6. Higher Order Thinking The manager of a restaurant wants to add two new side dishes to the menu. She surveys customers about side dish preferences and records the results in the table shown at the right. a. Find the experimental probability that a customer prefers either baked potato or asparagus. b. Find the experimental probability that a customer prefers either steamed broccoli or sweet potato.​

Answer:

3 1/5 = 16 / 5

1 1/2 = 3 / 2

16 / 5 * 3 / 2 = 48 / 10 = 24 / 5

The correct answer is 24 / 5 = 4 4 /5

(You can check on your calculator)

Answer:

81 inches

Step-by-step explanation:

I believe this is it…

To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.

The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.

Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

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Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3

Draw a number line and find three equal points

so points:

Answer:

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Step-by-step explanation:

Given information:

Therefore, there are 4 segments of equal distance between points O and P.    

Length of OP = 3 - 0 = 3

⇒ Length of each segment = 3/4

To find the point of Q, R and S, add 3/4 to each point:

   Point O = 0

⇒ Point Q = 0 + 3/4 = 3/4

⇒ Point R = 3/4 + 3/4 = 3/2

⇒ Point S = 3/2 + 3/4 = 9/4

   Point P = 9/4 + 3/4 = 3

Therefore,

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Consider the fraction first ;

[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]

Hence, Option B) is required answer

Answer:

  n(A) = 10

Step-by-step explanation:

The number of elements in the set of even numbers from 2 to 20 is 10.

  n(A) = 10

_____

Additional comment

Dividing the set elements by 2 maps them to the Natural numbers 1 .. 10. This makes them easy to count.

Answer:

y = 5.5 ·x

Step-by-step explanation:

x= pounds purchased

y = cost in $

Given:

4 pounds for $22

x pounds for $ y

Find unit price so will know how much will pay for 1 pound

22/4 = 11/2 = $ 5.5 for 1 pound

Make a general formula :

y = 5.5 ·x

Answer:

A 2.41 > 2.37

Step-by-step explanation:

2.41 is greater than 2.37

Answer:

A

Step-by-step explanation:

others arent true

Answer:

Point [tex]A[/tex] is at [tex](-1/2,\, -2)[/tex].

Step-by-step explanation:

The intersection [tex](x,\, y)[/tex] of two lines in a plane could be found by solving a linear system of two unknowns ([tex]x[/tex] and [tex]y[/tex]) and two equations (one for each line.)

In this question, the equation of the two lines are [tex]y = 4\, x[/tex] and [tex]y = -2[/tex], respectively. The corresponding system of equations would be:

[tex]\left\lbrace \begin{aligned} & y = 4\, x \\ & y = -2\end{aligned} \right.[/tex].

Solve this system for [tex]x[/tex] and [tex]y[/tex]:

Therefore:

[tex]\left\lbrace \begin{aligned} & x = -\frac{1}{2} \\ & y = -2\end{aligned} \right.[/tex].

Thus, the coordinates of this intersection [tex](x,\, y)[/tex] would be [tex](-1/2,\, -2)[/tex].

Step-by-step explanation:

a volume is created (calculated) by multiplying 3 dimensions (e.g. length, width and height).

am area is created by multiplying 2 dimensions (e.g. length and width).

but a scale factor applies only to any length in the model (but then separately for every dimension of the model).

so, when we multiply 2 dimensions, we have to multiply the scale factor with every dimension (2 times) in there too.

and for 3 dimensions 3 times.

so,

1.

the scale factor 1/100 or 0.01 says that every side of the model cube is 1/100 the side length of the real cube.

and so, while the volume of the real cube is

side × side × side = 3,401,244 ft³,

the volume of the model cube is

side × 1/100 × side × 1/100 × side × 1/100 =

= side × side × side × (1/100)³ =

= real volume × 1/1,000,000 =

= 3,401,244 / 1,000,000 = 3.401244 ft³

2.

the scale factor is 3/4.

that means that it applies to length as well as to width of the floor.

so, the area of the first floor is

length × width = 1,260 ft²

and the area of the second floor is then

length × 3/4 × width × 3/4 =

= length × width × (3/4)² =

= area first floor × 9/16 = 1,260 × 9/16 = 708.75 ft²

The deductible is the amount one pays towards the auto insurance

The complete statement is: a lower auto insurance deductible usually means a higher premium

When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible

As a general rule, the more the deductible, the lower the premium; and vice versa.

This means that: a lower auto insurance deductible usually means a higher premium

Hence, the text that completes the statement is premium

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Answer:

Step-by-step explanation:

the answer is correct  so good job ok

Answer:

it would be 12 square feet human

Step-by-step explanation:

9 1/2+2 1/2=12 so 12 square feet

The weight of the package is an illustration of a linear function

The total weight of the package is p = 8200 - T

The given parameter is:

Weight of empty truck = 8200 lb

Represent the total weight of the truck with T, and the weight of the package with p.

So, we have:

T = 8200 + p

Make p the subject

p = 8200 - T

Hence, the total weight of the package is p = 8200 - T

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Answer:

15

Step-by-step explanation:

15 is the answer

If you need solution do let me know in the comments

Answer:

35

Step-by-step explanation:

well, you know the angles of a triangle add up to 180 degrees, and you have the other 2 degrees right there, so all you have to do is add both of the other angles 111+34= 145 and then subtract by 180, 180-145=35 so your answer is 35

Answer:

I think it's D. All rectangles are always parallelogram

Step-by-step explanation:

Please mark me brainliest if correct

Answer:

Fraction answer (about):
1 1/4

Decimal answer (about):
1.24

Step-by-step explanation:

7 2/3 - 6 3/7 =
1.2380952381

1.2380952381 = about 1.24

The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4

Have a great rest of your day
#TheWizzer

Answer:26/21

Step-by-step explanation:

Answer:

Her average speed would be 62 mph.

Step-by-step explanation:

Step 1. Do 186 divided by 3
Step 2. The answer you would get is 62
Step 3. Label to get 62 miles per hour (mph)
I hope that this helps! :)

Step-by-step explanation:

Displacement = 186 miles

Time taken = 3hours

Average speed = ?

Now,

[tex]average \: speed = \frac{total \: distnce}{total \: time \: } \\ = \frac{186}{3} \\ [/tex]

= 62 miles per hour

LETTER B IS THE CORRECT ANSWER

Answer:

L1 = 113°

L4 = 67°

Step-by-step explanation:

L1 + L2 = 180°

L1 = 180° - L2

L1 = 180° - 67°

L1 = 113°

L3 + L4 = 180°

L4 = 180° - L3

L4 = 180° - 113°

L4 = 67°

Proof-

Combination of L1,L2,L3 and L4 should be 360°

113°+67°+113°+67° = 360°

Answer:

Step-by-step explanation:

From the sine of the angle, the other trig function values can be determined:

  cos(B) = √(1 -sin²(B)) = √(1 -(1/√3)²) = √(2/3) = (√6)/3

  tan(B) = sin(B)/cos(B) = (1/√3)/(√2/√3) = 1/√2 = (√2)/2

__

Then the unknown side can be found from ...

  Tan = Opposite/Adjacent

  tan(B) = y/x

  y = x·tan(B) = 8·√2/2 = 4√2 ≈ 5.66

__

And the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(B) = x/z

  z = x/cos(B) = 8/√(2/3) = 8√(3/2) = 4√6 ≈ 9.80

Answer:

  a.  x = 9

  b.  GH = 30; GK = 20

Step-by-step explanation:

An angle bisector in a triangle divides the sides proportionally.

In this triangle, that means ...

  (3x +3)/18 = (3x -7)/12

  2(3x +3) = 3(3x -7) . . . . . . . multiply by 36

  6x +6 = 9x -21 . . . . . . . . . eliminate parentheses

  27 = 3x . . . . . . . . . . . . . . add 21 -6x

  x = 9 . . . . . . . . . . . . . . . divide by 3

__

The segment lengths are found by substituting the value of 3x in each of the given expressions:

  GH = 3x +3 = 27 +3 = 30

  GK = 3x -7 = 27 -7 = 20

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

Probability is the likelihood of occurrance of an event. It is given by:

Probability = number of occurrence / total number of possible occurence

A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.

Probability of using coupon = 32/40 = 0.8

Hence if 750 people go to this store each day, number of people sampled = 75.

Number of people expected to use the coupon = 75 * 0.8 = 60

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

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The surface area of the rectangular prism is 46m²

Surface area of a rectangular prism = 2(width×length + height×length + height×width)

SA = 2(wl + hl + hw)

= 2(2.5×4 + 2×4 + 2×2.5)

= 2(10 + 8 + 5)

= 2(23)

= 46m²

Therefore, the surface area of a rectangular prism is 46m²

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The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2.

Second order polynomials are represented graphically by parabolae and it may have two, one or no x-intercepts. The quantity of x-intercepts can be deducted from the discriminant of the quadratic formula, which is defined below:

For a · x² + b · x + c = 0, the discriminant is defined by:

d = b² - 4 · a · c   (1)

There are three rules to determine the number of possible intercepts:

Then, we have to find a value of b so that (1) has the following form:

b² - 4 · 3 · (-24) = 0

b² - 288 = 0

b = 12√ 2

The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2. [tex]\blacksquare[/tex]

The answer choices do not correspond with the given statement, the phrase "same x-intercepts" may lead to confusion and possible graph cannot be found. A possible corrected statement is shown below:

The graph of g(x) = 3 · x² + b · x - 24 has only one x-intercept. What is the value of b?

To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/10572747

Answer:

Step-by-step explanation:

Answer:

24 cubic inches

Step-by-step explanation:

Volume is side x side x side. You already have done side x side so it is just side x area.

Answer:

Center: (2, -11)

Radius: 10

Step-by-step explanation:

(x - 2)² + (y + 11)² = 100

(x - h)² + (y - k)² = r²

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

x - 2 = 0

  +2   +2

x = 2

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

y + 11 = 0

   -11    -11

y = -11

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

r² = 100

r = √100

r = 10

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

Center: (h, k)

Radius: r

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

Center: (2, -11)

Radius: 10

I hope this helps!

We are given the equation of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Answer :

⠀

Explanation :

We know,

[tex]{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}[/tex]

Where,

⠀

Substituting the values in the formula :

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}[/tex]

⠀

Therefore,