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Mumz [18]
2 years ago
7

Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clic

ks Garden?
Mathematics
1 answer:
pashok25 [27]2 years ago
4 0

Answer

Mrs. Click's Garden is 6/5 or 1 1/5 square meters.

Explanation

Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.

To multiply fractions, you multiply the numerator by the denominator.

4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.

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Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh
kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon  residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = \sqrt{n*p_1*q_1}  = \sqrt{n*p_1*(1-p_1)} = \sqrt{11545*0.08*(1-0.08)} = 29.15

σ₂ = \sqrt{n*p_2*q_2}  = \sqrt{n*p_2*(1-p_2)}= \sqrt{4691*0.088*(1-0.088)} = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have  

z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }

The test statistics can be computed by

     

t₀ = \sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} } =      1104.83

c from tables is   P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

5 0
3 years ago
jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 27
kherson [118]

Answer:

16.875 spiders

Step-by-step explanation:

Given

Let

B = Beetles

C = Birds

S = Spiders

So, we have:

B = C = S --- equal amounts

6B + 2C + 8S = 270 --- the legs

Required

The number of spider

Since she has an equal amount of B, C and S;

The expression can be written as:

6B + 2C + 8S = 270

6S + 2S + 8S = 270

16S = 270

Solve for S

S = \frac{270}{16}

S = 16.875

<em>The result of the solution does not represent real life situation because it it is not possible to have a fraction number of spider</em>

5 0
3 years ago
Write an equation of the circle given its center and radius
Genrish500 [490]

Answer:

y =x² + y² + 2y - 35

Step-by-step explanation:

The equation of a circle is given by the formula;

(x-a)²+(x-b)² = r²

Where;  (a, b) is the center of the circle and r is the radius

Therefore;

(x-0)² +(y+1) = 6²

x²+ y² +2y + 1= 36

x² + y² + 2y - 35 = 0

Therefore; The equation of the circle is y = x² + y² + 2y - 35

5 0
3 years ago
Read 2 more answers
7x+5+ 54 how you do this
KonstantinChe [14]

Answer:

7x+59

Step-by-step explanation:

Add 5 and 54

3 0
3 years ago
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In the story of factory <br> fire marshall william beer stunned new yorker by declaring
Artist 52 [7]
He declared that he could show the people "150 loft buildings far worse than" the Asch Building.
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3 years ago
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