Henrik will exceed Kharif in the number of cards in the 4th month because in the 4th month Henrik has a total of 160 cards and Kharif has only 100 cards left.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Total cards brought by Henrik per month = 40
Total cards sold by Kharif per month = 20
Total collection of Cards of Kharif = 180
Then,
Let's check after 3 months how many cards both have right now.
Henrik = 3 × 40 = 120
Kharif = 180 - (3 × 20) = 120
It means that after 3 months both are having the same number of cards.
Now, let's check for 4th month,
Henrik = 4 × 40 = 160
Kharif = 180 - (4 × 20) = 100
It means in the fourth month, Henrik will have more cards than Kharif.
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A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 8 companies was selected and the sales and earnings, in millions of dollars, are reported below. Sales ($million) 89.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 Earnings ($million) 4.9 4.4 1.3 8 6.6 4.1 2.6 1.7 Let sales be the independent variable and earnings be the dependent variable. (i) Determine the estimated regression equation and comment on the coefficient of X. (ii) For a small company with $50.0 million in sales, estimate the earnings. (iii) Calculate the standard error of estimate and comment on it. (iv) Find the coefficient of determination and interpret the result.
Answer:
(i) The estimated regression equation is;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X
(ii) The estimated earnings for the company is approximately $4.7096 million
(iii) The standard error of estimate is approximately 29.34
The high standard error of estimate indicates that individual mean do not accurately represent the population mean
(iv) The coefficient of determination is approximately 0.57925
The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]
(i) From the data, we have;
The regression equation can be presented as follows;
[tex]\hat y[/tex] = b₀ + b₁·x
Where;
b₁ = The slope given as follows;
[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]
b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]
From the data, we have;
[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05
[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259
[tex]\overline y[/tex] = 4.2
[tex]\overline x[/tex] = 41.5625
∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005
b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69
Therefore, we have the regression equation as follows;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales
(ii) For the small company, we have;
X = $50.0 million, therefore, we get;
[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096
The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million
(iii) The standard error of estimate, σ, is given by the following formula;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]
Where;
n = The sample size
Therefore, we have;
[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]
The standard error of estimate, σ ≈ 29.34
The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean
(iv) The coefficient of determination (R Square) is given as follows;
[tex]R^2 = \dfrac{SSR}{SST}[/tex]
Where;
SSR = The Sum of Squared Regression ≈ 21.9884
SST = The total variation in the sample ≈ 37.96
Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925
The coefficient of determination, R² ≈ 0.57925.
Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925
50 points plzz help Combine the radicals .
Answer:
D) [tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]
Which statement is true about the equation (x – 4)(x + 2) = 16? O The equation x - 4 = 16 can be used to solve for a solution of the given equation. O The standard form of the equation is x2 - 2x - 8 = 0. O The factored form of the equation is (x + 4)(x - 6) = 0. O One solution of the equation is x = -6. vity
Answer:
The factored form of the equation is (x + 4)(x - 6) = 0
Step-by-step explanation:
(x - 4)(x + 2) = 16
[tex]x^{2} -2x - 8 = 16[/tex]
[tex]x^{2} -2x - 24[/tex] = 0
(x - 6)(x + 4) = 0
x = 6 or x = -4
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.
How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points)
Send
# 84 square inches
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4. Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the total.
surface area of his cylinder in cubic inches? 8.7B-R
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345.6 in?
251.3 in?
188.5 in
471.2 in?
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Complete Question
Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?
Answer:
471.24 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder =
πr²h
r = Radius = 5 in
h = Height = 6 in
Hence,
Volume = π × (5 in)² × 6 in
= 471.24 cubic inches
Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches
Please help NO LINKS
LINKS=REPORTED
Answer:
They didn't multiply the whole equation by 2 or -3 and only the first part
Answer:
when the first equation was multiplied by 2, the -22 did not get multiplied by 2
when the second equation was multiplied by -3, the -14 did not get multiplied by -3
the result is that x should be = 2
Step-by-step explanation:
HELP!!! Use the properties of exponents to simplify the expression:
A farmer sells 7.7 kilograms of apples and pears at the farmer's market.
1
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market? answer
ttbhbidek umm in 10th grade and idek but u can ask others
The box plots summarize the attendance for the spring musical and the fall musical. Each musical was performed for six evenings.
Please help me to do this question with steps
Answer:
x = 71°
Step-by-step explanation:
Segments of tangents from the same external point are congruent, that is
AT = BT
Then Δ ABT is isosceles with base angles congruent , so
x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71°
40 points for this answer thank you
The volume of a cylinder is 8T cubic centimeters. The
radius and the height are equal. What is radius of the
cylinder? Explain how you know.
Figure AAA maps to figure BBB with a scale factor of 0.750.750, point, 75.
Answer:
7.5
Step-by-step explanation:
x=10*0.75 = 7.5
note that b is smaller than a
use distributive property to rewrite the expression 3x(x+4)
Answer:
3x^2 + 12x
Step-by-step explanation:
3x(x +4)
3x^2 + 12x
- Multiply 3x * x = 3x^2
- Multiply 3x * 4 = 12x
Which Gives You 3x^2 + 12x
Find the area of the figure. Round your answer to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
Find the derivative of
y = 1/ (3x^3) with steps
Answer:
[tex] - 9 {x}^{ - 4} [/tex]
Step-by-step explanation:
[tex]y = \frac{1}{ {3x}^{3} } = {3x}^{ - 3} [/tex]
[tex]y = < - 3 \times 3 > {x}^{ - 3 - 1} \\ = - 9 {x}^{ - 4} [/tex]
8 squared + B squared = 10 squared
Right triangle Pythagorean theorem
Answer:
6
Step-by-step explanation:
It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.
The equation is a² + b² = c²
C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²
Therefore, 64 + b² =100
So b² = 36
By square rooting both sides we finally reach the answer b=6.
Hope I helped!! (p.s. maybe brainliest)
Which table represents a quadratic function?
Answer:
the first table
Step-by-step explanation:
step by step explanation:in a quadratic function, the second different are the same
solve for x
5 - 2x^2 = -15
HI can you guys please help with these
AnswerЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупые
Step-by-step explanation:
Write an equation of the line that passes through the given points.
(-2,8) and (1, -1)
/Answer:
Short Answer Type:
P1 - (-2,8)
P2 - (1,1)
Slope: (1 - 8) / (1 + 2)
=> -7/3
Therefore: 1 = -7/3 + c
=> 10/3 = c
Therefore equation: y = -7x/3 + 10/3
When Bruce won a contest, he got a bronze medal with a radius
of 5 centimeters. What is the medal's diameter?
Answer:
10 centimeters
Step-by-step explanation:
diameter = 2r
r = radius
diameter = 2(5cm)
diameter = 10 cm
Remove parentheses using the distributive property 9 ( x + 8)
Answer:
9x + 72
Step-by-step explanation:
Answer:
9x + 8
Step-by-step explanation:
Hope this helps have a nice day :)
*You don't have to read this part*
Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.
What is the volume of this composite solid?
Answer:
A: 64 cubic meters
Step-by-step explanation:
Multiply 7m, 2m, and 4m. You get 56
Then for the smaller cube multiply 2, 2, and 2
2x^2-5x+1=4 factor step by step please
Answer in screen shot below
A tree that is 8 feet tall is growing at a rate of 2 feet each year. A tree that is 16 feet tall is growing at a rate of 1 1/2 feet each year. Enter the number of years it will take the two trees to reach the same height
Answer: 8.
This is because for every 2 years the 10 foot tree will grow one foot and for every year the 8 foot tree will grow one foot.
It takes 8 years fort the 10 ft tree to be:16
This is because you do:
2+2+2+2+2+2+2+2=16
It takes 8 years for the 8 food tree to be: 16
You do:
2+2+2+2+2+2+2+2=16 and we added it 8 times and in 8 years it will be 16
- - Hope this helps! - -
Heart or brain me!
Which is the simplified form of p⁰?
O p
O 1/p
O 0
O 1
Answer:
It is p = 1
Step-by-step explanation:
p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰
Hmmmmmskksksksksksjsjsjdj
Answer:
Hmmm
Step-by-step explanation:
answer plz i really need it
answer
root 15
Step-by-step explanation:
root 15 =3.87 and it is closer to root 4
Hamal has a new part time job bagging groceries after school. The equation y=10x+50 show the relationship between his hours of work (x) and the money in his bank account (y)
How much is Hamal earning per hour??
FREE POINTS!!!