In the diagram, BCD is a straight line. Angle ACB is a right angle. BC=6cm, tan x= 1.3 and cos y = 0.4 Work out the length of AD.
​

Answer:

Probability is 0.552, or about 55%

Step-by-step explanation:

first there are 20 marbles in total: odds are 15/20 = 3/4

Then, there are 19 marbles in total : odds are 14/19

So the odds of both of them being blue are: 3/4 * 14/19 = 0.552 (rounded to the thousandths place)

Please give brainliest thanks!

Answer:

d

Step-by-step explanation:

Answer:

5000

Step-by-step explanation:

\( \frac{52}{100} = \frac{2600}{x} \\ x = 5000\)

The domain and inverse of the function

\(r(x) = \frac{11}{(x - 4)^2}\) is

Domain = \(\mathbb{R} - \{4\}\),

\(r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4\)

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

\(r(x) = \frac{11}{(x - 4)^2}\)

r(x) is not defined if x - 4 = 0

r(x) is not defined for x = 4

Domain = \(\mathbb{R} - \{4\}\),

Where \(\mathbb{R}\) is the set of all real number

Let r(x) = y

\(\frac{11}{(x-4)^2} = y\\(x - 4)^2 = \frac{11}{y}\\x - 4 = \pm \sqrt{\frac{11}{y}}\\x = \pm\sqrt{\frac{11}{y}} +4\)

\(r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4\)

To learn more about function, refer to the link:

https://brainly.com/question/22340031

#SPJ4

The equivalent price of the item in U.S. dollars is $3.47, rounded to the nearest hundredth.

1. Start with the given information:

Grady made a purchase for 24 South African rands.

The exchange rate on that day is USD to ZAR = 6.92.

2. To convert the price in South African rands to U.S. dollars, we divide the amount in rands by the exchange rate:

Equivalent price in U.S. dollars = (Amount in South African rands) / (Exchange rate)

3. Substitute the given values into the formula:

Equivalent price in U.S. dollars = 24 ZAR / 6.92

4. Perform the division:

Equivalent price in U.S. dollars ≈ 3.47

5. Rounding to the nearest hundredth, the equivalent price of the item in U.S. dollars is approximately $3.47.

Therefore, the item's equivalent price in U.S. dollars is $3.47.

Know more about the U.S. dollars click here:

https://brainly.com/question/31949130

#SPJ11

The five number summary of the home prices is as follows: minimum = $210,000, first quartile = $235,500, median = $252,000, third quartile = $267,000, and maximum = $300,000.

The five number summary provides a concise overview of the distribution of home prices.

The minimum value represents the lowest price observed in the dataset, while the maximum value corresponds to the highest price.

The first quartile, also known as the lower quartile, divides the dataset into the bottom 25% of prices.

The median, or second quartile, is the midpoint of the dataset, separating it into two equal halves.

The third quartile, or upper quartile, splits the dataset into the top 25% of prices. These measures allow us to understand the spread and central tendency of the data.

Learn more about five number summary

brainly.com/question/30451903

#SPJ11

For a given function f, it is linear if the function has a constant slope and it doesnot contain the power of x greater than 1.

An association between each element of a non-empty set A and at least one element of a different non-empty set B is called a function. The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

A function which is also linear, represents a straight line in the graph. The graphs to the linear functions are straight lines which have constant slope throughout the graph.

A function f is referred to as linear if it meets both of the following criteria:

The slope of the function is constant. This indicates that the slope of the line is constant, independent of the value of x that you enter into the function.

There are no powers of x bigger than 1 in the function. This indicates that there are no terms in the function that have x2, x3, etc.

To learn more about functions visit:

https://brainly.com/question/25638609

#SPJ4

In the given case, Matthew would have a negative z score and John would have a positive z score.

A z-score is a measurement of how far an observation or data point is from the distribution's mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative. Therefore, it is possible that John's z-score would be positive, showing that he is taller than the average for his age group if he is one of the tallest children in his class at the age of 7.

In contrast, if 12-year-old Matthew is among the smallest students in his class, it is likely that his z-score will be negative, suggesting that he is shorter than the norm for his age group. Therefore, John would have a positive z-score but Matthew would have a negative one if he is shorter than average for his age group.

Read more about z scores on:

https://brainly.com/question/25638875

#SPJ4

Answer:

Step-by-step explanation:

the graph is at the highest power at the top left corner because the graph shape has a even or odd chance so that is the answer

It's highest power is odd

What is graph of polynomial ?

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

According to the question,

Graph of polynomial is shown in given graph,

(1) at point A graph passes linearly

(2) At point b, graph passes x-axis cubically

(3) At point c, Graph passes x-axis linearly

Hence, polynomial having degree 5

Hence, it's highest power is odd

To learn more about  graph of polynomial from here

https://brainly.in/question/17060226

#SPJ2

Answer: 42

Step-by-step explanation:

6 12 18 24 30 36 42

7 14 21 28 35 42

Answer:

The 42nd Voter

is the correct awnser!

is there a picture to help me underdtsnd what we are trying to do with the questionAnswer:

Step-by-step explanation:

Answer:

16.22%

Explanation:

The percent of increase can be calculated as:

Where vf is the final value and vi is the initial value. So, replacing vf by 10.75 and vi by 9.25, we get:

Therefore, the percent of the increase is 16.22%

Answer:

-5,-4,-3,-2,-1,0,1

Step-by-step explanation:

MARK ME BRAINIEST PLEASE

Answer:

x = 7

Step-by-step explanation:

5(x + 5) = 10 x 6

5x + 25 = 60

5x = 35

x = 7

Answer:

5

Step-by-step explanation:

EF = 47 - 7x = 1/2 BC = 1/2 * (14+4x)

solve for x

x=6

so EF = 47-7*6 =  5

Answer:

Real Number  

Step-by-step explanation:

These are numbers which include both rational AND irrational!!!

Doesn't go on forever.

Brainliest??

If a hypothesis test leads to the rejection of the null hypothesis, a Type I error has been committed.

Type I error:

Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.

The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p value).

The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.

A Type I error has been made if a hypothesis test results in the rejection of the null hypothesis.

To learn more about hypothesis test click here:

brainly.com/question/17099835

#SPJ4

Answer:

inverse is opposite so i assume its y and x

Step-by-step explanation:

The size of the matrix A is 7 x 5, in order to define a mapping from R⁵ into R⁷ by the rule T(x) = Ax.

In order to define a mapping from R⁵ into R⁷ by the rule T(x) = Ax,

a matrix A must have 7 rows and 5 columns, or,

in other words, be a 7 × 5 matrix.

It is known that if T(x) = Ax, then x is a vector in the domain of T, A is a matrix, and Ax is a vector in the range of T.

Moreover, the number of columns of A must equal the dimension of the domain of T and the number of rows of A must equal the dimension of the range of T.

Since we are given that the domain of T is R⁵ and the range of T is R⁷, we can conclude that A must have 5 columns and 7 rows.

The size of the matrix A is 7 x 5, in order to define a mapping from R⁵ into R⁷ by the rule T(x) = Ax.

To know more about matrix visit:

https://brainly.com/question/29132693

#SPJ11

Answer:

D.

Step-by-step explanation:

The sides correspond with a favor of 1.5

12/8 = 1.5

7.5/5 = 1.5

3/2=1.5

The Kanizsa triangle illusion helps us understand that our perceptual experiences are not simply the sum of the individual sensory inputs, but rather the result of a complex and variable process of perceptual organization.

Gestalt is a German word meaning "shape" or "form," and in psychology, it refers to a set of principles that describe how people perceive and organize sensory information into meaningful wholes. These principles propose that the whole is greater than the sum of its parts, and that we tend to organize our perceptual experiences into coherent, holistic forms rather than isolated, unrelated sensations.

Experimental examples such as the Necker cube, visual cliff, and others help demonstrate principles of perceptual organization by highlighting how our minds naturally try to impose structure and order on sensory input. For example, the Necker cube is a two-dimensional drawing that can be perceived as a cube that can be viewed from different angles. However, as one stares at the image, it appears to flip back and forth between different possible interpretations. This phenomenon illustrates the Gestalt principle of figure-ground, which describes how we tend to perceive objects as being distinct from their surrounding context.

To know more about variable,

https://brainly.com/question/2466865

#SPJ11

Answer:

SAS

Step-by-step explanation:

I hope this helps you out!

The money that Janet spent on food for the party was $18.26

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

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Janet went to the grocery store Thursday night and spent $20.27. She paid $2.01 on two acorn squash. Hence:

Money spent on food for the party = 20.27 - 2.01 = $18.26

The money that Janet spent on food for the party was $18.26

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

To know  more about minimum visit:

brainly.com/question/21426575

#SPJ11

The given integral is ₁∫₀^(π/2) sin²(x)dx.

The trapezoidal rule is given by:(b - a) [(f(a) + f(b))/2]And, the Gauss-Quadrature formula for n = 2 is: ∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]

Here, a = 0, b = π/2, gp₁ = -0.5773, gp₂ = 0.5773, w₁ = w₂ = 1.

(i) Trapezoidal Rule: The trapezoidal rule with one interval is given by:(b - a) [(f(a) + f(b))/2] = π/4 [sin²(0) + sin²(π/2)] = 0.7854

(ii) Gauss-Quadrature: Using the Gauss-Quadrature formula with n = 2, we get:∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]= π/2 [ sin²( [ (π/2)/2 ] (-0.5773) + π/4 ) + sin²( [ (π/2)/2 ] (0.5773) + π/4 ) ]= 0.7853Comparing the above two methods, the trapezoidal rule and Gauss-Quadrature method are nearly the same and are close to the exact value.

Exact value = (π/2)/2 - sin(π)/4 = 0.7854Conclusion:Thus, it can be concluded that the given integral using the trapezoidal rule (using only one interval) and Gauss- Quadrature (n=2) is approximately equal to 0.7854.

To know more about integral visit

https://brainly.com/question/31433890

#SPJ11

x^3-x^2-x+1=0

The answer to this problem is x=1, and x=-1.

sorry i took so long to answer hope this helps you fam:)

x^3 +x^2 +x +1 = 0

=> x^2( x + 1) + 1(x + 1) = 0

=> (x^2 + 1)(x + 1) = 0

x + 1 = 0

=> x = -1

x^2 + 1 = 0

=> x^2 = -1

answer is...

x=1,x=-1

The expression x^2 + 8x + 3 to complete the square is 16.

The value we need to add in the blank space in the expression x^2 + 8x + 3 to complete the square is 16.

Here's how we can get that value:

Step 1: Divide the coefficient of the x term by 2 and square the result. That is, (8/2)^2 = 16.

Step 2: Add the value obtained in Step 1 to the expression in the blank space. Thus, x^2 + 8x + 3 + 16 = x^2 + 8x + 19.

Now, we have the perfect square trinomial x^2 + 8x + 16, which is the square of (x + 4).

Therefore, we can write x^2 + 8x + 19 as (x + 4)^2 - 3.

Thus, the value we can add in the blank space in the expression x^2 + 8x + 3 to complete the square is 16.

Learn more about square here https://brainly.com/question/28776767

#SPJ11

Answer:I think its 5.25 if im wrong sorry

The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:

Calculate the seasonal factor for each day by multiplying the seasonal index by the level.

Monday: 1.10 × 20 = 22

Tuesday: 0.95 × 20 = 19

Wednesday: 0.90 × 20 = 18

Thursday: 0.80 × 20 = 16

Friday: 1.25 × 20 = 25

Update the level and trend using the following formulas:

New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)

New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend

For Tuesday:

New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636

New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364

Forecast the number of customers served on each subsequent day using the formula:

Forecast = (New Level + Forecasted Trend) × Seasonal Factor

Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909

Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273

Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455

Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091

Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.

Read more on Seasonal index here: https://brainly.com/question/31959139

#SPJ11