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fenix001 [56]
3 years ago
7

Can someone help me pls

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

m\overset{\Large\frown}{EFC} = 237°

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A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. Compute a 95% confidence interval f
kirill [66]

Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Step-by-step explanation:

Let p = True proportion of people rent their residence.

Given: n= 500

People rent their residence = 260

p=\dfrac{260}{500}=0.52

z-value for 95% confidence level = 1.96

A 95% confidence interval for the true proportion will be :

p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}

0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)

A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

6 0
3 years ago
A sample of 500 g of radioactive​ lead-210 decays to​ polonium-210 according to the function A(t)=500e^-0.032t ​, where t is tim
marshall27 [118]

Answer:

Step-by-step explanation:

Using the equation A(t) = 400e-.032t

 

a) replace t with 4 so A(4) = 400e((-.032)(4))

 

The hardest part about this is making sure to use order of operations. Be certain it works like this:

 

A(4) = 400e-.128

A(4) = 400(.8799)

A(4) = 351.9 grams

 

b) A(8) = 400e((-.032)(8)) = 309.7 grams

 

c) A(20) = 400e((-.032)(20)) = 210.9 grams

 

Note here that even after 20 years, not quite half of the original amount is gone. So, we can anticipate that in finding the half life, that our answer should be slightly greater than 20 years.

 

d) 200 = 400e(-.032t)

 

Divide both sides of the equation by 400.

 

.5 = e(-.032t)

 

Change this to logarithmic form.

 

Ln .5 = -.032t

-.6931≈ -.032t

t ≈ 21.7 years

 

Hope this helps!

3 0
3 years ago
What is 0.96 repeating as a fraction and in simplest form??
Bogdan [553]
96(over)100 in a fraction form
6 0
4 years ago
Josephine was asked to make a one-fiftieth scale model of the new water tower for her town. She constructed the model that is sh
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Answer:C

Step-by-step explanation:

A scale of one filthiest would be written as 1:50,

this means for every foot of the model would be 50 feet for the actual tower

so you would multiply the dimensions of the tower by 50 get the actual dimensions.

height: 2.25 ft x 50 = 112.50 feet high = 113 feet ( rounded)

width: 1.25 x 50 = 62.5 feet wide = 63 feet (rounded)

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4 years ago
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The side lengths of 10,10, and 2 are given. Ana says you can make a triangle with these side lengths. Jim says you cannot make a
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B) Ana is correct because 2 + 10 is greater than 10

if it were less than 10 then the last length would not be long enough to reach to the other side


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4 years ago
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