The width of a slot of a duralumin forging is (in inches) normally distributed with μ= 0.9000 and σ = 0.0030. The specification limits were given as 0.9000 ±0.0050. Show your calculations. Draw normal curves wherever appropriate.
a) What percentage of forgings will be defective?
b) What is the maximum allowable value of σ that will permit no more than 1 in 100 defectives when the widths are normally distributed with μ = 0.9000 and σ (revised value)?

Answer:

mark me brainlest

Step-by-step explanation:

7

packets

Explanation:

Steve needs to know how many groups of 12 there are in the 75 students.

75

÷

12

=

6

1

4

However, Steve can only buy full packets of 12.

He needs 7 packets of apples.

I he only buys 6, there will not be enough for all the 5th Graders.

Answer:

35/4

Step-by-step explanation:

I hope this helps!

9514 1404 393

Answer:

  (p, q) = (16, 20)

Step-by-step explanation:

You can add the two equations together to make one from which q can be eliminated:

  (4p) +(3p -q) = (-q +84) +(28)

  7p -q = -q +112 . . . . simplify

  7p = 112 . . . . . . . . . . add q

  p = 112/7 = 16

Using this value in the second equation, we get ...

  3·16 -q = 28

  48 -28 = q = 20 . . . . . add q-28

The equilibrium point is (p, q) = (16, 20).

Answer:

6 > x > 2

Step-by-step explanation:

This could be wrong, but if the number is less than six, and greater than two, itd look like that!

Answer:510

Step-by-step explanation:

Answer:

510

Step-by-step explanation:

If it is :

[tex]y = f(x) = {x}^{4} [/tex]

_________________________________

[tex]f( - 4) = ({ - 4})^{4} = 256 [/tex]

_________________________________

[tex]f(2) = {2}^{4} = 16 [/tex]

_________________________________

[tex]f(8) = {8}^{4} = 4096 [/tex]

Range = { 16 , 256 , 4096 }

##############################

If it is :

[tex]y = f(x) = 4x[/tex]

_________________________________

[tex]f( - 4) = 4( - 4) = - 16[/tex]

_________________________________

[tex]f(2) = 4(2) = 8[/tex]

_________________________________

[tex]f(8) = 4(8) = 32[/tex]

Range = { -16 , 8 , 32 }

##############################

And we're done.....♥️♥️♥️♥️♥️

Answer:

21, 4, 0, and −2048 are intergers

Step-by-step explanation:

Answer:

a

[tex]E[(3X+1)^2]= 8.5  [/tex]

b

[tex]P(1 <  X < 2)=0.1170 [/tex]

Step-by-step explanation:

From the question we are told that

   The parameter of  X  is  [tex]\lambda  =  2[/tex]

Generally the expected value of  X is  

    [tex]E(X) =  \frac{1}{\lambda }[/tex]

     [tex]E(X) =  \frac{1}{2}[/tex]

=>  [tex]E(X) =  0.50 [/tex]

Generally we have that

     [tex]E(X^2) =  E(X)^2 + E(X)^2[/tex]

=>  [tex]E(X^2) =  [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2[/tex]

=>  [tex]E(X^2) =  0.5 [/tex]

Generally

    [tex]E[(3X+1)^2]= E(9x^2 + 1 + 6x)[/tex]

=>  [tex]E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])[/tex]

=>    [tex]E[(3X+1)^2]= 9* 0.5  + 1 + 6 * 0.5 [/tex]

=>   [tex]E[(3X+1)^2]= 8.5  [/tex]

Generally  

   [tex]P(1 <  X < 2)=  P(X < 2) - P(X < 1)[/tex]

Here  [tex]P(X <  2 ) =  e^{- 2 * \lambda }[/tex]

=>      [tex]P(X <  2 ) =   e^{- 2 * 2 }[/tex]

=>       [tex]P(X <  2 ) =   e^{- 4}[/tex]

and  

    [tex]P(X <  1 ) =   e^{- 1 * \lambda }[/tex]

    [tex]P(X <  1 ) =   e^{- 1 * 2 }[/tex]

    [tex]P(X <  1 ) =   e^{-2 }[/tex]

So

   [tex]P(1 <  X < 2)= e^{-2 } -  e^{- 4} [/tex]

  [tex]P(1 <  X < 2)=0.1170 [/tex]

Answer:

255 calories.

Step-by-step explanation:

There are many different ways to solve this, but I only know two.

First I noticed that 16 and 24 were both divisible by 4 so divided 16 by 4 and got 4. Then I divided 170 by 4 and got 42.5. So then I divided 24 by 4 and got 6. I multiplied 6 by 255.

OR

Divide 170 by 16 which gave me 10.625 which is the unit rate or constant of proportionality. So I multiplied 10.625 by 24 and got 255.

Answer:

1.

Collinear points mean they are on the same line. That leaves us with answer d. F, E, G

2.

In this case, the intersection of the 2 planes is a line. 2 points both planes contain are B and C, so the intersection can be named as answer b: Line BC

3.

2 points define a line, so therefore the answer to the question is answer b. 1

Hoped this helped. If it did, could you please consider giving me a brainliest? :)

Answer:

No

Step-by-step explanation:

Counterexample for the numbers 25 and 10

The actual LCM is 50

If you were to multiply both numbers together you would get 250 which is incorrect

Answer:

24

Step-by-step explanation:

bc 60-36=24 (idk if this is right)

Answer:

linear

Step-by-step explanation:

Answer:

145 . this is because angles on a straight line add up to 180 degrees

Answer:

c.145

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

5x - 15 =20

5x=15+30

5x=35

Divide by 5

X=7

Answer:

Insurance can cover you or your property in case of an accident, theft, or another unpredictable event.

Answer:

$0.23 or D

Step-by-step explanation:

Edg :)

The cost of one teaspoon of basil is $0.23. Therefore, option D is the correct answer.

We need to find the cost of basil per teaspoon.

Interpretation of the data table is as follows:

Let the cost of one teaspoon of basil be $x, oregano be $y and parsley be $z.

Now, x+2y+3z=1.06-----(1), x+y+2z=0.72-----(2) and 2x+2y+z=0.99-----(3)

Equation (1)-(2), we get

x+2y+3z-(x+y+2z)=1.06-0.72

⇒y+z=0.34-----(4)

⇒z=0.34-y

Substitute z=0.34-y in equation (3).

That is, 2x+2y+0.34-y=0.99

⇒2x+y+0.34=0.99

⇒2x+y=0.65---(5)

Substitute z=0.34-y in equation (2)

Equation (5)-(4), we get

x+y+2(0.34-y)=0.72

⇒x+y+0.68-2y=0.72

⇒x-y=0.04-----(6)

Add equations (5) and (6), and we get

2x+y+x-y=0.65+0.04

⇒3x=0.69

⇒x=0.23

Therefore, the cost of basil per teaspoon is $0.23.

To learn more about the system of equations visit:

https://brainly.com/question/9351049.

#SPJ5

Answer:

If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and –1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and –6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.

Step-by-step explanation:

Answer:

112 $ is the original price

Step-by-step explanation:

[tex]x \times 0.75 = 84 \\ x = 84 \div 0.75 \\ x = 112[/tex]

you have to think that the original price multiplied by 0.75 (also known as 75%) gave the result of what he saves i.e 84 $. So we put up an equation with the original price multiplied by 75% which equals the 84 $ he saved on buying that item on sale

The value of x in the table above is $112.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given;

All the items on the sale rack were 75 percent off their original price.

Jill bought an item on the sale rack and saved a total of $84

Now,

Let the original price without off be x

84*100/x=75

8400/75=x

x=112

Therefore, the price without 75 percent of will be $112

Learn more about percent here:

https://brainly.com/question/11549320

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Answer:

lucia tiene 32

carlos tiene 16 y

diana tiene 8

Answer:

would be 3 weeks

Step-by-step explanation:

He is taking about 5 each week he has done 10 in 2 weeks so should be 3 weeks.

Answer:

3 weeks

Step-by-step explanation:

2 weeks is 10 quizzes and 1 week is 5 quizzes, so 2+1=3

Answer:

(6,1)

Step-by-step explanation:

midpoint = ((x2+x1),(y2+y1)/2)

= (6+6)/2, (-5+7)/2

= 12/2, 2/2

= 6,1

Answer:

Step-by-step explanation:

x- coordinates same so the line is vertical and we'll only calculate the y-coordinate

So the point is

Answer:

I think it's {3, 6, 12, 18}

Step-by-step explanation:

Domain: all x-values that are to be used (independent values).

First, isolate the variable:

x>-33

The answers would be 25, 14, -25.

I am not sure if that is a more than sign or a more than or equals sign; if it is a more than sign the answers mentioned above are the only answers, but if it a more than or equals sign, the answers are 25, 14, -25, -33.

If it helped please consider giving be brainliest :)

Answer:

Step-by-step explanation:

Solving in steps

Correct answer choices:

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 5, p = 0.156, and q = 0.844.

r = 0, P = ₅C₀ (0.156)⁰ (0.844)⁵⁻⁰ = 0.428

r = 1, P = ₅C₁ (0.156)¹ (0.844)⁵⁻¹ = 0.396

r = 2, P = ₅C₂ (0.156)² (0.844)⁵⁻² = 0.146

r = 3, P = ₅C₃ (0.156)³ (0.844)⁵⁻³ = 0.027

r = 4, P = ₅C₄ (0.156)⁴ (0.844)⁵⁻⁴ = 0.002

r = 5, P = ₅C₅ (0.156)⁵ (0.844)⁵⁻⁵ ≈ 0

Answer:

P(≥ 7 males) = 0.0548

Step-by-step explanation:

This is a binomial probability distribution problem.

We are told that Before 1918;

P(male) = 40% = 0.4

P(female) = 60% = 0.6

n = 10

Thus;probability that 7 or more were male is;

P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)

Now, binomial probability formula is;

P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)

Now, p = 0.4 and q = 0.6.

Also, n = 10

Thus;

P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)

P(7) = 0.0425

P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)

P(8) = 0.0106

P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)

P(9) = 0.0016

P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)

P(10) = 0.0001

Thus;

P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548

Answer:

n = number of nickels

2n = number of dimes

n($0.05) + 2n($0.10) = $2.25

0.05n + 0.2n = 2.25

0.25n = 2.25

n = 2.25/0.25 = 9

2n = 2(9) = 18

You has 9 nickels and 18 dimes

Step-by-step explanation:

Answer: $64

Step-by-step explanation:

20% of 100 is 20 so 100-20=80. Also 20% of 80 is 16. So 80-16=64. So that’s the answer.