Answer:
1.4
Step-by-step explanation:
Probability of selecting a red counter :
Number of red counter / total number of counters
5 / (5 + 3) = 5 /8 = 0.625
Probability of selecting a blue counter = 0.375
Let number of red counters :
0, 1 or 2
0 red counters :
Expected value = x * p(x)
0 + (0.625*1) + (0.390625 * 2)
0 + 0.625 + 0.78125 = 1.40625
Expected number of red counters = 1.4
Think of PEMDAS, or Please Excuse My Dear Aunt Sally. Which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction in that order.
Answer: since the parent function is f(x), then i think....
f(x) + 5 is the shifted 5 units up of f(x)
then the first answer is correct
f(x - 8) is 8 shifted 8 units right of f(x)
then the second answer is wrong,
f(x) is replaced by 4f(x) means it stretched vertically by a factor of 4
the the third answer is correct
f(x) is replaced with f(3x) compressed horizontally by a scale factor of 1/3
then the fourth answer is correct
Step-by-step explanation: i hope this makes since and sorry if it doesn't so the first is correct, second is wrong, third is correct, and fourth is also correct. and no there well be no links. (sorry if you do want links)
and maybe a brainliest
Answer:
Let the two supplementary angles be
we know sum of two supplementary angles is 180
2x + 3x = 180
5x = 180
x = 180/5
x = 36
2*36 = 72
3*36 = 108
Therefore the two supplementary angles are 72 and 108
Answer:
The speed of the cyclist is 10 miles per hour .
Step-by-step explanation:
Given as :
The distance cover by cyclist = 
= 20 miles
The distance cover by biker = 
= 6 miles
The speed of biker = 
= s mph
The speed of cyclist = 
= 7 + s mph
The time taken by both cyclist and biker = t hour
Now. Distance = Speed × Time
So, = × t
Or, 20 = s × t
Or, t = 
.....1
And ,
= × t
or, 6 = s t
Or, t = 
....2
From Eq 1 and 2
I.e =
Or, 20 s = 6 ( 7 + s )
Or, 20 s - 6 s = 42
Or, 14 s = 42
∴ s = 
I,e s = 3 miles per hour
So, The speed of biker = = s = 3 miles per hour
And The speed of cyclist = = 7 + s = 7 + 3= 10 miles per hour
Hence The speed of the cyclist is 10 miles per hour . Answer
