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maks197457 [2]
2 years ago
10

The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground. Th

ere is a path that connects each water fountain. How many ways can someone walk from one drinking fountain to another drinking fountain without retracing their steps and while staying on the path?
Mathematics
1 answer:
ipn [44]2 years ago
7 0
The answer is 21 save
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Hilda cuts a ribbon into2 equal pieces. Then she cuts 4 inches off one piece. That piece is now 5 inches long. What was the leng
Anna11 [10]
Start from the end. 5+4*2. Which in turn equals 18 inches.
5 0
1 year ago
Read 2 more answers
Adam sells medical magazine and books. the table shows price for both Magazine £8
kumpel [21]

Adam earned a total of £265.10 last week.

Step-by-step explanation:

Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold  and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.

Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,

Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,

Money earned for selling 42 magazines = 42 × £0.80 = £33.60,

Money earned for selling 14 books = 14 × £2.25 = £31.50,

Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 =  £65.10.

Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.

Last week's salary =  £200 +  £65.10 = £265.10.

5 0
1 year ago
Read 2 more answers
The front walkway from the street to Pam's house has an area of 250ft^2. Its length is two less than four times its width. Find
OleMash [197]

Answer: the length of the walkway is 30.64ft

The width of the walkway is 8.16ft

Step-by-step explanation:

Since the walkway has length and width, it is rectangular in shape. For a rectangle, the two lengths and two widths are equal. The area is expressed as length, L × Width,W.

The front walkway from the street to Pam's house has an area of 250ft^2. It means that

LW = 250

Its length is two less than four times its width. It means

L = 4W - 2

Substituting L = 4W - 2 into LW = 250, it becomes

W(4W - 2) = 250

4W^2 - 2W- 250 = 0

Using the general formula for quadratic equations,

W = [- b ± √b^2 - 4ac]/2a

a = 4

b = -2

c = - 250

W= [- - 2 ±√-2^2 -4(4 × -250)]/2×4

= (2 ± √4 + 4000)/8

= (2 ±63.277)/8

W= (2 + 63.277)/8 or W = (2 - 63.277)/8

W = 8.16 or W = - 7.91

Since the width cannot be negative, width = 8.16 ft

LW = 250

8.16L = 250

L = 250/8.16 = 30.64 ft

8 0
2 years ago
Read 2 more answers
In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?
dem82 [27]
First we need to calculate the 2 angles that make up Angle B at the top of the triangle.
 Using that angle we can find the length of CD.


 See the attached picture:

7 0
2 years ago
Read 2 more answers
According to a survey by Bankrate, of adults in the United States save nothing for retirement (CNBC website). Suppose that adult
mezya [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 Yes the selection of 15 is a binomial  experiment

b

   P(r =  15) =  3.2768 *10^{-11}

c

  P(r  =  5) =  0.1032

d

P(r \ge 1 ) =  0.9648

Step-by-step explanation:

considering question a

Generally for and experiment to be binomial

The trial must be independent

There must be only two outcomes for each trial

Generally given that that the 15 adults are selected randomly which mean that the trials will be independent and that desired outcome is ''ether the adult save something for retirement or the adult saves nothing for retirement ''

Then we can say that the selection of 15 adult at is a binomial experiment

Considering question b

Generally the probability that all of the adults save nothing for retirement is mathematically represented as

P(r =  n) =  ^nC_r * p^r *  q^{n-r}

Here C stands for combination

r = 15 i.e all the selected adults

      n is the sample size with value  15

From the question p = 0.20

and q is calculated as

q =  1 - p

=> q =  1 - 0.20

=> q =  0.80

So

P(r =  15) =  ^{15}C_{15} * p^{15} *  q^{15-15}

P(r =  15) =  3.2768 *10^{-11}

Considering question c

Generally the probability that exactly five of the selected adults save nothing for retirement is mathematically represented as

P(r  =  5) =  ^{15} C_5 * (0.20)^5 *  (0.80)^{15}

P(r  =  5) =  0.1032

Considering question d

Generally the probability that at least one of the selected adults saves nothing for retirement is mathematically represented as

P(r \ge 1 ) =  1 - P (r = 0 )

P(r \ge 1 ) =  1 - [ ^{15} C _ 0 *  (0.20)^{0} * (0.80 )^{15}]

P(r \ge 1 ) =  1 - 0.0352

P(r \ge 1 ) =  0.9648

4 0
2 years ago
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