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Step2247 [10]
3 years ago
6

One standard size for the United States flag is 19 feet by 10 feet. On a flag of this size, the union (the blue rectangle in the

top-left corner) is 7 5 8 feet by 5 3 8 feet. Astronauts on the Apollo missions had a flag on a shoulder patch, use the scale factor 1/60 and find the union dimensions for the patch
Mathematics
1 answer:
amm18123 years ago
7 0

Answer: 0.127 feet by 0.090 feet

Step-by-step explanation:

Given that :

The USA's flag dimension = 19feet by 10feet

Union's (blue rectangle in the top left corner) dimension = 7 5/8 feet by 5 3/8 feet.

Union dimension for the shoulder patch of the USA flag used by astronauts for the Apollo mission has a scale factor of 1/60

Therefore, dimension of the union patch ;

1/60 * ( 7 5/8 feet by 5 3/8 feet)

1/60 * (61 / 8 feet by 43/8 feet)

61/480 feet by 43/480 feet

0.127 feet by 0.0895 feet

0.127 feet by 0.090 feet

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A test consists of 100 multiple choice questions, each with five possible answers, only one of which is correct. Find the mean a
TEA [102]

Answer:  Mean = 20 and standard deviation = 4

Step-by-step explanation:

Let x represents the success of getting the correct answer.

Here, the total number of trials(n) = 100

The probability of getting the correct answer, p = 1/5

Thus, the mean of the number of correct answer,

\mu_x= np

\mu_x= 100\times 1/5

\mu_x= 20

Now, the standard deviation, \sigma_x= \sqrt{n\times p\times (1-p)}

\sigma_x= \sqrt{100\times 1/5\times 4/5}

\sigma_x= \sqrt{16}

\sigma_x= 4

Thus, First option is correct.



6 0
4 years ago
1. The midpoint of KL is M(5, -7). One endpoint is K(9,-7). Find the coordinates of the other endpoint L.
kirill115 [55]

Answer:

L (1, - 7 )

Step-by-step explanation:

give endpoints (x₁, y₁ ( and (x₂, y₂ )  then the midpoint is

( \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} )

here (x₁, y₁ ) = K (9, - 7 ) and (x₂, y₂ ) = L (x, y )

use the midpoint formula and equate to corresponding coordinates of M

\frac{9+x}{2} = 5 ( multiply both sides by 2 to clear the fraction )

9 + x = 10 ( subtract 9 from both sides )

x = 1

and

\frac{-7+y}{2} = - 7 ( multiply both sides by 2 )

- 7 + y = - 14 ( add 7 to both sides )

y = - 7

Then L  = (1, - 7 )

8 0
2 years ago
a triangular prism has a base with a length of 6 in and a height of 8 cm. the height of the whole prism is 12 cm. What is the vo
777dan777 [17]
The volume of a prism of this type is 

v= (1/2) x B x h x H 

(1/2) x 15.24 x 8 x 12

= 732
6 0
3 years ago
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mr Goodwill [35]

Answer:

It would be 6.8

8 0
3 years ago
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A study was conducted of the trend in the design of social robots. In a random sample of 113 social​ robots, 67 were built with
Leno4ka [110]

Answer:

97/113

Step-by-step explanation:

67 robots have legs only, 21 have wheels only, and 9 have both legs and wheels.  The total number of robots with legs and/or wheels is 97.

The probability is 97/113.

4 0
3 years ago
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