Answer:
a) 0.1587 b) 0.023 c) 0.1587 d) 1.15 e)-0.95
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 510
Standard Deviation, σ = 100
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score greater than 610)
P(x > 610)
Calculation the value from standard normal z table, we have,
b) P(score greater than 710)
Calculating the value from the standard normal table we have,
c)P(score between 410 and 510)
d) x = 625
e) x = 415
(1) Area of the whole circle:
A = πr²
Substitute the value of BA to r,
A = (π)(10 ft)² = 314.16 ft²
(2) Area of the sector is calculated through the equation,
As = πr²(x/360°)
where x is the intercepted angle. Substituting the values,
As = π(10 ft)²(60°/360°) = 52.36 ft²
(3) Area of the equilateral triangle BAJ,
At = (√3)(a2²/4
where a is also equal to r or BA. Substituting,
At = (√3)(10 ft)²/4 = 43.30 ft²
The area of the region not shaded is equal to,
= (A) - (As - At)
Substituting,
= (314.16 ft²) - (52.36 ft² - 43.30 ft²)
<em>Area = 305.10 ft²
</em><em />Therefore, the answer to this answer is letter D. <em>
</em>
Answer:
The store will make money for each option/event. For the first option, the store will earn extra $72. For the second option, the store will earn extra $14.4.
Step-by-step explanation:
120 x 1.6 = 192
192 x 0.7 = 134.4
For problem 1, the answer is $192
For problem 2, the answer is $134.4
The store will make money for each option/event.
192-120=72
134.4-120=14.4
Since (a^m)^n=a^mn, you multiply the exponents and you get their product, which will be the new exponent of the base.Therefore, the answer would be C. Product power of a Product Property.
Answer:
arc length = radius * central angle in degrees * (PI / 180)
arc length = 7 * 90 * (3.14159265 / 180)
arc length = 10.995574275
http://www.1728.org/radians.htm
Step-by-step explanation: