Given situation: There were 548 films released in 2011. Rated PG were approximately 8.75% of the released movie.
Question: Find how many PG movies were released in 2011. PG means Parental guidance.
Solution,
=> 8.75% = 8.75 / 100 = 0.0875
=> Now, let’s multiply this decimal number to the total number of films released.
=> 548 * 0.0875
=> 47.95. Round off to 50.
Thus, there were approximately 50 films released that were Rated PG.
Answer:
Option D) Yes, he made an error. Because he was seeking the probability that his home runs traveled at least 385 feet, he looked up −0.46 and failed to subtract the probability from 1. The correct probability is 0.6772.
Step-by-step explanation:
We are given that Evan's home run hitting distance is normally distributed with a mean of 398 feet and a standard deviation of 28 feet i.e. = 398 feet and = 28 feet.
Also, He wanted to find the probability that his home runs traveled at least 385 feet. He calculated the z-score to be −0.46 and looked up the probability on the Standard Normal Probabilities table. He found that the table stated his probability as 0.3228 .
The probability he stated is wrong because as we know that probability that his home runs traveled at least 385 feet is given by P(X >= 385 feet) ;
where, X = home run is being hit
Z = ~ N(0,1)
P(X >= 385) = P( >= ) = P(Z >= -0.46) = P(Z <= 0.46) = 0.6772.
When looking at the z table we find that at 0.46 critical value of x, the probability area is 0.6772 .
Answer:
-x + 2y + 1 > 0
Step-by-step explanation:
Let's find the equation of the dashed line first. From the graph, we can see that it has a slope of 1/2 and a y-intercept of -1/2 so using slope-intercept form, the equation of the line is y = 1/2x - 1/2. Since the line is dashed and not solid, we know that we will use either < or > instead of ≤ or ≥, and because we can see that the shaded region is above the dashed line, we know that the linear equation is y > 1/2x - 1/2. However, we want the answer to be in the form ax + by + c > 0 where a, b, and c are integers so therefore:
y > 1/2x - 1/2
= 2y > x - 1
= -x + 2y + 1 > 0
Its looks like there is no question here. Find x maybe?
the shaded part is a right triangle so we can use Pythagorean theorem
c² = a² + b²
c is the longest side of the or hypotenuse
so I can write it as m² + m² = 9²
m² + m² = 81
2m² = 81
/2 /2
m² = 40.5
√ √
m = √40.5 (well its actually = or - but since it really measurement its +)
~ 6.39
since x is to ms its 2 x 6.39
$36,058.24
35,008 x 3% or 35,008 x .03 = 1,050.24
Add to original salary 35,008 + 1,050.24 = 36,058.24