The teacher gave a true and false quiz were true equals 0.8 for each question interpret the likelihood, that the first question will be true.

Answer:

x = 37

CD = 20

AD = 35

Angle D = 111

Step-by-step explanation:

x = 37 because the angles in the opposite corners are the same

CD = 20 because BA = CD

AD = 35 because BC = AD

Angle D = 111 because angles in a quadrilateral add to 360. 360 - 37 - 37 -32 - 32 = 222. 222 / 2 = 111

The probability that the sum of the bills drawn by Krishna is at least 30$ is 10 / 12 = 5 / 6.

To calculate the probability that the sum of the bills drawn by Krishna is at least 30$, we need to know the total number of possible outcomes when drawing two bills at random without replacement and the number of outcomes that result in a sum of at least 30$.

There are 4 types of bills: ones, fives, tens and twenties. If we draw two bills at random without replacement, there are a total of 4*3 = 12 possible outcomes.

To find the number of outcomes that result in a sum of at least 30$, we need to find the number of outcomes where at least one bill is a twenty and the other bill is a ten or five.

There is 1 outcome where both bills are twenties.

There are 3 outcomes where one bill is a twenty and the other bill is a ten.

There are 6 outcomes where one bill is a twenty and the other bill is a five.

So, the total number of outcomes that result in a sum of at least 30$ is 1+ 1 + 3 + 6 = 10.

Therefore, the probability that the sum of the bills drawn by Krishna is at least 30$ is 10 / 12 = 5 / 6.

It's worth mentioning that if you want to know the probability that the sum of the bills drawn is exactly $30, you would have to find the outcomes that result in a sum of exactly 30$, which in this case is only one outcome.

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The constant of given expression that is  2x+4 is  4 .

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets with out specifying their real values. The fundamentals of algebra taught us the way to express an unknown cost the usage of letters which include x, y, z, and many others. these letters are referred to as here as variables. An algebraic expression may be a mixture of each variables and constants. Any cost that is positioned before and accelerated by a variable is a coefficient.

Given expression ,

2x+4

It is in the form of ax+b

where b is constant.

So, the constant of given expression that is  2x+4 is  4 .

Hence, the constant of given expression that is  2x+4 is  4 .

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Each person uses about 142 litres of water each day. The average household uses 349 litres of water each day1.

The overall amount of water used in the UK is thought to be roughly 14 billion litres each day. 3.17 billion litres of water per day are wasted owing to leaks out of this total. Water consumption needs to be at least 2-2.5 litres per person every day.

However, just a small portion of the water consumed in the UK is for drinking. The average UK resident uses 142 litres of water per day at home, while a household of four uses about 349 litres daily.

In some areas of the UK, this number climbed by 25% during the COVID-19 lockdown, reaching almost 175 litres of water per person per day. 142 litres is 9.5 times more than the amount of water a person in urban Ethiopia uses each day.

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The term that she can use to classify each triangle is: option B. Equilateral; since a rhombus always has 4 equal sides, each triangle must have 3 equal sides.

A rhombus is a type of quadrilateral which has four equal length of sides. It has two diagonals where each divides the rhombus into two equal parts of equilateral triangles.

A diagonal is a straight from one edge of a shape to another which divides it into two equal parts. The two parts are in the form of triangles which have similar properties on comparison.

Therefore, the term that can be used to classify each triangle is: option B. Equilateral; since a rhombus always has 4 equal sides, each triangle must have 3 equal sides.

Since an equilateral triangle has equal length of three sides. Therefore the measure of its internal angles are also equal.

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Answer:

-1/2  5/4

-3/4 11/4

Step-by-step explanation:

Answer: the green box is 1.25

the left gray box is -0.75

the right gray box is 2.75

Step-by-step explanation:

Algebraic expressions can be simplified by combining like terms, performing operations in the proper order, and using the rules of exponents.

Algebraic expressions can be simplified by combining like terms, which means to add or subtract any terms with the same variable and coefficient. This is possible because the same variable and coefficient can be combined to form a single term. For example, 3x+2x can be simplified to 5x. In addition to combining like terms, operations should be performed in the proper order, meaning parentheses should be taken care of first, followed by exponents, then multiplication and division, and finally addition and subtraction. Finally, the rules of exponents should be used. This includes not only the basic order of operations with exponents, but also the rules for multiplying and dividing exponents, and for raising a power to a power. By using these techniques, algebraic expressions can be simplified significantly.

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Median = 22, Lower Quartile = 9, Upper Quartile = 28,

Interquartile Range = 19, Lower Whisker = 6 , Upper Whisker = 30

Step 1: First, arrange the data in numerical order:

6, 7, 9, 9, 20, 22, 26, 28, 29, 30

Step 2: Calculate the median (middle value):

Median = 22

Step 3: Calculate the lower quartile (Q1):

Q1 = 9

Step 4: Calculate the upper quartile (Q3):

Q3 = 28

Step 5: Calculate the lower whisker (lowest value):

Lower whisker = 6

Step 6: Calculate the upper whisker (highest value):

Upper whisker = 30

Step 7: Plot the data points:

6, 7, 9, 9, 20, 22, 26, 28, 29, 30

Step 8: Draw the boxplot:

The boxplot should have a box with the lower whisker at 6, the lower quartile (Q1) at 9, the median at 22, the upper quartile (Q3) at 28, and the upper whisker at 30.

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Solutions for the equation x1 +x2 +x3 +x4= 17 are 1140.

Steps:

x1+x2+x3+x4=17

A trick for solving these type of questions:

Let's consider 17 is equivalent to 17 boxes(containing 1) and 3 boxes (containing plus sign).So, total number of boxes is 17+3=20

Number of non-negative integer solution=20!/3!17!=1140

General formula for solving these type of questions is n+r-1_C_r-1

Here in this question, n=17 [sum of all variables

(given)], r = 4 (number of variables X1,x2,x3 and x4)

Number of non-negative integer solutions=17+4-

1_C_4-1-20_C_3-20!/3!17!=1140

There are many ways to tell how many solutions will an equation have , Number of solutions depend on what the equation given is , and what type of solution you are asking

Types of Solution:

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Uhhh... where is the question                          

The inequality is true.

Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.

Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.

The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.

A number line that is going from the negative 3 to positive 3 and is in increasing order.

The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.

Hence the option 1, 2, and 3 are true.

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Wednesday is taller than Monday or Tuesday according to graph. Thursday and Friday were more than double Wednesday.

What is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph. To make a graph, one must create a diagram that depicts the relationship between two or more objects. Either by hand or by computer, the plot can be depicted. Plotter devices that were mechanical or electrical have been employed in the past.

Graph A: Monday + Tuesday looks like they could add to Wednesday. Further Thursday and Friday are both more than Wednesday. Graph A is you answer.

Graph B:  Thursday does not look like double Wednesday. B is not the answer.

Graph C:: Monday and Tuesday exceeded Wednesday. Graph C is not right.

Graph D: Just wrong. Thursday and Friday and not double Wednesday.

Humans can quickly understand relationships between variables that may not have been apparent from lists of values by using graphs, which are a visual representation of the relationship between variables.

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Answer:

30%

Step-by-step explanation:

if 27 of the bottles are plastic then 63 are glass

the question becomes, "27 is what percent of 90"

let 'p' = percent that are plastic

we can use 'if/of equals percent/100'

27/90 = p/100

the above is a proportion and we can solve by

cross-multiplying to get

90p = 2700

p = 2700/90 or 270/9

which is 30%

Answer:

45

Step-by-step explanation:

45

The common region between both inequalities shows the possible solution sets.

Given is the system of inequality as -

y ≤ (- 1/3)x + 3

y ≥ 3x + 2

Refer to the graph of the inequalities attached. The common region to both the inequalities represent the possible solution sets.

Therefore, the common region between both inequalities shows the possible solution sets.

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By contrast, transcendental numbers like π and e are not algebraic expression.

What is algebraic expression ?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Not algebraic expression ,

An equation that is not an algebraic expression would be something like "x + 2 = 5" because it contains an equal sign and represents a statement of equality rather than a mathematical combination of variables and numbers.

since they are not derived from integer constants and algebraic operations.

By contrast, transcendental numbers like π and e are not algebraic expression.

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The solution of the mixed fraction will be 4 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression of the mixed fraction is 2¹/₂÷1⁷/₈. The expression will be solved as,

E = 2¹/₂÷1⁷/₈

E = ( 5 / 2 )  ÷ ( 15 / 8 )

E = ( 5 / 2 ) x ( 8 / 15 )

E = 4 / 3

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The inverse of the log is exponential.

An exponential function is a mathematical function with the formula f (x) = ax, where x is a variable and an is a constant that serves as the function's basis and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

STEP 1: Replace the function notation f(x) by y

f(x) -> y

STEP 2: Switch the roles of x and y.

x -> y

y -> x

STEP 3: Isolate the log expression on one side (left or right) of the equation.

STEP 4: Convert or transform the log equation into its equivalent exponential equation.

Notice that the subscript b in the log form becomes the base with an exponent N in exponential form.

The variable M stays in the same place.

STEP 5: Solve the exponential equation for y to get the inverse. Then replace y by [tex]f^{-1}(x)[/tex] is the inverse notation to write the final answer.

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the product of 9a 4ab and 2a is 18a^2b^2. This product can be broken down and explained further as 18 multiplied by a squared (a^2), multiplied by b squared (b^2). Therefore, the product of 9a 4ab and 2a is 18a^2b^2.

the product of 9a 4ab and 2a is 18a^2b^2. This product can be broken down and explained further as 18 multiplied by a squared (a^2), multiplied by b squared (b^2). Therefore, the product of 9a 4ab and 2a is 18a^2b^2.

18a^2b^2

Given: 9a 4ab and 2a

Step 1: Multiply 9a and 2a

Answer: 18a^2

Step 2: Multiply 4ab and 2a

Answer: 8ab^2

Step 3: Add 18a^2 and 8ab^2

Answer: 18a^2b^2

The given problem consists of two expressions, 9a and 4ab multiplied by 2a. To solve this problem, you must first multiply 9a and 2a, which gives 18a^2. Then, you must multiply 4ab and 2a, which gives 8ab^2. Lastly, you must add these two together, resulting in 18a^2b^2. In other words, the product of 9a 4ab and 2a is 18a^2b^2. This product can be broken down and explained further as 18 multiplied by a squared (a^2), multiplied by b squared (b^2). Therefore, the product of 9a 4ab and 2a is 18a^2b^2.

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Note that for 3 batches 6 ounces of butter and 9 ounces of flour are needed for 5 batches 10 ounces of butter and 15 ounces of flour are required. This is a ratio and proportion exercise.

A ratio is an ordered pair of integers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

Where the ratio of ounces of butter to ounces of flour for one batch of cookies is 2 to 3. The butter and flour quantities will be determined as follows:

3 batches = 2 Butter : 3 Flour = 6 Butter : 9 Flour

5 batches = 2 Butter : 3 Flour = 10 Butter : 15 Flour

Thus, for 3 batches 6 ounces of butter and 9 ounces of flour are required for 5 batches 10 ounces of butter and 15 ounces of flour are required.

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Answer:

For 3 Batches, 6 butter & 9 flour

For 5 Batches, 10 butter & 15 flour

Step-by-step explanation:

1 Batch = 2:3

So, whatever we times up by in batches we can do the same to the ingredients.

1 batch = 2:3

multiply 3

3 batches = 6:9

and so on…

The radius of the circular track is 252.23 feet

An equation shows the relationship between numbers and variables in an expression.

The circumference of a circular object is length of the complete arc of the object. It is given as:

Circumference = 2π * radius

A race car drove around a circular track that was 0.3 mile. If 1 mile = 5,280 feet:

0.3 mile = 0.3 miles * 5280 feet per mile = 1584 mile

Let r be the radius of the track, hence:

1584 = 2πr

r = 1584/2π

r = 252.23 feet

The radius is 252.23 feet

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Answer: 252.23 feet

The first person to answer was correct!

Step-by-step explanation:

I took the quiz so you don't have to! <3

The probability distribution for the random variable f, the number landing face up when the die is tossed, is a discrete uniform distribution. The mean and standard deviation of this distribution are given as 3.5 and 1.7078, respectively.

When the die is tossed 5 times and the mean of the 5 values landing face up is recorded, this is referred to as a sample mean. The sample mean of 5 tosses of a die is also a random variable and its distribution is called the sampling distribution of the sample mean.

The simulation with 400 trials that you described is designed to estimate the sampling distribution of the sample mean. This can be done by repeating the process of tossing the die 5 times, finding the mean of the 5 values, and recording the result, 400 times. By collecting the sample mean values over 400 trials, it will give an idea of the distribution of the sample mean.

It's worth noting that as the sample size increases, the sampling distribution of the sample mean becomes closer to a normal distribution, known as the central limit theorem. And the mean of the sampling distribution becomes equal to the mean of the original distribution and the standard deviation of the sampling distribution becomes smaller.

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The area of the quadrilateral EFCD is 102 sq. units.

A quadrilateral with at least one pair of parallel sides is called a trapezoid.

Given that, In trapezoid ABCD, the parallel sides AB and CD have lengths 8 and 20 units. The height of the trapezoid is 12 units. Points E and F are midpoints of sides AD and BC, respectively.

We know that, A trapezoid midsegment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.

Length of EF = AB + DC / 2 = 28/2 = 14 units.

Since, EF is the midsegment therefore, height of the quadrilateral EFCD = 12/2 = 6 units.

Area of the quadrilateral EFCD = (14 + 20 / 2) x 6 = 102 sq. units.

Hence, the area of the quadrilateral EFCD is 102 sq. units.

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The domain of the function exists [tex]$(-\infty, \infty)$[/tex] range be [tex]$[0, \infty]$[/tex].

The components of a function are its Domain and Range. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.

All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's entire range, from the bottom to the top, is the range.

By listing all of the values in the column that corresponds to the input values on a mapping diagram, the domain of the function may be identified.

In general, the domain of any polynomial is [tex]$(-\infty, \infty)$[/tex].

The range of a positive polynomial [tex]$y=x^a$[/tex] where a is even is [tex]$[0, \infty]$[/tex].

Therefore, the domain exists [tex]$(-\infty, \infty)$[/tex]

Range exists [tex]$[0, \infty]$[/tex].

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Answer:

$25

Step-by-step explanation:

Let the cost of a canoe be [tex]c[/tex] and the cost of a tube be [tex]t[/tex].

[tex]2c+3t=80 \\ \\ c+7t=95 \implies 2c+14t=190 \\ \\ \therefore (2c+14t)-(2c+3t)=190-80 \implies t=10 \\ \\ \therefore 2c+3(10)=80 \implies c=25[/tex]

The length of AD is 3.6.

In geometry, an angle bisector is a line that divides an angle into two equal angles. The term "bisector" refers to a device that divides an object or a shape into two equal halves. An angle bisector is a ray that divides an angle into two identical segments of the same length.

The angle bisector in this case is BD, thus we have

ABD = CDB

now that we have compared the ratios,

[tex]\frac{AD}{4.5} =\frac{4}{5}[/tex]

To find the value of AD, we can now multiply 4.5 on the right-hand side.

AD is 3.6

This length of  AD is  = 3.6.

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The number which should be placed in the spot presently filled with the x is sixty.

Planned order release is the process by which orders are planned but not shipped. It's always changing according to your needs. This is called future forecast receipt based on planned orders. A planned sales order is the process of receiving goods at a specific point in time. We have,

Gross requitrement for week 3 = 65

Schedule recepit for third week= 0

Safty stock value , SS = 10

Quantity = 30

lead time = 2

Project on hand inventory for second week = 25

Project inventory for third week = 20

we have to determine the value of x.

Planed order release for week 1 = project on hand inventory for week 3 + ( Gross requitrement for week 3 - Project on hand inventory for second week) or B18 - SS

=> x = 20 + ( 65 - 25) = 60

Hence, the value of x is 60 .

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Answer:

Step-by-step explanation:

you divide 318 by 6 so she drove 53 miles per hour

Answer:

53 miles per hour.

Step-by-step explanation:

That is the answer because to find the answer you need to divide. And when you divide 318 and 6, you get 53.

The daily mileage for which the Ultimo charge is twice the Primo charge is 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Primo charges = $21 per day plus 0.30 per mile.

Ultimo charges = $22 per day plus $0.65 per mile.

let x equal the number of miles.

Ultimo Charge = twice Primo Charge

22 + 0.65x = 2(21 + 0.3x)

22 + 0.65x = 42 + 0.60x

42- 22 = 0.65x - 0.60x

20 = 0.5x

x= 20/0.5

x= 40

Hence, the daily mileage is 40.

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Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

A