Answer:
Angle M=14.25°
Step-by-step explanation:
Sin(M)=16/65
Sin^-1(16/65)=14.25°
Answer:
33.85 units^2
Step-by-step explanation:
you must first draw the triangle on the plane using the equations (see
attached file), you will have a right angle triangle with a height of 192 and a base of 6.
then you calculate the angle with the tangent function = 88.21
Then you use the small triangle to find the value of a (see attached file).
Finally, you propose an equation for X to find one of the sides of the triangle, once you have x squared it, and you already have the area,
i attached procedure
Answer:
The greatest common factor 24 and 45
The GCF of 24 and 45 is 3.
Step-by-step explanation:
I googled it
Ex: l -3 l = 3.
the two vertical lines on either side stand for absolute value, or the distance to 0 from the given number.
THE ANSWER WILL ALWAYS BE POSITIVE (except...)
however, if there is a negative sign on the OUTSIDE of the bars, the answer will be NEGATIVE.
ex: - l -4 l = -4
ex: l -4 l = 4
Answer:
99.87% of cans have less than 362 grams of lemonade mix
Step-by-step explanation:
Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;
We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;
Pr(X<362)
We calculate the z-score by standardizing the random variable X;
Pr(X<362) =
This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;
Pr(Z<3) = 0.9987
Therefore, 99.87% of cans have less than 362 grams of lemonade mix