The box plots show the average gas mileage, in miles per gallon, of cars and minivans tested by a certain company.
Cars
+
+
+
+
+
14
16
18
20
22
24
26
28
30
32
34
Minivans
Which correctly compares the interquartile ranges?
The interquartile range for cars is about 12 mpg, and the interquartile range for minivans is about 12 mpg.
The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.
The interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg.
The interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.

Given:

Given that the polygon has 4 sides with its exterior angles.

The exterior angles are 140°, 34°, 56° and x°

We need to determine the value of x.

Value of x:

We know that, the exterior angles of a polygon add up to 360°

Thus, we have;

[tex]140^{\circ}+34^{\circ}+56^{\circ}+x=360^{\circ}[/tex]

Adding the terms, we have;

[tex]230^{\circ}+x=360^{\circ}[/tex]

Subtracting both sides of the equation by 230, we get;

[tex]x=130^{\circ}[/tex]

Thus, the value of x is 130°

Final answer:

The value of the unknown exterior angle x in the quadrilateral is 130 degrees, calculated by subtracting the sum of the given exterior angles from the total sum of 360 degrees.

Explanation:

The student is asking about finding the value of an unknown exterior angle (x) in a quadrilateral. In geometry, the sum of the exterior angles of any polygon always equals 360 degrees. Given that three of the exterior angles are provided as 140 degrees, 34 degrees, and 56 degrees, we can find the value of the unknown exterior angle x degrees by subtracting the sum of these provided angles from 360 degrees.

First, we add the given angles:

140 degrees + 34 degrees + 56 degrees = 230 degrees

Next, we subtract the total from 360 degrees to get the value of x:

360 degrees - 230 degrees = 130 degrees

Therefore, the value of x, the unknown exterior angle of the quadrilateral, is 130 degrees.

Answer:

Step-by-step explanation:

cos(3x)=cos (3x+2π)=cos (3x+360)

period for 3x=360°

period=360/3=120°

Final answer:

The period of the function y = cos(3x) is π/3 or 120 degrees, since the coefficient '3' in the function's argument compresses the usual period of cos(x) by a factor of three.

Explanation:

The period of a trigonometric function represents the length of one complete cycle of the function. For the function y = cos(3x), we are dealing with a cosine function that has been horizontally compressed by a factor of 3. The standard period of the cosine function is 2π radians. However, the presence of the 3 within the argument of the cosine function means that the period is reduced by a factor of 3, because the function completes its cycle 3 times faster than the standard cosine function.

To find the period of the given function, we divide the standard period of the cosine function by the coefficient of the x variable inside the function:

Therefore, the period of y = cos(3x) is π/3 or approximately 120 degrees.

Answer:

see explanation

Step-by-step explanation:

The x- intercept is where the graph crosses the x- axis, that is

( [tex]\frac{1}{3}[/tex], 0 )

The y- intercept is where the graph crosses the y- axis, that is

(0, 1 )

Answer:

has a hemoglobin level between 9 and 11 is 0.284.

Step-by-step explanation:

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition that f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2, then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

Answer:

120 pens and 200 pencils

Step-by-step explanation:

Let the number of pencils bought be x while pens will be y.

Cost

Considering that a pen costs $1 then for y pens, the cost will be y*$1=$y

The pencils cost $0.5 then for x pencils the cost will be $0.5*x=$0.5x

Total cost is $220 hence expressed as

0.5x+y=220

Quantity

Since the number of pencils, x were more than number of pens, y by 80 pieces then

x=80+y

Since we initially had the equation 0.5x+y=220 then we substitute x with 80+y hence

0.5(80+y)+y=220

40+0.5y+y=220

1.5y+40=220

1.5y=220-40=180

y=180/1.5=120

Since x=y+80 and y is found to be 120 then

x=120+80=200

Answer:

0.67

Step-by-step explanation:

2/6 is shaded red, and 4/6 is shaded white. 4/6 is simplified to 2/3, 2/3 as a decimal is 0.67.  

This word problem doesn't make sense. Rephrase then I can solve.  I believe you need units for the 110.  I do not know what the 110 is.

Answer:

28.26

Step-by-step explanation:

3^2*3.14 = 28.26

To find area you square the radius and then multiply by 3.14 or π pi

Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.

To find the area of a circle, we can use the formula:

Area = π (radius)²

Given that the radius is 3 meters, we substitute this value into the formula:

Area = π(3²)

Area = 9π

Since we are asked to round the area to the nearest tenth, we can approximate the value of π as 3.14:

Area ≈ 3.14 x 9

Area ≈ 28.26

Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.

The area of a circle is calculated by multiplying the square of its radius by the mathematical constant π (pi). In this case, with a radius of 3 meters, the area is approximately 28.3 square meters. Rounding the decimal to the nearest tenth gives us the final result of 28.3 square meters.

To learn more about the circle;

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Answer:

b

Step-by-step explanation:

i did jajajajajajaja jajajajjaja

the measure of angle X is [tex]\( 104^\circ \).[/tex]

To calculate the measure of angle X in a kite-shaped scenic overlook, we'll follow these steps:

Write the equation representing the sum of the measures of all the angles in the kite, which is [tex]\( 360^\circ \).[/tex]

Identify the two angles that are equal in the kite, which are angles X and Z.

Write the equation representing the sum of these angles and the given angle measures.

Solve for the measure of angle X.

Now, let's perform the calculation:

Equation representing the sum of the measures of all the angles in the kite:

[tex]\[ \angle X + \angle Y + \angle Z + \angle W = 360^\circ \][/tex]

Identify the two equal angles:

  Since the kite has two pairs of adjacent sides that are equal, the angles opposite these sides will be equal. So, [tex]\( \angle X = \angle Z \).[/tex]

Write the equation representing the sum of these angles and the given angle measures:

[tex]\[ \angle X + 40^\circ + \angle X + 112^\circ = 360^\circ \][/tex]

Solve for the measure of angle X:

[tex]\[ 2\angle X + 152^\circ = 360^\circ \] \[ 2\angle X = 360^\circ - 152^\circ \] \[ 2\angle X = 208^\circ \] \[ \angle X = \frac{208^\circ}{2} \] \[ \angle X = 104^\circ \][/tex]

So, the measure of angle X is [tex]\( 104^\circ \).[/tex]

The complete question is:

A scenic overlook which extends over a ravine is shaped like a kite.

Find mZX

A) 105°

B) 102°

C) 51°

D) 204°

Answer:

Rational Numbers.

Step-by-step explanation:

These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.

Answer:

A. on edge

Step-by-step explanation:

Answer:

A) 3[tex]\sqrt[3]{3}[/tex]

Step-by-step explanation:

Hope this help, I got it right on Edge.

Answer:

about an hour and 42 minutes

Step-by-step explanation:

Time=Distance/Speed

Answer:

1.714285714285714 hours

Step-by-step explanation:

12/7

Answer:

A

Step-by-step explanation:

P = 2 (W+L)

P = 2 (x+9+x-1)

P = 2 (2x+8)

P = 4x+16

The equation P = 4x+16 describes the perimeter, P, of the rectangle in terms of x. The correct answer would be option (A).

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

A rectangle has a length of x + 9 and a width of x - 1.

P = 2 (L + W) ....(i)

Substitute the values of L = x + 9 and W = x-1 in the above equation,

P = 2 (x+9+x-1)

P = 2 (2x+8)

P = 4x+16

Thus, the equation P = 4x+16 describes the perimeter.

Hence, the correct answer would be an option (A).

Learn more about the Perimeter of the rectangle here:

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Final answer:

The equation for finding the value of K when increased by 10 equals 24 is K + 10 = 24, and solving it results in K = 14.

Explanation:

A number K increased by 10" is represented by K+10.

"Is the same as" means equal to.

"24" is represented by 24.

Therefore, we can express this relationship as an equation where the left side represents "a number K increased by 10" and the right side represents "24."

The equation to represent the situation where a number K increased by 10 equals 24 is:

K + 10 = 24

This equation signifies that when the unknown number K is augmented by 10, the resultant value equals 24. It serves as a concise representation of the given condition, enabling the determination of K by solving the equation.

Through such algebraic manipulation, one can discern that the value of  K:

K = 24 - 10 = 14

Answer:

No because even though you aren't actually picking the exact people yo do and don't wanna survey but your only surveying those who buy hot lunches when in order to get accurate data, you have to survey everyone who bought hot and cold lunches from the school cafeteria.

Answer:

8-12n

Step-by-step explanation:

We can name "a number,"  "n."

4(2-3n)

Distribute.

4*2=8

4*-3n=-12n

8-12n

Answer:

I think its A

Step-by-step explanation:

Answered a question like that in my test

Answer:

A) V=2x4x5

Step-by-step explanation:

because im a helping hand

Answer:

23

Step-by-step explanation:

here

9 and 14. are numbers

sum is 9 +14 = 23

The phrases that represent the inequality 12 minus 3x greater-than-or-equal-to 9 are 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve minus the product of three and a number is no smaller than nine.'

The phrases that can be used to represent the inequality 12 minus 3x greater-than-or-equal-to 9 are:

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The phrases 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve less than three times a number is at least nine' correctly represent the inequality 12 minus 3x greater-than-or-equal-to 9.

The inequality 12 minus 3x greater-than-or-equal-to 9 can be represented in two ways among the given phrases. The correct phrases are 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve less than three times a number is at least nine'. In both phrases, 'three times a number' represents '3x', 'twelve less than' represents '12 minus', and 'greater than or equal to nine' or 'at least nine' represents 'greater-than-or-equal-to 9'.

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Answer: -2,-22

Step-by-step explanation:

Answer:

statistical, not statistical, not statistical

Step-by-step explanation:

Answer:

1. statical, 2. not statical, 3. not statical

Step-by-step explanation:

Given:

The interior angles of the triangle are 44°, 3t - 45° and x - 15°

The exterior angle of the triangle is 4t - 29°

We need to determine the value of x.

Value of t:

The value of t can be determined using the exterior angle theorem.

Applying the theorem, we have;

[tex]44+3t - 45=4t-29[/tex]

         [tex]3t - 1=4t-29[/tex]

        [tex]-t - 1=-29[/tex]

              [tex]-t=-28[/tex]

                [tex]t=28[/tex]

Thus, the value of t is 28.

Value of x:

The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.

Since, linear pairs add up to 180°, we have;

[tex]4t-29+x-15=180[/tex]

Substituting t = 28, we get;

[tex]4(28)-29+x-15=180[/tex]

  [tex]112-29+x-15=180[/tex]

                   [tex]x+68=180[/tex]

                           [tex]x=112[/tex]

Thus, the value of x is 112.

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1

Answer:

8.5

Step-by-step explanation:

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1

Your answer is Y= -3.

Answer:

  (x, y) = (14, -3)

Step-by-step explanation:

You are given an expression for x, so it is convenient to use that to substitute for x.

  2(-3y +5) +8y = 4

  -6y +10 +8y = 4 . . . . . eliminate parentheses

  2y = -6 . . . . . . . . . . . . subtract 10, collect terms

  y = -3 . . . . . . . . . . . . . divide by 2

  x = (-3)(-3) +5 = 14 . . . use the second equation to find x

The solution is (x, y) = (14, -3).

Answer:

√25

Step-by-step explanation:

√25 is a perfect square and simplifies to 5.

A rational number is any number that can be expressed as a quotient or fraction of two integers, with the denominator not equal to zero. Among the options, √25 is the only rational number as it equals to 5 which can be expressed as a fraction (5/1). The others are not rational as their square roots are not exact whole numbers.

The question is asking which number among the given options is a rational number. Rational numbers can be any number that can be expressed as a quotient or fraction p/q of two integers, with the denominator q not equal to zero. In this case, we need to find out which of the square root numbers is rational.

The square of √25 is 25, so √25 equals to 5 which is surely a rational number, because it can be expressed as a fraction 5/1. So, the rational number from the given options is √25.

The square roots of the other numbers are not exact whole numbers and therefore aren't rational numbers. For example, √32, √50, and √63 are approximately 5.66, 7.07, and 7.94 respectively, and these cannot be expressed as exact fractions.

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Answer:

3:2 Three boxes next to two boxes.

Step-by-step explanation:

A ratio is like comparing things to others. Like if I had 3 cookies and you had 2 cookies the ratio would be 3:2. Three boxes next to two boxes.