What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?

-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6​

If Taylor is producing graphic T-shirts that will come in three different colors then about 275 graphic T-shirts should be white.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Since Taylor randomly surveyed 100 people and 55 of them said they prefer the white T-shirt

we can estimate the proportion of people who prefer the white T-shirt as:

p = 55/100 = 0.55

We can assume that this proportion is a good estimate of the true proportion of people who will prefer the white T-shirt among all potential customers.

To estimate the number of people who will prefer the white T-shirt among 500 potential customers

The formula for the expected value of a binomial random variable is

E(x) = np

Substituting the values, we get:

E(x) = 500 × 0.55 = 275

Therefore, about 275 graphic T-shirts should be white.

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Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

And,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

We know that,

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Answer:

Anderess?

Step-by-step explanation:

Answer:

B) 5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

32+33=65

Answer:

-8 is the final answer

Step-by-step explanation:

-(2⁵)^3/5

-2³

-8

Answer:

13=11/3(0)+c

c=13

y=11/3X+13

Step-by-step explanation:

please like and brainliest mee

Answer:

40% of 140 because 56+38+46= 140

Answer:

option 3, double the height and with of original bottle

The methods which will create the larger water bottle with the intended volume is 1 and IV.

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.

Volume of a cylindrical shape = π r² h

Let V be the original volume.

If radius is doubled, then the new volume is,

V' = π (2r)² h = 4(π r² h) = 4V

So 1 is an option.

When the height is Quadrupled,

V' = π r² 4h = 4(π r² h) = 4V

Hence the correct options are 1 and IV.

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Answer:

Step-by-step explanation:

Remark

His pay gets income tax deducted at a rate of 18% = 18/100

That means you multiply is weekly wage by 18/100 to get what the government takes off.

Solution

18/100 * 495 = 80.10

The government takes $80.10

His take home pay is 495 - 80.10 = $405.90

Note:

There is a short way of doing his take home pay if that is all you are interested in. His take home pay is 82% of his gross pay which is 82/100 * 495.

82/100 * 495 = 405.90

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] - 4(2w + 1)[/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex] - 8w - 4[/tex]

Bind the expression with the common factor -4

[tex] - 8w - 4[/tex]

Answer: −4(2w+1)

Step-by-step explanation: Hope this help :D

Answer:

9 it is

Step-by-step explanation:

Answer:

Option C √32 is correct

Step-by-step explanation:

Here,

x₁ = 8

x₂ = 4

y₁ = (-3)

y₂ = (-7)

Now,

By Using Distance Formula

D = √(x₂ - x₁)² + (y₂ - y₁)²

= √(4 - 8)² + [(-7) - (-3)]²

= √(-4)² + [(-7) + 3]²

= √16 + (-4)²

= √16 + 16

D = √32

Thus, The distance between (8, -3) and (4, -7) is √32

-TheUnknownScientist

Answer:

under root 32 is the right answer

Answer:

11

Step-by-step explanation:

Equation is

[tex] \sqrt{x - 2)} = x - 8[/tex]

solve by

Answer:

L = 6, w = 2

Step-by-step explanation:

Let w = width of rectangle

Let L = length of rectangle

w = L - 4

Area of rectangle = Lw

L (L - 4) = 12

L^2 - 4L = 12

L^2 - 4L - 12 = 0

(L - 6)(L + 2) = 0

L - 6 = 0

L = 6 (the other option doesn't work because dimensions can't be negative)

w = L - 4

w = 6 - 4

w = 2

Double check

A = Lw

A = 6 x 2

A = 12

It matches so we are right.

Answer: 17.156

Step-by-step explanation:

A rational number is any number that has a pattern (in decimals) and can be written as a fraction. 17.156 is a terminating decimal. So its a predicting pattern  therefore is a rational number.

Discriminant:  in mathematics, a parameter of an object or system calculated as an aid to its classification or solution.

Answer: Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2

Hope this helped!

Sending U you good luck!

Answer:

yes

Step-by-step explanation:

i know this

Answer:

Theres no pic

Step-by-step explanation:

I cant solve this

Answer:

Probably mean.

Step-by-step explanation:

The median is the middle number (in this case, 19) and the mean is the average of all the numbers

Answer:

8 hours

Step-by-step explanation:

Answer:

21 hours

Step-by-step explanation:

8 evenings x $2 per evening = $16

$121 - $16 = $105

$105 / $5 per hour = 21 hours

to check:

21 hours x $5 per hour = $105

8 evenings x $2 per evening = $16

$105 + $16 = $121

Answer:

B

Step-by-step explanation:

18:48

divide both sides by 6

3:8

It will take 24 tractors, each working 10 hours a day, a total of 4 days to plough the same piece of land.

To determine how many days it will take 24 tractors, each working 10 hours a day, to plough the same piece of land, we can use the concept of man-hours.

Given that 15 tractors, each working 8 hours a day, took 8 days to complete the task, we can calculate the total man-hours required to plough the land.

Total man-hours = Number of tractors * Hours per tractor * Number of days

Total man-hours = 15 tractors * 8 hours/tractor * 8 days

Total man-hours = 960

Now, let's calculate the number of days required for 24 tractors, each working 10 hours a day, to complete the task.

Number of days = Total man-hours / (Number of tractors * Hours per tractor)

Number of days = 960 / (24 tractors * 10 hours/tractor)

Number of days = 960 / (240)

Number of days = 4

As a result, ploughing the same plot of land will require 24 tractors to labour for a total of 4 days at 10 hours per day each.

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Answer:

5^8

Step-by-step explanation:

multiply the exponents = 4x2 = 8

Answer:

226 inches cube

Step-by-step explanation:

The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.

Answer:

151 in^3

Step-by-step explanation:

pi x 3^2 x 5.5 (the approximate water level)

= 155

151 is the closest answer

Answer:

oh my answer is in the explanation

Step-by-step explanation:

it

is

quite

big