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nevsk [136]
3 years ago
5

sixteen more than 5 times the quantity of a number minus 6 is 20. find the number. will mark brainliest only if shown work.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
4 0
16+5x-6=20
5x+16-6=20
5x+10=20
5x=20-10
5x=10
x=10/5
x=2
Answer: 2. 
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What expressions equal to 1 forth of 52
Klio2033 [76]
Remember that x/4 and 1/4*x is the same thing.

1/4*52 is therefore the same as 52/4. Fractions represent division, so 52 divided by 4 is also correct.
0.25*x is the same as 1/4*x because 1/4=0.25
4% of 52 is incorrect because the decimal form of 4% is 0.04, which is not the same as 0.25

Final answer: B
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4 years ago
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What is the range and domain of f(x)=60-0.18x
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3 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
(I've been trying to figure this out for 3 days and I really need help)
liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

1)

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7

2)

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55

3)

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

4)

pretty much the same thing, we get the volume of the cone and its top, add them up.

\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^

8 0
3 years ago
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lorasvet [3.4K]

Observation that we can make is min = 10, max = 19, range = 9, Maximum frequency of a number is 12, Average = 12.9, median = 12, mode = 12 it is slightly skewed on the right.

Step-by-step explanation:

  • It is imperative to create a data in a tabular column before analyzing.
  • Once the data is created use tally marks or frequency distribution.
  • Frequency distribution helps the data to provide occurrence of event.
  • Very important to number which is a counting numbers are discrete.
  • Continuous of data are ones which are in decimal.
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  • Range is at what level data is expanded.
  • Average is the one numeric of a number.
  • Median is the mid point of data
  • Mode is the repetitive number of the data.
  • Skewness is whether data is having extreme directions.
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