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3 years ago

If the zeros are 8 and 1/2, what are the factors?

Mathematics

1 answer:

timurjin [86]3 years ago

5 0

Answer:

Step-by-step explanation:

Factors : (x - 8) (x- 1/2) or

(x - 8 ) (2x - 1)

Equation: (x - 8)(2x - 1) = x*2x + x*(-1) -8*2x -8*(-1)

= 2x² -x -16x + 8

=2x² -17x + 8

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out of 248 containers of juice bought 100 are orange juice what fraction of juice was purchased is orange juice

MrRa [10]

100/248 = 50/62 = =25/31

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3 years ago

Lindsey invested $3,250 in a cd that paid compound interest at a rate of 6.5% per year

tresset_1 [31]

The answer to your question is answer choice D

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3 years ago

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

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 combinations 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.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

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

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

The point slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7= -2/5(x-10) what is the standard

Alex787 [66]

Standard form for y+7=-2/5(x-10) is y=-7-2/5(x-10)

3 0

3 years ago

Find the missing value when given the modulus.

kolbaska11 [484]

Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We have been given the expression as

|a – i| = √37 (1)

Which is an expression of complex number. The general expression of complex number is given as

z = x + iy

where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

|z| = |x + iy|

|z| = √[(real part)2 + (imaginary part)2]

|z| = √(x2 + y2)

According to the question, |z| = √37 (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

#SPJ9

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2 years ago