The prism below is made of cubes that measure 1/2 of an inch on one side. What is the volume?

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.

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

Answer:

4) 180

6)194.4

7) 691.2

8) 8.1

Step-by-step explanation:

I think....srry if im wrong

Answer:

they are perpendicular. If you want to check, go on desmos and put both equations there.

Answer:

ucgr4ychch379c

Step-by-step explanation:

[tex]\frac{5}{8}\frac{3}{4}[/tex]=x

x=[tex]\frac{5}{8} *\frac{4}{3}[/tex]

x=[tex]\frac{5}{6}[/tex]

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

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

Answer:

1090 in²

Step-by-step explanation:

The surface area of the two cube = 7x7x6 + 13x13x6 = 1308 in²

But noted that there are overlapping of the two cubes, thus we need to minus 7x7 in² from the answer. Also, we need to minus 13x13 from the answer as the bottom face of the larger prism do not require staining.

∴The required surface area is 1090 in²

The volume of the small cube and large cube will be 2540 in³.

Suppose that: The side length of the considered cube is L units. Then, we get:

Volume of that cube = L³ cubic units.

The edge length of the small cube is 7 in.

The edge length of the large cube is 13 in.

Then the volume of the small cube will be

Volume = 7³

Volume = 343 in.³

Then the volume of the large cube will be

Volume = 13³

Volume = 2197 in.³

Then the volume of the small cube and large cube will be

Volume = 2197 + 343

Volume = 2540 in.³

More about the volume of the cube link is given below.

https://brainly.com/question/26136041

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Answer:

The identity property of addition

Step-by-step explanation:

It is the identity property of addition.

Answer:

Slope is -2

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

DBC: 180 - 135

DBC: 45 degrees

Hope that helps!

I don't know the answer but someone who does will tell you.

Answer:

It is a right angle triangle.

Step-by-step explanation:

Use the pythagoras theorem. c^2 = a^2 + b^2.

5^2 = 4^2 + 3^2

25 = 16 + 9

25 = 25

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.

Answer:

t = 0.85 s

Step-by-step explanation:

Given that,

The speed of a car, v = 40 mph = 17.8816 m/s

Distance, d = 50 feet = 15.24 m

Let the time be t. The formula for speed is given by distance divided by time. So,

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{15.24 }{17.8816 }\\\\t=0.85\ s[/tex]

So, the required time is 0.85 s.

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)

U want to go x2 plus x so its x3 then 4x3times -15 so x=3.33333

Answer:

To convert square km to square meters, multiply the square km value by 1000000

Step-by-step explanation:

Answer

I think they are things that you have to follow in order to work with the exponents

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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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.

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! :)

Answer: 47°

Step-by-step explanation:

(x + 2)° + (x - 6)° = 90°

x + 2 + x - 6 = 90

2x - 4 = 90

2x - 4 + 4 = 90 + 4

2x = 94

[tex]\frac{2x}{2} = \frac{94}{2}[/tex]

x = 47°

Answer:

1/2

Step-by-step explanation:

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.

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu