Two parallel lines are cut by a transversal as shown below

Answer:

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

Step-by-step explanation:

Given - There are many regulations for catching lobsters off the coast

             of New England including required permits, allowable gear, and

             size prohibitions. The Massachusetts Division of Marine Fisheries

             requires a minimum carapace length measured from a rear eye

             socket to the center line of the body shell. For a particular local

             municipality, any lobster measuring less than 3.37 inches must

             be returned to the ocean. The mean carapace length of the  

             lobsters is 4.01 inches with a standard deviation of 2.13 inches.

             A random sample of 60 lobsters is obtained.

To find - What is the probability that the sample mean carapace length

              is more than 4.25 inches?

Proof -

Given that, μ = 4.01, σ = 2.13 , n = 60

Now,

μₓ⁻ = σ / √n

    = [tex]\frac{2.13}{\sqrt{60} }[/tex]

    = [tex]\frac{2.13}{7.746}[/tex] = 0.275

⇒μₓ⁻ = 0.275

Now,

P(X⁻ > 3.37) = 1 - P( X⁻ <  3.37)

                   = 1 - P(z <  [tex]\frac{3.37 - 4.25}{0.275}[/tex] )

                   = 1 - P( z < -3.2 )

                   = 1 - 0.0007

                   = 0.9993

⇒P(X⁻ > 3.37) = 0.9993

∴ we get

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

Answer:

2

Step-by-step explanation:

Answer: X<7

I use Mathpapa to solve these types of problems.

Answer:

slope m=1

Step-by-step explanation:

m=y2-y1/x2-x1

m=5-3/-4-(-6)

m=5-3/-4+6

m=2/2

m=1

Answer:

the correct structure would be B

The correct structure of the compound 3, 4 - dichloro-2-methylheptane is

      CH3

CH3CHCHCHCH2CH2CH3

             Cl  CI

Organic compound are carbon and its other elements.

There are rules in naming an organic elements . They are as follows:

Therefore, the correct structure of the compound 3, 4 - dichloro-2-methylheptane is the B option.

learn more on organic compound here: https://brainly.com/question/14061379

Answer:

when adding fractions make sure the bottom number is the same

so for number 2 make sure both are 4 on the bottom of the fraction by multiplying by 2 maybe 1/4+2/4 that would equal 3/4 not 1

Answer:

Step-by-step explanation:

1/2+1/4=0.75 less than 1

3/6+2/3=1.17 greater than 1

2/4+1/3=10/12 less than 1

mark brainliest thx

Given:

[tex]\cot \theta = -2[/tex]

To find:

The value of [tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex].

Solution:

We know that,

[tex]\cot (\theta -n\pi)=\cot \theta[/tex]         ...(i)

Where n is an integer.

We have,

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex]

Using (i), it can be written as

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=\cot \theta +\cot \theta +\cot \theta [/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3\cot \theta[/tex]

It is given that [tex]\cot \theta = -2[/tex].

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3(-2)[/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=-6[/tex]

Therefore, the value of the given function expression is [tex]-6[/tex].

Answer:

0.6 or 3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{5} -2\frac{3}{5} \\\\\frac{16}{5} -\frac{13}{5} \\\\\frac{3}{5}[/tex]

Answer:

[tex]3(10a + 13b)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

GCF = 3

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]3( \frac{30a}{3} + \frac{39b}{3} )[/tex]

3) Simplify.

[tex]3(10a + 13b)[/tex]

Therefor, the answer is 3 ( 10a + 13b)

Answer:

nuj coae chineza csf

Step-by-step explanation:

csf

Answer:

C.(5,4)

Step-by-step explanation:

Answer:

I can not see the question and Answer choices

Step-by-step explanation:

Answer:

[tex]QT = 10[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 55[/tex]

See attachment for triangle

The perimeter is calculated as:

[tex]Perimeter = QR + RS + QS[/tex]

This gives:

[tex]55 = 3x + 18 + 2x +12[/tex]

Collect like terms

[tex]3x + 2x = 55 - 18 - 12[/tex]

[tex]5x = 25[/tex]

[tex]x = 5[/tex]

From the attachment:

[tex]QT = 2x[/tex]

[tex]QT = 2 * 5[/tex]

[tex]QT = 10[/tex]

Triangle QRS has a perimeter of 55. If RT bisects angle R, then the length of QT is 10 and this can be determined by using the formula of the perimeter of a triangle.

Given :

The perimeter of the triangle QRS is given by:

Perimeter = QR + RS + QS

55 = QR + RS + QS

Now, put the values of sides QR, RS, and QS in the above equation.

55 = 3x + 18 + 2x + 12

55 = 5x + 30

25 = 5x

x = 5

Now, the length of the QT is given by:

QT = 2x

QT = 10

For more information, refer to the link given below:

https://brainly.com/question/919810

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

5 pictures frames

Answer:

[tex]\Huge\boxed{z<1.25}[/tex]

Step-by-step explanation:

Hello There!

Once again we need to isolate the variable using inverse operations

to get rid of the -8.2 we add 8.2 to each side

-8.2+8.2 cancels out

-9.7+8.2=-1.5

now we have

-1.2z>-1.5

now we wan to get rid of the -1.2

to do so we want to divide each side by -1.2

[tex]\frac{-1.2z}{-1.2} =z\\\\\frac{-1.5}{-1.2} =1.25[/tex]

Remember we have to flip the inequality sign because we're dividing by a negative number

we're left with

z<1.25

Answer:

Thanyou for point Ty ilove you

Answer: 7/12

Step-by-step explanation: Given that,

(5/6) - (1/4) = ?

The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,

 = ( 10 - 3 ) / 12

= 7 /12

Answer:

37.5

Step-by-step explanation:

divide 15 by 2/5

Answer:

£644

Step-by-step explanation:

Add 2.40+3.35 then times 112

Answer:

C,

Step-by-step explanation:

:)

Answer:

The answer is B. 40

Answer:

answer it B which is 40..............

The expression would be A^12+B^12. The power of is the phrase to signal where an exponent is used.

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hope it helps

Answer:

8x+4

Step-by-step explanation:

4(2x+1)=8x+4

Answer:

8x + 4

Step-by-step explanation:

4 x 2x = 8x

4 x 1 = 4

therefore its:

8x + 4

Brainliest is appreciated

Answer:

8

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

it's in the hundreds place

2 is in the thousands place and has a value of 2000

3 is in the hundreds place and has a value of 300

4 is in the tenths place and has a value of 40

1 is in the ones place and has a value of 1

when u add it all together u get 2341

hope this helps chu <3

I don't quite get what you want, so here, the TV could be a medium (If that's what you wanted), and the TV could be 24 by 18 inches (If that's what you wanted instead.)

Answer:

35 in.

Step-by-step explanation:

Answer:

When x=3, 10 is a solution.

Step-by-step explanation:

3x+1=10

minus 1 on both sides

3x=9

x=3

Answer:

A=7

Step-by-step explanation:

Answer:

6

Step-by-step explanation: