shannon has 8 colored pencils. the lengths, in inches , are shown 7 1/4, 6 3/4, 7 3/4, 7, 6 2/4, 7 1/4, 6 1/4, 6
make a line plot to represent the data
what is the length of the shortest colored pencil
which length is most common
shannon's pencil case is 7 2/4 inches long. How many pencils are too long for the pencil case.
How many pencils are between 6 and 7 inches in length.

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

Using the Pythagorean theorem, we have that

\((20 x-2)^2 = (12x + 20)^2 + (25x)^2\)

Expand the bracket

\(400x^2- 4 = 144x^2 + 400 + 625x^2\)

Collect like terms

\(400x^2 - 144x^2 - 625x^2 = 400 + 4\)

\(-369x^2 = 404\)

Make x^2 subject

\(x^2 = \frac{404}{369}\)

\(x = \sqrt{1.0948}\)

\(x = 1. 046\)

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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The missing value in the table below assuming a linear relationship is 18

The table of values represents the given parameters

From the question, we understand that the relationship is a linear relationship.

This means that the x and y values change at constant rate

From the table, we have

As x increases by 1, y increases by 2

So, the missing value is

Missing value = 16 + 2

Evaluate

Missing value = 18

Hence, the missing value in the table below assuming a linear relationship is 18

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9514 1404 393

Answer:

  irrational

Step-by-step explanation:

A number that can be written as the ratio of two integers is called a "rational" number. If it cannot be written that way, it is called an "irrational" number

Irrational numbers cannot be written as a fraction of p/q.

Rational numbers can be written as a fraction of p/q.

An outlier is a part of the dataset that differs significantly from the rest.

Given the data:

The outlier by observation is 7

If the outlier were removed, would the mean increase or decrease?

Mean with the outlier :

Mean without the outlier:

Hence, if the outlier were removed, the mean would increase

Answer:

8.033

Step-by-step explanation:

Answer:

can you turn the picture over please so I can be able to read it

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

Step-by-step explanation:

You can set up a general equation for this problem, and then solve for r to get your answer. In this case its:

4a + 6r = 24

Now move 4a to the other side by subtracting 4a from both sides:

6r = 24-4a

Finally, divide both sides by 6 to get:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

Answer:

r = 4 -2/3 a

Step-by-step explanation:

She spent in total 24 dollars.  So, you can set the equation equal to 24.

? = 24

It costs $4 per pound for apples and $6 per pound for raspberries.  You could represent apples as 4a and raspberries as 6r.  Put this into the equation.

4a + 6r = 24

Now set the equation equal to r.  You have to get r alone on one side.

4a + 6r = 24

(4a + 6r) - 4a = (24) - 4a

6r = 24 - 4a

6r = (24 - 4a)/6

r = 4 - 4/6 a

r = 4 - 2/3 a

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

Yes, because y=5 will intersect the y axix (giving a horizontal line) and x =-3 will intersect the x axis (giving a vertical line). They will intersect at angle 90.

Step-by-step explanation:

Please gimme brainliest

Answer:

Yes

Step-by-step explanation:

When you graph y=4 it is a horizontial line going straight forever. You would mark a dot on postive four on the y-axis. For x, do the same thing mark on the negative three on the x-axis. But this one will be vertical.

REMEMBER-

Although the x-axis is horizontial when there is no Y (x,y) it will be vertical. And it is opposite for the Y.

Answer:

Step-by-step explanation:

Given:

We can see that:

Since 2² and 5² are perfect squares we get:

\(\\ \sf\longmapsto \sqrt{8}+\sqrt{50}\)

\(\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}\)

\(\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}\)

\(\\ \sf\longmapsto (2+5)\sqrt{2}\)

\(\\ \sf\longmapsto 7\sqrt{2}\)

Answer:

Step-by-step explanation:

We know the the total of angles for a triangle is 180 degrees.

So in this case we'd want to set up adding all of our angles and setting them equal to 180

17 + 126 + b = 180

then solve for b

143 + b = 180

b = 37 degrees

So the answer would be 37 degrees for angle b

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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Answer:

2/1=2

Step-by-step explanation:

Answer:

226.19 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

π = pie (3.142)

r = radius

h = height

Volume = π × 3² × 8

             = 226.19 cm³

Answer: i honestly dont know the answer

Step-by-step explanation:

Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

6,200        500        23,000

Hoped this helped:)

Step-by-step explanation:

Answer:

6,232 rounded is 6,200

490 rounded is 500

23,058 rounded is 23,100

Answer:

1/5 or 0.2

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Numbers that would be divisible by 5 are multiples of 5

they include = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

there are 20 numbers

Probability the two numbers would be divisible by 5 = 20/100

To transform to the simplest form. divide both the numerator and the denominator by 20

1/5

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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We want to calculate the volume of the spherical shell of chocolate.

The chocolate shell is spherical with a thickness of 0.5cm

Volumes of spherical shells can be calculated with the formula;

The outer diameter is 8cm. The outer radius is therefore 4cm

The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm

Therefore, we can find the volume of the chocolate shell as;

Therefore,

Answer:

A keeper is someone who is responsible for something, especially a property or a lot of animals. A keeper might take care of a big summer house during the winter months. You can use keeper to mean "caretaker", someone whose job involves maintaining a house, farm, estate, or grounds.

Hope it helps :)

The regular monthly rate for each phone is $22.45.

The monthly rate refers to the amount of money paid every month due to a service or debt.

The monthly rate can be calculated using the following formula.

This is because the family will pay a total of $62.25 for the 5 cellphones including the discount for the first month. Let's now solve this problem:

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The value of the variable in the circle is as follows;

a = 52.5°

b = 52.5°

c = 105°

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle.

Therefore,

c = 1 / 2 (100 + 110)

c = 1 / 2 (210)

c = 105 degrees

Let's find the value of a and b .

Hence,

a + b + 75 = 180

a + b = 105

The triangle formed is an isosceles triangle. Therefore, the base angles are the same.

a = b = 105 / 2 = 52.5 degrees

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Answer: 2 cakes and 2 slices of an extra ( assuming its cut into 10 slices)

Step-by-step explanation:

11 divided by 5 is equal to 2.2

in this case, 11 cakes divided by 5 friends is equal to 2 cakes and 2 slices.

normally you would just give them 2 cakes each (if you had 10 cakes) but you have 1 left over. So unless Sako wanted a cake as well, that's the answer(if she did, it would only be 2 cakes, no extra slices).

Answer: two and one fifth cakes

Step-by-step explanation: