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3 years ago

8

A fair coin is flipped three times. Find the probability of getting heads all three times.

1 answer:

sattari [20]3 years ago

5 0

Answer:

13/100, or 0.13%.

Step-by-step explanation:

You have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. You flip it three times and these flips are independent. What is the probability that it lands heads up all three times, 0.13.

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Draw a number line that shows the distance between 3 and -2 is 5

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3 years ago

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A submarine is located 25 meters below sea level it goes up 7 meters then goes down 38 meters wrote plan integer to represent th

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3 years ago

Solve for X: 5x + 15 = 28

rjkz [21]

-15 both sides and then it’s will be
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2 years ago

How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

3 0

2 years ago

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Solve the two-step equation.<br><br> 14 = 31.7 – 3x<br><br> What is the solution?

shtirl [24]

Answer:

The answer is 5.9

Step-by-step explanation:

1) Subtract 31.7 from both sides.

$14 - 31.7 = - 3x$

2) Simplify 14 - 31.7 to -17.7

$- 17.7 = - 3x$

3) Divide both sides by -3.

$\frac{ - 17.7}{ - 3} = x$

4) Simplify -17.7/-3 to 5.9

$5.9 = x$

5) Switch sides.

$x = 5.9$

Therefor, the answer is x = 5.9.

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2 years ago