Answer:
Answer B (57 degrees) is closest
Step-by-step explanation:
Find the measure of Angle A, if the hypotenuse is 26 and the horizontal leg is 14. If this is true, then
cos A = adj / hyp = 14/26 = 0.5385, and
Angle A = arccos 0.5385, which (via calculator) comes out as 1.002 radian, or 57.421 degrees. Answer B (57 degrees) is closest.
Answer:
the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Step-by-step explanation:
The summary of the given statistical data set are:
Sample Mean = 186
Standard deviation = 29
Maximum capacity 3,417 pounds or 17 persons.
sample size = 17
population mean =3417
The objective is to determine the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds
In order to do that;
Let assume X to be the random variable that follows the normal distribution;
where;
Mean
= 186 × 17 = 3162
Standard deviation = 
Standard deviation = 119.57






Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Answer:
Discriminant is 60
Step-by-step explanation:
the discriminant of 
To find discriminant , first we write the equation in the form of


Subtract 2 on both sides

a=3, b=6, c=-2
Formula for discriminant is 
Plug in the values

Discriminant is 60
Answer: -6
Explanation: In this problem, we're given the function f(x) = 3x - 12 and we're asked to find f(2).
To find f(2) or the value of the function when <em>x </em>equals 0, we simply substitute 2 in for <em>x</em> in our function. So we have f(x) = 3(2) - 12 or 6 - 12 which equals -6.
So f(2) or the value of the function when <em>x </em>equals 2 is -6.