Answer:
24,53cm²
Step-by-step explanation:
rectangle area=length×width=7×3
=21cm²
circle area=1/2Π r²
=1/2×3.14×1.5×1.5
=3.5325cm²
add the two areas
21+3.53=24,53cm²
Answer:
The probability that she will not get a hit until her fourth time at bat in a game is 0.103
Step-by-step explanation:
Previous concepts
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
Solution to the problem
For this case we want this probability

And using the probability mass function we got:
The probability that she will not get a hit until her fourth time at bat in a game is 0.103
96 is the correct answer to your question i
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: D. Cannot be determined.
If Angle 3 were not included, the answer would be A, 360°
Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.
Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°
Angles 1 and 2 are also supplementary, another 180°
But we don't know the measure of angle 3, so getting an exact sum is impossible here.