equation would be 23 plus 9 equals 32 or p, the number of cans she bought
Remember,
sin = op/hyp
cos = adj/hyp
tan = op/adj
For question 3 it would be B and C, because the adjacent side of angle x is 12, the hypotenuse is 37, and cos = adj/hyp. Also, the opposite side of angle z is 12, and the hypotenuse is 37, and sin = op/hyp. So both answers would be 12/37. You would do the same with question 4.
For 5, you would do the same thing. It would be D because you can only take the sin of angle 24, and x is a side. the opposite of 24 is x and the hypotenuse is 11, so sin 24 would be x/11. It is the same for problem 6.
The mode of his grade is 90 because it is the number most frequented
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81
Answer:
The integral diverges
Step-by-step explanation:
∫₋₁¹ 10/x² dx
There is a discontinuity in the function at x = 0. Splitting this into two integrals:
∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx
-10/x |₋₁⁰ + -10/x |₀¹
∞