Find the midpoint of points A(-8,-9) and B(2,-5)

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Answer:

Step-by-step explanation:

so first you take 40 then musiply iy by 40

Answer: Look below

Step-by-step explanation:

Answer:

y=x-5 slope=1 y-intercept=-5

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

8x+10=12x−18

Step 1: Subtract 12x from both sides.

8x+10−12x=12x−18−12x

−4x+10=−18

Step 2: Subtract 10 from both sides.

−4x+10−10=−18−10

−4x=−28

Step 3: Divide both sides by -4.

-4x/-4 = -28/-4

answer: x=7

Answer:

X= 7

Step-by-step explanation:

8x+10 = 12x-18

10= 4x-18

28 = 4x

7 = x

Answer:

4min:1min

Step-by-step explanation:

60:15

divide by 5

12:3

divide by 3

4:1

Answer:

wow thats rich people in each of the three that you can get a good night at I can do that is to be a great time in Florida and I will send it s h j h j the

Answer:

185 anle with the postive measure and a negative measure

\(x^2 = 14^2 + 10^2 - 2(10)(14)\cos(44^{\circ}) \\ \\ x=\sqrt{14^2 + 10^2 - 2(10)(14)\cos(44^{\circ})} \\ \\ x\approx \boxed{9.73}\)

After conducting some mathematical operations, we know that the 3 friends will get $28 back in change from a $100 bill.

So, the change they will get back from $100:

The Coaster is $4.50:

4.50 × 3 (friends) = 13.5

13.5 × 2 (Twice) = $27

The Slide $4.00:

4.00 × 3 (friends) = 12

12 × 2 (Twice) = $24

The Drop $3.50:

3.50 × 3 (friends) = 10.5

10.5 × 2 (Twice) = $21

Change:

100 - (27 + 24 + 21)

100 - 72

$28

Therefore, after conducting some mathematical operations, we know that the 3 friends will get $28 back in change from a $100 bill.

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Complete question:
You and three friends are going to Wonderland Water Park. Your group plans to ride each water ride twice. Prices are shown in this table.

How much change will your group get back from a $100 bill?

Wonderland Water Park

The Coaster is $4.50

The Slide $4.00

The Drop$3.50

Amount in the account after 13 year is $1668.84.

Given data;

Robert put $860 into a savings account with a daily compound interest rate of 5.1%. Considering there have been no deposits or withdrawals;

Principal (P) = $860

Time (t) = 13

Compounding period in year (n) = 365

Rate of interest (R) = 5.1%

First, convert R as a percent to r as a decimal r = R / 100 r

                                                                              = 5.1 / 100 r

                                                                              = 0.051 rate per year  Then solve the equation for A;

A = P(1 + r/n)^nt

A = 860.00 * (1 + 0.051/365)^(365)(13)

A = 860.00(1 + 0.00013972602739726)^(4745)    

A = $1,668.84

So,

Amount in the account after 13 year = $1668.84

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Answer:

well, if the number cube has 4 sides then the answer is 1/2

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

417

Step-by-step explanation:

900-483=417

1) a = 0.60 , The MAD for this forecast is 4.5 surgeries.

2)a = 0.90, The MAD for this forecast is 3.46 surgeries.

3)Using a 3-year moving average, The MAD for this forecast is 7.0 surgeries.

4)The trend-projection method provides forecasts for years 1 through 6: 46.6, 49.8, 53.0, 56.2, 59.4, and 62.6 surgeries, respectively. The MAD for the trend-projection method is not provided.

Exponential smoothing is a forecasting method that assigns exponentially decreasing weights to historical data, with the most recent data given the highest weight. By adjusting the smoothing factor (a), we can control the responsiveness of the forecast to recent changes. A higher value of a gives more weight to recent data.

In the given scenario, when using exponential smoothing with a = 0.60, the forecast for year 1 (44.0 surgeries) is taken as the initial forecast. The subsequent forecasts are calculated by adding a proportion of the difference between the actual observation and the previous forecast.

This results in the forecasted values of 46.4, 47.4, 50.8, 53.9, and 57.6 surgeries for years 2 through 6, respectively.

Similarly, when using exponential smoothing with a = 0.90, the forecast for year 1 remains the same (44.0 surgeries). The subsequent forecasts are adjusted based on a higher weight given to recent observations.

This leads to the forecasted values of 47.6, 48.0, 52.5, 55.6, and 59.6 surgeries for years 2 through 6, respectively.

On the other hand, the 3-year moving average forecast considers the average of the past three observations to make future predictions. For years 4 through 6, the moving average forecasts are 49.7, 52.3, and 56.3 surgeries, respectively.

Finally, the trend-projection method incorporates both the historical data and the trend observed in the data. It assumes that there is a linear relationship between the time period and the number of surgeries.

By fitting a trend line to the data, the method predicts future values. In this case, the trend-projection method yields the forecasts of 46.6, 49.8, 53.0, 56.2, 59.4, and 62.6 surgeries for years 1 through 6, respectively. The MAD for this method cannot be calculated based on the given information.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

We can describe the output of the graph for:

This is referred to as a pictorial representation or a diagram that represents data or values in an organized manner.

From the graph given, we can deduce that the variation at 0-1 curve is small while the variation at 3-4 curve is large which is therefore the reason why slow and rapid output were chosen respectiviely.

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The age of the oldest of the five friends is 19 years and the youngest is 12 years.

The given information is in a group there are five friends, the sums of the ages of each group of four of them are 58, 59, 61, 62 and 64.

The range of a data set is the difference between smaller values and a larger value in the set.

To find the age of the oldest person

Range=oldest age -the youngest age

\(oldest=\frac{Range-youngest age}{4}\)

R=(64-58/4)+(64-59/4)+(64-61/4)+64-62/4)

R=1.5+1.241+0.75+0.5

R=3.991.

64/4=16.

O=16+3.991

Oldest=19 years.

Youngest=16-3.9=12 years.

Hence, the age of the oldest of the five friends is 19 years.

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The average percentage by mass of calcium throughout the tooth is approximately 0.0514%.mass of calcium throughout the tooth.

To calculate the average percentage by mass of calcium throughout the tooth, we need to follow a series of steps based on the information provided.

Step 1: Determine the number of moles of EDTA used in the titration.

Given that 22.5 mL of 0.02 M EDTA was used, we can calculate the number of moles (n) of EDTA:

n = (0.02 mol/L) × (0.0225 L) = 0.00045 mol

Step 2: Determine the number of moles of calcium in the 10 mL solution used.

Since the molar ratio of EDTA to calcium is 1:1, the number of moles of calcium (n_Ca) is also 0.00045 mol.

Step 3: Calculate the number of moles of calcium in the entire 250 mL solution.

Since 10 mL of the solution was used, the entire solution has a volume of 250 mL. Using the dilution formula:

C1V1 = C2V2

(0.00045 mol) × (10 mL) = n_Ca × (250 mL)

n_Ca = (0.00045 mol) × (10 mL) / (250 mL)

n_Ca = 0.000018 mol

Step 4: Calculate the mass of calcium in the entire tooth.

Given that 1.40 g of the tooth was used, the average percentage by mass of calcium (%Ca) can be calculated using the equation:

%Ca = (mass of calcium / mass of tooth) × 100

%Ca = (molar mass of calcium × n_Ca / 1.40 g) × 100

The molar mass of calcium is 40.08 g/mol.

%Ca = (40.08 g/mol × 0.000018 mol / 1.40 g) × 100

%Ca = 0.0514 %

Therefore, the average percentage by mass of calcium throughout the tooth is approximately 0.0514%.mass of calcium throughout the tooth.

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A) The best point estimate of the population P is 0.5399

B) The value of margin of error E.≈ 0.0267 (Round to four decimal places as needed)

C) A confidence interval is 0.5132 < p < 0.5666

A) The best point estimate of the population proportion (P) is calculated by dividing the number of respondents who said "yes" (x) by the total number of respondents (n).

In this case,

P = x/n = 557/1032 = 0.5399 (rounded to four decimal places).

B) The margin of error (E) is calculated using the formula: E = z * sqrt(P*(1-P)/n), where z represents the z-score associated with the desired confidence level. For a 99% confidence level, the z-score is approximately 2.576.

Plugging in the values,

E = 2.576 * sqrt(0.5399*(1-0.5399)/1032)

≈ 0.0267 (rounded to four decimal places).

C) To construct a confidence interval, we add and subtract the margin of error (E) from the point estimate (P). Thus, the 99% confidence interval is approximately 0.5399 - 0.0267 < p < 0.5399 + 0.0267. Simplifying, the confidence interval is 0.5132 < p < 0.5666 (rounded to four decimal places).

In summary, the best point estimate of the population proportion is 0.5399, the margin of error is approximately 0.0267, and the 99% confidence interval is 0.5132 < p < 0.5666.

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Answer:

Step-by-step explanation:

We can see g(x) is -f(x) and it is shifted downward by 4 units so

g(x)=-x^2-4 (answer B)

The graph of the function g ( x ) = -x² - 4 is plotted

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

where the graph of the function g ( x ) is

g ( x ) = -x² - 4

Hence , the function is g ( x ) = -x² - 4

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Answer:

Step-by-step explanation:

Distance formula looks a little like pythagorean because that where it comes from

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

=\(\sqrt{(-1-(-2))^{2}+(3-1)^{2} }\)

=\(\sqrt{1^{2}+2^{2} }\)

=√5 or 2.24

Answer:

23 cards.

Step-by-step explanation:

After Monday, Esteban has 12 cards.

After Tuesday, Esteban has 12 + 24 = 36 cards.

He gave to his sister x cards.

36 - x = 13

36 = 13 + x

23 = x

In regression analysis , the error term ε is a random variable with expected value of 0.

What is regression analysis?

A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.

Main Body:

In regression analysis, the model in the form is called regression model.

The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.

So the answer  to error term is 0.

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Answer:

3.2

Step-by-step explanation:

Answer:

the answer is 11.6 feet

Step-by-step explanation:

you simply subtract the feet of the depth he was at at 2:55pm from his depth at 2:50pm