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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Answer:
- A. the distance between points W and X
Step-by-step explanation:
<u><em>Looking for the distance of 5 units</em></u>
A. the distance between points W and X
- -3 - (-8) = -3 + 8 = 5
- Correct
B. the distance between points X and Y
- 1 - (-3) = 1 + 3 = 4 < 5
- Incorrect
C. the distance between points X and Z
- 5 - (-3) = 5 + 3 = 8 > 5
- Incorrect
D. the distance between points Y and Z
6,2,8,4,and 0 are the only possible value of the ones digit, because
6*1=6, last digit is 6
6*2=12, last digit is 2
6*3=18, last digit is 8
6*4=24, last digit is 4
6*5=30, last digit is 0
6*6=36, last digit is 6
and the whole cycle goes over again.
Answer:
–2 < x < 3
Step-by-step explanation:
–8 < 2x – 4 < 2
Add 4 to all parts:
–8 + 4 < 2x – 4 + 4 < 2 + 4
Simplify:
–4 < 2x < 6
Divide all parts by 2:
(–4 ÷ 2) < (2x ÷ 2) < (6 ÷ 2)
Simplify:
–2 < x < 3
Answer:
(x - 1)
Step-by-step explanation:
Given
f(x) = x³ - 2x² - 19x + 20
The sum of the coefficients is 1 - 2 - 19 + 20 = 0
This means that x = 1 is a root and (x - 1) is a factor of f(x)
