Quincy is trying to estimate the height of a tree in his backyard. he measures the tree’s shadow as 12 ft. he stands near the tree and measures his own shadow as 3 ft. quincy knows that he is about 5 ft tall. he estimates the height of the tree by following these steps: step 1: set up a proportion x 12 = 3 5 step 2: cross multiply 5x = 12 × 3 step 3: simplify 5x = 36 step 4: solve for x x = 7.2 feet in which step, if any, did quincy make a mistake?

In step 1 did Quincy make a mistake

Step-by-step explanation:

Proportions states that two ratios or fractions are equal.

As per the statement:

Shadow of the tree = 12 ft

Shadow of Quincy = 3 ft

Height of the Quincy = 5 ft tall

let x be the height of the tree.

By definition of proportions;

then;

By cross multiply we have;

Divide both sides by 3 we have;

x = 20 ft

Since, he made mistake in step 1.

The following correct steps are:

Step 1:

Set up a proportion

Step 2:

Cross multiply

Step 3:

Simplify:

Step 4:

Solve for x:

x = 20 ft

answer: 7270

step-by-step explanation:

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;