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
dolphi86 [110]
2 years ago
6

What is the mechanical advantage of a ramp that is 5 m long and 1.5 m high

Mathematics
1 answer:
skad [1K]2 years ago
8 0
It would 7.5 meters long
You might be interested in
A normally distributed population has mean 57,800 and standard deviation 750. Find the probability that a single randomly select
Stels [109]

Answer:

(a) Probability that a single randomly selected element X of the population is between 57,000 and 58,000 = 0.46411

(b) Probability that the mean of a sample of size 100 drawn from this population is between 57,000 and 58,000 = 0.99621

Step-by-step explanation:

We are given that a normally distributed population has mean 57,800 and standard deviation 75, i.e.; \mu = 57,800  and  \sigma = 750.

Let X = randomly selected element of the population

The z probability is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)  

(a) So, P(57,000 <= X <= 58,000) = P(X <= 58,000) - P(X < 57,000)

P(X <= 58,000) = P( \frac{X-\mu}{\sigma} <= \frac{58000-57800}{750} ) = P(Z <= 0.27) = 0.60642

P(X < 57000) = P( \frac{X-\mu}{\sigma} < \frac{57000-57800}{750} ) = P(Z < -1.07) = 1 - P(Z <= 1.07)

                                                          = 1 - 0.85769 = 0.14231

Therefore, P(31 < X < 40) = 0.60642 - 0.14231 = 0.46411 .

(b) Now, we are given sample of size, n = 100

So, Mean of X, X bar = 57,800 same as before

But standard deviation of X, s = \frac{\sigma}{\sqrt{n} } = \frac{750}{\sqrt{100} } = 75

The z probability is given by;

           Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)  

Now, probability that the mean of a sample of size 100 drawn from this population is between 57,000 and 58,000 = P(57,000 < X bar < 58,000)

P(57,000 <= X bar <= 58,000) = P(X bar <= 58,000) - P(X bar < 57,000)

P(X bar <= 58,000) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{58000-57800}{\frac{750}{\sqrt{100} } } ) = P(Z <= 2.67) = 0.99621

P(X < 57000) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{57000-57800}{\frac{750}{\sqrt{100} } } ) = P(Z < -10.67) = P(Z > 10.67)

This probability is that much small that it is very close to 0

Therefore, P(57,000 < X bar < 58,000) = 0.99621 - 0 = 0.99621 .

7 0
3 years ago
Ellen purchased a dishwasher, which cost $315 before the 9.22% sales tax. She used the machine an average of 10 times per week f
Natasha2012 [34]
Given:
Cost of dishwasher : 315 before sales tax
sales tax : 9.22%

Total cost = 315 * 1.0922 = 344.043

Average of 10 uses per week for the next 6 years before replacing it.
There are 52 weeks in a year.

10 uses per week * 52 weeks per year * 6 years = 3120 average uses

cost for water = 0.09 ; cost for electricity = 0.13 ; total cost per use = 0.22

0.22 * 3120 = 686.40 cost of use

purchase cost =    344.043
cost of use      =    <u>686.40</u>
lifetime cost     1,030.443
5 0
3 years ago
Read 2 more answers
Heyy can you please help me posted picture of question
vichka [17]
We can use quadratic formula to determine the roots of the given quadratic equation.

The quadratic formula is:

x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a}

b = coefficient of x term = 4
a = coefficient of squared term = 1
c = constant term = 7

Using the values, we get:

x= \frac{-4+- \sqrt{16-4(1)(7)} }{2(1)} \\  \\ &#10;x=  \frac{-4+- \sqrt{-12} }{2}   \\  \\ &#10;x= \frac{-4+-2 \sqrt{-3} }{2} \\  \\ &#10;x= -2+- \sqrt{-3}

So, the correct answer to this question is option A
7 0
3 years ago
Please help me I don't know how to do this look at the attachment for the question
kupik [55]

the answer is 95.

Step-by-step explanation:

180-85=95

6 0
3 years ago
Read 2 more answers
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of pai
barxatty [35]

Answer:

1\frac{1}{4}\ liters

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

1\frac{3}{5}=\frac{1*5+3}{5}=\frac{8}{5}

step 2

Using proportion

\frac{2}{(8/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=2/(8/5)\\ \\x=10/8\ liters

step 3

Convert to mixed number

\frac{10}{8}\ liters=\frac{8}{8}+\frac{2}{8}=1\frac{1}{4}\ liters

8 0
3 years ago
Other questions:
  • How do you find domain and range in a graph.
    11·2 answers
  • 40=9x-5. <br>X=<br><br>liner equation
    10·2 answers
  • Can some explain how you got you answer? it's number 2
    6·1 answer
  • Who factored 12x^7 correctly?
    9·1 answer
  • F(x)=x^3+9x^2+23x + 15
    8·1 answer
  • Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. if the side lengths are all the same,
    7·1 answer
  • 2(n+3)= 2n+3<br> explain whys it weong ?
    13·1 answer
  • PLEASE HELP MEEEEEEEE!! I ONLY NEED NUMBER 2!! I WILL VOTE BRIANLYIST​
    9·1 answer
  • What is the value X?<br><br> If 4x + 9y = 13, AND 3x + 3 = 4
    15·1 answer
  • PLEASE HELP ME!!! Fist person to answer gets brainly
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!