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1 year ago

Which value is not part of the five-number summary for the following data set?

Mathematics

1 answer:

valentina_108 [34]1 year ago

7 0

Answer:

D. 24

Step-by-step explanation:

The 5-number summary of a data set includes ...

minimum
1st quartile
median (2nd quartile)
3rd quartile
maximum

<h3>Summary values</h3>

When the data are written in increasing order, they are ...

23 23 24 27 27 28 30 30 30 33 34 35

The minimum is the first value on the list, 23.

The first quartile is the average of the two middle values in the lower half of the data set: (24+27)/2 = 25.5.

The median is the average of the two middle values: (28+30)/2 = 29.

The third quartile is the average of the two middle values in the upper half of the data set: (30+33)/2 = 31.5.

The maximum is the last value on the list: 35.

<h3>Answer choices</h3>

A. 29 is the median

B. 23 is the minimum

C. 31.5 is the 3rd quartile

D. 24 is not part of the 5-number summary

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The radius of circle A is three feet less than twice the diameter of circle B. If the sun mmm of the diameters of both circles i

yanalaym [24]

Answer:

Area of Circle A = 1133.54

Circumference of Circle A= 119.32

Step-by-step explanation:

Given: Sum of both circle diameters= 49 feet.

Circle A radius= Three feet less than twice the diameter of circle B.

Lets assume diameter of Circle B is "x"

∴ Circle A radius (r)= $(2x-3)$

We know, the diameter of circle is $2r$

Diameter of Circle A is $2\times (2x-3)$

Next as given sum of both circle diameter is 49 feet.

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distributing 2 with 2x and -3

⇒ $4x-6+x= 49$

⇒ $5x-6= 49$

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⇒ $5x=55$

Cross multiplying both side.

⇒ $x=\frac{55}{5} = 11$

∴ Diameter of circle B is 11 feet.

Next, subtituting the value of x to get the value of radius for Circle A.

Radius of circle A= $(2x-3)$

⇒ Radius of circle A= $(2\times 11-3)= 22-3$

∴ Radius of circle A= 19 feet.

Area of circle= $\pi r^{2}$

Taking π= 3.14

Area of circle A= $3.14\times 19^{2} = 3.14\times 361$

∴ Area of circle A= 1133.54

Circumference of circle= 2πr

Circumference of Circle A= $2\times 3.14\times 19= 119.32$

∴ Circumference of Circle A= 119.32

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Solve for w.<br> 8(w+2) = 40

AleksAgata [21]

Answer:

w = 3

Step-by-step explanation:

8 • (w + 2) - 40 = 0

Pulling out like terms :

3.1 Pull out like factors :

8w - 24 = 8 • (w - 3)

Equation at the end of step 3 :

8 • (w - 3) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 8 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : w-3 = 0

Add 3 to both sides of the equation :

w = 3

One solution was found :

w = 3

Processing ends successfully

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