There are 12 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

The transformations that leave the size of a figure unchanged are dilation and reflection.

1. Dilation: A dilation is a transformation that uniformly scales a figure by a factor. When a figure undergoes dilation, all its dimensions (lengths, angles, and ratios) are scaled uniformly, but the shape and proportions remain the same. The figure becomes larger or smaller, but its size is preserved. The scale factor determines the magnitude of the dilation.

2. Reflection: A reflection is a transformation that flips a figure over a line, creating its mirror image. During reflection, the distance between corresponding points on the original figure and its image remains the same. This means that if the original figure had a certain size, the reflected image will have the same size. Reflection does not affect the dimensions or proportions of the figure.

On the other hand, translation and rotation can change the size of a figure:

1. Translation: A translation moves a figure from one location to another without changing its shape or orientation. While the position of the figure changes, the size of the figure remains the same.

2. Rotation: A rotation turns a figure around a fixed point called the center of rotation. When a figure is rotated, its dimensions and proportions stay the same, but the arrangement of the points changes. However, if the rotation is not a multiple of 90 degrees, the size of the figure can appear distorted.

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Answer:

5uv+35uw+7sv-49sw

Step-by-step explanation:

u(5v+35w)+s(7v-49w)

=5uv+35uw +7sv-49sw

You need to multiply the numbers in the brackets by the number in front of the bracket.

hope it helps !!!!!

The number of distinct sequences of letters is 8 × 26⁷.

How many distinct sequences of letters can you make if each sequence is ten letters long and contains the subsequence die?

We have to find the number of distinct sequences of letters that can be made. Here, the word 'die' can occur in any position of the ten-letter sequence. Therefore, we have to find the number of distinct sequences of seven letters that can be formed, which are not related to the word 'die'. The number of distinct sequences of seven letters that can be formed with no restrictions is:

26 × 26 × 26 × 26 × 26 × 26 × 26 = 26⁷

The word 'die' has three letters, and it can be placed in any of the eight positions of the seven-letter sequence (that is not related to the word 'die'). We have a total of 8 possibilities to choose where to put the word 'die'.Thus, the number of distinct sequences of letters is:

8 × 26⁷ (or) 703, 483, 260, 800.

The number of distinct sequences of letters is 8 × 26⁷.

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Given

Find

NQ

Explanation

As we see ,

NQ = NP + PQ

NP = 1 1/4 in

PQ = 1 in

so ,

NQ =

Final Answer

Hence , the length of NQ is 2 1/4 in

Answer:

Hopefully this makes sense. All you're doing is inputting your X VALUES (or your inputs) and using those numbers to find our what your Y VALUES (or your outputs) are

x: -2     -1      0     1      2      3

y: 49     7       1     \(\frac{1}{7}\)       \(\frac{1}{49}\)      \(\frac{1}{343}\)

Answer: 15 ways

Step-by-step explanation: 5+4+3+2 + 1 = 15

Answer:

15.

Step-by-step explanation:

That would be the number of combinations of 2 from 6.

6C2

= 6! /4!2!

=  6*5/2*1

= 15.

Using the percentage concept, it is found that 4.6% of the total energy production was generated by wind machines.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, the parameters are:

a = 187.4, b = 4098.

Hence the percentage is given by:

P = 187.4/4098 x 100% = 4.6%.

4.6% of the total energy production was generated by wind machines.

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The required answer is set the reorder point at approximately 304.68 units.

Explanation:-

1) To calculate the safety stock for a 95% service level, we need to find the appropriate z-value for the normal distribution. A 95% service level corresponds to a z-value of 1.645.

Safety Stock = z-value * Standard Deviation of Demand during Lead Time
Safety Stock = 1.645 * 15
Safety Stock ≈ 24.68 units

So, Thomas needs to maintain approximately 24.68 units of safety stock to provide a 95% service level.

2) To calculate the reorder point, we need to consider the average demand during lead time and the safety stock.

Reorder Point = (Average Daily Demand * Lead Time) + Safety Stock
Reorder Point = (70 units/day * 4 days) + 24.68 units
Reorder Point ≈ 280 + 24.68
Reorder Point ≈ 304.68 units

Thomas should set the reorder point at approximately 304.68 units.

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Your question has been heard loud and clear.

Among the two companies A and B , Company which is likely to sell more than 4000 stocks is company A , because company A assembled all the profit for the month and didnt invest it casually like company B. Hence company A has more money and is able to sell a good 4000 stocks.

Thank you

The square root of 3/15 can be simplified to √(1/5) or 1/√5 for a given radical expression.

To simplify the given radical expression, we can start by simplifying the fraction inside the square root. Both 3 and 15 have a common factor of 3, so we can divide both the numerator and denominator by 3. This gives us the simplified fraction 1/5.

Now, let's focus on the square root of 1/5. The square root of a fraction can be simplified by taking the square root of the numerator and the square root of the denominator separately. The square root of 1 is 1, so we have 1/√5.

However, in order to simplify the expression further, we want to rationalize the denominator, which means getting rid of the square root in the denominator. To do this, we multiply the numerator and the denominator by the conjugate of the denominator, which is √5. This gives us (1 * √5)/(√5 * √5) = √5/5.

Therefore, the simplified radical expression of √(3/15) is √5/5 or 1/√5.

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9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

  the measure of a semicircle is 180°; a circle is 360°

  vertical angles are congruent (have the same measure)

  the measures of adjacent arcs add to give the measure of the overall arc

  the measure of an arc is the same as the central angle it subtends

__

arc RV

Angle RCV is a vertical angle with respect to angle PCT, so has the same measure. It is a central angle, so ...

  angle RCV = angle PCT = 35° = arc RV

arc RTV

Arc RTV is arc RV the long way around. Its measure is the difference between 360° (a full circle) and short arc RV:

  arc RTV = 360° -35° = 325°

arc PVR

Arc PVR is a semicircle.

  arc PVR = 180°

arc PQ

Arc PQR is a semicircle, so is 180°. Arc QR is shown as 65°, so arc PQ is the difference:

  arc PQ = 180° -65° = 115°

Answer:

58%

Step-by-step explanation:

Answer:

187.5%

Step-by-step explanation:

100/400=0.25
0.25 x 750= 187.5%

Answer:

(3, 2)

Step-by-step explanation:

y = 5x - 13

3x + 5y = 19

~Substitute since we know what "y" equals

3x + 5(5x - 13) = 19

~Simplify

3x + 25x - 65 = 19

28x - 65 = 19

~Solve for x

28x = 84

28x/28 = 84/28

x = 3

~Solve for y using what we got for x

y = 5(3) - 13

y = 15 - 13

y = 2

Best of Luck!

Answer:

(3,2)

Step-by-step explanation:

3x+5(5x-13)=19

3x+25x-65=19

28x-65=19

     +65  +65

28x=84

84/28=3

x=3

y=5(3)-13

y=15-13

y=2

The quadratic equation of function in the standard form is Y = -1.25 x² + 5x.

Since quadratic equation's x-intercepts are (-5, 0). That indicated that the quadratic equation's two elements are (x + 5) and (x -0).

f(x) = a (x + 5) (x - 0) (x - 0)

= ax+5a

The quadratic equation's graph goes through (4, 0). thus, we must change equation 1 to read x = 4 and f(x) = 0.

0 = a × 4² + (5 × 4)

0 = a × 16 +20

The quadratic equation is known to have the form ax² + bx + c = 0.

f(x) = -1.25 + 5x  

Consider y= F(x)

∴ Y = -1.25 x² + 5x.

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The correct option for this question is B. There has been a rise in three-point shots, and players tend to score more points now.

Why it is?

The factor that makes it challenging to make a fair comparison between a current NBA star and an NBA star from the 1990s is:

B. There has been a rise in three-point shots, and players tend to score more points now.

The increase in three-point shots has significantly changed the way the game is played and the strategies used by teams, which makes it difficult to compare the performance of players from different eras.

Players in the current NBA tend to score more points because of the increased emphasis on the three-point shot, while players from the 1990s may have had different strengths and styles of play that were more effective in that era. Therefore, it is challenging to make a fair comparison between players from different eras based solely on their statistics.

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Answer:

g(x)= (x-5)/4

Step-by-step explanation:

F(x)=x-5

g(x)=1/4 f(x)

==> g(x)=(1/4)(x-5)

—> g(x)= (x-5)/4

To solve complex fractions there are two methods -

1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.

2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.

What is a complex fraction?

A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.

There are two ways to solve a complex fraction -

Method 1 : Take an example - (1/3-1/4)/(1/8+1/2)

Step 1 - If necessary, combine the denominator and numerator into a single fraction.

Add the numerator -

=1/3-1/4

=(4-3)/12

=1/12

Add the denominator -

=1/8+1/2

=(1+4)/8

=5/8

Combine back to form a complex fraction -

=(1/12)/(5/8)

Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.

Step 3: Simplify the rational expression if necessary.

=(1/12)×(8/5)

=8/60

=2/15

Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]

Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.

(x^2-25)=(x+5)(x-5)

The denominator of the denominator’s fraction  has the following factor -

(x-5)

Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -

(x+5)(x-5)

By multiplying the LCD by the numerator and denominator -

=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]

=(2x+1)/(2x+1)(2x-1)(x+5)

Step 2 - Simplify the rational expression if necessary.

=(2x+1)/(2x+1)(2x-1)(x+5)

=1/(2x-1)(x+5)

Therefore, there are two methods to solve complex fractions.

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The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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Answer:

4.2

Step-by-step explanation:

I'm not 100% sure, but I did the math and ended up with 4.2! I hope this helps!

The given statement "Compared to a z-score, a hypothesis test with a t statistic requires more information from the sample." is True because hypothesis test need more information than z-score.

A z-score is used when the population standard deviation is known, and the sample size is large. In contrast, a t-statistic is used when the population standard deviation is unknown, and the sample size is small.

When conducting a hypothesis test with a t-statistic, more information from the sample is required to estimate the population standard deviation. This is because the sample standard deviation is used to estimate the population standard deviation, and it is not always an accurate estimate, especially when the sample size is small.

In addition, the use of a t-distribution introduces more uncertainty into the test, as the distribution is wider and flatter than the normal distribution used for z-scores.

Therefore, when conducting a hypothesis test with a t-statistic, more information from the sample is required to account for the increased uncertainty introduced by the smaller sample size and the estimation of the population standard deviation.

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Answer:

See below

Step-by-step explanation:

The chi-squared analysis aims to check whether observed frequencies in one or more categories match up with expected frequencies. I don't see any answer choices, but hopefully this short explanation will help!

Answer:

hi, hope you are good!, hope you have the greatst holidays ever!

Step-by-step explanation:

Answer:

aww thank you, u are too kind :) I appreciate that u are generous enough to give free points to people, I thank you for your generosity. Happy holidays and stay safe <333

Step-by-step explanation:

Answer: x=9

Step-by-step explanation: 2(x+5+)=3x+1 or 2x+10=3x+1

Answer:

x =  9

Step-by-step explanation:

2(x + 5) = 3x + 1  Distribute the 2

2x + 10 = 3x + 1  Subtract 2x from both sides

10 = x + 1  Subtract from both sides

9 = x

Check:

2(x + 5) = 3x + 1

2(9 + 5) = 3(9)+1

2(14) = 27 + 1

28 = 28

\(\large\tt\sqrt{2} \)

\(\begin{gathered} \: \end{gathered}\)

\(\large\tt\sqrt{ 1989 \div 1989 \times 1+1 \times 1 }\)

\(\large\tt\sqrt{1\times 1+1\times 1} \)

\(\large\tt\sqrt{1+1} \)

\(\large\tt\sqrt{2} \)

\(\begin{gathered} \: \end{gathered}\)

\( \rm \color{teal} = \sqrt{2} \\ \\ \color{teal} \tt \: in \: \: alternate \: \: form \\ \\ \rm\color{teal} \: = 1.41421\)

Step-by-step explanation:

\( \bold \color{navy} \sqrt{1989 \div 1389 \times 1 + 1 \times 1} \)

\( \rm \color{red} \sqrt{1 + 1} \)

\( \bold \color{teal} \sqrt{2} \)

\( \rm \color{red} in \: \: alternate \: \: form \\ \\ \tt \color{pink} = 1.41421\)

The correct option is Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction

Emanuel did a mistake in her first step by taking negative sign twice.

Positive results are obtained if the sign are same. If the signs disagree, the outcome is adverse. Addition: Keep in mind that a signed number's magnitude and absolute value are the same.

Multiplication and division appear to be more difficult than addition and subtraction, but they are actually far less challenging. The result of multiplying two positive or two negative numbers with the same sign, according to the rule, will always be positive.

For instance:

According to question,

= \(\left(\frac{3}{5}\right)\left(\frac{4}{9}\right)\left(-\frac{1}{2}\right)\)

Emanuel found the solution, but she erred in the first step. She incorrectly distributes the negative sign with both 1 and 2, as she should. We can write negative sign with either 1 or 2 but not both.

Correct steps are:

Step 1:

\(\frac{(3)(4)(-1)}{(5)(9)(2)}\)

Step 2:

\(\frac{-12}{90}\)

Step 3:

\(-\frac{2}{15}\)

Therefore, the step 1 was miscalculated by Emanuel.

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The complete question is -

Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)

Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction Step 2 StartFraction negative 12 over negative 90 EndFraction

Step 3 StartFraction 12 over 90 EndFraction

Step 4 StartFraction 2 over 15 EndFraction

In which step did his first error occur?

The below mentioned are the factors of given equations

Factorization:

In mathematics, factorization or factoring is the method of expressing a quantity or another numerical component as a product of many factors, typically small or easier components of the same kind.

In the case of integers, ancient Greek mathematicians were the first to consider factorization. They demonstrated the fundamental theorem of arithmetic, which states that any positive integer can be taken account into a prime number product , which cannot be factored into integers greater than 1. Furthermore, this factorization is unique until the order of the factors is changed.

1)\(9a^{2}-18a=9a(a-2)\)

2)\(16a^{3}b^{3} +32ab=16ab((ab)^{2} +2)\)

3) inappropriate question

4)\(3x^{5} +4x^{4} -5x^{2} =x^{2} (3x^{3} +4x^{2} -5)\)

5)\(2x^{3} -x=2(x-1)(x+1)\)

Therefore,The above mentioned are the factors of the given questions.

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Answer:

-4/6, -8/12, -16/24, etc. look at the picture.

Step-by-step explanation:

Brainliest Please!!! Also, Tip: show the multiple choice options.

Answer:

4/6

Step-by-step explanation:

Answer:

18000

Step-by-step explanation:

4500=1/4 of year

to get year we x 4

4500x4=18000 dollars

Ms. Lisak’s yearly salary will be equal to $18000.

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 Ms. Lisak’s salary is $4,500 quarterly. Yearly salary will be calculated by making an expression as below,

Multiply the quarterly salary by 4.

4500=1/4 of year

To get a year we multiply by 4.

4500x4 = 18000 dollars

The yearly salary will be $18000.

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Using trigonometric ratio which is tangent of the angle, the value of x and y in the triangle are 14 and 6.95 respectively

Trigonometric ratios are ratios of two sides of a right triangle to one another. The most commonly used trigonometric ratios are sine, cosine, and tangent. These ratios are used to calculate angles and distances in a variety of problems.

To find the value of x and y, we can use trigonometric ratio;

Using tangent of the angle;

tan 59 = (4y - 3) / (2y + 1)

(2y + 1)tan59 = 4y - 3

Solving for y

y = 6.95

To find the value of the unknown angle opposite the right angle;

59 + 90 + z = 180 (sum of angles in a triangle)

z = 31

The value of x will be;

45 + (x + z) + 90 = 180 (sum of angles in a triangle)

45 + x + 31 + 90 = 180

166 + x = 180

x = 180 - 166

x = 14

The value of x and y are 14 and 6.95 respectively

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