Aliya lined up the interior angles of the triangle along line p below
1 answer:
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Answer:
(a) 0.6579
(b) 0.2961
(c) 0.3108
(d) 240
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of particles in a suspension.
The concentration of particles in a suspension is 50 per ml.
Then in 5 mL volume of the suspension the number of particles will be,
5 × 50 = 250.
The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.
The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.
The mean of the approximated distribution of X is:
μ = λ = 250
The standard deviation of the approximated distribution of X is:
σ = √λ = √250 = 15.8114
Thus,
(a)
Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:
Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.
(b)
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
Thus, the value of .
(c)
A 10 mL sample is withdrawn.
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
Thus, the value of .
(d)
Let the sample size be <em>n</em>.
The value of <em>z</em> for this probability is,
<em>z</em> = 1.96
Compute the value of <em>n</em> as follows:
Thus, the sample selected must be of size 240.
For this case we have that the cost of each pizza is given by the following function:
Where:
r: It's the radius of the pizza
IF a pizza cost $26.32 we have:
We cleared the radius, using :
We choose the positive value:
So, the radius of the pizza is
Then, the diameter is:
Finally, the diameter of the pizza is:
Answer:
Option B
Answer:
Option A is correct.
The function for the given graph is;
Step-by-step explanation:
An exponential function is in the form of ......[1] where a is the initial value and b≠ 0 , b >1 .
Given two points as shown in figure i.e,
let A = (0, 2) and B = (1,8)
Substitute these points in equation [1] we have;
For A = (0,2)
= a
⇒ a = 2
and
for B = (1, 8)
or
Substitute the value of a=2 in above equation to solve for b;
2b = 8
divide both sides by 2 we get;
b = 4
Then, the function for the graph is, y=