Answer:
201.06
Step-by-step explanation:
A=πr^2
A=3.14*8^2
201.06
She started out with 335, and spent 15 each week, she now has 155 dollars- that will be our equal sign.
let m= money she spent each week.
335- 15m= 155
Subtract 335 from 155.
-15m= -180
Divide -15 into both sides.
m= 12
Cathy had 12 lessons.
I hope this helps!
~kaikers
P(<em>X</em> ≤ 65) = P((<em>X</em> - 79)/7 ≤ (65 - 79)/7) = P(<em>Z</em> ≤ -2)
where <em>Z</em> follows the standard normal distribution with mean 0 and standard deviation 1.
Recall that for any normal distribution with mean <em>µ</em> and s.d. <em>σ</em>, we have
P(|<em>X</em> - <em>µ</em>| ≤ 2<em>σ</em>) ≈ 0.95
which in the case of <em>Z</em> translates to
P(-2 ≤ <em>Z</em> ≤ 2) ≈ 0.95
Now,
P(-2 ≤ <em>Z</em>) + P(-2 ≤ <em>Z</em> ≤ 2) + P(<em>Z</em> ≥ 2) = 1
==> P(-2 ≤ <em>Z</em>) + P(<em>Z</em> ≥ 2) ≈ 0.05
Any normal distribution is symmetric about its mean, so P(-2 ≤ <em>Z</em>) = P(<em>Z</em> ≥ 2), and this gives us
==> 2 P(-2 ≤ <em>Z</em>) ≈ 0.05
==> P(-2 ≤ <em>Z</em>) ≈ 0.025
Answer:
156 cm²
Step-by-step explanation:
Area of Triangle
= 1/2 * b * h
= 1 /2 * (17 - 9) * 12
= 6 * 8
= 48 cm²
Now
Area of parallelogram
= b * h
= 9 * 12
= 108 cm²
Total area
= (48 + 108) cm²
= 156 cm²
Answer:
There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).
Step-by-step explanation: