The statue stands at a height of 21.4 feet. To explain in detail, we know that a person positioned 50 ft away from the statue looks up at an elevation angle of 16 degrees towards the top and looks down at an angle of depression of 8 degrees to see the base. To visualize, we can draw a diagram. For triangle ABF, we have that FC equals 50. We will employ trigonometric formulas to calculate x. In triangle DEF, similarly, we will apply trigonometric formulas and find that the statue's height equals x+y. Thus, the total height of the statue is found.
Answer:
Option C: 0.28
Detailed explanation:
This situation presents a binomial probability distribution.
We need to determine the likelihood that at least 2 thumbtacks land point up out of 5 tossed ones. This can be expressed as;
P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)
Referring to the histogram;
P(5) = 0.02
P(4) = 0.02
P(3) = 0.05
P(2) = 0.19
Consequently;
P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02
P(X ≥ 2) = 0.28
Answer:
The height of the rock after 3.2 seconds has passed.
Step-by-step explanation:
To respond to this question, we must examine the provided function:
h(t) = –16t2 + 28t + 500
This function h(t) denotes the height of a rock t seconds after it has been launched by a slingshot.
t signifies time (in seconds)
As t is the independent variable and h is the dependent variable, the height of the rock at 3.2 seconds is expressed as h(3.2).
If you have any further questions or need clarification, feel free to ask.
Assuming we start with a full standard deck of 52 and then draw 4 spades along with 1 card from a different suit, that leaves us with 47 cards still in the deck. We are hoping to draw another spade from these remaining cards. Initially, there were 13 spades, but after drawing five cards, 9 spades remain in the deck. The likelihood of pulling one of these 9 spades from the 47 cards is
In other words, we want to get any 1 of the available 9 spades while avoiding any of the other 38 non-spades, and we're drawing just a single card from the 47 cards total.
Refer to the image below. Note that the perimeters are identical since a single rod constitutes the perimeter, and since all rods are of equal length.
