All categories

3 years ago

Using the box-and-whisker plot shown, find the quartile values Q1 and Q3

Mathematics

1 answer:

astra-53 [7]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The lower quartile $Q_{1}$ is positioned at the left side of the box, that is

$Q_{1}$ = - 4

The upper quartile $Q_{3}$ is positioned at the right side of the box

$Q_{3}$ = 6

You might be interested in

In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calor

Kruka [31]

Answer:

1. The slope of the least-squares regressin line is 11.364

2. The intercept of the least-squares regression line is 204.343

3. The residual corresponding to this observation is -10 calories

Step-by-step explanation:

1. In order to calculate the slope of the least-squares regressin line we would have to use the following formula:

slope of the least-squares regressin line=r*sy/sx

Therefore, slope=0.979*324.90/27.99

slope=11.364

2. In order to calculate the intercept of the least-squares regression line we would have to use the following formula:

intercept of the least-squares regression line=ybar - slope*xbar

intercept=662.88 - 11.364*40.35

intercept=204.343

3. In order to calculate the the residual corresponding to this observation we would have to use the following formula:

residual = observed y - predicted y

predicted y=11.364*x + 204.343

if the x value is 7, therefore predicted y=11.364*107 + 204.343

predicted y=1,420

Therefore, residual=1410 calories - 1420 calories

residual=-10 calories

8 0

3 years ago

What is 4,967 divided by 68 with a remainder no decimals

Sonja [21]

The answer would be 73 remainder 0 if rounded to one decimal place

5 0

3 years ago

Read 2 more answers

Maths what is 0.000965 to : 2 d.p 1d.p 2s.g.f 3s.g.f thanks

umka21 [38]

Decimal places mean we just start counting immediately after the decimal point, so:
2dp: 0.00
1dp: 0.0

Significant figures, we start counting starting at the first non zero number
So we start counting at the 9, therefore:
2sf: 0.00097
3sf: 0.000965

4 0

3 years ago

What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?

Sergeu [11.5K]

Answer:

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

x = -4 - 4.9 = - 8.9

Therefore, 16 must be added to solve the quadratic equation by completing the square method.

6 0

3 years ago

Which answer choice represents an equivalent number sentence of "15 + (3 - 8)"?

frozen [14]

Answer:

A- 15-5 is the same

Step-by-step explanation:

15 + (3-8)

15 + (-5)

15-5

8 0

3 years ago

Read 2 more answers