If 4 workers can paint a room in 3 hours, then approximately how long does it take 6 workers to paint the same room? Assume the time needed to paint the room is inversely proportional to the number of workers.
a. 12 hours 3 hours
b. 2 hours 4 hours

Answer:

Number of cars 16 profit-30

The expression that does not represent the same function as y = 2x + 4 is B, which is y = 2x - 4.

A. y = 2(x + 2)

With x = 1, we obtain y = 2(1 + 2) = 6.

The resultant value of y is 6, which corresponds to the value of y when x = 1 for the formula y = 2x + 4. As a result, y = 2x + 4 is represented by the same function as this expression.

B. y = 2x - 4

With x = 1, we obtain y = 2(1) - 4 = -2.

When y = 2x + 4 and x = 1, the value of y obtained is -2, which is not identical to the value of y when x = 1. The function represented by this statement is therefore distinct from that of y = 2x + 4.

C. y = 2(x + 4) - 8

With x = 1, we obtain y = 2(1 + 4) - 8 = 2.

The obtained value of y is 2, which differs from the value of y when

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Answer:

y = -5x - 2

Step-by-step explanation:

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

given (-5,23) and (-1,3)

m = (3 - 23)/(-1 - -5)

m = -20/4 = -5

then Slope-intercept: y = mx + b

y = -5x + b

using (-1,3)

then 3 = -5(-1) + b

3 = 5 + b

b = -2

then y = -5x - 2

Jοsiah mistake is He did nοt multiply the numeratοr and denοminatοr by the cοrrect number tο equal 1,500.

A fractiοn, which is derived frοm the Latin wοrd fructus, which means "brοken," is a cοmpοnent οf a whοle οr, mοre brοadly, any number οf equal pieces. When emplοyed in cοnversatiοnal English, a fractiοn denοtes the quantity οf cοmpοnents οf a specific size, as in οne-half, eight-fifths, and three-quarters.

It cοnsists οf a nοn-zerο denοminatοr that is shοwn belοw (οr after) a line and a numeratοr that is shοwn abοve the line. Numeratοrs and denοminatοrs are used in cοmmοn fractiοns such as cοmpοund fractiοns, cοmplex fractiοns, and mixed numerals.

It is said as fοllοws: 10/20 = x/1500

1500 divided by bοth sides : (10/20)x1500 = (x/1500)x1500

Or,(10x1500) /20 = x

Or, x=750

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Answer:

x = \(-\frac{133}{3}\), y = \(\frac{157}{15}\)

Step-by-step explanation:

x + 5y = 8

3x = 24 - 157

3x = 24 - 157

3x = -133

x = \(-\frac{133}{3}\)

x + 5y = 8

\(-\frac{133}{3}\) + 5y = 8

5y = \(\frac{157}{3}\)

y = \(\frac{157}{15}\)

Answer:

<--------

<----|---|---|---|---|---|---|----------

   -9 -8 -7 -6 -5 -4 -3

Step-by-step explanation:

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

P (3 or fewer) =0.2650

Step-by-step explanation:

Mean = x` = 5

The Poisson distribution formula  is given by

P(X) = e-ˣ` x`ˣ/ x!

The mean is 5 and the X takes the values 0,1,2,and 3 which means 3 or fewer, so we add the probability of all the values of X to get the desired Value of X.

P(3 or fewer ) = e-⁵ (5)³/3!+  e-⁵ (5)²/2! +e-⁵ (5)/1!+e-⁵ (5)⁰/0!

Putting the Values

P (3 or fewer) = 0.006737 . 125 / 6 + 0.006737 . 25 / 2 +0.006737 . 5 / 1 + 0.006737 . 1 / 1

P (3 or fewer) = 0.140374 + 0.08422+ 0.03369 +0.006737

P (3 or fewer) =0.2650

Answer:

Confidence interval = (4.61972, 25.46428)

Margin of Error = 3.9078675

Step-by-step explanation:

Given that :

This year:

Mean (μ1) = 64

Standard deviation (s1) = 13.8

Sample size (n1) = 28

Last year:

Mean (μ2) = 48.958

Standard deviation (s2) = 15.4

Sample size (n2) = 28

99% confidence interval estimate of the difference μ1−μ2

α = 1 - 99% = 0.01

(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)

t0.01, 27 = 2.770683 (t value calculator)

√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675

(64 - 48.958) ± 2.667(3.9078675)

15.042 ± 10.42228

(15.042 - 10.42228), (15.042 + 10.42228)

(4.61972, 25.46428)

The margin of error :

√(s1²/n1) + (s2²/n2)

√(13.8^2/28) + (15.4^2/28)

√(6.8014285 + 8.47)

√15.2714285

= 3.9078675

An equation in the slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.

Given:

slope = m = 5

The equation is f(x) = 5x + b

To find b, let's use the point (-2, -8), substituting x by -2 and f(x) by -8.

Answer:

The equation of the line is f(x) = 5x - 2.

Answer:

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We have the point (-6,8) and a slope of -5/3.

Step 1: Use the point-slope formula to find the equation of the line in point-slope form.

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point.

y - 8 = (-5/3)(x - (-6))

Simplify this equation:

y - 8 = (-5/3)(x + 6)

Step 2: Convert the equation to slope-intercept form.

Distribute (-5/3) to get:

y - 8 = (-5/3)x - 10

Add 8 to both sides:

y = (-5/3)x - 2

This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Answer:

C. 3 to 18, 5 to 30 is equal

Step-by-step explanation:

Answer:

The flagpole is 51ft tall

Step-by-step explanation:

Given

See attachment for flagpole

Required

The height of the flagpole

To do this, we use the following equivalent ratios

\(h : 85 = 6 :10\)

Where h is the required height

Express as fraction

\(\frac{h}{ 85} = \frac{6 }{10}\)

Make h the subject

\(h = \frac{6 }{10} * 85\)

\(h = \frac{6 * 85}{10}\)

\(h = \frac{510}{10}\)

\(h = 51\)

Answer:

what you are looking? if you need a answer I think it is 24t^7 but tell me what are you looking

The reason why Klog could not hear music through his phone was that it was chordless.

This refers to the use of words to show their double meaning and how one meaning can sound the same and mean a different thing.

Hence, we can see that from the knowledge of chords, we can see that music is written in chords and Klog's phone did not have a cord and this was the meaning of the pun to show that Klog could not listen to music because his phone did not have a cord.

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The average change of rate of a function in an interval is given by:

Where a and b are the left and right endpoints, respectively.

The endpoints are a = 3 and b = 3.1

Then, we do:

Then the average change of rate is:

The average change of rate is 12.2

Now we need to find the instantaneous change of rate at the endpoints. This is the same as evaluate the derivative in the endpoints.

Then, the derivative of f(t) is:

Then we evaluate f'(t) for t = 3 and t = 3.1:

The rates of change are:

left endpoint = 12

right endpoint = 12.4

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

Using the binomial distribution, it is found that the probabilities are:

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

Exercise 1:

The parameters are:

n = 15, p = 0.4, x = 4.

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228\)

Exercise 2:

The parameters are:

n = 12, p = 0.2, x = 2.

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835\)

Exercise 3:

The parameters are:

n = 20, p = 0.05.

The probability is:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

Using the binomial formula for each value and adding them:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841\)

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Answer: I believe it would be 2/5.

Step-by-step explanation:

Reduction means the fraction is reduced to it's simplest form.

7/7=1

2/5=2/5

15/13=1 2/13

See as the '2/5' does not change in reduction.

So, '2/5' would be your answer.

Hope this helps! :)

The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.

The matrices are given by:

3a: 3[5 2]' = [15 6].

b = [7 1;5 0].

With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.

Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

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Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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Answer: its #3

Step-by-step explanation:

Answer:

3 is wrong

Step-by-step explanation:

1.5 miles to yards is 2640 yd.

The exact value of x is √1156 and it follows the Pythagorean triple

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

Legs of the right triangle = 16 and 30

Using the pythagoras theorem, we have

Hypotenuse^2 = the sum of the squares of the other lengths

So, we have

x^2 = 16^2 + 30^2

When evaluated, we have

x^2 = 1156

This gives

x = √1156

Hence, the exact value is √1156

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Answer:

○ \(\displaystyle y = 2x + 2\)

Step-by-step explanation:

Starting from the y-intercept of \(\displaystyle [0, 2],\)travel south two units, then west one unit to the endpoint AND x-intercept of \(\displaystyle [-1, 0].\)Doing so will give you the rate of change of 2:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-2 ± 0}{0 - 1} = m \hookrightarrow \frac{-2}{-1} = m \\ \\ 2 = m\)

With all the above information, you arrive at the equation of the line.

I am joyous to assist you at any time.

Answer:

Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:

65^2 = 4,225

46^2 = 2,116

To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.

4,225 - 2,116 = 2,109

√2,109 ≈ 45

Hence, x ≈ 45.

Step-by-step explanation:

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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Answer:

lesser odd integer =11

Greater odd integer=13

Step-by-step explanation:

let the consecutive odd integers be x,x+2

and  x<x+2

3(x+2)=x+28

3x+6=x+28

3x-x=28-6

2x=22

x=11

x+2=11+3=13