Answer:
25.5 seconds
Step-by-step explanation:
Given that the stopwatch records times to the nearest thousandth of a second, it means that the time recorded will be given at 3 decimal places.
To get the time in the nearest tenth of a second, we would first convert to the nearest hundredth of a second, at this, the reading of 25.453 seconds will be
= 25.45 seconds
Since the number at the hundredth position is 5 (or more), we would add 1 to the number at the tenth position to round it to the nearest tenth. Hence the reading to the nearest tenth
= 25.5 seconds
Answer:
The answer to your question is the first option.
Step-by-step explanation:
Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
Answer:
Option D is correct.
and 
Step-by-step explanation:
Floor function states that the greatest integer that is less than or equal to x.
It is represented by: 
Ceiling function states that the least integer that is greater than or equal to x.
It is represented by: 
As per the statement:-
Kareem wrote the values show below:
, 
, 
and .
by definition:
= 4
= 2
=3
= 4
From the given options only pair which is equivalent is:
and
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
