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DanielleElmas [232]
3 years ago
5

Experimental probability and theoretical of spinning an even number?

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

Answer:

explain?

Step-by-step explanation:

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Determine if (-2,6) and (4,12) are solutions to the system of equations:
kykrilka [37]

Answer:

Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

(6) = (-2)+8 = 6

The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

2(6) = (-2)^2+8=4+8=12

The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug (4,12) into y=x+8

(12) = (4)+8 = 12

Step 4: Plug (4,12) into 2y=x^2 + 8

2(12) = (4)^2+8=16+8=24

The solution verifies both equations. Therefore, (4,12) is another solution to this system.

3 0
2 years ago
Fiona made a score of 76 on her midterm exam for her to get a b in the course the average of her midterm exam and final exam mus
qaws [65]

Answer:

84 <= x <= 102

Step-by-step explanation:

Fiona scored 76 on her 1st midterm. Lets call x the score she will get on her 2nd exam.

We know she needs between 80 and 89 inclusive so get a b. So the question is, how much does she need to get on the 2nd test? Or, what values x can take for her to get a b?

The average she gets between both test is the arithmetic mean, this is, the sum of both tests divided by 2:

(76+x)/2

So, she need this value to be between 80 and 89. Lets use inequalities:

80 <= (76+x)/2 <= 89

We can solve it in a similar way we do for equalities. Lets start by multiplying terms in every side by 2, to eliminate the 2 dividing the central term:

2*80 <= 76+x <= 89*2

160 <= 76+x <= 178

Now, lets subtract 76 in every side so we get x alone in the center:

160 - 76 <= x <= 178 - 76

84 <= x <= 102

This is, for getting a b she need her second score to be equal or greater than 84 and less or equal to 102.

Lets verify for some values. For example, if she gets 88:

(76+84)/2 = 160/2 =80---> verifies!

And any value greater than 84 will give her a better score. Lets see what happens with 102"

(76+102)/2 = 178/2 = 89 ---> verifies

Any score greater than 102 will giver here a total sore greater than 89 so it won't be a b.

So, if she scores 102 she will get 89 (the statement does not say the range of scores, it is not usually common that the pass 100, but as the statement does not restrict it we consider here. We the maximum score is 100 we will use 84 <= x <= 100).

3 0
3 years ago
Gerald and his dog Spike get on the scale together. Their combined weight is 128 pounds. If the ratio of Gerald's weight to Spik
Darya [45]
Gerald weighs 96 pounds. Spike weighs 32 pounds.
3 0
3 years ago
Read 2 more answers
Find the value of x. Round to the nearest degree.
jek_recluse [69]

Answer:

x ≈ 53°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Identify</u>

Opposite Leg of <em>x</em> = 12

Adjacent Leg of <em>x</em> = 15

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [tangent]:                    sinx° = 12/15
  2. Trig inverse:                                 x° = sin⁻¹(12/15)
  3. Evaluate:                                       x = 53.1301°
  4. Round:                                          x ≈ 53°
5 0
3 years ago
Read 2 more answers
What is -2 1/4 plus -3/4
Yuliya22 [10]

Answer:

-3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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