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NemiM [27]
4 years ago
5

Which function has real zeros at x = 3 and x = 7?

Mathematics
2 answers:
Nezavi [6.7K]4 years ago
7 0

Answer:

x² - 10x + 21

Step-by-step explanation:

the 3rd one

(x-3)(x-7)=0

nydimaria [60]4 years ago
4 0

Answer:

C. f(x) = x2 – 10x + 21

Step-by-step explanation:

Just had this on a test

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Find the equation of the line.
ale4655 [162]

Answer:

y= -17x-120.

Step-by-step explanation:

1) according to the condition the lines are parallel. It means the slope of the required line is -17;

2) if to substitute the (-7;-1) into the equation y= -17x+i, then i= -120;

3) the required equation of the line is y= -17x-120.

6 0
2 years ago
Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019),—only direct hits by hurricanes are
alukav5142 [94]

Answer:

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

Step-by-step explanation:

Since we have only the mean during the interval, we can solve this problem using the Poisson probability distribution.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

Poisson probability distribution

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

In this problem, we have that:

Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019). Counting 1851 and 2019, there are 169 years in this interval. This means that \mu = \frac{119}{169} = 0.704

If the probability of hurricane strikes has remained the same since 1851, what is the probability of Florida being struck by four or more hurricanes in the same year?

This is P(X \geq 4).

Either Florida is struck by less than four hurricanes in a given year, or it is struck by 4 or more. The sum of these probabilities is decimal 1.

P(X < 4) + P(X \geq 4) = 1

P(X \geq 4) = 1 - P(X < 4)

In which

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.704}*(0.704)^{0}}{(0)!} = 0.4946

P(X = 1) = \frac{e^{-0.704}*(0.704)^{1}}{(1)!} = 0.3482

P(X = 2) = \frac{e^{-0.704}*(0.704)^{2}}{(2)!} = 0.1226

P(X = 3) = \frac{e^{-0.704}*(0.704)^{3}}{(3)!} = 0.0288

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.4946 + 0.3482 + 0.1226 + 0.0288 = 0.9942

Finally

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.9942 = 0.0058

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

7 0
3 years ago
Find The Slope<br> (-4, 6) and (-2,1)
Anika [276]

Answer:

-5/-6

Step-by-step explanation:

Use the equation rise over run, which is also y2-y1 over x2-x1

in basically every type of thing, x always comes first then y

y2=1 y1=6 x2=-2 x1=-4

1-6/-2-(-4)=-5/-6, because it was changed to, -5/-2+4

3 0
3 years ago
$600 at 5% for 2 years a. $ Find the balance of the account.
irinina [24]
If you multiply 600 by 0.05 by 2 you will get $60.00 as your balance of your account.
5 0
4 years ago
Is the following relation a function? (1 point)<br> 01) Yes<br> 2) No
ikadub [295]

Answer:

yes

Step-by-step explanation:

the line does not overlap

5 0
4 years ago
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