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3 years ago

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The probability that Stu buys a sandwich is 0.5. The probability that Stu gets the bus is 0.8. Assuming the events are independe

nt, what is the probability that Stu buys a sandwich and gets the bus?

1 answer:

GrogVix [38]3 years ago

5 0

Answer:

0.4

Step-by-step explanation:

hegarty maths

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A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

4 0

3 years ago

Can anyone please help and the answer is not 8 so please help

rodikova [14]

Answer:

5

Step-by-step explanation:

to find the answer you need to put this equation into a calculator

the square root of (4-8) squared + (3-6) squared

to find the distance this is put in the distance formula of

the square root of (x2-x1)squared + (y2-y1)squared

5 0

3 years ago

54. Find <img src="https://tex.z-dn.net/?f=y%5E%7B%5Cprime%7D" id="TexFormula1" title="y^{\prime}" alt="y^{\prime}" align="absmi

Stella [2.4K]

Step-by-step explanation:

Take the natural log of both sides:

$ln ({x}^{y} ) = ln ({y}^{x} )$

Logarithm rules allow you to bring down the exponents:

$yln(x) = xln(y)$

Now differentiate. We will have to implicitly differentiate 'y' since it is a function of 'x'. Both sides require the product rule:

$\frac{dy}{dx} ln(x) + \frac{y}{x} = ln(y) + \frac{x}{y} \frac{dy}{dx}$

Isolate the terms that have y' since that is what we want:

$\frac{dy}{dx} ln(x) - \frac{x}{y} \frac{dy}{dx}= ln(y) - \frac{y}{x}$

Factor out y' to get:

$\frac{dy}{dx}( ln(x) - \frac{x}{y})= ln(y) - \frac{y}{x}$

Therefore:

$\frac{dy}{dx} = \frac{ln(y) - \frac{y}{x} }{ln(x) - \frac{x}{y} }$

7 0

2 years ago

Find the slope of the line that contains (2, -10) and (-4,2)

Daniel [21]

Answer:

2.

Step-by-step explanation:

7 0

3 years ago

What is proportion setup for 380 raisins in a box and uses 5 per gingerbread man. needing to set up to find out how many dozens

Darina [25.2K]

380/5=76
76/12=6.33
You can make six doxens

6 0

3 years ago