1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Umnica [9.8K]
3 years ago
13

A part manufactured by plastic injection molding has a historical mean of 100 and a historical standard deviation of 8. Find the

value of the mean thickness required to make the probability of exceeding 101 less than 8%.
Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

The probability of thickness exceeding 101 is 0.4483.

Step-by-step explanation:

Let <em>X</em> denote the thickness of the part manufactured by plastic injection molding.

Assume that <em>X</em> follows a normal distribution with mean, <em>μ</em> = 100 and standard deviation, <em>σ</em> = 8.

Compute the probability of thickness exceeding 101 as follows:

P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})

                    =P(Z>0.125)\\\\=1-P(Z

Thus, the probability of thickness exceeding 101 is 0.4483.

You might be interested in
Complete the equation of the line whose y-intercept is (0,-1) and slope is 4​
balandron [24]

Answer:

y=4x-1

Step-by-step explanation:

the lines can be written in their slope intercept form which is y=mx+b

m= slope=4

b=the intercept point=-1

so we have:

y=4x-1

7 0
3 years ago
Which graph represents a function?
professor190 [17]

Answer:

1st and last one

Step-by-step explanation:

the first and the last one are the only ones that represent a function because for each value of x there is only one corresponding value of y.

7 0
3 years ago
Solve the equation q(t)= 4t^2 +5 / t^2 ; t= -x
vaieri [72.5K]

Answer:

q=4t^4+5/t^2x

Step-by-step explanation:Multiply both sides by t^2; Divide both sides by t^2x

 

6 0
3 years ago
What is the quotient of (-3) ^ 0 / (-3) ^ 2
34kurt

Answer: 9

Step-by-step explanation:

Just follow your order of operation

3 0
3 years ago
What is the range of the following function:<br> y = 2(5^x) - 1
Orlov [11]
<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

<h2>Why?</h2>

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

5 0
3 years ago
Other questions:
  • SOMEONE PLEASE HELP! ILL MARK AS BRAINLIEST!
    12·1 answer
  • Find the triangular prisms volume.
    15·2 answers
  • Is 26.22 rational or irrational
    9·1 answer
  • A normal population has a mean of 61 and a standard deviation of 13. You select a random sample of 16. Compute the probability t
    13·1 answer
  • Describe the transformations from triangle MNP to M’N’P’ and then to M”N”P”.
    9·1 answer
  • Last year, there were 217 pies baked for the bake sale. This year, there were d pies baked. Using d, write an expression for the
    11·1 answer
  • Help! Simplify the following expression
    9·1 answer
  • In the first quadrant you start at (8,6) and move 4 units left and 5 units down, What point are you on? NEED ANSWER ASAP
    7·1 answer
  • Can Someone help me please!
    12·2 answers
  • Find the surface area of the square pyramid below if the length of the sides of the base are 10 cm, and the slant height is 15 c
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!