At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.)

Answer:

96

Step-by-step explanation:

10 x 8 = 80

2 x 8 = 16

so 80 + 16 = 96 :)

The equivalent value of the equation is A = 96

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 12

Let the second number be q = 8

Now , A = pq

On simplifying the equation , we get

A = 12 x 8

So , the left hand side of the equation is equated to the right hand side by the value of 12 x 8

On multiplying 12 times 8 , we get

A = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

A = 96

Therefore , the value of A = 96

Hence , the expression is A = 96

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Answer:

0.971%

Step-by-step explanation:

A percentage is simply a ratio to a whole.  If we assume 206 tons to be the whole, we can say this:

2 tons / 206 tons  == 0.00971

And the percentage is out of 100 so:

0.00971 * 100  == 0.971 %

Hence, 2 tons is 0.971% of 206 tons.

Cheers.

Answer:

9) 47.1°

10) 23.0°

11) 33.0°

12) 22.0°

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

[tex]Mean = 1.030[/tex]

[tex]Median = 1.009[/tex]

[tex]Difference = 0.141[/tex]

Step-by-step explanation:

Given

Data:

.736, .863,  .865,  .913

.915, .937, .983,  1.007

1.011, 1.064, 1.109, 1.132

1.140, 1.153, 1.253, 1.394

Solving (a): Mean and Median

Mean

Mean is calculated as thus;

Mean = Summation of observation divided by number of observations[tex]Mean = \frac{.736 +.863 +.865 +.913 +.915 +.937 +.983 +1.007 +1.011 +1.064 +1.109 +1.132 +1.140 +1.153 +1.253 +1.394}{16}[/tex]

[tex]Mean = \frac{16.475}{16}[/tex]

[tex]Mean = 1.0296875[/tex]

[tex]Mean = 1.030[/tex] Approximated

Median

Since the number of observation is 16;

[tex]Median = \frac{16 + 1}{2}[/tex]

[tex]Median = \frac{17}{2}[/tex]

Median = 8.5th item

This can be determined by calculating the average of the 8th and 9th item

[tex]Median = \frac{1}{2}(1.007 + 1.011)[/tex]

[tex]Median = \frac{1}{2}(2.018)[/tex]

[tex]Median = 1.009[/tex]

Solving b:

For the median to remain 1.009, the largest sample (1.394) must be greater than or equal to 1.253

Calculating the difference:

[tex]Difference = 1.394 - 1.253[/tex]

[tex]Difference = 0.141[/tex]

Hence, it can be reduced by 0.141

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6.7}}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(4 - 7)}^{2} + {(2 - 8)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 3)}^{2} + { (- 6)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{9 + 36}}} [/tex]

[tex] \dashrightarrow {\sf{ \sqrt{45} }}[/tex]

[tex] \dashrightarrow{ \sf{6.7 \: \: units}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Option B is the correct graph.

Step-by-step explanation:

The slope in the first expression is 2, the graph shows this in option B.

Answer:

160

Step-by-step explanation:

4 times 10 is 40

8 times 15 is 120

add 40 plus 120 and get 160

Step-by-step explanation:

4×10+8×15

=40+120

=$160

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

Answer:

1. you will need 9 buses. 2. the worker earned $76

Step-by-step explanation:

1. 74 8th grader, each bus fits 9 students. 74 divided by 9 = 8.2 repeated, so i rounded up to 9.

2. Worker makes $14 an hour for four hours, then is tipped $20. 14 x 4= 56.

56 + 20 = 76. therefore he mad $76.

Answer:

for the first question i believe it's 8 vans

for the second question it is 76 because if u multiply $14 by 4 hours it gets u 56 meaning that in 4 hours they earned $56, but then the client gave them $20 as a tip so they all earned $76 in total

mark brainliest if u want to

Step-by-step explanation:

2. get the best price for a good

Answer:

4/3

Step-by-step explanation:

12/9 is equivalent to 4/3, because you can divide both the numerator and denominator by the common factor of 3 and that will give you the correct fraction: 4/3.

Hope this helped.

Answer:

80

Step-by-step explanation:

1/10 = 10% = 0.1

0.1 x 8 = 0.8 = 80%

Answer:

ROS=72° TOS=83°

Step-by-step explanation:

(4x-20)+(3x+14)=155

7x-6=155

7x=161

x=23

4(23)-20=72

3(23)+14=83

Answer:

ROS is 72 degrees.

TOS is 83 degrees.

Step-by-step explanation:

So we know that the measure of Angle ROT is 155.

Angle ROT is the combined value of Angle ROS and Angle TOS. In other words:

[tex]ROT=ROS+TOS[/tex]

Substitute 155 for ROT, (4x-20) for ROS, and (3x+14) for TOS. Thus:

[tex]155=(4x-20)+(3x+14)[/tex]

Combine like terms:

[tex]155=(4x+3x)+(-20+14)[/tex]

Add:

[tex]155=7x-6[/tex]

Add 6 to both sides:

[tex]161=7x[/tex]

Divide both sides by 7:

[tex]x=23[/tex]

So, the value of x is 23.

Now, plug that into each of the Angle equations to solve for each angle:

[tex]ROS=4x-20\\ROS=4(23)-20[/tex]

Multiply:

[tex]ROS=92-20[/tex]

Subtract:

[tex]ROS=72[/tex]

Same thing for TOS:

[tex]TOS=3x+14\\TOS=3(23)+14[/tex]

Multiply:

[tex]TOS=69+14[/tex]

Add:

[tex]TOS=83[/tex]

And we're done!

Answer: 750

25 times 3 is 75. Tack on a zero to get 25 times 30 = 750

The two negatives cancel each other out so the result is positive.

Answer:

If you are asking for the last angle, it's 88 degrees.

Step-by-step explanation:

A triangle is 180 degrees. If you have two angles, then you subtract the two angels from 180 to get the last angle. 180 - 92 is 88 so yeah.

Answer:

[tex]J \leq -\frac{1}{J}[/tex]

Step-by-step explanation:

Given

Negative integer J

Required

Write an expression as it is in the question'

First, we need to determine the inverse

[tex]Inverse = -\frac{1}{J}[/tex]

At this point, we have

[tex]Integer = -J[/tex]

[tex]Inverse = -\frac{1}{J}[/tex]

The required relationship between these expression becomes

[tex]J \leq -\frac{1}{J}[/tex]

Answer:

Hey there!

The range of this function is all numbers to three.

Thus, this can be expressed as (-∞, 3]

Let me know if this helps :)

Answer:

y=3x

Step-by-step explanation:

-2*3=-6

-1*3=-3

0*3=0

1*3=3

2*3=6

3*3=9

Answer:

3

Step-by-step explanation:

You can notice that each time, x is multiplied by 3 to give y.

I believe the answer is B: -3/4.

Answer:

23040 minutes.

Step-by-step explanation:

Its 23040 minutes long because there are 60 minutes in an hour, an 24 hours in a day and 60 times 24 is 1440. Then you multiply 1440 by 16 which equals 23040.

Answer:

12

Step-by-step explanation:

Note:

x = -2 ; y = 5

Plug in -2 for x and 5 for y.

3(-2) + 4(5) - 2

Remember to follow PEMDAS. First solve for multiplication, then combine:

3 * -2 = -6

4 * 5 = 20

-6 + 20 - 2

Combine like terms:

20 - 6 - 2 = 12

12 is your value.

~

Answer:

12

Step-by-step explanation:

When answering these types of problems make sure you simplify the expression before substituting

In this case it is not necessasry so substitute x for -2 and y for -5. The expression is now ...

3(-2) + 4(5) - 2

Now just add like term

-6 + 20 -2

12

Answer: B

Step-by-step explanation: Cuz I got a calculator

Hope this helps

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is [tex]0.3\overline{18}[/tex]

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the decimal expansion of 7/22, we need to perform a long division:

  0.3181818...

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

22 | 7.0000000

   6.6

   -----

   3.4

   3.3

   ---

     10

      8

      --

      20

      18

      ---

       20

       18

       --

        200

        198

        ---

          20

          22

          --

          -2

Now,

0.3181818 can be written as [tex]0.3\overline{18}[/tex]

Therefore,

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is 0.3181818...

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Answer: inductive argument.

Step-by-step explanation:

Deductive argument is a logical argument in which a conclusion is made upon the given premises which are assumed to be true.

inductive argument works on the basis of a series of observation and then bring it to frame a certain conclusion.

Here, Flanagans are considering the observation they made by previous children (i.e. they are athletically gifted) and applying the same on the new one by saying "youngest child is bound to be athletically gifted as well.".

So it is of-course an inductive argument.

Hey there! I'm happy to help!

Let's call our fraction x.

x=3.777......

We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.

We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.

10x=37.7777

-

x=3.77777

=

9x=34

We divide both sides by 9.

x=34/9=3 7/9.

Have a wonderful day! :D

Answer:

[tex]\sqrt{75}[/tex]

Step-by-step explanation:

If it was actually square-rooted, it would be 8.660254038, but that is not the simplest form. Therefore, the simplest from of the square root of 75 is the square root of 75 itself, which is [tex]\sqrt{75}[/tex]. Hope this helped!

Answer:

R = 11

C ≈ 69.12

A ≈ 380.13

Step-by-step explanation:

R = d ÷ 2

C = 2πr

A = 2πr²