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Mkey [24]
2 years ago
7

41,42,43,44,45,45,45,45 what number is the median? what number is the mode?

Mathematics
1 answer:
Assoli18 [71]2 years ago
4 0

Answer: Median: 44.5 Mode: 45

Step-by-step explanation: Median is the middle number. Since it's an even set, you add the two middle numbers and divide by two. The mode is just the number that appears the most.

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A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i
Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: \frac{x}{20}+\frac{x}{12}+900= 1200 , where x is the distance.

B.  The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is x feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, Time=\frac{Distance}{Speed}

So, the time taken by the bee to reach the flowerbed = \frac{x}{20} seconds and the time taken to fly back to the hive =\frac{x}{12} seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

5 0
3 years ago
Rephrase in contrapositive form:
miv72 [106K]

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

The rule for Contrapositive is: Negative both statements and interchange them. \sim q \rightarrow \sim p

Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.

Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".

It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".

Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.

Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.

Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"

The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.

Remember negative means opposite.

Contrapositive: If xy < 0 then x<0 and y<0.

8 0
3 years ago
Mike plans to paint a wall in his living room blue.that wall measures 10 feet tall and 8 feet wide.what is the area of the wall
Lorico [155]

Answer:

Step-by-step explanation:

L x W

10 x 8

<h3>80ft squared </h3><h3 /><h3 /><h3 />
5 0
3 years ago
115% of what number is 120
malfutka [58]
115% is the same as 1.15
some number = x

115% of some number is 120
1.15 of x is 120
1.15 * x = 120

x = 104.3478
<span>x ≈ 104.3</span>
7 0
3 years ago
The product of 4, and a number increased by 8, is -48
german

Answer:

4n + 8 = -48

n = -14

Step-by-step explanation:

Using key words from the problem, you can set up an equation with the proper operations to solve for the variable.  Product = multiplication, so the 'product of 4 and a number' = 4n.  Increased = addition, so increased by 8 = 4n + 8.  The word 'is' means equal to, so:

4n + 8  = -48

In order to solve for 'n', you use inverse (opposite) operations and whatever you do to one side of the equation, you do to the other:

Subtract 8:  4n + 8 - 8 = -48 - 8 or 4n = -56

Divide 4:  4n/4 = -56/4

Solve for 'n':  n = -14

8 0
3 years ago
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