which answers are examples of deductive reasoning?
select each correct answer.
the bowling alley charges $2 to rent shoes. tom is going to rent shoes at the bowling alley. therefore, tom expects to spend $2 to rent shoes at the bowling alley.
jack and frank are friends. jack enjoys swimming, surfing, and baseball. frank likes swimming and baseball. frank must also like surfing.
opposite sides of a rectangle are parallel. side abside ab and side cdside cd are opposite sides of a rectangle. therefore, side abside ab and side cdside cd are parallel.
all four sides of a rhombus are the same length. quadrilateral abcdquadrilateral abcd is a rhombus. therefore, all four sides of quadrilateral abcdquadrilateral abcd are the same length.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

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;