Barak is going to buy 550 nails from one of these companies.

Nail Company
50 nails
£4. 15 plus VAT at 20%

Hammer Company
25 nails
£2. 95
Special offer
Buy 100 get 25 free

He wants to buy the nails at the cheaper cost.
Where should he buy the nails, from the Nail Company or the Hammer Company?​

Answer: Tip Total: $ 16.00Total (Bill + Tip): $ 176.00

Which rounding to the dearest ten dollars will be 186.00

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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Answer:c

Step-by-step explanation:move up 3 units on the y axis and create the graph

Answer:

So you have it right. 15 5/7 in

Step-by-step explanation:

C = πd

All you can do now is substitute what has been given

Diameter = 5

Pi = \(\frac{22}{7}\)

C = \(\frac{22}{7}\) * 5

Multiply from across

22 * 5 = 110 ( numerator)

7 * 1 = 7 (denominator)

110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)

Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above

Hope this helped!

Have a supercalifragilisticexpialidocious day!

So you have it right. 15 5/7 in

Step-by-step explanation:

C = πd

All you can do now is substitute what has been given

Diameter = 5

Pi = \frac{22}{7}

7

22

C = \frac{22}{7}

7

22

* 5

Multiply from across

22 * 5 = 110 ( numerator)

7 * 1 = 7 (denominator)

110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)

Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

If X ≤ 1, these side lengths has no sense.

Step-by-step explanation:

We can factored the expression X² + 4X - 5 in a expression in the form:

(X+a) (X+b)

Where a*b = -5 and a+b = 4

That means a could be 5 and b = -1:

(X+5) (X-1)

The side lenghts of the rectangle will not have any sense if ≤ 0. With the factored expression:

(X+5) ≤ 0 ;  If X ≤ -5, these side lengths has no sense.

Also:

(X-1) ≤ 0; If X ≤ 1, these side lengths has no sense.

Both expressions are resumed in:

The work done by the force field F along the line segment from (0, 0, 1) to (2, 1, 0) is 1/3.

The work done by a force field F along a curve C is given by the line integral:

W = ∫C F · dr

where dr is the differential of the position vector r(t) along the curve, and the dot (·) represents the dot product.

In this case, the curve C is the line segment from (0, 0, 1) to (2, 1, 0), which we can parameterize as:

r(t) = <2t, t, 1 - t> for 0 ≤ t ≤ 1.

The differential of r(t) is:

dr = <2, 1, -1> dt

The force field F(x, y, z) = <yz, xz, xy>, so we can evaluate F at each point along the curve to obtain:

F(r(t)) = <t, 2t(1 - t), t>

Finally, we can compute the dot product F · dr:

F · dr = <t, 2t(1 - t), t> · <2, 1, -1> dt

= 2t + 2t(1 - t) - t dt

= 2t - 2t^2 dt

Integrating this expression over the interval [0, 1], we get:

∫C F · dr = ∫0^1 (2t - 2t^2) dt

= [t^2 - (2/3)t^3]0^1

= 1 - (2/3)

= 1/3

Therefore, the work done by the force field F along the line segment from (0, 0, 1) to (2, 1, 0) is 1/3.

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Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

Thus,

x+6 = -5

x= -5-6= -11

and

y+ -2 = 1

y-2=1

y=1+2 =3

Thus the object point coordinates Q is (-11,3 )

in the case when the process is not centered, the process is not capable of meeting design specifications.

To determine if the process is capable of meeting design specifications, we need to compare the process capability index (Cpk) to the specified tolerance.

Cpk is calculated as the minimum of two values: Cpk = (USL - μ) / (3 * σ) and Cpk = (μ - LSL) / (3 * σ), where USL is the upper specification limit, LSL is the lower specification limit, μ is the process mean, and σ is the process standard deviation.

Given that the process is centered with a standard deviation of 0.10 ounces and the specified tolerance is ±0.35 ounces:

a) Process is centered (μ = 12 ounces):

LSL = 12 - 0.35 = 11.65 ounces

USL = 12 + 0.35 = 12.35 ounces

Cpk = min((12.35 - 12) / (3 * 0.10), (12 - 11.65) / (3 * 0.10))

   = min(1.17, 1.17)

   = 1.17

Since Cpk > 1, the process is capable of meeting design specifications.

b) Process is not centered (μ = 11.75 ounces):

LSL = 12 - 0.35 = 11.65 ounces

USL = 12 + 0.35 = 12.35 ounces

Cpk = min((12.35 - 11.75) / (3 * 0.10), (11.75 - 11.65) / (3 * 0.10))

   = min(1.83, 0.33)

   = 0.33

Since Cpk < 1, the process is not capable of meeting design specifications when the average net weight of the cans is 11.75 ounces.

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Answer: Id go with the first answer if its multiple choice

Step-by-step explanation:

they had 3 more plays where they scored 5 points (3x5)

but they lost 3 in the beggining (-12)

Answer: 2.5 < x < 5.5

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

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These are all numerical expressions when we move one fraction to the other side in case of multiplication it gets flipped and when we move a fraction to the other side that is not is multiplication its sign changes.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, - (5/9)m = 1 (11/12).

-(5/9)m = 23/12.

m = 23/12×-9/5.

m = - 207/60.

m = - 69/20.

Given, 28 = - (1/2)k.

28×(-2/1) = k.

k = - 56.

Given, 0.85 = a/-7.2

a = 0.85×-7.2

a = - 6.12

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1. A simplified expression for the volume of the above prism is 15x³ cubic units.

2. Destiny made her mistake in step 1, and the correct solution with steps is shown below.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 3x × 5x ×  x

Volume of rectangular prism = 15x³ cubic units.

Question 2.

Given the following expression, \(\frac{5(x+2)-(8-x)}{2}\)

Step 1: we would open the bracket;

\(\frac{5x\;+\;10\;-\;8\;+\;x}{2}\)

Step 2: we would collect like-terms and evaluate;

\(\frac{5x\;+\;x\;+\;10\;-\;8}{2}\\\\\frac{6x\;+\;2}{2}\)

Step 3: we would split;

\(\frac{6x}{2}+ \frac{2}{2}\)

Step 4: we would divide;

3x + 1

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Answer:

y=x+5;1

Step-by-step explanation:

Hope this helps! =D

Answer:

0

Step-by-step explanation:

It is a horizontal line.

Answer:

undefined

Step-by-step explanation:

The slope of a line is found by

m = (y2-y1)/(x2-x1)

   = (-9 -10)/(-9 - -9)

   = -19/ (-9+9)

   = -19/0

We cannot divide by zero so the slope is undefined

The rate of change of f'(x) at (2,60) is given as follows:

f'(2) = 56.

The rate of change of f '(x) at (2, 60) is obtained by the numeric value of the derivative at x = 2.

The function for this problem is given as follows:

f(x) = 17x² - x³.

Applying the power of x rule, the derivative is given as follows:

f'(x) = 34x - 3x².

(move the exponent to the front, multiplies the constant, and subtract one in the exponent).

At x = 2, the numeric value of the derivative is given as follows:

f'(2) = 34(2) - 3(2)²

f'(2) = 56.

(replace each instance of x by 2 to obtain the numeric value).

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Answer:

the amount after 3 weeks is $37.33

Step-by-step explanation:

Given that

His balance is -$48.82 i.e. overdraft

Now in order to get the positive balance, he plans to deposit the money of $28.55 per week

We need to find out the amount after 3 weeks

So,

= -$48.32 + $28.55 + $28.55 + $28.55

= $37.33

hence, the amount after 3 weeks is $37.33

Answer:

5 more man should be added

Step-by-step explanation:

Inverse Proportion

The time needed to complete a job is inversely proportional to the number of men working on it.

It means the more men working, the less time needed to complete the job.

We know 20 men can complete the job in 15 days. If the job must be completed in 12 days, then more men are needed, thus the number of men needed is:

\(20*\frac{15}{12}=\frac{300}{12}=25\)

25 men are needed which means 25-20 = 5 more men should be added.

5 more man should be added

the pattern goes thus,

11

21

1211

111221

312211

13112221

1113213211

so the pattern that comes next is

1113213211

each successive number is formed by looking at the preceding number and reading out the digits, grouping like digits together and saying the number of identical digits followed by the digit

so,

1 1 is read as one one

the next is two one that's 21

then the next is one two one one thats 1211

then the next is one one one two two one thats 111221

then the next is three one two two one one that's 312211

then the next is one three one one two two two one that's 13112221

then the next is one one one three two one three two one one which is 1113213211 and its the final pattern

what you do is that you write down the way you pronounce it in the next term.

a) To create an orthogonal basis for the vector space spanned by B, we will use the Gram-Schmidt process. The vectors in B are already linearly independent. So, we can create an orthogonal basis for the space spanned by B using the following steps:

i) First, we normalize the first vector in B to obtain a unit vector v1.

v1 = [3/7, -2/7, 6/7]ii) Then, we calculate the projection of the second vector in B, w2, onto v1 as follows:w2_perp = w2 - proj_v1(w2), where proj_v1(w2) = ((w2 . v1)/||v1||^2)v1= [-1/2, 1/2, 0]w2_perp = [1/2, -5/2, -6]iii) Next, we normalize w2_perp to obtain a unit vector v2. v2 = w2_perp/||w2_perp||= [1/√35, -5/√35, -3/√35]So, an orthogonal basis for the vector space spanned by B is {v1, v2} = {[3/7, -2/7, 6/7], [1/√35, -5/√35, -3/√35]}b) To create an orthonormal basis for this vector space, we simply normalize the orthogonal basis vectors from part a.

So, the orthonormal basis for the vector space spanned by B is {u1, u2} = {[3/√49, -2/√49, 6/√49], [1/√35, -5/√35, -3/√35]} = {[3/7, -2/7, 6/7], [1/√35, -5/√35, -3/√35]}

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Step-by-step explanation:

30/14

2.1428571429

hope that helps

Answer:

-5g

Step-by-step explanation:

Multiply -5 and g.

For a Poisson process with rate λ, the interarrival times between events are exponentially distributed with parameter μ = 1/λ. So, the time between the (n-1)-th and n-th event, denoted as Tn, follows an exponential distribution with parameter μ = 1/3 minutes.

Since Sn is the sum of the first n interarrival times, we have:

Sn = T1 + T2 + ... + Tn

The sum of n exponential random variables with parameter μ is a gamma random variable with shape parameter n and scale parameter μ. Therefore, Sn follows a gamma distribution with shape parameter n and scale parameter μ.

In this case, n = 10 and μ = 1/3. So, E[S10] can be calculated as:

E[S10] = n * μ = 10 * (1/3)

= 10/3 minutes.

Therefore, E[S10] = 10/3 minutes.

b. E[S4|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, the time of the 4th event, S4, will be the sum of the first 3 interarrival times plus the time between the 3rd and 4th event.

Using the same reasoning as in part a, we know that the sum of the first 3 interarrival times follows a gamma distribution with shape parameter 3 and scale parameter 1/3. The time between the 3rd and 4th event, denoted as T4, follows an exponential distribution with parameter 1/3.

So, S4 = T1 + T2 + T3 + T4.

Since T1, T2, T3 are independent of T4, we can calculate E[S4|N(1) = 3] as:

E[S4|N(1) = 3] = E[T1 + T2 + T3 + T4]

= E[T1 + T2 + T3] + E[T4]

= (3/3) + (1/3)

= 4/3 minutes.

Therefore, E[S4|N(1) = 3] = 4/3 minutes.

c. Var(S10):

The variance of Sn, Var(Sn), for a Poisson process with rate λ, is given by:

Var(Sn) = n * σ^2,

where σ^2 is the variance of the interarrival times.

In this case, n = 10 and the interarrival times are exponentially distributed with parameter μ = 1/3. The variance of an exponential distribution is \(\mu^2\)So, \(\sigma^2 = \left(\frac{1}{3}\right)^2\)

= 1/9.

Substituting the values into the formula, we have:

Var(S10) = 10 * (1/9)

= 10/9.

Therefore, Var(S10) = 10/9.

d. E[N(4) − N(2)|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, at time t = 2 minutes, there will be 3 - 1 = 2 events that have already occurred.

Now, we need to find the expected value of the difference in the number of events between time t = 4 minutes and t = 2 minutes, given that there were 3 events at t = 1 minute.

Since the number of events in a Poisson process follows a Poisson distribution with rate λt, where t is

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Answer is 20 and 240

Unitary Method :

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Here, for 1 gallons 20 miles are travelled and for 2 gallons 40 miles. so on.

So, here the multiplication factor is 20.

i.e., the miles travelled are 20 times the gallons used.

Now, 1 gallon, 20 miles are travelled, then for 12 gallons, the miles travelled are 20 miles * 12 = 240 miles.

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The population that is most dense is the one for  5000 individuals per 200 square meters

Given the following information:

100 individuals per 100m^2

5000 individuals per200m^2

100,000 individuals per 20,000m^2

15,000 individuals per 10,000m^2

We find the population that is most dense using the formula:

Population density=(No. of people/Land area)

For 100 individuals per 100m^2,

Population density=100/100=1

For 5000 individuals per200m^2

Population density=5000/200=25

For 100,000 individuals per 20,000m^2

Population density=100,000/20,000=5

For 15,000 individuals per 10,000m^2

Population density=15,000/10,000=1.5

Hence, highest population density is 25 for 5000 individuals per200m^2  

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