The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What is the probability that the parking lot is full given that today is a holiday?

66%
15%
5.51%

1a

2d

3a

4c

are all functions

Answer:

B

Step-by-step explanation:

Look at the graph, which y values can the graph hit?

Anything above zero would be the right answer, since there is an asymptote at \(y=0\).

So the range would be \(y>0\)

Hope this helps.

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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The length of FD with given coordinates F (1, 7) and D (-2,-4) will be 11.402 thus option (C) is correct.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)

As per the given points,

F (1, 7) and D (-2,-4)

The distance between above both points will be as,

\(d = \sqrt {\left( {1 + 2 } \right)^2 + \left( {7 + 4 } \right)^2 }\)

d = √(9 + 121)

d = √130 = 11.102

Hence "With the provided coordinates F (1, 7) and D (-2, -4), the length of FD will be 11.402".

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Answer:

there is no expression

Step-by-step explanation:

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

Answer:

y=8.25x-15

Step-by-step explanation:

From the information provided, the algebraic expression will need to indicate that your earnings during the first week, y, would be equal to multiplying $8.25 for the number of hours, x, minus $15. According to that, the algebraic expression is:

y=8.25x-15

Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.

The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.

As this course is shaped like a parallelogram, the total length would therefore be:

= Base + Base + Length + Length

Solving gives:
= 3 + 3 + 2 + 2

= 6 miles

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Answer:

(0, -7) i think

hope this helps :3

sorry if im wrong

This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

After answering the provided question, we can conclude that The slope answer is not listed as a choice, but this is the correct equation.

In mathematics, slope is the slope of the regression of a line or curve. It is a measure of the degree to which a function's y-value varies once the x-value changes. A line's slope is usually expressed as a letter m and is able to be calculated as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) is some two important points on the line. The slope of a line can be favorable, negative, equal to 0, or unknown. A positive slope means the line rises up from left to right, whereas a slope means the line falls back from left to right.

To find the equation of the line passing through the point (4,-5) with slope 2, we can use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-5) = 2(x - 4)

y + 5 = 2x - 8

y = 2x - 13

y = 2x - 13

The answer is not listed as a choice, but this is the correct equation.

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To solve this problem, we need to convert all the measurements to a consistent unit. Let's convert the height to inches since the height of the bounce is given in inches.

64 ft = 64 * 12 inches = 768 inches

Now, we can set up an equation to represent the height of each bounce. Let's use "b" to represent the number of bounces, and "h" to represent the height of each bounce in inches.

The height of each bounce is three-fourths (3/4) the height of the previous bounce. So, we can write the equation as:

h = (3/4) * h_previous

where h_previous is the height of the previous bounce.

We know that the initial height of the ball is 768 inches, and we want to find the number of bounces when the height of the bounce is less than 9 inches. We can set up an inequality to represent this situation:

h < 9

Substituting the expression for h from the equation above, we get:

(3/4) * h_previous < 9

Now, we can start with the initial height of 768 inches and keep applying the equation for each bounce until the height of the bounce is less than 9 inches.

1st bounce:

h = (3/4) * 768 = 576 inches

2nd bounce:

h = (3/4) * 576 = 432 inches

3rd bounce:

h = (3/4) * 432 = 324 inches

4th bounce:

h = (3/4) * 324 = 243 inches

5th bounce:

h = (3/4) * 243 = 182.25 inches

6th bounce:

h = (3/4) * 182.25 = 136.6875 inches

7th bounce:

h = (3/4) * 136.6875 = 102.515625 inches

8th bounce:

h = (3/4) * 102.515625 = 76.88671875 inches

9th bounce:

h = (3/4) * 76.88671875 = 57.6650390625 inches

10th bounce:

h = (3/4) * 57.6650390625 = 43.248779296875 inches

So, the ball will bounce up to a height less than 9 inches after 10 bounces.

Answer: 36

Step-by-step explanation:

A Maclaurin polynomial can only be created for functions that are infinitely differentiable, and the given function is not infinitely differentiable.

Maclaurin polynomial is an important type of Taylor series, developed by the Scottish mathematician Colin Maclaurin in the 18th century. It is a special case of the Taylor series, which is used to approximate a function near a given point. Maclaurin polynomials are polynomials that are used to approximate a function near the origin. They are derived from the Taylor series expansion of a function around the zeroth order derivative. The general form of a Maclaurin polynomial is given by ⌊f(x)=∑n=0∞a_nx^n⌋, where a_n is the nth derivative at x=0. Maclaurin polynomials are used to approximate a variety of functions, from simple polynomials to more complicated ones such as trigonometric, exponential, and logarithmic functions. They can also be used to approximate certain integrals and derivatives. Maclaurin polynomials are widely used in mathematics, physics, engineering, and other sciences.

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Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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Answer:

177.464x−1

Step-by-step explanation:

How many times larger is (1.064x⋅101)+(7x⋅10−1)

Remove parentheses.

1.064x⋅101+7x⋅10−1

Simplify each term.

Multiply 101 by 1.064.

107.464x+7x⋅10−1

Multiply 10 by 7.

107.464x+70x−1

Add 107.464x and 70x.

177.464x−1

Answer:

75%

Step-by-step explanation:

100/64*48=75%

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Line l and m are parallel to each other because angle 1 is equal 3 and equal to angle 2

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

The angles on parallel line can be

1. corresponding

2. alternate

3. verically opposite.

In each case mentioned the angles are equal to each other.

angle 3 = angle 1 ( vertically opposite angle)

angle 1 = angle 2( alternate angle)

angle 3 = angle 2( corresponding angles)

Since angle 1 = angle 2 = angle 3 , we can say line l and m are parallel to each other

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Answer:

\(XY=2YZ\\XY=2\times4\\XY=8\)

The value of XY is given by the trigonometric relation and the measure of side of the triangle is XY = 8

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as XYZ

Let the measure of the side XY of the triangle be A

The measure of side YZ = 4

Now , from the trigonometric relations , we get

sin θ = opposite / hypotenuse

when θ = 30°

Substitute the value of θ in the equation , we get

sin θ = YZ / XY

On simplifying the equation , we get

sin 30° = 4 / XY

Multiply by XY on both sides of the equation , we get

XY ( sin 30° ) = 4

The value of sin 30° = 1/2

So , XY / 2 = 4

Multiply by 2 on both sides of the equation , we get

XY = 8

Hence , the measure of side XY of triangle is XY =8

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Answer:

A. x²- 4x+ 1

option A is the answer

The counting principle says that we multiply the number of ways for each of these events together to get the total number of ways to get a license plate. Hence, there are \(158184000\) ways to create a license plate.

What is the counting principle?

The fundamental counting principle states that if there are \(p\) ways to do one thing and \(q\) ways to do another thing, then there are \(p\)×\(q\) ways to do both things.

So,

The number of ways to count the first number are \(9\) ways.

The number of ways to count the first letter are \(26\) ways

The number of ways to count the next letter are \(26\) ways

The number of ways to count the third letter are \(26\) ways

The number of ways to count the next number are \(10\) ways

The number of ways to count the next number are \(10\) ways

The number of ways to count the next number are \(10\) ways

So, the total number of ways to get a license plate is:-

\((9).(26).(26).(26).(10).(10).(10)=158184000\).

Hence, there are \(158184000\) ways to create a license plate.

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The best way to perform a randomized experiment is to C. Randomly select 40 regions from all regions throughout the country, and have the restaurants in those regions stop selling the current hamburger.

It should be noted that a randomized experiment simply means a study sample that is divided into a group that will receive the intervention that's being studied.

In this case, the best way is to randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase.

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Answer:

48% written as a decimal is 0.48.

Step-by-step explanation:

Conversion of a percentage to decimal:

To realize the conversion of a percentage to decial, we must divide the percentage by 100.

For example, 20% as a decimal is 20/100 = 0.1.

So

What is 48% written as a decimal?

Dividing by 100

48/100 = 0.48

48% written as a decimal is 0.48.