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Misha Larkins [42]
2 years ago
6

PLEASE HELP!! It's due tomorrow.

Mathematics
1 answer:
Delicious77 [7]2 years ago
7 0

Answer:

Step-by-step explanation:

A. Directrix: y = 4-6 = -2

:::::

B. Axis of symmetry: x = 6

Axis of symmetry intersects directrix at (6,-2)

:::::

C . Vertex is halfway between focus and directrix, at (6,1)

:::::

D. The focus lies above the directrix, so the parabola opens upwards.

:::::

E. Focal length p = 1/(4×0.5)

:::::

F. p = 0.5

::::

G. y = 0.5(x-6)² + 1

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<h2>Answer:</h2>

The probability that exactly one customer dines on the first floor is:

                     0.26337  

<h2>Step-by-step explanation:</h2>

We need to use the binomial theorem to find the probability.

The probability of k success in n experiments is given by:

       P(X=k)=n_C_k\cdot p^k\cdot (1-p)^{n-k}

where p is the probability of success.

Here p=1/3

( It represents the probability of choosing first floor)

k=1 ( since only one customer has to chose first floor)

n=6 since there are a total of 6 customers.

This means that:

P(X=1)=6_C_1\times (\dfrac{1}{3})^1\times (1-\dfrac{1}{3})^{6-1}\\\\\\P(X=1)=6\times (\dfrac{1}{3})\times (\dfrac{2}{3})^5\\\\\\P(X=1)=0.26337

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Find g o f if f(x) = 2x - 1 and g(x) = x + 2.
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(g◦f)(x) = g(f(x)) = g(2x -1) = (2x -1) +2

(g◦f)(x) = 2x +1

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Substitute f(x) for the argument in the function g(x) and simplify.

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Ramon needs to simplify the expression below. 3.5x2-04 8.1 + 1.5-4 Which operation should he perform first? 1.5-4 2=0.4 3.5 x 2
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Step-by-step explanation:

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Read 2 more answers
For the given bond, whose interest rate is provided, find the semiannual interest payment and the
Vika [28.1K]

Answer:

The semiannual interest payment is $485.5

The total interest earned over the life of the bond is $10,681

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

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  • r is the interest rate in decimal
  • t is the time in years

∵ The bond is $20,000

∴ P = 20,000

∵ First Income Fund 11-year bond at 4.855%

∴ t = 11

∴ r = 4.855%

- Change it to decimal by divide it by 100

∴ r = 4.855 ÷ 100 = 0.04855

∵ The semiannual interest payment = P × r × half a year

∴ The semiannual interest payment = 20,000 × 0.04855 × \frac{1}{2} (1)

∴ The semiannual interest payment = 485.5

The semiannual interest payment is $485.5

∵ I = Prt

- Substitute the values of P, r and t in the formula

∴ I = 20,000(0.04855)(11)

∴ I = 10,681

The total interest earned over the life of the bond is $10,681

6 0
3 years ago
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