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QveST [7]
3 years ago
13

What is a fraction for 6:100

Mathematics
2 answers:
vova2212 [387]3 years ago
8 0

Answer:

3/50

Step-by-step explanation:

the fraction 6/100 can simplify to 3/50

Mariulka [41]3 years ago
4 0

Answer:

it's 3/50

Step-by-step explanation:

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A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w
mart [117]

Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47​% of the popular vote and and candidate B would receive 44​% of the popular vote.

The margin of error was reported to be 3​%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the  results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

5 0
3 years ago
There are 12 students running for three student coun-
anyanavicka [17]
Must be

(c) 12.11.10

Or

(d) 12
8 0
3 years ago
There are 27 pupils. There are twice as many boys than girls. how many boys and girls are there
Anna71 [15]
Let x  =  the numbers of girls
thus
the numbers of boys  = 2x 
x + 2x = 27
3x = 27
x = 9
2x = 2 . 9 =18
girls  =  9  &  boys  = 18
3 0
3 years ago
Read 2 more answers
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
2 years ago
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