9(10+x)
To apply the distributive property, we need to multiply the number out of the parenthesis by each number inside.
9*10 = 90
9*x = 9x
9x + 90
Final answer: 9x + 90
2x3x5=30
3 is from the amount of sides in the triangle
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:
10 miles
Step-by-step explanation:
Setting up an equation where the variable 'x' = the number of miles, we can find the total mileage for the passenger's trip:
$6 = $0.75x + $2.25
$6 = the total amount of the trip
$0.75 = the cost for each mile after the initial 5 miles
$2.25 = the flat fee for the first 5 miles
Solve for 'x', subtract $2.25 from both sides: 6 - 2.25 = 0.75x + 2.25 - 2.25 or 3.75 = 0.75x
Divide by 0.75: 3.75/0.75 = 0.75x/0.75 or x = 5 miles
Since the passenger was charged in additional 5 miles, then the total mileage is 10 miles.