Hello from MrBillDoesMath!
Answer:
76.5 ( the last choice)
Discussion:
Sum =
1/2 ( 1! + 2! + 3! +4! +5!) =
1/2( 1 + 2+ +6 + 24 + 120) =
1/2(153) =
76.5
which is the last choice
Thank you,
MrB
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x 
0 
=0.1215
1 
=0.008
2 
=0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)
use definition of logarithm
0.15 = ln(A / 1500)
0.15 = ln(A) - ln(1500)
ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387
Step-by-step explanation:
The value of p from the given equation is 136.
The given equation is p/4 - 15 = 19.
<h3>What is an equation?</h3>
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is solved as follows:
Transpose -15 to other side of the given equation
That is, p/4 = 19+15
⇒ p/4 = 34
Cross multiply 4 to 34
We get p = 34 × 4
⇒ p = 136
Therefore, the value of p from the given equation is 136.
To learn more about an equation visit:
brainly.com/question/14686792.
#SPJ1
