Answer:
Step-by-step explanation:
100%-17.5%= 82.5%
82.5% (divide) 82.5%= 1%
so (1% of the orginal price)=
£264 (divide) 82.5%= £320= original price
The price of the computer is reduced by £56 which is 17.5% of £320.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The price of a computer is reduced by 17.5% and the reduced price is £264.
Let the original price be '£x'.
So, (100 - 17.5)% = 82.5% of '£x' is £264.
∴ (82.5/100)×x = 264.
0.825x = 264.
x = 264/0.825.
x = £320.
So, The price reduced is (320 - 264) = £56.
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James bought a television that was on sale for 3/4 of the original price, the original price was 749.99 what was the sale price in dollars of the tv round your answer to the nearest cent
A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:30 a.m. Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m. Round your answer to four decimal places, if necessary.
Answer:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.
We can consider 8 am = 0, and 8:30 am = 30, so [tex]a = 0, b = 30[/tex]
Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Between 15 and 25, so:
[tex]P(15 \leq X \leq 25) = \frac{25 - 15}{30 - 0} = 0.3333[/tex]
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
PLS HELP WITH QUESTION 5. I’m being timed
Jasmine ran 5 miles in 42 minutes.
Part A
At what rate did Jasmine run?
Jasmine ran at a rate of
minutes per mile.
Question 2
Part B
Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer.
HELPPPPPPPP.
Find the x intercept and the y intercept of the line below.
Answer:
x=-2 y=4
the line hits both -2 on the x asis and 4 on the y
I need help with this question
Christian gets $100 from his Grandma for his birthday. He decides to go to the bank and put it in a
savings account which earns 1% simple interest. When he graduates high school in 6 years, how
much money will be in his account?
$100
$160
$106
$6
Answer:
6 im pretty sure
Step-by-step explanation:
...
The actual distance from Jarret's home to
Lake Mitchell is 140 miles. The distance on a map
is 3.5 inches.
What scale could have been used for the map?
O 1 inch = 4 miles
O =
1 inch = 40 miles
0 =
1 inch = 137.5 miles
O
1 inch = 490 miles
Answer:
1 inch= 40 miles
Step-by-step explanation:
u don't need one it's very easy
Natalie wants to know how much money her computer costs each day if she never turns it off. She uses a meter to record the amount of energy her computer uses each day for 30 days. After recording the cost for 30 days, she determined the cost to run her computer is equal to the function /(d), where f(d) = 0.40d, where d is the number of days What is the value of '(d) at f(30)? dollars 4. What is the value of f(30) in context? I Running a computer for 30 days will cost her $ in electricity.
Answer:
Step-by-step explanation:
f(30) = 0.40×30 = $12
Running the computer for 30 days will cost $12 in electricity.
A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 64 bottles and finds the average amount of liquid held by the bottles is 9.9145 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0436. State the proper conclusion. choose from below and explain why.
A) At α = 0.05, reject the null hypothesis.
B) At α = 0.10, fail to reject the null hypothesis.
C) At α = 0.025, reject the null hypothesis.
D) At α = 0.05, accept the null hypothesis.
Answer:
A) At α = 0.05, reject the null hypothesis.
Step-by-step explanation:
Given a p-test value of 0.0436 ;
P-value = 0.0436
Recall :
Decision region :
Reject Null if p value < α
Testing the options :
A) At α = 0.05,
0.0436 < 0.05 (true)
Since p value < α ; Reject the null hypothesis.
B) At α = 0.10,
0.0436 < 0.1
True conclusion is to reject the Null Hypothesis
Hence, option B is incorrect.
C) At α = 0.025, reject the null hypothesis.
0.0436 > 0.025
True conclusion is ; Fail to reject the Null ;
Hence, option C is incorrect
D) At α = 0.05, accept the null hypothesis.
0.0436 < 0.05
True conclusion is ; reject the Null
Hence, option D is incorrect
The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft
find the difference 4 1/3 - 2 2/3
Answer:
1 2/3
Step-by-step explanation:
convert to improper fraction:
13/3 - 8/3
then solve:
13/3 - 8/3 = 5/3
convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):
"1 2/3" is "5/3" as a mixed number.
so your answer (as a mixed number) is:
"1 2/3"
Is 6/10 more than 3/4
Answer:
3/4 is greater
Step-by-step explanation:
3/4 > 6/10
Answer:
3/4 is more
Step-by-step explanation:
divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.
Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15.
а
5
b
10
20
Od
25
Answer:
When x=10 f(x) is equal to 15
Step-by-step explanation:
Just substitute the two equations, 15=2x-5 -> 20=2x -> x=10.
How do we write equations from word problems?
help i’m failing school rn lol
Answer:
B.9x
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
The diagram represents a 12 cm by 4 cm rectangle.
12 cm
4 cm
Calculate the area of the rectangle, giving the units of your answer.
help please! look at question
You sell 300 shares of Dendreon Corp at $8.89. You purchased the stock at $42.87. How much money did you lose?
O $42.87
O $8.89
$2,667
O $10,194
$12,861
Solve the inequality for x. Be sure to show all work to receive full credit.
−3x + 5 ≤ −16
Answer:
x ≥ 7
Step-by-step explanation:
First, put the same terms on the same side. So subtract 5 from both sides. You will get:
-3x ≤ -21
Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.
You will get:
x ≥ 7
Therefore, x will be a number that is greater than or equal to 7.
The RideEm Bicycles factory can produce 100 bicycles in a day at a total cost of $10,900, and it can produce 120 bicycles in a day at a total cost of $11,700. (a) Find a linear function that models the total cost for RideEm to produce x bicycles.
Answer:
c(x) = 40 (x) + $6,900
Step-by-step explanation:
According to the scenario, given data are as follows,
Total cost of 100 bicycles (x1) = $10,900
Total cost of 120 bicycles (x2) = $11,700
Let Number of bicycles = X
Than cost of X bicycles = c(X)
let, fixed cost be F and variables cost be V, than
c(X) = V(X) + F
So, we can calculate variable cost by using following method,
V = c(x2) - c(x1) ÷ ( x2 - x1)
= ( $11,700 - $10,900) ÷ ( 120 - 100)
= $800 ÷ 20
= $40
So, calculate fixed cast by putting value to equation,
$10,900 = ($40 ×100) + F
F = $10,900 - $4,000 = $6,900
So, For x number of bicycles, cost equation will be,
c(x) = 40 (x) + $6,900
Ava borrows $600 to buy a bike at a yearly simple interest rate of 2.25%. Ava borrows the money for 3 years. How much does Ava pay in simple interest?
Answer:
40.50
Step-by-step explanation:
you take 600.00 and multiply it by 2.25 you will get 1,350 divide 1,350 by 100 you will get 13.50 multiply 13.50 times 3 you get 40.50 that is interest for 3 years
can u pls help me with this question 2
Which is NOT equivalent to 40/100
A: 4/10
B:8/20
C:40/10
D:20/50
Answer:
B
Step-by-step explanation:
because B is 8/20 and it's not equivalent to 40/100
If the figure is a regular polygon solve for x 7x + 3
Answer:
The answer is 7 x + 3 =24 because its a problem solving
The requried simplified value of the 12 sided-polygon is given as 21.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
The polygon given has 12 sides,
The angle of the polygon is given as,
7x + 3 = (n - 2) × 180/n
7x + 3 = (12 - 2) × 180/12
7x + 3 = 10×15
7x = 150 - 3
x = 147/7
x = 21
Thus, the requried simplified value of the 12 sided-polygon is given as 21.
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Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.) (b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.) (c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.)
This question is incomplete, the complete question is;
Data on oxide thickness of semiconductors are as follows: 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416
(a) Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.)
(b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.)
(c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.)
Answer:
a) point estimate of the mean oxide thickness for all wafers in the population is 423.333
b) point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23
c) the standard error of the point estimate from part (a) is 1.88
Step-by-step explanation:
Given the data in the question;
x = 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416.
a)
To determine the mean;
we sum the total value divided by the sample size.
mean x" = (425 + 430 + 414 + 419 + ............... + 414 + 416) / 24
mean x'' = 10160/ 24
mean x" = 423.3333 ≈ 423.333
Therefore; point estimate of the mean oxide thickness for all wafers in the population is 423.333
b) standard deviation
we can determine the population standard deviation us the formula;
S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / n ]
= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / 24 ]
= √[ 1957.333 / 24 )
S.D(X) = 9.03
Note, the point of estimate of the variance population is biased estimate.
The unbiased point estimate of oxide thickness for all wafers in the population will be;
S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / (n-1) ]
= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / (24-1) ]
= √[ 1957.333 / 23 )
S.D(X) = 9.225 ≈ 9.23
Therefore, point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23
c) the standard error
SE (X") = S.D / √n
since the standard deviation is the unbiased estimate for the population, so;
SE (X") = 9.23 / √24
SE (X") = 1.884 ≈ 1.88
Therefore, the standard error of the point estimate from part (a) is 1.88
please help. I can't find answer.
Answer:
-1,5
Step-by-step explanation:
PLEASE HELP
Betty has a piece of ribbon that is 33 feet. How can she cut it into pieces without
wasting any? Select all that apply.
A. She can cut 4 pieces that are 8.25 feet each.
LA
B. She can cut 5 pieces that are 6.6 feet each.
ock
C. She can cut 4 pieces that are 8 feet each.
4
-
D. She can cut 5 pieces that are 6.75 feet each.
Answer:
Step-by-step explanation:
A. She can cut 4 pieces that are 8.25 feet each. This uses all 33 feet of ribbon with no waste.
B. She can cut 5 pieces that are 6.6 feet each. This uses all 33 feet of ribbon with no waste.
C. She can cut 4 pieces that are 8 feet each. This adds up to 32 feet, and so 1 ft is wasted
D. She can cut 5 pieces that are 6.75 feet each. Not possible, as this adds up to 33.75 ft, which is more ribbon than Betty has.
What is the slope of the line
Answer:
b
Step-by-step explanation:
the slope is 7 bc of y=mx+b. m is the slope
slope
y intercept
x intercept
Answer:
Step-by-step explanation:
y = mx + b
Here, m is the slope.
b is the y-intercept
x-intercept = -b/m
y = 3x -4
a) slope = 3
b) y-intercept = (-4)
c) x -intercept = -(-4)/3 = 4/3
[tex]y = \frac{1}{5}x-3[/tex]
a) slope = [tex]\frac{1}{5}[/tex]
b) y-intercept = (-3)
c) x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)
[tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]