What is the value of d to the nearest tenth? 26.5 29.3 33.8 14.3

First option is correct.

Step-by-step explanation:

Since we have given that

PA = 22

PB = 22+40=62

PC = 26

PD = 26+d

As we know the rule of tangents :

PA.PB=PC.PD

Hence, First option is correct.

Option A. d = 26.5

Step-by-step explanation:

If two secants are drawn to a circle from an external point of the circle then the product of one secant (length) and its external part is equal to the product of other secant and its external part.

By this theorem

22 × (22 + 40) = 26 × ( 26 + d )

22 (62) = 26 × (26 + d)

= 26 + d

52.5 = 26 + d

d = 52.5 - 26 = 26.5

Option A. d = 26.5 is the answer.

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;