Answer:
The probability that the town has 30 or fewer residents with the illness = 0.00052.
Step-by-step explanation:
So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.
The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.
Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.
Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!
Answer:
No, it is not a right triangle
Step-by-step explanation:
Let H = 14 cm
B = 3 cm
P = 13 cm
According to pythagoras theorem:
H^2 = P^2 + B^2
14^2 = 13^2 + 3^2
196 = 169 + 9
196 is not equal to 178
Hence, it is not a right triangle
X = jane, y = jasmine, z = jocelyn
x + y + z = 56
x = 3z
y = 2z + 2
3z + 2z + 2 + z = 56
6z + 2 = 56
6z = 56 - 2
6z = 54
z = 54/6
z = 9 <==== jocelyn
x = 3z
x = 3(9)
x = 27 <=== jane
y = 2z + 2
y = 2(9) + 2
y = 18 + 2
y = 20 <=== jasmine
Answer:
20 pens
Step-by-step explanation:
if there is 1 red pen for every 4 blue pens
then
4 red pens would have 16 blue pens with it. makes a total of 20 pens, with 12 more blue pens than red pens
Answer:

Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
- A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
- B) We can substitute a point inside an incomplete equation to try and find a missing value.
So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
- <u>Reciprocal of 7:</u>
- <u>Opposite of </u>
:
So the slope of this line will be
. The y-intercept will change, and we can substitute what we know into the equation
.

Now, we can substitute a point on the graph (14, 8) into this equation to find b.
Now that we know the y-intercept, we can finish off our equation by plugging that in.

Hope this helped!