The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%
Option C is the correct answer.
<h3>What is Probability ?</h3>
Probability is defined as the study of likeliness of an event to happen.
It has a range of 0 to 1.
It is given in the question that
The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.
mean = 3550
standard deviation, = 870
Observed value, X = 4000
Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517
Probability of weight above 4000 lb
= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985
The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%
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B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.
We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.
We get the following fraction
6 375/1000
We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200
Let's divide by 5 again:
6 15/40
Let's divide by 5 again:
6 3/8
Or we could have divide by 125 from the get go and get the same results.
Answer:
-2b + 10
Step-by-step explanation:
(4b + 7) - (6b - 3)
4b + 7 - 6b + 3
-2b + 10
By analyzing and understanding the graph of the absolute value function, we find that the function evaluated at the x-value equal to 1 is equal to the y-value equal to 3.
<h3>What is the y-value associated to a given x-value of an absolute value function? </h3>
In this problem we find the representation of an absolute value function, where the horizontal axis corresponds to the values of the domain, whereas the vertical axis is for the values of the range. In that picture we must look up for the y-value associated with a given x-value.
Then, we proceed to evaluate the absolute value function at x = 1. In accordance with the graph, the y-value , that is, from the vertical axis, associated with the x-value, that is, from the horizontal axis, equal to 1 is equal to a value of 3.
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