Yes it is d now can you please follow me
Answer:
Step-by-step explanation:
For the null hypothesis,
µ = 60
For the alternative hypothesis,
h1: µ < 60
This is a left tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100,
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 52
µ = population mean = 60
s = samples standard deviation = 22
t = (52 - 60)/(22/√100) = - 3.64
We would determine the p value using the t test calculator. It becomes
p = 0.00023
We would reject the null hypothesis if α = 0.05 > 0.00023
Answer:
Since,
Here, the given equation is,
|a| < b
Case 1 : if a ≥ 0,
|a| < b ⇒ a < b
Case 2 : If a < 0,
|a| < b ⇒ -a < b ⇒ a > - b
( Since, when we multiply both sides of inequality by negative number then the sign of inequality is reversed. )
|a| < b ⇒ a < b or a > - b ⇒ -b < a < b
Conversely,
If -b < a < b
⇒ a < b or a > - b
⇒ a < b or -a < b
⇒ |a| < b
Hence, proved..
Answer:
Angle B is 45°
Step-by-step explanation:
Since a and b are both of length 20, this is an isosceles right triangle, and the angle opposite side b must be 45°.
Answer:
a, t = (p - 4)/5
b. t =√(a + 4)
c. t = d/(5-f)
Step-by-step explanation:
a. p = 5t + 4
To make t the subject of the equation, subtract 4 from both sides
p - 4 = 5t + 4 - 4
p - 4 = 5t
Divide both sides by 5
(p - 4)/5 = t
t = (p - 4)/5
b. a = t2 - 4
to make t the subject, add 4 to both sides
a + 4 = t2 - 4 + 4
a + 4 = t2
find the root of both sides
t =√(a + 4)
c. d = t(5 – f)
to make t the subject, divide both sides by 5 - f
d/(5-f) = t(5 – f)/(5 – f)
t = d/(5-f)
