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3 years ago

A coin is tossed 6 times. Find the probability P(of exactly 4 occurrences of heads).

1 answer:

7 0

Let's draw!

H    1 T
HT    2       HT
HTHT 3         HTHT
HTHTHT 4       HTHTHT
HTHTHTHT 5       HTHTHTHT
HTHTHTHTHT 6    HTHTHTHTHT

You can count the probabilities using this.

HHHHTT
HHHTHT
HHTHHT
HHTHTH
HHHTTH
HTHHHT
HTTHHH
HTHTHH
HTHHTH

THHHHT
THHHTH
THHTHH
THTHHH
TTHHHH

Therefore, I think the probability is 14/64. Not sure so check my work.
14 combinations
64 outcomes (2+4+8+16+32+64 or 2^n)

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How does a digit in the ten thousands place compare to a digit in the thousands place

Brilliant_brown [7]

It is 10x the value of the one in the thousands place

8 0

2 years ago

Solve 2x2 + 20x = −38. (1 point)

RoseWind [281]

Answer:

The solutions are $x=-5+\sqrt{6}$ and $x=-5-\sqrt{6}$

Step-by-step explanation:

we have

$2x^{2} +20x=-38$

Divide by $2$ both sides

$x^{2} +10x=-19$ ------> $x^{2} +10x+19=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +10x+19=0$

$a=1\\b=10\\c=19$

substitute

$x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}$

$x=\frac{-10(+/-)\sqrt{100-76}}{2}$

$x=\frac{-10(+/-)\sqrt{24}}{2}$

$x=\frac{-10(+/-)2\sqrt{6}}{2}$

$x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}$

$x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}$

8 0

2 years ago

Read 2 more answers

PLZ CAN SOMEONE ANSWER THIS !!

Cerrena [4.2K]

Answer:

(-4,2)

Step-by-step explanation:

First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.

Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.

Before:

5x + 2y = -16

3x + 7y = 2

After:

15x + 6y = -48 <----------Now we solve for y

-15x + -35y = -10

+----------------------

-29y = -58

-29 -29

y = 2

Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.

3x + 7y = 2

3x + 7(2) = 2

3x + 14 = 2

-14 -14

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

3x = -12

3 3

x = -4

Therefore our final answer is (-4,2)

5 0

2 years ago

PLEASE HELP ME WITH THIS QUESTION. please and thank you

Ahat [919]

Associative property moves the parenthesis

Choice B

6 0

2 years ago

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars

DiKsa [7]

Correct Question:

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?

1. p = 5d

2. d = p + 5

3. d = 5p

Answer:

3. d = 5p

Step-by-step explanation:

As one plate of cookies price is 5 $

The d is expressed as numbers of dollars which are earned.

Earnings = d = 5 x number of plates sold (p)

therefore

d = 5p

5 0

3 years ago