Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Answer:
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Step-by-step explanation:
B
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%
To know more about Probability
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Answer:
b) x=13
Step-by-step explanation:
first divide 10 by 2 to get the base of one side of the triangle
the answer will be 5
Then using the Pythagorean theorem
a2+b2=c2
12^2+5^2=169
the square root of 169 will be 13
Answer:
Step-by-step explanation:
Let
p ----> the price of a watermelon in dollars
w ---> the weight of a watermelon in pounds
In this problem we have a proportional relationship
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem
The value of the constant of proportionality k is the same that the unit rate
Find out the unit rate
Divide the total cost by the total weight
substitute in the equation
