2/4 is the larger fraction. Think of a candy bar that is cut into 4 equal pieces. Now think of the same sized candy bar cut into 6 pieces. The candy bar that has been cut into sixths has more pieces but they are smaller pieces that the candy bar cut into fourths.
**When comparing fractions, if the numerators are the same (like they are in this problem) look at the denominators. Whichever fraction has the greater number is actually going to be the smaller fraction (more pieces, but smaller pieces). If the denominators are the same, then the fraction that has the greater number in the numerator will be the larger fraction (more same-sized pieces than the other fraction)
Hope that helps!
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
It is necessary to imagine the sum of the areas between each z-score and the average.
Given as the ratio of the area under the normal curve between two z-scores, both above average.
The Z score accurately measures the number of standard deviations above or below the mean of the data points.
The formula for calculating the z-score is
z = (data points – mean) / (standard deviation).
It is also expressed as z = (x-μ) / σ.
- A positive z-score indicates that the data points are above average.
- A negative z-score indicates that the data points are below average.
- A z-score close to 0 means that the data points are close to average.
- The normal curve is symmetric with respect to the mean and needs to be investigated.
Therefore, to find the percentage of the area under the normal curve between two z-scores, both above the mean, you need to look at the sum of the areas between the z-score and the mean.
Learn more about z-score from here brainly.com/question/16768891
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Answer:
Step-by-step explanation:
By inscribed angle theorem:
