Answer:
The area is 8
Step-by-step explanation:
Break the inorganic shape into known shapes to solve or sum up all the full squares and half squares.
Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:
nCx is calculated as:
This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:
P(4)=0.2592
And P(5) is:
P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
Answer:
1,000 divided by 12=
aprox 83.3 meters per minute
The speed of the current is 25 kilometers per hour.
<h3>What is the speed of the current?</h3>
According to the statement, Naira traveled first with the current and later against the current, both in the same amount of time. We assume that both the speed of the current and the speed of the vehicle are constant. Hence, the travel time can be expanded to the following expression:
s₁ / (v + v') = s₂ / (v - v')
Where:
- s₁ - Distance traveled with the current, in kilometers.
- s₂ - Distance traveled against the current, in kilometers.
- v - Speed of the current, in kilometers per hour.
- v' - Speed of the vehicle relative to the current, in kilometers per hour.
If we know that s₁ = 4.5 km, s₂ = 3 km, v' = 5 km /h, then the speed of the current is:
4.5 / (v + 5) = 3 / (v - 5)
4.5 · (v - 5) = 3 · (v + 5)
4.5 · v - 22.5 = 3 · v + 15
1.5 · v = 37.5
v = 25
The speed of the current is 25 kilometers per hour.
To learn more on relative speeds: brainly.com/question/14362959
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A common form of a line equation is:
y=mx + b , where m is the slope. If two lines are parallel they have equal slopes. So first step is to transform these equations to common form:
A) y=-3x+2
B) x-3y =-3
-3 y =- x-3 / :(-3)
y = 1/3 x +1, 1/3 ≠ -3
C) 3x + y = -6
y = -3x - 6
D) 6x + 2 y = 2
2y= - 6x+2 /:2
y = -3x +1
Answer:B)