|x - 6| = 1 absolute value step pls

The volume of the empty portion of container B is 6104.2 ft³(nearest tenth)

A word problem in maths is a maths question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

volume of empty space in container B = volume of B - volume of A

volume of A = πr²h

= 3.14 × 12² × 18

= 8138.88ft³

volume of B = πr²h

= 3.14 × 18² × 14

= 14243.04ft³

Therefore volume of empty space in B = 14243.04 - 8138.88

= 6104.2 ft³(nearest tenth)

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Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

Of all rectangles with an edge of 10 meters, the one that has the greatest zone(area) could be a square.

To see why, let's assume that a rectangle with a border of 10 meters has measurements of length L and width W.

At that point, we know that:

2L + 2W = 10

Rearranging this condition, we get:

L + W = 5

Presently, we need to discover the most extreme range encased by the rectangle, which is given by:

Area = L x W

Able to illuminate for one variable in terms of the other utilizing the condition L + W = 5:

L = 5 - W

Substituting this expression for L into the condition for the zone, we get:

Zone = (5 - W) x W

Extending and disentangling this expression, we get:

Area = 5W - W²

To discover the most extreme esteem of this quadratic expression, we will take its subsidiary with regard to W and set it to break even with zero:

dArea/dW = 5 - 2W =

Tackling for W, we get:

W = 2.5

Substituting this esteem back into the condition for the edge, we get:

L = 2.5

Hence, the measurements of the rectangle that has the greatest region are L = 2.5 meters and W = 2.5 meters, which implies it could be a square. The most extreme zone enclosed by the rectangle is:

Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

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Answer: 250

Step-by-step explanation: :)

Answer: 250

Based on the given conditions, formulate:: 15 x 100 over 60

Simplify fraction(s): 5 x 50

Calculate the product or quotient: 250

Step-by-step explanation:

the price is 5 per tile ?

the area of the rectangular room is

12×6 = 72 m²

each m² has 100×100 = 10000 cm²

so, we have for the total area in cm²

72 × 10000 = 720000 cm²

one tile has 10×2 = 20 cm²

so, how many tiles will we need ?

720000 / 20 = 72000 / 2 = 36000 tiles.

so, if truly 1 tile costs 5 Rupees, then we have

36000 × 5 = 180000 Rupees as total costs.

Step-by-step explanation:

1 m = 100 cm

12 m = 1200 cm

6 m = 600 cm

Area of room = l × w

Area = 1200 × 600

Area = 720000 cm²

Area of tile = l × w

Area = 10 × 2

Area = 20 cm²

Total tile = 720000/20 = 72000/2 = 36000

Cost = 36,000 × 5

Cost = $ 180000

Answer:

The index of refraction of this medium is 1.4

Step-by-step explanation:

The refractive index, n, of a transparent medium is defined as the ratio of speed of light in vacuum to the speed of light in that medium.

Here the given speed of light in a certain medium is 2.2 x \(10^{8}\) and the speed of light is c= 3 x \(10^{8}\)

Refractive index = n= c/v

                                  =3 x \(10^{8}\)/2.2 x \(10^{8}\)

                                  = 1.36

                                  = 1.4

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The refractive index of this medium is 1.4 .

Here the given speed of light in a given medium is 2.2 x 10⁸ and the speed of light is c = 3 x 10⁸

Refractive index = n= c/v

                                 =3 x 10⁸ / 2.2 x 10⁸

                                 = 1.36

                                 = 1.4

The refractive index of this medium is 1.4 .

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Answer: present statistical information in clear, meaningful terms.

Step-by-step explanation:

When using statistics, the information gathered should be presented in such a way that it is clear and meaningful as this would allow for the data to be tested using various statistical measures.

If data is unclear, the measures used for the test could be negatively impacted such that the results would not represent the most accurate of interpretations.

Answer: The dividend yield on Stock A = 0.04

Step-by-step explanation:

Given: quarterly dividend = $0.15 per share

Annual dividend per share = 4 x 0.15 = $0.6  [1 year = 4 quarters]

Stock's price per share = $0.15

The computation of dividend is given by :-

Dividend yield = (annual dividend per share) divided by (the stock's price per share).

Here, Dividend yield = (0.6) ÷ 15 =  0.04

Hence, the dividend yield on Stock A = 0.04

The significant digits the product should have is 2

Multiplying scientific values

Scientific notations are expressed in the form A * 10^n

where

A is any real number between 1 and 10

n is any integer

When multiplying scientific notations, the final product must be to the scientific notation that has the least decimal place.

Since the least decimal place in the given measurement is 2,

hence the significant digits the product should have is 2.

Start by looking at the left side of your degrees of freedom and find your variance. Then, go upward to see the p-values. Compare the p-value to the significance level or rather, the alpha. Remember that a p-value less than 0.05 is considered statistically significant.

A test of significance is a formal procedure for comparing observed data with a claim (also called a hypothesis), the truth of which is being assessed. • The claim is a statement about a parameter, like the population proportion p or the population mean µ.

The role of significance level.

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Answer:

40cm square

Step-by-step explanation:

10x8cm=80 cm/2=40cm square

Answer:80cm

Step-by-step explanation:Area=\(\frac{dxd}{2}\)

10cm x 8cm=80cm

Below is the answer

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Answer:

\(\displaystyle h'(0) = -5\)

Step-by-step explanation:

We are given the function:

\(\displaystyle h(x) = 3f(x) -2g(x) - 5\cos x - 3\)

And that f'(0) = 3 and g'(0) = 7.

And we want to determine the value of h'(0).

Find h'(x). We can take the derivative of both sides:

\(\displaystyle h'(x) = \frac{d}{dx}\left[ 3f(x) - 2g(x) - 5\cos x - 3\right]\)

Expand and simplify:

\(\begin{aligned}\displaystyle h'(x) & = \frac{d}{dx}\left[ 3f(x) - 2g(x) - 5\cos x - 3\right] \\ \\ & = \frac{d}{dx}[3f(x)] + \frac{d}{dx}[-2g(x)] + \frac{d}{dx}[-5\cos x] + \frac{d}{dx}[-3]\\ \\ & = 3f'(x) -2g'(x) +5\sin x\end{aligned}\)

Therefore:

\(\displaystyle h'(0) = 3f'(0) -2 g'(0) + 5 \sin (0)\)

Substitute and evaluate:

\(\displaystyle \begin{aligned} h'(0) & = 3(3) - 2(7) + 5(0) \\ \\ & = (9) - (14) + (0) \\ \\ & = -5\end{aligned}\)

In conclusion:

\(\displaystyle h'(0) = -5\)

Answer:

84

Step-by-step explanation:

12·7=84

Answer:

Area= 84 cm²

Step-by-step explanation:

Area = Base(height)

=> A = 12 (7)

=> A = 84

Hope this helps!

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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Answer:

39°

Step-by-step explanation:

Complementary angles sum up to 90°

< JKL + < RST = 90

36 + x + 15 =90

51 + x = 90

x = 39°

Step-by-step explanation:

Since each equaion is equal to 'y'....just equate them and solve for 'x'

4x+1  =  x^2 + 2x -2       simplify

x^2 -2x -3 = 0                factor ( or use Quadratic Formula)

(x-3)(x+1) = 0     shows   x = 3  or -1

  sub these values into either one of the equations to calculate the corresponding 'y' :

      when x = 3     y = 4x+1     y = 4(3) + 1  = 13

        When x = -1   y = 4 (-1) +1   =  -3

 (3,13)  and  ( -1, -3)

We can solve the system of equations by setting the expressions for y equal to each other:

4x + 1 = x^2 + 2x - 2

Simplifying and rearranging, we get:

x^2 - 2x - 3 = 0

Factoring, we get:

(x - 3)(x + 1) = 0

So the solutions for x are x = 3 and x = -1.

Substituting these values back into either equation, we get the corresponding values of y:

When x = 3, y = 4x + 1 = 13.

When x = -1, y = 4x + 1 = -3.

Therefore, the solution to the system of equations is (x,y) = (-1,-3) and (3,13).

The correct answer is (D).

Answer:

ok. its  8/24. but if you got to simplify its 1/3

Step-by-step explanatin

you do 5*4 (the numerator) and 6*4(the denomerator).

this is the lcd(least comon )denominator.

repaet the steps for 2/4 but multiply by 6 on each number

once    

thats

done

its

your

answer

Answer:

5/6 – 2/4

= (10–6)/12

= 4/12

= 1/3

Answer:

The equation would be x = -1

Step-by-step explanation:

Since the line is vertical, all y = all real numbers. This means that only x needs to be addressed, and since every x value is equal to -1, that's what the equation would be.

Answer:

x=-1

It's a vertical line so it touches all y's. The only x it touches is -1.

Answer:

Step-by-step explanation:

The world parlance represents jargon/terms used by a particular profession or by a group of related experts in a field.

In french parler, means "to speak, hence the word parlance has it root from the french word parler.

it is a noun and it often called a slang or a jargon.

for example in law, lawyers use world/terms like, plaintiff, witness, suspect, jury, etc

The terminology that is specific to a particular profession or group is called; Jargons

We are given examples such as;

T-tests, chi-square tests, confidence intervals being used exclusively by statisticians.

Now, these terms used exclusively by statisticians have a general term they are called which is Jargons.

In conclusion, Jargons is the general name for words or expressions that are used exclusively by a group that are not easy for others to understand.

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Answer:

D

Step-by-step explanation:

Divide 300 by 22. Using an estimate, 300/20 is 15 so I would say at least 15.

Hope this helps please mark brainliest if correct :D

Answer:

10 inches

Step-by-step explanation:

Surface Area = π R² + π R L [ L is Slant Height ]

200 π = π (10)² + π (10) L

200 π = π (100) + π (10) L

200 π - 100 π = 10 π L

100 π = 10 π L

100 π / 10 π = L

10 = L

L = 10 inches

Hope this Helps......

\(\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}\)

Given terms :

Now, we know

\( \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}\)

(note : " l " represents slant height.)

Therefore, Measure of slant height (l) :

\( \huge \boxed{10 \: \: in \: }\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

LCL and UCL values of both scenarios are (158.61,161.39),(69.65,70.35) respectively.

To calculate the lower confidence limit (LCL) and upper confidence limit (UCL) for each given scenario, you'll need to use the following formula:

LCL = X - (z * (sigma / √n))
UCL = X+ (z * (sigma / √n))

where X is the sample mean, n is the sample size, sigma is the population standard deviation, and z is the z-score corresponding to the desired confidence level (1 - alpha).

First Scenario:
X = 160, n = 436, sigma = 30, alpha = 0.01

1. Find the z-score for the given alpha (0.01).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.005 = 0.995.
The corresponding z-score is 2.576.

2. Calculate LCL and UCL.
LCL = 160 - (2.576 * (30 / √436)) ≈ 158.61
UCL = 160 + (2.576 * (30 / √436)) ≈ 161.39

First Scenario Result:
LCL = 158.61
UCL = 161.39

Second Scenario:
X= 70, n = 323, sigma = 4, alpha = 0.05

1. Find the z-score for the given alpha (0.05).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.025 = 0.975.
The corresponding z-score is 1.96.

2. Calculate LCL and UCL.
LCL = 70 - (1.96 * (4 / √323)) ≈ 69.65
UCL = 70 + (1.96 * (4 / √323)) ≈ 70.35

Second Scenario Result:
LCL = 69.65
UCL = 70.35

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Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

Phoenix 3 1,689

Minot 2 913

San Francisco 4 2,556

Phoenix average speed = distance travelled / time taken

= 1,689 km /3 hours

= 563 km/hour

Minot average speed = distance travelled / time taken

= 913 km / 2 hours

= 456.5 km/hour

San Francisco average speed = distance travelled / time taken

= 2,556 km / 4 hours

= 639 km/hour

The fastest average speed flight is San Francisco with an average speed of 639 km/hour

Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

Julie bought 40 postcards and 100 stamps to spend a total of $51.40.. Solving the equation 26x + 41(2x + 20) = 5140 will give the quantities.

To find the number of postcards and stamps Julie bought, we set up the equation 26x + 41(2x + 20) = 5140, where x represents the number of postcards. By solving this equation, we can determine the value of x, which represents the number of postcards Julie bought.

Expanding the equation gives us 26x + 82x + 820 = 5140. Combining like terms, we have 108x + 820 = 5140. Subtracting 820 from both sides gives 108x = 4320. Dividing both sides by 108, we find x = 40.

Therefore, Julie bought 40 postcards. Substituting this value into the expression for stamps, we find the number of stamps is 2x + 20 = 2(40) + 20 = 100.

In conclusion, Julie bought 40 postcards and 100 stamps to spend a total of $51.40.

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Explanation:

531/16=(10+10+10+3) + 3

Didisor =16

Dividend=531

Quotient= 10+10+10+3

=33

Remainder=3

531-3=33*16

528=33*16

528/16=33

33=33

The weight of th baby elephant in the month of March would be 247.5 Kg.

Weight of a body is the force exerted by the earth on the body on the surface of the earth towards its center.

Given is that in January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜.

Assume the weight of the baby elephant in March would be {x} Kg. We can write -

{x} = 180 + 3/8 of 180

{x} = 180 + 3/8 x 180

{x} = 180 + 67.5

{x} = 247.5 Kg

Therefore, the weight of th baby elephant in the month of March would be 247.5 Kg.

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The number of girls in a population of 320 students that would ride the bus is approximately 211.

Based on the given survey results, the number of girls who ride the bus is 23.

To find out the number of girls in a population of 320 students that would ride the bus, we need to first calculate the percentage of girls who ride the bus.

Total number of girls surveyed = 23 + 5 + 7 = 35

Percentage of girls who ride the bus = (23/35) x 100% = 65.71%

Now, we can calculate the number of girls in a population of 320 students that would ride the bus as follows:

Number of girls who would ride the bus = (65.71/100) x 320 = 210.75

Since we cannot have a fractional part of a person, we need to round off the answer to the nearest whole number.

Therefore, the number of girls in a population of 320 students that would ride the bus is approximately 211.

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The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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