Answer:
x∈(20/3;26/3)
Step-by-step explanation:
12 < 2x-4/3 < 16
first we add 4/3 to each side
12+4/3<2x<16+4/3
we bring to the same denominator
12*3/3+4/3<2x<16*3/3+4/3
(36+4)/3<2x<(48+4/3)
40/3<2x<52/3
now we divide by 2
20/3<x<26/3
x∈(20/3;26/3)
Answer:
The vertex would be D) (-2, -32)
Step-by-step explanation:
To find the vertex , start by find the x-value. For this we can use the equation below.
x = -b/2a
In which a is the coefficient of x^2 and b is the coefficient of x.
x = -b/2a
x = -(8)/2(2)
x = -8/4
x = -2
Now that we have x, we find y by plugging -2 in for each x.
y = 2x^2 + 8x - 24
y = 2(-2)^2 + 8(-2) - 24
y = 2(4) - 16 - 24
y = 8 - 16 - 24
y = -32
Answer:
Following are the Arithmetic Operators available in Rexx. Operator, Description, Example. +, Addition of two operands, 1 + 2 will give 3
Step-by-step explanation:
Answer:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Step-by-step explanation:
Data given and notation
n=75 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5