I need the missing length help (10 points )

Answer:

(a) 0.1325

(b) 0.4045

(c) 0.463

Step-by-step explanation:

Let X denote the number of defective transistors.

The proportion of defective transistors is, p = 4/11 = 0.364.

All the transistors are independent of the others.

The random variable X follows a binomial distribution.

(a)

Compute the probability that both transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=2)={2\choose 2}(0.364)^{2}(1-0.364)^{2-2}\\\\=1\times 0.132496\times 1\\\\=0.132496\\\\\approx 0.1325[/tex]

(b)

Compute the probability that neither transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=0)={2\choose 0}(0.364)^{0}(1-0.364)^{2-0}\\\\=1\times 1\times 0.404496\\\\=0.404496\\\\\approx 0.4045[/tex]

(c)

Compute the probability that one transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=1)={2\choose 1}(0.364)^{1}(1-0.364)^{2-1}\\\\=2\times 0.364\times 0.636\\\\=0.463008\\\\\approx 0.463[/tex]

Answer:

3 Letters Word: 6 Distinct Ways: 4 Letters Word: 24 Distinct Ways: 5 Letters Word: 120 Distinct Ways: 6 Letters Word: 720 Distinct Ways: 7 Letters Word: 5,040 Distinct Ways: 8 Letters Word: 40,320 Distinct Ways: 9 Letters Word: 362,880 Distinct Ways: 10 Letters Word: 3,628,800 Distinct Ways

Step-by-step explanation:

The number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

As we can see that the word 'PHILOSOPHY' has 10 letters therefore, the letters of the word can be arranged in the 10! manner, but it contains the letter P, H and O twice therefore, there will be words that will look the same and are counted twice. Thus, the number of ways the word PHILOSOPHY can be arranged are,

[tex]\text{Number of ways} = \dfrac{10!}{2! \times 2! \times 2!} = 453,600[/tex]

Hence, the number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

Learn more about Factorial:

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Answer:

Answer and Explanation:

We have:

Population mean,

μ

=

3

,

000

hours

Population standard deviation,

σ

=

696

hours

Sample size,

n

=

36

1) The standard deviation of the sampling distribution:

σ

¯

x

=

σ

√

n

=

696

√

36

=

116

2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.

Therefore:

The expected value of the sampling distribution is equal to the population mean,

μ

¯

x

=

μ

=

3

,

000

The standard deviation of the sampling distribution,

σ

¯

x

=

116

The shape of the sampling distribution of

¯

x

is approximately normal. As the sample size is more than

30

.

3) The probability that the average life in the sample will be between

2670.56

and

2809.76

hours:

P

(

2670.56

<

x

<

2809.76

)

=

P

(

2670.56

−

3000

116

<

z

<

2809.76

−

3000

116

)

=

P

(

−

2.84

<

z

<

−

1.64

)

=

P

(

z

<

−

1.64

)

−

P

(

z

<

−

2.84

)

=

0.0482

Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)

4) The probability that the average life in the sample will be greater than

3219.24

hours:

P

(

x

>

3219.24

)

=

P

(

z

>

3219.24

−

3000

116

)

=

P

(

z

>

1.89

)

=

0.0294

Using Excel: =NORMSDIST(-1.89)

5) The probability that the average life in the sample will be less than

3180.96

hours:

P

(

x

<

3180.96

)

=

P

(

z

<

3180.96

−

3000

116

)

=

P

(

z

<

1.56

)

=

0.9406

The expected value, standard deviation, and shape of the sampling distribution of will be 116.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Now,

Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Hence, The expected value, standard deviation, and shape of the sampling distribution of is,

⇒ Standard error = 696 / √ 36

                            = 696 / 6

                            = 116

Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.

Learn more about the standard deviation visit:

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Answer:

3x - 2

Step-by-step explanation:

5x +1 -2x -3    Combine like factors with x

5x -2x = 3X

3x +1 -3         Combine like factors without x

1 -3 = -2

Answer:

49, 51, 53

Step-by-step explanation:

Let the first odd integer be n.

Then the consecutive odd integer will be (n+2).

This will be followed by (n+4).

We know that the sum of these three is 153. In other words:

[tex]n+(n+2)+(n+4)=153[/tex]

Solve for n. Combine like terms:

[tex]3n+6=153[/tex]

Subtract 6 from both sides:

[tex]3n=147[/tex]

Divide both sides by 3:

[tex]n=49[/tex]

Therefore, our first odd number is 49.

So, our consecutive numbers must be 51 and 53.

Hence, our sequence is:

49, 51, 53

Notes:

If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.

Answer:

49, 51, 53

Step-by-step explanation:

All odd numbers:

49 + 51 = 100

100 + 53 = 153

Answer:

680

Step-by-step explanation:

Answer:

680

Step-by-step explanation:

10 to the  2nd power is 10 times 10 which is 100.

Now, 6.8 times 100 is 680.

Hope this helps you!!

Answer:

7/10>0.07

Step-by-step explanation:

You can turn 7/10 into decimal and its 0.7.

0.7 is greater than 0.07 so you would put a > sign

so the answer is 7/10>0.07

pls mark brainliest

Answer:

The answer is "$3640.58"

Step-by-step explanation:

This question is incomplete, that's why we add another question in the attached file. Please find it.

P = [tex]\$ \ 1300[/tex] and effective per year is = interest rate per year = 7.2  

Total  [tex]\$ \ 1300[/tex] due after 8 years is P+PRT:

[tex]\to 1300(1+0.072 \times 8)\\\\\to 1300(1+ 0.576)\\\\\to 1300(1.576)\\\\\to \$ \ 2048.8[/tex]

[tex]\to Total \ X = \$ \ (7000-2048.8) \\\\[/tex]

[tex]= \$ \ 4951.2 \\\\= X(1 +0.072 \times 5)\\\\=1.36 X \\\\[/tex]

The number of dollars is X [tex]= \frac{4951.2}{1.36} = \$ \ 3640.58[/tex]

Answer:

-13??? weird question... do you mean celcius themometer?

Step-by-step explanation:

Answer:

The integer that represents 13 degrees below 0 is -13°F.

Step-by-step explanation:

This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.

P.S.

This question was asked by somebody else and I answered already so I am not copying the answer!

Hope this helps! :)

Answer:

19

Step-by-step explanation:

Answer:

2(x+4)

Step-by-step explanation:

To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.

Answer: 2(x + 4)

Explanation: If you're asked to factor a polynomial,

the first thing you want to look for is the greatest common factor

for the terms that are involved.

The greatest common factor of 2x and 8 is 2.

So a 2 can factor out.

Inside the parenthses, we have each term divided by

the 2 that factored out of the polynomial.

So we have 2(x + 4).

Answer:397.1....i think

Step-by-step explanation:

Answer:

397.1

Step-by-step explanation:

I used mental math

swear no calculator or work done

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

VALUE OF X:

3x-13+61 = 90

3x+48 = 90

3x = 42

x = 14

MEASURE OF <MNQ:

3x-13

= 3(14)-13

= 42-13

= 29

Answer:

388

Step-by-step explanation:

We need to find the area of the semicircle and parallelogram separately and then combine.

The formula for the area of a semicircle is 1/2(pi*r^2)

r = 12. 12^2 = 144

1/2(pi*144) = 226..1946711 which we can just round to 226

The formula for the area of a parallelogram is bh

b = 18, h = 9. 18*9 = 162.

226+162 = 388

Answer:

Step-by-step explanation:

total area = semi circle + parallelogram

                = (1/2 π 6²)  +  (9 x 18)

                = 56.55  + 162

                = 218.55 sq. units

Answer:

[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x-2\\g(x) = -x^2+5x+12[/tex]

To find: [tex][f(x)]^2-g(x)[/tex]

First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function

Squaring the first function

[tex][f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4[/tex]

Now subtracting g(x) from [f(x)]^2

[tex][f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12[/tex]

Combining alike terms

[tex][f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Hence,

Subtracting g(x) from the square of f(x) gives us:

[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Answer:

[tex]-5x+5[/tex]

Step-by-step explanation:

[tex]5+2x-7x[/tex]

Combine like terms:

[tex]2x-7x+5\\[/tex]

which is

[tex]-5x+5[/tex]

Hope this helps :D

My Answers:

I think the equation you typed may have some typo error but:

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

what is it asking

Step-by-step explanation:

Answer:

[tex]4.5\ \text{s}[/tex]

Step-by-step explanation:

t = Time taken

u = Initial velocity =17 m/s

v = Final velocity

s = Displacement

a = Acceleration

g = Acceleration due to gravity = 9.81 m/s² = a

[tex]v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-17^2}{2\times -9.81}\\\Rightarrow s=14.73\ \text{m}[/tex]

Total height the rock is to fall when it is 8 meters from the ground is [tex]14.73+(31-8)=37.73\ \text{m}[/tex]

[tex]v=u+at\\\Rightarrow t=\dfrac{v-u}{a}\\\Rightarrow t=\dfrac{0-17}{-9.81}\\\Rightarrow t=1.73\ \text{s}[/tex]

Time taken to reach the maximum height is 1.73 s.

[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow 37.73=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{37.76\times 2}{9.81}}\\\Rightarrow t=2.77\ \text{s}[/tex]

Time taken from the maximum height to the point which is 8 m from the ground is 2.77 s.

So, time taken from the moment of the throw to the point 8 m from the ground is [tex]1.73+2.77=4.5\ \text{s}[/tex].

Answer:

w+14,

Step-by-step explanation:

Answer:

David make his first error at Step 3

Step-by-step explanation:

We need to determine the error David made when finding the product of (-2.5)(-8.3)

He did the following steps

Step 1: (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2: = (–8.3)(–2) + (–8.3)(–0.5)

Step 3: = (–16.6) + (–4.15)

Step 4: = –20.75

David made a mistake in Step 3

When we multiply (-1) with (-1) we get + instead of - sign. The correct step 3 would be:

Step 3: =(16.6)(4.15)

Step 4: =20.75

So, David make his first error at Step 3

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

.

Step-by-step explanation:

25) h=11

26). two sides are same = 12cm

27). time = 15 hours

28). veronica travelled = 6+1 = 7 days

29). number of tickets buyed by people each showing : 231

30) ©

Answer:

$11.29. $56.39 divided by 5, which is 20 percent, gives you around 11.287. Round up, and you get $11.29

Step-by-step explanation:

Answer:

11.278 Is the exact answer.

Step-by-step explanation:

Answer:

c.) 2 1/3

Step-by-step explanation:

i know

Answer:

K=5

Step-by-step explanation:

12k-15=35+2k

12k=50+2k

10k=50

k=5

Answer:

[tex]k = 5[/tex]

Step-by-step explanation:

[tex]12k - 15 = 35 + 2k[/tex]

Our goal is to isolate k

[tex]12k - 15 = 35 + 2k\\\;\;\;\;+15 \;\;\;\;\;\;\; +15[/tex]

[tex]12k = 50 + 2k\\-2k \;\;\;\;\;\;\;\; -2k[/tex]

[tex]10k = 50[/tex]

Now we have k isolated to one side. Our final step is to have k be just k, no coefficient. We can do this by dividing each side by the coefficient.

[tex]\large\frac{10k}{10} = \frac{50}{10} \\\\10k\;\div\;10 = k\\50\;\div\;10 = 5\\[/tex]

[tex]\large\boxed {k \;=\;5}[/tex]

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\ Enthusiast[/tex]