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
Goryan [66]
2 years ago
5

Ronnie is using 71 Legos to make a model of a castle. The castle is in the shape of a rectangle and is one cube high. How many d

ifferent ways can he make the model of a castle
Mathematics
2 answers:
ruslelena [56]2 years ago
7 0
<span>The model of the castle can only be made 2 diferent ways. one way is 71 cubes high and 1 cube wide and the other way is 71 cubes wide and 1 cube high.

71 is a prime number and it's only factors are 1 and 71.</span>
IrinaK [193]2 years ago
4 0
I think 71 and 1 because 71 is a prime number and it's only factors are 71 and 1
You might be interested in
A drop of oil measuring 0.23 cubic centimeters is spilled into a lake. The oil spread out into a circular shape having a diamete
Kaylis [27]
To determine the thickness of the film, we assume the shape of the film is in a form of cylinder where the thickness is equal to the height. The volume of a cylinder is expressed as:

V = pi (r^2) h

We calculate as follows:

0.23 = pi (10^2) (h)
h = 0.0007 cm
7 0
3 years ago
1 2.2.5 Quiz: Solving Problems by Dividing Fractions
HACTEHA [7]
2 hours at most shordy
7 0
3 years ago
A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the a
photoshop1234 [79]
X=hours master worked
y=hours apprentice worked


62x+40y=492

if master worked 3hours more than apprntice
x=3+y

sub 3+y for x

62(3+y)+40y=492
expand
186+62y+49y=492
186+102y=492
minus 186 both sides
102y=306
divide both sides by 102
y=3

sub back
x=3+y
x=3+3
x=6

master electrician worked 6 hours
6*62=372

master electrician earned $372
7 0
2 years ago
Read 2 more answers
A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed
AURORKA [14]

Answer:

A 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].

Step-by-step explanation:

We are given that Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured.

For the 25-mil film, the sample data result is: Mean Standard deviation 1.15 0.11 and For the 20-mil film the data yield: Mean Standard deviation 1.06 0.09.

Firstly, the pivotal quantity for finding the confidence interval for the difference in population mean is given by;

                     P.Q.  =  \frac{(\bar X_1 -\bar X_2)-(\mu_1- \mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }  ~  t__n_1_+_n_2_-_2

where, \bar X_1 = sample mean speed for the 25-mil film = 1.15

\bar X_1 = sample mean speed for the 20-mil film = 1.06

s_1 = sample standard deviation for the 25-mil film = 0.11

s_2 = sample standard deviation for the 20-mil film = 0.09

n_1 = sample of 25-mil film = 8

n_2 = sample of 20-mil film = 8

\mu_1 = population mean speed for the 25-mil film

\mu_2 = population mean speed for the 20-mil film

Also,  s_p =\sqrt{\frac{(n_1-1)s_1^{2}+ (n_2-1)s_2^{2}}{n_1+n_2-2} } = \sqrt{\frac{(8-1)\times 0.11^{2}+ (8-1)\times 0.09^{2}}{8+8-2} } = 0.1005

<em>Here for constructing a 98% confidence interval we have used a Two-sample t-test statistics because we don't know about population standard deviations.</em>

<u>So, 98% confidence interval for the difference in population means, (</u>\mu_1-\mu_2<u>) is;</u>

P(-2.624 < t_1_4 < 2.624) = 0.98  {As the critical value of t at 14 degrees of

                                             freedom are -2.624 & 2.624 with P = 1%}  

P(-2.624 < \frac{(\bar X_1 -\bar X_2)-(\mu_1- \mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } } < 2.624) = 0.98

P( -2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } } < 2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } } <  ) = 0.98

P( (\bar X_1-\bar X_2)-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } } < (\mu_1-\mu_2) < (\bar X_1-\bar X_2)+2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } } ) = 0.98

<u>98% confidence interval for</u> (\mu_1-\mu_2) = [ (\bar X_1-\bar X_2)-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } } , (\bar X_1-\bar X_2)+2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } } ]

= [ (1.15-1.06)-2.624 \times {0.1005 \times \sqrt{\frac{1}{8}+\frac{1}{8} } } , (1.15-1.06)+2.624 \times {0.1005 \times \sqrt{\frac{1}{8}+\frac{1}{8} } } ]

 = [-0.042, 0.222]

Therefore, a 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].

Since the above interval contains 0; this means that decreasing the thickness of the film doesn't increase the speed of the film.

7 0
2 years ago
A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants
marishachu [46]
1. You have that:

 - The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span> 
 - He wants to surround it with a concrete walkway 3 feet wide.
 - He can only afford 300 square feet of concrete for the walkway.

 2. Therefore, the tota area is:

 At=L2xW2

 L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
 W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

 3. The area of the walkway is:

 A2=At-A1

 A2=300 ft²

 4. Therefore, you have that the width of the swimming pool is:

 A2=(W1+10)(W1+6)-(W1+4)(W1)
 300=(W1²+6W1+10W1+60)-(W1²+4W1)
 W1²+16W1+60-W1²-4W1-300=0
 12W1-240=0
 W1=240/12
 W1=20 ft

 5. And the length is:

 L1=W1+4
 L1=20+4
 L1=24 ft
8 0
2 years ago
Other questions:
  • The expression log1/3/log2 is the result of applying the change of base formula to a logarithmic expression. Which could be the
    15·2 answers
  • Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan
    9·1 answer
  • Emma is having a slumber party. She orders 2 pizzas, each cut into 12 equal slices
    14·1 answer
  • The bank statement of July 31 for Savon Co. showed a balance of $6,008.10, and the checkbook showed a balance of $1,900.40. The
    11·2 answers
  • Is 0.67 greater than 0.76?
    11·2 answers
  • A survey was conducted on the salaries of 30 randomly selected households in two different cities.
    13·1 answer
  • What is the approximate distance between the two points A(4, -2) and B(-1, 1)
    13·1 answer
  • PLZ PLEASE OMG PLEASE
    5·1 answer
  • 2 friends share 6 waffles equally
    6·2 answers
  • The graph shows amounts of water and flour that can be used to make dough. Make a ratio table that represents a different ratio
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!