Answer:
25%
Step-by-step explanation:
so out of 32 marbles, 8 of them are red. This means the rest are blue which is 24 blue. To make a percentage, all you do is make a fraction. out of 32, 8 were red so 8/32. Fractions are basically division so 8/32 is 0.25. This means 25%.
Answer:
The length of the remaining wire is 53.8 centimeters
Step-by-step explanation:
Let us solve the question
∵ Cory has 66.92 centimeters of wire
∵ He uses 2 pieces of the wire, each piece he uses is 6.58 cm long
→ Find the length of the two pieces he uses
∵ He uses = 2 × 6.58
∴ He uses = 13.16 cm
∴ The length of wire he uses is 13.16 cm
→ The length of the remaining = the total length - the length he uses
∵ The length of the remaining = 66.92 - 13.16
∴ The length of the remaining = 53.76 cm
→ Round it to the nearest tenth of a centimeter
∴ The length of the remaining = 53.8 centimeters
∴ The length of the remaining wire is 53.8 centimeters
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Answer:
Step-by-step explanation:
Question :
Given:
varies directly with
when
To find value of when
Solution:
From the given data we have:
∝
Thus, we have:
where is the constant of proportionality.
<em>We can find the value of by plugging in the given values.</em>
when
Dividing both sides by 2.
∴
So, the equation to find when will be:
Thus, when (Answer)
Answer:
ACT Score performed better.
Step-by-step explanation:
Given :
ACT :
Mean score, μ = 21.2
Standard deviation, σ = 5.1
Score, x = 26
SAT :
Mean score, μ = 1498
Standard deviation, σ = 347
Score, x = 1800
To know which score is better, we obtain the standardized, Z score of the two examination :
Zscore = (x - μ) / σ
ACT Zscore :
(26 - 21.2) / 5.1
Zscore = 4.8 / 5.1 = 0.941
ACT Zscore = 0.941
SAT Zscore :
(1800 - 1498) / 347
Zscore = 302 / 347 = 0.870
SAT Zscore = 0.870
The student with the higher Zscore performed better :
ACT Zscore > SAT Zscore