Answer:
b. 58%
Step-by-step explanation:
Calculate the area of the entire rectangle using the formula A = lw.
The lowercase "L" is for length.
"w" is for width.
The lighter square is 10 units long by 5 inches wide.
A = lw
A = (10 in)(5 in) Multiply
A = 50 in²
Calculate the area for the shaded rectangle, 7 inches by 3 inches.
A = lw
A = (7 in)(3 in) Multiply
A = 21 in²
Calculate the area for the non-shaded region by subtracting the shaded area from the total area.
50 in² - 21 in² = 29 in²
The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.
Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.
29/50 = 0.58
0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.
0.58 = 58%
Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.
Answer:
<h3>1 secs</h3>
Step-by-step explanation:
Given the height of the discus can be modeled by the equation y=−16x
^2
+32x+4, where y represents the height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.
Velocity v = dy/dx = 0
dy/dx = -32x + 32
0 = -32x + 32
32x = 32
x = 1 secs
Hence it will take the discus 1 secs to reach its maximum height
Answer:
25
Step-by-step explanation:
Note x^2y + xy^2 = xy(x+y)
We know xy = 5 and x+y = 5, so
5*5=25
Answer:
Interest earned = $32.835
Step-by-step explanation:
Given the following data;
Principal = $275
Number of times = 0.5
Interest rate = 2.9% = 0.029
Time = 4 years
To find the interest earned, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
A = $307.835
Interest earned = 307.835 - 275
Interest earned = $32.835
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
