Answer:
The observed value of the chi-square statistic is 34.71
Step-by-step explanation:
Given the data in the question';
Calculate the observed value of the chi-square statistic
The chi-square statistic will be;
∑
[ ( O - E)² / E ]
here O is observed frequency of th class
E is expected frequency of th class
= 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly
so
∈ = n × probability of not guessing correctly = 168 × 2/3 = 112
∈1 = n × probability of guessing correctly 168 × 1/3 = 56
so
∑[ ( O - E)² / E ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]
= 1296/56 + 1296/112
= 23.14 + 11.57
= 34.71
Therefore, the observed value of the chi-square statistic is 34.71
Answer: Fraction form - 333/2
Decimal form - 166.5
Step-by-step explanation:
Answer:7 2/9
Step-by-step explanation:Add the whole numbers together and if the denominator is the same u can just add the numerator
Answer:
A, C, D and K
Step-by-step explanation:
First, plot the solution set to the system of two inequalities.
The inequality 
determines solid line and bottom shaded region under this line.
The inequality 
determines dotted line and top shaded region under this line.
The intersection of these two regions is the solution set to the system of two inequalities.
Points A, C, D and K belong to this region.
step-by-step explanation:
every time we see "a number" or "the same number," we can add a variable (we'll use x here). rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of x and 9.
next, we can work backwards to write an inequality. we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.
for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9. so now the inequality should look like this: 2x - 8 > x + 9.
now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.
then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15
hope this helps! <em>:)</em>
