24.6 Km In 30 Minutes To Km/h And M/s (2024)

The sample size should be taken so that the margin of error does not exceed 5 is 829.

The term confidence interval is known as the probability that a population parameter will fall between two set values.

Here we have given that it is known that the population variance is 144.

And we need to find . at 95% confidence, what sample size should be taken so that the margin of error does not exceed 5

While we looking into the given question, we know that the variance is 144.

And the confidence interval is 95%.

Now, as per the formula of margin of error, the sample size is calculated as,

=> SE = σ / √n

Apply the given values on it, then we get,

=> 5 = 144/√n

=> √n = 144/5

=> n = (28.8)²

=> n = 829.44

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Answer:

The rate of change in Marketa's car loan balance should be negative, because she is paying off the loan over time. This means that the balance will decrease each month as she makes payments.

Step-by-step explanation:

For example, if Marketa has been paying off the loan for 3 months and the function is called with the argument 3 (for the number of months), the function should return the balance after 3 months of payments. This balance will be lower than the original balance of $15,000, since Marketa has been making payments of $200 per month. The rate of change in the balance is therefore negative.

Answer:

Yes this graph does represent a function.

Step-by-step explanation:

Hope this helps!

Answer:

B. $10. 50

Step-by-step explanation:

You want the evenly-split cost of 5 tickets at $8.50, 5 drinks at $3.50, and 3 discount coupons with a value of $2.50.

Each share

We can add up the costs and divide by 5 to find the value of each share:

share = (ticket cost + drink cost - coupon value) ÷ 5

share = (5×$8.50 +5×3.50 -3×2.50) ÷ 5

= $8.50 +3.50 -3×0.50 = $12.00 -1.50 = $10.50

Each person spent $10.50.

Square B is having greater area as the dimension of the area as well as side is greater as compared to square A.

Given:

The area of square A is equal to 100 square units.

The area of square B is equal to 121 square units.

The formula for the area of a square is (Side)^2.

The area of square A = (SideA)^2

100 = (SideA)^2

SideA = [tex]\sqrt{100}[/tex] = 10unit.

Similarly, the area of square B = 121 = (SideB)^2

Side B = [tex]\sqrt{121}[/tex] = 11unit.

So, as per the side and dimension of the square only and only square B is having a greater area than the area of square A.

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Answer is -9/8

Explanation

y intercept form is y= mx +b

m is slope
x is the variable
b is the y intercept where the line crosses the y axis

So “b” or the y intercept is -9/8

The measure of ∠QRS is 78°

what is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.

Solution

In the figure, RP and RT are opposite rays and RQ bisects ∠PRS.

So that ∠QRS = ∠PQR --- (i)

given here, ∠PQR = (20x+10)

and, ∠QRS = (25x-7)

From equation (i)

25x-7 = 20x+10

25x - 20x = 10 + 7

5x = 17

x = 17/5

x = 3.4

So that the value of ∠QRS = 25x - 7

∠QRS = 25*3.4 - 7

∠QRS = 85 - 7

∠QRS = 78°

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The pounds of sugar which Kendall used for a batch of cupcakes is 0.5 pounds and the pounds of sugar used for each cupcake is 0.0020833 pounds.

1/8 of 4 pounds of sugar are used to make a batch of cupcakes.

1/8 * 4 lbs.

= 0.5 lbs.

Sugar used per cupcake in pounds:

24 cupcakes per batch is the number.

Cupcakes' sugar content in pounds:

Cupcakes per batch / pounds of sugar per batch

1 pound and 24

= 0.0020833 kg.

The question given is incomplete , the complete question is as follows,

Kendall is making cupcakes for a party. She uses 1/8 of a 4-pound bag of sugar to make a batch of cupcakes. Each batch has 24 cupcakes.

Drag one expression next to each question. The correct expression for each row is a way to answer that question.

How many pounds of sugar does Kendall use for a batch of cupcakes?

How many pounds of sugar are used for each cupcake?

The British imperial and American customary systems of measurement both utilise the pound as a unit of mass. The international avoirdupois pound, which is officially defined as precisely 0.45359237 kilos, is the one that is most frequently used today.

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19 possible ways can choose three different numbers from the set (1,2,3,4,5,6) such that the three could be the sides of a triangle.

Using combination:

₆C₃ =[tex]\frac{6x5x4}{3!}[/tex]

Non-degenerate Triangle

It is a triangle that has a positive area. The condition for a non-degenerate triangle with sides a, b, c is − a + b > c a + c > b b + c > a. Let's take an example to understand the problem better - Input - a r r (2, 5 ,9, 4, 3) output yes.

For a given triangle to be a non-degenerate triangle, we only need to be confirmed with the condition that the sum of smaller two sides should be greater than the largest side.

A triangle is called the non-degenerate triangle if it has a non-negative or a positive area. If x, y and z are the sides of a Non-degenerate triangle

So if the sides are ( 1, 2 ,3 ), 1 + 2 >3 which is not true since 3 is not greater than (>) 3

Therefore

No. of ways = 20 - 1

= 19

19 possible ways can choose three different numbers from the set (1,2,3,4,5,6) such that the three could be the sides of a triangle.

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Answer: Home chefs with some knowledge

Step-by-step explanation:

The primary audience is a participant in a cooking class.

What is the primary audience?

Primary audiences are those who directly receive the communication. Meanwhile, secondary audiences include anyone who may receive a copy of the communication indirectly. These include anyone who will receive a copy, need to approve, will hear about, or be affected by the message.

The primary audience is the decision-maker and/or decision-making body and the secondary audience is the group(s) of people which we identify, educate and activate to influence the primary audience. With a primary audience, we are talking to people who can actually take action based on what they see or hear from us.

Hence, in this case, the primary audience is a participant in a cooking class, who receive the instructions directly and can actually take action based on the instructions given.

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The mean of binomial distribution is 5.

Binomial distribution is a probability distribution used in statistics that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions. Binomial distribution is a common discrete distribution used in statistics, as opposed to a continuous distribution, such as normal distribution. This is because binomial distribution only counts two states, typically represented as 1 (for a success) or 0 (for a failure) given a number of trials in the data. Binomial distribution thus represents the probability for x successes in n trials, given a success probability p for each trial.

Binomial distribution summarizes the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution determines the probability of observing a specified number of successful outcomes in a specified number of trials.

For a binomial distribution, the probability of success is 20% and sample size is 25. We have to find the mean for a binomial distribution.

n = 25

p = 20% = 0.2

Mean of binomial distribution, μ, is

μ = n × p = 25 × 0.2 = 5

Thus, the mean of binomial distribution is 5.

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To simplify the expression 5b²+(a²+5b)(ab-b²), we can use the distributive property to expand the second term:

5b²+(a²+5b)(ab-b²)

= 5b²+a²ab-a²b²+5bab-5bb²

Then, we can use the associative property of addition to rearrange the terms:

= 5b²+a²ab-a²b²+ab5b-b²5b

Finally, we can combine like terms:

= (5b²-b²5b)+(a²ab-a²b²)+ab5b

= -4b³+a²*ab+5ab

Therefore, the simplified expression is -4b³+a²*ab+5ab.

The distributive property states that the product of a number and a group of numbers is equal to the sum of the products of the number and each individual number in the group. For example, a*(b + c) = ab + ac.

The associative property of addition states that the grouping of numbers being added does not affect the result. For example, (a + b) + c = a + (b + c).

Answer:

the simplified expression is 10ab*b.

Step-by-step explanation:

To simplify the expression 5b²+(a²+5b)(ab-b²), we can first use the distributive property to expand the second term:

5b²+(a²+5b)(ab-b²)

= 5b²+a²ab-a²b²+5bab-5bb²

Then, we can combine like terms:

5b²+a²ab-a²b²+5bab-5bb²

= 5b²-a²b²+5bab+5bab-5bb²

= 5b²+10abb-5b²

= 5b²-5b²+10abb

= 0 + 10abb

= 10abb

We can make 37 , 3-letter strings from the letters a, b, c, and d.

How many 3-letter strings can we make?

1 . AAA - This word could be written in 1 way.

2. AAB, AAC, AAD

Each word could be written in 3 ways 3*3=9 ways

3.ABB, ACC, ADD

Each word could be written in 3 ways 3*3=9 ways

4. ABC, ABD, ACD

Each word could be written in 6 ways as they are unique and does not have repetitive letters.3*6 = 18 ways

Total = 1+9+9+18

= 37

So, we can make 37 3-letter strings from the letters a, b, c, and d by applying the method called permutation.

What is permutation?When the order of the arrangements matters, a mathematical technique called a permutation can be used to calculate the number of alternative arrangements in a collection. Only a few elements from a collection of options must be selected in a specific order in order to solve common mathematical problems. Combinations, a different mathematical concept, are frequently mistaken with permutations. The combination, however, does not depend on the order of the selected components. In other words, the arrangements ab and be in permutations are regarded as different arrangements, whereas they are equal in combinations.It is a term that refers to the various possible arrangements or orders of things. The arrangement's order matters in permutations.

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Answer:

x = -11 or x = -1

Step-by-step explanation:

By considering the given information about perimeter , the calculated area of the given isosceles triangle will be (2x + 32) * h / 2, where x is equal side length and h is height of triangle.

What is isosceles triangle?

If any two side of a triangle are equal than it is an isosceles triangle.

What is perimeter?

The sum of all the side of a triangle is called perimeter.

The perimeter of T is equal to the sum of the lengths of its three sides. We can express this relationship as follows:

2x + y = 32

Since the altitude to the base of T has an integer length, we can call the length h. The area of T is equal to the product of the base and the altitude divided by 2:

A = (y * h) / 2

We can express the area of T in terms of the variables x and y by substituting the expression for y in terms of x into the expression for the area:

A = (2x + y) * h / 2

= (2x + 32) * h / 2

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The expected value of a random variable is

the mean value over an infinite number of observations of the variable. So, correct answer is option (b).

What is excepted value ?

The expected value of a random variable is denoted by E[X]. The expected value can be thought of as the “average” value attained by the random variable or in fact, the expected value of a random variable is also called its mean, in which case we use the notation µX. Now, we check the options and drive write statement.

a)The highest probability value is not the “expected” value of a random variable.

b)The “expected value” of a random variable is also known as the “mean” value of the variable over an “infinite” number of observations.

c) The largest value that will ever occur is the largest observed value, not a random variable mean.

d) The “mode” of a random variable is the most common value over an “infinite” number of observations of the variable.

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Complete question:

The expected value of a random variable is the

a. value that has the highest probability of occurring.

b. mean value over an infinite number of observations of the variable.

c. largest value that will ever occur.

d. most common value over an infinite number of observations of the variable

By minimizing(derivation) the equation and solving the equation by equating to zero , the resultant positive numbers are 1 and 4.

Algebraic equation is nothing but a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables, namely addition, subtraction, multiplication, division, raising to a power, and root extraction.

Let the 1st number be 'x' and 2nd number be 'y'

From given data,

we can express the equation as

[tex]xy=4\\\\y=\frac{4}{x}.....i[/tex]

Now,

again express the second data into expression

16x+4y

let

f(x)=16x+4y

substituting eq.i

[tex]f(x)=16x+4(\frac{4}{x})\\\\f(x)=16x+\frac{16}{x}[/tex]

We need to minimize the equation .i.e. we need to find the derivative of the equation by equating it to zero

[tex]f(x)=16x+\frac{16}{x}=0[/tex]

Applying derivative on both sides,

[tex]f'(x)=16-\frac{16}{x^2}=0\\\\16=\frac{16}{x^2}\\\\x^2=1\\\\x=\pm 1[/tex]

But we know that, the given number is positive then,

x=1

here, x=1 is also known as the critical value of the equation.

now, substitute 'x' value in eq.i, we get

(1)y=4

y=4

Hence, the two positive numbers are 1 and 4.

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Chance that the first card is a 9: 4/52 or 1/13

Chance that the second card is a 9: 3/52

Total probability is 1/13 • 3/52 ≈ 0.00443786982249

0.004438 or 0.4438%

Answer:

umm 1/8

Step-by-step explanation:

Answer:

See the picture below.

Step-by-step explanation:

(a) The frequency distribution table is shown below.

(b) The value of Class width = 7, the midpoint of class 18-27 = 22.5 and the lower boundary = 18

(c) The frequency polygons is drawn below.

Speed of 33 cars are:

27, 23, 22, 38, 43, 24, 35, 26, 28, 18, 20, 25, 23, 22, 52, 31, 30, 41, 45, 29, 27, 43, 29, 28, 27, 25, 29, 28, 24, 37, 28, 29, 18

(a)

Lowest value is: 18

Highest value is: 45

So, classifying them into groups:

Let us assume the groups are: 18-27, 27-36, 36-45

So, x (Speed) --------- frequency

18-27 -------------- 12

27-36 ------------- 14

36-45 ------------- 7

(b)

Class width = 27-18=7

The midpoint of class 18-27 = 22.5

Lower boundary = 18

(c) The frequency polygons in drawn below.

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Answer:

y=1x

Step-by-step explanation:

as both x an y are the same x=y

i hope this is right :)

Answer:

x=25

Step-by-step explanation:

The top angle in the left triangle is 55 degrees by alternate interior angles

The left triangle has angles 55, 100, x

The sum of the angles of a triangle is

x+ 100 + 55 = 180

x + 155 =180

x = 180-155

x = 25

Answer:

{-6}N

Step-by-step explanation:

You are given 6 numbers and asked to classify them with respect to the sets of Natural numbers, Integers, and Rational numbers.

The given numbers are ...

-6; 6,3; -0,1277; 6,(6); -6,073992...; 197

Here, the comma (,) is used as the decimal separator, and the parentheses (6) indicate a repeating digit.

Classification

The sets you're asked to use for classification are ...

ℕ — the set of natural numbers, {1, 2, 3, ...}ℚ — the set of rational numbersℤ — the set of integers, {..., -3, -2, -1, 0, 1, 2, 3, ...}

(comma is used as a list separator)

Numbers

The numbers you're asked to classify are ...

-6; member of ℤ, but not ℕ6,3; member of ℚ, but not ℕ or ℤ-0,1277; member of ℚ, but not ℕ or ℤ6,(6); member of ℚ, but not ℕ or ℤ-6,073992...; not a member of ℚ, ℕ, or ℤ (irrational)197; member of ℕ and ℤ

Then the sets of interest are ...

1. (ℤ and not ℕ: negative integers) — {-6}

2. (ℕ and not ℚ: irrational counting numbers) — N, no such numbers

__

Additional comment

All natural number are integers, and all integers are rational numbers. Any member of ℕ or ℤ is a member of ℚ.

ℕ ⊂ ℤ

ℤ ⊂ ℚ

5 feet is the width of the pathway when a rectangle garden is 90 feet by 50 feet.

Given that,

A rectangle garden is 90 feet by 50 feet. Around the garden, Alice paved a walkway that was x feet wide. The garden's footprint, including the walkway, is 6,000 square feet.

We have to find what is the pathway's width.

We know that,

Let x=width of the garden,

Then the length and width of the garden would be 90+2x and 50+2x.

Area = l x w

6000 = (90+2x)(50+2x)

6000 = 4x² + 100x + 180x + 4500

6000 = 4x² + 280x + 4500

1500 = x² + 70x + 1125

x² + 70x - 375 = 0

x²+75x-5x-375=0

x(x+75)-5(x+75)=0

(x+75)(x-5)=0

x+75=0 or x-5=0

x=-75 or x=5

The width can not be negative so

x=5

Therefore, 5 feet is the width of the pathway when a rectangle garden is 90 feet by 50 feet.

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840 is the segments connecting the polyhedron's vertices are inside the polyhedron rather than on a face or an edge.

Given that,

Twelve squares, eight regular hexagons, and six regular octagons make up the faces of a convex polyhedron. One square, one hexagon, and one octagon converge at each vertex of the polyhedron.

We have to find how many of the segments connecting the polyhedron's vertices are inside the polyhedron rather than on a face or an edge.

We know that,

This truncated cuboctahedron represents the described polyhedron.

There are ( 48 2 ) = 1128 segments connecting the polyhedron's vertices. The segments that lie along an edge or a face must now be subtracted away.

We know that,

V = 12×4 = 8×6 = 6×8 = 48.

Because every vertex of the polyhedron coincides with exactly one vertex of a square, hexagon, or octagon.

Three edges intersect at each vertex to produce it. Every edge is tallied twice, once at each of its ends, resulting in a total of E = 3/2V = 72 edges.

Every segment that resides on a polyhedron face must be a diagonal of that face.

n(n-3)/2 = 2 diagonals are contributed by each square.

Each octagon costs 20 and each hexagon 9.

Thus, there are 2×12 + 9×8 + 20×6 = 216 diagonals.

By deducting,

1128 - 72 - 216 = 840

Therefore, 840 is the segments connecting the polyhedron's vertices are inside the polyhedron rather than on a face or an edge.

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Answer:

2x4=8+3=11

Step-by-step explanation:

first multiply 2 times 4 equals 8 and add 3 which equals 11.

The offered statement states that the distance traveled for the two plans—2 miles—costs the same amount to drive, making the cost y equal to $45.8.

What is the average rent?

The statute defines the standard rent as the rate charged for the first rental of a property after July 1, 1940. For structures constructed and rent after July 1, 1940, the agreement rent is the standard rate.

Briefing:

Assuming Lashonda traveled x miles and paid y in total, we obtain

Plan 1: y = 45 + 0.40x -------(1)

Plan 2: y = 46 + 0.90x -------(2)

when the price of both plans is equal

from (1) and (2)

45 + 0.40x = 46 + 0.90x

45 - 46 = 0.40x - 0.90

-1 = -0.5x

x = 2

∵ y = 45 + 0.40 * 2

y = 45.8

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The complete question is-

Lashonda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $45 and costs an additional $0.40 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.90 per mile driven. For what amount of driving do the two plans cost the same? (in miles). What is the cost when the two plans cost the same? ( in $).