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emmainna [20.7K]
3 years ago
14

Yossi used to have a square garage with 286 ft of floor space. He recently built an addition to it. The garage is still a​ squar

e, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?
Mathematics
2 answers:
Lina20 [59]3 years ago
8 0
The first side is 71.5
the extended side is 107.25
i am pretty sure about this
son4ous [18]3 years ago
8 0

Answer:67

Step-by-step explanation:

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Sam makes some bread rolls. He gives 2/5 of the bread to his neighbor and 4/9 of the remainder to his cousin. He has 15 tools le
Cerrena [4.2K]

Answer:

Sam initially made 45 bread rolls

Step-by-step explanation:

Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =

2x/5 bread rolls to his neighbor.

The remainder would be x - 2x/5 =3x/5

He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45

=4x/15

He has 15 bread rolls left

Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor

x = 15 + 4x/15 + 2x/5

Taking LCM of 15 and cross multiplying

15x= 225+4x + 6x

15x = 225 +10x

15x-10x = 225

5x = 225

x = 225/5 =45

Sam initially made 45 bread rolls

4 0
4 years ago
If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even face
Bezzdna [24]
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
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etc.    There 27 of them.

Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .
5 0
3 years ago
How can i use substraction to describe divison? <br> I’ll mark u as the brainliest
makvit [3.9K]
Repeated subtraction is a method of subtracting the equal number of items from a larger group. It is also known as division. If the same number is repeatedly subtracted from another larger number until the remainder is zero or a number smaller than the number being subtracted, we can write that in the form of division
8 0
3 years ago
815 gal/h=_______qt/sec
Nastasia [14]
815 x 360 =  293,400 gal per second.

293,400 gal ÷ 4 quarts = 73,350 quarts per sec.

I'm fairly certain that's right - someone correct me if I'm mistaken.
6 0
3 years ago
A small town has 2000 families. The average number of children per family is mu = 2.5, with a standard deviation sigma = 1.7. A
Nikitich [7]

Answer:

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

6 0
3 years ago
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