Answer:
Step-by-step explanation:
Starting with
2
x
2
−
5
=
0
, first add 5 to both sides to get:
2
x
2
=
5
Divide both sides by 2 to get:
x
2
=
5
2
Take the square root of both sides (allowing both positive and negative roots) to get:
x
=
±
√
5
2
=
±
√
5
√
2
Answer: No, the normal curve cannot be used.
Step-by-step explanation:
The theorem of the Normal approximation states that if X is B(n,p) then for large n X is N(np, np(1-p)).
The accuracy of this approximation is good
i. for n > [10/p(1-p)]
ii. p is close to 1/2
Hence given p= 4% = 0.04,
q = 1 - 0.04 = 0.96
Let N = [10/p(1-p)]
We find N = 10/p(1-p) = 10/(0.04× 0.96)
N ~= 260
Since n < 260 and p < 0.5
The approximation is not a good one
Answer:
<em>The depth of the submarine was 295 feet</em>
Step-by-step explanation:
<u>Function Modeling</u>
The following expression models the depth of a submarine that began at -370 m and ascended at 15 ft/minute:
d = -370 + 15z
Where z is the time in minutes.
We are required to find the depth of the submarine at t=5 minutes. Substituting t=5 into the function model:
d = -370 + 15(5)
d = -370 + 75
d = -295 feet
The depth of the submarine was 295 feet
<u>Answer</u>
3 square root of 7
<u>Explanation</u>
square root of 3 times square root of 21
√3 × √21 = √(3×21)
= √63
= √(9×7)
= √9 × √7
= 3 × √7
= 3√7
The answer is 3 square root of 7
