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Naddika [18.5K]
3 years ago
5

A movie fanatic has amassed a giant collection of home movies, some on DVD and others in the older VHS cassette mode. If the fan

atic has 308308308 movies on DVD, which comprises 31.3\%31.3%31, point, 3, percent of the total collection, how many total movies are in the collection?
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

984

Step-by-step explanation:

DVDs comprises 31.3% of total. And we also know that there are 308 DVD. Thus, we can say:

308 is 31.3% of total

We can let total be x, thus we can write an equation as:

308 = 0.313x

Solving for x:

308 = 0.313x\\x=\frac{308}{0.313}\\x=984.02

We can round and say there are 984 total movies

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The following data represent the pulse rates? (beats per? minute) of nine students enrolled in a statistics course. Treat the ni
charle [14.2K]

Answer:

(a)77.4bpm

(b)Mean of Sample 1 = 70.3 beats per minute.  

Mean pulse of sample 2 = 70 beats per minute.

(c)

  • The mean pulse rate of sample 1 underestimates the population mean.
  • The mean pulse rate of sample 2 underestimates the population mean.

Step-by-step explanation:

(a)Population mean pulse.

The pulse of the nine students which represent the population are:

  • Perpectual Bempah      64
  • Megan Brooks               77
  • Jeff Honeycutt               89
  • Clarice Jefferson           69
  • Crystal Kurtenbach       89
  • Janette Lantka              65
  • Kevin McCarthy             88
  • Tammy Ohm                  69
  • Kathy Wojdya                 87

\text{Population Mean} =\dfrac{64+77+89+69+89+65+88+69+87}{9} \\=\dfrac{697}{9} \\\\=77.44

The population mean pulse is approximately 77.4 beats per minute.

(b)Sample 1: {Janette,Clarice,Megan}

  • Janette: 65bpm
  • Clarice: 69bpm
  • Megan: 77bpm

Mean of Sample 1

\text{Sample 1 Mean} =\dfrac{65+69+77}{3} \\=\dfrac{211}{3} \\\\=70.3

Sample 2: {Janette,Clarice,Megan}

  • Perpetual: 64bpm
  • Clarice: 69bpm
  • Megan: 77bpm

Mean of Sample 2

\text{Sample 2 Mean} =\dfrac{64+69+77}{3} \\=\dfrac{210}{3} \\\\=70

The mean pulse of sample 1 is approximately 70.3 beats per minute.  

The mean pulse of sample 2 is approximately 70 beats per minute.

(c)

  • The mean pulse rate of sample 1 underestimates the population mean.
  • The mean pulse rate of sample 2 underestimates the population mean.
7 0
3 years ago
Can anyone answer this and the step by step process?
laila [671]

x=6

Step-by-step explanation:

using Pythagoras theorem

on small triangle

(2)^2 + b^2 = (√13)^2

4 + b^2. = 13

b^2 = 13- 4

b^2 = 9

b = 3

so x = 2× b

= 2×3

=6

5 0
3 years ago
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