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Gemiola [76]
3 years ago
9

If x varies inversely as y, and x=6 when y=72, find x when y=36

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

12

Step-by-step explanation:

x = k/y           Multiply each side by y

k = xy            Insert values

  = 6 × 72

  = 432

x = 432/y     Let y = 36

  = 432/36

x = 12

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3. Simplify.<br><br> 312⋅312 <br><br> 4. Rewrite n√xm<br><br> using a rational expression.
Dmitry_Shevchenko [17]

Answer:


Step-by-step explanation:

Left

As near as I can tell, the question is x^(1/2) * x^(1/2) = The bases are the same, so all you do is add the powers.

x^(1/2 + 1/2) = x^1 which is just x.

Right

The is another one where the work is hard to show. The numerator (m) of the fraction is the power and the denominator (n) is the root. That sentence is all the work there is.

So you would write \sqrt[m]{x^{n} } = x^{\frac{m}{n} }


6 0
3 years ago
Read 2 more answers
The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using
Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

  • 68.27% of the data lies within one standard deviation of the mean.

  • 95.45% of the data lies within two standard deviations of the mean.

  • 99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

                \Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

5 0
2 years ago
what does the rate of change represent? i left answer choices on there. also is this linear or non linear?
denpristay [2]
Rate of Change represents the number of apartments cleaned each hour & this is linear.
5 0
3 years ago
1/3 +5 =<br>how do I solve <br>​
jarptica [38.1K]

Answer: 16/3 or 5.333333

Step-by-step explanation:

1/3 is 0.3333333 so 0.3333333 + 5 is 5.333333

4 0
2 years ago
Read 2 more answers
I really need help with this one please help
Dominik [7]

Yo sup??

a.For this part just draw a triangle with sides 4,8 and 8 inches respectively.

The sides having 8 inches should make equal angle with the base side.

b.One angle is 20

The other two angles be x and y

but x=y because its an isosceles triangle

x+y+20=180

2x=160

x=80

Hope this helps.

5 0
3 years ago
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