3/4 (x - 3) - 1/2 2/3 whats the value of x​

I got this answer by first using the slope formula, which would result into \( \frac{0 - 4}{6 - 0} \\ \)for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get

\(y = - \frac{2}{3} x + 4 \\ \)

Answer:

1

Step-by-step explanation:

The step by step explanation is in the diagram above

I hope you understand

The purpose of statistical inference population based upon information obtained from the sample.

statistical inference uses sample data to make estimates of or draw conclusions about one or more characteristics of a population.

The purpose of statistical inference is to estimate this sample to sample variation or uncertainty. Understanding how much our results may differ if we did the study again, or how uncertain our findings are, allows us to take this uncertainty into account when drawing conclusions. It allows us to provide a plausible range of values for the true value of something in the population, such as the mean, or size of an effect, and it allows us to make statements about whether our study provides evidence to reject a hypothesis.

We have four ideas for using the statistical inference.

1. Estimating uncertainty.

2. Confidence intervals.

3. Hypothesis tests.

4. Connections with other material.

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The given question is not complete.

The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.

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The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.

To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:

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

In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:

t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2

Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.

To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.

If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.

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The height of the building is approximately 554.26 feet.

To find the height of the building, you can use the tangent formula in trigonometry. The formula you need is:
height = distance × tan(angle)
where "height" is the height of the building, "distance" is the distance from the base of the building, and "angle" is the angle of elevation.
In this case, the distance is 2 miles and the angle of elevation is 3 degrees. First, convert the angle to radians:
angle (in radians) = angle (in degrees) × (π/180)
angle (in radians) = 3 × (π/180) ≈ 0.05236 radians
Now, plug the values into the formula:
height = 2 miles × tan(0.05236 radians)
To get the height in feet, convert miles to feet (1 mile = 5280 feet):
height = (2 × 5280) × tan(0.05236 radians) ≈ 554.26 feet

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To determine how many pieces of the press must be purchased, we need to consider the production rate, operating hours, efficiency, and scrap rate.

Number of units processed per day = 10,000

Machine efficiency = 95%

Punching operation time = 10 seconds

Number of shifts per day = 2

Number of hours per shift = 8

To calculate the required number of presses, we can use the following formula:

Number of presses = (Number of units processed per day / (Machine efficiency * Number of shifts * Number of hours)) * (Punching operation time / 3600)

Number of presses = (10,000 / (0.95 * 2 * 8)) * (10 / 3600) = 52.08

Therefore, approximately 52 presses would be needed to meet the production requirements.

If the press has a scrap rate of 10%, we need to consider the effect of scrapped units on the required number of presses.

Number of scrapped units per day = 10,000 * 0.10 = 1,000

Number of units that can be reworked = 1,000 * 0.70 = 700

To modify the formula for the new scenario, we subtract the reworked units from the total units processed per day:

Number of units processed per day (after rework) = 10,000 - 700 = 9,300

Number of presses (after considering scrap and rework) = (9,300 / (0.95 * 2 * 8)) * (10 / 3600) = 48.48

Therefore, approximately 48 presses would be needed when considering the scrap rate and rework capability.

The new answer is different from Exercise 11 because the scrap rate reduces the effective production rate, resulting in a lower requirement for punch presses. By accounting for scrap and rework, the company can optimize its resource allocation and production planning to meet the desired output while considering the potential loss due to scrap.

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The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

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Answer:

The value of x is 138

Answer:

I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..

Step-by-step explanation:

To meet her daily goal, Ling need to pedal approximately 1,008 revolutions each day.

To find the number of revolutions Ling will need to pedal each day to meet her daily goal, we need to first find the circumference of her unicycle tire.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Since the diameter of Ling's unicycle tire is 20 inches, the radius is 10 inches. Therefore, the circumference of her unicycle tire:

C = 2π(10) = 20π inches.

Next, we need to convert Ling's daily goal of one mile, or 5280 feet, to inches. There are 12 inches in a foot, so 5280 feet is equal to 5280 * 12 = 63360 inches.

Finally, we can find the number of revolutions Ling will need to pedal each day by dividing her daily goal in inches by the circumference of her unicycle tire in inches:

Number of revolutions = 63360 inches / 20π inches = 20,160π / 20π = 1,008

Therefore, Ling will need to pedal approximately 1,008 revolutions each day to meet her daily goal.

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Answer:

equilateral and equiangular

Step-by-step explanation:

If ABC is a right angled triangle and angle BAC = 90°. If AD perpendicular to BC and BD=DC then BC² = 4AD² is 4 * AD^2.

How to prove that BC² = 4AD²?​

In right triangle ABC, by Pythagorean theorem, we have:

AC^2 + BC^2 = AB^2

Since AD is perpendicular to BC, by similarity, triangle ABD is similar to triangle ADC. Therefore, we have:

BD/AD = AD/DC

BD = AD^2/DC

Substituting BD into the first equation, we get:

AC^2 + BC^2 = AB^2 = AD^2 + (AD^2/DC)^2

AC^2 + BC^2 = AD^2 + AD^4/DC^2

AC^2 + BC^2 = AD^2(1 + AD^2/DC^2)

Since BD = DC, we have:

AC^2 + BC^2 = AD^2(1 + AD^2/BD^2)

And substituting DC = BD:

AC^2 + BC^2 = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2)

Since AB^2 = AC^2 + BC^2, we have:

BC^2/AD^2 = AB^2/AD^2 - AC^2/AD^2 = (AB^2 + AC^2)/AD^2 - AC^2/AD^2 = (BC^2 + AC^2)/AD^2 = 4

Therefore, BC^2 = 4 * AD^2.

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Answer:

this here is your answera good question

As the alternate hypothesis is a two-tailed test the p-value for this hypothesis test is 0.0512.

Here the null hypothesis, H₀, is μ₁ =μ₂

    Alternate hypothesis,  H₁ , is  μ₁ ≠ μ₂

The statistical test is said to be a two-tailed test. So the critical area of of distributions are on both sides of the range.

Here t test-ind method for spicy module is used.

The output is given as (-1.99 , 0.0512)

In such an output the first value is the test statistic value and second value is the p-value.

So the test statistic value = -1.99

p-value = 0.0512.

So the p-value is 0.0512.

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Answer:

It is true

Step-by-step explanation:

20/-7 is ~2.56

-2.8 (8 repeating) is -2.8......

So it is true

Hope this helps!

Answer:

True

Step-by-step explanation:

Answer:

combine like terms

Answer:

90mm^2= 90×10^-2 = 0.9 cm^2

The population of a town increased by 1.5% per year from 1995 to 2015. The town's population at the beginning of 1995 was 16112. The 1-year growth factor for the town's population is 1.49%.

The population of a town increased by 1.5% per year from 1995 to 2015.

So, rate of growth is 1.5%.

The town's population at the beginning of 1995 was 16112.

So, initial population is 16112.

And we have to calculate 1 year growth factor.

So, we will use the formula i.e.

x(t) = \(x_{o}\) × (1 + r) t

Here, Initially the Population is \(x_{o}\) =16112

Growth Rate (%) (r) = 1.5

Number of years (t)= 1

So, we get=

x(t)=16112 × (1+1.5) 1

x(t)=16353.67

To calculate growth factor = (Final population- Initial population/ Initial population) *100

= (16353.67-16112/16112) *100

=1.49%

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Answer:

dos  palabras viva el tequila

Step-by-step explanation:

atu vieja se lo voy a meter xd xd xd xd xd xd xd xd xd xd xd xd

Rounding 2646.3636 to one significant figure, the estimated answer is 3000.

To estimate the answer to 71 x 8.2 / 0.22 and round to one significant figure, we need to perform the calculations and apply the rounding rule.

First, let's perform the multiplication: 71 x 8.2 = 582.2.

Next, we divide the result by 0.22: 582.2 / 0.22 = 2646.3636 (rounded to 4 decimal places).

Now, we need to round the result to one significant figure.

The general rule for rounding is to look at the digit immediately to the right of the desired significant figure.

If that digit is 5 or greater, we round up; if it is less than 5, we round down.

In this case, the digit immediately to the right of the desired significant figure is 6.

Since 6 is greater than 5, we round up the desired significant figure, which is the first digit, to the next higher number.

Therefore, rounding 2646.3636 to one significant figure, the estimated answer is 3000.

Please note that rounding to one significant figure may result in a loss of precision and significant digits in the final answer.

It is important to consider the context and accuracy requirements when rounding to a specific number of significant figures.

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If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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Answer:

point-slope form: \(y+1=\frac{-3}{2}(x-3)\)

slope-intercept form: \(y=\frac{-3}{2} x+\frac{7}{2}\)

Step-by-step explanation:

find the slope of the line using two points on the graph, and then you can get your equation in point-slope form. if you need it in slope-intercept form, you can re-arrange your point-slope form equation.

hope this helps :)

Answer:

1/3

Step-by-step explanation:

just took the quiz

Answer:

4 years

Step-by-step explanation:

I = $ 400

R = 5%

P =$ 2000

I = Prt

400 = 2000 * \(\frac{5}{100}\) * t

400 = 20 * 5 * t

400 = 100 t

\(\frac{400}{100}=t\)

t = 4 years

The second equation is= x+y=125.

According to our question-

After the first quick wash, each additional quick wash costs $5.

Y premium washes cost $8 per after the first one, which cost $8.

They combined rapid and premium washes to make $775, for a total profit of $(5x+8y), or $775. The initial equation reads

5x+8y=775.

2. They had washed 125 vehicles, x using rapid wash and y using premium wash, for a total of x+y. The second equation is then

x+y=125.

Hence, The second equation is= x+y=125.

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Answer:

(a) 87.5 g

(b) 0.7 g per cubic cm

Step-by-step explanation:

side of each cube, s = 5 cm

total mass, M = 525 g

(a) mass of each cube, m = M/6 = 525/6 = 87.5 g

(b) Volume of each cube = s x s  s = 5 x 5 x 5 = 125 cubic cm

mass per cubic cm = 87.5/125 =0.7 g per cubic cm

Answer:

hi

Step-by-step explanation:

hi

Julie will reach her goal 21 days before Mary.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Mary and Julie both have a goal of raising $1000 for charity.

Mary raises money in every 4 days = $12.

In one day Mary raises money = 12/4

                                                   = $3

Mary needs time to reach her goal = 1000/3

                                                         = 333.33  ≈ 334 days

Julie raises money in every 6 days = $19

In one day Julie raises money = 19/6

                                                  = $3.1666 ≈ $3.2

Julie needs time to reach her goal = 1000/ 3.2

                                                          = 312.5 ≈ 313 days

Difference of the days between both of them to reach their goal

= 334 - 313 = 21 days  

Julie will reach her goal first, 21 days before Mary.

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Answer: x = -1

Step-by-step explanation:

6x-2x+8 = x+5

4x+8 = x+5

3x = -3

x = -1

Answer:

4x + 8 = x + 5

4x - x = 5 - 8

3x = -3

x = -3/3

x = -1

Step-by-step explanation:

\(15 \: ≤ \: \frac{t}{5} \)

\(HOPE \: IT \: HELPS \: YOU\)