Answer:
a) P(Y=10)=0.0013
b) P(Y≤5)=0.00000035
c) Mean = 17.5
S.D. = 2.29
Step-by-step explanation:
We can model this as a binomial random variable with n=25 and p=0.7.
The probability that k students from the sample are foreign students can be calculated as:
a) Then, for Y=10, the probability is:
b) We have to calculate the probability P(Y≤5)
c) The mean and standard deviation for this binomial distribution can be calculated as:
Line LM and Line PN is parallel. So angle LPM is the same angle as MPN. if angle M is 30 and angle P and N is 82. So your going to + 82 and 30 together then - your answer by 180 and you should get you answer for the other angle.
Answer:
$1,577.74
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.
<em>A = total
</em>
<em>P = principal amount
</em>
<em>r = interest rate (decimal)
</em>
<em>t = time (years)
</em>
<em />
First change 3% to its decimal form:
3% -> -> 0.03
Next, we can plug in the values into the equation:
The last step is to subtract 8,000 from 9,577.74:
The total interest earned is $1,577.74
Answer:
x = -16
Step-by-step explanation:
2/3 x + 1 = 1/6 x -7
Multiply both sides of the equation by 6 to eliminate the fraction
6*(2/3 x + 1) =6( 1/6 x -7)
4x +6 = x -42
Subtract x from each side
4x-x +6 = -42
3x +6= - 42
Subtract 6 from each side
3x+6-6 = -42-6
3x = -48
3x/3 = -48/3
x = -16