The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.


What is the notation?

supplementary angles = 180°

A : B

17 : 1

170 : 10

Answer:

i think

-17x^2 +3x

.....

Arlo has $25 to spend on a T-shirt and

shorts for gym class. The shorts cost $14.

Use the inequality 14 +1 < 25, where t

represents the cost of the T-shirt. What is

the most Arlo can spend on the T-shirt?

the answer is $11.

Answer:

Step-by-step explanation:

From the table we see that:

If you have t minutes to complete the test then required inequality is:

Answer:

2/3

Step-by-step explanation:

x+y=coin

so you take the

i stream on twitch my twtich is micahcoolboy123

i play fortnite save the world and give free guns

Answer:

Two 1/6 pieces

Step-by-step explanation:

Two 1/6 pieces equals 1/3 of the apple

Answer:

Step-by-step explanation:

-2x + 6 = -6

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

⚡Hi⚡

-2x + 6 = -6

2x = 12

x = 6

Delete my account please.

Answer: it would be the "=" sign

Step-by-step explanation: this is because 2/3 and 6/9 are equivalent fractions. you want to find the greatest common factor between 6 and 9 which is 3. you multiply that by the numerator and denominator. therefore, the symbol that compares these mixed numbers is "=".

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4

Answer:

y=-x-5(instead of 5 it could be any number)

Step-by-step explanation:

Answer:

x = 14

<CAD = 42degrees

Step-by-step explanation:

Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees

Taking the sum of all the angles and equating to 360, we will have;

<BAC + <DAE + <BAE + <CAD = 360

60+90+12x+3x = 360

150 + 15x = 360

15x = 360 - 150

15x = 210

x = 210//15

x = 14

Get <CAD

Since <CAD = 3x

<CAD = 3(14)

<CAD = 42 degrees

Hence the measure of angle CAD is 42degrees

Answer:

A

Step-by-step explanation:

To find volume you multiply lwh

Answer:

2400 [tex]$cm^3$[/tex]

Step-by-step explanation:

From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,

[tex]b = 8 cm\\h = 15cm[/tex]

[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]

The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]

Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.

Answer:65

Step-by-step explanation:

Length of first, second and third piece are 5, 15 ,25 inch

Given that;

Length of board = 45 inch

Second cut is 3 times as long as the first piece

Third cut is 5 times as long as the first piece

Find:

Length of all three piece

Computation:

Assume;

Length of first piece = a

So,

Length of second piece = 3a

Length of third piece = 5a

So,

Length of first piece + Length of second piece + Length of third piece = Total length

a + 3a + 5a = 45

9a = 45

a = 5

So,

Length of first piece = a

Length of first piece = 5 inch

Length of second piece = 3a = 3(5)

Length of second piece = 15 inch

Length of third piece = 5a = 5(5)

Length of third piece = 25 inch

Learn more:

https://brainly.com/question/15558889?referrer=searchResults

Answer:

Step-by-step explanation:

x + x + 65 °+ 25° = 180° ( being sum of angles of triangle )

2x + 90° = 180°

2x = 90°

x = 45

now

<A = 45°

< B = x + 65° = 45 °+ 65 °= 110°

< C = 25°

Hope it helps :)

Answer:

5

Step-by-step explanation:

The quotient of 149 divided by 33 is 4.51.

The quotient is the number that is generated when we perform division operations on two numbers.

The given fraction is;

[tex]\dfrac{149}{33}[/tex]

The quotient of 149 divided by 33 is given by;

[tex]=\dfrac{149}{33}\\\\= 4.51[/tex]

Hence, the quotient of 149 divided by 33 is 4.51.

Learn more about quotient here;

https://brainly.com/question/21416852

#SPJ2

Answer:

1,873,000

Step-by-step explanation:

Answer:Rounded to the nearest thousand is the 4th number. Since the 3 numbers past the 2 is over 500, the rounded number would be 1,873,000.

Step-by-step explanation:Have a great day

Answer:

b cause its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

THe guy is correct its B

Answer: 51 pounds

Step-by-step explanation:

Since the goat weighed 6 3/8 pounds and weighed 8 times as much by age 3, the weight of the goat at age 3 will be gotten by multiplying 6 3/8 by 8. This will be:

= 6 3/8 × 8

We change 6 3/8 to an improper Fraction

= 51/8 × 8

= 51 pounds

The weight is 51 pounds

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{7}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 7[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = [tex]\frac{7\sqrt{3} }{3}[/tex] → D

Answer:

False

True

False

True

False

Step-by-step explanation:

Use corresponding parts of similar polygons

Answer:

Ok first one true second one true and and the third one false and forth one true and fith one false so look at the bottom for better help

Step-by-step explanation:

1. True

2. True

3. False

4. True

5. False

Answer: X=23

<u is 75

< v is 29

<w is 76

Step-by-step explanation:

< u + < v +< w = 180

<w + 3x+35 = 180

so 3x+35= <v+ <u

3x+35=x+52+x+6

3x+35= 2x+58

x+35=58

x= 23

so each angle

U= (23+52)= 75

V= (23+6)= 29

W=180-75-29= 76

or 3(23)+35+w=180

104+w=180

w= 76

Answer:

Step-by-step explanation:

[tex]y^2=10-x^2\\ \\ 0=10-\sqrt{10}^2\\ \\ 0=10-10\\ \\ 0=0\\ \\ (\sqrt{10},\ 0)[/tex]