Answer:
See explanation
Step-by-step explanation:
A. Solution set is in the attachment (dark green shading in the middle)
B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15
5 + 1 > 3, 6 is greater than 3
C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches
Answer:
0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.
Step-by-step explanation:
We are given the following information:
We treat adult adults wear glasses or contact lenses as a success.
P(Adults wear glasses or contact lenses) = 75% = 0.75
Then the number of adults follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 10
We have to evaluate:
P(fewer than 8 of the selected adults wear glasses or contact lenses)
0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.
Answer:
Step-by-step explanation:
Distance covered = speed × time.
Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.
This means distance covered while running would be
3.8 × 1/2 = 1.9 meters
Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be
1.5 × 1/2 = 0.75 meters
Total distance that Sasha covered while running and walking in 60 minutes would be
1.9 + 0.75 = 2.65 meters
Given inequality: 2y−x ≤ −6
Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied
Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied
Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.
Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.
Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.
Solutions are: (1, -4), (0, -3) , (2, -2)
Answer:
Option F is correct, i.e. "rotating 90° counterclockwise around point C."
Step-by-step explanation:
Given is the regular octagon PQRSTVWZ with its center at point C.
To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.
We can not use Translations, Reflections, and Dilations because they will change size and coordinates.
We can use only Rotations and that should be about the center C of the regular shape.
About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.
Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."
