Answer:
x = 64
Step-by-step explanation:
x/8 + 4= 12
x/8 + 4 (-4) = 12 (-4) Subtract both side with 4
x/8 = 8
x/8 ( x 8) = 8 ( x 8) Multiply with 8 on both side.
x = 64
64/8 +4 = 12
Take 87-63 = 24, which is the difference of the 2 hours. Divide this by two to get the hourly rate, which is $12.
We can now set up the equation as follows:
4(12) + x = 63
6(12) + x = 87
Now solve for each:
4(12) + x =63
48 + x = 63
x = $15
6(12) + x = $87
72 + x = 87
x = $15
Therefore, the Flat Fee = $15 and the Hourly rate = $12
Part 1 : Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?
No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Yes, it is a valid inference because he asked all 27 students in his art class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
Answer = The correct answer is <span>B because Marlow was supposed to ask random kids and they were not suppose to be in his class.
Part 2 : </span><span>Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? </span>
72
100
1,080
<span>1,500
</span>
<span>1500 / 100</span>×72<span>= 1080</span><span>
</span>
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
Answer:
Step-by-step explanation:
Write 124 in scientific notation.
Then, in scientific notation, 124 is written as 1.24 × 102. Actually, converting between "regular" notation and scientific notation is even simpler than I just showed, because all you really need to do is count decimal places.