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
Ksju [112]
2 years ago
14

A shipment of racquetballs with a mean diameter of 60 mm and a standard deviation of 0.9 mm is normally distributed. By how many

standard deviations does a ball bearing with a diameter of 58.2 mm differ from the mean?
Mathematics
2 answers:
asambeis [7]2 years ago
8 0
Mean 60 - 2(0.9) = 58.2
58.2 is 2 standard deviations from the mean.
tigry1 [53]2 years ago
8 0

Answer:

By 2 standard deviations a ball does bearing with a diameter of 58.2 mm differ from the mean.

Step-by-step explanation:

It is given that a shipment of racquetballs with a mean diameter of 60 mm and a standard deviation of 0.9 mm is normally distributed.

Mean=60

\text{Standard deviation}=0.9

Absolute difference written diameter of 58.2 mm and average diameter is

|58.2-60|=1.8

Divide the difference by standard deviation (i.e.,0.9), to find the by how many standard deviations does a ball bearing with a diameter of 58.2 mm differ from the mean.

\frac{1.8}{0.9}=2

Therefore 2 standard deviations a ball does bearing with a diameter of 58.2 mm differ from the mean.

You might be interested in
Dionne can fold 175 packing boxes in 50 mìnutes. Elias can fold 120 packing boxes in 40 minutes. How long will it take each pers
Gre4nikov [31]
<h2>Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>Elias will fold 210 packing boxes in "70 mìnutes".</h2>

Step-by-step explanation:

Given,

Dionne can fold 175 packing boxes = 50 mìnute and

Elias can fold 120 packing boxes = 40 minutes

To find, the total time each person to fold 210 packing boxes = ?

∵ Dionne can fold 175 packing boxes = 50 mìnute

∴ In 1 mìnute, Dionne can fold number of packing boxes = \dfrac{175}{50} = 3.5

∴  Dionne can fold 210 packing boxes = \dfrac{210}{3.5} minutes

= 60 minutes

Also,

Elias can fold 120 packing boxes = 40 minutes

∴ In 1 mìnute, Elias can fold number of packing boxes = \dfrac{120}{40} = 3

∴  Elias can fold 210 packing boxes = \dfrac{210}{3} minutes

= 70 minutes

Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and

Elias will fold 210 packing boxes in "70 mìnutes".

8 0
3 years ago
In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. Of the students who have a dog as a pet also have cat as a pet.
Travka [436]

Answer:

This problem is incomplete, we do not know the fraction of the students that have a dog and also have a cat. Suppose we write the problem as:

"In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. X of the students who have a dog as a pet also have cat as a pet. If there are 45 students in her class, how many have both a dog and a cat as pets?"

Where X must be a positive number smaller than one, now we can solve it:

we know that in the class we have 45 students, and 4/5 of those students have dogs, so the number of students that have a dog as a pet is:

N = 45*(4/5) = 36

And we know that X of those 36 students also have a cat, so the number of students that have a dog and a cat is:

M = 36*X

now, we do not have, suppose that the value of X is 1/2 ("1/2 of the students who have a dog also have a cat")

M = 36*(1/2) = 18

So you can replace the value of X in the equation and find the number of students that have a dog and a cat as pets.

5 0
3 years ago
Read 2 more answers
A quantity with an initial value of 9700 grows continuously at a rate of 0.65% per hour. What is the value of the quantity after
Llana [10]

Answer:

.65% / hr = .0065 / hr

2.75 days * 24 hrs / day = 66 hrs

66 hrs * .0065 / hr = .429

So our amount will become

A = A0 ( 1 + .429) = 9700 * 1.429 = 13860

7 0
2 years ago
In triangle ABC, side AB has a length of 8 cm and side BC has a length of 5 cm. If the triangle has an area of 10 square centime
Vesna [10]
Recall the following formula:

Given a triangle with side lengths a, b, and c. Let the measure of the angle between sides of length a and c be B.

Then, the area of the triangle is given by :

                                 Area= \frac{1}{2}\cdot a\cdot c \cdot \sin B.

 In our example we have: Area=10 square cm, a=8 cm, c=5 cm, and we want to find the measure of the angle between the 2 sides a and c.

Substituting in the formula we have:

10= \frac{1}{2}\cdot 8\cdot 5 \cdot \sin B

Thus, 10=20 \sin B, which means \sin B = \frac{1}{2}.

\frac{1}{2} is the sine of 30^{\circ}, but also 150^{\circ}.


Answer: both 30, and 150 degrees are possible
8 0
2 years ago
If a = 2 b=-3 then find the value of 2a - 4b
Vladimir79 [104]

Answer:

16

Step-by-step explanation:

solution,

2a-4b

2*2-4*-3

4-(-12)

4+12

16

6 0
2 years ago
Read 2 more answers
Other questions:
  • Medals please help
    12·1 answer
  • One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost
    5·1 answer
  • X=-4y<br> 3x+2y=20 <br> Substitution
    8·2 answers
  • Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
    11·1 answer
  • Please answer sincerely thank you
    7·1 answer
  • Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.
    12·1 answer
  • Plz its due very soon i need help
    10·1 answer
  • Can someone plz help me with this one problem plz!!
    10·2 answers
  • Complete the arithmetic sequence with its missing terms, then state the rate of change for the sequence.
    6·1 answer
  • Witch expression is equivalent
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!