A plumber has an 8-foot piece of cooper pipe. He needs to cut a 3-foot 10-inche piece of cooper pipe to repair a leak in a sink's water line. How many inches of cooper pipe will he have left after he makes the repair?

Answer:

QIII

Step-by-step explanation:

Answer: c. 0.1743

Step-by-step explanation: Poisson Probability or Poisson Distribution is a discrete distribution that models the number of events ocurring in a given period of time.

The mean, or expected value, of the observed frequencies is:

E(X) = ∑xP(x)

E(X) = 0*3/150 + 1*(10/150) + 2*(15/150) + 3*(23/150) + 4*(30/150) + 5*(24/150) + 6*(20/150) + 7*(13/150) + 8*(8/150) + 9*(4/150)

E(X) = 4.399

The Poisson distribution is calculated by:

P(X = k) = [tex]\frac{mean^{k}.e^{-mean}}{k!}[/tex]

The question asks for the expected frequency of exactly 3 cars:

P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3!}[/tex]

P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3.2.1}[/tex]

P(X = 3) = 0.1743

The expected frequency of exactly 3 cars is 0.1743

Answer:

3bat + 3b² - 6a²t²

Step-by-step explanation:

First you have to expand it to get;

3b(b - at) + 6at(b - at)

Then you can now multiply.

3b² - 3bat + 6bat - 6at²

Group like terms

6bat - 3bat + 3b² -6at²

3bat + 3b² - 6a²t²

okay the answer is attached. i was the first to answer, but brainly decided to delete it >:(

Answer:

A. Time

Step-by-step explanation:

The general formula for an exponential function is shown below:

[tex]F(t) = Ao.b^{kt}[/tex]

where,

Ao = Initial amount

b = growth factor i.e come (1 + r)

r = growth rate

k = Constant

T = Time

Therefore the T describes the time

Hence, the first option is correct

To determine any of the above variable we simply used the above formula so the chances of thh correct answer could be high

Answer:

Regular Pentagon

Step-by-step explanation:

A regular icosahedron is a twenty-faced polyhedron, each face being an equiangular triangle.  Each vertex is joined together by 5 faces, therefore the polygon formed at each vertex is a regular pentagon.

We can also figure out the number of faces at each vertex using Euler's formula

F+V=E+2

F=number of faces = 20

E=number of edges = number of triangular faces * edges/triangle /2

(since each edge is shared between two faces)

= 20*3/2

=30

Number of vertices

= E+2-F = 30+2-20 = 12

So number of edges meeting at each vertex

= 30 / (12/2) = 30/6 = 5

(12/2 because each edge joins two vertices).

See attached figure, courtesy of Wikipedia.

Answer:

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

We apply the inverse Central Limit Theorem.

The mean monthy car payment for 123 residents of the local apartment complex is $624.

So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.

Answer:

98% of  confidence interval for the true population

(0.6326 , 0.7674)

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 250

She surveys 250 individuals and finds that 175 have taken a drug test for work.

sample proportion

                [tex]p = \frac{x}{n} = \frac{175}{250} =0.7[/tex]

level of significance ∝ = 0.05

98% of  confidence interval for the true population is determined by

[tex](p^{-} - Z_{0.02} \sqrt{\frac{p(1-p)}{n} } ,p +Z_{0.02} \sqrt{\frac{p(1-p)}{n} } )[/tex]

Z₀.₀₂ = 2.326

Step(ii):-

98% of  confidence interval for true population is determined by

[tex](0.7 - 2.326\sqrt{\frac{0.7(1-0.7)}{250} } ,0.7 + 2.326 \sqrt{\frac{0.7(1-0.7)}{250} } )[/tex]

( 0.7 -  0.0674 , 0.7 + 0.0674)

(0.6326 , 0.7674)

Conclusion:-

98% of  confidence interval for the true population is determined by

(0.6326 , 0.7674)

Answer:

672 ways

Step-by-step explanation:

The total number of ways the friends were supposed to sit without restrictions would have been = 6!

= 720 possible ways.

If the girs should sit on the first or last sit

The possible arrangement= 2!4!

= 2*24

= 48

But now the two girls should be arranged in such a way that the don't sit on either the first or the last chair.

So the possible way now is= way without restriction - way if the girls are to sit at either first or last sit

= 720-48

= 672

Answer:

672.

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

The given function is

[tex]y=\dfrac{2x+1}{x^2}[/tex]

We need to find the slope of the function when x=4.

Differentiate the given function w.r.t. x.

[tex]\dfrac{dy}{dx}=\dfrac{x^2\dfrac{d}{dx}(2x+1)-(2x+1)\dfrac{d}{dx}x^2}{(x^2)^2}[/tex]    (Using quotient rule)

[tex]\dfrac{dy}{dx}=\dfrac{x^2(2+0)-(2x+1)(2x)}{x^4}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{2x^2-4x^2-2x}{x^4}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{-2x^2-2x}{x^4}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{-2x(x+1)}{x^4}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{-2(x+1)}{x^3}[/tex]

Now substitute x=4 in the above equation.

[tex]\dfrac{dy}{dx}_{x=4}=\dfrac{-2(4+1)}{4^3}[/tex]

[tex]\dfrac{dy}{dx}_{x=4}=\dfrac{-2(5)}{64}[/tex]

[tex]\dfrac{dy}{dx}_{x=4}=\dfrac{-10}{64}[/tex]

[tex]\dfrac{dy}{dx}_{x=4}=-0.15625[/tex]

[tex]\dfrac{dy}{dx}_{x=4}\approx -0.16[/tex]

Therefore, the correct option is C.

Answer:

  f(0) = 1/2

Step-by-step explanation:

At x=0, the inequality tells you ...

  1/2 ≤ 1 -f(0) ≤ 1/2

That is, ...

  1 - f(0) = 1/2

  f(0) = 1/2

  [tex]\boxed{\lim\limits_{x\to 0}{f(x)}=\dfrac{1}{2}}[/tex]

Answer:

y = x² + 6x + 16

= (x² + 6x + 9) - 9 + 16

= (x + 3)² + 7 ← vertex form

Therefore, vertex is (-3, 7) and since the coefficient of (x + 3)² is positive the vertex is a minimum.

Answer:

minimum (3,7)

Step-by-step explanation:

Answer:

hey mate how r u I am good I am new to this app

Answer:

  about 4.63 teaspoons

Step-by-step explanation:

You can write the proportion ...

  (teaspoons)/(fraction of RDA) = 1.75/0.85 = x/2.25

where x represents the unknown number of teaspoons. Multiplying by 2.25 gives you ...

  x = 2.25(1.75/0.85) = 4.632...

About 4.63 teaspoons of vitamin will supply 2.25 times the RDA.

___

That's between 4 5/8 and 4 2/3 teaspoons, roughly 22.8 mL.

Answer:

3×9×4

Step-by-step explanation:

The volume for a box is b×h×w

With a bit of trial and error, you will quickly find out that the height and width, are small numbers.

When you try 3 for the height you will see that it works.

3×3=9 this is the length

the width is one inch more than the height so for

3×9×4=108

Hey there! :)

Answer:

(-1, -3)

Step-by-step explanation:

Use the midpoint formula to derive the coordinates of the midpoint:

[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+ y_{2} }{2} )[/tex]

Plug in the coordinates given:

[tex](\frac{-5+3 }{2}, \frac{2-8 }{2} )[/tex]

Simplify:

[tex](\frac{-2 }{2}, \frac{-6 }{2} )[/tex]

(-1, -3) are the coordinates of the midpoint.

Answer:

[tex]\boxed{Midpoint = (-1,-3)}[/tex]

Step-by-step explanation:

The coordinates are (-5,2) and (3,-8)

M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

M(x,y) = [tex](\frac{-5+3}{2} , \frac{2-8}{2} )[/tex]

M(x,y) = [tex](\frac{-2}{2} , \frac{-6}{2} )[/tex]

M(x,y) = (-1,-3)

Answer:

10.

Step-by-step explanation:

You can use PEMDAS to go through the expression: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. When there are no parentheses or exponents, you should complete multiplication before addition.

2 + 4 * 2 = 2 + (4 * 2) = 2 + 8 = 10

Hope this helps!

Answer:

b

Step-by-step explanation:

Answer:

54 cm²

Step-by-step explanation:

Area of a Rectangle Formula: A = lw

We are given 18 as l and 3 as w, so simply plug it into the formula:

A = 18(3)

A = 54

Answer:

A - 270°

Step-by-step explanation:

The number of degrees has been rotated counterclockwise about the origin should be considered as the 90 degrees.

At the time when the rotation is done with respect to the point so here it should be 90 degrees counterclockwise about the origin. Also, we have to switch x and y and make y to be negative.

Therefore, the first option is correct.

hence, The number of degrees has been rotated counterclockwise about the origin should be considered as the 90 degrees.

Learn more about number here: https://brainly.com/question/24353799

Answer:

The answer is J

Step-by-step explanation:

The answer is J

Answer:

a) If interest rates go up, share prices go down : this will be assigned p→q

b) If Smith has installed central heating, then he has sold his car or he has not paid his mortgage. P → (q∨￢r)

c) Today it will rain or shine, but not both:(p∨q) ∨ ￢(p∧q)

d) If Sam met Jane yesterday, they had a cup of coffee together, or they took a walk in the park.  P → (q∨r)

e) My sister wants a black and white cat. p∧q

Step-by-step explanation:

A statement  is said to be propositionally logical if the statement that can be assigned either true or false.

∧and

∨or

¬not

→implies

a) If interest rates go up, share prices go down : this will be assigned p→q implies because the occurrence of event (share prices go down) depends on the possibility of the other event happening.

b) If Smith has installed central heating, then he has sold his car or he has not paid his mortgage. P → (q∨￢r) : either of the two of the other events (i.e. he has sold his car or he has not paid his mortgage ) can only occur if the first event occur

c) Today it will rain or shine, but not both:(p∨q) ∨ ￢(p∧q) : either of the events can occur but not both i.e. they are mutually exclusive

d) If Sam met Jane yesterday, they had a cup of coffee together, or they took a walk in the park.  P → (q∨r) either of the two of the other events (i.e. they had a cup of coffee together or they took a walk in the park ) can only occur if the first event (Sam met Jane yesterday) occur

e) My sister wants a black and white cat. p∧q : both events can only occur together

Answer:

(a)x=128 degrees

(b)[tex]\angle APD\neq 116^\circ[/tex]

Step-by-step explanation:

[tex]\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ[/tex]

(a) Now:

[tex]\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ[/tex]

(b)

[tex]\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ[/tex]

[tex]\angle APD\neq 116^\circ[/tex]

Answer:

Step-by-step explanation:

f(X)=3x-12

To find f(2) substitute the value in the bracket which is 2 into f(x)

That's

f(2) = 3(2) - 12

= 6 - 12

= - 6

Hope this helps you

Answer:

-6

Step-by-step explanation:

Answer: Evaluate the Function, right?

Hello!

~~~~~~~~~~~~~~~~~~

A) 4x = -4 [x=-1] =

4x = -4 =

x = -1 = x = -1

( The steps : Substitute the given value into the function and evaluate.)

B) 2(x-3) =-12 [x=3] =

2 ( x - 3) = -12 = x = -3

x = 3 = x = 3

( The steps : Substitute the given value into the function and evaluate.)

C) 8x - 4x = 24 [x = 1/2] =

8x - 4x = 24 = x = 6

x = 1/2 = x = 1/2

( The steps : Substitute the given value into the function and evaluate.)

D) 9x - 4x = 24 [x=18] =

9x - 4x = 24 = x = 24/5

x = 18 = x = 18

( The steps : Substitute the given value into the function and evaluate.)

~~~~~~~~~~~~~~~~~~

Step-by-step explanation: All the steps are the same. Substitute the given value into the function and evaluate.

Hope this helped you!

Answer:

4 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + (sqrt(39)^2 = c^2

9 + 39 = c^2

48 = c^2

Take the square root of each side

sqrt(48) = sqrt(c^2)

sqrt(16*3) = c

sqrt(16) sqrt(3) = c

4 sqrt(3) = c

Answer:

paper = $4 and stapler = $7

Step-by-step explanation:

let p represent paper and s represent stapler, then

3p + 4s = 40 → (1)

5p + 6s = 62 → (2)

Multiplying (1) by 5 and (2) by - 3 and adding will eliminate p

15p + 20s = 200 → (3)

- 15p - 18s = - 186 → (4)

Add (3) and (4) term by term to eliminate p

2s = 14 ( divide both sides by 2 )

s = 7

Substitute s = 7 into either of the 2 equations and evaluate for p

Substituting into (1)

3p + 4(7) = 40

3p + 28 = 40 ( subtract 28 from both sides )

3p = 12 ( divide both sides by 3 )

p = 4

Thus package of paper costs $4 and stapler costs $7

Answer:

There is no real number that can satisfy this equation

Step-by-step explanation: