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3 years ago

PLEASE HELP

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Answer:

A. 1/36 B. 1

Step-by-step explanation:

A. if (6^2)x=1; 6^2=36

36x=1

x=1/36

B. If (6^0)x=1; 6^0=1

(1)x=1

x=1

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Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal co

Sveta_85 [38]

Answer:

a) Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

Step-by-step explanation:

a) The concept applied here is combinatorics ; nCr = n!/(n - r)!r!

we are told that out of 5bidders, Three of the bidders were large construction conglomerates

and two were small specialty contractors.

selecting two recipients with tree of the bidders were large construction conglomerates 3C2

= 3!/(3-2)!2!

= 3

Similarly, selecting the two small casualty contractor from the total of 5bidders = 5C2

= 5!/(5-2)!2!

= 10

Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

b) if DOTs claim is not true ( probability of failure) = 1 - 0.3

= 0.7 , this value implies that the probability 0.3 is largely compatible and a compliment of the 0.7 and as such it is consistent with the DOTs claim that the selection was random.

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3 years ago

13. A high school has 1600 students. In a random sample of 50 students, 15

Orlov [11]

Answer:

480

Step-by-step explanation:

In 50 student's play station is owned by =15 student's

∴ In 1 student play station is owned by =15÷50 student

∴In 1600 student's play station is owned by =(1600×15)÷50 student's

=480 student's

∴The number of the student at the high school who

own a Play station is 480

(Ans)

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3 years ago

A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm. How many cubic cm of popcorn can the cup hold? Use 3.14 as a

katovenus [111]

Answer:

The cup can hold <u>235.5 cubic cm</u> of popcorn.

Step-by-step explanation:

Given:

A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm.

Use 3.14 as an approximation for pi.

Now, to find cubic cm of popcorn the cup can hold.

Radius ( r ) = 5 cm.

Height ( h ) = 9 cm.

π = 3.14 ( as per question ).

So, to get the cubic cm of popcorn the cup can hold we put formula of volume:

$Volume = \pi r^2\frac{h}{3}$

$Volume=3.14\times 5^2\times \frac{9}{3}$

$Volume=3.14\times 25\times 3$

$Volume=235.5\ cubic\ cm.$

Therefore, the cup can hold 235.5 cubic cm of popcorn.

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