Which expression is equivalent to the given expression? (+2+6)-(- 2+3) x +9 O A I O B. - } +3 O C. x+3 OD. - *+9

Answer:

9.30

Step-by-step explanation:

Using SOHCAHTOA

tan=opposite/adjacent

tan25°=x/20

tan 25°=0.4663

0.4663=x/20

cross multiply

x=0.4663*20

x=9.326

to the nearest tenth=9.30

the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

What is Probability?

Probability refers to the measure of the likelihood or chance of an event occurring. It quantifies the uncertainty associated with an event or outcome and is expressed as a value between 0 and 1. A probability of 0 indicates an impossible event, while a probability of 1 represents a certain event.

To find the number of people a police officer should expect to pull over until she finds a driver not texting while driving, we can use the concept of probabilities.

The probability of a driver not texting while driving is given by (100% - 52%) = 48%.

Now, let's calculate the probability of encountering a driver who is texting while driving for different numbers of drivers pulled over:

For the first driver pulled over, the probability of encountering a driver who is texting while driving is 52% or 0.52.

For the second driver pulled over, the probability of both the first and second drivers texting while driving is 0.52 * 0.52 = 0.2704, and the probability of the second driver not texting while driving is (1 - 0.52) = 0.48.

For the third driver pulled over, the probability of all three drivers texting while driving is 0.52 * 0.52 * 0.52 = 0.140608, and the probability of the third driver not texting while driving is (1 - 0.52) = 0.48.

Continuing this pattern, we can calculate the probabilities for the fourth and fifth drivers.

Therefore, the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

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Complete Qustion:

It is estimated that 52% of drivers text while driving. How many people should a police officer expect to pull over until she finds a driver not texting while driving? Consider each driver independently.

Answer:

first one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a. The venn diagram is provided in the picture attached

b. 25 students participated in the survey

c. 7 students are taking a science class only

d. 10 students are taking at least two of the three classes.

Venn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.

b. The number of students who participated in the survey:

2 + 1 + 3 + 4 + 1 + 3 + 7 + 4 = 25 students

c. The number of students who are taking a science class only:

14 - (2 + 1 + 4) = 7

d. The number of students who are taking at least two of the three classes:

2 + 1 + 3 + 4 = 10

Therefore, using the information from the venn diagram, 25 students participated in the survey, 7 students are taking a science class only, and 10 students are taking at least two of the three classes.

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Answer:

10 ≥ 2(2.99) + 0.67b

10 ≥ 5.98 + 0.67b

4.02 ≥ 0.67b

6 ≥ b

David can buy 6 pounds of bananas at most.

Hope I helped <3

The result of the given expression is 2.5.

We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.

E = (45 / 6) % 5

We need to simplify the expression and find its value. First of all, we will solve the brackets.

E = (7.5) % 5

Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.

E = 2.5

Hence, the value of the expression is 2.5.

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Answer:

the expected value of this raffle if you buy 1​ ticket = -0.65

Step-by-step explanation:

Given that :

Five thousand tickets are sold at​ $1 each for a charity raffle

Tickets are to be drawn at random and monetary prizes awarded as​ follows: 1 prize of ​$500​, 3 prizes of ​$300​, 5 prizes of ​$50​, and 20 prizes of​ $5.

Thus; the amount and the corresponding probability can be computed as:

Amount                            Probability

$500 -$1 = $499                1/5000

$300 -$1 = $299                3/5000

$50 - $1 = $49                     5/5000

$5 - $1 = $4                      20/5000

-$1                                   1- 29/5000 = 4971/5000

The expected value of the raffle if 1 ticket is being bought is  as follows:

\(E(x) = \sum x * P(x)\)

\(E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000} + (-1 * \dfrac{4971}{5000} ))\)

\(E(x) = (0.0998 + 0.1794+0.049 + 0.016 + (-0.9942 ))\)

\(E(x) = (0.3442 -0.9942 )\)

\(\mathbf{E(x) = -0.65}\)

Thus; the expected value of this raffle if you buy 1​ ticket = -0.65

Answer:

Bạn ghi rõ hơn được không?

Nếu là (x^4)/4 - (x^2)/2 + 1 thì không có nhé

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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The distance from library and the park is 12 miles.

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Jaime ride her bike in north = 5 miles

Jaime ride her bike in east = 13 miles

The distance from library and the park be x.

The below diagram shows about the Jaime's riding.

The distance from library and the park can be find by using Pythagoras theorem,

\(Hypotenuse^{2} = Perpendicular^{2} + base^{2}\)

On substituting the above values,

⇒ \(13^{2} = 5^{2}+x^{2}\)

⇒ \(x^{2} =169-25\)

⇒ \(x^{2} = 144\)

⇒ \(x=\sqrt{144}\)

⇒ \(x=12\)

Hence we can conclude that the distance from library and the park is    12 miles.

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In order to determine whether the Weibull distribution or another distribution might be a better fit for the lifespan of these battery packs, it would be important to analyze the data and compare the goodness-of-fit statistics for different distributions.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The normal distribution is a very common and useful distribution for modeling many real-world phenomena, including the lifespan of battery packs. However, there are certain situations where other distributions may be more appropriate.

One example of a distribution that could potentially be a better fit for the lifespan of these battery packs is the Weibull distribution. The Weibull distribution is often used to model the failure rates of components, including batteries. It has a flexible shape that can be adjusted to fit different types of failure patterns, and it can handle both increasing and decreasing failure rates.

In order to determine whether the Weibull distribution or another distribution might be a better fit for the lifespan of these battery packs, it would be important to analyze the data and compare the goodness-of-fit statistics for different distributions. This could involve using statistical software to fit various distributions to the data and comparing the resulting fit statistics, such as the Akaike information criterion (AIC) or the Bayesian information criterion (BIC), to determine which distribution provides the best fit.

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Answer:

400

Step-by-step explanation:

=

1

We know that:

3 R=4% 1 = 48

T =3 R = 4% into formula 48 2 Substitute

1=Prt

48= Prt

Solve the equation:

3 × 0.04x= 48

3

X = 400

so Pablo invested 400$

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

it could be either A or D

SLAP ME IF I AM WRONG!

Step-by-step explanation:

Answer:

X and Y have a weak, negative correlation.

Answer:

The answer is x and y have a weak negative correlation

Step-by-step explanation:

The points do not form a very straight line, so that is considered weak.

The points are arranged from higher on the left to lower on the right, indicating a negative slope.

I hope this helps! :)

Explication étape par étape:

Soit la gratitude totale x

Montant reçu par le premier employé = 150 euros

Si le second reçoit 7/20 de la gratification, alors;

Deuxième reçoit = ​​7/20 × x

Si le troisième reçoit 5/28 de la gratification, alors

Le troisième reçoit 5/28 × x -

Si le quatrième reçoit le 9/35 de la gratification, alors;

Le quatrième reçoit 9/35 × x

Il faut ensuite calculer le pourboire total x.

Résumer tout le montant reçu

7x / 20 + 5x / 28 + 9x / 35 +150 = x

0,35x + 0,179x + 0,257x + 150 = x

0,786x + 150

x-0,786x = 150

0,214x = 150

x = 150 / 0,214

x = 700,9 euros

2) Pour obtenir le partage collecté par le premier, nous utiliserons l'expression

X × 700,9 = 150

x = 150 / 700,9

x ≈ 15/70

x≈ 3/14

D'où le premier a recueilli environ 3/14 de la gratification totale.

2) seconde collectée 0,35x

= 0,35 × 700

≈245 euros

Le troisième a recueilli 5/28 de x

Le troisième a collecté 5/28 × 700

= 3500/28

= 125 euros

Le quatrième a recueilli 9/35 de x

= 9/35 × 700

= 6300/35

≈ 180 euros

Answer:(13/6-31/12)-x=13/4

-5/12 - x = 13/4

x = -5/12 - 13/4

x = -11/3

Step-by-step explanation:

The statement "you should perform x trials until you observe a success" is not a common characteristic of a binomial distribution.

In a binomial distribution, there are exactly two possible outcomes (success and failure), the probability of success is the same in all trials, there are a fixed number of observations, each trial is independent.

However, the number of trials required to observe a success is not a fixed characteristic of a binomial distribution. The number of trials may vary depending on the probability of success and the particular sequence of trials that occur. In a binomial distribution, we are interested in the probability of obtaining a specific number of successes in a fixed number of trials, rather than the number of trials needed to observe a success.

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Answer: (32b-4c) centimeters

Step-by-step explanation:

given width (9b-8cm) length: (7b+6c) cm
the perimeter = 2 (9b-8c + 7b + 6c) = 2 (16b-2c)
= (32b - 4C) centimeters

The expression 32b - 4c represents the perimeter of the rectangle.

The perimeter of a rectangle is the sum of all its sides. To find the perimeter of the given rectangle, we need to add the lengths of all four sides. The formula for the perimeter of a rectangle is 2(length + width).

Given that the width of the rectangle is (9b-8c) centimeters and the length is (7b+6c) centimeters, we substitute these values into the formula:

Therefore, the expression 32b - 4c represents the perimeter of the rectangle.

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Answer:

$520

Step-by-step explanation:

Ben earns $13 per hour of regular work

He gets for 40 hours of regular work:

Answer is $520

Therefore, the ladder touches the house at a height of 28 feet above the ground.

A triangle is a geometric shape that consists of three straight sides and three angles. It is a polygon with three sides. The sides of a triangle are connected by its vertices or corners. The triangle is one of the simplest and most fundamental shapes in geometry, and it has many important properties and applications. Triangles have many practical applications in everyday life and in various fields, such as architecture, engineering, and physics. The study of triangles and their properties is an important part of mathematics and geometry.

Here,

We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs (the two shorter sides) is equal to the square of the length of the hypotenuse (the longest side, which is opposite the right angle). In this problem, the ladder, the side of the house, and the ground form a right triangle. The ladder is the hypotenuse, the distance from the house to the ladder is one leg, and the height we want to find is the other leg.

Let x be the height above the ground where the ladder touches the house. Then, using the Pythagorean theorem, we have:

x² + 21² = 35²

Simplifying and solving for x, we get:

x² + 441 = 1225

x² = 784

x = 28

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Using Pythagoras theorem, the value of x in the right angle triangle is 4.1cm

Pythagoras' theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Mathematically, it can be expressed as x² + y² = z², where a and b are the lengths of the two sides and c is the length of the hypotenuse.

When we divide the chord by two, we will find the value of the adjacent side of the right angle triangle formed.

This will give us;

15.6 / 2= 7.8cm

We can find the value of x using Pythagoras theorem.

8.8² = x² + 7.8²

x² = 8.8² - 7.8²

x = 4.07

x = 4.1cm

The value of x is 4.1cm

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The probability that the family will have three children of the same gender is 1/4 or 25%.

To calculate the probability of having three children of the same gender, we can consider the possible outcomes for each child's gender.

Since the probability of having a boy or a girl is equal (assuming a 50% chance for each), we have two possible outcomes for each child: boy (B) or girl (G).

The total number of possible outcomes for the three children is 2 * 2 * 2 = 8, as each child has two possible genders.

Now, let's calculate the number of favorable outcomes where all three children have the same gender.

If they have all boys (BBB), there is only one favorable outcome.

If they have all girls (GGG), there is also only one favorable outcome.

Therefore, the total number of favorable outcomes is 1 + 1 = 2.

The probability of having three children of the same gender is then 2 favorable outcomes out of 8 possible outcomes, which can be expressed as 2/8 or simplified to 1/4.

So, the probability that the family will have three children of the same gender is 1/4 or 25%.

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Answer:

  (c)  20

Step-by-step explanation:

You want to find x, given that the external angle adjacent to a base angle of an isosceles triangle is (5x +12)°, and the other base angle is marked (3x +8)°.

The base angles of an isosceles triangle are congruent, so the other base angle is congruent to the marked base angle.

The external angle and the adjacent base angle are a linear pair, hence supplementary.

  (5x +12)° +(3x +8)° = 180°

  8x +20 = 180 . . . . . . . divide by °, collect terms

  8x = 160 . . . . . . subtract 20

  x = 20 . . . . . divide by 8

The speed of the boat in still water is 5 km/h.

Let's denote the speed of the boat in still water as "v" (in km/h). Since the boat travels 2 km upstream and 2 km downstream, we know that the total distance traveled is 4 km.

Let's first calculate the time taken to travel 2 km upstream. We know that the current is flowing at 2 km/h, so the effective speed of the boat relative to the river is (v - 2) km/h (since it is going against the current). Therefore, the time taken to travel 2 km upstream is

time taken = distance / speed = 2 / (v - 2) hours

Similarly, the time taken to travel 2 km downstream is

time taken = distance / speed = 2 / (v + 2) hours

The total time taken for the round trip (2 km upstream and 2 km downstream) is given as 11 minutes, which is equivalent to (11/60) hours. Therefore, we can write

2 / (v - 2) + 2 / (v + 2) = 11/60

Multiplying both sides by (v - 2)(v + 2) gives

2(v + 2) + 2(v - 2) = (v - 2)(v + 2)(11/60)

Simplifying the right-hand side gives

(v - 2)(v + 2)(11/60) = (11/3)v^2 - 44/3

Substituting this expression into the previous equation and simplifying gives

22v = (11/3)v^2 - 44/3

Multiplying both sides by 3 gives

66v = 11v^2 - 44

Rearranging and solving for v using the quadratic formula gives

v = (11 ± √(11^2 + 4×44))/22

Taking the positive solution (since v must be positive) gives

v = 5 km/h

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Answer:

21

Plz mark me brainliest

Step-by-step explanation:

Answer:21 students were on each bus.

Step-by-step explanation:

215-5=210

210/10=21 the number of students divided by the number of buses

Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

The probability that a standard normal random variable is greater than 1.28 is:P(Z > 1.28) = 1 - Φ(1.28) = 1 - 0.8997 = 0.1003Answer:a. P(0 < Z < 1.43) = 0.4236b. P(-1.43 < Z < 0) = 0.4236c. P(Z < 1.43) = 0.9236d. P(Z > 1.28) = 0.1003

The Standard Normal Distribution The standard normal distribution is a normal distribution of variables whose z-scores have been used to standardize them. As a result, it has a mean of 0 and a standard deviation of 1. The quantity of standard deviations an irregular variable has from the mean is determined utilizing the z-score, which is otherwise called the standard score. The z-score is used to calculate the probability. In the standard normal spread, the probability of a sporadic variable being among an and b is: P(a < Z < b) = Φ(b) - Φ(a)Where Φ(a) is the standard commonplace dissemination's joined probability movement, which is the probability that a regular unpredictable variable will be not precisely or comparable to a.

We get the value from standard commonplace tables, which give probabilities for a standard conventional scattering with a mean of 0 and a standard deviation of 1. Therefore, we can look into "(a)" if we need to determine the likelihood of an irregular variable whose standard deviation falls below a. In order to respond to this question, we want to use the standard ordinary dispersion. As a result, we should take advantage of the following probabilities: a. P(0 < Z < 1.43)We're looking for the probability that a standard normal unpredictable variable is more critical than 0 yet under 1.43. We gaze upward (1.43) = 0.9236 and (0) = 0.5 from the standard typical appropriation tables. P(0  Z 1.43) = (1.43) - (0) = 0.9236 - 0.5 = 0.4236.b. P(-1.43  Z 0):

We are looking for the probability that a standard normal random variable is greater than or equal to -1.43. From the standard normal distribution tables, we look up (-1.43) = 0.0764 and (-0.5). P(-1.43  Z 0) = (0) - (-1.43) = 0.5 - 0.0764 = 0.4236.c. P(Z  1.43) is the probability that a typical standard irregular variable is less than 1.43. P(Z 1.43) = (1.43) = 0.9236d can be found in the standard normal distribution tables. P(Z > 1.28): The likelihood that a typical irregular variable is more prominent than 1.28 is what we are looking for. The standard normal distribution tables yield (1.28) = 0.8997. We are aware that the likelihood of a standard ordinary irregular variable being more significant than 1.28 is equivalent to the likelihood of a standard ordinary arbitrary variable not exactly being - 1.28 because the standard typical dispersion is even about the mean. In the standard normal distribution tables, we find (-1.28) = 0.1003.

Therefore, the following are the odds that a standard normal random variable will be greater than 1.28: The response is: P(Z > 1.28) = 1 - (1.28) = 1 - 0.8997 = 0.1003. a. P(0 < Z < 1.43) = 0.4236b. P(-1.43 < Z < 0) = 0.4236c. P(Z < 1.43) = 0.9236d. P(Z > 1.28) = 0.1003

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