Answer:
23.0 =x
Step-by-step explanation:
Assuming this is a right triangle
cos theta = adj/ hypotenuse
cos 23 = x/25
Multiply each side by 25
25 cos 23 = x
23.01262134 =x
To the nearest tenth
23.0 =x
Step-by-step explanation:
3.5 hours for 1 cake means 3.5 hours per cake.
similar : 2 hours for 1 pie means 2 hours per pie.
so, if there are e.g. 3 pies, they take 3×2 = 6 hours.
therefore the general constraint is
3.5x1 + 2x2 <= 70
I think the names "x1" and "x2" are confusing when writing this inequality.
I prefer to use x and y.
and then it would look like
3.5x + 2y <= 70
33.3%
Since we are given that it is an even number, we know there is only 3 options (2, 4, 6). Since only one of them is an even number, we know that we need the fraction 1/3 or 33.3% for a probability.
To solve this problem, we use the formula:
z = (x – u) / s
where z is the z score value which can be obtained from
the tables, x is the sample value, u is the mean = 6.3 min, and s is the std
dev = 2.2 min
at P value = 0.90, the z = 1.28, finding for x:
x = z s + u
x = 1.28 * 2.2 + 6.3
x = 9.116
at P value = 1.0, the z = 3.49, finding for x:
x = z s + u
x = 3.49 * 2.2 + 6.3
x = 13.978 ~ 14
Therefore the longest 10% calls last about 9.1 minutes to
14 minutes