Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
<h3>How to use composition between two function</h3>
Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.
If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:
V(t) = (4/3) · π · [(1/4) · t²]³
V(t) = (4/3) · π · (1/64) · t⁶
V(t) = (1/48) · π · t⁶
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
To learn on composition between functions: brainly.com/question/12007574
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Answer: the answer is W (-7, -2)
Step-by-step explanation:
Personally you can’t measure you have to be in person but just double it on a piece of paper and you’ll find it out
Answer:
P(X>250) = 0.7357
Step-by-step explanation:
From the question we can gather the data:
μ = 5 days
σ = 4 days
n = 100
It will take more than 250 days to train the 100 contestants so,
time to train one person = 250/100 = 2.5 days.
x = 2.5 days
We will use the normal distribution formula to find the z-score and then use this z-value to find the probability from the normal distribution table.
Z = (x - μ)/(σ)
Using the values mentioned above,
Z = (2.5-5)/(4)
= -0.625
Z = -0.63
So, using the normal distribution probability table we get the following probability at z = -0.63:
<u>P = 0.2643</u>
This is the probability that it will take less than 250 days to train all the contestants but we need the probability that it will take more than 250 days. So, using the total probability theorem:
P(X>250) = 1 - P(X<250)
= 1 - 0.2643
P(X>250) = 0.7357
