<u>Sampe : Total</u>
25 : 750
(÷25) (÷25)
1 : 30
( x7) ( x7)
7 : 210
Answer: (a) There is a total of 210 orange cakes made on Monday.
The sample is 5 when corrected to the nearest whole number.
⇒Smallest possible number is 4.5
Total orange cakes baked on Tuesday = 4.5 x 30 = 135
P(Orange Cake) = 135/750 = 9/50
Answer: (b) The probability is 9/50
The number 8 would be its simplest form.<span />
Well if you make 950 dollars every two weeks, in a month you will have 1,900. Then take 12% of 1,900, and you will have 228 dollars to spend a month on groceries.
Answer:
Divide both sides by 9.
Step-by-step explanation:
To find the second step of the equation, we actually have to solve parts of the equation until we get to step 2.
Step 1: Add 23 to both sides.
Step 2: Divide both sides by 9.
Therefore, the second step is divide both sides by 9.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.
Step-by-step explanation:
Confidence interval is given by mean +/- margin of error (E)
Eggs from small nest
Sample size (n1) = 60
Mean = 37.2
Sample variance = 24.7
Eggs from large nest
Sample size (n2) = 159
Mean = 35.6
Sample variance = 39
Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11
Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93
Difference in mean = 37.2 - 35.6 = 1.6
Degree of freedom = n1+n2 - 2 = 60+159-2 = 217
Confidence level = 95%
Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132
E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79
Lower limit = mean - E = 1.6 - 0.79 = 0.81
Upper limit = mean + E = 1.6 + 0.79 = 2.39
95% confidence interval for the difference in average mass is (0.81, 2.39)
