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Temka [501]
3 years ago
15

The average wind speeds for one year at 44 climatic data centers around the United States are as follows:

Mathematics
1 answer:
fgiga [73]3 years ago
5 0
The stem and leaf diagram is shown below

There are a total of 48 data

Question a:
The frequency in the stem for 9 to 9.9 is 13 data

Question b:
The location of the first quartile is given by \frac{n+1}{4}, where 'n' is the number of data

We have n = 48

Location of the first quartile is at \frac{48+1}{4}= \frac{49}{4}=  12.25 rounded down to 12

The value of the lower quartile is on the 12^{th} on the diagram which is 8.7


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I DONT NEED SLEEP I NEED ANSWERS
stellarik [79]

Answer:

You asked to solve questions 3 and 5

<h3>#3</h3>

Since CD = EF,

  • 9x - 1 = 41 - 5x
  • 9x + 5x = 41 + 2
  • 14x = 42
  • x = 3
  • EF = 41 - 5*3
  • EF = 26
<h3>#5</h3>

MN = NP as their perpendicular bisectors are of same length.

  • 9x - 43 = 5x + 33
  • 9x - 5x = 33 + 43
  • 4x = 76
  • x = 19
  • mMP = 360 - (mMN + mNP)
  • mMP = 360 - (9*19 - 43 + 5*19 + 33)
  • mMP = 104
6 0
3 years ago
What is the solution to this equation?<br><br> 8x - 5 (x-3) = 18
Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

3 0
3 years ago
I am confused and dont know what to do .....
choli [55]

Answer:

Try negative 10

Step-by-step explanation:

I took the test

8 0
3 years ago
How many 3 digit numbers are possible when a) the leading digit cannot be zero and the number must be a multiple of 4?
guajiro [1.7K]

Step-by-step explanation:

I assume the digits can be repeated.

so, e.g. 555 is a valid number for this problem, right ?

that means we start with permutations with repetition :

n^r

n = the total number of items to pick from.

r = the number of items being picked per result.

we have 10 digits (0,1,2,3,4,5,6,7,8,9), and we pick 3 of them.

that gives us (with very little surprise, I hope)

10³ = 1000 different possible numbers from 000 to 999.

from these numbers we eliminate all with leading 0.

as we handled all digits the same way and with the same priority, there is the same amount of numbers for every digit in the leading position.

that means 1/10 of the total amount of numbers has a leading 0, or a leading 1, or a leading 2, ...

so, we need to subtract 1/10 × 1000 from 1000 :

1000 - 1000×1/10 = 1000 - 100 = 900

that would be the numbers 100 to 999.

and we have one more condition : the number must be a multiple of 4.

how many are there ?

well, that's the funny thing about numbers : from all numbers 1/2 of them are multiples of 2 (or divisible by 2), 1/3 of them are multiples of 3 (or divisible by 3), and ... you guessed it, 1/4 of them are multiples of 4 (or divisible by 4). and so on.

and so, 1/4 of our 900 numbers are multiples of 4 :

1/4 × 900 = 225

so, there are 225 possible 3-digit numbers that are multiples of 4 and do not start with a 0.

6 0
2 years ago
60 EXTRA POINTS!!!! I need help with writing an inequality for a graph. It is below. :)
ch4aika [34]

Answer:

The answer to your question is:   y ≥ - x + 6  and   y ≥ x - 4

Step-by-step explanation:

Look of a pairs of points for each graph

Line 1                                                  Line 2

A(0, 6)     B (5, 1)                                 C (7,3)               D(5, 1)

m =  (1- 6) / (5- 0)                               m = (1 - 3) / (5 - 7)  

m = -5/5 = -1                                      m = -2 / -2 = 1

Find  the line equation for each slope   (y - y1) = m (x - x1)

(y - 1) = -1 (x - 5)                                 (y - 1) = 1 (x - 5)

y - 1 = -x + 5                                       y -1 = x - 5

y = -x + 5 + 1                                       y = x - 5 + 1

y = -x + 6                                           y = x - 4

Inequality

y ≥ - x + 6                                          y ≥ x - 4

8 0
3 years ago
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