Response:
Step-by-step explanation:
Assuming there are 100 sour candies, thus-
since 26% of the candies are grape, it follows that 26% of 100 candies means we have 26 grape candies
Consequently, the remaining candies that are not grape amount to 100-26 = 74
Applying the multiplication principle:
P(A ∩ B) = P(A)/ P(B|A)
Initially, there are 26 grape candies, therefore the probability of selecting the first grape candy = 26C1 = 26
After choosing the first one, we put the selected grape candy back, so there are still 100 candies total P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!
= 50 x 33 x 98
Thus, the probability becomes 1/ 50 x 33 x 98 x 26
= 1/4204200
The telescope’s cost is $91
4.55 divided by 5% (0.05) equals 91.
Answer:
The formula representing the penny's height as a function of time is:
After 7 seconds, the height of the penny will reach 667 feet.
Step-by-step explanation:
The penny experiences free fall.
With an initial velocity of zero and an initial height of h(0)=1,451.
Gravity acts as the acceleration, measured as g=32 ft/s^2.
The model can be initiated by analyzing speed:
Then, the height is expressed as:
The height of the penny at approximately 7 seconds can be calculated as:
After 7 seconds, the penny will stand at a height of 667 feet.
2x − y = −4 → 10x − 5y = −20
3x + 5y = 59 → 3x + 5y = 59
13x = 39..... this is derived from adding the two equations on the right.
13x = 39 can be used in place of 3x + 5y = 59 in the initial system and will yield the same result.
Answer:
Angle x = angle 115°.
Step-by-step explanation:
Given: We have two parallel lines intersected by a transversal.
To find: The value of x.
Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.
Thus, angle x = angle 115, being corresponding angles.
Therefore, angle x = angle 115.
