Answer:
13) B
14) A
Step-by-step explanation:
13) Knowing that the interior angles of a triangle add up to 180, we can see that angle A is 53°. To find length c, we can use either sine or cosine. Let's use sine:
sin 37° = b/c = 15.9/c ---> c = 15.9/sin 37 = 26.4
To solve for side a, use cosine:
cos 37° = a/26.4 ---> a = 26.4cos37 = 21.1
14) Again, knowing that the interior angles of a triangle add up to 180, we know that angle B is 52°. This time,let's use cosine (although you may choose sine if you want):
cos 38° = b/16 ---> b = 16cos38 = 12.6
To find side a, use sine:
sin 38° = a/16 ---> a = 16sin38 = 9.9
300 represents the initial amount of the substance, the amount present at t=0.
0.5 is the fraction of substance remaining at the end of each year. The fact that this number is 1/2 indicates the half-life of the substance is 1 year.
Answer:
2.28% probability that a person selected at random will have an IQ of 110 or greater
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a person selected at random will have an IQ of 110 or greater?
This is 1 subtracted by the pvalue of Z when X = 110. So
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
2.28% probability that a person selected at random will have an IQ of 110 or greater
sara speed is half of Jeanette's so if jeanette ran 7 miles then her walking speed is 3.5MPH and sense she is 7 miles ahed sara is 10.5 miles behind... 3.5MPH which is jeanette speed is double than sara so 3.5/2 is 1.75MPH... Saras walking speed is 1.75MPH
Answer:divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.
Step-by-step explanation:
divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.
