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SSSSS [86.1K]
4 years ago
6

Wht equation describes a parabola that opens up or down and whos vertex is at the point (h,v)

Mathematics
1 answer:
LUCKY_DIMON [66]4 years ago
7 0

Answer:

f(x)=a(x-h)^2+k

Vertex form.

Step-by-step explanation:

You are talking about the vertex form for a parabola.

f(x)=a(x-h)^2+k tells us:

A) The vertex is (h,k).

B) Open up (if a is positive) or open down (if a is negative)

C) a also tells us how much it is vertically stretched or compressed.

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When 4(0.5x+2.5y-0.7-1.3y+4) is simplified, what is the resulting expression?
snow_lady [41]

Answer:

2x + 4.8y  +13.2

Step-by-step explanation:

1. (4)(0.5x+2.5y+−0.7+−1.3y+4)

2. (4)(0.5x)+(4)(2.5y)+(4)(−0.7)+(4)(−1.3y)+(4)(4)

3. 2x+10y−2.8−5.2y+16

4. 2x + 4.8y  +13.2

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Area for a rectangle with two semi circles
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3 years ago
According to insurance records, a car with a certain protection system will be recovered 87% of the time. If 600 stolen cars are
White raven [17]

Answer:

The mean and standard deviation of the number of cars recovered after being stolen is 522 and 8.24 respectively.

Step-by-step explanation:

We are given that according to insurance records, a car with a certain protection system will be recovered 87% of the time.

Also, 600 stolen cars are randomly selected.

Let X = <u><em>Number of cars recovered after being stolen</em></u>

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ;x=01,2,3,......

where, n = number of trials = 600 cars

            r = number of success

            p = probability of success which in our question is the probability

                    that car with a certain protection system will be recovered,

                     i.e. p = 87%.

So, X ~ Binom(n = 600, p = 0.87)

Now, the mean of X, E(X) =  n \times p

                                          =  600 \times 0.87 = 522

Also, the standard deviation of X, S.D.(X)  =  \sqrt{n \times p \times (1-p)}

                                                                     =  \sqrt{600 \times 0.87 \times (1-0.87)}

                                                                     =  8.24

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3 years ago
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