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3 years ago

Approximately, where do the numbers in the first file go in the second file's number line?

Mathematics

2 answers:

alisha [4.7K]3 years ago

8 0

Well, a number line is like a least to greatest thing, so if a number is negative it goes on the left half, if it is positive it goes on the right. So, 1,6,7, and 8 go onto the right and 2,3,4,5 go on the left. If a number is negative it goes on the left of zero. If it is positive on the right of zero. Hope this helped!

EastWind [94]3 years ago

7 0

The first one and the 6,7,8th one all go to the right reasoning is for the positives section

now the 2nd 3rd 4th 5th go's to the left reasoning for that is because its a negative
hope i helped ;)

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After you complete your survey of students reported heights at your school, you discover that your sample is biased. Exactly 10%

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What we can say with a good deal of certainty is that our sample is biased towards the higher spectrum and that the real value of the mean for our population is lower than the obtained value of our sample. If this is true, we should expect for the standard deviation to be higher than in the population.

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3 years ago

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Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per minute and a standard deviati

Gennadij [26K]

Answer:

a. the probability that her pulse rate is less than 76 beats per minute is 0.5948

b. If 25 adult females are randomly selected, the probability that they have pulse rates with a mean less than 76 beats per minute is 0.8849

c. D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

Step-by-step explanation:

Given that:

Mean μ =73.0

Standard deviation σ =12.5

a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute.

Let X represent the random variable that is normally distributed with a mean of 73.0 beats per minute and a standard deviation of 12.5 beats per minute.

Then : X $\sim$ N ( μ = 73.0 , σ = 12.5)

The probability that her pulse rate is less than 76 beats per minute can be computed as:

$P(X < 76) = P(\dfrac{X-\mu}{\sigma}< \dfrac{X-\mu}{\sigma})$

$P(X < 76) = P(\dfrac{76-\mu}{\sigma}< \dfrac{76-73}{12.5})$

$P(X < 76) = P(Z< \dfrac{3}{12.5})$

$P(X < 76) = P(Z< 0.24)$

From the standard normal distribution tables,

$P(X < 76) = 0.5948$

Therefore , the probability that her pulse rate is less than 76 beats per minute is 0.5948

b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.

now; we have a sample size n = 25

The probability can now be calculated as follows:

$P(\overline X < 76) = P(\dfrac{\overline X-\mu}{\dfrac{\sigma}{\sqrt{n}}}< \dfrac{ \overline X-\mu}{\dfrac{\sigma}{\sqrt{n}}})$

$P( \overline X < 76) = P(\dfrac{76-\mu}{\dfrac{\sigma}{\sqrt{n}}}< \dfrac{76-73}{\dfrac{12.5}{\sqrt{25}}})$

$P( \overline X < 76) = P(Z< \dfrac{3}{\dfrac{12.5}{5}})$

$P( \overline X < 76) = P(Z< 1.2)$

From the standard normal distribution tables,

$P(\overline X < 76) = 0.8849$

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

In order to determine the probability in part (b); the normal distribution is perfect to be used here even when the sample size does not exceed 30.

Therefore option D is correct.

Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

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3 years ago

A rectangular restaurant kitchen has a perimeter of 36 meters and an area of 80 square meters. what are the dimensions of the ki

konstantin123 [22]

Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,

P = 2L + 2W

Substituting the perimeter,
36 = 2L + 2W
Simplifying,
18 = L + W

The area is calculated by multiplying the length and width as below,
A = 80 = LW

Substituting the expressions,
80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.

Therefore, the dimensions of the rectangle are 8 m by 10 m.

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3 years ago

Solve the equation please!

yKpoI14uk [10]

Answer:

z=-60

Step-by-step explanation:

1/6z=-10

z=-10×6

z=-60

6 0

3 years ago

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A circular garden with a radius of 20 meters is surrounded by a walkway that measures 1 meter in width. -1 m 20 m Find the area

juin [17]

<h3>Answer: 128.74 square meters</h3>

=========================================================

Explanation:

The area of the garden only (ignore the circular pathway) is approximately

A = pi*r^2

A = 3.14*20^2

A = 1256

The area of the garden plus the path is approximately

A = pi*r^2

A = 3.14*21^2

A = 1384.74

Notie how I added on 1 meter to increase the radius to 21

Subtract the two circle areas to get the area of the circular ring.

1384.74 - 1256 = 128.74

The units for all of the areas mentioned are "square meters".

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2 years ago