Answer:
The first one: 19/15a
second one: b²-4ac = D
Step-by-step explanation:
for first one: take LCM and solve
for second one: you square the expression on both sides then b²= D + 4ac, then when you take 4ac to the left hand side, it becomes b²-4ac= D
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}
Answer:

Step-by-step explanation:
Soh-cah-toa is a great way to remember:

You just remember the first letters : sine= opposite/hypotenuse , for example.
Answer:
e = 56
Step-by-step explanation:
Use cross multiplication.
28 * 14 = 7e
Simplify
392 = 7e
Divide each side by 7
e = 56.