En la ruta que un automovilista recorre para trasladarse a su trabajo existen dos intersecciones con señalamientos de tránsito. La probabilidad de que el automovilista tenga que detenerse en la primera señal es 0.35, la probabilidad análoga para la segunda señal es 0.55, y la probabilidad de que tenga que detenerse en al menos una de las dos señales es 0.75.
(a) ¿Cuál es la probabilidad de que tenga que detenerse en ambas señales?

Answer:

a) 1

b) 0

c) hundreths

d) .8

Step-by-step explanation:

The order, for this problem, is:

hundreds, tens, ones,

then after the decimal

tenths, hundredths, thousandths, ten thousandths, etc.

as for step d, imagine .08 as 8/100, and 8/10. Would you rather have 8 slices of pizza out of 100 slices, or 8 out of 10 slices of the whole?

I hope I helped!

Answer:

42.64 mph

Step-by-step explanation:

5 1/3 / 7 1/2 = m/60

see attached for explanation

The surface area of a tridimensional figure is given by the addition of the area in each of the faces; in a right rectangular prism we have 6 faces, which are paired to have the same area and form the prism, first, we have 2 sides, then we have front and back, and last we have top and bottom.

Since we know the area for the side, top and bottom we could add it up and then multiply it by 2 for the three missing faces.

The rate of stream or speed of water flow is 2.682 meter/second

The equation that creates a relationship among height or distance, speed or rate and time is termed as distance, speed and time equation.

As per the equation distance or height = speed × time

we know speed means rate of changes of distance or height with respect to time.

distance passed by hat = 1 mile =1609.344 meters

time required to pass this distance = 10 minutes = 600 second

Now rate of stream means the speed of water flow = rate of change of distance = distance/time

rate of stream = 1609.344/600 = 2.682 m/s

hence, speed of flow is 2.682 m/s

To know more about speed, distance and time visit:

https://brainly.com/question/12626613

#SPJ4

The false statement among the given options is (4) "Sin can equal cos 0 only in Quadrant I of the unit circle."

In the unit circle, sin θ represents the y-coordinate and cos θ represents the x-coordinate of a point on the circle corresponding to the angle θ. In Quadrant I of the unit circle, both sin θ and cos θ are positive, and they are not equal to each other unless θ is a multiple of π/4.

However, in Quadrant II and Quadrant IV of the unit circle, sin θ can be equal to cos θ. In Quadrant II, sin θ is positive and cos θ is negative, while in Quadrant IV, sin θ is negative and cos θ is positive. For example, at θ = 3π/4, sin θ and cos θ are equal to -√2/2.

Therefore, statement (4) is false because sin can equal cos in Quadrant II and Quadrant IV of the unit circle, not just in Quadrant I.

Learn more about Quadrant here

https://brainly.com/question/28587485

#SPJ11

Answer:

11

Step-by-step explanation:

I divided 7.20 and 6 and got 1.2 so i did 13.20 divided by 1.2 and got 11

Answer: You can buy 11 candy bars.

Step-by-step explanation:

$7.20 =6

$7.20/6 =$1.20

$13.20/$1.20=11

Answer:

the answer is a

Step-by-step explanation:

Answer:

B. 24 horses and 50 humans

Step-by-step explanation:

74 x 2 = 148

196 - 148 = 48

48/2 = 24 (number of horses)

74 heads - 24 horses = 50 humans

Answer:

no

Step-by-step explanation:

its 7

In response to the supplied query, we may state that Therefore, the Pythagorean theorem length of the hypotenuse is 30 units.

The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the general algebraic notation a2 + b2 = c2.  

The Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs (the sides that create the right angle) is equal to the square of the length of the hypotenuse, may be used to determine the length of the hypotenuse (the side opposite the right angle).

In this instance, we have two legs, one measuring 18 units and the other 24 units. Let's call the hypotenuse's length "c" for short. The Pythagorean theorem may then be used to determine the value of "c":

\(c^2 = 18^2 + 24^2\\c^2 = 324 + 576\\c^2 = 900\\c = \sqrt(900)\\c = 30\)

Therefore, the length of the hypotenuse is 30 units.

To know more about Pythagorean theorem visit:

https://brainly.com/question/14930619

#SPJ1

The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

Answer:

The answer is DF

Step-by-step explanation:

The opposite side is 4 or EF, so the ADJACENT side would be 3 or DF according to SOH CAH TOA.

Answer:

I think it's b

Step-by-step explanation:

Answer:

root under 44 divide by 12

Step-by-step explanation:

we know that

cos= b/h

here,

b= TU

h= SU

p= ST

now,

cos= b/h

so,

cos= √(44) / 12

= 2 √(11) /12

= √(11) /6

hope it may help you

Answer:

4,0

Step-by-step explanation:

Try 4,0.

Hope this helps!  :)

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

To know more about notation visit:

https://brainly.com/question/29132451

#SPJ11

In the given diagram of circle O, we need to find various measurements. Let's consider the following measurements:

Diameter (d): The diameter of a circle is the distance across it, passing through the center. To find the diameter, we can measure the distance between any two points on the circle that pass through the center. Let's say we measure it as 12 units.

Radius (r): The radius of a circle is the distance from the center to any point on the circumference. It is half the length of the diameter. In this case, the radius would be 6 units (12 divided by 2).

Circumference (C): The circumference of a circle is the distance around it. It can be found using the formula C = 2πr, where π is approximately 3.14 and r is the radius. Using the radius of 6 units, we can calculate the circumference as C = 2 * 3.14 * 6 = 37.68 units. Rounding to the nearest whole number, the circumference is approximately 38 units.

Area (A): The area of a circle is the measure of the surface enclosed by it. It can be calculated using the formula A = πr^2. Substituting the radius of 6 units, we can find the area as A = 3.14 * 6^2 = 113.04 square units. Rounding to the nearest whole number, the area is approximately 113 square units.

In summary, for circle O, the diameter is 12 units, the radius is 6 units, the circumference is approximately 38 units, and the area is approximately 113 square units.

For more such questions on various measurements

https://brainly.com/question/27233632

#SPJ8

To solve the equation for a variable we need to isolate the variable on the left side of the equation. The expression is:

To start we need to subtract by "7x" on both sides of the equation.

We then need to divide both sides by 4.

Answer:

the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)

Answer:

(0, 4) is not a solution to y < 3x - 10.

Step-by-step explanation:

To find out why (0, 4) is not a solution to the inequality statement, y < 3x - 10:

Plug in the values of (0, 4) into the inequality statement to see if it provides a true statement.

y < 3x - 10

4 < 3(0) - 10

4 < 0 - 10

4 < - 10 is not a true statement. Therefore, the point (0, 4) is not a solution to y < 3x - 10.

By the way, I'm including a screen capture from Desmos, showing that (0, 4) is not included as part of the solution.  

The intermediate step in the form (x + a)²  = b is (x + 2)² = 49

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equals sign (=).

To complete the square for the equation 3x² + 26x = 14x + 135, we first move all the constant terms to one side:

3x² + 26x - 14x = 135

Simplifying the left side, we get:

3x² + 12x = 135

Next, we factor out the coefficient of x^2 from the terms involving x:

3(x² + 4x) = 135

To complete the square, we need to add and subtract a constant term inside the parentheses that will make the expression a perfect square trinomial. To determine this constant term, we take half of the coefficient of x (which is 4 in this case) and square it:

(4/2)² = 4

So we add and subtract 4 inside the parentheses:

3(x² + 4x + 4 - 4) = 135

Now, the terms inside the parentheses form a perfect square trinomial, which we can write as (x + 2)²:

3((x + 2)² - 4) = 135

Simplifying, we get:

3(x + 2)² - 12 = 135

Finally, we add 12 to both sides to isolate the perfect square term:

3(x + 2)² = 147

So the intermediate step in the form (x + a)^2 = b is:

(x + 2)² = 49

To know more about equations visit:

brainly.com/question/17499155

#SPJ1

The line of the  best fit for the data points plotted in the scatter plot is y = -0.88x + 8

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

The graph

Using the line of the best fit, we have"

(x, y) = (8, 1) and (0, 8)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 8

Using the points, we have

1 = 8m + 8

This gives

m = -0.88

So, we have

y = -0.88x + 8

Read more about regression at

https://brainly.com/question/25987747

#SPJ1

These work out to 60,466,176 case insensitive combinations of letters.

There are 10 digits 0–9.

The are 26 letters in the modern alphabets.

However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.

There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.

You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.

Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.

So, there are either 36 (10 digits and 26 letters).

To find the number of combinations you multiply the number of possibilities for each character;

36 x 36 x 36 x 36 x 36

These work out to 60,466,176 case insensitive combinations of letters.

To learn more about Combinations click here:

brainly.com/question/28042664

#SPJ4

Answer:

find the value of:Cos = 0.54

The tree grows a 2.2 feet per year and have an initial height 6.6. So the equation of the height will be 6.6+2.2t.

Let the increase in height be a linear equation,

Let H be the height of the tree, t represent number of years.

We do not know the coefficients.

So, let H = a + b t

When t=o, H = 6.6 , So a= 6.6

When t= 1 , H = 6.6 + 2.2t

So the equation for the height of the tree with respect to years will be

H = 6.6 + 2.2t

For more information regarding algebraic equations, kindly refer

https://brainly.com/question/29131718

#SPJ4

Answer:

It is C and D

Step-by-step explanation:

Check the picture below.

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

Learn more about Cumulative Frequency here:

https://brainly.com/question/28491523

#SPJ4

The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer:

Set your calculator to degree mode.

tan(67°) = h/50

h = 50tan(67°) = 118 meters