The first answer would be 10
the second answer would be 2.50
i wouldn’t be able to know the third one without knowing the options
Answer:
(A) 2/3 [√(4-4x)]^3
(B) 2/3 [√(4-x)]^3
Step-by-step explanation:
Integrating the functions,
(A) Any function in square root is equal to or same as the function raised to the power of 1/2
To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2
Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.
Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.
Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3
So the integral of Y = √[4-4x] is
2/3 [√(4-4x)]^3
(B) In like manner, the integral of
Y = √[4-x] is
2/3 [(√4-x)]^3
Answer:
Part (A): The correct option is true.
Part (B): The null and alternative hypothesis should be:

Step-by-step explanation:
Consider the provided information.
Part (A)
A random sample of 100 students from a large university.
Increasing the sample size decreases the confidence intervals, as it increases the standard error.
If the researcher increase the sample size to 150 which is greater than 100 that will decrease the confidence intervals or the researcher could produce a narrower confidence interval.
Hence, the correct option is true.
Part (B)
The researcher wants to identify that whether there is any significant difference between the measurement of the blood pressure.
Therefore, the null and alternative hypothesis should be:

Answer:
C) $90.48
Step-by-step explanation:
72.39*.2=14.478
72.39*.05=3.6195
14.478+3.6195=18.0975
18.0975+72.39=90.4875
Total value of 100 measurements
100 * 23
2300
Total value of additional 50 measurements
50 * 27
1350
Total value of 150 measurements
2300 + 1350
3650
Average of 150 measurements
3650 / 150
24.3
25 > 24.3
Answer is B