The two points shown below are reflected across the x-axis. Then, the four points are connected to form a rectangle. What is the
perimeter of this rectangle?
16 units
26 units
10 units
18 units
16 units
26 units
10 units
18 units
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Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows: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Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows: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A 10 mL sample is withdrawn.
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows: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.
Answer:
The number of boys in the school is;
Explanation:
Given that the ratio of boys to girls in a school is 5:4;
And there are 500 girls in the school.
The number of boys in the school will be;
Therefore, the number of boys in the school is;
Answer:
(9x -4) meters
Step-by-step explanation:
The relationship between area, length, and width is ...
area = length × width
Dividing by length gives ...
width = area/length
Filling in the given expressions, we have ...
The width of the garden is 9x-4 meters.