What is the experimental probability of rolling the number 5? Round to the nearest tenth

According to the rational root theorem which answer is not a possible rational root of 4x3

tensa zangetsu [6.8K]

5 and 1/5 are not possible rational roots of 4x3.

5 0

3 years ago

Solve this please. Tell me an accurate answer for this word problem?

WARRIOR [948]

Answer:

81.8 kg

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The lifetime of a mechanical assembly in a vibration test is exponentially distributed with a mean of 500 hours. If an assembly

skelet666 [1.2K]

Answer:

A) probability of failure in next 100 hours given that it has been tested for 500 hours without failure is 0.181

B) probability that exactly two have the metabolic defect is 0.03

Step-by-step explanation:

Part A)

Let X be a exponentially random variable with mean = μ = 500 hrs

For exponential distribution:

$p.d.f = f(x) = \lambda e^{-\lambda x}\\c.d.f = F(x) = 1 - e^{-\lambda x}\\x\geq 0$

λ = 1/μ

λ = 0.002

We have to find the probability of failure in the next 100 hours given that assembly has been tested for 500 hours without a failure.

Using memory less property of exponential distribution:

$P(X500) = P (X$

using

$F(x) = 1 - e^{-\lambda x}\\ \lambda =.002\\x=100\\F(x) = 1- e^{-(.002)(100)}\\F(x) = 1-.8187\\F(x) = 0.181$

Chances of occurrence of metabolic defect = 5%

P(C) = .05

No. of randomly selected infants = n =6

We have to find the probability that exactly two have the metabolic defect

⇒x = 2

Using binomial probability density function:

P = $P=\left[\begin{array}{ccc}n\\x\end{array}\right] p^{x} (1-p) ^{n-x}\\\\=\frac{n!}{x!(n-x)!} p^{x} (1-p) ^{n-x}\\=\frac{6!}{2!4!}(.05)^{2}(.95)^{4}\\= 0.03\\$

probability that exactly two have the metabolic defect is 0.03

7 0

4 years ago

Find the measure of all the angle b’s pls. pretty pretty please. if you do all four ily. #desperate.

Nesterboy [21]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

$90=b+65\\b= 25$

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

$180=80+b\\b=100$