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4 years ago

What is the probability that you will get heads four time in a row when flipping a fair coin?

1 answer:

7 0

The chance of that would be 6.25% because there's a 50% chance for the first flip, then 25% percent chance for the second throw, the third is 12.5%, and the chance for the fourth and final toss to be heads would be 6.25%.

You might be interested in

Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to

Tanya [424]

Answer:

0.2 ; 100 ; 4.84

Step-by-step explanation:

Given that the probability of each of the 5 groups is the same :

Sum of probability = 1

Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2

Expected number for each interval for a sample of 500 : ; X = 500

E(X) = X * P(x) = 500 * 0.2 = 100

Goodness of fit (X²) :

X² = Σ(X - E)² ÷ E

Groups :

113, 95, 108, 99, and 85

X : 113 ____ 95 ____ 108 ____ 99 _____ 85

(113 - 100)^2 / 100 = 1.69

(95 - 100)^2 / 100 = 0.25

(108 - 100)^2 / 100 = 0.64

(99 - 100)^2 / 100 = 0.01

(85 - 100)^2 / 100 = 2.25

(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84

7 0

3 years ago

A company's board of directors wants to form a committee of 2 of its members. There are 5 members to choose from. How many diffe

Butoxors [25]

Answer:

10 committees

Step-by-step explanation:

Let's say there names are Bob, Doris, Brenda, Alex, and Emma.

Bob and Doris

Bob and Brenda

Bob and Alex

Bob and Emma

Doris and Brenda

Doris and Alex

Doris and Emma

Brenda and Alex

Brenda and Emma

Alex and Emma

these are all different groups starting with only 5 people leading to 10 possible variations of the committee members

Hope that helps! :)

3 0

3 years ago

Last week, Arnold purchased 3 apples at the store for $3.90. This week he purchased 5 apples for $6.50. Help Arnold analyze the

Rudik [331]

Make a graph, and then try to relate the points to the price.

3 0

3 years ago

Use a recursive function for the geometric sequence 2, -4, 8, -16 to represent the 9th term. brainly

soldier1979 [14.2K]

Answer:

512

Step-by-step explanation:

(a)=a*r^( n − 1)

(9)=2*(-2)^( 9− 1)

=512

hope this help

5 0

3 years ago

Write the equation of the parabola in standard form that passes through the points (0, 3), (1, -4), and (-1, 4).

baherus [9]

Answer

$y = -3x^2-4x+3$

Explanation

The standard form of a parabola is

$y = ax^2 + bx + c,$

where $a \ne 0$ , and $a,b,c$ are real numbers.

If it passes through (0,3) then when x = 0, y = 3 so this means that

$3 = a(0)^2 + b(0) + c \implies c = 3$

so $y = ax^2 + bx + 3$ .

If it passes through (1,-4), then when x = 1, y = -4 so

$\begin{aligned}-4 &= a(1)^2 + b(1) + 3 \\a+b+3 &= -4 \\a+b &= -7 && \text{(I).}\end{aligned}$

If it passes through (-1,4) then when x = -1, y = 4 so

$\begin{aligned}4 &= a(-1)^2 + b(-1) + 3 \\a-b+3 &= 4 \\a-b &= 1 && \text{(II).}\end{aligned}$

Because both (I) and (II) need to be satisfied, we have the system of equations,

$\begin{cases}a+b &= -7\qquad\text{(I)}\\a-b &= 1\qquad\text{(II)}\end{cases}$

which we can easily solve by adding the two equations up to get

$\begin{aligned}(a+a) + (b-b) &= -7 + 1 \\ 2a&= -6 \\a &= -3.\end{aligned}$

Then we take any of the previous equations to solve for b:

$\begin{aligned}a+b &= -7\\-3 + b &= -7 \\ b &= -4\end{aligned}$

Thus the parabola in standard form is

$y = -3x^2-4x+3.$

4 0

4 years ago

Read 2 more answers