1. Two people have $10 to divide between themselves. Each person names a number (nonnegative integer) no more than 10. If the su
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Answer:
Given the statement: The length of an aquarium, which has the form of a rectangular solid, is equal to 5 decimeters, and the width is 4/5 the length.
Since, aquarium is in the form of a rectangular solid.
Length of an aquarium(l) = 5 dm
Width of an aquarium(w)=
It is also given that when you put 40 liters of water into the aquarium, it was full to its volume.
Volume of Rectangular solid(V) is given by;
where l is the length , w is the width and h is the height of the rectangle respectively.
Volume(V) of an aquarium = liter.
Using volume formula to calculate the height(h);
Divide both sides by 20 we get;
h = 3 dm [ 1 liter = 1 cubic dm]
We have to find the what part of length makes up the height of the aquarium.
where l = 5 dm
therefore, part of the length makes up the height of the aquarium.
Answer:
The minimum head breadth that will fit the clientele is 4.4 inches.
The maximum head breadth that will fit the clientele is 7.8 inches.
Step-by-step explanation:
Let <em>X</em> = head breadths of men that is considered for the helmets.
The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 6.1 and standard deviation, <em>σ</em> = 1.
To compute the probability of a normal distribution we first need to convert the raw scores to <em>z</em>-scores using the formula:
It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.
Compute the minimum head breadth that will fit the clientele as follows:
P (X < x) = 0.043
⇒ P (Z < z) = 0.043
The value of <em>z</em> for this probability is:
<em>z</em> = -1.717
*Use a <em>z</em>-table.
Compute the value of <em>x</em> as follows:
Thus, the minimum head breadth that will fit the clientele is 4.4 inches.
Compute the maximum head breadth that will fit the clientele as follows:
P (X > x) = 0.043
⇒ P (Z > z) = 0.043
⇒ P (Z < z) = 1 - 0.043
⇒ P (Z < z) = 0.957
The value of <em>z</em> for this probability is:
<em>z</em> = 1.717
*Use a <em>z</em>-table.
Compute the value of <em>x</em> as follows:
Thus, the maximum head breadth that will fit the clientele is 7.8 inches.