Factor first: (sinx+1)(2sinx-1)=0
sinx+1=0 or 2sinx-1=0
sinx=-1 or sinx=1/2
0≤x≤360, so x=270, or x=30 or x=150
Answer:
x = 3
Step-by-step explanation:
Answer:
We can create a one-variable equation and solve for x.
we set 35.25+0.11x equal to 14.25+0.32x
35.25+0.11x=14.25+0.32x
then we just solve for x to get 100
Step-by-step explanation:
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:
Alex will need 14 bags
Step-by-step explanation:
B= 4(2x+7)+3(2x+7)
and
2x+7=2
First, we should solve the second equation to obtain x:
2x+7=2
2x=2-7
x= -5/2
Then, we use this answer to calculate B:
B=4(2(-5/2)+7)+3(2)
B=4(-5+7)+6
B=4(2)+6
B=8+6
B=14
Alex will need 14 bags
