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3 years ago

11

The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the proba

bility that a randomly selected utility bill is more than $120

1 answer:

Korolek [52]3 years ago

4 0

40% just because that the answer

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Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circl

statuscvo [17]

Answer:

C. The area of the blue circle is equal to the sum of areas of green square and black circle.

Step-by-step explanation:

The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.

6 0

3 years ago

A gardener is planting two types of trees:

Jet001 [13]

Answer:

6 years

Step-by-step explanation:

Convert feet to inches: 3 feet = 36 inches, 7 feet = 84 inches

Set two equations equal to each other:

First equation, Type A has a slope of 12 (grows 12 inches per year) and a y-intercept of 36 (it starts 36 inches (or 3 feet) tall)

Second equation, Type B has a slope of 4 (grows 4 inches per year) and a y-intercept of 84 (starts at 84 inches (or 7 feet) tall)

12x + 36 = 4x + 84

subtract 36 from both sides

12x = 4x + 48

subtract 4x from both sides

8x = 48

divide by 8 on both sides

x = 6

It will take the tree types 6 years to be the same height

Hope that helps!

4 0

3 years ago

A rectangular park is 6x + 2 ft long and

frosja888 [35]

Answer:

18x² + 48x - 50

Step-by-step explanation:

Area of rectangle = width x length

Area of square = width²

Therefore, area of park not occupied by the turtle park would be the area of the rectangular park MINUS the area of the turtle pond:

= (3x + 7)(6x + 2) - 8²

= 18x² +42x + 6x + 14 - 64

= 18x² + 48x - 50

5 0

3 years ago

Find the ordered triple to represent u in u=3v-2/3w +2z if v=(4,-3,5) w=(2,6,-1) and z=(3,0,4)

marissa [1.9K]

Answer:

u=(14/3 ,-13,23/3)

Step-by-step explanation:

Given

u=3v-2/3 w+2z

And

v=(4,-3,5)

w=(2,6,-1)

z=(3,0,4)

Putting the values of v,w and z

u=3(4,-3,5)-2/3 (2,6,-1)+2(3,0,4)

u=(12,-9,15)-(4/3,12/3,-2/3)+(6,0,8)

=(12,-9,15)-(4/3,4,-2/3)+(6,0,8)

We will perform the addition first..

=(12,-9,15)-(4/3+6 ,4+0,-2/3+8)

= (12,-9,15)-(22/3,4,22/3)

Subtraction will give us:

=(12-22/3 ,-9-4 ,15-22/3)

=(14/3 ,-13,23/3)

8 0

3 years ago

Round 2.127 to the nearest hundredths, tenths and tens

Svetach [21]

Tenths: 2.1 hundredths:2.13 Tens:2

6 0

3 years ago