Answer:
0.03%
Step-by-step explanation:
Simple interes = PRT/100
Given
Interest = $590.00
Principal P = $8000
Time T = 285 days
Rate = ?
Since I = PRT/100
R = 100 x I /PT
= 100 x $590.00 /$8000 x 285
Multiply through
= 59000/2280000
= 0.03%
Answer: 250m
Step-by-step explanation:
Length of rectangle = 140m
Length of rectangle = diameter of semicircle = 140m
Therefore, Radius(r) = 140m / 2 = 70m
Perimeter of the shaded region:
Length of tangent at P + length of tangent at Q + shaded portion of arc(AB)
Length of tangent = diameter / 2
Length of tangent = 70m
Perimeter of a circle = 2πr = 2 × 22/7 × 70 = 440m
shaded portion = 440 / 4 = 110m
Therefore, perimeter of shaded portion equals
70m + 70m + 110m = 250m
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
Answer:
916.1 cm^3
Step-by-step explanation:
1) find the radius of the cylinder:
radius = dimater / 2 = 7,3 / 2 = 3.65 cm
2) find the base area of the cylinder:
base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2
3) find the height of the cylinder:
height = 7.3 x 3 = 21.9 cm
4) find the volume
V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3
5) round to nearest tenth:
916. 1 cm^3