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Deffense [45]
2 years ago
12

Sam wanted to find three consecutive even numbers that add up to 84. He wrote the equation k + (k + 2) + (k + 4) = 84. What does

k reperesent? a) The least of the three even numbers b) The middle even number c) The greatest of the three even numbers d) The average of the three even numbers.
Mathematics
1 answer:
Gelneren [198K]2 years ago
6 0

Answer:

I may be wrong here, but I think it's C If not then I have no idea ;-;

Step-by-step explanation:

You might be interested in
The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
2 years ago
Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
2 years ago
Eight teams of high school students helped clean up trash in the community. Afterwards, they shared 23 pizzas equally. How many
USPshnik [31]
Answer:
each team got 2.875 pizzas

Explanation:
We are given that:
number of teams = 8 teams
number of pizzas = 23 pizzas
Now, these 23 pizzas will be divided equally among the 8 teams.
So, to get the amount that each team will get, all you have to do is divide 23 by 8 and get the result as follows:
amount that each team gets = 23/8 = 2.875 pizzas

Hope this helps :)
3 0
2 years ago
Carla and Marty have three straws. The straws have lengths 8 inches, 10 inches and 14 inches. They are going to use their straws
IgorLugansk [536]
Carla is correct because they will not all be exactly the same unless they choose to make them all be the same. Hope I could help! :D
6 0
2 years ago
This table shows the area in inches of four rectangular scraps of fabric.
mote1985 [20]

Answer:

<h2>82 in²</h2>

Step-by-step explanation:

The median of the four numbers a, b, c and d. Where a ≤ b ≤ c ≤ d:

\dfrac{b+c}{2}

We have

84in², 72in², 80in², 84in² → 72in², 80in², 84in², 84in²

The median:

\dfrac{80+84}{2}=\dfrac{164}{2}=82\ in^2

8 0
2 years ago
Read 2 more answers
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