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drek231 [11]
4 years ago
12

Could someone find x?

Mathematics
1 answer:
Naya [18.7K]4 years ago
4 0

Answer:

1 < X < 5

Step-by-step explanation:

Given 1 is less than X.

This can be written mathematically as:

                                           1 < X         ....(1)

Now, X is less than 5.

⇒                                        X < 5        .....(2)

Combining (1) and (2), we get:

                                         1 < X < 5

Note that, this means X could be any of {2, 3, 4, 5}.

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Gina spins a penny 100 times and it lands head side up 38 times. Explain why Gina's experimental probability may be different fr
Advocard [28]

Answer:

Step-by-step explanation:

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Experimental: 38 times occurred/ 100 trials = 38/100 = 38%

Theoretical: 1/2 chance a coin lands on heads, 1/2 chance a coin lands on tails. 1/2 = 50%

Onne depends on chance, and one on facts, they are different.

Experimental Probability can vary for flipping a coin

Theoretical Probability will always be 50%

Hope this info helps with your explanation. =)

Tell me if you need more help

7 0
3 years ago
Consider the system of equations, y = f(x) and y= g(x), where
NARA [144]

Answer:

  (x, y) = (3, 26)

Step-by-step explanation:

I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.

  (x, y) = (3, 26)

__

As an alternative, here, the equations can be subtracted.

  y = f(x)

  y = g(x)

  0 = f(x) - g(x)  . . . .  subtract the second equation from the first

  0 = 11x -7 -(3x +17)

  0 = 8x -24 . . . . simplify

  0 = x -3 . . . . . . .divide by 8

  3 = x

Now, we can substitute into either equation:

  y = g(x) = 3(3) +17 = 26

The solution is (x, y) = (3, 26).

8 0
3 years ago
What’s the area of a triangular pyramid
Masja [62]

Answer:

a=bh/2

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Solve each problem and show the work for each one.
Cerrena [4.2K]

Answer:

Solve by factoring.

1. 2x^2+9x+26=-4x+5

2x²+9x+4x+26-5=0

2x²+13x+21=0

doing middle term factorization

2x²+7x+6x+21=0

x(2x+7)+3(2x+7)=0

<u>(</u><u>2</u><u>x</u><u>+</u><u>7</u><u>)</u><u>(</u><u>x</u><u>+</u><u>3</u><u>)</u><u>=</u><u>0</u>

<u>either</u>

<u>x</u><u>=</u><u>-</u><u>7</u><u>/</u><u>2</u>

<u>or</u>

<u>x</u><u>=</u><u>-</u><u>3</u><u>.</u>

2.

3x^2-6x-4=0

comparing above equation with ax²+bx+c=0

we get

a=3

b=-6

c=-4

By using quadratic equation

x=\frac{ - b±\sqrt{ {b}^{2} - 4ac } }{2a}

Substituting value

x=\frac{ 6±\sqrt{ {-6}^{2} - 4*3*-4 }}{2*-4}

x=\frac{ 6±\sqrt{ {84}}}{-8}

x=\frac{ 6±2\sqrt{ {21}}}{-8}

-8x=6±2√21

taking positive

-8x=6+2√21

x=\frac{6+2√21}{-8}

x=-\frac{3+√21}{4}

taking negative

-8x=6-2√21

x=\frac{6-2√21}{-8}

x=-\frac{3-√21}{4}

8 0
3 years ago
Charles went to a restaurant for dinner and paid a tip of 15% on the total bill amount. He then had an ice cream that cost $13 l
uysha [10]

Answer:

B. $26.05

Step-by-step explanation:

Since this was a multiple choice question, I used process of elimination. I got rid of A because $13.95 - the ice cream ($13) would be no where near $43. For B, i did ($26.05) + ($26.05 - $13) which equals $39.10 and then i did ($39.10 + ($26.06 x 0.15) and that gave me $43 in all.

4 0
4 years ago
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