Answer:
1.3°F * 10 = 13°F
10.2°F
Step-by-step explanation:
Given that:
Temperature on the ground = - 2.8°F
Change in temperature per 1000 ft rise = 1.3°F
Change in temperature after the plane ascends 10000 ft
Change in temperature per 1000ft rise * (10000/1000)
1.3°F * 10 = 13°F
B.) Temperature at 10,000 feets
Temperature on ground + change in temperature at 10,000ft
-2.8°F + 13°F
= 10.2°F
Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:
If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is . So:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
I think the answer would be 81.60
Answer:
20
Step-by-step explanation:
→ First find the value of x and y
x + y = 5
x - y = 4
→ Add the equations to cancel out the y's
2x = 9
→ Divide both sides by 2 to find the value of x
x = 4.5
→ Substitute x = 4.5 back into x - y = 4 to find the value of y
4.5 - y = 4
→ Minus 4.5 from both sides to isolate -y
-y = -0.5
→ Multiply everything by -1
y = 0.5
→ Substitute x = 4.5 and y = 0.5 into x² - y²
4.5² - 0.5² = 20.25 - 0.25 = 20
Answer:
y=x+1
Step-by-step explanation:
As you can see, the slope is clearly 1 and the line starts at (0, 1), which is its y-intercept.
Plug the variables into this formula: y=mx+b, then you will get y=x+1.