All categories

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

Moesha has 196 pepper plants that she wants to plant in square formation. How many peppers plants should she plant in each row?

miss Akunina [59]

Hey there!!

In order to solve this question, we take the area as 196 as these are the total number of plants to cover a specific place.

The formation must be in a square formation

area of a square = ( s ) ²

s = side

or the number of plants in a row

s² = 196

s = √196

s = 14

There are 14 plants in each row

Hope my answer helps!

8 0

3 years ago

Read 2 more answers

A college bookstore marks up the price that it pays the publisher for a book by 35 %. If the selling price of a book is $ 87.00

Dimas [21]

Answer:the amount that the bookstore pay the publisher for the book is $64.4

Step-by-step explanation:

Let x represent the amount that the bookstore pay the publisher for the book.

The college bookstore marks up the price that it pays the publisher for a book by 35%. This means that the value of the mark up would be

35/100 × x = 0.35 × x = 0.35x

Therefore, the amount that the bookstore is selling the book would be

x + 0.35x = 1.35x

If the selling price of a book is $ 87.00, then it means that

1.35x = 87

x = 87/1.35 = 64.4

7 0

3 years ago

I need help please. I don't understand

Viktor [21]

Answer:

a. y = 0.56x -17.78 . . . . y = Celsius temperature; x = Fahrenheit temperature

b. 37.436 °C

c. interpolation

d. 83.2 °F

Step-by-step explanation:

a. In most cases, finding the linear regression equation that fits a table of data involves somewhat tedious calculations best performed by a calculator or computer. The general approach is to enter the data into the necessary list(s) or table, and invoke the necessary function.

In Microsoft Excel (and many other spreadsheet programs), you can chart the data in the usual way, then choose the option to add the regression equation to the chart.

In the Desmos calculator used here, the data can be entered into a table, and a generic equation written relating the table entries. Any unknown constants in the equation are computed by Desmos so as to maximize the correlation between the equation and the data. Using a linear equation results in a linear regression computation.

This calculator tells us what we should already know (from previous knowledge of Fahrenheit–Celsius conversion).

y ≈ 0.56x -17.78

(We already know the actual conversion is y = (5/9)(x -32) = (5/9)x -(17 7/9). The above is what you get when the numbers are rounded to hundredths, as required by this problem.)

___

b. Using the above equation for x=98.6, we get

y = 0.56·98.6 -17.78 = 55.216 -17.78 = 37.436 . . . °C

___

c. Since we're finding a value between values already in the table, the process is called interpolation. (Extrapolation is used to find values beyond those that are already in the table. The prefixes inter- (between) and extra- (beyond) can help you remember what these terms mean.)

___

d. In this part, we're asked to find x that corresponds to y=28.8. We fill in the value and solve.

28.8 = 0.56x -17.78

46.58 = 0.56x . . . . . . add 17.78

46.58/0.56 = x ≈ 83.179 ≈ 83.2 . . . . . divide by the coefficient of x; round appropriately. Units are °F.