Answer:
5
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
because 7+4=28 x 5 =140-60=80
14 cm
24 cm
10 cm
140 cm
Answer:
10 cm
Step-by-step explanation:
Because it is a parrallogram and by its property it will be 10
a. What is the expected number of calls in one hour?
b. What is the probability of three calls in five minutes?
c. What is the probability of no calls in a five-minute period?
Answer:
a) The expected number of calls in one hour is 30.
b) There is a 21.38% probability of three calls in five minutes.
c) There is an 8.2% probability of no calls in a five minute period.
Step-by-step explanation:
In problems that we only have the mean during a time period can be solved by the Poisson probability distribution.
Poisson probability distribution
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
a. What is the expected number of calls in one hour?
Calls come in at the rate of one each two minutes. There are 60 minutes in one hour. This means that the expected number of calls in one hour is 30.
b. What is the probability of three calls in five minutes?
Calls come in at the rate of one each two minutes. So in five minutes, 2.5 calls are expected, which means that . We want to find P(X = 3).
There is a 21.38% probability of three calls in five minutes.
c. What is the probability of no calls in a five-minute period?
This is P(X = 0) with .
There is an 8.2% probability of no calls in a five minute period.
Answer:
See Below.
Step-by-step explanation:
Remember multiplicity rules:
From the graph, we can see that at our zeros, the graph always passes through the x-axis.
Hence, we do not have any zeros with even multiplicity since the graph does not "bounce" at any of the zeros.
To determine if a polynomial function has zeros with even multiplicity, examine the graph or the exponents of the factors in the function. If there are no real zeros or all the factors are raised to odd powers, there won't be any even multiplicity zeros.
In order to determine if a polynomial function has zeros with even multiplicity, we can examine the function's graph. If a polynomial function does not have any real zeros, then it does not have any zeros with even multiplicity. This is because even multiplicity zeros occur when a factor appears multiple times in the function. However, if all the factors are raised to odd powers, then there won't be any even multiplicity zeros. On the other hand, if the function does have real zeros, we can look at the graph of the function to check if any zeros occur with even multiplicity.
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Answer:
65.94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
Identify
3.14(a² + ab)
a = 3
b = 4
Step 2: Evaluate
Hey there!
3.14(a^2 + ab)
= 3.14(3^2 + 3 *4)
3^2
= 3 * 3
= 9
3 * 4
= 12
3.14(9 + 12)
9 + 12
= 21
3.14(21)
= 65.94
Answer: 65.94
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Step-by-step explanation:
The greatest common factor (GCF) of 27 and 45 is 9.
27 + 45
9 (3 + 5)
9 (8)
72
The expression 27 + 45 is rewritten using the Greatest Common Factor (GCF) and the distributive property as 9*(3 + 5) = 72.
The given expression is 27 + 45. To rewrite this using the Greatest Common Factor (GCF) and the distributive property, we first find the GCF of the two numbers. The GCF of 27 and 45 is 9. We then divide each number by the GCF and rewrite the expression using the distributive property.
So, 27 + 45 = 9*(3 + 5) = 9*8 = 72.
The above step is the application of the distributive property, where a*(b + c) = ab + ac.
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Answer:
V= 22-2t
Step-by-step explanation:
I guess the alphabet should be v instead of y. So I am working using v
The rate at which water is draining from the tank is 2gallons/hour. This is the rate of water removal from the tank. So after an hour, 2 × 1= 2 gallons would have drained. After 5 hours, 2×5 =10 gallons would have drained
Therefore to obtain the amount of water in gallons that have been removed from the tank, you will multiply the rate by the time in hours after which the draining started.
Amount (gallons) =2×t
The amount of water remaining in the tank will be obtained by subtracting the amount of water drained after some hour (2×t) from the initial amount of water in the tank (22)
Therefore, the amount of water present in the tank (v)= 22-2t or 2(11-t) gallons
The formula to express volume of the water v in terms of time t is v = 22 - 2t, where 22 is the initial volume and 2t represents the rate at which the water is draining.
This problem is a mathematical representation of a real-world scenario using a linear equation. The volume of water v in the tank can be represented in terms of time t through the equation v = 22 - 2t. This equation illustrates the initial volume of water in the tank (22 gallons) and accounts for the constant rate at which the water is draining (2 gallons per hour).
When time t = 0 (meaning no time has passed since the water started draining), the volume of water v = 22 (the initial volume). As time increases, the volume gradually decreases at a rate of 2 gallons per hour, represented by the term -2t.
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