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pashok25 [27]
3 years ago
8

What is w in this equation?-3w - 4 = w + 3​

Mathematics
2 answers:
gtnhenbr [62]3 years ago
4 0

Answer:

  w = -7/4

Step-by-step explanation:

-3w - 4 = w + 3​

-3w - w = 3 + 4

-4w = 7

  w = -7/4

grandymaker [24]3 years ago
3 0

Answer:

w = - 7/4

Step-by-step explanation:

-3w - 4 = w + 3

combine the like terms

-3w - w = 3 + 4

-4w = 7

divide both sides by -4

-4w/-w = 7/-4

w = - 7/4

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Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, ha
Andrews [41]

Answer:

1) Between 12.5 miles and 21.7 miles.

2) b) 75%

3) c) 95%

4) Between 13.7 miles and 20.5 miles.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by P = 100(1 - \frac{1}{k^{2}}).

1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.

Within k standard deviations of the mean, and k is found when P = 36. So

P = 100(1 - \frac{1}{k^{2}})

36 = 100 - \frac{100}{k^2}

\frac{100}{k^2} = 64

64k^2 = 100

k^2 = \frac{100}{64}

k = \sqrt{\frac{100}{64}}

k = \frac{10}{8}

k = 1.25

Within 1.25 standard deviations of the mean.

1.25*3.7 = 4.6 miles

17.1 - 4.6 = 12.5 miles

17.1 + 4.6 = 21.7 miles

Between 12.5 miles and 21.7 miles.

2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.

17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.

3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.

Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.

4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.

Within 1 standard deviation of the mean.

17.1 - 3.4 = 13.7

17.1 + 3.4 = 20.5

Between 13.7 miles and 20.5 miles.

6 0
3 years ago
Find the average rate of change of each function on the interval specified.
ExtremeBDS [4]

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}

So for f(x) = x² on [1, 5], the AROC of f is

f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}

4 0
2 years ago
A cubical house can hold 4096m of air .find the height of the house​
iren2701 [21]

Answer:

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Step-by-step explanation:

V = s^{3}

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5 0
3 years ago
3. A survey conducted among a group of 50 students showed that; (APPLYING)
Pani-rosa [81]

Answer:

Step-by-step explanation:

this is a set problem (mathematical set)

30 students played soccer

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x students played neither cricket nor soccer

3x students played cricket only.

we can see that in the first set 21 appears and in the middle of the set 9 because it says 30 students played soccer adding x and 3x we have the following formula

30 + x + 3x = 50 where x is equal to 5 then ask us Determine the number of students who played cricket. then the value would be 3x + 9 = (3x5) + 9 = 24

5 0
3 years ago
The one whoever solved it until 11 :00 am will be markrd as the branliest plus 20 points it arrange in ascending order with meth
Monica [59]

Answer:  

1)  1/6, 1/3, 1/2, 3/4

2)  3/10, 2/5, 7/10, 4/5

3)  1/4. 7/12. 2/3, 5/6

4)  4/15. 11/30, 2/5, 7/10

Step-by-step explanation:  Either convert all in a set to a common denominator, or convert to decimal fractions.

5 0
2 years ago
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