The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?

Answer:

[tex]\boxed {\tt B. \ x=45}[/tex]

Step-by-step explanation:

x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.

Add x and 3x, and set that equal to 180.

[tex]x+3x=180[/tex]

Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.

[tex](x+3x)=180[/tex]

[tex]4x=180[/tex]

Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{4x}{4} =\frac{180}{4}[/tex]

[tex]x=\frac{180}{4}[/tex]

[tex]x=45[/tex]

x is equal to 45, so the correct answer is B. 45

In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).

Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.

Then,

[tex] \angle TRS + \angle TRV = 180 \degree[/tex]

In the question, given angle TRS = x and angle TRV = 3x

[tex]x + 3x = 180 \degree[/tex]

[tex]4x = 180 \degree[/tex]

Now, divide 4 from both sides because we need to find x.

[tex]x = \frac{180 \degree}{4} [/tex]

[tex]x = 45 \degree[/tex]

It was given that Angle TRS is x

So, Angle TRS = 45°

Option B

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Answer:

They will meet at a distance 9 miles from Karen's house.

Step-by-step explanation:

Let the distance covered by Josh be [tex]S_{1}[/tex] and the distance covered by Karen be [tex]S_{2}[/tex]

The distance between Josh and Karen's houses is 20 miles. That is, the total distance both of them will cover is 20 miles.

Hence, [tex]S_{1} + S_{2} = 20 miles[/tex]

From the question, if Josh takes a 10 minute break after he starts while Karen rides the whole time, this means

If Karen rides for a total of [tex]t[/tex] mins, then Josh would spend [tex]t-10[/tex] mins for the journey

Also, Josh rides at an average speed of 15 miles per hour

and Karen rides at an average speed of 10 miles per hour

Now, for Josh

Distance = [tex]S_{1}[/tex]

Speed = 15 mile/hour (Covert to mile/minute); (NOTE: 1 hour = 60 mins)

Speed= 0.25 mile/min

Time spent = [tex]t - 10[/tex] mins

From

[tex]Speed =\frac{Distance}{Time}[/tex]

Distance = Speed × Time

Distance = 0.25 mile/min × (t-10) min

[tex]S_{1}[/tex] = 0.25(t-10) mile

[tex]S_{1}[/tex] = 0.25t - 2.5

t = ([tex]S_{1}[/tex] + 2.5) / 0.25 ....... (1)

For Karen,

Distance = [tex]S_{2}[/tex]

Speed = 10 mile/hour (Covert to mile/minute);

Speed= [tex]\frac{1}{6}[/tex] mile/min

Time spent = t

[tex]Speed =\frac{Distance}{Time}[/tex]

Distance = Speed × Time

Then, [tex]S_{2}[/tex] = [tex]\frac{1}{6}[/tex] mile/min × t min

[tex]S_{2}[/tex] = [tex]\frac{1}{6}t[/tex] mile

t = 6[tex]S_{2}[/tex] ......... (2)

Equating equations (1) and (2), we get

([tex]S_{1}[/tex] + 2.5) / 0.25 = 6[tex]S_{2}[/tex]

Then,

([tex]S_{1}[/tex] + 2.5) = 1.5[tex]S_{2}[/tex]

Recall that

[tex]S_{1} + S_{2} = 20 miles[/tex]

Then, [tex]S_{1} = 20 - S_{2}[/tex]

∴[tex]20 - S_{2}[/tex] + 2.5 = 1.5[tex]S_{2}[/tex]

2.5[tex]S_{2}[/tex] = 22.5

[tex]S_{2}[/tex] = 22.5 / 2.5

[tex]S_{2}[/tex] = 9 miles

This means Karen covers a total distance of 9 miles

Hence, they will meet at a distance 9 miles from Karen's house.

Answer:

The annswer is 3 for the clay pots

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

out of 10 that were taking math 8 of them were also taking english. 10-8=2

Answer:

50 mph

Step-by-step explanation:

Answer:

6 yards

Step-by-step explanation:

she need 1 yard of ribbon for each hairbow and 6 friends to make them for

Answer:

13

Step-by-step explanation:

This is a division problem.

$104/$8 = 13

Answer: 13

Answer:

2x10^-4,0.004,4x10^-2,,0.042,0.24

Step-by-step explanation:

i did the paper

Answer:

  4,152,842.53301 cm³ ≈ 4.1528 m³

Step-by-step explanation:

The volume of a rectilinear room of those dimensions will be the product of those dimensions:

  (144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³

A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...

  4.1528 m³

_____

We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.

_____

Additional comment

These dimensions correspond to those of a room that is 57 inches square and 78 inches high.

Answer:

1 and 1/2

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

1.5 as a decimal

1 1/2 as a fraction

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

b hours

Step-by-step explanation:

100 minus the 10 on the jacket  equals 90. 90 divided by 15 is 6

Answer:

4

Step-by-step explanation:

7+-3=4

Answer:

4

Step-by-step explanation:

Step 1:

7 + ( -3)

Step 2:

7 - 3

Answer:

4

Hope This Helps :)

Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.

Step-by-step explanation:

Wee will represent the first angle by f,the second by s, and the third by t.

If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation  s= 2f-3  .

The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .

Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.

f+ (2f+8) + (2f -3) = 180  Combine like terms on the left side

5f + 5 = 180  

     -5      -5

5f= 175  

f = 35  

So the first angle is 35 degrees.

Second angle.

s=2(35) - 3  

s= 70 -3

s = 67  

The second angle is 67.

Third angle.

t = 2(35) + 8

t= 70 + 8

t= 78

The third angle is 78 degrees.

Now add the angles up to see if they equal 180 degrees.

35 + 67 + 78 = 180  

   180 = 180

Answer:

x=26°

B. 26°

Step-by-step explanation:

Triangle Sum theorem

75 + 79 + x =180

154 + x =180

x= 26

Answer:

Island A=5

Island B=20

Island C=5

Step-by-step explanation:

Island AB=25 house

Island AC=10 house

Island BC=25 house

Total =30 house

30-25 to get the house on island C which is 5

30-10 to get the house on island B which is 20

30 -25 to get the house on island A which is 5

Answer:

5n/2 - b =a

Step-by-step explanation:

5n/2 = (a + b)

subtract b from both sides

5n/2 - b = a

Answer: The dimensions of the frame:.

W= 2√10 or about 6.3245 inches

L= 4√10 or about 12.6491 inches

Step-by-step explanation:

This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.

Here the equation is w(2w)=80

2w^2 = 80 (2w is easier to work with than L/2).

w^2=40 (^2 means squared)

√w^2 = √40 square root of both sides: Factor 40. Take out√4

W = √4*10

W= 2√10

L= 2w = 4√10

6.3245 × 12.6491 = 80

Answer:

400

Step-by-step explanation:

Step-by-step explanation:

elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck

Answer:  see below

Step-by-step explanation:

Graph the points and rotate the graph as follows:

or use the following formulas:

1) 180°: (x, y) → (-x, -y)

       D: (1, 4) → (-1, -4)

       E: (7, 6) → (-7, -6)

       F: (8, 3) → (-8, -3)

       G: (2, 1) → (-2, -1)

2) 270°: (x, y) → (y, -x)

       L: (1, 6)  → (6, -1)

       M: (8, 7) → (7, -8)

       N: (5, 2) → (2, -5)

3)  90°: (x, y) → (-y, x)

       Q: (2, 6) → (-6, 2)

       R: (5, 7) → (-7, 5)

       S: (7, 3) → (-3, 7)

       T: (1, 1)  → (-1, 1)

4) 180°: (x, y) → (-x, -y)

       D: (3, 0) → (-3, 0)

       E: (6, 1) → (-6, -1)

       F: (7, -4) → (-7, 4)

       G: (1, -6) → (-1, 6)

Answer:

72

Step-by-step explanation:

Answer:

72 m

Step-by-step explanation:

14x4=56

4x4=16

56+16=72

Answer:

We know that every 15th person gets a free box of popcorn.

This depends on order, but nobody knows what is his actual position, so we can assume that:

of 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

1/15

And the negation, (the probability of not getting a free box) is:

1 - 1/15 = 14/15 = 0.93...

The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]

Given that, from 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

                                 [tex]P(E)=\frac{1}{15}[/tex]

the probability of not getting a free box is,

           [tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]

Learn more about the probability here:

https://brainly.com/question/25870256

[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]

[tex]\hrulefill[/tex]

To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.

[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]

To find how far the car will travel in a certain time, just multiply the speed by the time.

[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]

[tex]\large\boxed{3\ \text{km}}[/tex]

Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

Answer:

m= -4

Step-by-step explanation:

-2m-14=3m+6

-14=5m+6

-20=5m

m= -4

Answer:

-7/15

Step-by-step explanation:

Find GCF of both denominators

GCF: 15

Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5

This gives you -10/15 + 3/15

Solve

-7/15

Answer:

5.6 cm

Step-by-step explanation:

Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. 

The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2

L = 1 cm

The y axis or the vertical length will be

L = sqrt ( [ 4-0]^2 + [0-0]^2)

L = Sqrt(16)

L = 4 cm

Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.

That is,

Thickness = 2 × 4 = 8 mm

The height of the balance point of the blade will be;

Height = 8 mm + 4 cm + 8 mm

Height = 0.8 + 4 + 0.8

Height = 5.6 cm

Note that the thickness will be added to both the top and the bottom of the blade.

Answer:

hours = 5 x dollars

Step-by-step explanation:

Because, for every hour you earn 5 dollars.