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Irina18 [472]
3 years ago
6

In a random sample of 75 individuals, it was found that 52 of them prefer coffee to tea. What is the margin of error for the tru

e proportion of all individuals who prefer coffee?
Mathematics
1 answer:
Ugo [173]3 years ago
4 0
0.106 is the answer

letters till 20 characters
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Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

3 0
3 years ago
trufant is yoleni's older brother. the sum of their ages is 47. the difference of their ages is 9. how old are trufant and yosle
JulsSmile [24]

Answer:

Trufant is 28 while his younger brother(Yolensi) is 19

5 0
3 years ago
How can you add eight 8's to get the number 1,000? (only use addition)
Fudgin [204]
The answer is 888+88+8+8+8
6 0
3 years ago
What is the value of x?<br><br> This is the last question I don’t get
Stels [109]

Answer:

The answer is 166

Step-by-step explanation:

x+90+24

4 0
3 years ago
Read 2 more answers
How do you figure out basketball stats?​
ozzi

Answer:

the best way to find basketball stats would be to go the the official NBA website

8 0
3 years ago
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