A) 0.9803; 0.4803
B) 32
We calculate the z-score for this problem by using the formula:

Using our formula, we have:

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.9803.
To find the probability it is between the mean and this, we subtract the probability associated with the mean (0.5) from this:
0.9803 - 0.5 = 0.4803.
To find B, we first find the z-score for this. Using a z-table (http://www.z-table.com) we see that the closest z-score would be 2.33. We then set up our equation as

Multiplying both sides by 0.85 we have
2.33(0.85) = 0.35√n
1.9805 = 0.35√n
Divide both sides by 0.35:
1.9805/0.35 = √n
Square both sides:
(1.9805/0.35)² = n
32 ≈ n
Answer:
$2.31
Step-by-step explanation:
Answer:
the equation | 5x + 10| = -7 has no solution for x ∈ R.
Step-by-step explanation:
Given the absolute value equation
| 5x + 10| = -7
- We know that absolute value is always positive.
Reason:
The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.
Conclusion:
Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.
Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.
Answer:
89·98 mph
Step-by-step explanation:
First, we get the circumference of the tires:
Circumference =
× (radius × 2)
Circumference = 3.142 × (1·5 × 2)
Circumference = 3·142 × 3
Circumference = 9·426 ft
The circumference of the tire is equal to one round.
1 round = 9·426 ft
840 rounds = ?
We cross multiply to get the length that the tires would cover in a minute
= <u>840 × 9·426</u>
1
1 minute = 7917·84 ft
60 minutes = ?
<u>60 × 7917·84</u>
1
= 475070·4 ft
5280 feet = 1 mile
475070·4 feet = ?
<u>475070·4 × 1</u>
5280
475070·4 ÷ 5280 = speed of the car in mph
89·97545
Round this off to 2 decimal places...
= 89·98 mph
hope this helps! =)