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2 years ago

12

G(t) = (t – 10)(t + 1)

1 answer:

IceJOKER [234]2 years ago

8 0

Write properties of function:

x intercept/zero: t₁ = -1, multiplicity 1; t₂ = 10 , multiplicity 1

vertex form: g (t) = (t - 9/2)² - 121/4

vertex: (9/2, -121/4)

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An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much

LiRa [457]

Answer:

$V=45396.2\ cm^3$

Step-by-step explanation:

Given that,

The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.

The tank is filled to 80% capacity with water.

We need to find the water needed for this tank.

The volume of cuboid is given by :

$V=lbh$

As it is filled to 80% capacity, so,

$V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3$

So, $45396.2\ cm^3$ of water is needed for this tank.

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3 years ago

In order to make money on lones, financial institutions are paid back more than they loan. suppose borrow $350,000 to buy a hous

Korolek [52]

1500.56 x 12 = 18006.72 per year

18006.72 x 30 = 540201.60

540201.60-350000 = 190201.60

5 0

4 years ago

Mary read a book that had 4200 pages last summer. If it took her 35 days to finish the book. How many pages did she read per day

asambeis [7]

Do 4200/35............

5 0

3 years ago

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

6 0

3 years ago

Your teacher buys a 5 pound bad of Smarties, for $12.50. What is the unit rate for Smarties.

Taya2010 [7]

So 5 pounds=12.5
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4 0

3 years ago

Read 2 more answers