12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that the difference between the sample estimate and the actual market share for its new product was no more than 3%, what sample size would be needed?\

Answer:

a) Real range of employees hired by each organization surveyed = 56

b) The cumulative percent of "new" employees with the lowest tenure =        30%

Step-by-step explanation:

a) Note: To get the real range of employees hired by each organization, you would do a head count from 34 to 89 employees. This means that this can be done mathematically by finding the difference between 34 and 89 and add the 1 to ensure that "34" is included.

Real range of employees hired by each organization surveyed = (89 - 34) + 1

Real range of employees hired by each organization surveyed = 56

b) It is clearly stated in the question that  the "new" employee status was mostly reserved for the 30% of employees in the organization with the lowest tenure.

Therefore, the cumulative percent of "new" employees with the lowest tenure = 30%

Answer:

42º

Step-by-step explanation:

You can start by setting up the equations that are given in the stem of the problem: a=.5b, c=b-50, a+b+c=180. Then plug in the values of b in relation to the other values into the equation a+b+c=180. This will give you (.5b)+b+(b-50)=180. By expanding this and combining like terms, we will get 2.5b=230. By dividing each side by 2.5, we get b=92. Then, referencing the first equations, a=.5(92)=46, and c=92-50=42. The smallest of all of these is c, 42.

Answer:

No value of k will make AB=BA

Step-by-step explanation:

[tex]A=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right), $ $B=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right) \\\\\\AB=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)=\left(\begin{array}{ccc}3*2+2*-3&3*6+2*k\\-1*2+2*-3&-1*6+2k\end{array}\right)=\left(\begin{array}{ccc}0&18+2k\\-8&-6+2k\end{array}\right)[/tex]

[tex]BA=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)=\left(\begin{array}{ccc}0&16\\-6&-6+2k\end{array}\right)[/tex]

We can see that [tex]AB \neq BA[/tex]. Therefore, there is no value of k that will make it equal. In general, matrix multiplication is not commutative.

Answer:

d on edge

Step-by-step explanation:

-3(x+4)(x-2)/x^2-1`

The equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

The x-intercepts of the rational function are given as: -4 and 2.

This means that, the zeroes of the function are (x + 4) and (x -2)

Multiply the zeroes of the function

[tex]f(x) = (x + 4)(x -2)[/tex]

The vertical asymptotes of the rational function are given as: 1 and -1.

This means that, the denominator is the product of (x + 1) and (x -1)

So, we have:

[tex]f(x) = \frac{(x + 4)(x -2)}{(x + 1)(x-1)}[/tex]

Express the denominator as the difference of two squares

[tex]f(x) = \frac{(x + 4)(x -2)}{x^2-1}[/tex]

Lastly, the horizontal asymptote is given as y = -3.

So, the actual function is:

[tex]f(x) = y \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]

Substitute -3 for x

[tex]f(x) = -3 \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]

This gives

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

Hence, the equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

Read more about rational functions at:

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Answer:

[tex](\dfrac{94}{100})^{10} \ or\ \approx 0.54[/tex]

Step-by-step explanation:

Given :

Probability that a house in an urban area will be burglarized,

[tex]p =6\%=\dfrac{6}{100}[/tex]

To find:

Probability that none of the houses randomly selected from 10 houses will be burglarized = ?

[tex]P(r=0) =?[/tex]

Solution:

This question is related to binomial distribution where:

[tex]p =\dfrac{6}{100}[/tex]

[tex]\Rightarrow[/tex] Probability that a house in an urban area will not be burglarized,

[tex]q =1-6\%=94\%=\dfrac{94}{100}[/tex]

Formula is:

[tex]P(r=x)=_nC_xp^xq^{n-x}[/tex]

Where n is the total number of elements in sample space and

x is the number selected from the sample space.

Here, x = 10 and

x = 0

[tex]\therefore P(r=0)=_nC_0p^0q^{10-0}\\\Rightarrow 1 \times (\dfrac{6}{100})^0\times (\dfrac{94}{100})^{10}\\\Rightarrow 1\times (\dfrac{94}{100})^{10}\\\Rightarrow (\dfrac{94}{100})^{10}\\\\\Rightarrow (0.94)^{10}\\\Rightarrow \approx 0.54[/tex]

Answer:

2 to the 3rd power,

2*2*2

4 to the 3rd power,

4*4*4

Step-by-step explanation:

The "3rd power" means how many times the number given to it would be multiplied. Aka, 2 to the 4th power would mean 2 times 2 times 2 times 2, (2 four times).

Answer:

plane

Step-by-step explanation:

Answer:

D. Plane

Step-by-step explanation:

A plane extends in two dimensions. This figure is a plane. It is not a point, a segment or a ray.

Answer:

x=2

Step-by-step explanation:

x + 7 = 6x - 3

Subtract x from each side

x+7-x = 6x-x

7 = 5x-3

Add 3 to each side

7+3 = 5x-3+3

10 =5x

divide by 5

10/5 = 5x/5

2 =x

Answer:

x= 2

hope it helps!

Step-by-step explanation:

x + 7 = 6x - 3

Bring all the variables to one side

So get 6x to the other side

x+7-6x = -3

-5x +7 = -3

Take 7 to the other side

-5x= -3 -7

-5x = -3 + -7

-5x = -10

x = -10/-5

minus n minus becomes plus

x= 10/5

= 2

Answer:

n = 296

Sample size n = 296

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

x+/-M.E

M.E = z√(p(1-p)/n)

Making n the subject of formula;

n = (p(1-p)/(M.E/z)^2) .....1

Given that;

Proportion p = 0.26

Number of samples n = ?

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values into equation 1;

n = (0.26(1-0.26))/((0.05/1.96)^2)

n = 295.649536

n = 296

Sample size n = 296

Answer:

7.7

Step-by-step explanation:

The area of the wall is 4 * 2 = 8.

The radius of each clock is 0.3 / 2 = 0.15.

The area of all 4 circles is 4 * (πr²) = 4 * 3.14 * 0.15² = 0.3.

8 - 0.3 = 7.7

Answer:

6.9

Step-by-step explanation:

Total area of the wall is 4 x 2 =  8

Area for a circle is π x radius^2

Therefore total area of 4 clocks = 4 (π x 0.3^2)

Which is: 1.13...

Now we take away this answer from the area of the wall:

8 - 1.13... = 6.9 (1 d.p)

Answer:

Ok, in a deck of 52 cards we have:

13 clubs, 13 diamonds, 13 hearts, and 13 spades.

For this problem, we assume that the probability of selecting a card at random is the same for all the cards,  so each card has a  probability of 1/52 of being selected.

then the probability of drawing a given outcome, is equal to the number of times that the outcome appears in the deck divided the number of cards.

a) probability of randomly selecting a diamond or club.

in the 52 cards deck, we have 13 diamonds and 13 clubs, so the probability of drawing a diamond or a club is equal to:

P = (13 + 13)/52 = 26/52 = 0.5

b) Compute the probability of randomly selecting a diamond or club or heart.

Same reasoning as before, here we have 13 + 13 + 13 = 39 possible options, so the probability is:

p = 39/52 = 0.75.

c)  Compute the probability of randomly selecting a three or club.

we have 13 club cards, and in the deck, each number appears 4 times, so we have 4 cards with a number 3 on them.

But one of those 3's is also a club card, so we already counted it in the 13 club cards, then the number of possible options here is:

13 + 4 - 1 = 13 +3 = 16

then the probability is:

p = 16/52 = 0.31

To solve the questions we must know the concept of Probability.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Explanations

​(a) Compute the probability of randomly selecting a diamond or club.

The number of diamond cards = 13

The number of club cards = 13

The total number of diamond and club cards = 26

[tex]\rm{Probability(Diamond\ or\ club)=\dfrac{Number\ of\ diamond\ or\ club\ cards}{Total\ Number\ of\ cards}[/tex]

[tex]\rm{Probability(Diamond\ or\ club)=\dfrac{26}{52}=\dfrac{1}{2} = 0.5 = 50\%[/tex]

​(b) Compute the probability of randomly selecting a diamond or club or heart. ​

The number of diamond cards = 13

The number of club cards = 13

The number of heart cards = 13

The total number of diamond, heart, and club cards = 39

[tex]\rm{Probability(Diamond\ or\ club\ or\ hearts)=\dfrac{Number\ of\ diamond\ or\ club\ or\ hearts\ cards}{Total\ Number\ of\ cards}[/tex]

[tex]\rm{Probability(Diamond\ or\ club\ or\ hearts)=\dfrac{39}{52}=\dfrac{3}{4} = 0.75 = 75\%[/tex]

(c) Compute the probability of randomly selecting a three or club.

The number of three cards = 4

The number of club cards = 13

The total number of diamond and club cards = 13+4 - 1 =16

we reduced a card because card three of the club is calculated twice.

[tex]\rm{Probability(three\ or\ club)=\dfrac{Number\ of\ three\ or\ club\ cards}{Total\ Number\ of\ cards}[/tex]

[tex]\rm{Probability(three\ or\ club)=\dfrac{16}{52}=0.3077 = 30.77\%[/tex]

Learn more about Probability:

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Consider a homogeneous machine of four linear equations in five unknowns are all multiples of 1 non-0 solution. Objective is to give an explanation for the gadget have an answer for each viable preference of constants on the proper facets of the equations.

Yes, it's miles true.

Consider the machine as Ax = 0. in which A is 4x5 matrix.

From given dim Nul A=1. Since, the rank theorem states that

The dimensions of the column space and the row space of a mxn matrix A are equal. This not unusual size, the rank of matrix A, additionally equals the number of pivot positions in A and satisfies the equation

rank A+ dim NulA = n

dim NulA =n- rank A

Rank A = 5 - dim Nul A

Rank A = 4

Thus, the measurement of dim Col A = rank A = five

And since Col A is a subspace of R^4, Col A = R^4.

So, every vector b in R^4 also in Col A, and Ax = b, has an answer for all b. Hence, the structures have an answer for every viable preference of constants on the right aspects of the equations.

Answer:

2x/3 + 2= 16

=21

Step-by-step explanation:

Standard form:

2

3

x − 14 = 0  

Factorization:

2

3 (x − 21) = 0  

Solutions:

x = 42

2

= 21

Answer:

The answer is C.

Step-by-step explanation:

Recall SohCahToa, where

[tex]\displaystyle \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex].

In the triangle, the opposite (to angle θ) is [tex]6[/tex], while the adjacent is [tex]2\sqrt{5}[/tex].

By substitution:

[tex]\displaystyle \tan(\theta)=\frac{6}{2\sqrt5}[/tex]

Simplify:

[tex]\displaystyle \frac{6}{2\sqrt{5} } \cdot\frac{\sqrt{5} }{\sqrt{5}} =\frac{6\sqrt{5}}{2(5)} =\frac{6\sqrt{5}}{10}=\frac{3\sqrt{5} }{5}[/tex]

The answer is C.

Answer:

101-120=4

Step-by-step explanation:

All that you need to do is count how many data points fall into this category. In this case, there are four data points that fall into the category of 101-120 pushups

Therefore, the answer to the blank is 4. If possible, please mark brainliest.

Answer:

There are 4 numbers between 101 and 120.

Step-by-step explanation:

101-120: 105, 111, 111, 113 (4 numbers)

Answer:

1:4

Step-by-step explanation:

Answer:

1 : 4

Step-by-step explanation:

5:20

Divide each side by 5

5/5 : 20/5

1 : 4

Answer:

y = 10 + 2x

or

y = 2x + 10

Step-by-step explanation:

She works a fixed 10 hours each week, so we start with

y = 10

Now she adds 2-hour increments. She can have 0, 1, 2, or another number of increments. x represents the number of increments. Since each increment is 2 hours, 2x represents the number of hours added by the increments. Now we add 2x to the fixed number of hours.

y = 10 + 2x

or

y = 2x + 10

Answer:

y = 2x + 10

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It is not divisible by 6, for if you divide by 6, you will get a non natural number,

It is obviously divisible by 2.

So, No.

Answer:

no

Step-by-step explanation:

only by 2

614/2 = 307

614/6 = 102.33

Answer:

3481π or 10935.884

Step-by-step explanation:

Area = πr^2

Area = 3481π or 10935.884

Answer:

The expression for the height of the plant is: f(x) = 8*(1.16)^x;

The value of f(x+1)/f(x) is 1.16.

Step-by-step explanation:

Since Diego's beanstalk grows at an exponential rate of 16% per day, then the expression that represents the height of the plant, "f", in function of days, "x", can be found as shown below:

Initially the height of the plant was:

[tex]f(0) = 8[/tex]

After the first day however it was:

f(1) = 8*(1 + \frac{16}{100}) = 8*(1.16)

While after the second day:

f(2) = f(1)*(1.16) = 8*(1.16)*(1.16) = 8*(1.16)²

And so on, therefore the expression is:

f(x) = 8*(1.16)^x

The value of f(x + 1)/f(x) is:

[8*(1.16)^(x + 1)]/[8*(1.16)^x]

[8*(1.16)*(1.16)^(x)]/[8*(1.16)^x] = 1.16

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

my chile

Answer:

A. Using a 90% confidence level (instead of 95%)

D. Using a sample size of 90 employees (instead of 60)

Step-by-step explanation:

The margin of error of a confidence interval is given by:

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The higher the margin of error, the less precise the confidence interval is.

We have:

A 95% confidence interval, with a sample of 60.

We want to make it more precise:

Two options, decrease z(decrease the confidence level), or increase n(increase the sample size).

So the correct options are:

A. Using a 90% confidence level (instead of 95%)

D. Using a sample size of 90 employees (instead of 60)

Answer:

y = [tex]-9 \frac{1}{2}[/tex]

Step-by-step explanation:

9x-4y = 20

Given that x = -2

Putting in the above equation

9(-2) -4y = 20

-18 - 4y = 20

-4y = 20+18

-4y = 38

Dividing both sides by -4

y = [tex]-\frac{38}{4}[/tex]

y = [tex]-\frac{19}{2}[/tex]

y = [tex]-9 \frac{1}{2}[/tex]

Answer:

19/-2

Step-by-step explanation:

the answer is referred in the picture with the working out. hope it was helpful

Answer:

6 pounds

Step-by-step explanation:

Answer:

A production level of 30 thousand units (x = 30)

Step-by-step explanation:

To find the production level (value of x) that will yield the maximum revenue, we can take the derivative of the function R in relation to x and find when it is equal to 0:

dR/dx = -3x2 + 66x + 720 = 0

x2 - 22x - 240 = 0

Solving the quadratic equation using Bhaskara's formula, we have:

Delta = (-22)^2 + 4*240 = 1444

sqrt(Delta) = 38

x1 = (22 + 38)/2 = 30

x2 = (22 - 38)/2 = -8

The negative value is not valid for our problem, so we have that the value that gives the maximum revenue is x = 30

Step-by-step explanation:

[tex] \frac{19683x {}^{18} }{512} - \frac{59049x {}^{15} }{512} + \frac{19683x {}^{12} }{128 } - \frac{15309x {}^{9} }{?128} + \frac{15309x {}^{6} }{256} - \frac{15309x {}^{9} }{128} + \frac{15309x {}^{6} }{?256} - \frac{5103x {}^{3} }{256} + \frac{567}{128} - \frac{81}{128x {}^{3} } + \frac{27}{512x {}^{6} } - \frac{1}{512x {}^{9} } [/tex] it's long there's some calculations in de side hope its helpful

Answer:

[tex]4\frac{1}{5}[/tex]

Step-by-step explanation:

=>[tex]\frac{7}{9} * 5 \frac{2}{5}[/tex]

=> [tex]\frac{7}{9} * \frac{27}{5}[/tex]

=> [tex]\frac{7*3}{5}[/tex]

=> [tex]\frac{21}{5}[/tex]

=> [tex]4\frac{1}{5}[/tex]

Answer:

[tex]4\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{7}{9} \times 5 \frac{2}{5}[/tex]

[tex]\frac{7}{9} \times \frac{27}{5}[/tex]

[tex]\frac{7 \times 27}{9 \times 5 }[/tex]

[tex]\frac{189}{45}[/tex]

[tex]\frac{21}{5}[/tex]

[tex]=4\frac{1}{5}[/tex]

Answer:

1. it has different colors