Provide the missing statement and reasons for the following proof: B
A
A
C D
=
Given: MZA+mZB=mZD
Prove: m2C + m2A +mZB = 180°
-
Reason
Statement
S1. MZA+MzB = MZD
R1. Given
S2. C and 2D form a Linear Pair
R2. Definition of Linear Pair
S3. ZC and 2D are supplementary
R3
S4.
R4. Definition of supplementary
S5. MLC + m2A + 2B
180°
R5.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6

yes.. it's proven to be 36.