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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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Line f has a slope of 2/7. Line g is perpendicular to f. what is the slope of line g?​
forsale [732]

Answer:5/7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The sum of the measures of the interior angles of a regular polygon is 5400. find the number of sides in the polygon.
Svet_ta [14]
<span>Sum of Interior Angles = (Number of Sides -2) • 180 degrees
</span>
<span>Number of Sides = [Sum of Interior Angles / 180 degrees] +2

</span><span>Number of Sides = (5,400 / 180) +2

</span><span>Number of Sides = 32

Source:
http://www.1728.org/polygon.htm

</span>
4 0
3 years ago
A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of
Georgia [21]

Answer:

9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}

Step-by-step explanation:

The area of a circle is given by r^2\pi where r is the radius of the circle. The diameter is given as 6 feet, so the radius of this circle is \frac{6}{2}=3 feet.

Plugging in our values, we get:

3^2\pi=9\pi\approx28.27.

7 0
2 years ago
A restaurant offers three sizes of coffee and four differerſt types of coffee.
Kruka [31]
<h3>Answer:  864</h3>

=======================================================

Work Shown:

There are,

  • 3 sizes of coffee
  • 4 types of coffee
  • 2 choices for cream (you pick it or you leave it out)
  • 2 choices for sugar (same idea as the cream)

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

--------------

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

3 0
3 years ago
Please help. thx a bunch
Aleks [24]
0.55 HOPE THIS HELPS!
3 0
3 years ago
Read 2 more answers
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