Answer:
b. 2.01 < σ < 2.81
Step-by-step explanation:
The 90% confidence interval for the population standard deviation is calculated as:
< σ < 
Where n is equal to 51, s is equal to 2.34, 
is 10%, 
is the value for the Chi squared distribution with n-1 degrees of freedom that has a probability of 
in the right tail and 
is the value for the Chi squared distribution with n-1 degrees of freedom that has a probability of 
in the right tail.
So, replacing n by 51, s by 2.34, by 67.50 and by 34.76, we get that the The 90% confidence interval is equal to:
< σ <
2.01 < σ < 2.81
Answer: Cody rented the bike for 7 hours.
Step-by-step explanation:
$65-$16=$49
$49/$7=7 hours
For table # 1:
x= 1 * 3.5 = 3.5
x = 2*3.5 = 7
x = 3*3.5 = 10.5
x = 4* 3.5 = 14
For table #2
x=1 * 3 = 3
x =2 * 3 = 6
x = 3*3 = 9
x = 4* 3 = 12
Hence, the data sets show multiplicative relationships:
For data set 1 is 3.5 times x, and in data set 2 y is 3 times x.
Answer:
4.12 kg
Step-by-step explanation:
Regular cakes:
1 dozen normal sponge cakes: 264 g plain flour
Vegetarian cakes:
1 dozen cakes: 264 g plain flour
4 eggs are replaced by 4 * 30 g of flour = 120 g flour
total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g
Proportion for regular cakes:
12 cakes to 264 g flour = 100 cakes to x grams flour
12/264 = 100/x
12x = 26400
x = 2200
2200 g flour for 100 regular cakes
Proportion for vegetarian cakes:
12 cakes to 384 g flour = 60 cakes to y grams flour
12/384 = 60/y
12y = 384 * 60
12y = 23040
y = 1920
1920 g flour for 60 vegetarian cakes
Total flour needed:
2200 g + 1920 g = 4120 g
4120 g * 1 kg/(1000 g) = 4.12 kg
Answer: 4.12 kg
4 dozen muffins will be 2.5 cups of flour
times 5 is 12.5 cups of flour for 20 dozen muffins
