What is the equation of a line passing through (-3,7) and having a slope of -1/5
PLEASE HELP

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:

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

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:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

my chile

Subtract the ceiling fan from the height of the room:

8.4 - 1.875 = 6.525 feet

The answer is:

Maury’s head will hit the fan because there are 6.525 feet between the floor and the fan, and 6.525 is less than 6.6.

Answer:

it is A

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Option \ 1}[/tex]

Step-by-step explanation:

Since, AE = CE and BE = DE , then E is the midpoint of AC and BD. Causius can use that to show that AC and BD bisect each other which means that they both are the diagonals of a parallelogram bisecting each other. Hence, It will be proved that ABCD is a || gm.

Hope this helped!

Answer:

6 pounds

Step-by-step explanation:

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:

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:

https://brainly.com/question/1851758

Answer:

Step-by-step explanation:

Let a = original amt in the savings account

"He spent $48 on a radio and 3/8 of what was left on presents for his friends."

Therefore he kept 5/8 of what was left

5/8(a - 48)

5/8(a - 30) left

:

John then put 2/3 of his remaining money into a checking account and donated the $100 that was left to charity.

a = 2/3(5/8a - 30) + 100

a = 5/12a - 20 + 100

a = 5/12a + 80

a - 5/12a = 80

7/12a = 80

a = $137.17 originally in his saving acct

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:

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:

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:

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:

[tex]x=\frac{\sqrt{14} }{2}[/tex]

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures [tex]45^o[/tex]. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

[tex](\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}[/tex]

We use just the positive root, since we are looking for an actual length. then, the requested side is:

[tex]x=\frac{\sqrt{14} }{2}[/tex]

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:

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:

[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:

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:

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

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:

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:

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:

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:

https://brainly.com/question/743546

Answer:

3481π or 10935.884

Step-by-step explanation:

Area = πr^2

Area = 3481π or 10935.884

Answer:

[tex]solution \\ 2x - 3 = x + 4(being \: alternate \: exterior \: angles) \\ or \: 2x - x = 4 + 3 \\ x = 7 \\ hope \: it \: helps[/tex]

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%