then filtered to create a cup of coffee. Despite the fact that coffee is typically served hot, it is frequently served cold or iced. Unroasted green coffee beans are made by separating the seeds from the fruits of the Coffea plant. To produce a cup of coffee, the roasted beans are ground into tiny particles, regularly soaked in hot water, and then filtered. Coffee is commonly served cold or iced even though it is traditionally served hot.
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Find the perimeter of the rectangle in the given diagram.
Recall: To find the perimeter of a rectangle, add all of its sides.
15
Perimeter =
9
A
The perimeter of the rectangle in the given diagram is: D. 42 units.
How to determine the perimeter of this rectangle?In order to determine the perimeter of this rectangle, we would have to find the length of the third side of the right-angled triangle by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
9² + b² = 15²
81 + b² = 225
b² = 225 - 81
b = √144
b = 12 units.
Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;
P = 2(L + W)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.P = 2(9 + 12)
P = 42 units.
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Write the polynomial below in factored form.
y = x³ - 3x² - 4x
Answer: y = x(x+1)(x-4)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given,y=x^3-3x^2-4x
taking x commonly
y=x(x^2-3x-4)
y=x(x^2+x-4x-4)
y=x[x(x+1)-4(x+1)]
y=x(x+1)(x-4)
Find the area bounded by y=x-13/x^2-6x-27, x=2, x=7, and y=0
Answer
Step-by-step explanation:
Suppose your home is located at (0, 0) on a coordinate plane. The school is located 5 miles west of your home. The playground is 3 miles south of the school. What is the shortest distance, in miles, between your home and the playground? Round your answer to the nearest tenth
The shortest distance is 5.83 miles as we calculate this by distance formula.
A distance formula is a formula used to find the distance between any two points only if the coordinates are known. These coordinates can be on the x-axis, y-axis, or both. Suppose we have two points, P and Q, in the XY plane. Point P has coordinates (x1,y1) and Q has coordinates (x2,y2). Then the formula for the distance PQ between two points is:
PQ = √([tex](x2 - x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex])
The school is located 5 miles west of your home the co ordinate is (-5,0)
The playground is 3 miles south of the school so co - ordinate is (0,-3)
shortest distance = PQ = √([tex](x2 - x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex])
√([tex]5^{2} +3^{2}[/tex]) = √34
=5.830 miles
And this Question also can be do by right angle triangle method
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terry invests a sum of money at a rate of 3.7% p.a. compound annually. After 4 years he withdraws $2000, and moves the moves the remaining money into an account earning 4.5% p.a. compounded annually. After 3 more years, there is $5635.66 in the account. How much did terry initially invest?
Answer:
To solve it, you need to use compound interest. Let me show you how.
Let P be the initial amount that Terry invested. Then after 4 years, the amount in the account is:
P × (1 + 0.037)^4
After withdrawing $2000, the remaining amount is:
P × (1 + 0.037)^4 - 2000
This amount is then moved to another account earning 4.5% p.a. compounded annually. After 3 more years, the amount in the account is:
(P × (1 + 0.037)^4 - 2000) × (1 + 0.045)^3
We are given that this amount is equal to $5635.66. So we can write an equation:
(P × (1 + 0.037)^4 - 2000) × (1 + 0.045)^3 = 5635.66
Simplifying the equation, we get:
P × 1.1597 - 2000 = 5635.66 / 1.1406
Adding 2000 to both sides, we get:
P × 1.1597 = 5635.66 / 1.1406 + 2000
Dividing both sides by 1.1597, we get:
P = (5635.66 / 1.1406 + 2000) / 1.1597
Using a calculator, we get:
P ≈ 5000.01
Therefore, Terry initially invested about $5000.01.
Step-by-step explanation:
The diagram shows three identical coins of
radius 1 cm.
Calculate the shaded area in the middle
of the diagram.
A watch salesman earns a commission of 40% of all watch sales made. Yesterday he sold 5 watches for $60 each and 4 watches for $40 each. How much did he earn in commission yesterday?
A. $120
B. $64
C. $40
D. $184
He earns $184 in commission yesterday on sold 5 watches for $60 each and 4 watches for $40 each.
Commission:A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services. Employers sometimes use sales commissions as incentives to increase worker productivity. A commission may be paid in addition to a salary or instead of a salary.
A salesman earns a commission 40%
He sold yesterday 5 watches for $60 each
and, 4 watches for $40 each.
We have to find the how much he earn commission?
Now, According to the question:
Price of 5 watches = 60.00 × 5 = $300
4 watches = $40.00 each
Price of 4 watches = 40.00 × 4 = $160
Total sales made = 300 + 160 = $460
His commission is 40% of the sales = 40% × 460
= 0.40 × 460 = $184
Hence, He earns $184 in commission.
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It costs $3. 75 to buy 3/4 pound of chopped walnuts. How much would 10 pounds of chopped walnuts cost?
Ten pounds of chopped walnuts would total cost $30.00. That is because 3/4 pound of chopped walnuts costs $3.75, and 10 pounds would be 13.33 times as much.
1. 3/4 pound of chopped walnuts costs $3.75
2. 1 pound of chopped walnuts costs $5.00 (3.75 x 1.33)
3. 10 pounds of chopped walnuts costs $50.00 (5.00 x 10)
To calculate the cost of 10 pounds of chopped walnuts, we need to first calculate the cost of 1 pound of chopped walnuts. We know that 3/4 of a pound of chopped walnuts costs $3.75. To calculate the cost of 1 pound, we can multiply 3.75 by 1.33, which gives us the result of $5.00. We then multiply $5.00 by 10, which gives us the result of $50.00. Therefore, 10 pounds of chopped walnuts would cost $50.00. This is because 3/4 pound of chopped walnuts costs $3.75, and 10 pounds would be 13.33 times as much.
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A, b and c are integers. They are the length, width and height of a cuboid respectively. It has a volume of 12cm^3, and the top faces has an area of 4 cm^2. If the cuboid is longer than it is width, what are a, b and c?
The length is 1 and width is 4 and height is 3.
In geometry, a cuboid is a solid or three-dimensional shape. A convex polyhedron bounded by 6 rectangular faces with 8 vertices and 12 sides is called a cuboid. A cuboid is also called a cuboid. A cuboid with six square faces is called a cube. An example of a real cube is a rectangular box. In mathematics, we can observe other shapes that are exactly the same as the cuboid. They are cuboid, cuboid, right prism, cuboid, cuboid, cuboid. Learn more about cuboids here
has a volume of 12cm^3
volume of cuboid is = length*width*height.
a*b*c = 12
and the top faces has an area of 4 cm^2
op faces has an area = a*b.
ab = 4
a = length
b = width
ab = 4 = 1x4 = 2x2
and a = 1
b = 4 because the cuboid is longer than it is width
now
abc = 12
ab = 4
c = 12/ab
c = 12/4
c = 3
length = 1 width = 4 height = 3
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Can somebody help me out here, please?
The addition and subtraction of the fractions by finding the LCD gives:
NUMBER 1: (8y-49) /(y²-49)
NUMBER 2: (x+10) /(2x+8)
NUMBER 3: (7a-2)/10b
NUMBER 4: 1
How to add and subtract the fractions by finding the LCD?Least Common Denominator (LCD) refers to the smallest multiple that two or more denominators have in common, and is used in operations involving fractions.
NUMBER 1
y/(y²-49) - 7(y+7) = y/[(y+7)(y-7)] - 7(y+7)
LCD of (y+7)(y-7) and (y+7) is (y+7)(y-7):
= [y + 7(y-7)] / [(y+7)(y-7)]
= [y + 7y-49)] / [(y+7)(y-7)]
= (8y-49) / (y+7)(y-7)
= (8y-49) /(y²-49)
NUMBER 2
1/2 + 3/(x + 4) = [1(x+4) + 3*2] /[2(x+4)]
= [x+4 + 6] /[2(x+4)]
= (x+10) /(2x+8)
NUMBER 3
(a+2)/4b + (a-1)/10b + (a-3)/5b = [5(a+2) + 2(a-1) + 4(a-3)]/20b
= [5a+10 + 2a-2 + 4a-12]/20b
= (14a-4)/20b
= 2(7a-2)/20b
= (7a-2)/10b
NUMBER 4
x/(x+1) - 1/(x-1) + 2x/(x²-1) = [x(x-1) - 1(x+1) + 2x]/(x²-1)
= [x²-x -x-1 + 2x]/(x²-1)
= (x²-1)/(x²-1)
= 1
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