Answer:
Step-by-step explanation:
Given that a math exam has 44 multiple choice questions, each with choices a to d.
A student answers just by guessing. So no of questions he answers X is binomial with constant probability 1/4 = 0.25
We can find probabibility using binomial as
P(X=12) =
If approximated to normal we have
mean = np = 11
Std dev =
With continuity correction we get
P(X<12)
=P(X<11.5)
=0.5691
Answer:
Step-by-step explanation:
x^-y=1/(x^y) so 3t^-4=3/(t^4)
Answer:
- 1
Step-by-step explanation:
The measure of the slope m is the rate of change of the linear function
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 4) ← 2 ordered pairs from the table
m = = = - 1
Thus rate of change is - 1
Answer:
Grace should use her phone for 58 minutes to maintain an average of 55 minutes.
Step-by-step explanation:
Usage of first month = 43 minutes
Second month = 62 minutes
Third Minutes = 57 minutes
Let, the usage of fourth month = k minutes
Mean of the data = 5 minutes
Now, Average of a Data =
⇒
or, 55 x 4 = 162 + k
⇒ 220 - 162 = k
or, k = 58 minutes
So, Grace should use her phone for 58 minutes to maintain an average of 55 minutes.
Answer:
60
Step-by-step explanation:
135 = (2x+15)
120 = 2x
x = 60