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.
learn more about percentages here :
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28 = 7(n + 3) what does this mean
Answer:
I don't know the answer to this
Anand knows from experience that if he does not review a new vocabulary word that he has learned, that
he has a 70% chance of forgetting it each day. Let D be the number of days Anand goes without reviewing
a word until he forgets it.
Find the probability that it takes Anand 4 or more days to forget the word.
You may round your answer to the nearest hundredth.
P(D > 4) =
Answer:
0.031
Step-by-step explanation:
1-0.973 = 0.027 ≈ 0.03
Let the graph of g be a horizontal shrink by a factor of 1/2 and a reflection in the x-axis, followed by a translation 1 unit down of the graph of f(x)=x^2 . Write a rule for g .
plz help very urgent
Answer:
Fooddddddddingggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggkygygygyygygygghgghhghghghgjkjkjkjkjkjkkjkjkjkjkjkjkjlllololololololololllololooloololololololololooololololololoolololololololoollololollololololololololoollol0olol0olololo0lo0l0ol00ol10000000000000000l00l00l00l000l0l0l0l0l0l00l0l0l0loolololoolol0olllolol0oooololo00l00l0l0lloololol0lololol0oololol0loloolol000llolo
Step-by-step explanation:
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
Write 0.6% as a fraction in simplest form.
Answer:
[tex]\frac{3}{5}[/tex]
Answer:
3/500
Step-by-step explanation:
Percent means
per hundred.
So we have the following.
0.6%=0.6 per hundred = 0.6/100
We next need to rewrite 0.6/100 so that is doesn't have a decimal in the numerator.
To do this, we multiply it by 10/10, which equals 1.
0.6/100 = 0.6/100 x 10/10 = 6/1000
(Note that we do not try to cancel when doing the multiplication.)
Our answer must be written in simplest form.
This fraction has a denominator of 1000.
So we can simplify it by focusing only on the factors 2 and 5.
In this case, we can divide both the numerator and denominator be 2.
6/1000 = 6 ÷ 2/1000 ÷ 2 = 3/500
We cannot use 2 or 5 to simplify further. So 3/500 is in simplest form.
So the answer is 3/500.
A sporting goods store charges $27 for 3 basketballs and $90 for 5 boxes of sneakers. A coach orders 40 basketballs and 7 boxes of sneakers. How much will the coach pay for the basketballs and sneakers?
Answer:
Let's start with the total money needed for basketballsThe total money the coach will need for 40 basketballs will be 40 times price of one basketball.
Thus we need to find the price of one basketball.
$27 for 3 basketballs
Thus for one basketball, [tex]\frac{27}{3}[/tex] Which gives us,
'9'.
So for 40 basketballs 40 * $9
Which gives us $360.
Now let's find the total money needed for sneakers.The total money needed for sneakers is 7 times the cost of one sneaker.
So, we need to find the cost of 1 sneaker
which is [tex]\frac{90}{5}[/tex] which gives us,
$18.
Thus total amount of money needed for sneakers is 9 * $18 which gives us
$162
So total amount the coach has to pay is $360+$162 (total cost of basketballs + total cost of sneakers)
=$552
Therefore, total amount the coach has to pay is $552
Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR. She placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the IQR of the population is 161616. She then took a random sample of 555 balls and calculated the IQR of the sample. She replaced the balls and repeated this process for a total of 505050 trials. Her results are summarized in the dotplot below, where each dot represents the sample IQR from a sample of 555 balls. 00551010151520202525Sample IQR Based on these results, does sample IQR appear to be a biased or unbiased estimator of population IQR
Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.
Step-by-step explanation: Checked by Khan Academy
Sample IQR appear to be a biased estimator of population IQR.
What is a biased estimator?
An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.
Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR.
She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.
The IQR of the population is 16.
She then took a random sample of 5 balls and calculated the IQR of the sample.
She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dot plot below, where each dot represents the sample IQR from a sample of 5 balls.
Sample range appears to be a biased estimator since it consistently underestimated the population range.
The sample ranges appear to be centered below 32.
Therefore, the sample IQR is a biased estimator.
To learn more about the biased estimator;
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The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hours. The Thompson family's sprinkler was used for hours. There was a combined total output of of water. What was the water output rate for each sprinkler if the sum of the two rates was per hour
This question s incomplete, the complete question is;
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.
There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour
Answer:
The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Step-by-step explanation:
Given the data in the question;
let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively
so
x + y = 55 ----------------equ1
x = 55 - y ------------------qu2
also
15x + 30y = 1050
x + 2y = 70 --------------equ3
input equ2 into equ3
(55 - y) + 2y = 70
- y + 2y = 70 - 55
y = 15
input value of y into equ1
x + 15 = 55
x = 55 - 15
x = 40
Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
13. A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by
12 inches. If the tank can hold a maximum of 3,960 cubic inches of water, how much glass
was used to construct the tank?
SA 2B+L
SA-alaw)+PH
37
ty
Answer:
Step-by-step explanation:
area of base = 22in×12in = 264 sq in
Height of tank = volume/(base area) = 3960/264 = 15 inches
Lateral area = 2(22 × 15) + 2(12 × 15) = 660+360=1020 sq in
Surface area = base area + lateral area= 264+1020=1284 sq in
Which of the points best represents the location of
5
on the number line?
8
A
B
D
+
-2
-1
0
2
C С
OD
OA
B
Answer:
B
Step-by-step explanation:
Answer:
the answer should be B
Step-by-step explanation:
Solve for x: one over five (5x + 12) = 18 (5 points)
a
seventy-eight over five
b
one hundred-two over five
c
6
d
30
Step-by-step explanation:
(1x+12/5)=18
X=18-12/5
X=15..6
Answer:
hello
Step-by-step explanation:
7(11p + 3) -9 p equals
Answer: 68p+21
Step-by-step explanation:
On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation
This question is incomplete, the complete question is;
On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation
Probability 0.35 0.26 0.21 0.18
Amount gained $100 $200 $300 -$15
Option;
a) $11,143
b) $106
c) $10,200
d) $147
Answer:
the standard deviation is 106
Option b) $106 is the correct Answer
Step-by-step explanation:
Given the data in the question;
let the random variable be x
x = amount gained by customers in a lucky draw contest
so
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
so
x x² p(x) x.p(x) x².p(x)
$100 10,000 0.35 35 3,500
$200 40,000 0.26 52 10,400
$300 90,000 0.21 63 18,900
-$15 225 0.18 -2.7 40.5
TOTAL 147.3 32,840.5
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
we substitute;
Variance (x) = 32,840.5 - (147.3)²
Variance (x) = 32,840.5 - 21,697.29
Variance (x) = 11,143.21
Now Standard Deviation = √variance
so, S.D = √11,143.21
S.D = 105.56 ≈ 106
Therefore, the standard deviation is 106
Option b) $106 is the correct Answer
Michelle buys 4 theme park admission cards online and gifts them to
her nieces. What will be the charge for 5 such admission cards, if she spent
$748 on her purchase?
Answer:
$971(nine hundreds and seventy one dollars
please help!!!!!!!!!!!!(15 points)
The probability that an event will occur is . Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
unlikely hope it helps
Step-by-step explanation:
Which expression is equivalent to
- 1/3(6x+18)+3x+5 help please
Answer:
Step-by-step explanation:-1/3(6x+18)+3x+5= -2x - 6 + 3x + 5 = x - 1. QED
Cuáles son las partes de un término algebraico
Answer:
coeficiente, variables, exponentes, y el signo.
Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Round your answer to the nearest penny.
Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Round your answer to the nearest penny.
HERES THE CPI CHART FOR IT
Answer:
wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Round your answer to the nearest penny.
HERES THE CPI CHART FOR IT
Step-by-step explanation:
with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Round your answer to the nearest penny.
Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been
This is equation
I don't know how to do
so can anyone tell me plz
with explanation it will help me alot ❤
Answer:
[tex] - \frac{10}{9} [/tex]
Find the unit rate.
2378 miles in 6 hours
Answer:
396
Step-by-step explanation:
do 2378 ÷ 6 = 396
Step 1. 2378 ÷ 6 = 396
boom answer
The diagram shows a 20 foot ladder leaning against a wall,”. The bottom of the ladder is 10 feet from the base of the wall. Based on these dimensions, what is the value of the x? HELP PLZ GOD HELP ME URGENT
Answer:
Step-by-step explanation:
Remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2
Since the horizontal leg is half the hypotenuse, it must be a 30-60-90 triangle, and x° = 30°
Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
Answer:
The unit price per ounce of flour is
Step-by-step explanation:
We can first change the 3 pound bag into ounces which is just 3x16=48 we can do this because 1 pound=16 ounces. Now we know there are 48 ounces so we divide 6.95/48
Which is .144791666...
how many times does 9 go into 12?
Answer:
one time.
Step-by-step explanation:
Suppose that a is an angle with sin A = 3/7 and a is not in the second quadrant. Compute the exact value of 10 a. You do not have to rationalize the denominator. Please answer it
Answer:
The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
Step-by-step explanation:
Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:
[tex]A = \sin^{-1} \frac{3}{7}[/tex]
[tex]A \approx 25.377^{\circ}[/tex]
Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
A cylinder has a base radius of 9m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?
Please help
Answer:
3562.6 m³
Step-by-step explanation:
In this question, we have to find the volume of a cylinder.
The formula to find the volume of a cylinder is V = πr²h
Plug in your values and solve.
Solve:
V = π(9)²(14)
V = π(81)(14)
V = π(1,134)
V = 3562.566069
Round to the nearest tenths place.
V = 3562.6
Don't forget that the units for volume is already cubed, or to the power of 3.
Your final answer would be 3562.6 m³
Ashley has 3/4 cups of sugar. She used 1/3 of the sugar she has to make holiday cookies for her family. How many cups of sugar did Ashley use to make the holiday cookies?
write the congruence condition in symbolic form for each pair of triangles. If wrong answer I will report. If correct answer I will mark brainliest.
9514 1404 393
Answer:
ΔXXX ≅ ΔXXX
Step-by-step explanation:
All vertices have the same designation, so the congruence statement is ...
ΔXXX ≅ ΔXXX
f - 3/4 = 1 1/2 please help !
Answer:
f = 2.25
Step-by-step explanation:
Given that,
[tex]f-\dfrac{3}{4}=1\dfrac{1}{2}\\\\f-\dfrac{3}{4}=\dfrac{3}{2}[/tex]
Adding 3/4 to both sides of the equation.
[tex]f-\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{3}{2}+\dfrac{3}{4}\\\\f=\dfrac{6+3}{4}\\\\f=\dfrac{9}{4}\\\\f=2.25[/tex]
So, the value of f is equal to 2.25.
El polinomio que se encuentra en orden descendiente es:
A) 4x2 + 12x + 9x2
B) 4x3+12x2 +9x+6
C)4+12x2+9x3
D)4x+12x2+9
