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adell [148]
2 years ago
11

A mom walks into her child's room and finds clothes all over the floor. 20% of the

Mathematics
1 answer:
MissTica2 years ago
4 0

Answer:

1 clean cloth

Step-by-step explanation:

Assuming that the problem is asking the number of clean clothes she picks up when she picked 5 articles.

here we are given that , there are 20% clothes in the room. Hence out of 5 clothes she picks up, the total number of clean clothes will be 20% of 5

20% of 5 will be 0.20 x 5 = 1

Hence , there will be only  clothe that might be clean among the clothes she picks .

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Wouldnt it be four? id its 1/4

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A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a c
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Answer:

The correct option is;

(B) Yes, because sampling distributions of population proportions are modeled with a normal model.

Step-by-step explanation:

Here we have the condition for normality being that where we have a population with a given mean and standard deviation, while a sufficiently large sample is drawn from the population while being replaced, the distribution of the sample mean p will be distributed normally according to central limit theorem.

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ΔABC underwent a sequence of rigid transformations to give ΔA′B′C′. Which transformations might have taken place?
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Answer: The correct option is second, a rotation 90^{\circ} clockwise about the origin followed by a reflection across the x-axis.

Explanation:

From the given figure it is noticed that the vertices of ΔABC are A(-6,4), B(-4,6), C(-2,2) and vertices of ΔA'B'C' are A'(4,-6), B(6,-4), C(2,-2).

It means if the point is P(x,y) then after transformation it will be P'(y,x).

If a point P(x,y) reflection across the y-axis followed by a reflection across the x-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.

If a shape is rotated 90^{\circ} clockwise about the origin then the  point P(x,y) will be P'(y,-x) and after that reflect across the x-axis, so the point after transformation will be P'(y,x), therefore it is the correct option.

If a shape is rotated 270^{\circ} clockwise about the origin then the  point P(x,y) will be P'(-y,x) and after that reflect across the x-axis, so the point after transformation will be P'(-y,-x), therefore it is not the correct option.

If a point P(x,y) reflection across the x-axis followed by a reflection across the y-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.

Hence, the correct option is second, a rotation 90^{\circ} clockwise about the origin followed by a reflection across the x-axis.

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2 years ago
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Consider the conjecture that the sum of a rational number and an irrational number is ALWAYS irrational. To try to prove this co
miss Akunina [59]

Answer:

B) irrational. Since an irrational number cannot equal a rational number.  

The premise that c is rational is false

Step-by-step explanation:

The assumption that c is rational means that the difference c-a must be rational. That difference is b, so b=c-a would mean that b must be rational. But b is defined to be irrational. Since an irrational number cannot equal a rational number, a contradiction arises and the assumption that c is rational must be false. Therefore the sum (c) must be irrational. (B)

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Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc
Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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Now, find the margin of error M as such

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0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

We need a sample size of at least 719

6 0
2 years ago
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