A national caterer determined that 87% of the people who sampled their food said that it was delicious, A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer's food. If 3 is the sample proportion saying that the food is delicious, what is the mean of the sampling distribution of p? O A. 125 O 3. 0,42 0 c. 0.19 O D. 0.87

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

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Answer:

f= 8 fries c= 3 wings :) lmk if this is correct?

Step-by-step explanation:

relational algebra is a sufficient tool for manipulating data in a distributed system because it provides a uniform and consistent way to access and manipulate data.

Regardless of where it is stored in the system, and because it is a declarative language that abstracts away implementation details, making it easier to maintain and evolve the system.

Relational algebra is a powerful mathematical tool used to manipulate data in a relational database. It provides a way to perform operations on data in a structured and organized manner.

In a distributed system, where multiple nodes store and process data, relational algebra is still sufficient because it provides a uniform and consistent way to access and manipulate data across the entire system.

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A researcher records the following scores for attention during a video game task for two samples. Sample B has the largest standard deviation.

To determine which sample has the largest standard deviation, we need to calculate the standard deviation for both Sample A and Sample B.

Step 1: Calculate the mean (average) of each sample
Sample A: (10+12+14+16+18)/5 = 70/5 = 14
Sample B: (20+24+28+32+36)/5 = 140/5 = 28

Step 2: Calculate the squared differences from the mean in score
Sample A: (4²+2²+0²+2²+4²) = (16+4+0+4+16)
Sample B: (8²+4²+0²+4²+8²) = (64+16+0+16+64)

Step 3: Calculate the average of the squared differences
Sample A: (16+4+0+4+16)/5 = 40/5 = 8
Sample B: (64+16+0+16+64)/5 = 160/5 = 32

Step 4: Take the square root of the average squared differences to find the standard deviation
Sample A: √8 ≈ 2.83
Sample B: √32 ≈ 5.66

Based on the calculated standard deviations, Sample B has the largest standard deviation. So, the answer is Sample B.

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The bearing of an object is the angle of its position to a reference point. It can be determined by considering the clockwise sum of angles starting from the North pole. Thus, the bearing of the buoy to the boat is    \(177^{o}\).

The speed of an object is defined as the rate of distance covered with respect to the time taken.

speed = \(\frac{distance covered}{time taken}\)

Thus, the first distance covered is given by:

Distance covered = speed x time taken

                              = 12 km/h x 2 h

                              = 24 km

The second distance covered is given as:

Distance covered = speed x time taken

                              = 16 km/h x 1 h

                              = 16 km

Applying the Cosine rule to determine distance from the boat to buoy, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2abCos C

But, C = \(50^{o}\) + \(60^{o}\)

          =      \(110^{o}\)

\(c^{2}\)  = \((16)^{2}\) + \((24)^{2}\) - 2(16)(24) Cos \(110^{o}\)

   = 256 + 576 - 768(-0.3420)

  = 832 + 262.656

\(c^{2}\) = 1094.656

c = \(\sqrt{1094.656}\)

c  = 33.0856

c = 33.0 km

Apply the Sine rule to determine the angle at the stopping point of the boat;

\(\frac{b}{Sin B}\) = \(\frac{c}{Sin C}\)

\(\frac{24}{Sin B}\) = \(\frac{33}{Sin 110}\)

Sin B = \(\frac{24*Sin 110}{33}\)

         = 0.6834

B = 43.11

B = \(43^{o}\)

The angle made at the stopping point to the buoy is  \(43^{o}\).

So that,

The bearing of the buoy from the boat = \(180^{o}\)- \(3^{o}\)

                                                                 =  \(177^{o}\)

Therefore, the required bearing of the buoy to the boat is   \(177^{o}\).

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The bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.



The speed of an object is defined as the rate of distance covered to the time taken.

speed = Distance / time

Thus, the first distance covered is given by:

Distance covered = speed x time taken

                              = 12 km/h x 2 h

                              = 24 km

The second distance covered is given as:

Distance covered = speed x time taken

                             = 16 km/h x 1 h

                             = 16 km

Applying the Cosine rule to determine the distance from the boat to buoy, we have:

c² = a² + b² - 2abCos C

   = ( 16 )²  + ( 24 )² -2(16)(24)Cos110

   = 256 + 576 - 768(-0.3420)

   = 832 + 262.656

   = 1094.656

c² = 1094.656

c= √1094.656

c = 33.10 Km

Apply the Sine rule to determine the angle at the stopping point of the boat;

\(\dfrac{b}{SinB}=\dfrac{c}{SinC}\)

\(\dfrac{24}{SinB}=\dfrac{33}{Sin110}\)

Sin B = \(\dfrac{24\times Sin110}{33}\)

B = 43.11°

The angle made at the stopping point to the buoy is 43.11°  .

So that,The bearing of the buoy from the boat = 180 - 3 = 117°

Therefore the bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.



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Answer:

I think the answer is 2/-3

Step-by-step explanation:

-3/2

x   y

Rise/Run

The differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

from the question, we have the following parameters that can be used in our computation:

f(x) = 2x³ + 6x - 1/x + 3eˣ - sin(x)

The derivative of the functions can be calculated using the first principle which states that

if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹

Using the above as a guide, we have the following:

f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

Hence, the differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

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Answer:

It is D

Step-by-step explanation:

You have to divide each side by k to get x by itself. So,

\(x=\frac{w-v}{k}\)

Answer:

D) (w - v)/k

Step-by-step explanation:

xk = w - v

Divide both sides by k to get x by itself.

x = (w - v)/k

This makes your answer

D. (w - v)/k

Answer:

150+93=241

Step-by-step explanation:

I'm not sure if this is correct but i guess because she got 95 and deposited it into her checking she has 95 and judging on if she spent 2 dollars from her savings or checking i assumed it was savings which leaves it with 148 from 100 after depositing 50 - 2 = 148 so basically

edit: nvm i saw the note now im sure but something i dont understand is that if she made 95 how come the answer choices dont say 93 in checking so im guessing you meant 150+43=193

193 is your answer sorry lol took me a while to work this out or Answer choice C

The correct answer is C. $11,250.

To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:

Interest = Principal × Rate × Time

Given:

Principal (P) = $50,000

Rate (R) = 9% = 0.09 (decimal)

Time (T) = 90 days

Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:

Time (T) = 90 days / 360 days = 0.25 (fraction of a year)

Now we can calculate the interest:

Interest = $50,000 × 0.09 × 0.25

Interest = $11,250

Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.

Therefore, the correct answer is C. $11,250.

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Answer:

y=-2/3x+7

Step-by-step explanation:

(4, -1) and (-2, 3)

m=y²-y¹/x²-x¹

m=3-(-1)/(-2)-4

m=4/-6

m=-2/3

y-y=m(x-x1)

y-(-1)=-2/3(x-4)

y+1=-2/3x+8

-1 -1

y=-2/3x+7

Answer:

156

Step-by-step explanation:

Thus, Bao age is 27.

acc to our question-

hence,Thus, Bao age is 27.

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

Step-by-step explanation:

Please find attached photograph. The monomial is a.

a) 19

b) -12

c) 15

d) 18

e) 31

¡Espero que esto te ayude! Avísame si tengo algo mal :)

The greatest common factor of 48 and 72 is 2 x 2 x 2 x 3 so Ryan did not include only common prime factors in the greatest common factor.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

For example in 6 and 12 6 is the highest common factor.

The Prime factorization of 48: 2 x 2 x 2 x 2 x 3

The Prime factorization of 72: 2 x 2 x 2 x 3 x 3

So common factors are ( 2 x 2 x 2)  x 3

Since 3 is the only factor in 48 so Ryan did not include its only common factor he includes 3 x 3 which is not present in the  Prime factorization of 48.

Hence "The greatest common factor of 48 and 72 is 2 x 2 x 2 x 3 so Ryan did not include only common prime factors in the greatest common factor".

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Answer: The answer is D

The expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

To calculate the expected standard deviation of stock A's returns, we first need to calculate the variance. The variance is the average of the squared deviations from the expected return, weighted by the probabilities of each outcome.

Given the information provided:

Outcome Probability Stock A Return

Good 16% 65.00%

Medium 51% 17.00%

Let's calculate the expected return first:

Expected Return = (Probability of Good × Stock A Return in Good) + (Probability of Medium × Stock A Return in Medium)

= (0.16 × 65.00%) + (0.51 × 17.00%)

= 10.40% + 8.67%

= 19.07%

Next, we calculate the squared deviations from the expected return for each outcome:

Deviation from Expected Return in Good = Stock A Return in Good - Expected Return

= 65.00% - 19.07%

= 45.93%

Deviation from Expected Return in Medium = Stock A Return in Medium - Expected Return

= 17.00% - 19.07%

= -2.07%

Now, we calculate the variance:

Variance = (Probability of Good × Squared Deviation in Good) + (Probability of Medium × Squared Deviation in Medium)

= (0.16 × (45.93%^2)) + (0.51 × (-2.07%^2))

= (0.16 × 0.2110) + (0.51 × 0.0428)

= 0.0338 + 0.0218

= 0.0556

Finally, we calculate the standard deviation, which is the square root of the variance:

Standard Deviation = √Variance

= √0.0556

= 0.2357 or approximately 23.57%

Therefore, the expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

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Answer:

We have that:

\(g(x) = \frac{x^2 - 6}{3*x + 10}\)

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

\(g(4) = \frac{4^2 - 6}{3*4 + 10}\)

Now we can just solve this to get:

\(g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2} = 5\)

Answer:

P = 43.3 units

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 56 units²

with b = \(\frac{1}{3}\) h

then

\(\frac{1}{2}\) bh = 56 ( multiply both sides by 2 to clear the fraction )

bh = 112 , so

\(\frac{1}{3}\) h × h = 112 ( multiply both sides by 3 to clear the fraction )

h² = 336 ( take square root of both sides )

h = \(\sqrt{336}\) ≈ 18.3

then b = \(\frac{1}{3}\) h = \(\frac{1}{3}\) × 18.3 = 6.1

the height h from the vertex to the base bisects the base ( altitude ), that is

\(\frac{1}{2}\) b = \(\frac{1}{2}\) × 6.1 = 3.05

this divide the isosceles triangle into 2 right triangles

let the leg of the triangle be x

then using Pythagoras' identity in the right triangle formed

x² = 18.3² + 3.05² = 334.89 + 9.3 = 334.19 ( take square root of both sides )

x = \(\sqrt{334.19}\) ≈ 18.6

Then perimeter (P) is

P = 2x + b = 2(18.6) + 6.1 = 37.2 + 6.1 = 43.3 units

Answer:

43.3 units

Step-by-step explanation:

Base and height of the triangle

\(\text{Area of a triangle}=\rm \dfrac{1}{2}bh\)

where:

Given:

Substitute the given values into the formula and solve for h:

\(\begin{aligned}\text{Area of a triangle} & = \rm \dfrac{1}{2}bh\\\\\implies \rm 56 & = \rm \dfrac{1}{2} \cdot \dfrac{1}{3}h \cdot h\\\\\rm 336 & = \rm h^2\\\\\rm h & = \rm 4\sqrt{21}\:units \end{aligned}\)

Substitute the found value of h into \(\rm b=\dfrac{1}{3}h\) and solve for b:

\(\implies \rm b=\dfrac{1}{3}\cdot 4\sqrt{21}=\dfrac{4\sqrt{21}}{3}\:units\)

Length of one side of the isosceles triangle

\(\begin{aligned}\rm side\:length & =\rm \sqrt{\left(\dfrac{b}{2}\right)^2+h^2}\\\\\ \implies \text{side length}& =\rm \sqrt{\left(\dfrac{4\sqrt{21}}{6}\right)^2+(4\sqrt21})^2}\\\\& =\rm \sqrt{\dfrac{28}{3}+336}\\\\& =\rm \sqrt{\dfrac{1036}{3}}\\\\& = \rm \dfrac{2\sqrt{777}}{3}\:units\end{aligned}\)

Total Perimeter

\(\begin{aligned}\rm Total\:perimeter & = \rm base + 2\:sides\\\\\implies \text{Total perimeter}& = \rm \dfrac{4\sqrt{21}}{3}+2 \cdot \dfrac{2\sqrt{777}}{3}\\\\& = \rm 43.2763939...\\\\& = \rm 43.3\:units\:(nearest\:tenth)\end{aligned}\)

Answer:

its a

Step-by-step explanation:

good luck!!

Answer:

x =3i, -2i

Step-by-step explanation:

did it like a quadriatic formula  

that is what i got so (maybe) the other way of is an answer as well?

Answer:

Yes, because every x-value corresponds to exactly one y-value

Step-by-step explanation:

Answer is for APEX 4.5.3 Test for Algebra 1A Sem 1

Yes, Because every x-value corresponds to exactly one y-value.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

This table represent a relation.

Now, We have;

x = 2, 4, 6, 8, 10

y = 1, 3, 3, 4, 6

Here,  Every x-value corresponds to exactly one y-value.

Hence, This table represent the function.

Thus, We get;

Yes, Because every x-value corresponds to exactly one y-value.

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Answer:

A-$4,900

Step-by-step explanation:

Answer:

The answer is A. $4,900

Step-by-step explanation:

$196 in commissions  => a = 196

s = a / 0.04 = 196 / 0.04 = $4900 = Ann's sales

so the answer for Ann's sales is $4,900

Answer:to find the coordinates of $P$ so that $AP$ to $PB$ is the given ratio, first look for the slope in rise over run form. Then, determine the ratio by thinking of it as dividing into segments.

Step-by-step explanation:

;)

Answer:

27!!

Step-by-step explanation:

1) Find out how much was spent on calls

To find out how much was spent one calls we just have to subtract the bills from the monthly rate

2) Find out how many calls were made

Each call costs $0.30 and $8.10 was sent on calls. To find out how many calls were cost we just need to divide them.

Meaning the customer made 27 calls!

Hope this helps, have a great day!

Answer:

The fraction is 3/10 = .3

Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

Use the given information to set up a proportion and solve for the unknown sales amount:

Commission earned / Sales amount = Commission rate

$21,000 / $300,000 = 0.07

Now we can use this proportion to find the sales amount needed to earn $35,000:

$35,000 / 0.07 = $500,000

Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

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Answer:

24

Step-by-step explanation:

Hakeem is the oldest of three siblings who ages are consecutive integers. If the sum of their ages are 69, find Hakeem age.

It should be noted that:

= 22 + 23 + 24

= 69

Hakeem's age is 24