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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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Sharon buys four salmon steaks for $22.95 at her local supermarket. The weights of the steaks, in pounds, are 0.68, 0.74, 0.77,
Tema [17]

Answer:

$7.65

Step-by-step explanation:

Given that:

Money used for buying the four salmon steaks = $22.95

Weights of steaks in pounds = 0.68, 0.74, 0.77, and 0.81

To find:

Price of salmon steak per pound, to the nearest cent = ?

Solution:

Total weight of all 4 steaks = 0.68 + 0.74 + 0.77 + 0.81 = 3

Here, to find the price of salmon steak per pound we need to divide the total money used to buy salmon steaks with the total weight of salmon steaks in pounds.

Price of salmon steak per pound = \frac{22.95}{3} = \$7.65

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2 years ago
These cones are similar. find the volume of the smaller cone. round to the nearest tenth.
Kamila [148]

Answer:

Volume of the smaller cone = 8.34 cm³

Step-by-step explanation:

"If two figures are similar, their dimensions will be proportional.

Following this rule,

Ratio of the dimensions of two cones = \frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}

                                                               = \frac{r_2}{r_1}

                                                               = \frac{5}{2}

                                                               = 2.5

Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".

Ratio of the volumes = (ratio of the dimensions)³

\frac{V_1}{V_2}=(2.5)^3

\frac{131}{V_2}=15.625

V_2=\frac{131}{15.625}

    = 8.384 cm³  

    ≈ 8.4 cm³

Therefore, volume of the smaller cone is 8.4 cm³.                          

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larisa86 [58]

Answer:

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Step-by-step explanation:

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Answer: 1. b=-3/2 or -1 1/2

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Step-by-step explanation:

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What is the discount price of the bicycle
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