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2 years ago

Draw a diagram that shows 1/5 times 30 equals 6. Please include a diagram

Mathematics

2 answers:

kobusy [5.1K]2 years ago

4 0

The diagram included should explain this.

Darya [45]2 years ago

3 0

A diagram is a drawing that explains something. So, we need to draw a diagram that shows the following:

$\frac{1}{5} \times 30 = 6$

This diagram is illustrated in the Figure below. Thus, we have that:

Total number = 30

The Figure shows 30 rectangles labeled with 1/5 each. If we sum these 30 times the number 1/5, we get the number 6. In other words:

$\boxed{\frac{1}{5} \times 30=6}$

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Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum

anygoal [31]

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars 1st year 2nd-year 3rd-year 4th year

Preferred dividend

paid a $34,000 $38,000 $36,000 $36,000

Number of preferred

stock b 60,000 60,000 60,000 60,000

Dividend per share

(a ÷ b) $0.57 $0.63 $0.60 $0.60

Dividend paid to common

stockholders c $0 $38,000 $44,000 $64,000

Number of common stock

shares d 410,000 410,000 410,000 410,000

Dividend per share

on common stock $0 $0.093 $0.11 $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars 1 year 2 year 3 year 4 year

Total dividend paid $34,000 $76,000 $80,000 $100,000

Less:

Preferred stock

dividend $34,000 $38,000 $36,000 $36,000

Dividend paid to common

stockholders $0 $38,000 $44,000 $64,000

8 0

2 years ago

Alexis has a rectangular piece of red paper that is 4 cm wide its length is twice its width she Glooze a rectangular r Alexis ha

UNO [17]

Are you looking for the area or the perimeter?

Perimeter: 24

Area: 32

Hope this helped!

-TTL

5 0

2 years ago

Read 2 more answers

after 24.0 days, 2.00 milligrams of an original 128.0 milligram sample remain. what is the half-life of the sample?

coldgirl [10]

<span>(1/2)n = 0.015625
n log 0.5 = log 0.015625
n = log 0.5 / log 0.015625
n = 6</span><span>24 days / 6 half-lives = 4.00 days (the length of the half-life)

</span>

6 0

2 years ago

Suppose X is the breaking strength (newtons) of a material, and X is normally distributed with

Veronika [31]

Answer:

a) 0.997 is the probability that the breaking strength is at least 772 newtons.

b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 800 newtons

Standard Deviation, σ = 10 newtons

We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P( breaking strength of at least 772 newtons)

$P(x \geq 772)$

$P( x \geq 772) = P( z \geq \displaystyle\frac{772 - 800}{10}) = P(z \geq -2.8)$

$= 1 - P(z$

Calculation the value from standard normal z table, we have,

$P(x \geq 772) = 1 - 0.003 = 0.997 = 99.7\%$

0.997 is the probability that the breaking strength is at least 772 newtons.

b) P( breaking strength of at least 772 but not more than 820)

$P(772 \leq x \leq 820) = P(\displaystyle\frac{772 - 800}{10} \leq z \leq \displaystyle\frac{820-800}{10}) = P(-2.8 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2.8)\\= 0.977 - 0.003 = 0.974 = 97.4\%$