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STALIN [3.7K]
1 year ago
11

Question 9 20% of a particular brand of light bulbs fail in one year. What is the probability that three bulbs out of a random c

ollection of 8 bulbs fail in one year
Mathematics
1 answer:
Delvig [45]1 year ago
5 0

Answer:

The correct answer is 0.15

Step-by-step explanation:

According to the given scenario, the probability is as follows:

X\sim Bin (n,p)

Here

n = 8

p = 0.20 or 20%

Now this is a binomial probability distribution

P(X) = ^nC_x \times p^x \tmes (1 - p)^{n-x}\\\\P(3) = ^8C_3 \tims 0.20^3 \times (1 - 0.20)^5

= 0.15

Hence, the correct answer is 0.15

You might be interested in
Given: m EH =85°, m∠EYV=35°. Find: m EV .
avanturin [10]

Answer:

  155°

Step-by-step explanation:

∠EYV is half the difference of arcs EV and EH

  (1/2)(EV -EH) = ∠EYV

  (1/2)(EV -85°) = 35° . . . . fill in the given values

  EV -85° = 70° . . . . . . . . .multiply by 2

  EV = 155° . . . . . . . . . . . . add 85°

5 0
2 years ago
One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the
Georgia [21]

Answer:

Option (D)

Step-by-step explanation:

Given polynomial is,

2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 |  2     -3       -3       2    

 

    <u>         4         2      -2          </u>

     2      1         -1        0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

                           = 2x(x + 1) -1(x + 1)

                           = (2x - 1)(x + 1)

Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

Option (D) will be the answer.

4 0
2 years ago
A new curing process developed for a certain type of cement results in a mean compressive strength of 5000 kilograms per square
Sedbober [7]

Answer:

\alpha =0.0668

Step-by-step explanation:

Data given and notation  

The info given by the problem is:

n=25 the random sample taken

\mu =5000 represent the population mean

\sigma =100 represent the population standard deviation

The critical region on this case is \bar X so then if the value of \bar X \geq 4970 we fail to reject the null hypothesis. In other case we reject the null hypothesis

Null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the true mean is 5000, the system of hypothesis would be:  

Null hypothesis:\mu = 5000  

Alternative hypothesis:\mu \neq 5000  

Let's define the random variable X ="The compressive strength".

We know from the Central Limit Theorem that the distribution for the sample mean is given by:

\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})

Find the probability of committing a type I error when H0 is true.

The definition for type of error I is reject the null hypothesis when actually is true, and is defined as \alpha the significance level.

So we can define \alpha like this:

\alpha= P(Error I)= P(\bar X

And in order to find this probability we can use the Z score given by this formula:

Z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And the value for the probability of error I is givn by:

\alpha= P(\bar X

4 0
2 years ago
M&lt;2=34 find m&lt;4 and explain how you know
Naily [24]

Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent

6 0
2 years ago
A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and
andreev551 [17]

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

7 0
1 year ago
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