What is the value of 3 in the following numbers 6.13

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 56 b

nydimaria [60]

Answer:

98.1% chance of being accepted

Step-by-step explanation:

Given:

sample size,n=56

acceptance condition= at most 2 batteries do not meet specifications

shipment size=7000

battery percentage in shipment that do not meet specification= 1%

Applying binomial distribution

In this formula, a is the acceptable number of defectives;

n is the sample size;

p is the fraction of defectives in the population.

Now putting the value

a= 2

n=56

p=0.01

$\frac{56!}{0!\left(56-0\right)!}\left(0.01\right)^0\:\left(1-0.01\right)^{\left(56-0\right)} + \frac{56!}{1!\left(56-1\right)!}\left(0.01\right)^1\:\left(1-0.01\right)^{\left(56-1\right)} +$ $\:\frac{56!}{2!\left(56-2\right)!}\left(0.01\right)^2\:\left(1-0.01\right)^{\left(56-2\right)}$

=0.56960+0.32219+0.08949

After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!

7 0

3 years ago

Brayden, Howard, and Vincent are on the football team. During a game, Brayden gains 1 less than 5 times the average number of ya

Gnoma [55]

Answer: If two pair is parallel then it has no solution.

Step-by-step explanation:

Since we have given that

Let the number of gained yards by each player be y

For the case of Brayden:

Equation will be

$y=5x-1\\\\y-5x=-1$

For the case of Howard :

Equation will be

$y=5x+1\\\\y-5x=1$

For the case of Vincent :

$y=4x+5\\\\y-4x=5$

Since First two equations are parallel so it has no solution.

Reason:

$y-5x=1\\\\y-5x=-1\\\\\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{5}{5}\neq \frac{1}{-1}$

Hence, if two pair is parallel then it has no solution.

8 0

3 years ago

Read 2 more answers

a recipe calls for 6 cups of brown sugar for every 2 cups of white sugar. How many cups of brown sugar is required for every cup

sammy [17]

Answer:

You need 3 cups of brown sugar for every 1 cup of white sugar.

Step-by-step explanation:

To find the smallest amount possible, divide both numbers by the smaller number. So, 6 (the amount of brown sugar) Divided by 2 equals 3, and 2 (the amount of white sugar) Divided by 2 equals 1.

3 0

4 years ago

Which list contains only composite numbers?

kiruha [24]

Answer : D. 6,24,51,72,105

7 0

3 years ago

Read 2 more answers

What is the slope of this graph? −14 4 14 −4 Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes

spin [16.1K]

The slope of this graph is - 4

Step-by-step explanation: