A device has a constant failure rate with a MTTF of 2 months. One hundred of the devices are tested to failure. (a) How many of the devices do you expect to fail during the second month

Answer:

Equation for new diameter: |d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.60 inches

Maximum possible diameter = 8.70 inches

Step-by-step explanation:

We are told that:

Ball specifications require a diameter (d) = 8.65 inches.

Allowable margin of error = 0.05 inch

Now, since we have a value for the allowable margin of error, it means that the absolute value equation to determine the possible value or the new diameter (d') would be;

|d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.65 - 0.05 = 8.60 inches

Maximum possible diameter = 8.65 + 0.05 = 8.70 inches

Answer:

Step-by-step explanation:

Given:

fair coin is flipped n times

sequence is balanced when there are equal number of heads and tails

To find:

In terms of n, what is the expected number of times the sequence is balanced within n flips

Solution:

Let C(n,r) be the binomial co-efficient. The sample space has [tex]2^{n}[/tex]

Suppose that n is even because there are equal number of heads and tails and the number of heads and tails is not equal when n is odd.

As the result can be either head or tail so the probability of getting head is 1/2. So the number of these sequences with n/2 head is C(n,n/2) since we choose n/2 out of n to be assigned heads.

As every string sequence is equal chance of occurring so the probability is

C(n,n/2) / [tex]2^{n}[/tex]

Answer:  17) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

17) a = 29, b = 13, c = 21, C = ???

   c² = a² + b² - 2ab · cos C

21² = 29² + 13² - 2(29)(13) · cos C

441 = 841 + 169 - 754 cos C

441 = 1010 - 754 cos C

-569 = -754 cos C

[tex]\dfrac{569}{754}=\cos C\\\\\cos^{-1}\bigg(\dfrac{569}{754}\bigg)=C[/tex]

41.0° = C

18) a = 29.3, b = 25.7, c = 16.8, B = ???

   b² = a² + c² - 2ac · cos B

25.7² = 29.3² + 16.8² - 2(29.3)(16.8) · cos B

660.49 = 858.49 + 282.24 - 984.48 cos B

660.49 = 1140.73 - 984.48 cos B

-480.24 = -984.48 cos B

[tex]\dfrac{480.24}{984.48}=\cos B\\\\\cos^{-1}\bigg(\dfrac{480.24}{984.48}\bigg)=B[/tex]

60.8° = B

19) a = 12, b = 19, c = 11, A = ???

   a² = b² + c² - 2bc · cos A

12² = 19² + 11² - 2(19)(11) · cos A

144 = 361 + 121 - 418 cos A

144 = 482 - 418 cos A

-338 = -418 cos A

[tex]\dfrac{338}{418}=\cos A\\\\\cos^{-1}\bigg(\dfrac{338}{418}\bigg)=A[/tex]

36.0° = A

20) a = 10, b = 9, c = 18, A = ???

   a² = b² + c² - 2bc · cos A

100² = 9² + 18² - 2(9)(18) · cos A

100 = 81 + 324 - 324 cos A

100 = 405 - 324 cos A

-305 = -324 cos A

[tex]\dfrac{305}{324}=\cos A\\\\\cos^{-1}\bigg(\dfrac{305}{324}\bigg)=A[/tex]

19.7° = A

Answer:

7) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

Answer:1/6 is the answer

Step-by-step explanation: I have done this befor.

Answer: x = 19

Step-by-step explanation:

Answer:

the answer is 3,765

so the estimate is 4,000

B. About 4,000

Answer:

1239

Step-by-step explanation:

7434/6

Do long division

Answer: $1.99

Step-by-step explanation:

PART A: Cost Of Item/ Number of units of measure

Part B: 10 Pound Tube.

Part C: $19.90 / 10 Lb Tube = $1.99

The Unit cost for the ground beef is $1,99

Answer:

Volume of shed = 38 m³

Step-by-step explanation:

Given:

Length = 5 m

Width = 2 m

Height of wall = 3 m

Height of triangular shed = 1.6 m

Find:

Volume of shed

Computation:

Volume of shed = Volume of walls + Volume of triangular shed

Volume of shed = [lbh] + [1/2][Base area]h

Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6

Volume of shed = [30] + [8]

Volume of shed = 38 m³

Answer:

P= any number or color

Step-by-step explanation:

because there is all sorts of cobinations.

But the most possible one is

Red for the spinner and any number for the die.

possible answers.

red:1

Red:2

Red:3

Red:4

Red:5

Red:6

Brainly please

Answer:

your answer will be 8+2i

Answer:

8 + 2i.

Step-by-step explanation:

(3 + 4i) + (5 - 2i

= 3 + 5 + 4i - 2i

= 8 + 2i.

Answer:

5/32

Step-by-step explanation:

Since 5/8 x 1/4 = 5/32, that is the answer.

Key Note: When you get this type of question, multiply the second  umber by the first.

Answer:

3

Step-by-step explanation:

multiplying by -1 only changes the number if you're multiplying an odd amount of times, but this time you're going from 28 to 50, so it's even, so the number stays the same.

Answer:

$3.66

Step-by-step explanation:

22÷6=3.66666666667 or 3.66

Answer:

360 calories

Step-by-step explanation:

you divide 3 by 3/4ths and you get 4. You then multiply 90 by 4 and the solution is 360 calories.

Answer:

360

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Distribute

-6x + 20 = 15

C

just distribute

hope it helps

Answer:

[tex]188\sqrt{2}-8\sqrt{5}[/tex] feet

Step-by-step explanation:

Well the perimeter is the sum of all sides that means

P= lenght + width + lenght + width

P=2(lenght + width)

so

[tex]P=2(2\sqrt{8}+3\sqrt{5}+45\sqrt{8}-7\sqrt{5} )\\\\P=2((2+45)\sqrt{8}+(3-7)\sqrt{5})\\\\P=2(47\sqrt{8}-4\sqrt{5})\\\\P=2(94\sqrt{2}-4\sqrt{5})\\\\P=188\sqrt{2}-8\sqrt{5}[/tex]

Answer: I think the answer is 1250.

Step-by-step explanation:

I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.

Answer

56

Step-by-step explanation:

i do it on usa test prep

Answer:

X=-3

Step-by-step explanation:

5x - 9

-2x + 12

(+) (-)

7x = -21

X= -3

plz mark ice bear as Brainliest

Answer:

Value of 3 in 6300 is 10 times the value of 3 in 530

Step-by-step explanation:

3 in 6300=hundreds place

3 in 530=tens place

Therefore 10 times

Answer:

11,11 I believe this is the answer.

The new coordinate of the image of the point is (11,11).

Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.

The point coordinate is (6,8)

The translation is right 5 units and up 3 units

The x coordinate is shifted 5 units to the right, (x+5)

and the y units is shifted 3 units up, y+3

(6+5, 8+3)

(11,11)

To know more about Transformation

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Answer:

1:4

Step-by-step explanation:

0.25 tablespoons of sugar will be used per cookie

Answer:

4 cookies per tablespoon of sugar

Step-by-step explanation:

24 cookies divided by 6 tablespoons of sugar equal 4 cookies per tablespoon of sugar

Answer:

2 1/4

Before Simplifying:

9/4

After Simplifying:

2 1/4

Answer: the exact form is 9/4 decimal form is 2.25 and the mixed number form is 2 and 1/4.

Step-by-step explanation:

so take 9/10 and turn 4/10 into 10/10 and the when you divied  use KFC and you turn your division sign into a multiplication sign then you just multiply 9/10 and 10/10 and you get 90/40

Then you just take the zero's off and you have 9/4 which equals 2 and 1/4

2 and 1/4 is your answer.

Answer:

x = 1/4

Step-by-step explanation:

We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -

3/4 = - 2x + 5/4,

If we subtract 5/4 from either side : - 2x = - 1/2

Now divide either side by - 2 : x = 1/4

Therefore our solution is x = 1/4

Answer:

[tex]x=\frac{1}{4}[/tex]

Step-by-step explanation:

So we have the function:

[tex]h(x)=-2x+\frac{5}{4}[/tex]

And we want to find h(x)=3/4.

So, we want to find the value of x such that h(x) equates to 3/4.

So, substitute 3/4 for h(x):

[tex]\frac{3}{4}=-2x+\frac{5}{4}[/tex]

First, subtract both sides by 5/4. The right will cancel.

[tex]\frac{3}{4}-\frac{5}{4}=-2x+\frac{5}{4}-\frac{5}{4}[/tex]

Subtract on the left:

[tex]-\frac{2}{4}=-2x[/tex]

Reduce on the left:

[tex]-\frac{1}{2}=-2x[/tex]

Now, multiply both sides by -1/2. The right will again cancel:

[tex]-\frac{1}{2}(-\frac{1}{2})=-\frac{1}{2}(-2x)[/tex]

Multiply on the left:

[tex]x=\frac{1}{4}[/tex]

So, for h(x) to be 3/4, the value of x is 1/4.

And we're done!

Answer:

Largest is  [tex]x_2 = \$ 63.506[/tex]

Smallest is  [tex]x_1 = \$ 45.29[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$ 54.40[/tex]

   The  standard deviation is  [tex]\sigma = \$ 13.50[/tex]

The largest and the smallest amount spent by 50% of the costumer is mathematically represented as

        [tex]P(x_1 < X < x_2) = P(\frac{ x_1 -\mu}{\sigma } < \frac{X - \mu }{ \sigma } < \frac{ x_2 -\mu}{\sigma } ) = 0.50[/tex]

=>    [tex]P(x_1 < X < x_2 ) = P(\frac{x_1 - 54.40}{ 13.50} < X < \frac{x_2 - 54.40}{ 13.50} ) = 0.50[/tex]

Given that this is normally distributed we have that

      [tex]P(X <- \frac{x_1 - 54.40}{ 13.50} ) = 0.25[/tex]

and

    [tex]P(X < \frac{x_2 - 54.40}{ 13.50} ) = 0.25[/tex]

From the normal distribution curve that z-score having a probability of 0.25 is  

0.6745

So

    [tex]\frac{x_1 - 54.40}{ 13.50} = -0.6745[/tex]

=>  [tex]x_1 = \$ 45.29[/tex]

and  

   [tex]\frac{x_2 - 54.40}{ 13.50} = 0.6745[/tex]

=>  [tex]x_2 = \$ 63.506[/tex]

Answer:

Rotate 180 degrees around (0,0) or flip y axis and then x axis

Answer:

6?

Step-by-step explanation:

??????????????????????????????????????????Is confoosed

Is easy?

Answer:

six

Step-by-step explanation:

bc if u need 6 chopped onions it still means 6 onions just u chop them

Answer:

No

Step-by-step explanation:

If you have a repeating decimal it doesn't matter who many decimal digits there are. Most repeating decimals I have encountered end up converting into a fraction that has a denominator of 9.

Hope This Helps :)

Answer:

It depends

Step-by-step explanation:

It depends on what the repeating decimal is. For instance if the decimal is a repeating 8 then you only have to use one digit. If, however, it is something like .673673673 going on forever you just need however many until it loops again. In this case you would need three, because that is how long the loop is.

The factored form of 3w - 15, after factoring out the Greatest Common Factor, is 3(w - 5).

To factor out the greatest common factor (GCF) from the expression 3w - 15, we first need to determine the GCF of the two terms.

In this case, the GCF of 3w and 15 is 3. Both terms are divisible by 3.

To factor out the GCF, we divide each term by the GCF:

3w/3 - 15/3

Simplifying further, we have:

w - 5

Therefore, the factored form of 3w - 15, after factoring out the GCF, is 3(w - 5).

Factoring out the GCF is a process that involves identifying the highest common factor of all the terms in an expression and dividing each term by that factor. This helps simplify the expression and can make it easier to work with or further factorize if needed.

In this case, the GCF was 3, so we divided both terms by 3 to factor it out, resulting in the simplified expression w - 5.

To learn more about the greatest common factor;

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The complete question:

Find out the factored form of the following expression,

3w – 15

Factoring out the GCF