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zmey [24]
3 years ago
9

Which statement is true? A matrix separates rational and irrational numbers. A matrix separates positive and negative numbers. A

matrix orders numbers from greatest to least. A matrix is a rectangular arrangement of numbers.
Mathematics
1 answer:
Jet001 [13]3 years ago
5 0
I'm pretty sure the answer is "A matrix separates rational and irrational numbers." (Note: I'm not that great with memorizing definitions, but I'm pretty sure.) Hope this helps :)
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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin
riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

p=\frac{x}{n}

p=\frac{80}{100}

p=0.8

Now we define hypothesis,

Null hypothesis H_0 : candidate A is significantly greater than 75%.

Alternative hypothesis H_1 : candidate A is not significantly greater than 75%.

Level of significance \alpha=0.05

Applying test statistic Z -proportion,

Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}

Where, \widehat{p}=80\%=0.80 and p=75%=0.75

Substitute the values,

Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}

Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}

Z=\frac{0.05}{0.0433}

Z=1.1547

The p-value is

P(Z>1.1547)=1-P(Z

P(Z>1.1547)=1-0.8789

P(Z>1.1547)=0.1241

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0
3 years ago
How many batches of trail mix can Eric make with 16 cups of peanuts, 15 cups of raisins, and 8 cups of walnuts?​
vazorg [7]

Answer:27

Step-by-step explanation:

Are you in middle school

5 0
3 years ago
Angle ABC is taken by a dilation with the center P and scale factor 3 to angle A'B'C'
xxTIMURxx [149]

Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are  congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

8 0
3 years ago
The table shows the amount of applesauce made from one apple from each size Patrice has 17 medium apples and 23 large apples was
alexgriva [62]

Hope I helped! Have a wonderful day!

5 0
3 years ago
If all possible samples of size n are drawn from an infinite population with a mean of 20 and a standard deviation of 5, then th
Ugo [173]

Answer:

25

Step-by-step explanation:

We know that the standard error of the sampling distribution of sample means is

Standard error=standard deviation/√n

√n=standard deviation/Standard error

n=(standard deviation/Standard error)²

We are given that standard deviation=5 and standard error=1. So,

n=(5/1)²

n=5²

n=25.

Thus, the required sample size is 25.

3 0
4 years ago
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