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Luba_88 [7]
3 years ago
11

a dollhuse has a bed with diemesions 1/12 size of a queen size bed has an area of 4,800 square inches, and a length of 80 inches

. what are the side lengths of the dollhouse bed?
Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0
The queen sized bed has an area of 4800 and one side is 80 inches,so you merely divide to get the other side. Then, if the dollhouse bed is 1/12 of the queen sized bed, you need to divide each side by 12. 4800/80=60. 80/12= 6.6667... 60/12= 5. 5x6 1/3.
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The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes
mixer [17]

Answer:

0.02275

Step-by-step explanation:

We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.

We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.  

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Sample score,

\mu = Mean,

\sigma = Standard deviation.

z=\frac{60-80}{10}

z=\frac{-20}{10}

z=-2

Now, we will use normal distribution table to find area under z-score of -2 as:

P(z< -2)

P(z< -2)=0.02275

Therefore, the probability of completing the exam in one hour or less is 0.02275.

7 0
3 years ago
If aſc and a +b = C, prove that a|b.
mars1129 [50]

Answer with Step-by-step explanation:

Since we have given that

a + b = c

and a|c

i.e. a divides c.

We need to prove that a|b.

⇒ a = mb for some integer m

Since a|c,

So, mathematically, it is expressed as

c= ka

Now, we put the above value in a + b = c.

So, it becomes,

a+b=c\\\\a+b=ka\\\\b=ka-a\\\\b=a(k-1)\\\\\implies a|b

a=mb, here, m = k-1

Hence, proved.

7 0
3 years ago
Please help thank you​
nikdorinn [45]

Answer:

See explanation

Step-by-step explanation:

(x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract x^2(x-2) from the original expression, leaving you with 9x^2+2x-40.

Next, subtract 9x(x-2) from the expression, leaving you with 20x-40. Finally, subtract 20(x-2) from the expression, leaving you with a remainder of 0. This means that the real quotient is x^2+9x+20. Hope this helps!

6 0
3 years ago
Jackson’s age was 2/fifth of the age he will be 20 years from now seven years ago. How old is Jackson now?
Margaret [11]
Let's say Jackson's age now is x.

In 20 years, (so 20+x), Jackson seven years ago will be 2/5ths of that age.

So 2/5(20+x)=x-7

Then you solve the equation
8+2/5x=x-7
15=3/5x
x=25
Jackson is 25 years old. 

Let's check our answer! In 20 years, Jackson will be 45. 7 years ago, he was 18. 2/5 of 45 is 18. Our answer is correct!

5 0
3 years ago
Read 2 more answers
there are 500 hundred pages. if the book has 25 chapters and each chapter is 20 pages long. what is the chance that of randomly
nataly862011 [7]
20/500
0.04 of a chance
because 1 chapter has 20 pages and the book has 500
so the chance of you flipping to chapter 12 out of 500 pages is 4% of a chance
6 0
3 years ago
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