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VashaNatasha [74]
3 years ago
10

An experiment has 12 possible outcomes, all equally likely. An event can occur in 6 ways. Find the probability that the event oc

curs.
The probability that the event occurs is (Type an integer or a decimal. Do not round.)

This is on mymathlab please help
Mathematics
2 answers:
Nataliya [291]3 years ago
8 0

Probability of an event= number of ways an event can occur / total number of possible outcomes.

Probability = 6/12 = 0.5

Mila [183]3 years ago
5 0

Answer:

P(event occuring) = 0.5

Steps:

P(event occuring) = 6/12

P(event occuring) = 1/2

P(event occuring) = 0.5

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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
6.702 rounded to 3 dp
Semenov [28]

Answer:

.006702

Step-by-step explanation:

8 0
2 years ago
The product of 9 and m is 45
Jlenok [28]
9m = 45
m = 45/9 = 5.
4 0
3 years ago
which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x
Natalka [10]

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

\csc(x) = \dfrac{1}{\sin(x)}

which is undefined at

\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}

\sec(x) = \dfrac{1}{\cos(x)}

which is undefined at

\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}

\tan(x) = \dfrac{\sin(x)}{\cos(x)}

which is undefined at

\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}

\cot(x) = \dfrac{\cos(x)}{\sin(x)}

which is undefined at

\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}

4 0
3 years ago
Calculate the perimeter of this shape.
Sloan [31]

Step-by-step explanation:

Hello there!

Just double the given sides!

(18*2)+(12*2)=60 cm.

There you are!

:)

4 0
3 years ago
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