Answer:
b) 0.0042495
c) 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Step-by-step explanation:
mean of 7.5 ounces and a standard deviation of 1.33 ounce
When random number of samples are given, we solve using z score with the formula
= z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?
(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√25
z = (8.2 - 7.5)/1.33/5
z = 2.63158
Probability value from Z-Table:
P(x<8.2) = 0.99575
P(x>8.2) = 1 - P(x<8.2) = 0.0042495
(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?
For n= 10
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√10
z = 1.66436
Probability value from Z-Table:
P(x<8.2) = 0.95198
P(x>8.2) = 1 - P(x<8.2) = 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
There are 25 questions in a quiz, what is the minimum score you can get
Answer:
7/25
Step-by-step explanation:
From randomly guessing, it depends on how many you think you got right and how many you really don't know. You could get all 25 wrong, but more likely at random get 7 right.
Answer:
The minimum score you can get is 0.
Step-by-step explanation:
Please help!!!!!!!!!!
Answer:
406%
Step-by-step explanation:
cuz google says so
8. John is looking for a job after graduation. The salary which he is satisfied with must be
$3000 with a tolerance of $500. Choose the salary John would accept.
A $3.478
B. $3.792
C. $2,489
D. $2,256
Answer:
A
Step-by-step explanation:
Becuase he wanted more then 3000
What is the product of = 4/9 and 1/11?
4/99
5/99
9/44
1/4
4/9 and 1/11
product means multiplying
4 times 1
4*1=4
9 times 11
9*11=99
answer: 4/99
A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?
Answer:
No, every student will have 3.2 minutes
Answer:
Each student has approximately 3 minutes and 12 seconds.
Step-by-step explanation:
You divide the total amount of minutes by the total amount of students. 48/15=3.2
After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds
Use a standard inch ruler to answer this question
Easy Car Corp. is a grocery store located in the Southwest. It paid an annual dividend of $2.00 last year to its shareholders and plans to increase the dividend annually at the rate of 4.0%. It currently has 2,000,000 common shares outstanding. The shares currently sell for $13 each. Easy Car Corp. also has 30,000 semiannual bonds outstanding with a coupon rate of 10%, a maturity of 23 years, and a par value of $1,000. The bonds currently have a yield to maturity (YTM) of 8%. What is the weighted average cost of capital (WACC) for Easy Car Corp. if the corporate tax rate is 30%?
When answering this problem enter your answer using percentage notation but do not use the % symbol and use two decimals (rounding). For example, if your answer is 0.10469 then enter 10.47; if your answer is 10% then enter 10.00
Answer:_____
Answer:
Since the instruction in the question indicates that the % symbol should not be used, the weighted average cost of capital (WACC) for Easy Car Corp is therefore 12.07.
Step-by-step explanation:
This can be calculated using the following steps:
Step 1: Calculation of the current bond price
Semiannual coupon amount = Bond face value * Semiannual coupon rate = $1000 * (10% / 2) = $50
Semiannual coupon discount factor = ((1 - (1 / (1 + r))^n) / r) .......... (1)
Where;
r = Semiannual yield to maturity (YTM) = 8% / 2 = 0.08 / 2 = 0.04
n = number of semiannuals = 23 years * 2 = 46
Substituting the values into equation (1), we have:
Semiannual coupon discount factor = ((1-(1/(1 + 0.04))^46) / 0.04) = 20.8846535613106
Present value of coupon = (Semiannual coupon amount * Semiannual coupon discount factor) = $50 * 20.8846535613106 = $1,044.23
Present value of the face value of the bond = Face value / (1 + r)^n = $1,000 / (1 + 0.04)^46 = $164.61
Therefore, we have:
Current bond price = Present value coupon + Present value of the face value of the bond = $1,044.23 + $164.61 = $1,208.84
Step 2: Calculation of weights of each finance source
Market value of common shares outstanding = Number common shares outstanding * Current price per share = 2,000,000 * $13 = $26,000,000.
Market value of bond = Number of bonds * Current bond price = 30,000 * $1,208.84 = $36,265,200
Total financing market value = Market value of common shares outstanding + Market value of bond = $26,000,000 + $36,265,200 = $62,265,200
Weight of Market value of common shares outstanding = Market value of common shares outstanding / Total financing market value = $26,000,000 / $62,265,200 = 0.42
Weight of Market value of bond = Market value of bond / Total financing market value = $36,265,200 / $62,265,200 = 0.58
Step 3: Calculation of return on equity
Current year dividend = Last year dividend * (1 + Dividend growth rate) = $2 * (1 + 4.0%) = $2.08
Next year dividend = Current year dividend * (1 + Dividend growth rate) = $2.08 * (1 + 4.0%) = $2.1632
The return on equity can now be calculated using the following formula:
Current share price = Next year dividend / (Return on equity – Dividend growth rate) ………………….. (2)
Where;
Current share price = $13
Next year dividend = $2.1632
Return on equity = ?
Dividend growth rate = 4.0%, or 0.04
Substituting the values into equation (2) and solve for return on equity, we have:
13 = 2.1632 / (Return on equity - 0.04)
13 * (Return on equity - 0.04) = 2.1632
(13 * Return on equity) – (13 * 0.04) = 2.1632
(13 * Return on equity) – 0.52 = 2.1632
13 * Return on equity = 2.1632 + 0.52
Return on equity = 2.6832 / 13
Return on equity = 0.21
Step 4: Calculation of Weighted average cost of capital
Weighted average cost of capital = (WS * CE) + (WD * CD * (1 – T)) ………………… (4)
Where;
WS = Weight of Market value of common shares outstanding = 0.42
WD = Weight of debt = Weight of Market value of bond = 0.58
CE = Cost of equity = Return on equity = 0.21
CD = Cost of debt = YTM = 8%, or 0.08
T = Tax rate = 30%, or 0.30
Substituting the values into equation (3), we have:
Weighted average cost of capital = (0.42 * 0.21) + (0.58 * 0.08 * (1 - 0.30)) = 0.12068, or 12.068%
Rounding to two decimal places, we have:
Weighted average cost of capital = 12.07%
Since the instruction in the question indicates that the % symbol should not be used, the weighted average cost of capital (WACC) for Easy Car Corp is therefore 12.07.
18 ÷ x = -2
what is x PLEASE HELP FAST AS YOU CAN!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND CORRECTLY 10 POINTS!!!!!!!!!
Answer: x=-9
Step-by-step explanation:
18/x=-2
multiply x
18=-2x
divide by -2
-9=x
x=-9
Answer:
[tex]18 \div x = - 2 \\ \frac{18}{x} = - 2 \\ x = \frac{18}{ (- 2)} \\ \boxed{x = - 9}[/tex]
-9 is the right answer(-3,6] to inequality
Answer:
-3 < x ≤ 6
Step-by-step explanation:
Left side is exclusive, right side is inclusive, hence the < and ≤, respectively.
What is the cost of 2 bags of sugar if 3 bags cost $5.25 and the unit price for each bag is the same.
Answer:
$3.50
Step-by-step explanation:
5.25/3 = 1.75
1.75 x 2 = 3.5
Garrett reflects points A and B across the y-axis to make the images of the points A' and B'. If the distance between points A and B is 10 units, what is the distance between points A' and B'? Explain your answer.
Answer:
A'B' = AB = 10Step-by-step explanation:
Reflection of points across y-axis doesn't change the distance between the points so AB = A'B' = 10 units
Let the coordinates be:
A = (x1, y1) and B(x2, y2)Reflection:
A'= (-x1, y1) and B(-x2, y2) as per ruleLets compare distances:
AB = √(x2-x1)² + (y2 - y1)²and
A'B' = √(-x2 - (-x1))² + (y2 - y1)² = √(-(x2 - x1))² + (y2-y1)² = √(x2-x1)² + (y2 - y1)²As we see the results are same
Answer:
Reflection of points across y-axis doesn't change the distance between the points so AB = A'B' = 10 units
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $224.97
Markdown: 73%
The sale price is $
Solve for x in this equation: 3/4+|5-x| = 13/4
step 1: 3/4
step 2: -5/2
step 3: 5-x= 5/2
step 4: 5
step 5: 5/2
I just did the equation on edgeinuity 2020
Answer: X =5/2, 15/2 x=2.5, 7.5
Step-by-step explanation:
6.4 meters + 14.7 - 23.2 = ?
Answer:
-2.1
Step-by-step explanation:
Answer:
-2.1
Step-by-step explanation:
Find the mean of the list of data.
49, 65, 41, 38, 87, 55, 95, 106
I can’t find the answer
Answer:
67.
Step-by-step explanation:
First we find the mean:
Mean is add up everything and divide by how much numbers there are.
The numbers are:
[tex]49, 65, 41, 38, 87, 55, 95, 106[/tex].
So we add them up which is 536.
Then we divide by how much numbers there are.
There are 8 numbers so 536/8 which is 67.
Hope this helps :D
What is the measure of M?
Answer:
<M = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
52+ 78+x = 180
Combine like terms
130 +x = 180
Subtract 130 from each side
130+x-130 =180-130
x = 50
Answer:
50°
Step-by-step explanation:
180 is the total of all the angles added together.
so if you subtract the 2 you already know from the total, you’ll have the size of the angle M.
180 - (52+78) = 180 - 130 = 50°
producto de (10x+7)(10x-7)
Answer:
(10x−7)^2
Step-by-step explanation:
(10x+7)(10x-7)
i stead of making it a "100" since they are both the same but positive and negative () and bring it to the power of 2
Colin gets £x wages each week. After he pays his tax of £T then, he pays his rent of £250. he then shares what's left between himself and his wife. how much do they both get?
Answer:
(£x - £T - £250) / 2
Step-by-step explanation:
Colin's total wages = £x
Tax = £T
Rent = £250
Total amount remaining = Total wages - tax - rent
= £x - £T - £250
he then shares what's left between himself and his wife. how much do they both get?
He and his wife = 2 people
Each person gets = Total amount remaining / number of people
= (£x - £T - £250) / 2
Or
= 1/2 (£x - £T - £250)
5x−4 = 3x +8
i need the steps on how to find x
plz, i got a 0 the first time i did it
Answer:
5x − 4 = 3x + 8
5x - 4 + 4 = 3x + 8 + 4
5x = 3x + 12
5x - 3x = 3x + 12 - 3x
2x = 12
2x / 2 = 12 / 2
x = 6
Answer:
x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
5x−4=3x+8
Step 1: Subtract 3x from both sides.
5x−4−3x=3x+8−3x
2x−4=8
Step 2: Add 4 to both sides.
2x−4+4=8+4
2x=12
Step 3: Divide both sides by 2.
2x/2=12/2
x=6
Answer:
x=6
Need help on this question ASAP!!!!!!!!!!
Need help with this both please help me it due today at 11:59pm please will mark brainiest please
Answer:
c= -20
x= 38
Explanation:
Solve for x and c by simplifying both sides of the equation, then isolating the variable.
hope this helps!
Graph the line that contains the point (-2,6) and has a slope of -1/3
Answer : Graph the line that contains the point (-2,6) and has a slope of -1/3
Answer:
[tex]y = - \frac{1}{3} x - \frac{20}{3} [/tex]
Step-by-step explanation:
Use the following equation [tex]y - y_{1} = m(x - x_{1})[/tex]your x1 and y1 are from the point you're given, so the ( -2 , 6 ) will be x1 = -2 and y1 = 6m is the slope, so m = -1/3Then we just substitute into the equationso [tex]y - (6) = - \frac{1}{3} ( x - ( - 2)) \\ y - 6 = - \frac{1}{ 3} (x + 2) \\ y - 6 = - \frac{1}{3} x - \frac{2}{3} \\ y - 6 + (6) = - \frac{1}{3} x - \frac{2}{3} + 6 \\ y = - \frac{1}{3} x - \frac{20}{3} [/tex]So that's our equationFor the equation given below, evaluate y′ at the point (2,2).
xe^y−4y=3x−14+2e^2.
Answer:
[tex]y'\approx -0.41[/tex]
Step-by-step explanation:
Implicit Derivatives
When it's not possible to express one variable as an explicit function of the other, we use implicit derivatives and solve for y'.
Find y' in the equation given below:
xe^y - 4y = 3x - 14 + 2e^2
Taking derivatives with respect to x, recalling y'=dy/dx, and dx/dx=1:
(xe^y)' - (4y)' = (3x)' - (14 + 2e^2 )'
Using the product rule for the first derivative, and simple rules for the rest:
e^y + xe^yy' - 4y' = 3 - 0
Recall the derivative of a constant is zero.
Group terms with y' in the left side and the rest in the right side:
xe^yy' - 4y' = 3 - e^y
Factoring y':
y'(xe^y - 4) = 3 - e^y
Solving:
[tex]\displaystyle y'=\frac{3 - e^y}{xe^y - 4}[/tex]
Evaluating for x=2, y=2:
[tex]\displaystyle y'=\frac{3 - e^2}{2e^2 - 4}[/tex]
Calculating:
[tex]\mathbf{y'\approx -0.41}[/tex]
Pizza time: A local pizza parlor is offering a half-price deal on any pizza with one topping. There are nine toppings from which to choose. In addition, there are three different choices for the size of the pizza, and two choices for the type of crust. In how many ways can a pizza be ordered?
Answer:
You can order pizza in 56 ways.
Step-by-step explanation:
A pizza can be ordered in 56 ways
Step-by-step explanation:
From the information that the problem gives to us, we have that:
For each topping, there are four different choices for the size of the pizza.
For each size of pizza, there are two possible choices of crust.
There are seven toppings for us to choose.
So
4*2*7 = 56
A pizza can be ordered in 56 ways
What percent is Rs15 of Rs 60?
Answer:
25%
Step-by-step explanation:
25% of 60 = 15
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86.25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months.
Income
WAgES
$2,278.00
EXPENSES
Rent
$950.00
Utilities
$232.45
Food/Clothes
$445.00
Entertainment
$270.00
Car
$200.00
Credit Card
$86.25
Cell Phone
$77.89
Net Income $16.41
a.
Addison can eliminate $73 from Food/Clothes and $100 from Entertainment.
b.
Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
c.
Addison can eliminate $25 from Food/Clothes and $22 from Entertainment.
d.
The minimum payment is enough to pay off the balance within 24 months.
ANSWER IS B)Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).
Given the following data:
Balance = $3,450.APR = 18%.Monthly payment = $86.25.Time = 24 months (2 years).How to calculate monthly payment.Mathematically, the monthly payment for a credit card can be calculated by using this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).
Read more on monthly payment here: https://brainly.com/question/2151013
Express 45% as a ratio in its simplest form.
Answer:
4:5 is the ratio in it simplest form
a tree casts a 26 ft shadow. a boy standing nearby casts a 10 foot shadow, forming similar triangles. his height is 4 ft. how tall is the tree
Answer:
he would be 22 ft smaller than the tree
Please help with math
answer the geometry questions attached :) (you need to also find c)
Answer:
a = 18
b = 6√3
Step-by-step explanation:
WE can see in the diagram that there are two right angled triangles formed.
One with 45° angle as other interior angle and other with 60° interior angle.
So we will take the triangles one by one to find the required values.
As a is used in both triangles, first we will find the value of a using the left triangle.
In the triangle,
Hypotenuse = h = 18√2
θ = 45°
Using trigonometric ratio:
[tex]sin\ 45 =\frac{Perpendicular}{Hypotenuse}\\\frac{1}{\sqrt{2}}= \frac{a}{18\sqrt{2}}\\a = \frac{1}{\sqrt{2}} * 18\sqrt{2}\\a = 18[/tex]
Now in the right side triangle
θ1 = 60°
Perpendicular = a = 18
Base = b = ?
So,
[tex]tan\ 60 = \frac{perpendicular}{base}\\\sqrt{3} = \frac{\sqrt{18}}{b}\\b = \frac{18}{\sqrt{3}}\\b = \frac{6*3}{\sqrt{3}}\\b = \frac{6*\sqrt{3}*\sqrt{3}}{\sqrt{3}}\\b = 6\sqrt{3}[/tex]
Hence,
a = 18
b = 6√3