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Aliun [14]
3 years ago
12

n a​ poll, 51​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted

of​ murder?" The margin of error in the poll was 3​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed? The minimum number of surveyed people was nothing. ​(Ro
Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer: 1067

Step-by-step explanation:

Given : The proportion of  people polled answered yes to the question = P= 0.51

Margin of error :E= 0.03

Confidence interval = 95%

Z-score for 95% confidence interval (from z-value table )z*=1.960

Formula to find the sample size is given  by :-

p(1-p)(\dfrac{z*}{E})^2

Substitute the value of p and E  then, we have

0.51(1-0.51)(\dfrac{1.960}{0.03})^2\\\\=0.2499(65.3333333333)^2\\\\=1066.68426667\approx1067

Hence, The minimum number of surveyed people was <u>1067</u>.

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2 2/3 of what number is 6 1/7
borishaifa [10]

2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}

Solution:

Given 2\frac{2}{3} of what number is 6\frac{1}{7}.

Let us first convert the mixed fraction into improper fraction.

$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}

$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}

Now, let us take the unknown number be x.

$2\frac{2}{3}\times x=6\frac{1}{7}

$\frac{8}{3}\times x=\frac{43}{7}

Do the cross multiplication.

$ x=\frac{43}{7}\times\frac{3}{8}

$ x=\frac{43\times3}{7\times8}

$ x=\frac{129}{56}

Now, again change the improper fraction into mixed fraction.

$ x=2\frac{17}{56}

Hence 2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}.

6 0
4 years ago
Whats the value of T in -1+14+-3t+10
Ira Lisetskai [31]

Answer:

how can I find the value of t when it is not equated

Step-by-step explanation:

still on that

6 0
3 years ago
What is 5C3?<br> A. 35<br> B. 10<br> C. 14<br> D. 28
galben [10]

Answer: B. 10

-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.

Step-by-step explanation: Hope this help :D

5 0
3 years ago
Read 2 more answers
Which ordered pair is a solution of the equation? −7x+3y=2
lana66690 [7]
Answer:

(-2/7, 2/3)

step-by-step explanation:
-7x + 3y = 2
x = 0
-7(0) + 3y = 2
3y = 2
/3 /3
y = 2/3
y = 0
-7x + 3(0) = 2
-7x = 2
/-7 /-7
x = -2/7
(-2/7, 2/3)
6 0
3 years ago
Read 2 more answers
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
Nata [24]

Answer:

The equations represent the situation is y=2x+6 and y=5+3x.

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.

<em>y</em>, is equal to twice the sum of a smaller number and 3.    

This information can be written as: y=2(x+3)

Which can be further solve as:

y=2x+6

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: y=5+3x

Thus, the equations represent the situation is y=2x+6 and y=5+3x.

Which can be further solve as:

2x+6=5+3x

x=1

Now, substitute the value of <em>x</em> in y=5+3x.

y=5+3

y=8

3 0
3 years ago
Read 2 more answers
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