a 9-foot roll of waxed paper costs $2.16. What is the price per inch?

Answer:

0.001km

1km is 1000m

So, 1m is 1m divided by 1000km

Which gives 0.001km

There are 0.001 kilometres in 1 metre.

1000 metre =1 kilometre

1 metre=1/1000 kilometre

Answer:

check the answer

Step-by-step explanation:

find the answer in the attached file

Answer:

52630

Step-by-step explanation:

Simplify into numbers.

30 + 2000 + 40000 + 600 + 10000

Add.

52630

Answer:

The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

Step-by-step explanation:

To find : The number 18 is a counterexample for which of the following conditional statements?

Solution :

For a conditional statement to be true then it is true for all cases that satisfy the condition.

A counterexample is given to prove a conditional statement false.

Now, Examine all the conditions

A. If a number is divisible by 2, it is even.

18 is even and divisible by 2 - True

B.  If a number is odd, then it is not divisible by 2.

18 is not odd so it is divisible by 2 - True

C. If a number is even, then it ends with 0, 2, 4, 6, or 8.

18 ends with 8 so it is even - True

D. If a number is divisible by 2, then it is also divisible by 4.

18 is divisible by 2 but 18 is not divisible by 4 - False

Therefore, The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

Answer:

Hey there!

The solution is (1, 2) because that is where the lines intersect.

Hope this helps :)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{64}}}}}[/tex]

Step-by-step explanation:

If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2ⁿ

Given,

N = { 1 , 42 , 65 , 12 , 31 , 27 }

where n ( total number of elements ) = 6

So, the number of possible subsets of set N :

= 2ⁿ

= 2⁶

= 2 × 2 × 2 × 2 × 2 × 2

= 64

Hope I helped!

Best regards!!

Answer: 1/5, 1/2, 0.

Step-by-step explanation:

given data:

no of cameras = 6

no of cameras defective = 3

no of cameras selected = 2

Let p(t):=P(X=t)

p(2)=m/n,

m=binomial(3,2)=3!/2!= 3

n=binomial(6,2)=6!/2!/4! = 15

p(3)= 3/15

= 1/5.

p(1)=m/n,

m=binomial(6,1)*binomial(2,2)=6!/1!/4!*2!/2!/0!= 7.5

n=binomial(6,2)= 15

p(2)= 7.5/15

= 1/2

p(0)=m/n,

m=0

p(0)=0

Answer:

a.

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

b. The expected variable value of X; E(X) = 1

Step-by-step explanation:

Given that:

number of cameras = 6

numbers of defective  = 3

the probability of defective camera p = 3/6 = 0.5

sample size n = 2

Then X = {0,1,2}

Suppose X is the given variable that represents the number of defective cameras in the sample.

∴

X [tex]\sim[/tex] Bin (n =2, p = 0.5)

The probability mass function of binomial distribution can be computed as :

[tex]P(X =x) = (^n_x) p^x (1-p)^{n-x}[/tex]

For  ;

x = 0

The probability P(X=0)  [tex]= (^2_0) 0.5^0 (1-0.5)^{2-0}[/tex]

[tex]P(X=0) = \dfrac{2!}{0!(2-0)!} \times 1 \times 0.5^2[/tex]

[tex]P(X=0) =1\times 1 \times 0.25[/tex]

[tex]P(X=0) = 0.25[/tex]

For :

x = 1

The probability P(X=1)  [tex]= (^2_1) 0.5^1 (1-0.5)^{2-1}[/tex]

[tex]P(X=1) = \dfrac{2!}{1!(2-1)!} \times 0.5^1 \times 0.5^1[/tex]

[tex]P(X=1) =2 \times 0.5 \times 0.5[/tex]

[tex]P(X=1) =0.5[/tex]

For :

x = 2

The probability P(X=2)  [tex]= (^2_2) 0.5^2 (1-0.5)^{2-2}[/tex]

[tex]P(X=2) = \dfrac{2!}{2!(2-2)!} \times 0.5^2 \times 0.5^0[/tex]

[tex]P(X=2) =1 \times 0.5^2 \times 1[/tex]

[tex]P(X=2) =0.25[/tex]

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

The expected variable value of X can be computed as:

E(X) = np

E(X) = 2 × 0.5

E(X) = 1

Answer:

10:25

Step-by-step explanation:

mow the lawn 1:10

trim bushes: 0:30

put down mulch: 0:35

shower: 0:20

Total time = 1:10 + 0:30 + 0:35 + 0:20 = 1:95 = 2:35

She needs 2 hours and 35 minutes to do everything.

1:00 p.m. = 13:00

13:00 - 2:35 = 12:60 - 2:35 = 10:25

She should start work at 10:35 a.m.

Answer:

i think it is rational but if u guess u have a 50/50 chance

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

I believe the answer is rational because it’s a decimal and goes with the rational category.

Answer:

x+5y+2z sry if itss wrong lol

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

The area of one of the triangles is 1/2*5*3

The area is 7.5, but there are 2 triangles so the combined area is 15

The area for whole rectangle is 7*(5+3+5)=7*13=91

So the total area is 91+15= 106

Answer:

P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴

Step-by-step explanation:

Given:

f(x) = ln(x)

n = 4

c = 3

To find:

nth Taylor polynomial for the function, centered at c

Solution:

The Taylor series for f(x) = ln x centered at 3 is:

[tex]P_{n}(x) = f(c) + \frac{f'(c)}{1!}(x-c)+\frac{f''(c)}{2!}(x-c)^{2} +\frac{f'''(c)}{3!}(x-c)^{3}+...+\frac{f^{n} (c)}{n!}(x-c)^{n}[/tex]

Since c = 3 So,

[tex]P_{4}(x) = f(3) + \frac{f'(3)}{1!}(x-3)+\frac{f''(3)}{2!}(x-3)^{2} +\frac{f'''(3)}{3!}(x-3)^{3}+...+\frac{f^{n} (3)}{n!}(x-3)^{n}[/tex]

Now

f(3) = ln 3

f'(x) = 1/x ⇒ f'(3) = 1/3

f''(x) = -1/x² ⇒ f''(3) = -1/3² = -1/9

f'''(x) = 2/x³  ⇒ f'''(3) = 2/3³ = 2/27

f[tex]^{(4)}[/tex] (x) = -6/x⁴ ⇒ f[tex]^{(4)}[/tex] (3) = -6/3⁴ = -6/81 = - 2/27

So Taylor polynomial for n=4 is:

P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴

Answer

Kelvin 223  669 < 356  

Lori 55                165 < 356  

Vanessa 265  795 < 356  

Devon 172          516 < 356  

Celia 112           336 < 356

Step-by-step explanation:

Answer:

9/14

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean value μ = 205  , standard deviation of population σ = 25

no of people n = 40

standard deviation of sample of 40 people = σ / √n

σ₁ = 25 / √ 40 = 3.95

probability between 200 and 205

P ( 200 < X < 205 ) = P ( Z= (210 - 205)  / 3.95  -  P ( Z= (200 - 205)  / 3.95

= P ( Z = + 1.26 ) - P ( - 1.26 )

= .8962 - .1038

= .7924

Probability is 79.24 % .

Answer:

(B) {6,6,7}

Step-by-step explanation:

A criterion to determine if each triplet represents a triangle is the Law of Cosine, which states that:

[tex]a^{2} = b^{2}+c^{2}-2\cdot b \cdot c \cdot \cos \theta[/tex]

Where [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are sides of the triangle and [tex]\theta[/tex] is the angle opposite to side [tex]a[/tex]. Now, let is clear the cosine function:

[tex]2\cdot a \cdot b\cdot \cos \theta = b^{2}+c^{2}-a^{2}[/tex]

[tex]\cos \theta = \frac{b^{2}+c^{2}-a^{2}}{2\cdot b \cdot c}[/tex]

Cosine is a bounded function between -1 and 1, a triplet corresponds to a triangle if and only if result is located between upper and lower bounds. Now let is evaluate each triplet:

a) [tex]a = 2[/tex], [tex]b = 5[/tex], [tex]c = 9[/tex]

[tex]\cos \theta =\frac{5^{2}+9^{2}-2^{2}}{2\cdot (5)\cdot (9)}[/tex]

[tex]\cos \theta = 1.133[/tex] (Absurd)

The triplet does not represent a triangle.

b) [tex]a = 6[/tex], [tex]b = 6[/tex], [tex]c = 7[/tex]

[tex]\cos \theta =\frac{6^{2}+7^{2}-6^{2}}{2\cdot (6)\cdot (7)}[/tex]

[tex]\cos \theta = 0.583[/tex] (Reasonable)

The triplet represents a triangle.

c) [tex]a = 6[/tex], [tex]b = 4[/tex], [tex]c = 2[/tex]

[tex]\cos \theta = \frac{4^{2}+2^{2}-6^{2}}{2\cdot (4)\cdot (2)}[/tex]

[tex]\cos \theta = -1[/tex] (Absurd)

The triplet does not represent a triangle, but a straight line.

d) [tex]a = 7[/tex], [tex]b = 8[/tex], [tex]c = 1[/tex]

[tex]\cos \theta = \frac{8^{2}+1^{2}-7^{2}}{2\cdot (8)\cdot (1)}[/tex]

[tex]\cos \theta = 1[/tex] (Absurd)

The triplet does not represent a triangle, but a straight line.

Hence, the correct answer is B.

Answer:

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

Step-by-step explanation:

matching input / output values.

insert each values into the equation.

1.  x             y = (x)/2  + 1

2.  2            y = (2)/2  + 1      y = 2

3.  4            y = (4)/2  + 1      y = 3

4.  7            y = (7)/2  + 1      y = 4.5

5.  9            y = (9)/2  + 1      y = 5.5

therefore,

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

i hope the above solution is what you are lookin'

Answer: -0.64

Step-by-step explanation:

We know that the coefficient of determination  in a simple linear regression model is denoted by [tex]r^2[/tex], which gives the proportion of the variance in the dependent variable that is predictable from the independent variable.

Given, the coefficient of determination in a simple linear regression model is 64%.

i.e.

[tex]r^2= 0.64\\\\\Rightarrow\ r=\sqrt{0.64}=\pm 0.64[/tex]

As there is negative relation between the dependent and independent variables.

Then, the correlation coefficient = -0.64

Answer:

Step-by-step explanation:

Given the equation [tex]2\sin^2(x) = 1 \\[/tex], we are to find all the values of x in the interval  [0, 2π] that satisfies the equation.

Simplifying the equation:

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

Square both sides of the equation;

[tex]\sqrt{sin^2x } = \sqrt{\frac{1}{2} } \\\\sin(x) = \sqrt{0.5}\\ \\sin(x) = 0.7071\\\\x = sin^{-1}0.7071\\\\x \approx 45^0[/tex]

The general formula for sin(x)  is x = nπ + (-1)ⁿ∝ where n = 0, 1, 2, 3...

Since ∝ = 45° = π/4.

x = nπ + (-1)ⁿπ/4

when n = 1

x = π + (-1)¹π/4

x =  π - π/4

x = 3π/4

Hence the values of x within the given interval are π/4 and 3π/4

Answer:

the answer is the letter A

Answer:

A

Step-by-step explanation:

It's A because -6 * 2 equals -12 which is less than zero

Step-by-step explanation:

A = 280² ft²

A = (200 + 80)² ft²

A = [200² + 2(200)(80) + 80²] ft²

A = (40000 + 32000 + 6400) ft²

A = 78400 ft²

The required area of the dog park using polynomial is 6771204 feet².

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

Given that,

The area of the park = square of the side length a = 2802 feet².

To find the area of the park, using polynomial use

Formula of area of square = (a)²

= (2802)²

= (2800 + 2)²

Use formula (a + b)² = a² + b² + 2ab

= (2800)² + (2)² + 2 x 2800 x 2

= 6,760,000 + 4 + 11200

= 6771204 feet²

The required area of the dog park is 6771204 feet².

To know more about Polynomial on:

https://brainly.com/question/11536910

#SPJ3

33 animals at the shelter are dogs.

Answer:

yes

Step-by-step explanation:

A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.

Since q can be any integer apart from zero, it means that all integers are rational numbers i.e for q = 1.

Hence 2 which can be written as fraction as 2/1 is a rational number since the denominator (q = 1) is a non zero number

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.

Step-by-step explanation:

Answer:

7 movies

Step-by-step explanation:

Given

membership cost for 1 month = $10

rent for 1 movie = $2

Maximum money to be spent by a member = $24

Let the no. of movie rented by x

Thus, total rent for x movies = x* rent for 1 movie = x*$2 = $2x

Total spending for 1 month = membership cost for 1 month +  total rent for x        movies

Total spending for 1 month = 10 +2x

Given that he can spend at most $24

Total spending for 1 month <= 24

10 + 2x <= 24

2x <= 24-10

2x <= 14

x <= 14/2

x <= 7

Thus, movies rented can be less than or equal to 7.

since we have to find the maximum movies rented in 23, it will be 7

Thus, at most 7 movies can be rented.

Answer:

(3,-5)

Step-by-step explanation:

To find the x coordinate of the  midpoint, add the  x coordinates together and divide by 2

The x coordinate is

(x1+x2)/2

We know one point and the midpoint

( -1+x)/2 = 1

Multiply by 2

-1 +x = 2

Add 1

x =2+1

x=3

To find the y coordinate of the midpoint, add the  y coordinates together and divide by 2

The y coordinate is

(y1+y2)/2

We know one point and the midpoint

(3+y)/2 = -1

Multiply by 2

3+y = -2

Subtract 3

y = -2-3

y =-5

The other endpoint is (3,-5)

Answer:

B(3, -5)

Step-by-step explantion

We know that these formulas can be used to find the mid point between 2 points on a graph

[tex]\frac{a_{1} +b_{1}}{2}= c_{1}\\ \frac{a_{2} +b_{2}}{2} =c_{2}[/tex]

Now we plot these points in

A(-1, 3), C(1, -1)

[tex]\frac{-1+b_{1}}{2} =1 \\\frac{3+b_{2}}{2} =1[/tex]

And we can find that

[tex]b_{1}= 3\\b_{2}=-5[/tex]

Therefore we get the answer of (3, -5)

Hope that helped you with your problem!! :)

Answer:

attached below is the missing part of the question and the solution

A) 60%, 40%

B) 25%

C) 60%

Step-by-step explanation:

a) The accuracy of always-taken for this sequence of branch outcomes = 60%

The accuracy of always -not-taken for this sequence of branch outcomes = 40%

b) The accuracy of the 2-bit predictor for the first four branches assuming that the predictor starts off in the bottom left state = 25%

C)the accuracy of the 2-bit predictor if this pattern is repeated forever = 60% ( was stopped after the fourth iteration because the fourth and third iterations are the same)  =

Answer:

Total number of ways= 144 ways

Step-by-step explanation:

Number of ways 3 can order chicken

= 3!

= 3*2*1

= 6

Number of ways 4 can order steak

= 4!

= 4*3*2*1

= 24

Number of ways 1 can order lobster

= 1!

= 1

Total number of ways= 24*6*1

Total number of ways= 144 ways

The total number of different ways is 144.

Since If eight persons are having dinner together.And, there is three order chicken, four order steak, and one order lobster

Now

Number of ways 3 can order chicken

= 3!

[tex]= 3\times 2\times 1[/tex]

= 6

Now

Number of ways 4 can order steak

= 4!

[tex]= 4\times 3\times 2\times 1[/tex]

= 24

Now Number of ways 1 can order lobster

= 1!

= 1

So, total should be

[tex]= 24\times 6\times 1[/tex]

= 144 ways

Learn more about person here: https://brainly.com/question/9222927

Answer:

15

Step-by-step explanation:

25-10=15

You take out 10 cents and u have 15 left

Answer:

2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.

Step-by-step explanation: