Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
We know that
<span>Peter has already delivered </span><span> 2 pizzas in 5 minutes
so
1 hour-------> 60 minutes
</span><span>time left------> 60 minutes - 5 minutes--------> 55 minutes
</span>pizzas to deliver to beat his previous record----------> 20-2------> 18 pizzas
therefore
in the next 55 minutes
if the
<span>average per minute = (18/55) pizzas /minute
</span>Pete beat his previous record
<span>
</span>average per minute > (18/55) pizzas /minute
Pete overcome the previous record
average per minute < (18/55) pizzas /minute
Pete will not match the previous record
1. D
Y=x+4.
That’s the answer
Answer:
c. 9 det A
Step-by-step explanation:
Given the following data;
Since A is a square matrix of order 2, we know that n = 2
K = 3
For any scalar k;
∣kA∣ = k^{n} ∣A∣
<em>Substituting into the equation;</em>
∣-3A∣ = -3²∣A∣
Simplifying, we have;
∣-3A∣ = 9∣A∣
= 9 detA
<em>Therefore, det (-3A) = 9 detA</em>
Answer:
80
Step-by-step explanation:
I just did this and its right!
