P(volleyball and baseball) = 4/200 x 100 = 2%
P(volleyball or baseball) = P(volleyball ∪ baseball) = P(volleyball) + P(baseball) - P(volleyball and baseball) = 12% + 15% - 2% = 25%.
Thus, 25% of students participate in either volleyball or baseball.
Begin by determining the monthly interest rate as follows:
<span>Each month, we deduct the monthly rate and the 5% payment from $463, leading to the following formula:</span>
<span>
Therefore, after three months, Bridgette will have a remaining balance of $381.5 in her account.</span>
Let x represent the number of caps
cost per cap = $6
cost for x caps = 6x
shipping charge = $25
overall budget = $1000
We can set up the following inequality:
Because the total amount cannot exceed 1000, we have
25 + 6x ≤ 1000
6x ≤ 975
x ≤ 162.5
rounding,
x ≤ 163
This means she can purchase a maximum of 163 caps.
The hyperbolic cosine function (cosh) is defined as
cosh (x) = (e^x + e^-x) / 2
The tangent line's slope at any given point on a function is determined by the derivative of that function at that specific point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Assuming the slope equals 2, we have
sinh(x) = 2
thus,
x = sinh^-1 (2) = 1.444
Consequently, the curve of y = cosh(x) has a slope of 2 at the coordinate x = 1.44
D) moved 2 units to the left and 4 units upwards
