A survey of 100 high school students provided this frequency table on how students get to school: Drive to Take the Grade Walk School bus Sophomore 2. 25 3 Junior 13 20 2. Senior 25 5 5 Find the probability that a randomly selected student drives to school. ​

Answer:

Step-by-step explanation:

Solve for x: -24 = 6x

-24 = 6x

x = -24 : 6

x = -4

---------------------

check

-24 = 6(-4)

-24 = -24

Answer:

Step-by-step explanation:

Given a tree is 3 ft tall when planted and grows at 3/4 ft per year, you want to identify the point-slope equation that does NOT fit this description, and you want two (2) more point-slope equations that DO fit this description.

The point-slope equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

The point representing the initial height of the tree is (x, y) = (years, feet) = (0, 3). If the rate of growth is 3/4 ft per year, then the equation can be written ...

  y -3 = 3/4(x -0) . . . . . . . . . matches choice (a)

All of the given equations have m = 3/4, so to find the incorrect equation, we need to find the point that is not on the line described by the above equation. We can do this by identifying the point (h, k) in each equation.

The attachment shows the point values used in each of the other equations (b) through (e). We find they all fall on the line except the point (15, 15) used in equation (e).

The incorrect equation is equation (e) y -15 = 3/4(x -15).

We can write additional equations by finding additional points that are on the line. For the purpose, it is convenient to choose x-values that are multiples of 4. Already, equations use x = 0, 4, 12, 15. We can choose x=8 and x=16 for the equations we write. The graph shows the corresponding y-values are 9 and 15, respectively. Then two additional equations could be ...

  y -9 = 3/4(x -8)

  y -15 = 3/4(x -16)

__

Additional comment

There are several ways to find the equation that doesn't belong. Another way, apart from plotting the points on a graph, is to rewrite each equation into the same form. Slope-intercept form is fairly convenient for this.

(a) y -3 = 3/4(x -0)   ⇒   y = 3/4x +3

(d) y -12 = 3/4(x -12)   ⇒   y = 3/4x -9 +12 = 3/4x +3

(e) y -15 = 3/4(x -15)   ⇒   y = 3/4x -11.25 +15 = 3/4x +3.75 (incorrect)

You can see that 3/4x (and y) will be an integer only if x is a multiple of 4. We like integers, so it is convenient to choose x as a multiple of 4.

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Answer:

16.3

Step-by-step explanation:

35.86/2.2

=16.3

The inverse of negative 7 when reciprocled is found to be as - 1/7.

The reciprocal of a number is known as the inverse of that number . The term reciprocal can be defined as,  an expression or function which is related to another in such a manner that their product is unity, which means 1 , the quantity obtained by dividing the number one by a given quantity gives the original number back.

The term inverse means the reciprocal of an operation. Subtraction means to take away, and addition means to obtain the sum. Therefore , we can say that addition is the reverse of subtraction .As a result, addition and subtraction are diametrically opposed operations.

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Answer: The scale factor is a ratio that compares the dimensions of an object to a copy of that object. To find the scale factor from the original picture to the copy, you can divide the length of the copy by the length of the original.

In this case, the length of the original picture is 8 feet and the length of the copy is 1/2 a foot.

So the scale factor is:

1/2 a foot / 8 feet = 1/16

This means that the copy is 1/16 the size of the original. This means that, for each inch or foot on the original, the same length on the copy is 1/16 of that length.

It's also common to express scale factor as a ratio or a fraction of the original, which in this case is 1/16

It's worth mentioning that you could use this same method to find the scale factor for any other dimension of the picture, such as width, height and so on.

Step-by-step explanation:

The system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -

8x + 9y = 117

3x + 8y = 67

Given is that Farmers Lirn and Rew both bought gespils and alabers for their farms. Lirn bought 8 gespils and 9 alabers for $117. Rew bought 3 gespils and 8 alabers for $67.

We can write the system of equations as -

8x + 9y = 117

3x + 8y = 67

Where -

cost of gespils → (x)

cost of alabers → (y).

Therefore, the system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -

8x + 9y = 117

3x + 8y = 67

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Answer:

4

Step-by-step explanation:

[tex](7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3[/tex]

[tex]7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}[/tex]

[tex]7^{7n} = \frac{7^{48}}{7^{20}}[/tex]

[tex]7^{7n} = 7^{28}\\[/tex]

[tex]n = 4[/tex]

Answer:

sum of interior angles is 1980°

Step-by-step explanation:

(n-2)×180° = (13-2)×180°

= 11×180°

= 1980°

Answer:

1980 Degrees

Step-by-step explanation:

By Now You Must Know To Use The Equation:

(n-2)180

The 13 is n so now it is:

(13-2)180

13-2 is 11

So Now It Is

11 x 180

And Now The Answer Is 1980

The number that should be added to the polynomial 2x³ - 3x² - 8x is 12x

When a polynomial is divided by a linear factor, the remainder is equal to the constant term of the polynomial multiplied by the reciprocal of the linear factor.

In this case, the polynomial is 2x³ - 3x² - 8x, and the linear factor is 2x-1.

To find the remainder when this polynomial is divided by 2x-1, we need to multiply the constant term of the polynomial, which is -8, by the reciprocal of 2x-1, which is 1/(2x-1).

So the remainder should be -8*(1/(2x-1)) = -8/(2x-1) = -4/(x-0.5)

To make the remainder 12, we will add 12x to the polynomial so that the new constant term is 12.

The polynomial 2x³ - 3x² - 8x + 12x will have a remainder of 12 when divided by 2x-1.

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Therefore ,In other words  the solution of the given problem of fraction is even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway)

A fractional or ratio element is a portion of the whole. The numerator a denotes the number of parts that are included, and the denominator b denotes the number of pieces of equal size into which the whole has been divided. The least common multiple (LCD) of two fraction denominators is called the LCM of those denominators.

Here,

21/3 = 7    21/6 = 3.5

18/3 = 6   18/6 = 3

24/3 = 8   24/6 = 4

12/3 = 4     12/6 = 2

Each can be split to get an integer, with the exception of:

21/6 = 3.5

Therefore ,In other words, even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway).

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Answer C

Step-by-step explanation:

Answer:x=5

Step-by-step explanation:

f(x) = g(x)

[tex]\frac{1}{2}(3x-1)=7\\\\ \frac{3}{2}x-\frac{1}{2} =7\\\frac{3}{2}x-\frac{1}{2}+\frac{1}{2} =7+\frac{1}{2} \\\\\frac{3}{2}x=\frac{15}{2} \\\frac{3}{2}x*\frac{2}{3} =\frac{15}{2}*\frac{2}{3} \\\\x=5[/tex]

Answer:

3/4

Step-by-step explanation:

18 + 6 = 24

So 18/24 times you would get the blue marble.

simplified would be 3/4

The estimated IQR for the males dataset is 24 , the estimated difference between median value of each dataset is 14.

What is median ?

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It can be regarded as "the middle" value for a set of data.

When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. Depending on whether you have an odd or an even number of data points, there are different processes to take when calculating the median.

In a collection of numbers, the median is the value in the middle. A series of numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest in order to find the median value.

A. IQR  for male dataset

The IQR is calculated as follows:

IQR = Q3 - Q1

      =

For the male's data:

IQR = Q3 - Q1

      = 25 - 1

      = 24

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

median = 20 ----- Male dataset                                                    

median = 6  ----- Female dataset

So, the difference (d) is:

d = 20 - 6

  = 14

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry.

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Let's start by using the provided information to formulate an equation.

Kelly starts with $800 in her savings account, so this is the initial amount. She makes $340 per week, 15% of which is invested into her savings account for 8 weeks, so this information will form a rate. Kelly also withdrew (subtracted) 45 dollars 3 times. Now, let's form the equation.

y=8(.15·340)+800-45(3), where y=remaining balance after 8 weeks. Now, lets simplify the equation using Orders of Operations.

Simplify parenthesis first:

y=8(.15·340)+800-45(3)

y=8(51)+800-45(3)

Complete any multiplication:

y=8(51)+800-45(3)

y=408+800-135

Add and subtract from left to right; addition and subtraction are not separate steps and must be done in the same step, so we work left to right as to whichever comes first:

y=408+800-135

y=1208-135

y=1,073

Remember that y is the remaining balance after 8 weeks. This means that $1,073 dollars is the balance after 8 weeks.

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The account balance at the end of 8 weeks is $1073.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Kelly has a savings account with a beginning balance of $800 and she earns $340 per week.

Therefore, 15% of her weekly earnings for 8 weeks is,

= (15/100)×340×8.

= $408.

Again, She made $45 withdrawals 3 times, which is,

= 3×45.

= $135.

Therefore, The final amount in her account after 8 weeks is,

= $(800 + 408 - 135).

= $1073.

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Answer:c

Step-by-step explanation:

You can ride in many places, so be sure to look for hazards that could cause injury or other risks while bicycling.

The number of miles you can cycle in a single day is unlimited. It depends on your level of fitness, your exercise regimen, and the distance you cycle. Starting out, 10 kilometres per day is OK.

If you're an experienced cyclist who can pedal 25–30 miles every day, 45 miles is a realistic limit.  You can ride a certain bike trail. By riding a bike to work, you can get in shape. If you've never rode a bike before, start out slowly. If you ride your bike for at least three miles every day, you might be able to travel further.

You may be able to make the most of your speed sensor’s accuracy, depending on how accurate it is. You need to know exactly how much effort you put in during your rides.

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Answer:

Yes you are correct

Step-by-step explanation:

If you split them they all are worth zero which is nothing

Answer:

b meter

let me know if this is right

The total weight of the loaves of bread remaining is 1.5 lbs

From the problem it can be deduced that'

There are 3.5 loaves of bread

each weighing 1.5 lbs

Anton's family eats 2.5 loaves of bread

the total weight of the loaves of bread that are left = ?

The loaves of bread that are left

= 3.5 loaves - 2.5 loaves

= 1 loaf

Since 1 loaf weighs  1.5 lbs the weight of the left over bread is 1.5 lbs

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Answer:

3(x-1)+7=11

3x-3-7=11

3x-10=11

3x=11+10

x=21/3

x=7

Step-by-step explanation:

Answer:

[tex]3(x−1) + 7=11[/tex]

[tex]3x−3+ 7=11[/tex]

[tex]3x + 4 = 11[/tex]

[tex]x = \frac{7}{3} [/tex]

Answer: 9

Step-by-step explanation:

Since p is the number of homework problems April has. Since Nancy has 2 more than twice the number of homework problems April has and has 20 homework problems, this can be expressed into an equation as:

(2 × p) + 2 = 20

2p + 2 = 20

2p = 20 - 2

2p = 18

p = 18/2

p = 9

April has 9 homeworks, therefore p is 9.

Answer:

63 points

Step-by-step explanation:

So you are trying to find out how many points you scored on the test when you got 90%,

we could do that by:

--------

70 (The totals points of the test) × 0.9 (The percentage converted into a decimal) = 63

--------

Let's double check,

so you got 63 out of 70, so when we divide 63 by 70, you would get 0.9.

0.9 converted into a percentage is 90%

Have a good day :)

Jamal’s test scores are 84, 88, 92, and 94. Natalia’s test scores are 86, 88, 90, 92. Jamal has a greater test average than Natalia. Natalia has more consistent test scores than Jamal.

To find the test average, you add up all the test scores and divide by the number of test scores.

Jamal's average: (84+88+92+94) / 4 = 89.50

Natalia's average: (86+88+90+92) / 4 = 89

Jamal has a greater test average.

To find the consistency of test scores, you can use the range, which is the difference between the highest and lowest scores.

Jamal's range: 94-84=10

Natalia's range: 92-86 = 6

Natalia has the most consistent test scores, as the range of her scores is smaller than Jamal's.

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The value of the other leg of the right triangle will be 13 units. Then the correct option is C.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A right triangle with hypotenuse 85 and legs 84 and y. Then by the Pythagoras theorem, the value of the variable 'y' is calculated as,

85² = y² + 84²

Simplify the equation, then we have

85² = y² + 84²

7225 = y² + 2056

y² = 7225 - 2056

y² = 169

y = 13

The value of the other leg of the right triangle will be 13 units. Then the correct option is C.

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The needed two values of x are: 59 and -12.

The difference between a sequence's maximum value and minimum value is referred to as the sequence's range.

A sequence's range is just a set that identifies the sequence. The set x1, x2, x3, and so forth is typically used to describe the range; it is also written as xn; n = 1, 2, 3,...

Given sequence of 8 numbers as: 28, 39, 21, x , 33, 38, 2, 45

Given range of above sequence: 57

Since the value x can assume any value, it have option to be minimum value in the sequence or maximum value in the sequence such that  the range remains at 57.

Case 1: x as minimum value of given sequence:

If so, then the maximum value is 45. Then-

range = maximum value - minimum value

57 = 45 - x

x = -12

Case 2: x as maximum value of the given sequence:

If so, then the minimum value of the sequence is 2. Then-

range = maximum value - minimum value

57 = x - 2

x = 59

Thus, the needed two values of x are: 59 and -12.

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Answer:

(6,3).    P

Step-by-step explanation:

 Hello there my friend ;D  

When we are talking about translation, it is really simple. Let me simplify it for you with the formulas. When they are asking you do move left or right, that means the x coordinate will moved (‘a’ will be the units they ask you to move) If they are asking you to move LEFT: (x,y)   —> (x-a, y). If they are asking you to move RIGHT: (x,y) —> (x+a, y).  Now if they are asking you to move up or down, that mean the y-coordinate will move (‘b’ will be the units they ask you to move) If they ask you to move UP: (x,y) —> (x, y+b).  If they ask you to move DOWN: (x,y) —> (x, y-b).   NOW, In our current problem, they are asking what is  B’ coordinate, B was (1,6). B will be translated 5 units LEFT and 3 units DOWN.  Now that I have already explained, (1+5, 6) —-> (6, 6). (Note: ALWAYS do x before y).     Then (6, 6-3) —> (6, 3).    SO, the answer is (6,3).

I HOPE THIS HELPED!! HAVE A GREAT DAY ;D  PLEASE GIVE ME BRAINLIEST!!

Answer:

C' = -10,2

D' = -1,6

E' = -10,2

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the vertical line x = - 1 the y- coordinates remain unchanged.

The points and their images will be the same distance from x = - 1

The original points are to the left and the image points to the right.

C (- 10, - 6 ) is 9 units to the left of x = - 1 , then

C' (- 1 + 9, - 6 ) → C' (8, - 6 ) ← 9 units right

D (- 1, - 6 ) is on the line of reflection and remains unchanged

D (- 1, - 6 ) → D' (- 1, - 6 )

E (- 10, - 2 ) → E' (- 1 + 9, - 6 ) → E' (8, - 2 )

Then

C (- 10, - 6 ) → C' (8, - 6 )

D (- 1, - 6 ) → D' (- 1, - 6 )

E (- 10, - 2 ) → E' (8, - 2 )

On solving the provided question, we can say that - the percentage of the data is 5% = 5/100 = 0.05

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

According to the authors, "the bases will be virtually totally present in their most probable forms. If this is the case, then only adenine and thymine and guanine and cytosine are viable base pairs, and the requirements for creating hydrogen bonds are more stringent (lines 31-35).

Options C and D are erroneous because the table does not support the authors' postulated pairing of nitrogenous bases in DNA molecules.

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