Answer:
a. 58
b. 35
Step-by-step explanation:
a. Given,
sinθ = cos 32
We know that cos x = sin (90 - x)
⇒ sin θ = sin (90 - 32)
⇒ sin θ = sin 58
⇒ θ = 58
Thus, the value of θ would be 58.
b. Given,
cosθ = sin(θ+20),
sin (90 - θ) = sin (θ + 20)
⇒ 90 - θ = θ + 20
⇒ 90 - 20 = θ + θ
⇒ 70 = 2θ
⇒ θ = 35
Thus, the value of θ would be 35.
Step-by-step explanation:
I'm thinking you are showing 2X^5 where 5 is the exponent. if so then it's the 5th degree
Answer:
see explanation
Step-by-step explanation:
To find the y-intercept let x = 0, in the equation
6x - 3y = 15 → (1)
x = 0 : - 3y = 15 ⇒ y = - 5 ⇒ (0, - 5) ← y- intercept
x + 3y = - 8 → (2)
x = 0 : 3y = - 8 ⇒ y = - ⇒ (0, - ) ← y- intercept
Answer:
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 1.3
Sample size, n = 12
We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(sample mean hardness for a random sample of 12 pins is at least 51)
Calculation the value from standard normal z table, we have,
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.