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sveta [45]
2 years ago
5

Heres a set of data 2.4, 1.6, 3.2, 0.3, 1.5 each peice of data is increases by 10, what is the mean? each new peice of data is d

oubles, whats the new mean?
Mathematics
1 answer:
Leviafan [203]2 years ago
4 0

Step-by-step explanation:

Mean is the ratio of the sum of the sample data to the total sample size.

1) Given the set of data 2.4, 1.6, 3.2, 0.3, 1.5, if each piece of data is increases by 10, the new data's will be;

(10+2.4), (10+1.6), (10+3.2), (10+0.3), (10+1.5)

sum of the new data's = 59

Sample size = 5

Mean = 59/5

Mean = 11.8

Hence if the price of data is increases by 10, its new mean will be 11.8

2) If each new piece of data is doubles, the new set of data will be;

2(2.4), 2(1.6), 2(3.2), 2(0.3), 2(1.5)

= 4.8, 3.2, 6.4, 0.6, 3.0

Sum of new data = 4.8+3.2+6.4+0.6+3.0

Sum of new data = 18

sample size = 5

Mean = 18/5

Mean = 3.6

Hence the new mean if the data were doubles is 3.6

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Answer:

ABC - AAS

DEF - not enough information

GHI - not enough information

JKL - SAS

Step-by-step explanation:

SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS

2. In triangles MNO and DEF, there are two congruent sides  - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles  - there is not enough information

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS

5 0
3 years ago
A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es
Mrrafil [7]

Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

\sigma = 3.10\text{ milligrams}

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

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3 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
PLEASE ANSWER FAST!!!! On Friday, Susan bought a dress for 35% off the regular price of $70.00. The next day, the dress that Sus
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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SIZIF [17.4K]

Answer:

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Step-by-step explanation:

3/4 divided by 1/8

= 3/4 / 1/8        

Invert the 1/8 and multiply:

= 3/4 * 8/1

= 24/4

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7 0
3 years ago
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