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Travka [436]
3 years ago
5

Mrs Williams has 30 students in her class 12 of her students are boys what percent of Mrs Williams students are boys

Mathematics
2 answers:
photoshop1234 [79]3 years ago
8 0
30 divided by 12 equals 2.5 so it should equal 2.5%
aleksley [76]3 years ago
4 0
12 out of 30 students are boys, so you can also say 12/30. 12/30 simplified is 4/10, or 40%.
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Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z
kompoz [17]

a.

f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}

is a proper joint density function if, over its support, f is non-negative and the integral of f is 1. The first condition is easily met as long as C\ge0. To meet the second condition, we require

\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}

b. Find the marginal joint density of X and Y by integrating the joint density with respect to z:

f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz

\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}

Then

\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy

\approx\boxed{0.12886}

c. This probability can be found by simply integrating the joint density:

\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz

\approx\boxed{0.012262}

7 0
3 years ago
No entiendo ayudaaaa
hram777 [196]
This is a pythagorean theorem problem therefore a^2+b^2=c^2
a=8, b=?, c=10
8^2+b^2=10^2
64+b^2=100
100-64=56
square root of b^2=square root of 56
b=2 rad14
2 rad14 +4=
2 (rad14 + 1)= ANSWER
4 0
3 years ago
Which statement BEST describes the growth of bacteria modeled by the function f(x)=1.8x
lara [203]

Answer:


Step-by-step explanation:

f(x) = 1.8x is a linear function and does not model the growth of bacteria.  Perhaps you meant f(x) = 1.8^x, which is an exponential function whose initial value is 1.  Please ensure that you have copied down this problem exactly as it was presented.



6 0
3 years ago
If 14 bags of mulch cost $51.10, how much would 35 bags Cost round answer to the nearest cent​
Sloan [31]

Answer:

127.80

Step-by-step explanation:

14 ÷ 51.10 = 3.65

3.65 × 35 = 127.75

127.75 = 127.80 (rounded off)

5 0
3 years ago
Round 8.85 to the nearest hundredths.
geniusboy [140]

Answer: 8.85 rounded to the nearest hundredths place is 8.85

Step-by-step explanation:

The hundredths place is at 0.0x <--(where the x is).

So rounding from the thousandths to the hundredths is 8.850 = 8.85

Simply put, 8.85 is rounded to the nearest hundredths itself already.

Rounding to the nearest <em>10th </em>place however, would give you 8.9.

Hope this helps!

6 0
3 years ago
Read 2 more answers
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