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3 years ago

What is the experimental probability that both coins land on the same side on Isidro’s next toss

Mathematics

1 answer:

Musya8 [376]3 years ago

3 0

Answer:

1/2, or 0.5

Step-by-step explanation:

There are 4 ways that 2 coins can fall...

Both heads (this satisfies our situation)

1st coin heads, 2nd coin tails

1st coin tails, 2nd coin heads

Both tails (this satisfies our situation)

We have 2 out of 4 ways to satisfy this situation, so our experimental probability is

P = 2/4 which reduces to

P = 1/2 , or 0.5 as a decimal

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Given quadratic equation:

$5x^2-6x-2=0$

Define the variables:

a = 5
b = -6
c = -2

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given quadratic equation are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

3 0

1 year ago

Read 2 more answers

What is the term, coefficient, constant, and factor of 1/2(base1 + base2)h? (Formula used to find area of trapezoid)

vovangra [49]

Answer:

i. Term = $\frac{b_{1}h }{2}$ + $\frac{b_{2}h }{2}$

ii. Coefficient = $\frac{1}{2}$

iii. Constant = $\frac{1}{2}$

iv. Factor = $\frac{h}{2}$

Step-by-step explanation:

A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;

Area of trapezium = $\frac{1}{2}$ ( $b_{1}$ + $b_{2}$ )h

Where $b_{1}$ is the measure of length of its fist base, $b_{2}$ is the measure of its second base and h is its height.

Considering the given question,

Term = $\frac{b_{1}h }{2}$ + $\frac{b_{2}h }{2}$

Coefficient = $\frac{1}{2}$

Constant = $\frac{1}{2}$

Factor = $\frac{h}{2}$

6 0

2 years ago

1. Which expression is equal to 815-97?

lara [203]

Answer:

the answer is C.815+(-97)

Step-by-step explanation:

5 0

2 years ago

What's the length of side b in the

Grace [21]

Answer:

its c 120 centimeters

7 0

2 years ago

How do I solve this?

s344n2d4d5 [400]

Answer:

Try using estimation.

Make sure you don't start with the y-axis first.

I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.

Step-by-step explanation:

Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.

6 0

2 years ago