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3 years ago

Question 1 parent functions graph

Mathematics

1 answer:

Bad White [126]3 years ago

6 0

Answer:

c. Square Root

If you want me to explain, let me know!

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1. Your mission is to dilate the rectangle shown below by a scale factor of 3.

jeka94

i need the answer to

4 0

3 years ago

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

3 years ago

Two products when calcium carbonate is heated

erik [133]

Answer:

When heated calcium carbonate forms calcium oxide and carbon dioxide.

7 0

3 years ago

Read 2 more answers

Can somebody please help me with this ?? :)

Neko [114]

The equation is: 3x^3 = 4x + 8

The form is ax^2 + bx + c = 0

Rewrite the given equation to equal 0:

Subtract 3x^2 from both sides to get:-3x^2 + 4x + 8 = 0

Now give each letter their value:

a = -3, b = 4, c = 8

8 0

3 years ago

Find the solutions to the system:

vlada-n [284]

Y = x² - 5x + 2
y = -6x + 4

-6x + 4 = x² - 5x + 2
0 = x² - 5x + 2 + 6x - 4
0 = x² + x - 2

(x + 2)(x - 1)

x = -2 ; x = 1

y = x² - 5x + 2 ; x = -2 y = x² - 5x + 2 ; x = 1
y = (-2)² - 5(-2) + 2 y = 1² - 5(1) + 2
y = 4 + 10 + 2 y = 1 - 5 + 2
y = 16 y = -2

y = -6x + 4 ; x = -2 y = -6x + 4 ; x = 1
y = -6(-2) + 4 y = -6(1) + 4
y = 12 + 4 y = -6 + 4
y = 16 y = -2

Choice C. <span>(-2, 16) and (1, -2) is the answer.</span>

8 0

3 years ago

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