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
Sunny_sXe [5.5K]
2 years ago
8

At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?​

Mathematics
1 answer:
sashaice [31]2 years ago
4 0
The answer is: $695.64

527 times 0.32 then add that to 527
You might be interested in
Please help! Brainliest will be given to first to answer
Nataly_w [17]

Answer:

100 residents/km2

Step-by-step explanation:

5×4 = 20 2,000÷20 = 100

6 0
3 years ago
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t
LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

H_0: \mu = 59.5

At the alternate hypothesis, we test that it is different, that is:

H_a: \mu \neq 59.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that \mu = 59.5

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that n = 250, X = 59.2, \sigma = 1.9

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

z = -2.5

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0
3 years ago
Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tan
weqwewe [10]

Answer:

8/7 min  = 1 \frac{1}{7}   minutes

Step-by-step explanation:

A rate 2 2/3 = 8/3 min per tank

B rate 2 min per tank

thus:

A rate = 3/8 tank per min

B rate = 1/2 tank per min

A+ B =  3/8 + 4/8 = 7/8 tank per min

7/8 x = 1

x = 8/7 min

 

6 0
3 years ago
Bert's bike shop has a $400 bicycle marked with a sign that says take a 35% discount what is the sale price
Inessa [10]

Answer:

$260

Step-by-step explanation:

Turn the percentage into a decimal.

35% -> 0.35

Multiply.

400 * 0.35 = 140

Subtract.

400 - 140 = $260

Best of Luck!

7 0
3 years ago
Read 2 more answers
Find the value of x (sines and cosines)
Sav [38]
You would begin by choosing which trigonometric function to use. 
In this case, you would use sine.

Sine is opposite over hypotenuse. 
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.

sin(35) = \frac{18}{x} (multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...

So, therefore x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)
3 0
3 years ago
Other questions:
  • Find the circumference of a circle that has a diameter of 4 m..
    15·1 answer
  • Grapes cost $4.99 for 4 pounds at the supermarket.They 6.99 for 6 pounds at food mart.Witch store has a better deal?
    12·1 answer
  • To meet the copper requirements of a growing pain, the feed must contain 4 mg copper per kilogram of dry matter of feed. If a pi
    5·1 answer
  • Inductive reasoning is when someone uses lots of data to make a conjecture
    6·1 answer
  • 1.5/4x+1=0.4/x+4 PLEASE HELP ITS PROPORTIONS
    8·1 answer
  • WHICH TABLE IS A FUNCTION?<br> TABLE A<br> TABLE B<br> NEITHER<br> BOTH
    10·2 answers
  • Please please please help me show your work (10 points!!)
    13·2 answers
  • The side lengths of a rectangle are all multiplied by 5. What happens to its perimeter?
    7·1 answer
  • I need help with thsi pls help
    6·1 answer
  • A researcher weighed cantaloupes grown across a certain
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!