Answer:
His 95% confidence interval is (0.065, 0.155).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
His 95% confidence interval is (0.065, 0.155).
Answer:
Chocolate - 420g
Eggs - 27
Lemon juice - 85ml
Sugar - 140g
Step-by-step explanation:
Given that:
Initial amount of ingredients:
Chocolate - 600g
Eggs - 36
Lemon juice - 100ml
Sugar - 200g
Amount of ingredients used :
Chocolate - 180g
Eggs - 9
Lemon juice - 15ml
Sugar - 60g
Amount of ingredient left :
Initial amount - Amount used :
Chocolate : 600g - 180g = 420g
Eggs : 36 - 9 = 27
Lemon juice : 100ml - 15ml = 85ml
Sugar : 200g - 60g = 140g
Step-by-step explanation:
Put the values of x = 6, y = -7 and z = 0.8 to the expressions:
a) 5x → 5(6) = 30
b) 3y → 3(-7) = -21
c) 10z → 10(0.8) = 8
Answer:
4.66
Step-by-step explanation:
We are given the following data
26, 26, 21, 22, 20, 25, 35
Step 1
We find the Mean
Mean = 26+ 26+ 21+ 22+20+25+ 35/7
= 175/7
= 25
Step 2
We find the Standard Deviation
The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager
= √(x - Mean)²/n
= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7
= √152/7
= √21.7142857
= 4.65985898
Approximately = 4.66
