Answer:
131.2 ;
12.8 ;
(118.4, 144)
Step-by-step explanation:
Given :
X = 131.2, s=55 , and n= 50
Point estimate of the mean :
Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :
Margin of Error = Zcritical * s / sqrt(n)
Zcritical at 90% = 1.645
Margin of Error : 1.645 * (55 / sqrt(50))
Margin of Error : 1.645 * 7.7781745
Margin of Error = 12.795097
Margin of Error = 12.8
The confidence interval (C.I) :
C.I = x ± margin of error
C. I = 131.2 ± 12.8
(131.2 - 12.8) ; (131.2 + 12.8)
(118.4, 144)
There are 24 different ways that the race could end up
If you could elaborate on what this is, I would be gladly to assist you, but there is uncertainty going on here. I apologise.
Hello there!
Since we're looking for an equation to have a solution of x = -5, let's solve them from answer choice "A.)" to answer choice "D.)"
x + 10 = -5
x = -15
A.) is not correct.
Let's try B.)
-x^2 + 50 = 25
x^2 = -25
x = -5
Answer choice B.) is correct.
Let's continue looking for answer choices, just in case.
Let's look at answer choice C.)
2x = 10
x = 5
This answer is not correct.
Let's look at answer choice D.)
x < 0
This means x is less than 0, or a negative number.
This answer is not specifically correct.
Let's look at answer choice E.)
2x < 10
x < 5
This is less than 5, but does not specifically answer our chances.
Your answer is B.)
I hope this helps!