Use the following probability model to answer the question.
Event: For each adult resident in a city we ask how many
vehicles they own.
Number of Vehicles
Probability
0.04
0
1
0.41
0.38
0.13
UWN
0.03
0.01
Find the probability that an adult resident has 3 or more
vehicles. Give your answer as a number between 0 and 1.

Answer:

i think it is area of first triangle +area of rectangle + area of third triangle

Answer:

I think 12 is 5he right answer

Answer:

Parallel: The slope is the same as in the previous equation. So, y=3x+b. To find the value of b, you plug in the given point, 2=3(3)+b, b=-7. So the equation is y=3x-7.

Perpendicular: The slope is the negative reciprocal when an equation is perpendicular. The negative reciprocal of -2 is 1/2. So, y=1/2x+b. To find the value of b, you plug in the given point, -1=1/2(2)+b, -1=1+b, b=-2. So the equation is y=1/2x-2.

:)

9514 1404 393

Answer:

Step-by-step explanation:

The given line equations are written in "slope-intercept" form.

  y = mx + b . . . . . . . . . m is the slope; b is the y-intercept

If we solve this equation for b, we find ...

  b = y - mx

This is useful for completing the equation of the line through a given point when the slope is known.

A parallel line will have the same slope as the given line. The given line has a slope (x-coefficient) of 3. We can find the "b" of the line through the desired point as ...

  b = y -3x

  b = 2 -(3)(3) = -7

The equation of the parallel line is ...

  y = 3x -7

__

A perpendicular line will have a slope that is the opposite reciprocal of the slope of the line it is perpendicular to. Here, the given line has a slope of -2, so the perpendicular line will have a slope of ...

  -1/(-2) = 1/2

Then the y-intercept is ...

  b = y -(1/2)x

  b = -1 -(1/2)(2) = -2

And the equation of the perpendicular line is ...

  y = 1/2x -2

__

The attached graph shows the original lines as dashed lines, and the corresponding desired lines as solid lines in the same color.

Answer:

1607

Step-by-step explanation:

Answer:

The equation would be:

2(b + 9) = 3

The sum of the days is 510

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

Days in January

There are 31 days in January

When these days are approximated, we have

1 - 4 = 0

5 - 14 = 10

15 - 24 = 20

25 - 31 = 30

The sum is then represented as

Sum = 0 * 4 + 10 * 10 + 10 * 20 + 7 * 30

Evaluate

Sum = 510

Hence, tehe sum is 510

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Answer:

∠ BDA = 55° , ∠ BCA = 70°

Step-by-step explanation:

∠ BOA = 360° - 250° = 110° ( angles round a point )

The central angle is twice the angle on the circle, subtended on the same arc

∠ BDA = \(\frac{1}{2}\) ∠ BOA = \(\frac{1}{2}\) × 110° = 55°

OBCA is a tangent kite

Opposite angles sum to 180° , then

∠ BCA = 180° - ∠ BOA = 180° - 110° = 70°

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

a) The customs duty on the car would be $1,350,000.

b) The imported price of the bus would be $858,000.

(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:

Customs duty = $3,000,000 * 0.45 = $1,350,000.

(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:

Customs duty = $1,560,000 * 0.45.

Solving for the customs duty:

Customs duty = $702,000.

Now, we can subtract the customs duty from the total amount to find the imported price:

Imported price = $1,560,000 - $702,000 = $858,000.

In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.

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Answer:

\(4x \times {10}^{3} \)

Step-by-step explanation:

\( \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } \)

\(0.4 \times {10}^{9 - 5} \)

\(0.4 \times {10}^{4} \)

\( = 4 \times {10}^{3} \)

Answer: 7 and 17

Step-by-step explanation:

Since the area of a rectangle is the product of the two sides, the product of these two numbers must be 119.

The factors pairs of 119 are 1 and 119, and 7 and 17.

x+7 and x-3 have a difference of 10. The difference of 7 and 17 is also 10. Hope this helped!

In the future, please take a less blurry photo because I had to guess the part where I think it said x-3.

The graph of the function is added as an attachment

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

f(x) = 4x

The above expression is a linear equation that implies that:

Slope = 4

y-intercept = 0

Next, we plot the graph using a graphing tool

One of the points on the line is (1, 4)

See attachment for the graph of the equation

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Equation: \(y=4x-14\).

\(y-y_{1} =m(x-x_{1} )\)

\(y-(-2) =4(x-(3) )\)

\(y+2 =4(x-3 )\\ \\y+2=4x-12\\ \\y=4x-12-2\\ \\y=4x-14\)

Equation: \(y=4x-14\).

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\(3.9ft^{2}\)

Given:

The square base pyramid with height 3 cm and base edge 2 cm.

To find:

The volume of the square pyramid.

Solution:

Volume of a square base pyramid is:

\(V=\dfrac{1}{3}Bh\)            ...(i)

Where, B is the base area and h is the height of the pyramid.

Base is a square with edge 2 cm, so the base area is:

\(B=a\times a\)

Where, a is the edge of the square base.

\(B=2\times 2\)

\(B=4\)

Putting \(B=4,h=3\) in (i), we get

\(V=\dfrac{1}{3}(4)(3)\)

\(V=4\)

Therefore, the volume of the given pyramid is 4 cm³.

\(~~~\ln \left( \sqrt{\dfrac{x-1}x \right )\\\\\\=\ln\left(\dfrac{\sqrt{x-1}}{\sqrt x} \right)\\\\\\=\ln\left(\sqrt{x-1} \right) - \ln \left( \sqrt x \right)~~~~~~~~~~~~~~~~~~~~;\left[\log_b\left( \dfrac mn \right) = \log_b m - \log_b n \right]\\\\\\=\ln\left[\left(x -1\right)^{\tfrac 12} \right] - \ln\left(x^{\tfrac 12} \right) \right)\\\\\\=\dfrac 12 \ln(x-1) - \dfrac 12 \ln x~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\)

Answer: 1/2 ln (x-1) - 1/2 ln x

Step-by-step explanation:

Answer:

20 sec

Step-by-step explanation:

2.4 in = 144 sec

124

144 - 124 = 20

6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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Answer:

correct ans is option/graph Dbecoz 36/3 = 12

Answer:

dude get rid of those like 100 numbers  but any way

it would be a graph that crosses the y value of 12 at the same time it crosses the x value of 1

a no its below 12 at 1

b looks a little high

c defently to high

d just right

answer is d

Hope This Helps!!!

The location rotates 24.9 miles in 1 day

It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a  unit.

In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unitary method.

Earth equator moves 2.075 miles in 2 hours, We need to find how far does this location rotate in 1 day

Using Unitary Method

2 hours = 2.075 miles

1 hour = 2.075/2 mile

1 hour = 1.0375 mile

1 day = 24 hours

24 hours = 1.0375 *24

= 24.9 miles

The location rotates 24.9 miles in 1 day

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Let's assume David's average speed is S km/h.

A) To find David's average speed, we can use the formula: Speed = Distance / Time.

David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:

S = Distance / 5

B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.

Ken took 7 hours to complete the race, so we have:

S - 9.8 = Distance / 7

Now, we can solve the system of equations to find the values of S and Distance.

From equation (1): S = Distance / 5

Substitute this into equation (2):

Distance / 5 - 9.8 = Distance / 7

Multiply both sides of the equation by 35 to eliminate the denominators:

7 * Distance - 35 * 9.8 = 5 * Distance

7 * Distance - 343 = 5 * Distance

Subtract 5 * Distance from both sides:

2 * Distance - 343 = 0

Add 343 to both sides:

2 * Distance = 343

Divide both sides by 2:

Distance = 343 / 2 = 171.5 km

Therefore, the distance of the cycling race is 171.5 kilometers.

To find David's average speed, substitute the distance into equation (1):

S = Distance / 5 = 171.5 / 5 = 34.3 km/h

So, David's average speed was 34.3 km/h.\(\)

Answer:

A) 34.3 km/h

B) 171.5 km

Step-by-step explanation:

Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:

\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)

This distance for the cycling race can now be used to determine David's average speed:

\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)

Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.

Answer:

B, and D or 2, and 4

Step-by-step explanation:

b=2 d=4

The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²

An equation is an expression that shows the relationship between two or more numbers and variables.

The dimensions of his room are 7 feet by 12 feet by 8 feet. Hence:

The surface area of the wall = area of the four walls and ceiling = (7 * 8) + (12 * 7) + (7 * 8) + (12 * 7) + (8 * 12) = 376 ft²

The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²

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A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation. An equation that can be used to represent the image is 6t=9.

A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation of ratios, addition, subtraction, and, most typically, multiplication.

In the given tap diagram, the upper tape contains 6 tapes of length t, while the lower tape contains only one tap of length g.

Now, since the length of the two tapes, the upper one and the lower one are equal. Therefore, the equation to represent the image can be written as,

t + t + t + t + t + t = 9

6t = 9

If the equation is simplified further, it can be written as,

t = 9/6

t = 3

Hence, an equation that can be used to represent the image is 6t=9.

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Answer:

177

Hope this helps

Answer:

9000

Step-by-step explanation:

Answer:

99% chance tommy has it

Step-by-step explanation:

cuz do da math

Answer:

x-1

Step-by-step explanation:

-16+1  16-15=1

To get -15 move 1 in the positive direction or backwards

or if this helps ignor the - and just subtract 16 from 15

Answer:

x = 1

Step-by-step explanation:

I hope this helps!