Answer:
150 meteres squared is your answer
hope this helps you☺️☺️
Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.
For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 5 nickels, hence .
- They are equally as likely to land on heads or tails, hence
The probability that all the nickels will land with heads facing up is P(X = 5), hence:
0.03125 = 3.125% probability that all the nickels will land with heads facing up.
A similar problem is given at brainly.com/question/24863377
<u>Answer:</u>
-
The length of the hypotenuse is 40 mm.
<u>Step-by-step explanation:</u>
<em>We can solve for 'c' using Pythagoras theorem. Let's solve it.</em>
-
c² = 32² + 24²
- => c² = 1024 + 576
- => c² = 1600
- => c = 40
Hence, the length of the hypotenuse is 40 mm.
Hoped this helped.
The graph for
f(x) = sin x
is a sinusoidal graph with the origin as the middle point and the value increases up to the maximum point before going down crossing the x-axis and reaching the minimum point before increasing again until it crosses the x-axis. The graph continues as a wave on both sides indefinitely.
f(x) = 3 sin 4x
has an amplitude of 3 or the highest point is 3 and a period of
Period = 2π/4 = π/2
f(x) = 3 sin 4x + 2
the graph is shifted 2 points upward.
Answer:
below.
Step-by-step explanation:
The number of columns in the first matrix must equal to the number of rows in the second for multiplication to be possible.
Here first matrix has 3 columns and second one has 3 rows so POSSIBLE.
[ -8 2 2] { 3 }
[ 0 ]
[ -3]
= -8*3 + 2*0 + 2 * -3 = [-30] <-------- Answer.
Note a 1*3 matrix multiplied by a 1*3 matrix gives a 1*1 result.