The sum of the length and width of a rectangle is more than 15 units. The length is 3 units more than the width, x. Which model and solution is correct for this situation?

Answer:

I believe the answer is (B).

Both are not independent, and the probability of A is 30/100.

While the probability for A|B is like 30/100(80/100) which does not equal 30/100.

I've been trying to figure out how to do it and stuff, and this seems the most reasonable answer. I'm taking it now. Goodluck

ED2021

The two events are not independent as the traffic is affected by the weather conditions.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Let event A = heavy traffic and event B = bad weather.

P(A)=  25/30 and P(B)=25/30

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

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Answer:

35

Step-by-step explanation:

35 is exactly 152 but since its asking for greater then you're right it is 36.

But since it says '>' it means not equal to so it would be:

x > 35

or

x ≥ 36

Answer:

Read answer below :)

Step-by-step explanation:

So you know that the height is 12 cm, and the base is 27 cm at full. When they show you half, that's 13.5. So, having three sides in the entire base-length of 27 cms, you'll divide 27 by 3, in which case you get 9. Each the the base lengths are 9.

So the formula for volume is length * width * height. Knowing the width (13.5), the length (9), and height (12), multiply them. Your final answer is 1458 for all of it. For one side, divide by 6.

Hope this helps

Answer:

It says that most of the data is greater than the mean

Step-by-step explanation:

Answer:

A large mad means many of the points deviate far from the average

Step-by-step explanation:

Answer:

a)

Verify is the corresponding sides have same ratio:

Since the ratios are same, the triangles are similar

b)

If one dimension is same, the base areas will make difference by the square of the scale factor:

Answer: it looks like about 180 degrees

Step-by-step explanation:

sorry if wrong can you help me if right please

Answer:

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 1 : x2 - 7x - 14 = 0. Step 2 : Parabola, Finding the Vertex: 2.1 Find the Vertex of y = x2-7x-14

Answer:

C

Step-by-step explanation:

16's square root is 4

152Answer:

Step-by-step explanation:

Answer:

x = 100°

Step-by-step explanation:

15° + 65° + x = 180°

80° + x = 180°

x = 100°

Answer:

11.1 %

Step-by-step explanation:

2/18 = 11.1%

The percentage of the number decreased is 11.1%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Initial number = 18

Final number = 16

The change in the value of the number.

= 18  - 16

= 2

The percentage decreased.

= (Change in the number / Initial number) x 100

= 2/18 x 100

= 200/18

= 11.11%

= 11.1 %

Thus,

The percentage decreased is 11.1%.

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Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

Answer:

5/8

Explanation: 8/8 - 3/8 = 5/8

Answer:

0.625

Step-by-step explanation:

1-3/8 total probability is 1 thus you take the probability that it will rain from 1 and get the answer

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

Answer:

A link for a calculator that I use for ratios

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/ratios.php

Answer:

20971520

Step-by-step explanation:

Thank me later

Answer: A.4

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

1×10=10

1+10=11

Answer:

NO

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

Consider the first four terms of the sequence are,

⇒ -3, -12, -48, -192, . . .

Here, Common ratio is,

⇒ - 12 / - 3

⇒ 4

Thus, The sequence are in Geometric sequence.

Hence, The value of 8th term of this sequence is,

⇒ a (8) = - 3 × (4)⁸⁻¹

⇒ a (8) = - 3 × 4⁷

⇒ a (8) = - 3 × 16,384

⇒ a (8) = - 49,152

Thus, The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

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9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

Answer:

x=42

Step-by-step explanation:

2(x-8)=68

Distribute the 2

2x-16=68

Use the addition property of equality (add 16 to both sides)

2x=68+16

2x=84

Use the division property of equality (divide both sides by 2)

x=84/2

x=42

Answer:

B

Step-by-step explanation:

The graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option first is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the graph, there are two graphs of a function shown.

First one is a graph of a mod function and second one is a graph of a quadratic equation.

|x + 2| – 5= -(x - 1)(x - 3)

f(x) = |x + 2| - 5

g(x) = -(x - 1)(x - 3)

Thus, the graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option first is correct.

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Answer:

A cylinder and 2 half spheres

Step-by-step explanation:

Using my eyes, I see 1 cylinder and 2 half spheres at the ends of the cylinder.

The shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

A hemisphere is gotten when a sphere is cut into two equal halves. It is half of a shere.

From the Image, one can see that a cylinder and two hemispheres combined to form the composite figure.

Hence, the shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

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Answer:

50%

Step-by-step explanation:

Its a deck and its suffled

Answer:

[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7s and 4 queens so

[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]

Answer:

32 and 58.

Step-by-step explanation:

complementary angles add up to 90.

26+x=y

x+y=90

plug y=26+x into the above equation

x+26+x=90

2x=64

x=32

The angles are 32 and 58.

Answer: for number 4 the error is that they did -3 plus 5 which they got a +2 from. For question number 5 the correct answer is 18 and number 6 the answer is also 18.

Step-by-step explanation:

Answer:

1. they were suppose to multiply the 2 and the 5 first

2.B

3. 18

4.B

5.B

Answer:

D.18 millas

Step-by-step explanation:

dividimos  el 24 en cuatro partes que terminaria en 6 restamos 6-24 = 18 millas que seria el 75%