Question

The actual length of a table is 45 1/2 inches. Harriet estimates the length of the table and finds her percent to be less than 4% What range of values represents Hamel's estimated length Enter your answers as decimals or mixed numbers in simplest form by filling in the boxes Harriet's estimated length is between inches and inches​

Answer 1

Answer:

• 43.68 in and 47.32 in

Step-by-step explanation:

The actual length is 45 1/2 and the estimate is within 4% of error range.

The lower range is:

• 45 1/2 - 4% =
• 91/2 - 4% =
• 91/2*96/100 =
• 91*48/100 =
• 43.68

The higher range is:

• 45 1/2 + 4% =
• 91/2 + 4% =
• 91/2*104/100 =
• 91*47/100 =
• 47.32

So the range is between:

• 43.68 in and 47.32 in

Answer 2

Answer:

Harriet's estimated length is between 44.1 inches and 47 inches.

Step-by-step explanation:

Let the error be x.

so, x<4%

Now, if error is 1%

45 1/2 + 1% of 45 1/2

or, 91/2 + 1/ 100 × 91/2

= 46

Now,

45 1/2 - 1% of 45 1/2

or, 91/2 - 1/100 × 91/2

= 45.1

Now,

if error is 3%

45 1/2 + 3% of 45 1/2

or, 91/2 + 3/100 × 91/2

= 47

OR

45 1/2 - 3% of 45 1/2

= 91/2 - 3/100 × 91/2

= 44.1