Write the slope of the line passing through the two points: A(–1,4) and B(2,−2).

Answer:

32 Is Eight More Than 3 Times A Number

Explanation:

32 Is Eight More Than: + 8 = 32

3 Times A Number: 3y

Put Everything Together: 3y + 8 = 32

Step-by-step explanation:

Hey there!

3y+8 = 32 --> The sum of thrice of a number and 8 is 32.

Reason:

So, the word problem for this equation is " The sum of thrice of a number and 8 is 32.

Hope it helps...

To calculate the final concentration of a solution when water is added, you need to know the initial concentration of the solution and the volume of water added.

The final concentration of a solution can be determined using the formula:

Final Concentration = (Initial Concentration * Initial Volume) / (Initial Volume + Volume of Water Added)

By plugging in the values for the initial concentration and the volume of water added, you can calculate the final concentration of the solution.

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This probability represents the probability that over 18% of the new cars will have electrical problems in this group.

a. The sampling distribution of the sample proportion can be described as a binomial distribution. The mean of the sampling distribution is equal to the population proportion, which is 14% or 0.14. The standard deviation can be calculated using the formula:

Standard Deviation = sqrt(p * (1 - p) / n)

where p is the population proportion and n is the sample size. In this case, the standard deviation is:

Standard Deviation = sqrt(0.14 * (1 - 0.14) / 128)

b. To find the probability that over 18% of the new cars will have electrical problems in this group, we need to calculate the probability of the sample proportion being greater than 18%.

To do this, we can use the sampling distribution we described earlier, which is a binomial distribution. We can approximate this binomial distribution using the normal distribution since the sample size is reasonably large (n = 128) and apply the continuity correction.

First, we need to calculate the z-score corresponding to the proportion of 18%:

z = (p - μ) / σ

where p is the proportion we're interested in, μ is the mean of the sampling distribution (0.14), and σ is the standard deviation of the sampling distribution.

z = (0.18 - 0.14) / sqrt(0.14 * (1 - 0.14) / 128)

Once we have the z-score, we can find the corresponding probability using the standard normal distribution table or a statistical calculator:

P(z > calculated z)

This probability represents the probability that over 18% of the new cars will have electrical problems in this group.

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Answer:

3990 miles

Step-by-step explanation:

570 miles per hour

7 hours

570x7=3990

Answer:

y=-1/4x-1

How to find the slope

To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.

In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.

Slope: -1/4x

How to find the y-intercept

To find the y-intercept, you need to look at where the line crosses y.

In this graph the line crosses y at -1.

Y-intercept: -1

Final equation: -1/4x-1

Answer:

y+3= 1/5 (x+2)

Step-by-step explanation:

The point slope form looks like this.

y - y1 = m (x - x1)

the m represent slope and (x1, y1) are the coordinates of the point that the line passes through.

integral to calculate the volume of the solid that is the base common inerior of the sphere x² + y² + z² =80 and about the paraboloid z = 1/2 (x² + y² ).Volume = ∭dv From the equation of the sphere,x² + y² + z² = 80 .....(1)From the equation of the paraboloid, z = 1/2 (x² + y²) => x² + y² = 2z... (2)The projection of the intersection of the sphere and the paraboloid onto the xy-plane is the circle x² + y² = 80/3.The limits of integration for z are 0 and 80 - x² - y². Thus, the integral becomesV = ∬R(80 - x² - y²) dA where R is the region in the xy-plane bounded by the circle x² + y² = 80/3 (projection of the intersection of the sphere and the paraboloid).Converting to polar coordinates, we have x = rcosθ, y = rsinθ, and dA = r dr dθ. R is the circle x² + y² = 80/3, so the limits of integration for r are 0 and sqrt(80/3).Thus,V = ∫₀²π ∫₀sqrt(80/3) (80 - r²) r dr dθV = π/3 (6400/3 - 3200/3)sqrt(80/3) = (6400/9)πsqrt(80/3) Therefore, the integral to calculate the volume of the solid is:V = (6400/9)πsqrt(80/3)The graph of the solid

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Answer:

BAC and DAE are two acronyms for BAC and DAE, respectively. Since they are angles at a point, an arc measuring 204 degrees is 360 degrees. BAC is measured at 11 degrees. 5(11)° = 55° is the measure of DAE.

Step-by-step explanation:

Answer:

You just estimated

Step-by-step explanation:

Answer:

C 60 inches

Step-by-step -

60 x 2 = 120, which is both lengths, and since he width is half the length, then 30 x 2 = 60. So 130 (length) + 60 (width) = 180. So 60 inches would be the maximum length for both sides.

Answer:

C

Step-by-step explanation:

I just took the unit test

5-6--10=9 I hope it helps

Answer:

\(x=25\)

Step-by-step explanation:

\(x-16=9\\x=9+16\\x=25\)

Hope it helps

The sample size used in this study with a 95% confidence interval for a population mean reported to be 152 to 160 and a standard deviation (s) of 15 is approximately 35.

To find the sample size used in this study with a 95% confidence interval for a population mean reported to be 152 to 160 and a standard deviation (s) of 15, you can follow these steps:

1. Calculate the margin of error by taking the difference between the upper limit and the lower limit, and divide it by 2.
Margin of Error = (160 - 152) / 2 = 8 / 2 = 4

2. Use the z-score corresponding to the 95% confidence interval. In this case, the z-score is approximately 1.96.

3. Use the formula for the margin of error: Margin of Error = (z-score * s) / sqrt(n), where n is the sample size.

4. Rearrange the formula to solve for the sample size (n):
n = (z-score * s / Margin of Error)²

5. Substitute the values into the formula:
n = (1.96 * 15 / 4)²

6. Calculate the sample size (n):
n ≈ 34.57

Since the sample size must be a whole number, round up to the nearest whole number, which is 35.

The sample size used in this study with a 95% confidence interval for a population mean reported to be 152 to 160 and a standard deviation (s) of 15 is approximately 35.

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The three true statements about the two triangles are:
- Î"xyz is similar to Î"x'y'z'
- Angle xzy is congruent to Angle y'z'x'.
- The length of yx is twice the length of y'x'

1. Î"xyz ~ Î"x'y'z': The two triangles are similar because the reflection preserves the shape and the dilation with a scale factor of one-half changes the size proportionally.
2. Angle xzy ≅ Angle y'z'x':

Since the triangles are similar, their corresponding angles are congruent.

The reflection and dilation transformations do not affect the angle measures.
3. yx = 2y'x':

Due to the dilation with a scale factor of one-half, the corresponding side lengths of the triangles have a ratio of 2:1. So, the length of yx is twice the length of y'x'.

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Responde 56:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

67-11=56

The number of buses - the number of red buses = The number of buses that were not red.

After re-financeing his home loan, Garrets mortage payment is 30 percent less that it used to be the value of Garretts monthly payment now is 2191.

A hypothec loan, also known as a mortgage loan, is a type of loan that is commonly used by real estate purchasers to secure funds for the purchase of property, or by property owners seeking to obtain funds for any purpose, while simultaneously placing a lien on the property being mortgaged. In essence, a mortgage can be described as a situation where a borrower provides collateral in exchange for a loan.

we need to find how much is Garretts monthly payment now:

therefore first we need to find 30% of 3130 that is,

30 x 3130/100 = 939

now we need to subtract this value from the originally mortgage amount

therefore, 3130 - 939 = 2191

therefore, the value of Garretts monthly payment now is 2191.

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The area under the probability density function to the left of the mean for the standard normal distribution is 0.5.

The standard normal distribution, also known as the Z-distribution, is a bell-shaped distribution with a mean of zero and a standard deviation of one. The area under the curve of a probability density function represents the probability of an event occurring. Since the mean of the standard normal distribution is at the center of the distribution, the area to the left of the mean is symmetrically equal to the area to the right of the mean. Therefore, the area under the probability density function to the left of the mean is 0.5 or 50%. This means that there is a 50% probability of observing a value less than the mean in a standard normal distribution.

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Answer:

2h 30min

Step-by-step explanation:

130km ÷ 52km/h = 2.5h

                            = 2h 30min

25

Step-by-step explanation:

because 5^6=78125

Answer:

I would but its confusing

Answer:

I do know that when you are reading a graph, Domain is read and analyzed from left to right while the range is read an analyzed bottom to top

Step-by-step explanation:

hope this helps :)

To find missing coordinates in geometric proofs, you can use various methods such as the distance formula, midpoint formula, and slope formula. These formulas help you calculate the coordinates of a point based on the information you have about other points in the figure.

In geometric proofs, it is often necessary to determine the coordinates of a point based on the given information. One method to find missing coordinates is by using the distance formula. This formula states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of [\((x2 - x1)^2 + (y2 - y1)^2]\). By using the known distances between points and applying this formula, you can solve for the missing coordinates.

Another approach is to use the midpoint formula. This formula allows you to find the coordinates of the midpoint between two given points. It states that the midpoint coordinates (x, y) are given by \([(x1 + x2)/2, (y1 + y2)/2]\), where (x1, y1) and (x2, y2) are the coordinates of the given points. By plugging in the known values and solving for the missing coordinates, you can determine the coordinates of the desired point.

Lastly, the slope formula can be utilized to find missing coordinates. This formula states that the slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1)/(x2 - x1). By knowing the slope of a line and one point on that line, you can use the formula to find the coordinates of the missing point.

In conclusion, the distance formula, midpoint formula, and slope formula are useful tools in finding missing coordinates in geometric proofs.

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The correct answer is (a). fail to reject the null hypothesis at null= 0.05 and all larger null.

The null hypothesis (H0) in this case is that β1=0, meaning that there is no relationship between the independent and dependent variables in the regression study.

The alternative hypothesis (Ha) is that β1≠0, meaning that there is a relationship between the independent and dependent variables.

The 95% confidence interval for β1 is (-5.65, 2.61). This means that we are 95% confident that the true value of β1 falls within this range. Since the range includes 0, we cannot reject the null hypothesis that β1=0.

Therefore, we fail to reject the null hypothesis at a significance level of 0.05 (null=0.05) and all larger significance levels.

In other words, there is not enough evidence to suggest that there is a relationship between the independent and dependent variables in the regression study, so we cannot reject the null hypothesis.

Hence, fail to reject the null hypothesis at null=0.05 and all larger null is the correct answer, i.e., option (a)

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Answer:

17√3

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is √3 times larger than the legs.

17*√3 = 17√3

Answer:

We need the hourly rate for renting the bicycle.  Assuming that the rate is Rb, we can state:  Cb = AED5.00 + Rb*x for renting a bicycle for x hours

Step-by-step explanation:

Assuming that the rate for renting a bicycle is Rb, the cost (in AED), Cb (in AED/hr), of a bicycle rental for x hours would be:

Cb = AED5.99 + Rb*x    

Assuming the transportation fee applies, the cost of renting a canoe for 6 hours would be:        AED = 5 + 2.00*6   , or AED17 for 6 hours