500 ml into cm<br> Does anyone know the answer

(a) A parachutist lands at a point on the line between the points A and B, and the target is an operation at A. The operation fa

mr Goodwill [35]

Answer:

a) $\frac{B-\frac{A+5B}{6}}{B-A}= \frac{6B -A-5B}{6(B-A)}=\frac{B-A}{6(B-A)}=\frac{1}{6}$

b) $P(X>1) = 1-P(X\leq 1)=1-\int_{0}^1 \frac{1^{2} x^{2-1} e^{- x}}{\gamma(2)}=0.736$

Step-by-step explanation:

Part a

We assume that the parachutist lands at random point in the interval (x=A,y=B) we have a continuous random variable X. And the distribution of X would be uniform $Y\sim Unif(A,B)$ . And the density function would be given by:

$f(x) =\frac{1}{B-A} , A$

And 0 for other case.

The operation fails, if parachutist's distance to A is more than five times as much as her distance to B.

So the point P in the interval (A,B) at which the distance to A is exactly 5 times the distance to B is given by:

$P= A + \frac{5}{6} (B-A)= \frac{6A +5B -5A}{6}=\frac{A+5B}{6}$

And we can find the probability desired like this:

$P(d(P,A) \geq 5 d(P,B))= P(\frac{A+5B}{6} < X< B)$

And from the cumulative distribution function of X ficen by $F(X)\frac{X-A}{B-A}$ we got:

$\frac{B-\frac{A+5B}{6}}{B-A}= \frac{6B -A-5B}{6(B-A)}=\frac{B-A}{6(B-A)}=\frac{1}{6}$

Part b

For this case we assume that $X\sim Gamma (2,1)$

On this case we assume that $\alpha=2, \beta= 1$

The density function for the Gamma distribution is given by:

$P(X)= \frac{\beta^{\alpha} x^{\alpha-1} e^{-\beta x}}{\gamma(\alpha)}$

And on this case we can find the probability using the complement rule like this:

$P(X>1) = 1-P(X\leq 1)=0.736$

We can solve this problem with the following excel code:

"=1-GAMMA.DIST(1;2;1;TRUE)"

And if we do it by hand we need to do this:

$P(X>1) = 1-P(X\leq 1)=1-\int_{0}^1 \frac{1^{2} x^{2-1} e^{- x}}{\gamma(2)}=0.736$

6 0

2 years ago

Helpppp me pleaseeeee

tamaranim1 [39]

Answer:

Step-by-step explanation:

When you roll dice, there are 6 possible outcomes.

In order to not roll a 6, you'd have to roll either 1,2,3,4,5.

So you have a 5:6 chance of not rolling a 6.

But they're asking you to use the chart.

Based on the chart, you've rolled the die 24+10+8+3+30+15=90 times.

Of those 90 times, you rolled a 6 15 times.

Which means you did not roll a 6 90-15=75 times.

Therefore the probability of not rolling a 6, based on the chart, is 75/90=83%.

Notice that 5/6=83% as well. So this chart is fairly accurate.

Now for number 2.

Based on the chart, odd numbers appear 24+8+30=52 times out of the 90.

So we can say that odd numbers show up 52/90=58% of the time.

If James is rolling the cube 250 times, we know odd numbers will show up 58% of the time so, .58*250=144 is how many times we can expect to see an odd number appear.

6 0

3 years ago

The length of a rectangle is 4 m more than the width. If the area of the rectangle is 77 m2. How many meters long is the width o

kenny6666 [7]

Step-by-step explanation:

length = width + 4

length×width = 77

using the first in the second equation

(width + 4)×width = 77

width² + 4width = 77

now, what square or squaring factors can create this ?

we are looking for (width + a)(width + b).

we know, this is

width² + (a+b)width + ab

so, what a, b can create 4 (the factor in our actual equation) ?

1, 3 and 2, 2, if we are only looking at whole numbers.

and which of the possibilities can we use to turn 77 into a square number ?

81 is only 4 away ...

2+2 = 4.

aha !

so, we can actually say our equation is

width² + 4width + 4 = 77 + 4

and then

(width + 2)² = 81

width + 2 = 9

width = 7 m

length = width + 4 = 7 + 4 = 11 m

7 0

2 years ago

Supposed five plain hamburgers cost the same as three super burgers. Also suppose that one super burger cost $.30 more than one

noname [10]

Answer:

1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25

Step-by-step explanation:

We have three conditions

(1) 5P = 3S

(2) S = C + 0.30

(3) P = C – 0.20 Substitute (3) into (1)

=====

(4) 5(C – 0.20) = 3S Substitute (2) into (4)

5(C – 0.20) = 3(C + 0.30) Remove parentheses

5C – 1.00 = 3C + 0.90 Add 1.00 to each side

5C = 3C + 1.90 Subtract 3C from each side

2C = 1.90 Divide each side by 2

C = $0.95 Substitute C into Equation (2)

=====

S = 0.95 + 0.30

S = $1.25 Substitute C into Equation (3)

=====

P = 0.95 – 0.20

P = $0.75

1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25

3 0

3 years ago

Find the slope that passes through these two points.

barxatty [35]

Answer:

$m = \frac{ - 1 - 4}{2 + 3} \\ m = - 1$

Good luck!

Intelligent Muslim,

From Uzbekistan.

5 0

3 years ago

500 ml into cm Does anyone know the answer