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2 years ago

CWhat is the vertex of the quadratic y = 2(x – 3)2 + 6

Mathematics

1 answer:

RoseWind [281]2 years ago

6 0

Answer:

vertex = (3, 6 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x - 3)² + 6 ← is in vertex form

with vertex = (h, k ) = (3, 6 )

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3 years ago

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3 years ago

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

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$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

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Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

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3 years ago

DeAndre Hopkins caught a 66 yard pass during the game. How many feet was the football thrown?

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2 years ago

Read 2 more answers

So the equation 12 y equals 132 the equation 12 y equals 132

OlgaM077 [116]

12y = 132

Now, solve for y.

Do the inverse operation.

12y = 132
12y/12 = 132/12
y= 132/12
y= 11

Equation: 12y = 132
Y equals: 11

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2 years ago

CWhat is the vertex of the quadratic y = 2(x – 3)2 + 6​

CWhat is the vertex of the quadratic y = 2(x – 3)2 + 6