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Ad libitum [116K]
3 years ago
6

The average of 6 ages men is 35 years and the average of four of them is 32. Find the ages of the remaining two men if one is 3

years older than the other
Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

the first one must be 39.5 and the other 42.5

Step-by-step explanation:

multiply 35 by 6 and subtract 32 x 4 you are left with 82. Divide that by 2 and make the difference 3.

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(2/5,-2/5),(-7/8,-3/5)
Misha Larkins [42]

Answer: (-19/80, -1/2)

Step By Step Explanation:

First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.

3 0
3 years ago
During a rock concert, the noise level (in decibels) in front row seats has a mean of 92 dB with a standard deviation of 9 dg_ W
rodikova [14]

Answer:

The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.

Step-by-step explanation:

When we do not know the shape of the distribution, we use the Chebyshev's Theorem to find the minimum percentage of a measure within k standard deviations of the mean.

This percentage is:

p = 1 - \frac{1}{k^{2}}

Within 8 standard deviations of the mean

This means that k = 8. So

p = 1 - \frac{1}{8^{2}} = 1 - \frac{1}{64} = \frac{64 - 1}{64} = \frac{63}{64} = 0.9844

The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.

6 0
3 years ago
Subtract the polynomials.<br><br> (5x^2 −3x − 2) − (−2x^2 − x + 10)
zhuklara [117]
Let's simplify step-by-step.<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>−<span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span><span>5<span>x2</span></span>−<span>3x</span></span>−2</span>+<span><span>−1</span><span>(<span><span><span>−<span>2<span>x2</span></span></span>−x</span>+10</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span><span>−1</span><span>(<span>−<span>2<span>x2</span></span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(10)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span>5<span>x2</span></span>+</span>−<span>3x</span></span>+</span>−2</span>+<span>2<span>x2</span></span></span>+x</span>+</span>−10</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span>5<span>x2</span></span>+<span>−<span>3x</span></span></span>+<span>−2</span></span>+<span>2<span>x2</span></span></span>+x</span>+<span>−10</span></span></span><span>=<span><span><span>(<span><span>5<span>x2</span></span>+<span>2<span>x2</span></span></span>)</span>+<span>(<span><span>−<span>3x</span></span>+x</span>)</span></span>+<span>(<span><span>−2</span>+<span>−10</span></span>)</span></span></span><span>=<span><span><span>7<span>x2</span></span>+<span>−<span>2x</span></span></span>+<span>−12</span></span></span>Answer:<span>=<span><span><span>7<span>x2</span></span>−<span>2x</span></span>−<span>12</span></span></span>
4 0
3 years ago
Read 2 more answers
Is 3 to the negative 1 power times 3 to the negative 1 power equal to 3 to the 1 power?
iren2701 [21]
To make the exponent positive, make a fraction. 1/3 * 1/3. This is 0.1 repeating. 3^1 is 3. So the answer is no.
3 0
3 years ago
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the m
White raven [17]

Answer :

  • 1 (i).
  • slope \:  =  -  \frac{1}{6}
  • (ii).
  • midpoints \:  = (1 \:  \:  \frac{17}{2} )
  • (iii) .
  • distance \:  =  \sqrt{37}
  • 2(i).
  • slope \:  = 2
  • gradient \:  =  -  \frac{1}{2}
  • I Hope it helps :)

8 0
3 years ago
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