Mathematics High School

6. A jar full of marbles is displayed. The following table shows the guesses for 10
people. The actual number of marbles in the jar is 145. Calculate the absolute
guessing error for all 10 guesses.
guess
absolute guessing
error
(From Unit 4, Lesson 13.)
190 150 125 133 167 160 148 200 170 115

Answers

Answer 1

The absolute guessing errors for all 10 guesses are:

45, 5, 20, 12, 22, 15, 3, 55, 25, 30

To calculate the absolute guessing error, we need to find the absolute difference between each guess and the actual number of marbles (145).

Absolute guessing error for each guess:

|190 - 145| = 45

|150 - 145| = 5

|125 - 145| = 20

|133 - 145| = 12

|167 - 145| = 22

|160 - 145| = 15

|148 - 145| = 3

|200 - 145| = 55

|170 - 145| = 25

|115 - 145| = 30

Therefore, the absolute guessing errors for all 10 guesses are:

45, 5, 20, 12, 22, 15, 3, 55, 25, 30

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Related Questions

Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.

Answers

The area of the given figure is 50.28

From the figure;

We know that,

Area of rectangle = length x width

Area of circle = π·r²

Area of rectangle =  11 x twice the radius

radius = 2

Area of rectangle A  = 11(4)

                                  = 44 square units

A (semicircle) = (π·r²) / 2

A = 4π / 2

   = 2π

   = 6.28 square units

The are of the figure = area of rectangle + area of semicircle

⇒ 44.0 + 6.28

⇒ 50.28

Hence, area = 50.28 square units.

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simplify the following

[tex]2 {b}^{2} - 4b + 1 - {b }^{2} - b - 4 {b}^{2} - 2b + 6[/tex]
​

Answers

Answer:

To simplify the given expression, let's combine like terms and simplify each term:

2b² - 4b + 1 - b² - b - 4b² - 2b + 6

Combine like terms:

(2b² - b² - 4b²) + (-4b - b - 2b) + (1 + 6)

Simplify each term:

(-3b²) + (-7b) + (7)

The simplified expression is:

-3b² - 7b + 7

In parallelogram PQRS, diagonal PR bisects ∠P and ∠R,and diagonal SQ bisects ∠S and ∠Q.
What is the most specific classification of parallelogram PQRS?

Answers

The parallelogram PQRS is a rectangle

Given data ,

In parallelogram PQRS, diagonal PR bisects ∠P and ∠R,and diagonal SQ bisects ∠S and ∠Q.

According to the information provided, a rectangle is the parallelogram PQRS categorization that is the most precise.

The diagonals in a rectangle are split in half, and each angle is 90 degrees.

It meets the characteristics of a rectangle since diagonal PR bisects P and R and diagonal SQ bisects S and Q.

Therefore , rectangle is represented by PQRS

Hence , the parallelogram is solved

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what is the shortest length of rope which can be cut exactly into 6m,7m and 3m pieces?​

Answers

Answer:

42 m

Step-by-step explanation:

To find the least common multiple (LCM), write the prime factorizations:

3 = 3¹

6 = 2¹ × 3¹

7 = 7¹

The LCM is the product of each prime number raised to its highest power.

LCM = 2¹ × 3¹ × 7¹

LCM = 42

The following closing costs were paid on a home loan. Closing Cost Charge Loan origination $320 Title insurance $473 Attorney’s fees $915 Appraisal $415 Recording fees $103 Escrow $1,318 If the closing costs were 5% of the loan amount, how much was the loan amount? a. $62,580 b. $70,880 c. $74,424 d. $177,200

Answers

The loan amount was $69,080.the closest option is b.

let's denote the loan amount as x. we know that the total closing costs are equal to 5% of the loan amount, so we can set up an equation:

320 + 473 + 915 + 415 + 103 + 1,318 = 0.05x

simplifying and solving for x, we get:

x = (320 + 473 + 915 + 415 + 103 + 1,318) / 0.05x = 69,080 $70,880, which is within rounding error, but it is not exact.

closing costs were paid on a home loan. Closing Cost Charge Loan origination $320 Title insurance $473 Attorney’s fees $915 Appraisal $415 Recording fees $103 Escrow $1,318 If the closing costs were 5% of the loan amount,

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