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katen-ka-za [31]
3 years ago
9

A flower garden has been designed with an L-shaped walkway and viewing area around two sides as shown.

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

  c.  2.4 yards

Step-by-step explanation:

If x is the width of the walkway, then the total landscape area is ...

  (4.5 +x)(7.5 +x) = 68.31

This quadratic equation can be rearranged to standard form and solved in any of the usual ways.

  (x +4.5)(x +7.5) -68.31 = 0

  x² +12x -34.56 = 0

Using the quadratic formula, we have ...

  x = (-12 ±√(12² -4(1)(-34.56)))/2 = -6 ± √70.56 = -6 ± 8.4

The positive solution is x = 2.4.

The width of the walkway is 2.4 yards.

_____

A graphing calculator or spreadsheet solver can also find the solution for you.

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ki77a [65]

Answer:

6 , 3 should be the midpoint

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
An education researcher claims that 58​% of college students work​ year-round. In a random sample of 400 college​ students, 232
Hatshy [7]

Answer:

The proportion of college students who work​ year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58​% of college students work​ year-round.

A random sample of 400 college​ students, 232 say they work​ year-round.

To test the researcher's claim use a one-proportion <em>z</em>-test.

The hypothesis can be defined as follows:

<em>H</em>₀: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> = 0.58.

<em>Hₐ</em>: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> ≠ 0.58. C

Compute the sample proportion as follows:

 \hat p=\frac{232}{400}=0.58

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 p-value=2\times P(z

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work​ year-round is 58%.

6 0
3 years ago
Evaluate each expression if a = 4.1, b = 5.7, and c=0.3.<br> 4. a+b-c <br> 5. 10-(a+b)<br> 6. B- c+2
posledela

Answer:

  • a+b-c = 9.5
  • 10-(a+b) = 0.2
  • b-c+2 = 7.4

Step-by-step explanation:

4)

Given the expression

a+b-c

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

a+b-c = 4.1+5.7-0.3

          =  9.8 - 0.3

          = 9.5

5)

Given the expression

10-(a+b)

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

10-(a+b) = 10 - (4.1+5.7)

              = 10 - 9.8

              = 0.2

6)

Given the expression

b-c+2

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

b-c+2 = 5.7 - 0.3 +2

          = 5.4 + 2

           = 7.4

7 0
3 years ago
What is the slope of the line with the equation y=6
Finger [1]

Answer:

6


Step-by-step explanation:


3 0
3 years ago
Giving brainliest !! *easy*
Zepler [3.9K]

Answer: 49

Step-by-step explanation:

The missing constant term in the perfect square is 49.

x^2 + 14x + 49

We need a squart root of something to make the factor add up equal to 14x. If it's a perfect square, we could divide 14 by 2, 14/2 = 7, and we multiply 7^2, we get 49, which is a perfect square.

4 0
2 years ago
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