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3 years ago

What is the absolute value of 0

Mathematics

2 answers:

Ainat [17]3 years ago

5 0

The absolute value of zero is zero

miss Akunina [59]3 years ago

3 0

Zero Is itself. It Is Not A Positive, Or A Negative. The reason why is because zero, is nothing. You can't change nothing to a positive, so the absolute value of zero is zero.

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Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses:

Akimi4 [234]

Answer:

a) Sample mean = 9.99

Sample standard deviation = 0.3348

b) -1.0389

c) 0.1631

Step-by-step explanation:

We are given the following in the question:

9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3

a) sample mean and standard deviation

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{99.9}{10} = 9.99$

Sum of squares of differences = 1.009

$S.D = \sqrt{\dfrac{1.009}{9}} = 0.3348$

b) observed value of the t-statistic

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{9.99 - 10.1}{\frac{0.3348}{\sqrt{10}} } = -1.0389$

c) probability of these statistics (or worse) if the true mean were 10.1 mm

Degree of freedom = n - 1 = 9

Calculating the value from the table

$P(x < 9.99) = 0.1631$

0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm

8 0

3 years ago

Find points and graph the following equation. Is this a linear graph? -5x + 6y = 2

anastassius [24]

Answer:

Yes

Step-by-step explanation:

It is a linear graph.

4 0

3 years ago

Solve the triangle.

velikii [3]

Given 2 sides and 1 included angle, the area of a triangle can be solved using the formula:

Area = ab (sin C)/2

Substituting the given values:

Area = 10 * 23 * (sin 95)/2
Area = 114.56 sq. units

3 0

3 years ago

Homer's annual salary is $74,308. If he works all 52 weeks a year, how much is he paid each week?

ryzh [129]

Answer:

Step-by-step explanation:

You need to divide 74308 divided by 52 which equals 1429.

8 0

3 years ago

Last fall, a middle school took a group of students on a trip to Space Camp, which is 360 miles away. The bus that they took to

mezya [45]

Answer:

The bus travelled 60 miles in 1 hour.

Step-by-step explanation:

To solve this problem we need to calculate the average speed at which the bus travelled. This is given by the distance travelled divided by the time that they took to get there. So we have:

average speed = distance/time

average speed = 360/6

average speed = 60 miles/h

Therefore in 1 hour they travelled 60 miles.

4 0

3 years ago