Answer:
[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]
Step-by-step explanation:
A null hypothesis refers to the hypothesis in which there is no important difference taken place and it is used in statistics and it also does not have any relation between the two measured events or variables or group association
It can be denoted by
[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]
Therefore the above null hypothesis is the correct answer
if a 10 pound turkey cost 20.42 how much does 21 pound turkey cost
Answer:
$42.88
Step-by-step explanation:
We can set up a cross product fraction ratio to find how much 21 pounds of turkey costs.
[tex]\frac{10}{20.42} = \frac{21}{x}[/tex]
Let's apply the cross multiplication property.
[tex]20.42\cdot21=428.82[/tex]
Now we divide this by 10.
[tex]428.82\div10=42.882[/tex]
This simplifies down to [tex]42.88[/tex].
Hope this helped!
given that (-9,-3) is on a graph of f(x), find the corresponding point for the function f(x+1)
Answer:
(-10, -3)
Step-by-step explanation:
Replacing x with x+1 in a function moves its graph 1 unit to the left. The point that is 1 unit to the left of (-9, -3) is (-10, -3).
If a pair of dice are rolled,
what is the probability that at least
one die shows a 5?
Answer:
11/36
Step-by-step explanation:
Find the probability that neither dice shows a 5 (also means the dice can show any number except 5- where there are 5 possible choices out of 6):
= 5/6 x 5/6
=25/36
If we subtract the probability that neither dice shows a 5, we can obtain the probability that at least 1 dice shows a 5- (either one of them is 5, or both of them is 5)
1- 25/36
=11/36
Write the equations after translating the graph of y = |x|: one unit up,
Answer:
[tex]g(x) = |x| + 1[/tex]
Step-by-step explanation:
Given
[tex]y = |x|[/tex]
Required
Translate 1 unit up
Start by replacing y with f(x)
[tex]f(x) = |x|[/tex]
To translate an the graph of an absolute function upward, you make use of the formula;
[tex]g(x) = f(x) + k[/tex]
Where k is the number of units
In this case; [tex]k = 1[/tex]
Hence;
[tex]g(x) = f(x) + k[/tex]
Substitute [tex]k = 1[/tex]
[tex]g(x) = f(x) + 1[/tex]
Substitute [tex]f(x) = |x|[/tex]
[tex]g(x) = |x| + 1[/tex]
Hence, the resulting equation is [tex]g(x) = |x| + 1[/tex]
find the inverse of the one-to-one function f(x)=-8x+8
Answer:
[tex]\huge\boxed{f^{-1}(x)=-\dfrac{1}{8}x+1}[/tex]
Step-by-step explanation:
[tex]f(x)=-8x+8\to y=-8x+8[/tex]
change x with y
[tex]x=-8y+8[/tex]
solve for y
[tex]-8y+8=x[/tex] subtract 8 from both sides
[tex]-8y+8-8=x-8[/tex]
[tex]-8y=x-8[\tex] divide both sides by (-8)
[tex]\dfrac{-8y}{-8}=\dfrac{x}{-8}-\dfrac{8}{-8}\\\\y=-\dfrac{1}{8}x+1[/tex]
The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm.
(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.)
cm2
What is the relative error? (Round your answer to three decimal places.)
(b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)
cm^3
What is the relative error? (Round your answer to three decimal places.)
Answer:
Error in the sphere's surface: 29 [tex]cm^2[/tex] and relative error in surface measure: 0.011
Error in the sphere's volume: 205 [tex]cm^3[/tex] and relative error in the volume measure: 0.017
Step-by-step explanation:
(a)
The measured length (l) of the circumference is 90 cm with an error of 0.5 cm, that is:
[tex]l=2\,\pi\,R=90\,cm\\R=\frac{90}{2\,\pi} \,cm=\frac{45}{\pi} \,cm=14.3239\,\,cm[/tex]
and with regards to the error:
[tex]dl=0.5 \, cm\\dl=2\,\pi\,dR\\dR=\frac{dl}{2\,\pi} =\frac{1}{4\,\pi} cm = 0.0796\,cm[/tex]
then when we use the formula for the sphere's surface, we get:
[tex]S=4\,\pi\,R^2\\dS=4\,\pi\,2\,R\,(dR)\\dS=8\,\,\pi\.(\frac{45}{\pi} \,\,cm)\,(\frac{1}{4\pi}\,cm) =\frac{90}{\pi} \,\,cm^2\approx \,29\,cm^2[/tex]
Then the relative error in the surface is:
[tex]\frac{dS}{S} =\frac{90/\pi}{4\,\pi\,R^2} =\frac{1}{90} =0.011[/tex]
(b)
Use the formula for the volume of the sphere:
[tex]V=\frac{4\,\pi}{3} R^3\\dV=\frac{4\,\pi}{3}\,3\,R^2\,(dR)=4\,\pi\,R^2\,(\frac{1}{4\pi}) \,cm=(\frac{45}{\pi})^2 \,\,cm^3\approx 205\,\,cm^3[/tex]
Then the relative error in the volume is:
[tex]\frac{dV}{V} =\frac{205}{12310.5} \approx 0.017[/tex]
State the slope of the line.
1
0
Undefined
-4
Answer:
Hey there!
The slope of a vertical line is undefined! The run is zero, and as we know, dividing by zero is undefined!
Hope this helps :)
Answer:
Undefined
Step-by-step explanation:
A vertical line has an undefined slope or there is no slope of the line.
Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
∫x2/x1−20x2−125dx
Answer:
125/6(In(x-25)) - 5/6(In(x+5))+C
Step-by-step explanation:
∫x2/x1−20x2−125dx
Should be
∫x²/(x²−20x−125)dx
First of all let's factorize the denominator.
x²−20x−125= x²+5x-25x-125
x²−20x−125= x(x+5) -25(x+5)
x²−20x−125= (x-25)(x+5)
∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx
x²/(x²−20x−125) =x²/((x-25)(x+5))
x²/((x-25)(x+5))= a/(x-25) +b/(x+5)
x²/= a(x+5) + b(x-25)
Let x=25
625 = a30
a= 625/30
a= 125/6
Let x= -5
25 = -30b
b= 25/-30
b= -5/6
x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)
∫x²/(x²−20x−125)dx
=∫125/6(x-25) -∫5/6(x+5) Dx
= 125/6(In(x-25)) - 5/6(In(x+5))+C
use the associative property to rewrite (26+92)+17
Answer:
(26+92)+17 = 26 + ( 92+17)
Step-by-step explanation:
The associative property of addition is
a + (b + c) = (a + b) + c
We want to move the parentheses
(26+92)+17 = 26 + ( 92+17)
Evaluate the following integrals
Answer:
a. (24 ln 2 − 7) / 9
b. x tan x + ln|cos x| + C
Step-by-step explanation:
a. ∫₁² x² ln x dx
Integrate by parts.
If u = ln x, then du = 1/x dx.
If dv = x² dx, then v = ⅓ x³.
∫ u dv = uv − ∫ v du
= (ln x) (⅓ x³) − ∫ (⅓ x³) (1/x dx)
= ⅓ x³ ln x − ∫ ⅓ x² dx
= ⅓ x³ ln x − ¹/₉ x³ + C
= ¹/₉ x³ (3 ln x − 1) + C
Evaluate between x=1 and x=2.
[¹/₉ 2³ (3 ln 2 − 1) + C] − [¹/₉ 1³ (3 ln 1 − 1) + C]
⁸/₉ (3 ln 2 − 1) + C + ¹/₉ − C
⁸/₉ (3 ln 2 − 1) + ¹/₉
⁸/₃ ln 2 − ⁸/₉ + ¹/₉
⁸/₃ ln 2 − ⁷/₉
(24 ln 2 − 7) / 9
b. ∫ x sec² x dx
Integrate by parts.
If u = x, then du = dx.
If dv = sec² x dx, then v = tan x.
∫ u dv = uv − ∫ v du
= x tan x − ∫ tan x dx
= x tan x + ∫ -sin x / cos x dx
= x tan x + ln|cos x| + C
An open box with no lid has a square base and four sides of equal height. The height is 4 inches
greater than the length and width (which are the same). What are the dimensions of the box if the
volume is 63 cubic inches and the surface area is 93 square inches?
PLEASE SHOW YOUR WORK:) THANK YOU SO MUCH
Answer:
width = length = 3 inches
height = 7 inches
Step-by-step explanation:
If x is the width and length of the base, and y is the height, then:
y = x + 4
The volume of the box is:
63 = x²y
The surface area of the box is:
93 = x² + 4xy
Substitute the first equation into the third.
93 = x² + 4x (x + 4)
93 = x² + 4x² + 16x
0 = 5x² + 16x − 93
0 = (x − 3) (5x + 31)
x = 3
y = 7
Use the second equation to check your answer.
63 = (3)²(7)
63 = 63
Answer:
Length=Width=3
Height=7.
Step-by-step explanation:
First, let's write some equations. So, we have an open box (with no lid) that has a square base. It has a height 4 units more of its width/length.
First, let's write the equation for the volume. The volume of a rectangular prism is:
[tex]V=lwh[/tex]
Recall that we have a square base. In other words, the length and width are exactly the same. Therefore, we can do the following substitution:
[tex]V=(w)wh=w^2(h)[/tex]
Now, recall that the height is four units more than the width/length. Therefore, we can make the following substitution:
[tex]V=w^2(w+4)\\63=w^2(w+4)[/tex]
We can't really do anything with this. Let's next find the equation for the surface area.
So, we have 5 sides (not 6 because we have no lid). The bottom side is a square, so it's area is w^2. Since we have a square base, the remaining four sides will have an area w(w+4). In other words:
[tex]93=w^2+4(w(w+4))[/tex]
The left term represents the area of the square base. The right term represents the area of one of the rectangular sides, times sides meaning four sides. Simplify:
[tex]93=w^2+4w^2+16w\\5w^2+16w-93=0[/tex]
This seems solvable. Let's try it. Trying factoring by guessing and checking.
We can see that it is indeed factor-able. -15 and 31 are the numbers:
[tex]5w^2-15w+31w-93=0\\5w(w-3)+31(w-3)=0\\(5w+3)(w-3)=0\\w=3\\h=w+4=7[/tex]
We ignore the other one because width cannot be negative.
So, the width/length is 3 and the height is 7. We can check this by plugging this into the volume formula:
[tex]63\stackrel{?}{=}(3)^2(7)\\63\stackrel{\checkmark}{=}63[/tex]
The instructor wants to give an A to the students whose scores were in the top of the class. What is the minimum score needed to get an A
Answer:
The minimum svore required to get an A is 85.3.
Step-by-step explanation:
Complete Question
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 8.
The instructor wants to give an A to the students whose scores were in the top 10% of the class. What is the minimum score needed to get an A?
Solution
Scores in the top 10% of the class will have a minimum greater than the remaining bottom 90% of the class.
If the minimum score for the top 10% of the class is x'
P(X ≤ x') = 90% = 0.90
If the z-score of this minimum score of the top 10%, x', is z'.
P(X ≤ x') = P(z ≤ z') = 0.90
using the z-distribution tables
z' = 1.282
But the z-score of any value is given as the value minus the mean divided by the standard deviation.
z = (x - μ)/σ
So,
z' = (x' - μ)/σ
Mean = 75
Standard deviation = 8
z' = 1.282
1.282 = (x' - 75)/8
x' = (1.282 × 8) + 75 = 85.256
= 85.3 to 3 s.f.
Hope this Helps!!!
Questions:
1. What do you notice about how the angles fit together around a point?
2. What is the measure of a straight angle?
3. Describe the relationship amoung the measure of the angles of ∆ABC
4. The triangle sum theorem states that forma ∆ ABC, m<A + m<A = 180°. Is this true? Explain
1. The angles form a straight angle
2. A straight angle is defined to be 180 degrees
3. The three angles of any triangle always add to 180, as the diagram shows.
4. This is false. We need to add the three different angles A,B,C to get 180. Adding angle A to itself may not lead to 180. A+A = 180 only happens when angle A is a right angle (90 degree angle).
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 11 ft high
Answer:
0.0526ft/minStep-by-step explanation:
Since the gravel being dumped is in the shape of a cone, we will use the formula for calculating the volume of a cone.
Volume of a cone V = πr²h/3
If the diameter and the height are equal, then r = h
V = πh²h/3
V = πh³/3
If the gravel is being dumped from a conveyor belt at a rate of 20 ft³/min, then dV/dt = 20ft³/min
Using chain rule to get the expression for dV/dt;
dV/dt = dV/dh * dh/dt
From the formula above, dV/dh = 3πh²/3
dV/dh = πh²
dV/dt = πh²dh/dt
20 = πh²dh/dt
To calculate how fast the height of the pile is increasing when the pile is 11 ft high, we will substitute h = 11 into the resulting expression and solve for dh/dt.
20 = π(11)²dh/dt
20 = 121πdh/dt
dh/dt = 20/121π
dh/dt = 20/380.133
dh/dt = 0.0526ft/min
This means that the height of the pile is increasing at 0.0526ft/min
janie and her friends played a question and answer game. their scores at the end of thegame were 14, 15, 8, 15, 3, 0, and 12. find the median score of the game
Answer:
12
Step-by-step explanation:
Well first step to finding median is order the scores from least to greatest,
0, 3, 8, 12, 14, 15, 15
Now we can start crossing the numbers off.
After we've crossed 3 numbers off from each side,
we get 12.
Thus,
12 is the median of the number set,
Hope this helps :)
Answer:
12
Step-by-step explanation:
First we need to put the numbers in order from smallest to largest
14, 15, 8, 15, 3, 0, and 12
becomes
0 , 3 , 8 , 12 , 14, 15, 15
Then the median is the middle number
There are 7 numbers
7/2 = 3.5
The middle is the 4th number ( 3 on the left and 3 on the right)
0 , 3 , 8 , 12 , 14, 15, 15
The median is 12
A rectangular waterbed is 8 ft long, 5 fr, wide and 1 ft tall.
How many gallons of water are needed to fill the waterbed?
Assume 1 gallon is 0.13 ft.³ round to the nearest whole gallon
Answer: 308 gallons of water.
Step-by-step explanation:
First find the volume of the water been.
The volume of a rectangular prism uses the formula
V= L * W *H
V = 8 * 5 * 1
V = 40 ft^3
Now we will convert 40ft into gallons using what they gave us that 1 gallon is 0.13 ft^3
[tex]\frac{1}{x} = \frac{0.13}{40}[/tex] which means if 1 gallon is 0.13 cubic feet how much will 40 cubic feet be when converted to gallons.
Solve by cross product.
0.13x = 40 divide both sides by 0.13
x= 308
In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system operated by the U.S. Postal Service (USPS). USPS would like to know whether the rate is at least 90% correct.
Required:
Do the data provide evidence that the rate is at least 90% at a 0.05?
Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
In a class full of men and women, 5 9 of the class are women. What is the ratio of men to women in its simplest form?
Which of the binomials below is a factor of this trinomial?
x2 - 5x+ 4
O A. X-1
O B. x2 + 4
C. X+4
D. X + 1
Answer:
A
Step-by-step explanation:
To factor x² - 5x + 4, we need to find 2 numbers that have a sum of -5 and product of 4; these 2 numbers are -1 and -4 so the factored version is (x - 1)(x - 4). Since x - 4 is not an answer choice but x - 1 is, the answer is A.
Please help. I’ll mark you as brainliest if correct!
Answer:
(x, 2 -2x)
Step-by-step explanation:
Written in standard form, both equations are ...
2x +y = 2
Since they are both the same, there are an infinite number of solutions. We can write those solutions in terms of x as ...
y = 2 -2x
The solutions are ...
(x, 2 -2x)
If you continue adding fractions according to this pattern when will you reach a sum of 2?
Answer:
You will never be able to reach the sum of 2
Step-by-step explanation:
A company manufacturing oil seals wants to establish X and R control charts on the process. There are 25 preliminary samples of size 5 on the internal diameter of the seal. The summary data (in mm) are as follows:
sigma^25_i = 1 X_t = 1, 253.75, sigma^25_i = 1 R_i = 14.08
(a) Find the control limits that should be used on the X and R control charts. For n = 5, A2 = 0.577, D4 = 2.114, D3 = 0
(b) Assume that the 25 preliminary samples plot in control on both charts. Estimate the process mean and standard deviation.
Answer:
A ) i) X control chart : upper limit = 50.475, lower limit = 49.825
ii) R control chart : upper limit = 1.191, lower limit = 0
Step-by-step explanation:
A) Finding the control limits
grand sample mean = 1253.75 / 25 = 50.15
mean range = 14.08 / 25 = 0.5632
Based on X control CHART
The upper control limit ( UCL ) =
grand sample mean + A2* mean range ) = 50.15 + 0.577(0.5632) = 50.475
The lower control limit (LCL)=
grand sample mean - A2 * mean range = 50.15 - 0.577(0.5632) = 49.825
Based on R control charts
The upper limit = D4 * mean range = 2.114 * 0.5632 = 1.191
The lower control limit = D3 * mean range = 0 * 0.5632 = 0
B) estimate the process mean and standard deviation
estimated process mean = 50.15 = grand sample mean
standard deviation = mean range / d2 = 0.5632 / 2.326 = 0.2421
note d2 is obtained from control table
Does it take more large paper clips or small paper cps lined up end to end to measure the
width of a piece of printer paper? Explain.
Answer:
Step-by-step explanation:
You haven't answered any questions, yet…
What equation results from completing the square and then factoring? x^2+22x=31 A.(x+22)^2=53 B.(x+22)^2=152 C.(x+11)^2=152 D.(x+11)^2=53
Answer:
[tex]\boxed{\mathrm{Option \ C}}[/tex]
Step-by-step explanation:
=> [tex]x^2+22x = 31[/tex]
=> [tex](x)^2+2(x)(11) = 31[/tex]
Since b = 11 , So [tex](11)^2[/tex] needs to be added to both sides
Adding [tex](11)^2[/tex] to both sides
=> [tex](x)^2+2(x)(11)+(11)^2 = 31+(11)^2[/tex]
Completing the square
=> [tex](x+11)^2 = 31+121[/tex]
=> [tex](x+11)^2 = 152[/tex]
1. Find the sum of the first five (5) terms of the arithmetic progression
60 + 91 +122 ---.
Step-by-step explanation:
to find the sum of nth term
equation is
n/2 ( 2a + (n-1)d) where a is the 1st term and d is the common difference
5/2 ( 120 +( 4 × 31))
5/2 ( 120 + 124)
5/2 × 244
5 × 122 dividing 244 by 2
610
Answer: 610
Step-by-step explanation:
This sequence starts at 60 and increases by increments of 31. Thus, to get the last two numbers, do 122+31=153, and 153+31=184. Then add 60+91+122+153+184 to get 610.
Hope it helps <3
Given: AB = CD 1 = 4 Prove: AD = CB Which of the following triangle congruence theorems would be used in this proof? SSS SAS ASA
Answer:
SAS
Step-by-step explanation:
.. cuz, it just is c:
By ''SAS congruency'' theorem we can prove AD = CB.
We have to given that,
In a figure,
AB = CD
∠1 = ∠4
Now, In triangle ADC and triangle ABC,
AC = AC (Common side)
∠1 = ∠4 (Given)
AB = CD (Given)
Hence, By SAS Congruency theorem,
Δ ADC ≅ Δ ABC
So, We get;
AD = CB
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
The height of the right circular cylinder is 10 cm and the radius of the base is 7 cm. Then, the difference between the total surface area and the curved surface area is a) 300 cm^2 b) 308 cm^3 c) 308 cm^2 d) 308 cm
plz answer it fast I will mark them as the brainlist
Answer:
The answer is option C
308cm²Step-by-step explanation:
Total surface area of a cylinder is
2πr( r + h)
The curved surface area of a cylinder is
2πrh
where r and h are the radius and height respectively
h = 10cm
r = 7cm
Total surface area is
2π×7( 7 + 10)
14π ( 7 + 10)
98π + 140π
238π
Which is
748 cm²
The curved surface area is
2π (7)(10)
140π
Which is
440cm²
The difference between the total surface area and the curved surface area of the cylinder is
748 cm² - 440cm²
= 308cm²Hope this helps you
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft
Answer:
[tex]\boxed{Side \ Length \ of \ hot \ tub = 4.8\ ft.}[/tex]
Step-by-step explanation:
Scale Factor = 5
Also,
B'C' = 24 feet
Since both are squares so both have all sides equal.
Sqaure A'B'C'D' is dilated by a scale factor of 5
So,
AB = BC = CD = DA = 24/5 = 4.8 ft.
The length of one side of the hot tub is 4.8 feet and this can be determined by using the concept of dilation.
Given :
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet.The following steps can be used in order to determine the length of one side of the hot tub:
Step 1 - According to the given data, the dilation factor is 5.
Step 2 - So, after the dilation by a factor of 'a' the length of the side be 'b' becomes 'ab'.
Step 3 - So, according to the given data, the length of B prime C prime is 24 feet. Therefore, after the dilation by a factor of 5, the length of the segment BC becomes:
[tex]\rm =\dfrac{24}{5}=4.8\;feet[/tex]
So, the length of one side of the hot tub is 4.8 feet. Therefore, the correct option is b).
For more information, refer to the link given below:
https://brainly.com/question/2856466
You are considering a stock investment in one of two firms (Lotsof Debt, Inc. and LotsofEquity, Inc.), both of which operate in the same
industry. LotsofDebt, Inc. finances its $32.00 million in assets with $30.00 million in debt and $2.00 milion in equity. LotsofEquity, Inc.
finances its $32.00 million in assets with $2.00 million in debt and $30.00 million in equity.
Calculate the debt ratio. (Round your answers to 2 decimal places.)
Debt ratio
LotsofDebt, Inc.
LotsofEquity, Inc.
%
Calculate the equity multiplier. (Round your answers to 2 decimal places.)
LotsofDebt, Inc.
LotsofEquity, Inc.
Equity multiplier
times
times
Calculate the debt-to-equity. (Round your answers to 2 decimal places.)
Debt-to-equity
LotsofDebt, Inc.
LotsofEquity, Inc.
times
times
Answer:
LotsofDebt, Inc Debt Ratio is 93.75%
LotsofEquity, Inc Debt Ratio is 6.25%
equity multiplier LotsofDebt, Inc is 16
equity multiplier LotsofEquity, Inc is 1.0666666667
debt-to-equity LotsofDebt, Inc is $15 million
debt-to-equity LotsofEquity, Inc. is $0.0666666667 million
Step-by-step explanation:
In order to calculate the debt ratio of LotsofDebt, Inc and LotsofEquity, Inc. we would have to make the following calculations:
Debt Ratio = Debt/Assets
According to the given data we have the following:
LotsofDebt, Inc Debt=$30 million
LotsofDebt, Inc Asset=Debt + Equity = $30 million + $2 million = $32 million
Therefore, LotsofDebt, Inc Debt Ratio =$30 million/$ 32 million
LotsofDebt, Inc Debt Ratio= 93.75%
LotsofEquity, Inc. Debt=$2 million
LotsofEquity, Inc Asset= Debt + Equity = $2 million + $30 million
LotsofEquity, Inc Debt Ratio = $2 million/$32 million
LotsofEquity, Inc Debt Ratio = 6.25%
In order to calculate the equity multiplier of LotsofDebt, Inc and LotsofEquity, Inc. we would have to make the following calculations:
equity multiplier =Assets/Equity
equity multiplier LotsofDebt, Inc.=$32 million/$2 million
equity multiplier LotsofDebt, Inc= 16
equity multiplier LotsofEquity, Inc=$32 million/$30 million
equity multiplier LotsofEquity, Inc = 1.0666666667
In order to calculate the debt-to-equity of LotsofDebt, Inc and LotsofEquity, Inc. we would have to make the following calculations:
debt-to-equity LotsofDebt, Inc=Debt/Equity
debt-to-equity LotsofDebt, Inc=$30 million/$2 million
debt-to-equity LotsofDebt, Inc= $15 million
debt-to-equity LotsofEquity, Inc.= $2 million/$30 million = 0.0666666667
debt-to-equity LotsofEquity, Inc.= $0.0666666667 million
Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. 2 4 6 8 10 amount of sugar (mg) 180 182 184 186 188 190 192 194 Frequency What is the sample size for this data set?
Answer:
The sample size is 30.
Step-by-step explanation:
The sample size of a histogram can be calculated by summing up all the frequencies of all the occurrences in the data set
From the question the frequency is given as
Frequency = 2 4 6 8 10
The sample size n =
2 + 4 + 6 + 8 + 10
= 30
Therefore the sample size n of the data set = 30