Answer: B. 15
Step-by-step explanation: The number on the bottom of the fraction is always the denominator, therefore 15 is the denominator in the fraction.
A building is acquired on January 1,at a cost of 930,000 with estimated useful life of 8 years and salvage value of 73,700
Answer:
Year 1 = $196,000
Year 2= $156,800
Year 3= $125,440
Step-by-step explanation:
$980,000 x 20 % = $196,000
Net book value
$980,000 - $196,000 = $784,000 (to be used as base for year 2)
Year 2
$784,000 x 20% = $156,800
Net book value
$784,000 - 156,800 = $627,200
Year 3
$627,200 x 20% = $125,440
Net book value
$627,200 - $125,440 = $501,760
*Salvage value is ignored in computing the yearly depreciation expense under double-declining-balance method. The reason of it is that, it will take longer to depreciate an asset compare to it’s useful life if we deduct salvage value from original cost in depreciating an asset.
An instructor who taught two sections of statistics last term, the first with 20 students and the second with 30, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. a. What is the probability that exactly 10 of these are from the second section
Answer:
0.207 = 20.7% probability that exactly 10 of these are from the second section
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 + 30 = 50 total students, which means that [tex]N = 50[/tex]
30 students from the second section, which means that [tex]k = 30[/tex]
First 15 graded projects, so sample of 15, which means that [tex]n = 15[/tex]
a. What is the probability that exactly 10 of these are from the second section
This is P(X = 10).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 10) = h(10,50,15,30) = \frac{C_{30,10}*C_{20,5}}{C_{50,15}} = 0.207[/tex]
0.207 = 20.7% probability that exactly 10 of these are from the second section
In a triangle, JKL,< J measures 35 degrees and k is a right angle. What's the measure of l.
Answer:
55°
Step-by-step explanation:
180 - 35 - 90 = 55°
Answer:
55 degrees
Step-by-step explanation:
Hello There!
If you didn't know the measure of all of the angles in a triangle have a sum of 180
So to find a missing angle we subtract the two given angles from 180
We are given that one angle = 35 degrees
and another angle is a right angle
(a right angle measure 90 degrees)
Given this information we can find the missing angle of I
angle I = 180 - 90 - 35
180 - 90 - 35 = 55
so we can conclude that the measure of angle I is 55 degrees
PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST!!!!!
Answer:
The average cost of a cat's annual visit is about $23.71 less at A New Leash on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff Stuff Animal Hospital.
Explanation:
As you can see from the data and graph given, the Mean is essentially the average cost and $101.13 (New Leash on Life) is $23.71 less than $121.84 (No Ruff Stuff Animal Hospital).
Solve the equation for y.
11x + 8y = 3
6x-1/2=1 solve this equation
Answer:
cross ❌ multiply
6x-1=2
6x=2+1
6x=3
divide both sides by 6
x=1/2
which technique is best to use for x² + 4x = 15
U want to go x2 plus x so its x3 then 4x3times -15 so x=3.33333
how do you convert from kilometers to square meters
Answer:
To convert square km to square meters, multiply the square km value by 1000000
Step-by-step explanation:
Savannah is going to invest in an account paying a interest of 1.6% compounded continuously. How much would Savannah need to invest to the nearest hundred dollars for the value of the account to reach $41,000 in 11 years
Answer: 34400 on delta math
Step-by-step explanation:
Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40% chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be of number of houses it takes a. Name distribution (with parameter(s)) of X. What is the probability he sells his last candy bar at the 11th house
Answer:
It will take him about 13 houses to sell the 5 candy bars.
Pat has an 18% chance of selling his last candy in the 11th house.
Step-by-step explanation:
Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:
5 / 0.40 = X
12.5 = X
So, it will take him about 13 houses to sell the 5 candy bars.
5/11 = X
0.45 = X
0.45 x 0.4 = 0.18
Thus, Pat has an 18% chance of selling his last candy in the 11th house.
I need help with 4,6,7 and 8
Answer:
4) 180
6)194.4
7) 691.2
8) 8.1
Step-by-step explanation:
I think....srry if im wrong
M=2 can some one help me I need to evaluate the expression it says hint substitute m for 2
Answer:
LOL I NEED POINTS SORRY NOT SORRY
Step-by-step explanation:
Which property is shown by the equation 23 + 0 = 23
Answer:
The identity property of addition
Step-by-step explanation:
It is the identity property of addition.
3/4x=5/8 what does x= i couldnt find the answer
[tex]\frac{5}{8}\frac{3}{4}[/tex]=x
x=[tex]\frac{5}{8} *\frac{4}{3}[/tex]
x=[tex]\frac{5}{6}[/tex]
I'll give points and brainalist for answer / explanation
Answer:
D. 8
Step-by-step explanation:
C= 2πr
π= 3.14
C= 25.12
25.12 = 2 * 3.14 * r
r= 4
d= 2r
d= 8
what is the slope of the line !?!?!
Answer:
Slope is -2
Step-by-step explanation:
Given the phrase "Rules of Exponents," what might the word "Rules" mean?
Answer
I think they are things that you have to follow in order to work with the exponents
What is lower quartile the median upper quartile for these numbers 1,3,4,6,6,8,9
Answer:
Step-by-step explanation:
Quartile means fourth
break up the numbers in to 4 groups, start by finding the middle numbers and split the numbers in half. Then split both of those two groups in half to find the quartiles.
Lower quartile is the group with the smallest numbers.
Median is the middle number (of the whole group).
Upper quartile is the group with the largest numbers.
-(3x + 1) > -7+3x
Plz help with this
Answer:
x<1
Step-by-step explanation:
Treat it like a normal equation
Distribute: -3x-1>-7+3x
Isolate x: -6x>-7+1
Because we are dividing by a negative number, we need to flip the sign
x<1
Answer:
0, -1
Step-by-step explanation:
1. Plug in for 5:
-(15 + 1) > -7 + 15
-16 > 8 (FALSE)
2. Plug in for 1
-(3 + 1) > -7 + 3
-4 > -4 (FALSE, they are equal)
3. Plug in for 0
-(0 + 1) > -7 + 3(0)
-1 > -7 (TRUE)
4. Plug in for -1
-(-3 + 1) > -7 - 3
-(-2) > -10
2 > -10 (TRUE)
5. Plug in for 20
-(60 + 1) > -7 + 60
-66 > 53 (FALSE)
6. Plug in for -32
-(96 + 1) > -7 + 96
-97 > 89 (FALSE)
You can find the answer by just plugging in for x. It's very easy and the rest is just addition and multiplication, so please put some effort. Hope this helps! :)
norma has 3/8 cake left over from her birthday party. she ate 3/4 of the leftover birthday cake at lunch. how much of the whole cake did norma have at lunch?
Answer:
1/2
Step-by-step explanation:
2878344
3562038
X 3570 =
Answer:
ucgr4ychch379c
Step-by-step explanation:
PLEASE HELP ASAP!!!!
I don't know the answer but someone who does will tell you.
Reuben walks 2.5 km every day. How far does he walk in 7 days?
Write your answer in meters.
Reuben walks a total distance of 17500 meters in 7 days.
To find the total distance Reuben walks in 7 days, we can multiply his daily distance by the number of days.
Reuben walks 2.5 km every day, and we want to find the total distance in 7 days. To convert kilometers to meters, we know that 1 kilometer is equal to 1000 meters. Therefore, we can multiply the daily distance in kilometers by 1000 to get the daily distance in meters:
2.5 km/day * 1000 m/km = 2500 m/day
Now we can find the total distance walked in 7 days by multiplying the daily distance by the number of days:
2500 m/day * 7 days = 17500 meters
It's important to note that this calculation assumes Reuben walks the same distance every day without any variation. If his daily distance were to change, the total distance walked in 7 days would also change accordingly. Additionally, this calculation is based on the given information and assumes there are no rest days or breaks during the 7-day period.
For more such questions on distance
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Triangle RST reflectid over the x-and then translated 4 unita to the right What are the coordinates of the final image in its new position?
Answer:
R" (0,3)
S" (1,1)
T" (4,2)
Step-by-step explanation:
The reflection of the point (x, y) across the x-axis is the point (x, -y).
Translate right 4- add 4 to the x coordinate
R ( -4, -3 ) R' ( -4 , 3) R" ( 0 , 3)
S ( -3, -1) S' (-3 , 1) S" ( 1 , 1)
T ( 0 , -2) T' (0, 2) T" ( 4 , 2)
if i have 46% of something done but i need 100% done in 25 days how many percent should i complete everyday by
lll give points and brainalist for correct answer / explanation
Answer:
D
Step-by-step explanation:
A. false; the diameter of a circle is double the radius
B. false; the diameter of a circle is double the radius
C. false; the diameter of a circle is double the radius
D. true! The diameter is double the radius
An estimated 1.8 million students take on student loans to pay ever-rising tuition and room and board (The New York Times, April 17, 2009). It is also known that the average cumulative debt of recent college graduates is about $22,500. Let the cumulative debt among recent college graduates be normally distributed with a standard deviation of $7,000. Approximately how many recent college graduates have accumulated a student loan of more than $30,000
Answer:
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average cumulative debt of recent college graduates is about $22,500, standard deviation of $7,000.
This means that [tex]\mu = 22500, \sigma = 7000[/tex]
Proportion more than 30000.
1 subtracted by the pvalue of Z when X = 30000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30000 - 22500}{7000}[/tex]
[tex]Z = 1.07[/tex]
[tex]Z = 1.07[/tex] has a pvalue of 0.8577
1 - 0.8577 = 0.1423
Approximately how many recent college graduates have accumulated a student loan of more than $30,000?
0.1423 out of 1.8 million.
0.1423*1.8 = 0.25614 million = 256,140
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
Write 5x – 4y = 10 in slope-intercept form
A 90 ounce bag of nuts has cashews and peanuts in it. The peanuts weight is 10 more than 3
times the weight of the cashews. Find the weight of the cashews and peanuts.
Answer:
20 ounces of cashews and 70 ounces of peanuts
Step-by-step explanation:
x+3x+10=90
4x+10=90
4x=80
x=20
HELP PLS MIGHT GIVE BRAINLIST ONLY OF TWO PEOPLE ANSWER!
Answer:
point (-2, -1) would change to (-2 ,0) and the new area would be 10 square units