The price of an item has been reduced by 55%. The original price was $20. What is the price of the item now?
Answers
Answer:
answer 9
Step-by-step explanation:
if subtract 20$ by 55% you get 9
Related Questions
MAINTAIN ACCURACY Melody is in charge of building a ramp for a loading dock. According to the plan, the ramp makes a 30° angle with the ground. The plan also states that ST is 4 feet longer than R$. Use a calculator to find the lengths of the three sides of the ramp to the nearest thousandth.
What’s the size of side RS, ST, and RT
Answers
The size of RT = 36,000 feet
Size of ST = 31.177 feet.
This can be solved by using Pythagoras theorem.
What is Pythagoras theorem?According to Pythagoras's theorem, the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides. This right triangle three sides generally called as that of the Perpendicular, Base, and Hypotenuse.
With the aid of the Pythagorean Theorem, we may find the side lengths of a right triangle by adding the areas of three intersecting squares. This theorem is a very helpful tool that serves as the foundation for more intricate trigonometry ideas like the reverse of the Pythagorean theorem.
From the given triangle RST,
RS = 18
∠S = 90°
So, RS / RT = Sin ∠T
or, RT = RS / Sin 30°
or, RT = 18 / (1/2)
or, RT = 36,000 feet
Next,
RS / ST = tan ∠T
or, ST = RS / tan 30°
or, ST = 18 / (1/√3)
or, ST = 18√3 feet
or, ST ≈ 31.177 feet
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using number line write the integer which 5 more than -3
Answers
Answer:
x = 2
Step-by-step explanation:
We need to write an integer that is 5 more than -3.
Let the integer be x.
So,
x = 5+(-3)
x = 5-3
x = 2
Hence, the required integer be 2.
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answers
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
\(H_o: \mu = 8\)
The alternative hypothesis is:
\(H_1 : \mu \ne 8\)
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = \(\sqrt{0.03} = 0.173\)
The t-test statistics is computed as:
\(t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}\)
\(t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}\)
\(t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}\)
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
\(t_{critical} = -2.728 \ and \ 2.728\)
Decision rule: To reject \(H_o\) if \(t< -2.728 \ or \ t > 2.728\)
As \(t_{statistics}\) fails the rejection region, we reject \(H_o\)
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean \( \overline{x} = 7.91\)Sample size n = 35Sample standard deviation \(s = \sqrt{variance} = \sqrt{0.03} = 0.1732\)Confidence should be of 99%.Let the population mean be denoted by \(\mu\)
Forming hypotheses:Null hypothesis: \(\mu = 8\) (that is, machine needs no repair and working fine)
Alternate hypothesis: \(\mu \neq 8\) (that is, machine is not dispensing right amount and need repairs)
Using t test:
\(t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}\)
\(t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821\)
Degree of freedom = sample size - 1 = 34
Level of significance = \(\alpha = 1 -0.99 = 0.01\)
From t tables we have:
\(t_{critical} = t_{0.01} = \pm 0.278\) (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range \((-0.278, 0.278)\), thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
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A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 10 of merlot, and 12 of cabernet, all from different wineries. He will serve five bottles of the wines during dinner in a particular order,
(a) How many distinct sequences are there of serving any five wines?
(b) If the first two wines have to be zinfandel and the last three must either be merlot or cabernet, how many ways can this be done?
(c) If the wine sequence is formed randomly, what is the probability that none of the wines served is a zinfandel?
Answers
Answer:
Step-by-step explanation:
From the given information:
The total number of wine = 9 + 10 + 12 = 31
(1)
The number of distinct sequences used for serving any five wines can be estimated by using the permutation of the number of total wines with the number of wines served.
i.e
= \(^{31}P_5\)
\(=\dfrac{31!}{(31-5)!}\)
\(=\dfrac{31!}{(26)!}\)
\(=\dfrac{31\times 30\times 29\times 28\times 27\times 26!}{(26)!}\)
= 20389320
(2)
If the first two wines served = zinfandel and the last three is either merlot or cabernet;
Then, the no of ways we can achieve this is:
= \(^9P_2\times ^{22}P_3\)
\(= \dfrac{9!}{(9-2)!}\times \dfrac{22!}{(22-3)!}\)
\(= \dfrac{9!}{(7)!}\times \dfrac{22!}{(19)!}\)
\(= \dfrac{9*8*7!}{(7)!}\times \dfrac{22*21*20*19!}{(19)!}\)
= 665280
(3)
The probability that no zinfandel is served is computed as follows:
Total wines (with zinfandel exclusion) = 31 - 9 = 22
Now;
the required probability is:
\(= \dfrac{^{22}P_5 }{^{31}P_5}\)
\(= \dfrac{\dfrac{22!}{(22-5)!} } {\dfrac{31!}{(31-5)!} }\)
\(= \dfrac{\dfrac{22!}{17!} } {\dfrac{31!}{(26)! }}\)
\(= \dfrac{(\dfrac{22*21*20*19*18*17!}{17!})} {(\dfrac{31*30*29*28*27*26!}{(26)! })}\)
= 0.1549
≅ 0.155
6) Select all the equations that describe this situation. Shamiya's backpack weighs 3 pounds less than Scarlett's backpack. Scarlett's backpack weighs 14 pounds. How much does Shamiya's backpack weigh? Note** - Select ALL statements that apply!*
Answers
or
\(\begin{gathered} x=14-3 \\ x+3=14-3+3 \\ x+3=14 \end{gathered}\)answer: a) and c)
Students at two high schools were asked about their plans after graduation. The table displays the results for 300 students at Henderson High School. The bar graph displays the results for 300 students at Johnson High School. Which Statement about the results from Henderson High School and johnson high school must be true?
Answers
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
Options F and G are the correct answer.
We have,
The number of students in Henderson High School.
Work = 96
College = 114
Armed forced = 48
Other = 42
The number of students in Johnson High School.
Work = 30
College = 40
Armed forced = 15
Other = 15
From the information,
The number of students in Work for Henderson High School is greater than Johnson High School.
Now,
Henderson High School:
Armed force and other = 48 + 42 = 90
Mode = college
Johnson High School.
Armed force and other = 15 + 15 = 30
Mode = college
Thus,
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
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Read the following prompt and type your response in the space provided. A comparative dot plot is shown for the points scored in a game by the members of two groups. Comparative dot plot. Number line from 41 to 59 for Group A. There is one dot above 41, two dots above 44, three dots above 45, one dot above 46, four dots above 47, two dots above 48, one dot above 49, and one dot above 50. Number line from 41 to 59 for Group B. There is one dot above 41, four dots above 42, five dots above 43, two dots above 44, one dot above 46, one dot above 47, two dots above 49, and three dots above 50. Compare the measures of spread for the two groups.
Answers
In terms of measures of spread, Group B has a wider IQR than Group A
The comparative dot plots show the points scored in a game by two groups, Group A and Group B. Both groups have a similar spread, with most of the dots clustered around the middle of the distribution. However, there are some differences in the tails of the distribution that affect the measures of spread.
For Group A, the lowest score is 41, and the highest score is 50. The interquartile range (IQR), which is the range containing 50% of the scores, is approximately from 45 to 48. The range, which is the difference between the highest and lowest scores, is 9.
For Group B, the lowest score is 41, and the highest score is 50. The interquartile range (IQR) is approximately from 43 to 49. The range is also 9.
This indicates that Group B has a more variable distribution of scores within the middle 50% of the distribution, indicating a more variable distribution of scores within the middle.
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2. Amy opened a savings account with $152 dollars in the first month. After
the first month, Amy plans on depositing 20 into her account each month.
a. Complete the table showing the balance of her savings account over the course
of several months.
Month Account Balance
Use variable n to write expression
Answers
*Please provide a picture of the table next time*
152+ 20n
n is the number of months
after 5 months
152+ 20(5)
=252
after 10 months
152+20(10)
= 352
Each time you need to find the balance for the certain month, replace the n with the number of months.
Hope that helped
The data below shows the stem and leaf plot of the number of counties in some U.S. states in 2013.Which of the following statements are true? Select all that apply. a) There are $_5$_ states in the data set that have $_10$_ counties or greater but have $_19$_ counties or lesser.b) There are $_4$_ states in the data set that have $_20$_ counties or greater but have $_29$_ counties or lesser.c) There are $_11$_ values in the data set.d) There are $_16$_ values in the data set.
Answers
Given the information on the stem and leaf plot, we can write the following values for each stem:
\(\begin{gathered} 0,0,3,5,5,8 \\ 10,14,14,15,16,16 \\ 21,23,23,29 \end{gathered}\)First, notice that there are 5 states that have 10 countes or greater (10,14,14,15,16) and have 19 conties or lesser.
Also, there are 16 values in the data set.
Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas, and $0.35 per mile. For how many miles is the rental cost at both companies the same?
Answers
1415236 IDC DCCDSDSDCSDCSDC
somebody please help me with math ;-;:
what is the equation for this table?
X 2 4 5 8 12
Y 11 13 14 17 21
options:
1.y = x + 9
2.y = x - 9
3.y = x ÷ 9
4.y = 9 x
Answers
Answer:
y=x+9
Step-by-step explanation:
2+9=11,4+9=13,5+9=14,9+8=17,12+9=21
Please need help Please
Answers
Answer: 14/11
Step-by-step explanation:
When 14/11 is multiplied by 1/4, you get a repeating decimal. All repeating decimals are rational.
Hope it helps <3
Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.
Answers
Answer: 23100 voters
Step-by-step explanation:
42*55000=2310000
2310000/100=23100 voters
find an equation for the line below
Answers
( u find the slope using rise/run then after finding the slope u use the equation and a point on the graph to find the y-intercept
14. The figure below shows nine tiles with single-digit numbers painted on them. If xy is the product of the ue of any two tiles selected at random, how many different possible value for xy are there? (a + a)/a * AA. 4B. 7C. 10D.12
Answers
All possible products are:
\(\begin{gathered} 0\cdot0=0\cdot1=0\cdot2=0\cdot3=0\cdot4=0, \\ \text{1}\cdot2=2,\text{ 1}\cdot3=3,\text{ 1}\cdot4=4, \\ 2\cdot3=6,\text{ 2}\cdot4=8, \\ 3\cdot4=12. \end{gathered}\)Answer: Option B.
A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ratio to make 1900 pounds of a high grade 55% protein ration how many pounds of each should he use
Answers
The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.
To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.
Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.
The total weight equation is given by:
x + y = 1900
The protein content equation is given by:
(0.70x + 0.20y) / 1900 = 0.55
Simplifying the second equation, we get:
0.70x + 0.20y = 0.55 × 1900
0.70x + 0.20y = 1045
Now, we can solve this system of equations to find the values of x and y.
Rearrange the first equation to solve for x:
x = 1900 - y
Substitute this expression for x in the second equation:
0.70(1900 - y) + 0.20y = 1045
1330 - 0.70y + 0.20y = 1045
1330 - 0.50y = 1045
-0.50y = 1045 - 1330
-0.50y = -285
y = -285 / -0.50
y = 570
Now substitute this value of y back into the first equation to find x:
x + 570 = 1900
x = 1900 - 570
x = 1330
Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.
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Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures
Answers
Answer:
1. second
2. -200
Step-by-step explanation:
Just did it on e2020
A newborn baby has extremely low birth weight if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children who had been born with extremely low birth weights. Their mean weight at birth was 810 grams.
a) What is the population being sampled in this study? b) Is 810 a parameter or a statistic? Explain why.
Answers
A) The population being sampled in this study is Population Mean
B) A parameter or a statistic of 810 is sample mean weight of the children will be same as the mean weight of the population
What is Sample and Population?
The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample.
Reason For (A) - An objective estimator of the mean weight m in the population of infants with exceptionally low birth weights is the sample mean. This indicates that the sample mean is the same as the population mean when the sample is a straightforward random sample taken from the population.
Reason For (B) - According to the query, a newborn is considered to have a very low birth weight if its weight is less than 1000 grams. 219 infants with extremely low birth weights had an average weight of 810 grams. Additionally, the sample mean provides a fair estimate of the average weight of the population of infants who were born with exceptionally low birth weights.
Therefore, if various samples of size 219 are drawn from the same population, the mean of the sample mean weight of the children will be the same as the mean weight of the population.
The mean of all sample means will be equal to the population mean weight if the ith sample's mean weight is x.
Therefore, the sample mean is an unbiased estimator of the population mean, which means that when various samples of size 219 are drawn from the same population, the mean of the sample means will be identical to the population mean.
A) The population being sampled in this study is Population Mean
B) A parameter or a statistic of 810 is sample mean weight of the children will be same as the mean weight of the population
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6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
Answers
I AM IN NEED OF HELP THANKYOU
Answers
Answer:
The correct answer is C
Step-by-step explanation:
hope it will help you
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=34 and EB=38, solve for EA. Round to the nearest tenth if necessary
Answers
The value of side EA is,
EA = 16.9
We have to given that;
Circle E with diameter CD and radius EA.
And, AB is tangent to E at A.
Here, AB = 34 and EB = 38
Hence, By using Pythagoras theorem we get;
AB² + AE² = EB²
34² + AE² = 38²
1156 + AE² = 1444
AE² = 1444 - 1156
AE² = 288
AE = √288
AE = 16.9
Thus, The value of side EA is,
EA = 16.9
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what is 9983988038208302-square root of 10 billion squared?
Need help quick, i will call you brainliest :D
Answers
what is the reciprocal for 4/9
Answers
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
What is the volume of this figure?
Answers
Answer:
112cm³
Step-by-step explanation:
Let us ignore the bottom part of the figure and first find only the volume of the cuboid at the top
from the figure we know that
length of the cuboid is 10 cm
Width is 2 cm
height is 5 cm
now the formula for Volume of cuboid is Length×Width×Height
so,
Volume of the Upper Cuboid = 10×2×5= 100cm³ ---(1)
Now we will ignore the cuboid on top and find the volume of the one at the bottom
From the figure, we know that its dimensions are
length = 2cm
height = 3cm
width = 2cm
Volume of the lower cuboid = 2×2×3 = 12cm³ ---(2)
Adding (1) and (2)
100cm³ + 12 cm³ = 112cm³
Therefore the volume of the given figure is 112cm³
The volume of the box is 112 cm³.
We have,
The figure can be considered as two boxes.
Now,
One box:
Volume.
= Length x Width x height
= 10 x 2 x 5
= 100 cm³
Another box:
Volume.
= Length x Width x height
= 2 x 2 x 3
= 12 cm³
Now,
The volume of the box.
= 100 + 12
= 112 cm³
Thus,
The volume of the box is 112 cm³.
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Absolute vale of x+2 if x is less than 2
Answers
Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).
Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).
What happens to the kinetic energy when mass decreases
Answers
Answer:
Therefore, in a scenario where mass is decreased, an increase in kinetic energy is possible if velocity increases. In the case of a decrease in mass and velocity, kinetic energy must decrease because both of the determining factors decreased.
Step-by-step explanation:
Step-by-step explanation:
Decreases in mass cause decreases in kinetic energy due to the aforementioned positive relationship between the two. ... In the case of a decrease in mass and velocity, kinetic energy must decrease because both of the determining factors decreased.
NEED ANWSER ASAP PLS
a horizontal translation only
a horizontal translation and a 180° rotation
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
Answers
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
Here, we have,
the conditions for mapping the strip transformation pattern onto itself:
The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.
The second way is to reflect the strip pattern across a vertical line.
Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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complete question:
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
Ashley wants to travel to Florida with her friends. A round trip plane ticket is $299. She has $42. Her parents are willing to chip in 3 times whatever she saves for the trip. She can babysit on the weekends for $20/hour. How many more hours will Ashley have to work until she has enough money for the trip?
Answers
Answer:
hi
Step-by-step explanation:
To purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
Answers
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
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help would be appreciated
Answers
The perimeter of the parallelogram is 10units
What is perimeter of a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.
To obtain the perimeter of the parallelogram , we add all the sides together.
P = 2(l+b)
P= 2( c-2+12-c)
P = 2( c-c -2 +12 )
P = 2( 10)
P = 20
therefore the perimeter of the parallelogram is 20
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