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
andreev551 [17]
3 years ago
5

Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the

factory line follows a normal distribution with mean 18mm and standard deviation 0.1mm. The diameters of the holes in the nuts follow a normal distribution with mean 18.7mm and standard deviation of 0.08mm. Assume that in order for a nut and bolt to fit together the diameter of the hole in the nut has to be between .5 and .9 mm larger than the bolt. Find the z score for bolt of 18.12 mm.
Mathematics
1 answer:
Reil [10]3 years ago
5 0

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

Z\sim N(0, 1)

The formula to compute the <em>z</em>-score is:

z=\frac{x-\mu}{\sigma}

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

You might be interested in
A triangle has two sides that measure
mr_godi [17]

Answer:

D,12cm

Step-by-step explanation:

100 percent/TRUST

3 0
3 years ago
Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.
wolverine [178]

Answer:

t_7 =\frac{5}{729}

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) =\frac{1}{3}

The nth term of a geometric sequence is given as:

t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}

8 0
3 years ago
Which number line best represents the solutions to 7 &lt; -2x + 3?
Natasha2012 [34]

Answer:

B or D

Step-by-step explanation:

5 0
2 years ago
Assignment The operation teeter is defined on the set T= { 2, 3, 5, 7 } by x teeter y=[x+y+xy) mod.8 a - Construct mod.8 table f
rosijanka [135]

Answer:

Case A) tau_net = -243.36 N m, case B)    tau_net = 783.36 N / m,      tau_net = -63.36 N m,  case C)  tau _net = - 963.36 N m,

Explanation:

For this exercise we use Newton's relation for rotation

        Σ τ  = I α

In this exercise the mass of the child is m = 28.8, assuming x = 1.5 m, the force applied by the man is F = 180N

we will assume that the counterclockwise turns are positive.

case a

        tau_net = m g x - F x2

         tau_nett = -28.8 9.8 1.5 + 180 1

        tau_net = -243.36 N m

in this case the man's force is downward and the system rotates clockwise

case b

2 force clockwise, the direction of

the force is up

         tau_nett = -28.8 9.8 1.5 - 180 2

         tau_net = 783.36 N / m

in case the force is applied upwards

3) counterclockwise

       tau_nett = -28.8 9.8 1.5 + 180 2

        tau_net = -63.36 N m

system rotates clockwise

case c

2 schedule

tau_nett = -28.8 9.8 1.5 - 180 3

tau _net = - 963.36 N m

3 counterclockwise

      tau_nett = -28.8 9.8 1.5 + 180 3

      tau_net = 116.64 Nm

the sitam rotated counterclockwise

<h3><u><em>Cr: moya1316</em></u></h3>
4 0
1 year ago
WILL GIVE BRAINLEIST SUPER EASY NEED TO TURN IN BY 9:45 PLS HURRY.
ki77a [65]

Answer:

144 cookies

Step-by-step explanation:

Since the 3 dozen cookies she baked was 1/4th the amount in total, all you have to do to find the total amount is multiply the fraction of the cookies 3 dozen (36) by 4.

36×4 = 144 cookies in total

6 0
3 years ago
Other questions:
  • Kelli intends to cut a piece of ribbon 10 yards long into several pieces, each yard long. How many full pieces can she cut?
    9·2 answers
  • 1/2t + 25; -10 PLEASE HELP
    5·1 answer
  • 5 students sharing 4 bags of popcorn equally
    5·2 answers
  • What is the volume of the cube?
    8·1 answer
  • Angle x and y are complementary angles . angle y measure 37 plzz help asap
    9·2 answers
  • You rent an apartment that costs $1000 per month during the first year, but the rent is set to go up $160 per year. What would b
    11·1 answer
  • PLEASE HELP I GIVE THANKS
    13·1 answer
  • The Hernandez family's pool holds 2.715,69 gallons of water. An Olympic-size swimming pool holds
    5·1 answer
  • Ayoo if dia makes any sense plz help u needa find the domain an range of #1 #2 an #3.. Just unit 10........
    6·1 answer
  • What is the density of 9 cm³ gold cube with 450 g in a mass?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!