The web publisher www.exploreiceland.is (Links to an external site.)Links to an external site. provides information on traveling to Iceland. Access to the website is free but revenues are generated by selling ads that are posted on the website. In the following month, the website has committed to displaying ads to 650,000 viewers, i.e., 650,000 impressions. Based on data from previous months the traffic to the website is estimated to be normally distributed with a mean of 850,000 viewers and a standard deviation of 150,000.
How many impressions should the web publisher have taken on, to be able to guarantee a 95% service level?
Answers
Answer:
1096750 impressions
Step-by-step explanation:
Given that :
Mean = 850,000
Standard deviation = 150,000
If we assume that X should be the numbers of impressions created;
Then ;
\(X \approx N (\mu , \sigma^2)\)
Now ; representing x as the value for the number of impression needed ; Then ;
\(P(X>x) = 0.95\)
\(P(\dfrac{X- \mu}{\sigma} > \dfrac{x -850000}{150000}) = 0.95\)
\(P(Z> \dfrac{ x -850000}{150000}) = 0.95\)
From normal tables:
\(P(Z >1.645) = 0.95\)
\(\dfrac{x - 850000}{150000} =1.645\)
(x- 850000) = 1.645(150000)
x - 850000 = 246750
x = 246750 + 850000
x = 1096750 impressions
Related Questions
What is the height of a
triangle with area 893 square
inches and base 38 inches?
Answers
Answer:
47
Step-by-step explanation:
Start by drawing the figure and labeling it with the given information. We are looking for the height of a triangle. The formula for the area of a triangle is A=12bh, where b is the length of the base and h is the height of the triangle. Substituting in the given information and solving for h, we find
A8938931947=12bh=12(38)(h)=h=h
The height is 47 inches.
Evaluate x + y when x = -19/12 and y = -7/5
Answers
Hey there!
x + y
= -19/12 + (-7/5)
= -19/12 - 7/5
= -95/60 + -84/60
= -95/60 - 84/60
= -95 + (-84) / 60 - 0
= -95 - 84 / 60
= -179 / 60
Therefore, the answer should be:
-179 / 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x+y= -2 59/60
Step-by-step explanation:
=-19/12-7/5 = -95-84
60
=-179
60
= -2/59/60
Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answers
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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In this problem, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. x(π/4) = 2 2 , x'(π/4) = 0
Answers
Differentiate the given solution:
\(x=C_1\cos(t)+C_2\sin(t) \implies x'=-C_1\sin(t)+C_2\cos(t)\)
Now, given that x (π/4) = √2/2 … (I'm assuming there are symbols missing somewhere) … you have
\(\dfrac{\sqrt2}2=C_1\cos\left(\dfrac\pi4\right)+C_2\sin\left(\dfrac\pi4\right)\)
\(\implies\dfrac1{\sqrt2} = \dfrac{C_1}{\sqrt2}+\dfrac{C_2}{\sqrt2}\)
\(\implies C_1+C_2=1\)
Similarly, given that x' (p/4) = 0, you have
\(0=-C_1\sin\left(\dfrac\pi4\right)+C_2\cos\left(\dfrac\pi4\right)\)
\(\implies 0=-\dfrac{C_1}{\sqrt2}+\dfrac{C_2}{\sqrt2}\)
\(\implies C_1=C_2\)
From this result, it follows that
\(C_1+C_2=2C_1=1 \implies C_1=C_2=\dfrac12\)
So the particular solution to the DE that satisfies the given conditions is
\(\boxed{x=\dfrac12\cos(t)+\dfrac12\sin(t)}\)
Find the area or volume for the following figures:
3
a rectangle with a length of 7 meters and a width
of 4 meters.
b. square with a length of 8 meters and a width of
4 meters.
c. Find the volume of a rectangular prism with a
length of 4 cm., width of 2 cm and a height of 9
cm.
Answers
Answer:
A. 28m^2
B. 32m^2
C. 72cm^3
Step-by-step explanation:
A. 7•4=28
B. 8•4= 32
C. 4•2= 8
8•9= 72
hope this helps <3
in a survey of employee satisfaction , 60% of the employees are male and 45% of the employees are satisfied. what is the probability of randomly selecting an employee who is male and satisfied
Answers
Answer:
27%
Step-by-step explanation:
6/10*45/100=270/1000 which is 27/100 which is 27%
WILL GIVE BRAINLEST Which line is most likely to have a slope of 10? HELP ASAP
Answers
A slope of 10 is the same as 10/1, so it goes up 10 and over 1. Meaning it will have a steep positive slope.
C is a negative slope and D is undefined, so those are both ruled out.
The second one isn’t steep enough to have a slope of ten.
Hope this helps :)
Write an equation to represent the following: Describe a real world situation the equation could represent 8 more than 4 times a number is 28.
Answers
Answer:
12+16
Step-by-step explanation:
well if your using the number for and eight then do 2x8=16 that would be using the 8 and with number 4 you would do 4x3=12 and if you use those to which are 12+16 it equals 28
Answer: 4x+8
Step-by-step explanation: I know that bc I have a homework question just like this.
please please help last text then finals l give brainliest
Answers
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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g (x)=√-3x+6
Look at photo please
Answers
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
I need help with questions 1,2, and 3. This class is microeconomics
Answers
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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Simplify.
7 (x-1) -2 (x-1)
Answers
Answer: 5x-5
Step-by-step explanation:
7 (x-1) -2 (x-1)
7x-7-2x+2
Combine like terms:
7x-2x=5x
-7+2=-5
Answer simplified is 5x-5.
Melissa Silva borrowed $6,300 from the bank. If she has already repaid
2/7 of the loan, what is the remaining balance owed to the bank (in $)?
Enter a number as a whole number or decimal.
Answers
What is
Tan x% =4 over 9
Answers
The value of x in tan x = 4 over 9 is x = 23.9
How to determine the value of x?The trigonometric equation is given as
tan x = 4 over 9
Rewrite the above equation properly
So, we have
tan(x) = 4/9
Evaluate the quotient
So, we have
tan(x) = 0.4444
Take the arc tan of both sides
x = 23.9
Hence, the value of x in tan x = 4 over 9 is x = 23.9
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a triangle has side lengths g, h, and k. The relationship among the side lengths of this triangle is shown
The angle opposite side h = 45°.
The angle opposite side , h, = 45°.
The angle opposite side k = 90°.
The angle opposite side , k, = 90°.
The triangle is a right triangle.
The triangle is a right triangle.
The triangle is not a right triangle.
Answers
Lilia borrows 400 at a yearly simple interest rate of 6% she writes the expression 400 + (0.6 x 400) to represent the total amount of money she will pay back after 1 year
is her expression correct explain your answer and determine the amount lilia will have to pay after 1 year
Answers
Answer:
no, she expression is not correct.
since 400×6×1/100=24 simple interest/year
total = 400+24=424
but if we take the expression in the problem 400 + (0.6 x 400) it will be 460
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answers
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
1. Two points are plotted on the number line below.
w
7
10
8
0
1
2
4
3
Which of the following has the greatest value?
A. W
B.
Answers
Answer:
the dot is division
Step-by-step explanation:
hope this helps
Which ordered pair is a solution of the equation? x+5y=7?
A. (2,-3)
B. (-3,2)
C(1,-3)
D (-3,1)
Answers
Evaluate the expression for c = -19.
C + 15 =
Answers
Answer:
the Answer is -4
Step-by-step explanation:
since you add 15 to -19 you get -4
-19 + 15 = -4
I need to know how to Expand 2.31x10^5
Answers
Answer:
Move 5 decimal places to the right. 231,000. If it was 10^-5, you would have to move 5 decimal places to the left.
Cyrus plans to run at least 8 miles each week for his health. Cyrus has a circular route in the
neighborhood to run. Once around that route is 120 yards. If Cyrus runs that route 30 times during the
week, will he cover at least 8 miles? Explain.
Answers
2. What is the value of 'm' if 9m ÷ 9-3 = 95
Answers
Answer:
m = 98
Step-by-step explanation:
9m/9 - 3 = 95
9m/9 = 95 + 3
9m/9 = 98
cross-multiply
9m = 98 × 9
9m = 882
Divide both sides by 9
m = 98
Jerimiah and Darren both collect baseball cards. Jerimiah starts with 11 cards and collects 3 cards each week. Darren starts with 5 cards and collects 4 each week. Which system of equations can be used to determine the number of weeks it will take for Jerimiah and Darren to collect the same number of cards?
a. y = 3x + 11 and y = 4x + 5
b. y = 11x + 3 and y = 5x + 4
c. y = 3x + 5 and y = 4x + 11
d. y = 3x + 4x and y = 11 + 5
Answers
The system of equations that can be used to determine the number of weeks it will take for Jerimiah and Darren to collect the same number of cards is option A: y = 3x + 11 and y = 4x + 5.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The number of baseball cards Jerimiah collected = 11
The number of baseball cards Darren collected = 5
The number of baseball cards Jerimiah collected every week = 3
The number of baseball cards Darren collected every week = 4
Let the value of number of weeks be x.
The number of cards collected by Jerimiah and Darren is y.
So, the equation for Jerimiah will be -
Number of cards = 3 (number of cards) + 11
Similarly, the equation for Darren will be -
Number of cards = 4 (number of cards) + 5
So, the two equations are -
y = 3x + 11
y = 4x + 5
Now, if the number of week is 6, substitute x = 6 in both the equations -
y = 3(6) + 11
y = 18 + 11
y = 29
y = 4(6) + 5
y = 24 + 5
y = 29
Therefore, it will take 6 weeks for Jerimiah and Darren to collect same number of cards.
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A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio, 1+√5/2 ?
Answers
Answer:
2:4
Step-by-step explanation:
I remember doing this is my class
When Amella started painting, the paint can had 7/8 gallon in it. She used 3/8 gallons How much paint is left in the can?
Answers
Answer: If Amella started with 7/8 gallon of paint in the can and used 3/8 gallons, then the amount of paint left in the can can be found by subtracting the amount used from the amount started with:
Amount left = Amount started with - Amount used
Amount left = 7/8 - 3/8
Amount left = 4/8 or 1/2 gallon
Therefore, Amella has 1/2 gallon of paint left in the can.
Step-by-step explanation:
-2x -x + 8 please answer
Answers
Add (-2x) + (-x) and gives you (-3x)
Answer:
=−3x+8
Step-by step explanation:
What do I need to know
Answers
A= 600 000 000
B) 3 X 1 000 000 000
B=3 000 000 000
C)9 X 100 000
C=900 000
D)2 X 10 000 000 000
D= 20 000 000 000
The polynomials, Need help asap!
Answers
The first option is correct. When the polynomial -3x² + 2x - 4 - (-2x² - x + 4) is simplified the result is -x² + 3x - 8.
What is polynomialA polynomial is a mathematical expression consisting of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, and multiplication.
We shall simply the polynomial -3x² + 2x - 4 - (-2x² - x + 4) as follows:
open bracket;
-3x² + 2x - 4 + 2x² + x - 4
group like terms;
-3x² + 2x² + 2x + x - 4 - 4
- x² + 3x - 8.
Therefore, the polynomial -3x² + 2x - 4 - (-2x² - x + 4) is simplified to give the result is -x² + 3x - 8.
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If DF=9x-39, find EF
Answers
Answer:
\(EF = 58\)
Step-by-step explanation:
Given
\(DF = 9x - 39\)
\(DE = 47\)
\(EF = 3x + 10\)
See attachment
Required
Find \(EF\)
Because E is a point between D and F, then:
\(DF = DE + EF\)
Substitute values for DF, DE and EF
\(9x - 39 = 47 +3x + 10\)
Collect Like Terms
\(9x -3x = 47 +39 + 10\)
\(6x = 96\)
Make x the subject
\(x = \frac{96}{6}\)
\(x = 16\)
Recall that:
\(EF = 3x + 10\)
Substitute 16 for x
\(EF = 3 *16 + 10\)
\(EF = 48 + 10\)
\(EF = 58\)
