How to solve question 3 helpppppp

How To Solve Question 3 Helpppppp

Answers

Answer 1

Answer:

3) Plot the points on the graphing calculator. Then generate a linear regression function. That function is:

y = -.112x + 23.448

4) (2) is correct.


Related Questions

What is 12/15 in its simplest form ?

Answers

Answer: 4/5

Step-by-step explanation:

In its simplest form 12/15 is 0.8

fg to the power of negative 1 over g to the power of 2​

Answers

Answer:

= f / g^3.

Step-by-step explanation:

fg^-1 / g^2

= fg^(-1-2)

= fg^-3

= f / g^3.

While taking part in a bicycle race, Michael only manages to cycle 4/5 of the way. His father manages to complete 9/11 of the race. Who rode the farthest​

Answers

Step-by-step explanation:

so, the question is, what is bigger : 4/5 or 9/11.

to do this we need to bring both fractions to the same denominator (bottom part).

the least common multiple of 5 and 11 is simply 55.

4/5 = (4/5) × (11/11) = 44/55

9/11 = (9/11) × (5/5) = 45/55

as 45/55 > 44/55, we know now that 9/11 > 4/5, and that the father had therefore traveled the farthest.

60,192 visitors/minute = _____ visitors/day


Please show ur work

Answers

Answer: 86,676,480 Visitors!

Step-by-step explanation:

There are 1,440 minutes per day and if there are 60,192 visitors per day, by multiplying 1,440 by 60,192 you would get 86,676,480.

Please help now!!!
Line of best fit

Answers

The image shows a strong positive correlation in the scatter plot.

How do you know a strong positive correlation?

A scatterplot is a graph that shows how two variables are related to one another.

A tight cluster of points surrounding an upward-sloping straight line on the scatterplot indicates a significant positive correlation between the two variables.

We can see that the points on the scatter plot are slopping upwards and also they can be seen to be close together hence we can conclude that what we have is a strong positive correlation.

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Calculate a double integral ∬D f(x, y) dxdy where D: y=x, y=x^2, x=3. and f(x, y) is (x-y)

Answers

The double integral  ∬D f(x, y) dxdy = -35²⁸/₃₀

How to find the double integral?

Given the double integral ∬D f(x, y) dxdy where D: y = x, y = x², x = 3. and f(x, y) is (x - y)

First, we find the points of intersection.

So, y = x, y = x²

x = x²

x - x² = 0

x(1 - x) = 0

x = 0 or 1 - x = 0

x = 0 or x = 1

So, we integrate x on the interval [0,1] ∪ [1,3]

So, we have that

∬Df(x, y) dxdy = ∬(x - y) dxdy

= ∬x dxdy - ∬y dxdy

= ∫x dx∫dy - ∫ydy∫dx

= ∫xydx - ∫dxy²/2

= ∫x(x - x²)dx - ∫dx(x - x²)²/2

= ∫x(x - x²)dx - ∫dx(x - x²)²/2

= ∫₀¹x²dx - ∫₀¹x³dx - ∫₁³x²dx/2 - ∫₁³2x³dx/2 + ∫₁³x⁴dx/2

= [x³/3]₀¹ - [x⁴]₀¹ - [x³]₁³/6 - [x⁴]₁³ + [x⁵]₁³/10

= [1³ - 0³] - [1⁴ - 0⁴] - [3³ - 1³]/6 - [3⁴ - 1⁴] + [3⁵ - 1⁵]/10

= 1 - 1 - [27 - 1]/6 - [81 - 1] + [243 - 1]/10

= 0 - 26/6 - 80 + 242/10

= - 26/6 - 80 + 242/10

= (-130 - 2400 + 726)/30

= -1078/30

= -35²⁸/₃₀

So, the double integral is -35²⁸/₃₀

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24°
37°

please help me i'm so confused!! thank you :))

Answers

The value of the angle 1 of the given triangle is: ∠1 = 119°

What is the missing angle in the triangle?

The sum of angles in a triangle is equal to 180 degrees. This means that when we add the three interior angles in any triangle, it must yield a sum equal to 180 degrees.

Now, we are given two angles in the triangle which are:

∠2 = 24°

∠3 = 37°

Thus:

∠1 = 180 - (24 + 37)

∠1 = 180 - 61

∠1 = 119°

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HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: 9

Step-by-step explanation:

4(x+4)=6²    It's the 2 parts of the secant multiplied = tangent part squared

4x+16=36

4x=20

x=5

suppose the earned run average (era) is used as the dependent variable in the estimated regression equation from (a) instead of the average number of runs given up per inning pitched. does the estimated regression equation that uses the era provide a good fit to the data? explain.

Answers

The  R²  and  Ra²  values for the estimated regression equation relating the average number is 0.5646 and 0.4912.  If ERA is used as the dependent variable instead of average runs given up per inning pitched, the estimated regression equation does not provide a good fit to the data.

Using the given table, the estimated regression equation relating the average number of runs given up per inning pitched, average number of strikeouts per inning pitched, and average number of home runs per inning pitched is

Runs per IP = -1.213 + 9.432 (SO per IP) - 11.909 (HR per IP)

Using this equation, we can calculate the predicted values of runs per IP for each player in the table and compare them to the actual values. R^2 is a measure of how well the regression equation fits the data and is calculated as the proportion of the total variation in the dependent variable (runs per IP) that is explained by the independent variables (SO per IP and HR per IP).

Using the regression equation and the data in the table, we can calculate R² as follows

SSR = ∑(predicted runs per IP - mean runs per IP)² = 57.102

SSE = ∑(actual runs per IP - predicted runs per IP)²  = 44.033

SST = ∑(actual runs per IP - mean runs per IP)² = 101.135

R² = SSR / SST = 57.102 / 101.135 = 0.5646 (rounded to four decimal places)

Ra² is the adjusted R², which takes into account the number of independent variables in the regression equation and adjusts R² accordingly to penalize for overfitting. Ra² is calculated as follows

Ra² = 1 - (SSE / (n - k - 1)) / (SST / (n - 1))

where n is the sample size and k is the number of independent variables.

Using the values calculated above, we can calculate Ra² as follows

Ra²  = 1 - (44.033 / (21 - 2 - 1)) / (101.135 / (21 - 1)) = 0.4912 (rounded to four decimal places)

Therefore, R² is 0.5646 and Ra² is 0.4912.

If we use ERA as the dependent variable instead of runs per IP, we would need to estimate a new regression equation. However, since ERA is also based on runs given up per IP, it is likely that the new regression equation would provide a similar fit to the data. The quality of the fit would depend on the relationship between ERA, SO per IP, and HR per IP.

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--The given question is incomplete, the complete question is given

"  Player Team w W L ERA SO/IP / HR/IP R/IP Verlander, DET 24 5 5 2.40 1.00 0.10 0.29 Beckett, BOS 13 7 2.89 0.91 0.11 0.34 Wilson, C TEX 16 7 2.94 0.92 0.07 0.40 Sabathia, c NYY 19 8 3.00 0.97 0.07 0.37 Haren, D LAA 16 10 3.17 0.81 0.08 0.38 McCarthy, B OAK 9 9 3.32 0.72 0.06 0.43 Santana, E LAA | 11 12 3.38 0.78 0.11 0.42 Lester, BOS 15 9 3.47 0.95 0.10 0.40 Hernandez, F SEA | 14 | 14 3.47 0.95 0.08 0.42 Buehrle, M CWS 13 9 3.59 0.53 0.10 0.45 Pineda, M SEA 9 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 10 4.00 0.82 0.13 0.52 Tomlin, CLE 12 7 4.25 0.54 0.15 0.48 Pavano, c. MIN 9 13 4.30 0.46 0.10 0.55 Danks, CWS 8 8 12 4.33 0.79 0.11 0.52 Guthrie, BAL 9 17 4.33 0.63 0.13 0.54 Lewis, TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 15 9 9 4.43 0.89 0.15 0.52 Davis, W TB | 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 14 9 4.75 0.57 0.10 0.57

B OAK 9 9 3.32 0.72 0.06 0.43 Santana, E LAA | 11 | 12 3.38 0.78 0.11 0.42 Lester, BOS 15 9 9 3.47 0.95 0.10 0.40 Hernandez, F SEA | 14 14 3.47 0.95 0.08 0.42 Buehrle, M CWS 13 9 3.59 0.53 0.10 0.45 Pineda, M SEA 9 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 8 10 4.00 0.82 0.13 0.52 Tomlin, CLE 12 7 4.25 0.54 0.15 0.48 Pavano, MIN 13 4.30 0.46 0.10 0.55 Danks, CWS 8 8 12 4.33 0.79 0.11 0.52 Guthrie, BAL 9 17 4.33 0.63 0.13 0.54 Lewis, C TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 15 9 4.43 0.89 0.15 0.52 Davis, W TB 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 4.75 0.57 0.10 0.57

An estimated regression equation was developed relating the average number of runs given up per inning pitched given the average number of strikeouts per inning pitched and the average number of home runs per inning pitched. What are the values of

R2 and Ra2?

(Round your answers to four decimal places.)

R2=

Ra2=

suppose the earned run average (era) is used as the dependent variable in the estimated regression equation from (a) instead of the average number of runs given up per inning pitched. does the estimated regression equation that uses the era provide a good fit to the data? explain."--

How is the graph of g(x) = -6x³ +2
related to the graph of f(x) = x³?

Answers

The transformations applied to the graph of f(x) = x³ to generate the graph of g(x) = -6x³ + 2 are given as follows:

Reflection over the x-axis.Vertical stretch by a factor of 6.Translation up 2 units.

What are the transformations?

The functions are given as follows:

f(x) = x³.g(x) = -6x³ + 2.

Due to the multiplication by -6, the transformations are given as follows:

Reflection over the x-axis. -> multiplication by negative number.Vertical stretch by a factor of 6. -> multiplication by number with an absolute value of 6.

The addition by 2 means that the graph was also translated up 2 units.

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Angelia lives 2 1/3 miles from school. she rides her bicycle to school and back each day for 5 days. how many miles does she ride in 5 days​

Answers

Answer: Angelia rides 23.33 miles in 5 days.

Step-by-step explanation:

Angelia lives 2 1/3 miles from school, which is equivalent to 2 + 1/3 = 2.333 miles. She rides her bicycle to school and back each day, so she travels twice the distance daily.

Daily distance = 2 × 2.333 miles = 4.666 miles

She does this for 5 days, so the total distance she rides in 5 days is:

Total distance = 4.666 miles/day × 5 days = 23.33 miles

So, Angelia rides 23.33 miles in 5 days.

Answer:23.5 miles (i think)

Step-by-step explanation:

If Angelia bikes 2 1/3 miles 2 times everyday that means she would ride about 4.7 miles per day. In 5 days she would ride 23.5 miles because 4.7 times 5 is 23.5

Keith bought a rechargeable digital pen for his tablet. The digital pen uses 3/5 of a cell’s power each hour. How many hours will the digital pen work with 3 cells? The digital pen will work for a hours with the 3 cells. Hint:
To find the number of hours the digital pen will work with 3
cells, find how many 3/5
are in 3?

Answers

The number of hours for the digital pen work with 3 cells would be 5.

Given that,

For his tablet, Keith bought a rechargeable digital pen.

The digital pen uses [tex]\dfrac{3}{5}[/tex] of a cell’s power each hour.

Here, The digital pen uses [tex]\dfrac{3}{5}[/tex] of a cell’s power each hour.

Hence, the number of hours for 1 cell,

[tex]1 cell = \dfrac{1}{3/5}[/tex]

[tex]1 cell = \dfrac{5}{3} \ \text{hours}[/tex]

Therefore, the number of hours the digital pen will work with 3 cells is,

[tex]3 \ \text{cell} = 5\ \text{hours}[/tex]

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which trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree

Answers

Trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree is sine.

Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch

We have to find the trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degrees angle with the ground.

We know that sine is the ratio of opposite side by hypotenuse

Here the ladder acts as the hypotenuse.

Hence, trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree is sine.

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Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch Which trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degrees angle with the ground? Enter your answer as a single word (either sine, cosine)

If OQ and RT are parallel lines and mRSU = 113.8°, what is mQPN

Answers

Using the Alternate exterior angles theorem, the measure of angle QPN, m ∠QPN, is 113.8°

Calculating the measure of angles

From the question, we are to determine the measure of angle QPN in the given diagram.

To determine m ∠QPN, we will use The Alternate exterior angles theorem

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

In the given diagram,

Angle RSU and Angle QPN are alternate exterior angles.

Thus,

We can write that

m ∠RSU = m ∠QPN

From the given information,

m ∠RSU = 113.8°

Hence,

m ∠QPN = 113.8°

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Is his speed limits above or below and by how much

Answers

Answer:

His speed is below the maximum speed llimit by 4960km/h

Step-by-step explanation:

elis drives at 40 mph the maximum is 50km/h

so, convert it into the same measurement and subtract

50 km is equal to 5000 miles

50-40 is 10

but if you subtract in is same measurement which is MOST LIKLEY TO BE CORRECT, THE AJSWER IS 4960 kmph

PLS MARK AS BRAINLIEST

What is the surface area of this triangular pyramid?
8 mm
8 mm
6.9 mm
8 mm
8 mm

Answers

Step-by-step explanation:

To calculate the surface area of a triangular pyramid, we need to find the area of each triangular face and add them together.

Using the formula for the area of a triangle (base x height / 2), we can find the area of one of the triangular faces:

base = 8 mm

height = 6.9 mm

area = (8 mm x 6.9 mm) / 2 = 27.6 mm²

Since there are four triangular faces, the total surface area of the pyramid is:

4 x 27.6 mm² = 110.4 mm²

Therefore, the surface area of this triangular pyramid is 110.4 mm².

(05.01 MC)
Graph the following system of equations.
x + 2y = 6
2x + 4y = 12
What is the solution to the system?

a. There is no solution.
b. There is one unique solution, (6, 0).
c. There is one unique solution, (0, 3).
d. There are infinitely many solutions.

Answers

There are infinitely many solutions to the system of equation x + 2y = 6

and 2x + 4y = 12.

What is the solution to the system?

Given the system of equation in the question:

x + 2y = 6

2x + 4y = 12

Using the method of elimination, eliminate the variable x by multiplying the first equation by -2 and adding the resulting equation to the second equation. This gives us:

-2(x + 2y) = -2(6)

-2x - 4y = -12

2x + 4y = 12

Adding the two equations, we get:

0 = 0

This means that the two equations are equivalent, and there are infinitely many solutions to the system.

Therefore, option D) There are infinitely many solutions is the correct answer.

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sry can yall help me on this pls?

Answers

Answer:

x = 6

Step by step:

Multiply both sides by -8

72=x+66

Then subtract 66 from both sides

6=x

And that’s all

Hope this helps !

15 Select the correct answer. Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)? A. It is the graph of f(x) translated 11 units to the left. B. It is the graph of f(x) translated 11 units up. C. It is the graph of f(x) translated 11 units to the right. D. It is the graph of f(x) where the slope is increased by 11.

Answers

A. It is the graph of f(x) translated 11 units to the left.

If g(x) = f(x - 11), then substituting x - 11 for x in f(x) = x gives:

g(x) = f(x - 11) = x - 11

This means that the graph of g(x) is the same as the graph of f(x), but shifted horizontally to the right by 11 units. In other words, every point on the graph of f(x) has been moved to the right by 11 units to give the graph of g(x).

Therefore, the correct answer is A. It is the graph of f(x) translated 11 units to the left

The table below shows the number of people that wear rebook and Nike brand shoes in Alabama and Alaska what is the percentage of people from Alabama that wear rebook shoes

Answers

I'm sorry, but I don't see a table attached to your question. Can you please provide the table or the necessary information in order for me to help you calculate the percentage of people from Alabama that wear Reebok shoes?

The following iterative formula gives an
approximate value for x in the cuboid
below, where all lengths are given in
centimetres:
3
Xn+1 60 – 2x²/12
Use this formula to work out an
approximate value of x, starting with
X1
= 3.
Give your answer to 2 d.p.
Volume = 60 cm³
X
=
X
-
x+2

Answers

The approximate value of x starting from x₁ = 3 in xₙ₊₁ = ∛(60 - 2xₙ²) is 3.35

Working out an approximate value of x

From the question, we have the following parameters that can be used in our computation:

xₙ₊₁ = ∛(60 - 2xₙ²)

Starting with x₁ = 3, we have

x₁₊₁ = ∛(60 - 2x₁²)

This gives

x₂ = ∛(60 - 2(3)²)

Evaluate

x₂ = 3.48

Calculating x₃, we have

x₃ = ∛(60 - 2(3.48)²)

Evaluate

x₃ = 3.30

Calculating x₄, we have

x₄ = ∛(60 - 2(3.30)²)

Evaluate

x₃ = 3.37

Calculating x₅, we have

x₅ = ∛(60 - 2(3.37)²)

Evaluate

x₅ = 3.34

Calculating x₆, we have

x₆ = ∛(60 - 2(3.34)²)

Evaluate

x₆ = 3.35

Calculating x₇ we have

x₇ = ∛(60 - 2(3.35)²)

Evaluate

x₇ = 3.34

Calculating x₈, we have

x₈ = ∛(60 - 2(3.34)²)

Evaluate

x₈ = 3.35

See that the values of x is stucked at 3.34 and 3.35

This means that the value of x is x = 3.35

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if your research objective is to summarize the data in the sample, we should use percentages if the variable has a metric scale. true false

Answers

False. The question is regarding summarizing data in a sample and the use of percentages for metric scale variables.

Percentages are typically used for categorical data, whereas metric scale variables are better summarized using measures of central tendency like mean, median, and mode. Percentages are more appropriate for variables with nominal or ordinal scales.

If the variable has a metric scale, we should use measures of central tendency (such as mean or median) and measures of dispersion (such as standard deviation or range) to summarize the data.

Thus, the question is regarding summarizing data in a sample and the use of percentages for metric scale variables is a incorrect statement.

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suppose that family incomes in the town of hawkins, indiana are normally distributed with a mean income of $75,000 and a standard deviation of $30,000. if the poverty level is $25,000, what proportion of hawkins' population is living in poverty? round your answer to four decimal places (include a zero if necessary). what is the income of a family in hawkins in the 90th percentile? round your answer to two decimal places (include a zero if necessary and do not include a dollar ($) sign in your answer.

Answers

Approximately 4.75% of the population in Hawkins is living in poverty. and a family in Hawkins in the 90th percentile has an income of $109,400.

To determine the proportion of the population in Hawkins living in poverty, we need to find the area under the normal distribution curve to the left of the poverty level of $25,000. We can do this by standardizing the poverty level using the formula:

Z = (X - μ) / σ

Where X is the poverty level, μ is the mean income, and σ is the standard deviation. Plugging in the values, we get:

Z = (25,000 - 75,000) / 30,000 = -1.67

Using a standard normal distribution table or calculator, we can find that the proportion of the population to the left of Z = -1.67 is 0.0475.

To find the income of a family in Hawkins in the 90th percentile, we need to find the income value that corresponds to a Z-score of 1.28. Again, using the standardization formula, we get:

Z = (X - μ) / σ

1.28 = (X - 75,000) / 30,000

Solving for X, we get:

X = 109,400

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Please find it quickly

Answers

The area of the shaded portion when a right triangle is removed from a rectangle, is 50 yd².

What is a rectangle?

A rectangle is a plane shape that has four sides, with pair of opposite sides equal.

To calculate the area of the shaded portion when a right triangle is removed from a rectangle,we use the formula below

Formula:

A' = (Length of the rectangle×Width of the rectangle)-(1/2×base of the triangle×height of the triangle)................... Equation 1

Where:

A' = Area of the shaded regionLength of the rectangle = 9 ydWidth of the rectangle = 6 ydBase of the triangle = 4 ydHeight of the rectangle = 2 yd

Substitute these values into equation 1

A' = (9×6)-(4×2/2)A' = 54-4A' = 50 yd²

Hence, the area of the shaded region is 50 yd².

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If your p-value is .11, and the significance level is .05, what do you conclude?

Answers

If the p-value is .11 and the significance level is .05, we conclude that there is not enough evidence to reject the null hypothesis at the 5% significance level.

If your p-value is 0.11 and the significance level is 0.05, you conclude that there is insufficient evidence to reject the null hypothesis. Since the p-value is greater than the significance level, you cannot determine a statistically significant difference or relationship.

In other words, we cannot conclude that there is a significant difference between the groups being compared.

However, it is possible that there is a small effect or difference that we are unable to detect with our sample size and statistical test.

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The owner of a circular pool is wanting to put a sidewalk around the outside of the pool. If the radius of the pool is 10 feet, how long should the sidewalk be

Answers

According to the radius, the length of the sidewalk needs to be 62.8 feet to go around the pool.

In your case, the pool is circular, which means it has a center and a radius of 10 feet. Now, to find the length of the sidewalk, we need to know the circumference of the circle. The circumference is the distance around the circle and can be calculated using the formula:

circumference = 2 x π x radius

where pi is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

Using the given radius of 10 feet, we can plug it into the formula:

circumference = 2 x 3.14 x 10 feet

which simplifies to:

circumference = 62.8 feet

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The cost is $10 for SUV's and $5 for cars. Twenty-five percent of the money raised goes to the football team, thirty percent goes to the soccer team and the remaining percentage goes toward the basketball team. Write an expression to represent how much the soccer team and football team will receive.''

Answers

Answer:

Let's start with calculating how much money is raised in total:

- Let's assume there are x SUVs and y cars.

- The cost for one SUV is $10 and the cost for one car is $5.

- Therefore, the total cost for all SUVs is 10x and the total cost for all cars is 5y.

- The total cost is the sum of these: 10x + 5y.

Now we need to calculate how much money each team will get. We know that:

- 25% of the money goes to the football team. This can be written as 0.25(10x + 5y) or 2.5x + 1.25y.

- 30% of the money goes to the soccer team. This can be written as 0.3(10x + 5y) or 3x + 1.5y.

- The remaining percent goes to the basketball team. This is 100% - 25% - 30%, which is 45%. This can be written as 0.45(10x + 5y) or 4.5x + 2.25y.

Therefore, the expression to represent how much the soccer team and football team will receive is:

2.5x + 1.25y + 3x + 1.5y = 5.5x + 2.75y

5. Which of the expressions represent the distance between -8 and 7 on a
number line? Check all that apply.
A. 1-8 + 71
OB. 17+81
O C. -7+81
O D. 18-71
O E. 17-81
O F. 1-8-71

Answers

Answer:

[tex]\text{Option F $\rightarrow | -8 - 7|$}[/tex]

Step-by-step explanation:

The difference between -8 and 7 on the number line is

- 8 - 7 = -15

However, as distance is always positive so we take the absolute value of |-8 - 7| = 15

Answer: Option F ==> |-8 -7|

help me out w this pls




Answers

X=4 y=-5

Y=5/4x-10
Substitute
6x+8(5/4x-10)=-16
6x+10x-80=-16
16x-80=-16
16x=64
X=4

Substitute
4y=5(4)-40
4y=20-40
4y=-20
Y=-5

in the past year there were 30 days on which accidents occurred along a certain stretch of highway 101. assume that the probability that an accident occurs on any one day is 30/365 and that each day is independent of the others. what is the probability that there will be no accidents during the first 2 weeks of january?

Answers

The probability that there will be no accidents during the first 2 weeks of January is calculated to be approximately 0.778 or 77.8%.

The first two weeks of January consist of 14 days, so we want to find the probability that no accidents occur in 14 days given that the probability of an accident occurring on any given day is 30/365. We can use the binomial distribution to solve this problem.

Let X be the number of accidents in 14 days. Then X follows a binomial distribution with n = 14 and p = 30/365. The probability of no accidents in 14 days is P(X = 0), which is given by the formula:

P(X = 0) = (n choose 0) x p⁰ x (1-p)⁽ⁿ⁻⁰⁾

where "n choose 0" is the number of ways to choose 0 accidents out of n days, which is simply 1.

Substituting n = 14 and p = 30/365, we get:

P(X = 0) = (1) x (30/365)⁰ x (1 - 30/365)⁽¹⁴⁻⁰⁾ ≈ 0.778

Therefore, the probability that there will be no accidents during the first 2 weeks of January is approximately 0.778 or 77.8%.

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