In which of the following situations should the t distribution be used? a. When the sample standard deviation is used to estimate the population standard deviation b. Only when the population mean is 0 c. When the sample size is less than 30 d. When the population is not normally distributed
Answer:
a. When the sample standard deviation is used to estimate the population standard deviation
Step-by-step explanation:
T or Z distribution:
If we have the standard deviation for the sample, we use the t-distribution.
If we have the standard deviation for the population, we use the z-distribution.
Thus, the correct answer for this question is given by option a.
Engro Incorporation wants to evaluate an acquisition of an equipment worth $200,000. Its marginal tax rate is 40 percent. If purchased, the depreciation of equipment will take place at straight line method. The salvage value of the equipment is assumed to be $20,000 at the end of its useful life of 10 years. If the equipment is purchased, Engro will finance the asset through borrowing from bank at annual before tax cost of 10%. further, if Engro decides to purchase the equipment, it will incur $1000 as annual maintenance expense each year. These expenses would not be incurred if the computer is leased. If leased, Engro can have the equipment at $28000 pre-tax rate per year, which is to be paid at the beginning of each year. Company’s weighted average after tax cost of capital is 12 percent.
Compute the net advantage to leasing (8 marks)
What alternative, leasing or owning, should be chosen
Answer:
I din nosjwjfkwifowockwofkwkfkekfkamcqkkr1o4k30rjdogiq
Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
DIBF
Step-by-step explanation:
I'm pretty sure it's that
Norton can mow the large lawn in about 5 hours. When he works with
Jesse, they can mow the same lawn together in about 3 hours. Which of
the following equations can be used to determine how long it would
take Jesse to mow the lawn by himself?
total. jobs
job. A
time. together time time
job. B
Answer:
7.5 hours
Step-by-step explanation:
The key here is to find out how much can be done in the same amount ot time
the least common multiple of 5 hrs and 3 hrs is 15hrs
In 15 hours:
- At 5 hours per lawn Norton could mow 15/5 = 3 lawns
- At 3 hours per lawn together thay could mow 15/3 = 5 lawns
In 15 hours Jesse would mow 5 - 3 = 2 lawns
15 hours/ 2 lawns = 7.5 hours per lawn
7.5 hours
--------------------
Here's the math
1 lawn/5hrs + x = 1 lawn / 3hrs
1/5 + x = 1/3
Subtract 1/5 from both sides
x = 1/3 - 1/5
x = 5/15 - 3/15
x = 2/15
x = 2lawns/15 hrs
15hrs/2lawns = 7.5 hrs per lawn
7.5 hours
What is the volume of the cone below?
O A. 396pie units 3
O B. 132 units 3
O C. 792pie units3
O D. 264pie units 3
Answer:
D. 264π units³
Step-by-step explanation:
1/3(πr²h)
1/3(π•6²•22)
1/3(π•36•22)
1/3(π•792)
264π
. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9 units. Find the length and width of the box.
Answer:
length = 5
width = 9
Step-by-step explanation:
V = lwh
let 'x' = length
let '4+x' = width
9 = height
405 = 9x(4+x)
405 = 36x + 9x²
this is a quadratic equation: 9x² + 36x - 405 = 0
factor out a 9 to get:
9(x² + 4x - 45) = 0
9(x-5)(x+9) = 0
one root is 5 and the other is -9
since distance cannot be negative we use 5 as the length and 9 is the width
65 ppl are at a movie and if 40% of them purchase sodas, how many ppl is this that have a soda?
Answer:
26
Step-by-step explanation:
How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:
Answer:
[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]
Step-by-step explanation:
Given
See comment for complete part of the question
Required
Make a stem and leaf plot
We have:
[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]
[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]
[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]
Categorize the dataset according to tens
[tex]47[/tex]
[tex]52, 57, 58, 58[/tex]
[tex]61, 66, 66, 68, 68[/tex]
[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]
[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]
[tex]90, 91, 91, 92, 93, 97[/tex]
So, the stem and leaf plot is:
[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]
what is the length of the hypotenuse?
please help!
Answer:
34
Step-by-step explanation:
Hypotenuse is the longest side
I hope this helped have a great day
Need the answer ASAP!! 20 points
Answer:
I think C. is it
Step-by-step explanation:
7th grade math help :)
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the sequence B: at least one flip comes up tails What is p(A | B)?
Answer:
2 / 7
Step-by-step explanation:
Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'
HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes
P (A) = 2 consecutive heads , P (B) = atleast one tail
P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8
P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8
P (A | B) = P ( A ∩ B ) / P (B)
P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8
So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7
ANSWER ASAP
Jennifer painted a tabletop that is shaped like a semi-circle. The diameter of the tabletop is 10 feet. What is the
area of the tabletop in square feet?
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
[tex]\frac{\pi r^2}{2}[/tex]
We can substitute what we have:
[tex]\frac{25\pi }{2}[/tex]
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
find rational numbers between
( -7 and 1/3)
5/9 and 2/3
[tex] \frac{ - 2}{5} and \frac{ - 3}{7} [/tex]
Answer:
i know there's a lot of explanation. but it helps u for sure :)
Step-by-step explanation:
1)
[tex]-7 \ and \ \frac{1}{3} = \frac{-7}{1} \ and \ \frac{1}{3}\\\\LCM \ of \ 1 \ and\ 3 = 3\\\\\frac{-21}{3} \ and \ \frac{1}{3}\\\\To \ find \ rational \ numbers \ between \ \frac{-21}{3} \ and \ \frac{1}{3} \ write \ any \ number \ between \ -21 \ and \ 1 \ with \ denominator \ 3. \\\\That \ is, \ \frac{-20}{3}, \frac{-19}{3}, \frac{-18}{3}.....[/tex]
2)
[tex]\frac{5}{9} \ and \ \frac{2}{3}\\\\Similarly \ take \ LCM \ of \ 9 \ and \ 3 = 9\\\\Since \ it \ is \ still \ complicated \ to \ find \ rational \ number \ between \ \frac{5}{9} \ and \ \frac{6}{9},[/tex]
[tex]because \ there \ exists \ no\ natural \ number \ between \ 5 \ and \ 6.[/tex]
[tex]We \ will \ multiply \ numerator \ and \ denominator\ by\ 10. \\\\Therefore\ \frac{5}{9} \ and \ \frac{6}{9} \ becomes \ \frac{50}{90} \ and \ \frac{60}{90}.[/tex]
[tex]Keeping \ denominator \ 90 \ write \ numbers \ from \ 50 \ to \ 60 \ in \ the\ numerator.\\\\That \ is , \frac{51}{90}, \frac{52}{90}, \frac{53}{90}, \frac{54}{90}, .\ .\ .[/tex]
3)
[tex]LCM \ of \ 5 \ and \ 7 = 35\\\\\frac{-2}{5} \ and \ \frac{-3}{7}\ becomes \ \frac{-14}{35} \ and \ \frac{-15}{35}\\\\Now \ multiply \ denominator \ and \ numerator \ by \ 10\\\\\frac{-140}{350} \ and \ \frac{-150}{350}.\\\\Rational \ numbers \ are \frac{-141}{350}, \frac{-142}{350}, \frac{-143}{350}, . \ . \ . \[/tex]
Tip :
1. Make the denominator same.
2. Multiply numerator and denominator by 10 , 100 or 1000
3. Just write the natural numbers between the 2 numerators keeping denominator same.
Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.
PLEASE ANSWER
The drop down selections are is is not for the first part and the second are is can/cannot
also, if there is a scalefactor please tell me what it is!
Answer:
Is can
Is can
1 is the answer
Step-by-step explanation:
But what’s the name of that topic?
Answer:
Is can
Is can
1 is the answer
Step-by-step explanation:
Please I need this ASAP
Answer:
Step-by-step explanation:
Always work from the inside out. That means we will deal with the parenthesis first: (4 - 1)
That gives us
2[32 - (3)³]. Next deal with the exponents. That gives us
2[32 - 27]. Next, the last set of parenthesis, which are actually brackets:
2[5] which then, finally, becomes 10
Order of operations...PEMDAS
What is the inverse operation of multiply by 12? A. add 12 B. subtract 12 C. multiply by 12 D. divide by 12
Answer:
D. divide by 12
Step-by-step explanation:
→ When you :
- Multiply, the inverse is divide
- Divide, the inverse is multiply
- Add, the inverse is minus
- Minus, the inverse is add
If 1=3
2=3
3=5
4=4
5=4, then 6=?
Answer:
six equal to eight?????
Which of the following elements represents part of the whole? a. percentage b. base c. rate d. both a and b
Answer:
Percentage
Step-by-step explanation:
Wat is the average number between 1,000, 2300,1000,2600
Answer:
here summation x = sum of all number
How do you solve the equation 3 1/5 +n=9?
Answer:
n = [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
You obviously have to solve for n
CAN SOMEONE HELP ME PLS
A because they are preserving? I guess that's the best way for me
Can someone explain this to me?
Answer:
#2. 6x3.14=1080 which is more than 18
A boy is flying two kites at the same time. He has 450 ft of line out to one kite and 390 ft to the other. He estimates the angle between the two lines to be 34 degrees. Approximate the distance between the kites.
Answer:
[tex]C=252.2ft[/tex]
Step-by-step explanation:
From the question we are told that:
First Kite Distance [tex]A=450ft[/tex]
Second Kite Distance [tex]B=390ft[/tex]
Angle [tex]\theta=34\textdegree[/tex]
Generally the equation for Distance X between the kites is mathematically given by
Using Cosine Rule
[tex]C^2=A^2+B^2-2abCos \theta[/tex]
Therefore
[tex]C^2=(450)^2+(390)^2-2(450)(390)Cos 34[/tex]
[tex]C^2=63607.81[/tex]
[tex]C=\sqrt(63607.81)[/tex]
[tex]C=252.2ft[/tex]
help needed with math
Answer:
angle y = 49°
Step-by-step explanation:
If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.
Frankie scores a 70% on her math test. The test had 20 questions. How many questions did she get correct?
Answer:
14 questions correct
Step-by-step explanation:
x/20 *100 = 70
so x/ 20 = 70/100(0.7)
x/20 = 0.7
x = 0.7*20
x =14
8 yd
10 yd
3 yd
Find the volume of the triangular prism.
A. 120 yd
B. 130 yd
C. 240 yd
D. 260 yd
Answer:
The answer for this question is 240 yd
PROBLEM 1. Veldora walked around the circular pool. The circular pool has a
diameter of 3 meters. What is the distance that Veldora has walked?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?________________________
Step 2 – Plan
What must be done to solve the problem? _________________
Step 3 – Solve and answer ___________________________
Carry out the plan & write the final answer. _______________
Step 4 – Check
Is the answer correct? _______________________
PROBLEM 2. How much greater is the circumference of the circle with a diameter of
12m than another circle with a radius of 5m?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?_______________________
Step 2 – Plan
What must be done to solve the problem?_________________
Step 3 – Solve and answer ________________________
Carry out the plan & write the final answer._______________
Step 4 – Check
Is the answer correct?_________
Answer:
9.42m
Step-by-step explanation:
I took this on a test. Was extremely difficult, but I remembered the answer after my 4th retake
The sum of two numbers is 80 and the difference is 20. What are the two
numbers?
Answer:
30 and 50
Step-by-step explanation:
its simple if you cant figure it out then drop out
In a box of 150 paper clips, 81 are red. Which equation represents the
percent of red paper clips, x, in the box?
Answer:
Step-by-step explanation:
X=150×81/100
X=12,150/100
X=121.5.