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3 years ago

12

The point (3,2) reflected in the x-axis is (

1 answer:

ioda3 years ago

8 0

Answer:

reflected across the x-axis is 3,-2 and the y axis is -3,2

Step-by-step explanation:

When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead

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Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

jeka94

Answer:

Step-by-step explanation:

From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .

So; as each place is fitted with either 0 or 1

$\mathbf{|R|= 2^{10}}$

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

$\mathbf{P(E) = \dfrac{|E|}{|R|}}$

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

$\mathbf{{|E|}=1 }$ ; $\mathbf{|R|= 2^{10}}$

$\mathbf{P(E) = \dfrac{1}{2^{10}}}$

4 0

3 years ago

Why is a right equilateral triangle impossible?

Tom [10]

Because in an equilateral triangle all angles should measure 60 degrees otherwise all sides would not be equal.

5 0

3 years ago

What is the value of x?

tigry1 [53]

Check the picture below.

3 0

3 years ago

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

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

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

$P = P_{0} e^{kt}$ <em>need to solve for P₀</em>

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

$P = P_{0} e^{kt}$ <em>need to solve for P₀</em>

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

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

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

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

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 <em>log rules say division is subtraction</em>

0 = ln 1

5 0

3 years ago

A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?

Deffense [45]

I'm guessing there are 12 lions since half of twelve is 6 and there is only 2 male lions. I would put down 12. Hope that helps!

8 0

3 years ago

Read 2 more answers