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Kitty [74]
3 years ago
10

A coin is tossed 6 times. what is the probability that the number of heads obtained will be 2? express your answer as a fraction

or a decimal number rounded to four decimal places.
Mathematics
1 answer:
Valentin [98]3 years ago
4 0
For this you will have to make a tree diagram
it will be so much easier although there is a way to do it

probability of getting heads is = 1/2 there for 10 tosses its (1/20)^10

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the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
3 years ago
Use the triangle at the right. find the length of the missing side
mario62 [17]

3.0 NOT SURE IF ITS CORRECT


8 0
3 years ago
Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the po
True [87]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& -2~) 
%  (c,d)
&&(~ 10 &,& 2~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-(-2)}{10-9}\implies \cfrac{2+2}{10-9}\implies \cfrac{4}{1}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=4(x-9)\implies y+2=4(x-9)
4 0
3 years ago
Given the two sets, which statement is true?
monitta
I think it is 3 A but it is hard to know what the question is asking... but my logic is that 3 A is right because A = 1+2 = 3
6 0
4 years ago
How many 3/8 are in 6
mixer [17]
There are 16 (3/8s) in 6.
6 0
3 years ago
Read 2 more answers
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