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Lelechka [254]
3 years ago
8

Which statement best describes the equation x5 + x3 – 14 = 0?

Mathematics
2 answers:
damaskus [11]3 years ago
4 0

Answer:

2.The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

Step-by-step explanation:

A quadratic equation is any equation that can be rearranged in standard form as :

ax² + bx + c = 0

Where a, b and c are coefficients and a ≠ 0.

Since for a quadratic equation, the power of x is a non negative integer, it is considered as a polynomial. A quadratic equation is a second-degree polynomial (i.e the gratest power of x is two).

The equation  is not a quadratic equation because it cannot be rewritten as a second-degree polynomial.

MrRissso [65]3 years ago
4 0

Answer:

B). The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle term is 2.

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Determine the length of the hypotenuse in a right triangle with legs 5 inches and 12 inches
Alborosie

In a right angled triangle we can use Pythagoras theorem to determine third side in case two sides are given.

The formula of Pythagoras theorem is given by:

x^{2} +y^{2} =z^{2}

Where x , y and z are sides of triangle , z is hypotenuse.

Now we use this formula to find hypotenuse.

Plugging other two sides which are 5 in. and 12 in.

5^{2} +12^{2} =z^{2}

25 +144 =z^{2}

169 =z^{2}

Taking square root on both sides

square root of 169 is 13

so we have z=13

Hypotenuse is 13 inches.


7 0
3 years ago
marcus rented a movie for $4 and some video games for $6 each. he paid $22 how many games did he rent ? choose two anwers one fo
WINSTONCH [101]
4+6x=22
3 video games
7 0
3 years ago
1. Suppose half of all newborns are girls and half are boys. Hospital A, a large city hospital, records an average of 50 births
kicyunya [14]

Answer:

5%

Step-by-step explanation:

Hospital A (with 50 births a day), because the more births you see, the closer the proportions will be to 0.5.

Hospital B (with 10 births a day), because with fewer births there will be less variability.

The two hospitals are equally likely to record such an event, because the probability of a boy does not depend on the number of births

8 0
3 years ago
Read 2 more answers
he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the a
Eva8 [605]

Answer:

The answer is below

Step-by-step explanation:

The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places.

(a) What is the probability that more than three aircraft arrive within an hour?

(b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals?

(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.1.

Solution:

a) A poisson distribution is given by the formula:

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

λ = 1 hour

Therefore:

P(X > 3) = 1 - P(X < 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(x = 3)]

P(X=0)=\frac{e^{-1}*1^0}{0!}=0.3679

P(X=1)=\frac{e^{-1}*1^1}{1!}=0.3679

P(X=2)=\frac{e^{-1}*1^2}{2!}=0.1839

P(X=3)=\frac{e^{-1}*1^3}{3!}=0.0613

P(X > 3) = 1 - [0.3679+0.3679 + 0.1839 + 0.0613] = 0.019

b) Assuming 30 1 hour intervals, hence:

P(X \leq 3)^{30}=[1-P(X\geq 30)]^{30}=(1-0.019)^{30}=0.5624

c) mean = 1 hour

mean = 1 / λ

1 = 1 / λ

λ = 1

The cumulative distribution function of a continuous variable is:

F(x)=1-e^{-\lambda x}

0.1=1-F(x)\\\\0.1=1-(1-e^{- x})\\\\0.1=e^{- x}\\\\-x=ln(0.1)\\\\-x = -2.3\\\\x=2.3\ hours

4 0
3 years ago
Can someone please help me I really need help please help me
Step2247 [10]

Answer:

60

Step-by-step explanation:

if it went down one more it would be 30

4 0
4 years ago
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