The ratios are: sin B = 4/5 , cos B = 3/5 and tan B = 4/3
Step-by-step explanation:
We can see in the diagram that the values of all sides are given. In case of trigonometric ratios, the side in front of angle under consideration is perpendicular and the side adjacent to angle is base.
In the given case, we have to find trigonometric ratios for angle B; So,
Base = a = 3
Perpendicular = b = 4
Hypotenuse = c = 5
Hence,
The ratios will be:
The ratios are: sin B = 4/5 , cos B = 3/5 and tan B = 4/3
Keywords: Ratios, triangle
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Answer:
The temperature on the 5th day was of -9ºC.
Step-by-step explanation:
Mean of a data-set
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
The mean temperature for the first 4 days in January was 1°C.
This means that during the first 4 days, the sum of the temperatures was 4*1 = 4ºC.
The mean temperature for the first 5 days in January was -1°C.
First 4 days: Sum of 4º
5th day: Temperature of x.
The mean is -1, so:
The temperature on the 5th day was of -9ºC.
Answer:
As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Emilia case
Let X the random variable that represent the scores of a test, and we know that
Where 
and 
The z score formula is given by:
Since Emilia made 83 points we can find the z score like this:
Ferdinand case
Let X the random variable that represent the scores of a test, and we know that
Where 
and 
The z score formula is given by:
Since Ferdinand made 79 points we can find the z score like this:
As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.
Answer:
Yes, they will have enough.
Step-by-step explanation:
1. $499.00 + 7% = $533.93
2. $225 x 2 = $550
3. $550 - $533.93 = $16.07 left to spend
