Answer: y = 
Step-by-step explanation:
We could find two points on graph to find the slope of the graph since we already know its y-intercept.The y-intercept is when x is 0.
We could find the points (0,-3) and another points ( 3,-2) to solve for the slope we will find the difference in y and divide it by the difference in the x values.
(0,-3)
(3,-2)
y -3 - (-2) = -1
x 0 - 3 = -3
-1/-3 = 1/3
so now we know the slope is 1 thirds or 1 over 3 and the y intercept is -3
so the equation will be y = 1/3x - 3
Answer:
option (d) 16.6 and 21.4
Step-by-step explanation:
Data provided in the question:
The mean life for a particular use before they failed = 19.0 hours
The distribution of the lives approximated a normal distribution
The standard deviation of the distribution = 1.2 hours
To find:
The values between which 95.44 percent of the batteries failed
Now,
In Normal distribution, the approximately 95% ( ≈ 95.44% of all values ) falls within 2 standard deviations of the mean
Therefore,
Upper limit = Mean + 2 × standard deviation
⇒ Upper limit = 19.0 + 2 × 1.2 = 21.4
Lower limit = Mean - 2 × standard deviation
⇒ Lower limit = 19 - 2 × 1.2 = 16.6
Hence,
the answer is option (d) 16.6 and 21.4
Answer:
1.3445367773335334434333233332
First off, the underline underneath means plus or minus, since when you take the square root of something, the answer can be negative or positive at the same time
1. 64 is a perfect square. 8 x 8 = 64, therefore it is +- (plus or minus) 8.
2. 45 is not a perfect square, so you can pull out numbers or plug into a calculator and estimate.
Both answers: Since 45 is divisible by 9 and five, you can break a nine into two threes, therefore pull it out, and since the answer is negative, you get:
-3(5)^0.5 (an exponent of one-half or 0.5 means square root)
If you solve by calculator, the answer is ~= (approximately equal to) -6.72
3. Since 90 is not a perfect square, repeat the previous question. 9 can go into 90, therefore you can pull out two threes and are left with: +-3(10)^0.5
Using the calculator, you get ~= +-9.49
