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Komok [63]
3 years ago
12

An employee is asked to calculate the chi-square value, for company data set for which observed frequency is 9.5 and expected fr

equency is 19. What will be the Chi-Square value
Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

X² =4.75

Step-by-step explanation:

The formula for calculating the chi square value is expressed as

X² = [ (O - E)²/ E ].

O is the observed frequency

E is the expected frequency

Given

O = 9.5

E = 19

Substitute into the formula:

X² = (9.5-19)²/19

X² = 9.5²/19

X² = 90.25/19

X² = 4.75

Hence the chi square value will be 4.75

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What is cos(45°)?
Andrej [43]

Answer:

\rm \dfrac{\sqrt2}{2}

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

\rm\implies cos\theta =\dfrac{base}{hypotenuse}

In the given triangle ,

  • Value of base = 1
  • Value of hypotenuse = √2

On substituting the respective values ,

\rm\implies cos45^\circ =\dfrac{1}{\sqrt2}

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)}

Simplify ,

\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}

6 0
3 years ago
Can 16/120 be simplified? If so, what is the simplest form of it.
tia_tia [17]

Answer:

2/15

Step-by-step explanation:

5 0
3 years ago
Evaluate c-2 when c=7
Luba_88 [7]
5 is the answer. Hope this helps.
8 0
3 years ago
Read 2 more answers
The numbers 5, 6, 7, and 8 are randomly arranged to create a four-digit number. What is the probability that the number formed i
myrzilka [38]

Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • The number of possible arrangements of n elements is given by A_n = n!

In this problem, there are 4 elements, hence n = 4, T = A_4 = 4! = 24.

A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.

  • Hence, the possible options for the last 2 digits are: 56, 68, 76.
  • For each of them, there are A_2 = 2! = 2 options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.

The other 18 numbers formed are not divisible by 4, hence:

p = \frac{18}{24} = 0.75

0.75 = 75% probability that the number formed is not divisible by 4.

For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717

5 0
2 years ago
An art class is planning to paint a rectangular mural with an area of 60 square feet. It has to be at least 4 feet high but no m
Strike441 [17]

Hello!

There are three possible lengths.

We need to keep in mind that the total area cant exceed 60 ft^{2}, so, knowing that, we just need to find numbers that can be multiplied giving as result 60.

First combination:

4ft(height)X15ft(width)=60 ft^{2}

Second combination:

5ft(height)X12ft(width)=60 ft^{2}

Third combination:

6ft(height)X10ft(width)=60 ft^{2}

Have a nice day!

7 0
3 years ago
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