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Artyom0805 [142]
3 years ago
7

An executive committee consists of 13 members: 5 men & 8 women. 3 members are selected at random to attend a meeting in Hawa

ii. The names are drawn from a hat. What’s the probability that all 3 men will be selected?
Mathematics
1 answer:
Sever21 [200]3 years ago
3 0

Answer:

5 men 8m women 3members

Step-by-step explanation hope this helps

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What is the solution for the following equation? 3(a-7)=14-4a​
prohojiy [21]

Answer:

a= 5

Step-by-step explanation:

3 (a-7)= 14-4a -Remove Parentheses

3a-21=14-4a -Move the terms

3a+4a=14+21 -Collect like terms

7a=35 -Divide both sides

a=5 - Solution

5 0
2 years ago
The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.
ElenaW [278]

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE   (0.1x - 22)

The measure of angle CBE (0.3x - 54)

<u>Step 1</u>

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

<u> Step 2</u>

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

<u>Step 3</u>

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

<u>Step 4</u>

<u>Answer :</u> The value of x is 415

8 0
3 years ago
A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5
Sunny_sXe [5.5K]

Answer:

\frac{27}{8}m^3 or 3.375m^3

Step-by-step explanation:

The formula for volume is Base * Height * Width; and the formula for area is Base * Height.

This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.

13.5 m/6 = 2.25 or \frac{9}{4} m per wall

With the area of each wall you can find the base and height:

base * height =  area

b=\sqrt{\frac{9}{4} } = \frac{3}{2}

base = \frac{3}{2}m

height = \frac{3}{2}m

since: base=height=width, the width also equals \frac{3}{2}m

volume = (\frac{3}{2})^3= \frac{27}{8}

sorry it took so long for you to get an answer

8 0
3 years ago
State whether the following statements are true or false, and explain your reasoning.
Masja [62]

Answer:

Step-by-step explanation:

a) A square is a rectangle.   True

Reason: Property of Rectangle: (i) Opposite sides are equal and parallel. (ii) Each angle is 90 (iii) Diagonals are equal and bisect each other.

A square hold all these properties. A square is  a rectangle.

b) A polygon with 21 sides has 432 possible diagonals. False

Reason: Number of diagonals of a polygon = \frac{n(n-3)}{2}

n --> number of sides of a polygon.

= \frac{21*18}{2} = 189 diagonals

c) All three angles in an Isosceles triangle are equal. False

Reason: In an isosceles triangle, two angles are equal.

If three angles are equal, then that is an equilateral triangle.

d) The measures of the exterior angles of a nonagon, a nine-sided figure, have a sum of 360°. True.

Reason: The sum of measures of the exterior angles  of any polygon is 360

6 0
2 years ago
Read 2 more answers
To the nearest tenth, which is the BEST estimate for the volume of the given pyramid?
mixer [17]

Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

5 0
2 years ago
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