The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 ounces and a standard deviation of 7 ounces. Use the Empirical Rule, also known as the 68-95-99.7 Rule. Do not use Tables or Technology to avoid rounding errors. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 23 and 44 ounces

Answer:

[tex]k\ge \:-3[/tex]

Step-by-step explanation:

[tex]12\ge \:-4k[/tex]

[tex]-4k\le \:12[/tex]

[tex]\left(-4k\right)\left(-1\right)\ge \:12\left(-1\right)[/tex]

[tex]4k\ge \:-12[/tex]

[tex]\frac{4k}{4}\ge \frac{-12}{4}[/tex]

[tex]k\ge \:-3[/tex]

Step-by-step explanation:

your problem can't have two equal however if you mean 2(3r-4)=4r + 3 its equal to 11/2. but if you mean 2(3r-4)=4r(3) its equal to -4/3

Answer:

11/20

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

I converted 55% to 11/20

I hope it helped

Answer:

POSITIVE THANK ME LATER

Step-by-step explanation:

Answer:

We have to find the equation of the red line

To get the equation of the line in the slope-intercept form,

we need its slope and its y-intercept

Finding the Slope

we know that the slope of a line is the rise of the line / run of the line between 2 points

here, the 2 points are already marked on the graph

So, slope = rise / run

we notice that the line rises only 2 units and runs 8 units between the points: (-5 , 3 ) and (3 , 5)

Slope = rise  / run

now that we know the values of rise and run, we can plug the values to get the slope

Slope  = 2 / 8

Slope = 1 / 4

Finding the y-intercept

We will now look at the point (-5 , 3) , we know that the slope is 1/4.

which means that every time the line moves 1 unit to the right, it also moves 1/4 units up

So, until the point (-1 , 4), the line has finally ascended 1 unit and now is at a proper coordinate

We can see that the line is only 1 unit to the left of the y-axis, so the y-coordinate of the line after moving 1 unit to the right is the y-intercept

since the line ascends 1/4 units every time it moves 1 unit to the right,

the ordinate of the line at the y-axis will be 1/4 more than the last ordinate (which was 4)

y-intercept = (4 + 1/4)

y-intercept = 17 / 4

Equation of the line

From the question, we know that the general form of the slope-intercept form is :

y  = mx + b (where m is the slope and b is the y-intercept)

y = (1/4)x + (14/4)

y = (x + 14) / 4

Answer:

(-7, 5)

Step-by-step explanation:

Since both of them are equal to y, you could just set them equal to each other.

5/7x + 4 = -1/7x - 2

6/7x = -6

x = -7

Now just plug x back to one of the equations:

y = -1/7*(-7) - 2 = 7 - 2 = 5

Therefore, the solution to the system is (-7, 5)

Answer:

1

Step-by-step explanation:

1111111111111111111

Answer:

3 1/2 ÷ 1 1/4

7/2 ÷ 5/4

7/2 · 4/5

28/10

2.8

Julio walks 2.8 miles in one hour.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

-74 your welcome

Step-by-step explanation:

Answer:

where is the answer

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The absolute value of any number is just its distance from 0.

-4 is 4 away from 0, so its absolute value is 4.

-5 is 5 away from 0, so its absolute value is 5.

Therefore, the equation is basically just asking what is 4 + 5, which is 9 :D.

Answer:

9

Step-by-step explanation:

The bars around the two numbers imply that it wants you to find the absolute value. Absolute value is the distance a number is from zero since distance is always positive to find the answer just make the number positive. Following this rule l-4l=4 and l-5l=5. Then add them together 4+5=9.

Answer:

6x^2 + 23x + 21

Step-by-step explanation:

3x+7 x 2x+3

= 3x(2x) + 3x(3) + 7(2x) + 7(3)

= 6x^2 + 9x + 14x + 21

= 6x^2 + 23x + 21

Answer:

-21/8

Step-by-step explanation:

Answer:

  $729.00

Step-by-step explanation:

The tax is ...

  0.08 × $675 = $54.00

So, the total cost of the bike is ...

  $675 +54 = $729.00

Answer:

3*(4-3+7) = 24

Step-by-step explanation:

(4-3+7) = 8

8*3 = 24

You're welcome :)

Answer:

.

Step-by-step explanation:

Use the distance formula

d = vt

where:

d = distance (miles)

v = speed (mph)

t = time (hours)

Let  x = run time

Let  y = bike time

Total time:      x + y = 4

Using these variables we can write an equation representing the formula.

dTotal = drun + dbike

49 = 9x + 22y

Next, we get the equation in terms of only x or y.  We'll get it in terms of x.

49 = 9x +22(4 - x)

49 = 9x + 88 - 22x

-39 = -13x

 3 = x

Plug in this value of x into the variables to find the distance for each part.

run distance = 9x

bike distance = 22(4 - x)

Answer:

Slope of line g = [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .

∴ [tex]-\frac{3}{4}[/tex] × slope of line g = -1

Slope of line g = -1 ÷ [tex]-\frac{3}{4}[/tex] = 4/3 = [tex]1\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

Answer:

x is greater than or equal to 3

Step-by-step explanation:

4x-5>7 (equation)

4x>12 (add 5 to both sides)

x>3 (divide both sides by 4)

Answer:

36

Step-by-step explanation:

4(x+7) = 6(3x)

2(x+7) = 3(3x)

2x+14 = 9x

14 = 7x

x = 2

Plugging it back into the equation:

Hexagon = 6(3*2) = 6*6 = 36

Square = 4(2+7) = 4*9 = 36

Therefore, the perimeter of each figure is 36.

Answer:

6/10/18

Step-by-step explanation:

Because all I did was multiply each number by two and you would still get the same answer