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sukhopar [10]
2 years ago
10

3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend?

Show your work.​

Mathematics
2 answers:
DIA [1.3K]2 years ago
7 0

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

Norma-Jean [14]2 years ago
6 0
10*25=250
45-10=35
35*13=455
455+250=705
705*$0.55=$387.75
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The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 vote
Likurg_2 [28]

Answer:

Test statistic z = 2.3839.

P-value = 0.0086.

At a signficance level of 0.05, there is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is above 56%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.56\\\\H_a:\pi>0.56

The significance level is 0.05.

The sample has a size n=900.

The sample proportion is p=0.6.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.56*0.44}{900}}\\\\\\ \sigma_p=\sqrt{0.000274}=0.017

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.6-0.56-0.5/900}{0.017}=\dfrac{0.039}{0.017}=2.3839

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>2.3839)=0.0086

As the P-value (0.0086) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

3 0
4 years ago
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4 years ago
The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.
SSSSS [86.1K]

Answer:

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Step-by-step explanation:

width=x cm

length=2x-3 cm

area= 252cm²

l*b= 252 cm²

(2x-3)(x)=252

2x²-3x= 252

this is how I did it

we need to find the nearest square of the number (it should be lesser than the area)

that is 225, whose square root is 15.

since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12

x= 12

we can verify it too,

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252=252

therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm

verify;

21*12= 252

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hence the dimensions are 12 am (width) and 21 cm(length).

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