What is 2 3/8 as an improper fraction?

Give answers, please.

The radius of the circumscribed triangle is the length from one vertex to the circumcenter Q of the triangle ∆XYZ, that is radius YQ = 13.

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. This point is equidistant from the three vertices of the triangle and is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.

Considering the right triangle QJY, the radius YQ can be derived using Pythagoras rule as follows:

(YQ)² = 12² + 5²

(YQ)² = 144 + 25

(YQ)² = 169

YQ = √169 {take square root of both sides}

YQ = 13

Therefore, the radius of the circumscribed triangle is the length from one vertex to the circumcenter Q of the triangle ∆XYZ, that is radius YQ = 13

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Answer:

z=66

Step-by-step explanation:

Since VX is a mid-segment of UWY:

\( \frac{z - 33}{z} = \frac{1}{2} \)

\(z = 2z - 66 \\ - z = - 66 \\ z = 66\)

Answer:

91% of the time the auto will get less than 26 mpg

Step-by-step explanation:

Think of (or draw) the standard normal curve.  Mark the mean (22.0).  Then one standard deviation above the mean would be 22.0 + 3.0, or 25.0.  Two would be 22.0 + 2(3.0), or 28.0.  Finallyl, draw a vertical line at 26.0.

Our task is to determine the area under the curve to the left of 26.0.

Using a basic calculator with built-in statistical functions, we find this area as follows:

normcdf(-100, 26.0, 22.0, 3.0) = 0.9088, which is the desired probability:  91% of the time the auto will get less than 26 mpg.

On solving the query we can say that The Yankees' chances of losing function when they score fewer than 5 runs are therefore around 0.33, or 33% (rounded to the nearest thousandth).

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

P(A), P(B), and P(C) are all equal to 0.55.

The following formula may be used to determine the likelihood that the Yankees will lose when they score fewer than 5 runs:

P(C and not B) / P(not B) = P(C | not B)

We are aware of:

not B = the opposite of the occurrence B is the scenario in which the Yankees fail to score five runs in a game.

P(not B) = P(B) - 1.

Now, we may compute P(C | not B) using the formula below:

P(C and not B) / P(not B) = P(C | not B)

P(C | not B) is equal to 0.1419 / (1 - 0.57).

P(C | not B) = 0.1420 / 0.4330 P(C | not B) = 0.331

The Yankees' chances of losing when they score fewer than 5 runs are therefore around 0.33, or 33% (rounded to the nearest thousandth).

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On solving the query we can say that The Yankees' chances of losing function when they score fewer than 5 runs are therefore around 0.33, or 33% (rounded to the nearest thousandth).

What is function?

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

P(A), P(B), and P(C) are all equal to 0.55.

The following formula may be used to determine the likelihood that the Yankees will lose when they score fewer than 5 runs:

P(C and not B) / P(not B) = P(C I not B)

We are aware of:

not B = the opposite of the occurrence B is the scenario in which the Yankees fail to score five runs in a game.

P(not B) = P(B)-1.

Now, we may compute P(C I not B) using the formula below:

P(C and not B)/ P(not B) = P(C I not B)

P(C❘ not B) is equal to 0.1419/(1 -0.57).

P(C❘ not B) 0.1420/0.4330 P(C❘ not B) = 0.331

The Yankees' chances of losing when they score

fewer than 5 runs are therefore around 0.33, or

33% (rounded to the nearest thousandth).

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The estimated value of 2/3 is roughly 0.67, of 1 it is 1 and for 0 it is 0.

What does a estimate mean?

A number given to a demographic parameter that was taken from the a statistical sample. A pricing estimate for the job that needs to be done. 3. an assessment or view of the essence, character, or trait of an object or a person.

What is an illustration of an estimate?

To make computations simpler, an estimate is an approximate estimation of the real value, amount, or quantity.

For 2/3, on dividing we get the value as 0.67.

Since 1 is a number and doesn't need to be rounded or approximated, the guess is 1.

Since it is a number without a fractional component, the approximation of 0 also is 0.

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Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

\(\frac{170}{17}\) = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

The number of yellow marbles in the bag is 50

Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values.  For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.

In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.

Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles

Sum of ratios = 9 + 3 + 5 = 17

(5 / 17) x 170 = 50 marbles.

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Answer/Step-by-step explanation:

$300 is the normal price the sale is 20% off

You would need to multiply them together because it then gives you how much it is off.

Then then you would subtract it.

That takes D and C off.

A , is adding and we arnt adding we are subtracting.

Therefore you answer is: B

The value of x is 11. 18

The value of y is 8. 67

Using the Pythagorean theorem, we have that;

x² = y² + z²

Substitute the values, we get;

x² = 10² + 5²

find the squares

x² = 100 + 125

Add the values

x² = 125

Find the square root

x = 11. 18

Using the Pythagorean theorem, we have;

y² = 9² - (√6)²

Find the squares

y² = 81 - 6

substract the values

y² = 75

Make 'y' the subject

y = 8. 67

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Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

The graph that shows the new position of the rectangle after a translation is; Option C

When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.

Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.

In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.

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Answer:

2.05

Step-by-step explanation:

Divide 205 by 100

The statement refers to the way that symbols are represented in sequences, a common practice in formal language theory, by employing a notation that makes symbols a part of the sequence.

In formal language theory, a language is often defined as a set of strings over an alphabet. By representing any alphabetic sequence of symbols as a single string using the notation outlined in the statement, we are able to recognise the language that comprises that sequence as a collection of strings. A subset of the language having all possible strings over the alphabet (a, b, and c) is the set of strings abc, which may be used to represent the language including the sequence (a, b, and c). So, this notation offers an easy approach to discuss languages and the sequences that make up such languages.

Hence, the statement relates the symbols and sequences.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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Answer:

4.5

Step-by-step explanation:

To find the width of the rectangle, you must divide the area by the length.

7 and 7/8 divided by 1 and 3/4 = 4 1/2

The width of the rectangle is 4 1/2 or 4.5

check:

4 1/2 x 1 3/4 = 7 7/8

Answer:

4.5

Step-by-step explanation:

First, think back to literal equations in Algebra 1 or 2.

The formula for the area of a rectangle is:

\(a=lw\)

Fill in the variables that we know and solve.

\(7\frac{7}{8} =(1\frac{3}{4})w\)

Divide everything by (1 and 3/4)

\(\frac{\frac{63}{8}}{\frac{7}{4}}=w\)

Simplify:

\(w=\frac{9}{2}=4.5\)

w=4.5

To solve this problem, we will use these rules

The given expression is

By using rule (1)

Use the rule (2) with log x^5

Then the last answer is

The answer is 5 log x + log y

Answer:

0.13

Step-by-step explanation:

1/10 + 3/100 =

10/100 + 3/100 =

13/100

Hope that this helps you and have a great day:)

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Answer:  y=2-2x

Step-by-step explanation:

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer:

Statements:                                                 Reasons:

1) ∠2 and ∠4 are vertical angles               given

2) limes m and n intersect at P                    definition of vertical angles

3) ∠3 and ∠4 are linear pair                       definition of linear pair

4) ∠2 and ∠3 are linear pair                       definition of linear pair

5) m∠3 + m∠4 =180                                     angle addition postulate

6) m∠2 + m∠3 =180                                     angle addition postulate

7) m∠2 + m∠3 = m∠3 + m∠4                   substitution property

8) m∠2 = m∠4                                             subtraction property

9) ∠2 ≅ ∠4                                                 definition of congruent(≅) angles

This is what I got those other answers didn’t work for me

The simple interest for the present value of $10,000 with interest 6% is $15,400

Simple interest:

The general for of the simple interest is calculated as,

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

r = Rate of Interest per year in decimal; r = R/100

t = Time Period involved in months or years

Given,

Here we need to find the present value of $ 10,000 at a simple interest rate of 6 % in 9 years and we have to round off it into 2 decimal places.

First, we have to convert R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Now, we have to Solve our equation:

A = 10000(1 + (0.06 × 9)) = 15400

A = $15,400.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $10,000.00 at a rate of 6% per year for 9 years is $15,400.00.

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Answer:

Step-by-step explanation:

You want the center, radius, and equations in standard form and general form for the circle shown in the graph.

The center is the point marked. Its coordinates are ...

  (x, y) = (2, -1)

The radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.

Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.

The radius is 4 units.

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

For center (2, -1) and radius 4, this is ...

  (x -2)² +(y +1)² = 16 . . . . standard form equation

The general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:

  (x -2)² +(y +1)² = 16 . . . . . standard form

  x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16

  x² +y² -4x +2y -11 = 0 . . . . general form equation

Answer:

Check image

Step-by-step explanation:

Answer:

The ball will not reach a height of 41 meters.

The discriminate is 784

Step-by-step explanation:

You know that the height h of the ball, in meters, at time t seconds is modeled by the function h(t) = - 5*t² + 2*t + 39

To find out if the ball will reach a height of 41 meters, you must calculate the maximum of the function, that is, the highest or highest point on the graph.  That is, the maximum in a function f is the largest value that the function takes.

The vertex is a point that is part of the parabola, which has as its ordinate the maximum value (as in this case) or minimum value of the function. That is, the vertex is the maximum of the function (as in this case) or minimum.

In this case, the maximum of t is obtained by:

\(t=\frac{-b}{2*a}\)

Being a=-5 and b=2 (comparing with a quadratic function of the form: f(x)=a*x² + b*x +c)

\(t=\frac{-2}{2*(-5)}\)

t= 0.2

The maximum height value must be obtained by substituting the previously calculated value of t in the function:

h(0.2) = - 5*0.2² + 2*0.2 + 39

h(0.2)=39.2

So the maximum height the ball will reach is 39.2 meters. The ball will not reach a height of 41 meters.

The discriminate of a quadratic function is:

Δ=b²-4*a*c

In this case, being a=-5, b=2 and c=39, the discriminate is:

Δ=2²-4*(-5)*39

Δ= 4+780

Δ= 784

The discriminate is 784

The first derivative test is the process of analyzing functions using their first derivatives in order to find their extreme point.

No, ball can not reach at height of 41 meters.

Since, The height h of the ball, in meters, at time t seconds is modeled by the function  \(h(t)=-5t^2+2t+39\)

To find maximum height where can ball reach. We use first and second derivative test.

\(h(t)=-5t^2+2t+39\\\\\frac{dh}{dt}=-10t+2\)

Now, equate above derivative to zero.

 \(-10t+2=0\\\\t=1/5\)

Now, find second derivative

\(\frac{d^{2}h }{dt^{2} } =-10\)  , Which is less than zero.

Therefore, at t= 1/5 second , will give maximum height that can ball reach.

So,  h(1/5) = 39.2 meters.

That is, ball can reach at 39.2 meters.

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