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SCORPION-xisa [38]
3 years ago
7

The difference between 2 numbers is 52. The sum of one-fourth the larger number and twice of the smaller number is 85. Find the

2 numbers, and show your work
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0
x\ \textless \ y\\\\
y-x=52\\
\dfrac{y}{4}+2x=85\\\\
y=52+x\\
y+8x=340\\\\52+x+8x=340\\
9x=288\\
x=32\\\\
y-32=52\\
y=84

32 and 84
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Help ASAP i'll mark u brainliest pls
Lena [83]

Answer:

About <em>4 hours.</em>

Step-by-step explanation:

To find the answer we will <em>add both percentages</em> of <u><em>Watching TV</em></u> and <u><em>Homework</em></u>.  8% + 13% = <em>21%</em>.  Now we will <em>divide 100 by 21</em> and we get<em> 4 hours a day.</em>

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3 years ago
Restless Leg Syndrome and Fibromyalgia
Anna11 [10]

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

<em>F</em> = a person with fibromyalgia

<em>R</em> = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}

            =\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183

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3 0
3 years ago
​Recently, a random sample of 13-18 year olds was​ asked, "How much do you currently have in​ savings?" The data in the table re
Sonbull [250]

Answer:

μ = 235.38

σ = 234.54

Step-by-step explanation:

Assuming the table is as follows:

\left[\begin{array}{cc}Savings&Frequency\\\$0-\$199&339\\\$200-\$399&86\\\$400-\$599&55\\\$600-\$799&18\\\$800-\$999&11\\\$1000-\$1199&8\\\$1200-\$1399&3\end{array}\right]

This is an example of grouped data, where a range of values is given rather than a single data point.  First, find the total frequency.

n = 339 + 86 + 55 + 18 + 11 + 8 + 3

n = 520

The mean is the expected value using the midpoints of each range.

μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520

μ = 122400 / 520

μ = 235.38

The variance is:

σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)

σ² = 55009.7

The standard deviation is:

σ = 234.54

6 0
3 years ago
A gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs, 61 yellow gumballs, and 30 pink gumballs. What
Veseljchak [2.6K]
52% of 200
52/100=26/50=13/25•200/1= 2600/25=2600 divided by 25 is 104
The answer is 104
7 0
3 years ago
Read 2 more answers
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