Answer:
The boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 450
Standard Deviation, σ = 50
We are given that the distribution of time for fitness test is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.10
P(X<x) = 0.10

Calculation the value from standard normal z table, we have,


Hence, boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.
Answer:
![\sqrt[4]{x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%20%7D)
Step-by-step explanation:
this is the same concept basically as simplifying
into
. You can see that the denominator is in front of the radical and that any numbers in the numerator are the power of the number underneath.
Steps of construction:
1. Draw a circle with centre B.
2. Draw a circle with centre C.
3. Both circles intersect each other at a point D
4. Join A and D.
5. So, AD bisects angle CAB.
<em>A </em><em>rough </em><em>figure </em><em>is </em><em>shown</em><em> </em><em>in </em><em>the </em><em>picture</em><em>.</em>
Answer:
x = 2.5
Step-by-step explanation:
You have a right triangle, if we use the 67° angle the opposite side is 6 and the adjacent side is x. So we use the tangent formula
Tan θ = opposite / adjacent
adjacent = opposite / Tan θ
x = 6 / Tan 67
x = 2.5