Answer:
12. C. 40 more students chose baseball than basketball
20. 500 total flowers
Step-by-step explanation:
12. To find the number of students that chose baseball, we multiply 25% by 800 students surveyed. First we have to convert 25% to a decimal = 0.25
800 x 0.25 = 200 students chose baseball.
Then, for basketball, 20% of students chose that, so 20% = 0.20
800 x 0.2 = 160 students chose basketball
200-160 = 40 more students chose baseball than basketball
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20. I don't know what your "magic sentence" looks like. You can set this up as a ratio, where x is the total number of flowers, and the 56% is a fraction of 56/100
280/x = 56/100
then cross multiply
28,000 = 56x
divide by 56
x = 500
Check the math: 500 x 0.56 = 280
If you want to tell me what your teacher's "magic sentence" looks like in the comments, I can try to fill it in with/for you.
Answer:
Step-by-step explanation:
The formula for circumference is: C = 2πr
π = 3.14
r = radius.
The Circumference given to us is 72π. Plug in 72π for C
72π = 2πr
Isolate the variable, r. Divide 2 and π from both sides
(72π)/2π = (2πr)/2π
r = (72π)/2π
r = 36
36 in. is your answer
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Answer:
7(3n+5)
Step-by-step explanation:
Answer:
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units
The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
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1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
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3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
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5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
