Answer:
a = 5r² and b = r²s
Step-by-step explanation:
a3 - b3 = (a - b)(a + ab + b2)
Expressing 125q^6-r^6s^3 as a difference of 2 cubes
125q^6-r^6s^3
= 5³(r²)³ - (r³)²s³
= (5r²)³ - (r²s)³
Comparing with a³ - b³
a = 5r² and b = r²s
Hence the value of a is 5r² and b is r²s
Answer:
rounded to the nearest hundredth the value is 813.04
Step-by-step explanation:
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
The answer is b due to pemdas
