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3 years ago

A rectangular greenhouse has an area of 6,480 square meters. Its length is 120 meters.

Mathematics

2 answers:

jolli1 [7]3 years ago

5 0

The greenhouse can hold 27 flower beds

Hope this is what u are asking

Rashid [163]3 years ago

4 0

The width is 54 meters and it can hold 27 flower beds.

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Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

3 years ago

Let sin(2x) = cos(x), where 0° ≤ x < 180°. What are the possible values for x?

lions [1.4K]

Answer:

The possible values of x are 90°, 30° and 150°.

Step-by-step explanation:

Given that,

sin(2x) = cos(x) where 0° ≤ x < 180°

We know that, sin(2x) = 2 sinx cosx

2 sinx cosx = cosx

Subtract cosx on both sides

2 sinx cosx - cosx = 0

cosx (2sinx-1)=0

It means, cosx = 0 and (2sin x -1 ) = 0

cos x = cos0 and sinx = 1/2

x = 90° and x = 30°, 150°

Hence, the possible values of x are 90°, 30° and 150°.

6 0

3 years ago

Read 2 more answers

Let f(x) = 4x + 3

docker41 [41]

Answer: f(x) = 4x + 3

g(x) = -2x + 5

(f · g)(5) = (4(5) + 3)(-2(5) + 5)

(f · g)(5) = (20 + 3)(-10 + 5)

(f · g)(5) = (23)(-5)

(f · g)(5) = -115

7 0

3 years ago

How do i turn reapeating decimals into fractions?

inysia [295]

Easy example that shows $0.999\ldots=1$ :

Let $x=0.999\ldots=0.\overline9$ .

Then $10x=9.999\ldots=9.\overline9$ .

So $10x-x=9.\overline9-0.\overline9$ , or $9x=9$ , and so $x=1$ .

The basic idea is to find the period of the repeating decimal, move the $n$ digits belonging to one period over to the left of the decimal point by multiplying by $10^n$ , then subtract the original repeating decimal from this new number, and finally divide by $10^n-1$ .

A slightly more complicated example:

Let $x=0.142857142857142857\ldots=0.\overline{142857}$ .

Then $10^6x=142857.\overline{142857}$ .

Then $10^6x-x=142857.\overline{142857}-0.\overline{142857}$ , or

$999999x=142857\implies x=\dfrac{142857}{999999}=\dfrac17$

6 0

3 years ago

Eduardo says that an increase from 10 to 40 is 300% therefore a decrease from 40 to 10 must be a 300% decrease do you agree with

attashe74 [19]

Answer:

Eduardo's second statement is wrong.

Step-by-step explanation:

Eduardo says that an increase from 10 to 40 is 300% which is true. Because there is an increase by (40 - 10) = 30 and the percent of increase is calculated with respect to 10.

So, % of increase = $\frac{30 \times 100}{10} = 300$ %.

But when we consider a decrease from 40 to 10, then the decrease is by (40 - 10) = 30, but the percent of decrease will be calculated with respect to 40.

Therefore, the % decrease = $\frac{30 \times 100}{40} = 75$ %.

Hence, Eduardo's second statement is wrong. (Answer)

4 0

3 years ago