Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3 the average weight of a bumblebee is about 0.00025 pounds. the averag…

Question

3
the average weight of a bumblebee is about 0.00025 pounds. the average weight of a blue whale is about 330,000 pounds.
statement t/f?
the weight of a bumblebee can be estimated using 3 x 10^(-4) pounds.
the weight of a blue whale can be estimated using 3 x 10^5 pounds.
the weight of a blue whale is about 3 x 10^4 times greater than the weight of a bee.
rewrite the false statement to make it true:

Explanation:

Step1: Check first statement

Compare estimated weight $3\times10^{- 4}$ pounds with actual average weight $0.00025 = 2.5\times10^{-4}$ pounds of bumble - bee. Since $3\times10^{-4}
eq2.5\times10^{-4}$, first statement is False.

Step2: Check second statement

Compare estimated weight $3\times10^{5}$ pounds with actual average weight $330000 = 3.3\times10^{5}$ pounds of blue - whale. Since $3\times10^{5}\approx3.3\times10^{5}$, second statement is True.

Step3: Check third statement

Find ratio of blue - whale weight to bumble - bee weight. Blue - whale weight is about $3.3\times10^{5}$ pounds and bumble - bee weight is about $2.5\times10^{-4}$ pounds. Ratio is $\frac{3.3\times10^{5}}{2.5\times10^{-4}}=\frac{3.3}{2.5}\times10^{5 + 4}=1.32\times10^{9}$. So third statement is False.

Step4: Rewrite false statements

First statement: The weight of a bumblebee can be estimated using $2.5\times10^{-4}$ pounds.
Third statement: The weight of a blue whale is about $1.32\times10^{9}$ times greater than the weight of a bee.

Answer:

  1. False
  2. True
  3. False

Rewrite of first false statement: The weight of a bumblebee can be estimated using $2.5\times10^{-4}$ pounds.
Rewrite of third false statement: The weight of a blue whale is about $1.32\times10^{9}$ times greater than the weight of a bee.