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babymother [125]
3 years ago
12

. Find the probability that the coin turns up heads for the first time on the tenth, eleventh, or twelfth toss.

Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

0.001709

Step-by-step explanation:

The probability of getting 9 tails then 1 head is:

(½)⁹ (½)¹ = (½)¹⁰

The probability of getting 10 tails then 1 head is:

(½)¹⁰ (½)¹ = (½)¹¹

The probability of getting 11 tails then 1 head is:

(½)¹¹ (½)¹ = (½)¹²

The total probability is:

(½)¹⁰ + (½)¹¹ + (½)¹²

0.001709

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Just do 4x5 then add the zeros
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There are 158 people singed for a pie-making class They will be divided into groups. Each group will have 15. About how many gro
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F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

4 0
3 years ago
Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?
ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

A=P(1+\frac{r}{n})^{n*t}

where A= accrued value (principal plus the accumulated  interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0
3 years ago
Can I get a help please ​
iogann1982 [59]

Answer:

middle graph

Step-by-step explanation:

Soluton

The  second (middle ) graph is the only one that works.

  • First of all when you simplicity the right, you get y = x^2 - 1). That means that x does not go through 0,0. If you put x = 0 into x^ -  1 = 0, you get - 1. So on that basis alone both the first and third graphs are incorrect.
  • Second, both xs in the factors are plus, so x^2 is plus, which means the graph opens upward.

6 0
2 years ago
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