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3 years ago

What is the probability of getting exactly 5 “heads” in 10 coin flips ?

2 answers:

6 0

There are $\dbinom{10}5=\dfrac{10!}{5!(10-5)!}=252$ ways of getting exactly 5 heads in 10 tosses. There are $2^{10}=1024$ possible outcomes. So the probability of getting exactly 5 heads is

$\dfrac{252}{1024}=\dfrac{63}{256}\approx24.61\%$

VladimirAG [237]3 years ago

4 0

Answer:

the answer is 63/256 or b

Step-by-step explanation:

You might be interested in

Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat

wlad13 [49]

Answer: Option C.

Step-by-step explanation:

Use the formula for calculate the volume of a cone:

$V=\frac{1}{3}\pi r^2h$

Where r is the radius and h is the height.

Volume of the cone A:

$V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3$

Volume of the cone B:

If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

$r_B=2r_A\\r_B=2*2in\\r_B=4in$

Then:

$V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3$

Divide $V_B$ by $V_A$ :

$\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4$

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.

5 0

3 years ago

Read 2 more answers

-5x-(8-x)=12 how do I solve this problem.<br> show a step by step please in a balance problem

Alex

Answer:

x = -5

Step-by-step explanation:

to evaluate for x in this this question -5x-(8-x)=12

the firsst step, you would open the bracket with - then evaluate for the value of x

solution

-5x-(8-x)=12

-5x -8 + x = 12

combine the like terms

-5x + x = 12 + 8

-4x = 20

divide both sides by the coefficient of x

-4x/-4 = 20/-4

x = -5

5 0

3 years ago

PLEASE HELP Residents of Eastport are convinced about the number of drivers who speed when driving down Main street. A group of

ZanzabumX [31]

Answer:

The answer is B I think

Step-by-step explanation:

They are talking about how they are convinced about the people who speed

3 0

2 years ago

Read 2 more answers

Find the critical value of x2 based on the given information H1 >3.5 n=14 a=0.05

egoroff_w [7]

Answer:

The degrees of freedom are given by:

$df = n-1=14-1=13$

The significance level is $\alpha=0.05$ and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is: