Answer:
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Information provided
n=100 represent the random sample ofcollege senior selected
X=53 represent the college seniors who say good
estimated proportion of seniors who think their job prospects are good
is the value that we want to test
z would represent the statistic
represent the p value
System of hypothesis
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we have:
The p value for this case would be given by
Answer:
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Step-by-step explanation:
Formulas are used to factorize the polynomials.
In the given question, we can see a difference of squares
the difference of squares can be factorized using the formula
Here a^2 and b^2 are squares and factorized as sum and difference of numbers.
So in the given options,
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
" the difference " means subtract
the difference between 5 and twice a number x is 1
5 - 2x = 1 <== ur equation
-2x = 1 - 5
-2x = - 4
x = -4/-2
x = 2 <== ur solution
Answer:
1: -4
2: A and B
3: There is a fixed price of %3.99 per ticket.
4: 8, and 4 per movie
The cost of using 19 HCF of water is $32.49
Given in the question:
The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
The cost for using 17 HCF of water is using $32.13
and, the cost of using 35 HCF is $61.83.
To find the cost of using 19 HCF of water.
Now, According to the question:
The cost for using 17 HCF of water is $32.13
and, the cost of using 35 HCF is $61.83.
To find the slope:
(17, 32.13) and (35, 61.83)
Slope = (61.83 - 32.13)/ (35 - 17) = 1.65
We know that:
Formula of slope :
y = mx + b
32.13 = 1.65 x 17 + b
b = 1.14
The equation will be :
C(x) = 1.65x + 1.14
Now, To find the cost of using 19 HCF of water.
C(19) = 1.65 × 19 + 1.14
C(19) = $32.49
Hence, the cost of using 19 HCF of water is $32.49.
Learn more about Slopes at:
brainly.com/question/3605446
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