Identify the decimals labeled with the letters A,B and C on the scale below

The mean of the following frequency distribution is 25.2. Find the missing frequency x.

sattari [20]

Answer:

Solution:-

Frequency Distribution Frequency Mid values F*M

0 - 10 8 5 40

10 - 20 x 15 15x

20 - 30 10 25 250

30 - 40 11 35 385

40 - 50 9 45 405

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Σf = 38+x Σfm = 1080+15x

______________________________________________________

Given Mean = 25.2

Mean = Σfm/Σf

25.2 = 1080+15x/38+x

25.2 × (38+x) = 1080+15x

957.6+25.2x = 1080+15x

25.2x - 15x = 1080 - 957.6

10.2x = 122.4

x = 122.4/10.2

x = 12

Missing frequency = 12 Answer

4 0

2 years ago

Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank

pav-90 [236]

Answer:

$g(n) = 10 * 3^{n}$

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

$d = g(n) - g(n-1)$

Take n as 1

$d = g(1) - g(1-1)$

$d = g(1) - g(0)$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$d = 30 - 10$

$d = 20$

Take n as 2

$d = g(2) - g(1)$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$d = 90 - 30$

$d = 60$

The two differences are not equal. So, this

For geometry progression:

We calculate the common ratio (r)

$r = \frac{g(n)}{g(n-1)}$

Take n as 1

$r = \frac{g(1)}{g(1-1)}$

$r = \frac{g(1)}{g(0)}$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$r = \frac{30}{10}$

$r = 3$

Take n as 2

$r = \frac{g(2)}{g(1)}$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$r = \frac{90}{30}$

$r = 3$

The two ratios are equal.

So, the next step is to calculate the explicit formula using n term of a geometric progression.

Because the progression starts from 0, we make use of the following formula

$g(n) = g(0) * r^{n}$

Substitute values for g(0) and r

$g(n) = 10 * 3^{n}$

Hence:

The explicit formula is: $g(n) = 10 * 3^{n}$

7 0

2 years ago

Draw a line representing the rise and a line representing the run of the run. State the slope of the line in simplest form.

bekas [8.4K]

4/3 is the correct slope of the line :)

4 0

2 years ago

Read 2 more answers

A bucket contains 6 green tennis balls, 2 yellow tennis balls, and 7 red tennis balls. Tony removes 3 tennis balls, with replace

Orlov [11]

Answer:

A. 2/15, 0.40, 0.47

Step-by-step explanation:

6 green tennis balls

2 yellow tennis balls

7 red tennis balls

15 total tenis balls

probability that the first tennis is a yellow ball:

$\frac{2}{15}$

probability that the second tennis ball is green:

$\frac{6}{15} = 0.40$

probability that the third tennis ball is red:

$\frac{7}{15} = 0.4666 = 0.47$

8 0

2 years ago

Read 2 more answers

X squared = −169. A= undefined B= 13 C= ±13 D= −13

mash [69]

Answer:

A. Undefined.

Step-by-step explanation:

There is no real square root of a negative number.

7 0

3 years ago