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mestny [16]
3 years ago
15

A psychology test has personality questions numbered 1,2,3, intelligence questions numbered 1,2,3,4, and attitude questions numb

ered 1,2. If a single question is picked at random, what is the probability that the question is an intelligence question OR has an odd number?
Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0

Answer:

7/9.

Step-by-step explanation:

There are a total of 9 questions,

The  odd numbers are 1,1,1,3,3 =  a total of 5 .

Probability (it is an odd number) = 5/9.

Probability (It is an intelligence question of even number) = 2/9.

Required probability = 5/9 + 2/9

= 7/9.

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M=−(4+m)+2 what is m
Alchen [17]

Answer: m=-1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    m-(-(4+m)+2)=0

1.1     Pull out like factors :

  2m + 2  =   2 • (m + 1)

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.2      Solve  :    m+1 = 0  

Subtract  1  from both sides of the equation :  

                     m = -1

5 0
3 years ago
What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
velikii [3]

Answer:

Cross section is a rectangle.

Area of cross section = 16 sqrt(2) = 22.63 sq. units (to 2 decimals)

Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH  ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

justified by the properties of cubes

Diagonals AC and EH are congruent ......................(3)

justified by (1), congruent top and bottom faces  

Consider cross-section ACHE

AC is congruent and parallel to  EH   (1) & (3)

EA & HC are perpendicular to AC      (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2)  ..........pythagoras theorem

AE = CH = DG = 4      properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

4 0
3 years ago
Let X denote the total snowfall in the Twin Cities in December of a given year, measured in centimeters. The five-number summary
Gre4nikov [31]

Answer:

Concept: Caclulating Standard Variables

  1. We have a five number summary which is more than enough information to calculate our mean.
  2. The mean is the sum of all the numbers divided by the nth number of numbers.
  3. Note that we can only find a rough estimation not the EXACT value
  4. We do (min +max + 2(Q1+median+Q3))/8
  5. Now let's plug in our values!
  6. (0+85.3+2(8.4+17.4+30.9))/8
  7. Which gives us option B
  8. Hope this helps, give brainlist

3 0
3 years ago
Item 15
Shtirlitz [24]

Answer:

28

Step-by-step explanation:

4*7= 28

when there is a variable (letter next to the number) next to the number like 4a it means 4 multiplied by a. since a is 7, 4 multiplied by 7 is 28.

8 0
3 years ago
A line passes through the point (0, 2) and has a slope of -1/4 What is the equation of the line?
maw [93]

Answer:

The required equation is x + 4y = 8 !!

Step-by-step explanation:

<em><u>Given</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>pass</em><em>es</em><em> </em><em>t</em><em>hrough</em><em> </em><em>the</em><em> </em><em>point</em><em> </em><em>(</em><em> </em><em>0</em><em> </em><em>,</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>and</em><em> </em><em>the</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>-</em><em>1</em><em>/</em><em>4</em><em> </em><em>)</em><em> </em>

<em>•</em><em> </em><em>Also</em><em>,</em><em> </em><em>to</em><em> </em><em>form</em><em> </em><em>an</em><em> </em><em>eq</em><em>uation</em><em> </em><em>when</em><em> </em><em>a</em><em> </em><em>po</em><em>int</em><em> </em><em>throu</em><em>gh</em><em> </em><em>which</em><em> </em><em>line</em><em> </em><em>passes</em><em> </em><em>and</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>line</em><em> </em><em>is</em><em> </em><em>given</em><em> </em><em>we</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>formula</em><em> </em><em>;</em>

<em>(</em><em> </em><em>y</em><em> </em><em>-</em><em> </em><em>y1</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>m</em><em> </em><em>(</em><em> </em><em>x</em><em> </em><em>-</em><em> </em><em>x1</em><em> </em><em>)</em>

<em>Where</em><em> </em><em>,</em><em> </em><em>y</em><em> </em><em>and</em><em> </em><em>x</em><em> </em><em>are</em><em> </em><em>vari</em><em>ables</em><em> </em>

<em>and</em><em> </em><em>(</em><em> </em><em>x1</em><em> </em><em>,</em><em> </em><em>y1 </em><em>)</em><em> </em><em>are</em><em> </em><em>the</em><em> </em><em>po</em><em>ints</em><em> </em><em>through</em><em> </em><em>which</em><em> </em><em>line </em><em>passes</em><em> </em>

<em>also</em><em>,</em><em> </em><em>m</em><em> </em><em>=</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>re</em><em>quired</em><em> </em><em>line</em><em> </em>

<em>Here</em><em> </em><em>,</em><em> </em><em>x1</em><em> </em><em>=</em><em> </em><em>0</em><em> </em><em>,</em><em> </em><em>y1</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>and</em><em> </em><em>m</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>-1</em><em>/</em><em>4</em><em> </em><em>)</em><em> </em>

<em>[</em><em> </em><em>Ref</em><em>er to</em><em> the</em><em> attached</em><em> file</em><em> for</em><em> </em><em>furth</em><em>er</em><em> </em><em>process</em><em> </em><em>]</em>

3 0
3 years ago
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