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vovikov84 [41]
3 years ago
12

Given a mean of 61.2 and a standard deviation of 21.4, within how many standard deviations of the mean do the values 45,78,62,90

, and 31 fall? a.0 b.1 c.2 d.3
Mathematics
2 answers:
Anarel [89]3 years ago
6 0

Answer:

The answer is C which is 2

Licemer1 [7]3 years ago
5 0
Determine the number of standard deviations that needs to be subtracted from or added to the mean in order to arrive to the values given.
  
(1) 45 = 61.2 - 21.4n   ; n = 0.757
(2) 78 = 61.2 + 21.4n  ; n = 0.785
(3) 62 = 61.2 + 21.4n  ; n = 0.037
(4) 90 = 61.2 + 21.4n   ; n = 1.346
(5) 31 = 61.2 - 21.4n    ; n = 1.4

Therefore, the answer for 45 and 78 is approximately 1 (letter b), for 62 is zero (letter a), and for the last two numbers, more than 1 or two (letter c). 
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If x is a number which expression represents the statement 4 less than the product of 2 and a number
zhannawk [14.2K]
I think the expression that you need is, 4-(2x). Hope it helps!
3 0
3 years ago
The question is in the picture. Plz helppp it is due tonight
Mkey [24]

Answer:

Step-by-step explanation:

We're given one equation, we have to find the other equation and solve each for 200, and whichever has the lower x is the winner

for Jayden we are given

(0, 48), (1, 56), (2, 64), (3, 72), (4, 80)

This looks to be a line. The y values are each separated by a common difference

We can use two points to describe the line

m = \frac{y_2-y_1}{x_2-x_1} = \frac{80-48}{4-0} = \frac{32}{4} = 8\\  K = 8m + b\\48 = 8(0) + b\\b = 48\\so\\K = 8m + 48

Now we can set both K = 8m + 48 and K = m^2 + 10 equal to 200

200 = 8m + 48\\152 = 8m \\m = \frac{152}{8} = 19

200 = m^2 + 10\\m^2 = 190\\m = \sqrt{190} = 13.784

Keiko's blog will reach 200 subscribers fastest.

7 0
3 years ago
Jade has a budget of $200
stealth61 [152]
And? It’s there a full question?
8 0
3 years ago
What is the approximate scale factor dilating from the red image to the blue image?Explain how you figured this out.
Lorico [155]

If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.

Explanation:

  • The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
  • To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor = \frac{baselengthbeforescaling}{baselengthafterscaling} = \frac{2.5}{9} = 0.2777.
  • So the red image is dilated by a scale factor of 0.2777 to produce the blue image.

5 0
3 years ago
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
ipn [44]

Answer:

y = \frac{-x}{3} + 5

Step-by-step explanation:

Given A (x₁, y₁) = ( -6, 7) and B (x₂, y₂) = (-3, 6)

Slope of line passing through points ( -6, 7) and  (-3, 6) is:

m = \frac{y_{2} -y_{1}}{x_{2} -x_{1}} =\frac{6 - 7}{-3 + 6} =\frac{-1}{3}

Now, the equation of line in point-slope form:

(y - y₁) = m (x - x₁)

Substituting the value of m and  (x₁, y₁) = ( -6, 7) in above equation,

(y - 7) = \frac{-1}{3}(x - (-6))

(y - 7) = \frac{-1}{3}(x + 6)

3y - 21 = -x - 6

3y = -x - 6 + 21

3y = -x + 15

y = \frac{-x + 15}{3}

y = \frac{-x}{3} + 5

Option B is the correct answer.

6 0
3 years ago
Read 2 more answers
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