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s2008m [1.1K]
3 years ago
13

The area of a 20 cm wide rectangle is 500 cm cm2 what is the length?

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0

Given = b = 20cm, A = 500cm2 l=?

A = l×b,

500= l×20

l= 25

<em>THE LENGTH IS 25 CM</em>

il63 [147K]3 years ago
7 0

Answer:

25 cm

Step-by-step explanation:

<em>area of a rectangle = length × breadth</em>

500 = length × 20

500/ 20 = length

25 = length

therfore, the length of the rectangle is 25 cm

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Families USA, a monthly magazine that discusses issues related to health and health costs, surveyed 20 of its subscribers. It fo
Harman [31]

Answer:

(a) The 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b) The sample size required is 107.

Step-by-step explanation:

(a)

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

Given:

\bar x=\$10,979\\s=\$1000\\n=20

Compute the critical value of <em>t</em> for 90% confidence level as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (20-1)}=t_{0.05, 19}=1.729

*Use a <em>t-</em>table.

Compute the 90% confidence interval for population mean as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =10979\pm 1.729\times \frac{1000}{\sqrt{20}}\\=10979\pm4.47\\ =(10974.53, 10983.47)

Thus, the 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b)

The margin of error is provided as:

MOE = $250

The confidence level is, 99%.

The critical value of <em>z</em> for 99% confidence level is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58

Compute the sample size as follows:

MOE= z_{\alpha/2}\times \frac{s}{\sqrt{n}}

      n=[\frac{z_{\alpha/2}\times s}{MOE} ]^{2}

         =[\frac{2.58\times 1000}{250}]^{2}

         =106.5024\\\approx107

Thus, the sample size required is 107.

4 0
3 years ago
The ordered pairs model an exponential function, where j is the function name and e is the input variable.
yKpoI14uk [10]

Answer:

2(5^e)

Step-by-step explanation:

the answer is 2(5^e)

because  

2(5^1)= 10

2(5^2)=50

2(5^3)=250

2(5^4)=1250

and e is the input variable

6 0
3 years ago
BRAINLIEST, URGENT
stira [4]

Answer:

12.5 m

Step-by-step explanation:

1st drop 50 m

2nd drop 50/2 = 25 m

3rd drop 25/2 = 12.5 m

4 0
2 years ago
What is the value of 6 divided by 3/8
V125BC [204]
16 because 3 divided by 8 is 0.375 and 6 divided by 0.375 is 16.
3 0
3 years ago
I need to find how many solutions does the system have. ​
REY [17]
From what I got there is one real solution :)

Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)

Also they are both straight line graphs so they will either have one or no solutions

Hope this helped :)
4 0
3 years ago
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