Answer:
Two
Step-by-step explanation:
The table is saying that, if Sandra swam enough races, she should expect to get 20 firsts, 12 seconds, 6 thirds, and two no placements.
Her expected value of points will be the average (mean) of all the points awarded for each race.
The average is the total number of points divided by the number of races.
The simulation says that, if she swam 40 races, she should expect to earn a total of 90 points.
She can't win a fraction of a point, so she can expect to win two points in her first race.
Answer:
Step-by-step explanation:
Begin by dividing by 5
2x + 4 = 3
Is this written as 2^(x + 4) = 3? I think it is.
Take the log of both sides
log 2^(x + 4) = log(3)
(x + 4) * log(2) = log 3
log 2 = 0.30103
log 3 = 0.47712
(x + 4) = log2 / log3
x + 4 = 0.63093 Add 4 to both sides
x = -3.369 Rounded to the nearest thousandth
====================
If you mean the question exactly as it is written (the 4 is not part of the power)
5(2^x + 4) = 15
2^x + 4 = 3
2^x = 3 - 4
2^x = - 1
This can't be done 2 to any power should be >0.
if x>0 then this will give an ever increasing number
if xK0 then this will give an ever decreasing answer but still greater than 0.
No value will make 2^x go to something minus.
If I have misread this in some way, leave a note and I will get back to you.
Answer:
we say for μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757 , 50.033243 )
Step-by-step explanation:
Given data
n=29
mean of x = 49.98 mm
S = 0.14 mm
μ = 50.00 mm
Cl = 95%
to find out
Can we be 95% confident that machine calibrated properly
solution
we know from t table
t at 95% and n -1 = 29-1 = 28 is 2.048
so now
Now for 95% CI for mean is
(x - 2.048 × S/√n , x + 2.048 × S/√n )
(49.98 - 2.048 × 0.14/√29 , 49.98 + 2.048 × 0.14/√29 )
( 49.926757 , 50.033243 )
hence we say for μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757 , 50.033243 )
Answer:
Option A 0.1698
Step-by-step explanation:
Given that Jason has a chance for getting oil as 45%
THe kit he buys show accurate result with 80% probability
Let A1- Event that the land has oil
A2 - Event that the land has no oil
B- The test gives negative result
A1 and A2 are mutually exclusive and exhaustive
P(A1) = 0.45 and P(A2) =0.55
Hence we can use Baye theorem
Then P(B) = P(A1B)+P(A2B)=
Reqd prob =P(A1/B) =
