Fig. 17,19 shows the plan of a road which turns through a right angle to go round a building. Road path building Fig. 17. 19 To save time, people on foot cut off the corner. This gives a path which meets the road at 45". If the path is 24 m long, how much distance does it save?​

Answer: All of these expressions have the same value because the answer will always be 20.

Each dividend is 20 times the divisor.

Each dividend is 10 times the dividend below it.

Each divisor is 10 times the divisor below it.

The quotient of each pair of numbers is therefore the same.

The No Of ways are there to distribute the donuts = 34650

What is Probability?

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Number of ways to distribute 12 donuts in 12 kids so that each kid got one donut = 12!

Though, there are 4 chocolate, 4 jelly and 4 glazed donuts.

Hence,

Total number of ways to distribution the donuts

= 12/4*4*4

= 34650

Total number of ways = 34650

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The No Of ways there to distribute the donuts = 34650

What is Probability?

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Number of ways to distribute 12 donuts in 12 kids so that each kid got one donut = 12!

Though, there are 4 chocolate, 4 jelly and 4 glazed donuts.

Hence,

Total number of ways to distribute the donuts

= 12/4*4*4

= 34650

Total number of ways = 34650

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The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Answer:

$198.38

Step-by-step explanation:

I took the quiz

Answer:

198

Step-by-step explanation:

Part A) Tyler answers within 2 questions of Benjamin if he answers B+2, B+1, B, B-1, or B-2 questions correctly.

Part B) Based on the solution from Part A, Tyler will win prizes for correctly answering the corresponding number of questions.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Part A:
Since we want to find the possible values of T, we can isolate T on one side of the inequality:

T - B ≤ 2

T ≤ B + 2

or

T - B ≥ -2

T ≥ B - 2

Therefore, Tyler answers within 2 questions of Benjamin if he answers B+2, B+1, B, B-1, or B-2 questions correctly.

Part B:
Based on the solution from Part A, Tyler will win prizes for correctly answering the corresponding number of questions.

This is because Tyler's score is within 2 questions of Benjamin's score. Therefore, he will receive the same prizes as Benjamin for answering the same number of questions, as well as additional prizes for answering 1 or 2 fewer questions than Benjamin.

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The equation of the line will be 5y = 4x+5

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

If linear equation is represented by y = mx+b and b is the y intercept and m is the slope. it means from the graph we must deduce our slope and intercept.

The slope = change in y/ change in x

i.e slope = (y2-y1)/(x2-x1)

= 5-1/5-0

= 4/5

therefore the slope is 4/5

And, from the graph, the y-intercept is 1

therefore y = (4/5)x + 1

multiplying all terms by 5

5y = 4x +5

Therefore the equation of the line is 5y = 4x+5

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Answer:

175

Step-by-step explanation:

500*.35

Answer:

what?

Step-by-step explanation:

its says 8 points and your saying 25

By hypothesis , μ ≤ $200 is the mean cost of science textbooks are no more than $200.

What does "mathematical hypothesis" mean?

A proposition is considered to be a hypothesis if it is plausible given the available information but has not been proven true or wrong. An assertion that will serve as the foundation for hypothesis testing is referred to as a hypothesis in statistics (also known as a statistical hypothesis).

                          The statement "all fours sides of a quadrilateral measure the same, then the quadrilateral is a square" states that if true, the quadrilateral is a square.

Here  n = 143

    the claim that the mean cost of science textbooks are no more than $200.

    H₀  : μ = $200

    H₁  :  μ ≤ $200

Therefore, this problem based on one sample t test for mean .

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The mean of the distribution is 0.6.

Explanation: Given, binomial probability distribution with n=3 and pi=0.20p(x): 0.512 0.384 0.096 0.008. We know that, the mean of a binomial distribution is given by np where n is the number of trials and p is the probability of success. In this question, n=3 and p=0.20So, the mean of the distribution is np=3 x 0.20 = 0.6. Therefore, the mean of the distribution is 0.6.The mean of a binomial distribution is a value that represents the average number of successes observed in a given number of trials. Here, we have given the binomial probability distribution with n = 3 and p = 0.20. To calculate the mean of the distribution, we have used the formula which is given by np, where n is the number of trials and p is the probability of success. Here, the number of trials is 3 and the probability of success is 0.20, so the mean is 3 x 0.20 = 0.6. Hence, the mean of the distribution is 0.6.

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Answer:

b = 9√5 (see below)

Step-by-step explanation:

Using the Pythagorean Theorem, you can find the missing side. The two sides connect to the right angle are the legs, and the sloping side across from the right angle is the hypotenuse.

We know that:

a² + b² = c²

—where a and b are legs and c is the hypotenuse.

Plug in the known values:

a² + b² = c²

18² + b² = 27²

324 + b² = 729

b² = 405

√b² = √405

b = √81 √5

b = 9√5

Answer:

20

Step-by-step explanation:

A^2+B^2=C^2

18^2+B^2= 27^2

324+B^2= 729

-324           -324

        B^2  = 405

         B= \(\sqrt{405)\\\)

B=20

Answer:

You were right the correct option is

- a > - b

The coordinates of the point on the unit circle corresponding to a central angle of 21 degrees are (0.93, 0.36), which is answer choice c.

The point on the unit circle corresponding to a central angle of 21 degrees can be found using the trigonometric functions sine and cosine.

In this case, the x-coordinate is equal to the cosine of the angle and the y-coordinate is equal to the sine of the angle.

Converting degrees to radians, we have:

x = cos(21) = 0.93

y = sin(21) = 0.36

A unit circle in mathematics is a circle with a radius of one, or one unit. The unit circle is frequently the circle with radius 1 that is located at the origin (0, 0) in the Cartesian coordinate system on the Euclidean plane, notably in trigonometry.

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The value of x from the given equation is 7.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is ∛(4x-1)-7=-4.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, ∛(4x-1)-7=-4

∛(4x-1)=3

Cubing on both side of an equation, we get

(∛(4x-1))³=3³

4x-1=27

4x=28

x=7

Therefore, the value of x is 7.

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I can't give the exact answer as the base pay and weekly hours arn't stated but here's how to solve letters in parentheses are place holders just plug in the numbers accordingly :)

Step-by-step explanation:

A.

figures needed, base pay (p) total hours worked (t) half

Saturday

p÷2= the ½ in time and a half (x)

p+x= 1 hr Saturday pay (s)

s+2= r (to cover the 30m)

7:00am to 11:30am 4hr 30m

12:00pm to 4:00pm 4hr

add them

8hr 30m

(s×8)+r= how much you were paid on Saturday

Sunday

p×2= h dubble pay

Calculate how many hrs worked on Sunday and apply the same logic as for Saturday appropriately divide the time if it doesn't come out as an even hour.

Final

Add Saturday and Sunday pay together to get weekend pay.

B.

Same formula hours worked times hourly pay.

Add the weekday and weekend pay together and thats pt B.

Hope this helps!

Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

a) N = 2^8 = 256

b)N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1

Given;

String of length 8, with two options (0 or 1) each.

a) for the number of bits of strings of length 8.

Each digit of the 8 digit string has 2 options.

For 8 digit, we have

N = 2×2×2.... = 2^8 =256

b) for bit of strings of length 8 or less.

For n string = 2^n

For n < 8

The number of bit strings for length 8 or less are;

N = N8 +N7 + N6 + ... +N1

N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1

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Answer:

1/8

Step-by-step explanation:

Leonard spent 1 fourth of his money on a sandwich.

Fraction of money spent on sandwich = 1/4

He spent 2 times as much on a gift for his brother as on some comic books.

= 1/4 × 2

= 2/8

Hence, Fraction of money spent on Comic books = 2/8

He had 3 over 8 of his money left.

Let us represent his total money has: 1

The fraction of his money that he spent on the comic books is calculated as:

= 1 -( 1/4 + 2/8+ 3/8)

Lowest Common Denominator = 8

= 1 - (2 +2 + 3/8)

= 1- 7/8

= 1/8

Therefore, the fraction of his money that he spent on the comic books is 1/8

Answer:

(3:-2) bc u must substitute -2 in for y in the 2th equation

If events A and B are independent with P(A) = 0.68 and P(A and B) = 0.544 then the value of P(B) is 0.8

We know that if events A and B are independent, then:

P(A and B) = P(A) × P(B)

We are given P(A) = 0.68 and P(A and B) = 0.544.

Substituting these values into the equation above, we get:

0.544 = 0.68 × P(B)

Solving for P(B), we get:

P(B) = 0.544 / 0.68 = 0.8

P(B) = 0.800

Hence, if events A and B are independent with P(A) = 0.68 and

P(A and B) = 0.544 then the value of P(B) is 0.8

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Answer:

3x + 4 = 5x − 10

Step-by-step explanation: i took the test :)

The mean of the data set is: 28.4

The standard deviation is: 13.7.

The five-number summary is:

Minimum: 9

First Quartile: 16

Median: 27

Third Quartile: 38

Maximum: 52

To find the mean of the data set, we add up all the numbers and divide by the total number of values:

Mean = (9 + 16 + 16 + 22 + 22 + 32 + 33 + 38 + 44 + 52) / 10

= 284/10 = 28.4

To find the standard deviation, we can use the formula as shown in the image attached below. The method to use has also been explained.

The standard deviation is: 13.7.

To find the five-number summary, we need to order the data set from smallest to largest:

9, 16, 16, 22, 22, 32, 33, 38, 44, 52

Then we can find the minimum, maximum, and quartiles:

Minimum: 9

Q1 (first quartile): the median of the lower half of the data set, which is 16

Median (Q2, second quartile): the middle value of the data set, which is (22 + 32) / 2 = 27

Q3 (third quartile): the median of the upper half of the data set, which is 38.

Maximum: 52

Therefore, the five-number summary for the data set is:

Minimum: 9

First Quartile: 16

Median: 27

Third Quartile: 38

Maximum: 52

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The mean and the standard deviation of the given data set above would be = 28.4 and 13 respectively.

The mean of the date set cam be calculated by the summation of the whole data set and division by the number of data set.

That is;

=9+16+16+22+22+32+33+38+44+52./10

= 284/10

= 28.4

The standard deviation; find the square of the difference between each data and the mean.

That is;

9-28.4= −19.4²= 376.36

16-28.4=−12.4² = 153.76

16-28.4= −12.4² = 153.76

22-28.4= −6.4² = 40.96

22-28.4= −6.4² = 40.96

32-28.4= 3.6² = 12.96

33-28.4= 4.6² = 21.16

38-28.4=9.6² = 92.16

44-28.4=15.6² = 243.36

52-28.4= 23.6² = 556.96

Sum the square of the outcome above;

That is; 376.36+153.76+153.76+40.96+40.96+12.96+21.16+92.16+243.36+556.96 = 1692.4

Divide by the number of data set;

= 1692.4/10

= 169.24

Take the square root of the outcome;

=√169.24

= 13.

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The Present value of a regular annuity, $5,000 each, with 60 quarterly payments compounded quarterly at 2.5%Per year is $19.

A present value (PV) calculation tells you how much money is needed now to generate a series of future payments, again assuming no change in interest rates.

According to the Question:

Given, A = $5000, n = 60

Also, r = 60/ 100 × 1/4

​           = 0.15

∴V = A/r ×[1−(1+r)⁽⁻ⁿ⁾ ]

    = 5000/0.15 ×[1−(1.15)⁽⁶⁰⁾ ]

Now,

let x = (1.02) (−8)

⇒ log x = − 60 log(1.15)

             = − 60(0.0606)

⇒ log x = − 3.636

⇒ x = 0.56050

⇒ V= 5000/0.15 ×[1 − 0.56050]

       = $ 18683.333

       ≈ $ 19

Thus, the present value of annuity is $19.

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Answer:

Step-by-step explanation:

4 + 6z - 15 = 6z - 11

2(3z -4) = 6z - 8

Here's the tricky part. You are only taking 8 away from 6z

The result is going to be larger than when you take away 11 from 6x

Try it

suppose z = 7

6*7 - 8 = 42 - 8 = 34

6*7 - 11 = 42 - 11 = 31

34>31

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

Answer:

It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...

Step-by-step explanation:

By x the just mean what number,... so,...

what number + 6 = 7,

6 + what number = 7,

2 + what number + 5 = 7,

1 + what number = 7,

what number + 4 + what number = 7,

So that is what it mean,... hope it helps, alot LOL,... and,... Chow

Answer:

1. The yellow will be on the left.

2. The left side will be up and the right will be down.

3. A. Have been flip

B. None

Step-by-step explanation:

1. If it is flipped counterclockwise (if it is flipped clockwise it will be on the right)

2. A visual guide would make it easier to show you ... sorry

3. A. They have the same size, the shape was simply flipper since it doesn't point in the same direction

B. They aren't the same size, hence they aren't the same shape

Answer:

The ordered pair \((-2,\, -4)\) is indeed a solution to the system:

\(\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.\).

Step-by-step explanation:

Consider a system of equations about variables \(x\) and \(y\). An ordered pair \((x_{0},\, y_{0})\) (where \(x_{0}\) and \(y_{0}\) are constant) is a solution to that system if and only if all equations in that system hold after substituting in \(x = x_{0}\) and \(y = y_{0}\).

For the system in this question, \((-2,\, -4)\) would be a solution only if both equations in the system hold after replacing all \(x\) in equations of the system with \((-2)\) and all \(y\) with \((-4)\).

The \(\texttt{LHS}\) of the equation \(y = (1/2)\, x - 3\) would become \((-4)\). The \(\texttt{RHS}\) of that equation would become \((1/2) \, (-2) - 3\). The two sides are indeed equal.

Similarly, the \(\texttt{LHS}\) of the equation \(y = -2\, x - 8\) would become \((-4)\). The \(\texttt{RHS}\) of that equation would become \((-2)\, (-2) - 8\). The two sides are indeed equal.

Thus, \(x = (-2)\) and \(y = (-4)\) simultaneously satisfy both equations of the given system. Therefore, the ordered pair \((-2,\, -4)\) would indeed be a solution to that system.