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Elan Coil [88]
3 years ago
14

The length and width of a rectangular patio are, (x + 8) feet and (x + 6) feet,

Mathematics
2 answers:
Leni [432]3 years ago
6 0

Answer:

Area = length x width

160 = (x+8)(x+6)

160 = x2 + 14x + 48

x2 + 14x - 112 = 0  and solve with the quadratic formula and get x=-7+sqrt(161)

Step-by-step explanation:

Igoryamba3 years ago
3 0

Answer: x = √73

Step-by-step explanation: Ration = (x+8) : (x+6)

Let x be the length and breadth

Length = (x+8)x

breadth = (x+6)x

Area = 160 feet sq.

= (x+8)x = x² + 8x = length

(x+6)x = x²+6x = breadth

→x²+8x+x²+6x = 160

2x²+14 = 160

2x² = 146

x² = 73

x= √73

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Lady_Fox [76]

Answer:

There is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same​ frequency.

Step-by-step explanation:

In this case we need to test whether there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same​ frequency.

A Chi-square test for goodness of fit will be used in this case.

The hypothesis can be defined as:

<em>H₀</em>: The observed frequencies are same as the expected frequencies.

<em>Hₐ</em>: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

 \chi^{2}=\sum{\frac{(O-E)^{2}}{E}}

The values are computed in the table.

The test statistic value is \chi^{2}=128.12.

The degrees of freedom of the test is:

n - 1 = 12 - 1 = 11

Compute the <em>p</em>-value of the test as follows:

p-value < 0.00001

*Use a Chi-square table.

p-value < 0.00001 < α = 0.05.

So, the null hypothesis will be rejected at any significance level.

Thus, there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same​ frequency.

6 0
3 years ago
00:00
vlada-n [284]

Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)

Step-by-step explanation:

  • Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm

Volume = πr²h = 3.14 × 4² × 9.5

             = 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³

3 0
3 years ago
Hi i'm stup*d at math and im not sure :(
pashok25 [27]

Answer:

I think standard form would be best because it is simplest.

Step-by-step explanation:

hope this helps

6 0
2 years ago
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Dmitrij [34]
Answer: -21.125 or -21 1/8 degrees

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-169÷8=-21.125
4 0
3 years ago
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Answer:

Question 4: 20 + 6 + 6 + 12 + 16 = 60 yd^{2}

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Step-by-step explanation:

Hope this helps!

6 0
2 years ago
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