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patriot [66]
3 years ago
8

A new youth activity center is being built in oak valley. the perimeter of the rectangular playing field is 332 yards. the lengt

h of the field is 5 yards less than double the width. what are the dimensions of the playing​ field?
Mathematics
2 answers:
allsm [11]3 years ago
8 0

In this question, it is given that

A new youth activity center is being built in oak valley. the perimeter of the rectangular playing field is 332 yards. the length of the field is 5 yards less than double the width.

Let the width is x yards . And length is 5 yards less than double the width, so length is (2x-5) yards  .

Perimeter is the sum of all sides, that is

x+2x-5+x+2x-5 = 332
\\
6x-10 = 332
\\  6x = 342
\\
x = 57 yards

So the width is 57 yards and length is

2x-5 = 2*57-5 = 109 yards

DaniilM [7]3 years ago
6 0

<em>Answer:</em> The width is 56 yards and the length is 110 yards.

<em>Step-by-step explanation: </em>I don't know how to get the answer but when I got it wrong, it gave me the correct answer and its 56 yards and 110 yards.

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Which rule explains why these scalene triangles are similar?
miskamm [114]

Answer:

D. None of the above; the triangles cannot be proven similar

Step-by-step explanation:

There are no signs that shows the triangles are similar or congruent for given information. So the answer is last option :

D. None of the above; the triangles cannot be proven similar

6 0
2 years ago
Assortative mating is a nonrandom mating pattern where individuals with similar genotypes and/or phenotypes mate with one anothe
scZoUnD [109]

Answer:

a) P(male=blue or female=blue) = 0.71

b) P(female=blue | male=blue) = 0.68

c) P(female=blue | male=brown) = 0.35

d) P(female=blue | male=green) = 0.31

e) We can conclude that the eye colors of male respondents and their partners are not independent.

Step-by-step explanation:

We are given following information about eye colors of 204 Scandinavian men and their female partners.

              Blue    Brown     Green    Total

Blue        78         23            13          114

Brown     19         23            12          54

Green     11           9             16          36

Total      108       55            41          204

a) What is the probability that a randomly chosen male respondent or his partner has blue eyes?

Using the addition rule of probability,

∵ P(A or B) = P(A) + P(B) - P(A and B)

For the given case,

P(male=blue or female=blue) = P(male=blue) + P(female=blue) - P(male=blue and female=blue)

P(male=blue or female=blue) = 114/204 + 108/204 − 78/204

P(male=blue or female=blue) = 0.71

b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes?

As per the rule of conditional probability,

P(female=blue | male=blue) = 78/114

P(female=blue | male=blue) = 0.68

c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes?

As per the rule of conditional probability,

P(female=blue | male=brown) = 19/54

P(female=blue | male=brown) = 0.35

d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes?

As per the rule of conditional probability,

P(female=blue | male=green) = 11/36

P(female=blue | male=green) = 0.31

e) Does it appear that the eye colors of male respondents and their partners are independent? Explain

If the following relation holds true then we can conclude that the eye colors of male respondents and their partners are independent.

∵ P(B | A) = P(B)

P(female=blue | male=brown) = P(female=blue)

or alternatively, you can also test

P(female=blue | male=green) = P(female=blue)

P(female=blue | male=blue) = P(female=blue)

But

P(female=blue | male=brown) ≠ P(female=blue)

19/54 ≠ 108/204

0.35 ≠ 0.53

Therefore, we can conclude that the eye colors of male respondents and their partners are not independent.

7 0
2 years ago
Can 8x be added to 56? Why or why not?<br> Use rich text?
Vladimir [108]

Answer:

see below

Step-by-step explanation:

8x and 56 are not like terms

x is a variable and 56 is a constant

8x can be added to 56 but they cannot be combined together into one term

8x+56 cannot be combined because they are not like terms

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Answer:

a) Domain: x≥0

b) Range:  y≤-2

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e) f(4)= -4

Step-by-step explanation:

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5 0
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Tpy6a [65]
The range is 25
That’s the answer
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