<span>Given:
xbar = 20 min
standard deviation = 8 min
total sample = 240
Required:
how many gym members are expected to spend 4 min and 36 min on a treadmill today
Solution:
sd</span>² = (∑(x - xbar)²) / N - 1
there are 42 gym members at 4 minutes and 200 gym members in 36 minutes.
Using right triangle relations, we will get:
- tan(B) = 1.05
- sin(B) = 0.735
- cos(B) = 0.7
<h3>
How to find the value of the trigonometric equations?</h3>
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
- tan(θ) = (opposite cathetus)/(adjacent cathetus).
- sin(θ) = (opposite cathetus)/(hypotenuse)
- cos(θ) = (adjacent cathetus)/(hypotenuse).
If we step on angle B, we have:
- opposite cathetus = 29.4
- adjacent cathetus = 28
- hypotenuse = 40.6
Replacing that, we get:
- tan(B) = 29.4/28 = 1.05
- sin(B) = 29.4/40.6 = 0.735
- cos(B) = 28/40.6 = 0.7
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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The answer would be 21,000,000.00
Answer:
8 pens
Step-by-step explanation:
<h2><u>Finding the number of pens bought </u></h2>
pencil costs 0.27
pen costs 0.32
6 * pencils + x pens = 4.18
6 * 0.27 + x * 0.32 = 4.18
1.62 + 0.32x = 4.18
0.32x = 4.18 - 1.62
0.32x = 2.56
x = 2.56/0.32
x = 8
<u>hence 8 pens were bought </u>
I might be wrong but I think it’s b sorry if wrong :)