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allsm [11]
2 years ago
10

What two equivalent ratios for 30 to 6

Mathematics
1 answer:
alexgriva [62]2 years ago
5 0
Two equivalent ratios for 30 to 6 can be 15 to 3 or 45 to 9
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What is the difference in finding the exact vs approximate volume?
Bess [88]

Answer:

An exact number is one that has no uncertainty. An example is the number of tires on a car (exactly 4) or the number of days in a week (exactly 7). An approximate number is one that does have uncertainty. ... The number can be the result of a measurement.

Step-by-step explanation:

8 0
2 years ago
Let X ~ N(0, 1) and Y = eX. Y is called a log-normal random variable.
Cloud [144]

If F_Y(y) is the cumulative distribution function for Y, then

F_Y(y)=P(Y\le y)=P(e^X\le y)=P(X\le\ln y)=F_X(\ln y)

Then the probability density function for Y is f_Y(y)={F_Y}'(y):

f_Y(y)=\dfrac{\mathrm d}{\mathrm dy}F_X(\ln y)=\dfrac1yf_X(\ln y)=\begin{cases}\frac1{y\sqrt{2\pi}}e^{-\frac12(\ln y)^2}&\text{for }y>0\\0&\text{otherwise}\end{cases}

The nth moment of Y is

E[Y^n]=\displaystyle\int_{-\infty}^\infty y^nf_Y(y)\,\mathrm dy=\frac1{\sqrt{2\pi}}\int_0^\infty y^{n-1}e^{-\frac12(\ln y)^2}\,\mathrm dy

Let u=\ln y, so that \mathrm du=\frac{\mathrm dy}y and y^n=e^{nu}:

E[Y^n]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{nu}e^{-\frac12u^2}\,\mathrm du=\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{nu-\frac12u^2}\,\mathrm du

Complete the square in the exponent:

nu-\dfrac12u^2=-\dfrac12(u^2-2nu+n^2-n^2)=\dfrac12n^2-\dfrac12(u-n)^2

E[Y^n]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{\frac12(n^2-(u-n)^2)}\,\mathrm du=\frac{e^{\frac12n^2}}{\sqrt{2\pi}}\int_{-\infty}^\infty e^{-\frac12(u-n)^2}\,\mathrm du

But \frac1{\sqrt{2\pi}}e^{-\frac12(u-n)^2} is exactly the PDF of a normal distribution with mean n and variance 1; in other words, the 0th moment of a random variable U\sim N(n,1):

E[U^0]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{-\frac12(u-n)^2}\,\mathrm du=1

so we end up with

E[Y^n]=e^{\frac12n^2}

3 0
2 years ago
What is the cheapest way to buy 48 cans of cola
Inga [223]

Answer:

both the first one

Step-by-step explanation:

use unit rate

4 0
2 years ago
I need help on this...
maria [59]
7 . 112
8 . 246

for number 7 , you multiply 8 by 16 to get 128 then subtract both windows so you get 112

for number 8 , you find the area of the rectangle which is 10x26 = 260 then add the triangles area which is 130 and you get 390 then subtract the 16 window and 128 door
6 0
3 years ago
Does secondhand smoke increase the risk of a low weight birth? A baby is “low birth weight” if it weighs less than 5.5 pounds at
11111nata11111 [884]

Answer:

H0: p = 0.078

Ha: p ≠ 0.078

Step-by-step explanation:

The researchers say that the rate is about 7.8%, or 0.078 as a decimal.  That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it.  The reason there is a not equals to sign in the alternate is for this reason as well.  The researchers say it is about that amount, not more or less than that amount.  So it makes this a 2 tailed test.  If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.

7 0
3 years ago
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