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drek231 [11]
2 years ago
13

You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability

that a randomly chosen code starts with M and ends with E?
Mathematics
1 answer:
Feliz [49]2 years ago
4 0

Answer:

The probability that a randomly chosen code starts with M and ends with E is 0.05 ....

Step-by-step explanation:

According to the given statement we have to make five letter code from  A, F, E, R, and M without repeating any letter. We have to find that what is probability that a randomly chosen code starts with M and ends with E.

Thus the probability of picking the first letter M = 1/5

After that we require the sequence (not E, not E, not E) which is equal to:

= 3/4 * 2/3* *1/2

= 1/4

Now multiply 1/5 and 1/4

1/5 * 1/4

= 1/20

= 0.05

Therefore the probability that a randomly chosen code starts with M and ends with E is 0.05 ....

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Find square root of 0.0324
irina [24]

Answer:

0.18

Step-by-step explanation:

6 0
1 year ago
A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?
OverLord2011 [107]

Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

7 0
2 years ago
Read 2 more answers
Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin a
oee [108]

Answer:  Most Viable: On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).  

Also possible, but only if someone scoops exact amounts (maybe pre-packaged for people who don't want to do their own scooping.): On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).

Step-by-step explanation:

The line beginning at (0,0) ending at (2.5, 5)  represents all the prices for any amount that the customer scoops.  for example, $5 for 2 1/2 pounds or $1 for 1/2 pound or  $2 for 1 pound would all be represented in the graphed line.

The graphs with negative values don't make sense. You can't scoop negative pounds!

<em>Again, good descriptions but difficult to sort out. Are you able to hit [enter] or [return] between options, or attach a screenshot?</em>

6 0
2 years ago
A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri
SashulF [63]
We are asked in the problem to determine the number of quarters that are needed to complete 4975 units given the equation y = x6 − 25x4 + 199x2 where y is the number of manufactured units and x is the number of quarters needed. 
substituting y = 4975, we find x. <span>x is readily found using calculator.</span>
5 0
2 years ago
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Given: PRST square
Zigmanuir [339]

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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