Answer:
chisquare = 31.667
degree of freedom = 2
Step-by-step explanation:
Formula for chisquare test = (O-E)²/E
total number observations= 60 + 25 + 15 = 100
Estimated E,
80% x 100 = 80
15%x100 = 15
5% x 100 = 5
chisquare =
= 5 + 6.67 + 20
= 31.667
from the calculation above the value of the chisquare statistic = 31.67
the degree of freedom is the number of samples in the test n - 1
= 3-1
= 2
I have solve this question also in a tabular form to aid understanding in the file i uploaded.
thank you and good luck!
-3xa=-3a
-3x6=-18
so it is (i think) -3a+-18
The greatest number of people that they may invite and still stay within their budget is 130 people.
The standard form of a linear equation is given by:
y = mx + b
Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).
Let y represent the budget for x number of people.
Since the reception hall charges a $80 cleanup fee plus $34 per person, hence this can be represented by the function:
y = 34x + 80
They have budgeted $4,500 for their reception. Therefore the greatest number of people can be found from:
4500 = 34x + 80
34x = 4420
x = 130 people
Therefore the greatest number of people that they may invite and still stay within their budget is 130 people.
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Answer:
1/6
Step-by-step explanation:
number cube 6 faces less than 2, only 2 possibilities, leaving us with a fraction of 2/6=1/3
tails is a 50 percent chance or 1/2
3/6 time 2/6
equals:
1/6
the probability of rolling a number less than 2 and flipping tails on a coin is 1/6
find probability of event a: number cube and multiply it by probability of event b: coin
Answer:
- single term
- sum of 4 terms, some of which can be expanded further
Step-by-step explanation:
1. 3x
This is a single term with one variable of the first degree.
__
2. 4x + 9(2x + 1) x² + 6(-2x + 1) - 3(7 + x?)
This is a sum of 4 terms, some of which can be expanded:
- 4x
- 9(2x+1)x^2 ⇒ 18x^3 +9x^2
- 6(-2x +1) ⇒ -12x +6
- -3(7+x?) ⇒ -3x? -21
The expression can be simplified by combining like terms.
