Find the missing length indicated.

The solids are similar. Find the missing dimensions.

DedPeter [7]

Answer:

b = 18 m

c = 19.5 m

h = 9 m

Step-by-step explanation:

Call the smaller solid the original one, and call the larger solid the scaled one.

1. Find the scale factor

scale factor = length in scaled one / corresponding length in original one

scale factor = 7.5/5 = 1.5

The scale factor is 1.5

That means if you multiply any linear dimension of the original one by 1.5, you get the corresponding dimension of the scaled one.

Let's check our scale factor to make sure it's correct.

We see that the 5 m side corresponds to the 7.5 m side.

5 m * 1.5 = 7.5 m

Multiplying an original length by the scale factor of 1.5 gives us the scaled up length, so our scale factor of 1.5 is correct. Now we apply the scale factor of 1.5 to find b, c, and h.

b corresponds to 12 m

b = 12 m * 1.5 = 18 m

c corresponds to 13 m

c = 13 m * 1.5 = 19.5 m

h corresponds to 6 m

h = 6 m * 1.5 = 9 m

Answer:

b = 18 m

c = 19.5 m

h = 9 m

8 0

3 years ago

The heights of 10 year old children has a normal probability distribution with mean of 54.6 inches and standard deviation of 5.7

Fofino [41]

Answer:

a) 0.69

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

Step-by-step explanation:

Step(i):-

Given mean of the Population = 54.6 inches

Given standard deviation of the Population = 5.7 inches

Let 'X' be the random variable of normal distribution

Let 'X' = 51.75 inches

$Z = \frac{x-mean}{S.D} = \frac{51.75-54.6}{5.7} = -0.5$

Step(ii):-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = P(Z>-0.5)

= 1 - P( Z < -0.5)

= 1 - (0.5 - A(-0.5))

= 1 -0.5 + A(-0.5)

= 0.5 + A(0.5) (∵A(-0.5)= A(0.5)

= 0.5 +0.1915

= 0.6915

Conclusion:-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

5 0

3 years ago

In a five-card poker hand, what is the probability of being dealt exactly one nine and no picture cards?

earnstyle [38]

Answer:

0.0907

Step-by-step explanation:

There are 12 picture cards

There are 4 9's

There are 52-12-4 = 36 cards that are not 9's and not picture cards

(5*58905)/(52C5)

3 0

3 years ago

On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050

Anastaziya [24]

The amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400, which is the fair value of the Common Stock of Zip Company.

<h3>What is the fair value of an investment?</h3>

The fair value of an investment is the current value and not the historical cost when the investment was made.

Fair value refers to the intrinsic worth of an asset or security.

<h3>Data and Calculations:</h3>

Income Dividends Common Stock Akron's Investment

Declared Fair Value (12/31) in Zip Company

2019 $321,000 $16,050 ($321,000 x 5%)

2020 $79,000 $6,200 376,000 $94,000 ($376,000 x 25%)

2021 89,000 15,800 478,000 $143,400 ($478,000 x 30%)

Excess attributed to share of Zip's franchises = $33,350 ($143,400 - $110,050).

Thus, the amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400.

Learn more about the fair value of an investment at brainly.com/question/13219936