Because it is closer to 0 and -1
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:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + b
-3 = -3/2(4) + b
-3 = -6 + b
3 = b
Answer:
Step-by-step explanation:
We are given that
Function f decreases from quadrant 2 to quadrant 1 and approaches y=0
It cut the y- axis at (0,6) and passing through the point (1,2).
Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.
It passing through the point (-1,2) and cut the y-axis at point (0,6).
Reflection across y- axis:
Rule of transformation is given by
Using the rule then we get
By using
Substitute x=-1
Substitute x=0
Therefore, is true.
Answer:
The larger integer is 
.
Step-by-step explanation:
Given: Two times the smaller of two consecutive integers is equal to 
more than the larger.
To find: The larger integer.
Solution:
Let the two consecutive integers be 
and 
, where the smaller integer is and larger integer is .
Now, according to question.
Two times the smaller integer 
more than the larger integer.
So, the smaller integer is 
, and the larger integer is 
Hence, the larger integer is 
