Answer:
Answer for 4th question
b = 7
Answer for 5th question
area= 99sq.in
Step-by-step explanation:
4. area of parallelogram= base × height
28= b × 4
b= 28/4
b = 7
5. area of parallelogram= base × height
area= 9 × 11
area= 9 sq.in
Answer:
Mean = 1.5
Standard Deviation = 1.206
Step-by-step explanation:
Percentage of Siberian Huskies with two different colored eyes = p = 3% = 0.03
Sample size selected = n = 50
We have to find the mean and standard deviation of the number of puppies with two different colored eyes.
Either the puppies will have two different colored eyes or they won't. Sample size is fixed in this case which is 50. A puppy with two colored eyes is independent of other puppies, this means the trials are independent. The probability of success is fixed in this case which is 3%. This setting satisfies all 4 conditions of a Binomial experiment, so we will use the formula relevant to Binomial experiment to answer this question.
Mean number = ![\mu=np](https://tex.z-dn.net/?f=%5Cmu%3Dnp)
Using the values, we get:
![\mu=50(0.03)=1.5](https://tex.z-dn.net/?f=%5Cmu%3D50%280.03%29%3D1.5)
Standard deviation of Binomial experiment is calculated as:
![\sigma=\sqrt{np(1-p)}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnp%281-p%29%7D)
Using the values, we get:
![\sigma=\sqrt{50 \times 0.03 \times 0.97}\\\\ \sigma=1.206](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B50%20%5Ctimes%200.03%20%5Ctimes%200.97%7D%5C%5C%5C%5C%20%5Csigma%3D1.206)
Both y = x and y = x -3 have a slope of 1
y = x passes through the origin while y = x -3 intersects the y-axis at the point (0, -3)
Both functions represent a straight line of the form y = mx + c
where m is the slope
c is the y-intercept
For the function y = x
The slope = 1
The y-intercept = 0
That is the line y = x passes through the origin
For the function y = x-3
The slope = 1
The y-intercept = -3
The line passes intersects the y-axis at (0, -3)
The graphs of y=x and y = x - 3 are attached below
Learn more here: brainly.com/question/15253497
The lines y = 2x - 1 and y = -2x + 3 intersect at exactly one point which means this system has exactly one solution. so the system is consistent and independent