Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
Kelly rolled scores of 254, 202, 284, 269, 151, 258 and 202 in a recent tournament. What was the mean, median and mode of her scores?
Answer:
See below!
Step-by-step explanation:
Data:254, 202, 284, 269, 151, 258, 202
Mean:The sum of data divided by the number of data is called mean.Mean of the data:
\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)
Median:The middle value of the data is median.Median of data:
Arrange the data in increasing order.
151, 202, 202, 254, 258, 269, 284
The middle value = 254
So,
Median = 254Mode:The frequently occurring value in the data is known as mode.Mode in data:
The mode, here, is 202. (occurring 2 times.)
So,
Mode = 2\(\rule[225]{225}{2}\)
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The 5th grade is going on a trip. There are 285 students in the grade. Buses hold 30 passengers. How many buses are needed for the entire fifth grade to go on their trip?
Answer:
10 busses
Step-by-step explanation:
285÷30=9.5
9.5 would round up to 10
The two figures are similar. Solve for x/ plz I need help
Answer:
23
Step-by-step explanation:
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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The graph shows the relationship between the number of hours Teresa spends
knitting and the number of squares she completes for a blanket. Based on the
equivalent ratios shown in the graph, how many hours does it take Teresa to
knit 265 squares? Show your work.
3:15, 6:30, 9:45, 12:60
When 15 squares are knit in three hours, 265 squares are knit in 53 hours.
What is proportion?A part, share, or quantity is a percentage when it is compared to the total. It can be any number between 0 and 1, 0, or 1. A number or percentage can be used to represent it. The percentage of Canadians who reside in a certain province is one illustration from official statistics. A unique kind of ratio called a percentage has the numerator and denominator combined. An illustration is the ratio of deaths to men, which is calculated by dividing deaths to men by deaths to men and women (i.e. the total population).
Here,
Let x be hours does it take Teresa to knit 265 squares,
3/15=x/265
3*265/15=x
x=53 hours
It takes 53 hours to knit 265 squares when it takes 3 hours to knit 15 squares.
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Juan sold a bicycle at a discount of 15%. If the selling price was $340, find the usual price of the bicycle.
Answer: $400
Step-by-step explanation:
Discount = 15%
The original price/value of an item is always 100%
So selling price (%) = original price - discount = 100%-15% = 85%
We got selling price as 85%
This implies that 85% = 340
Let's find 1% first, then 100%
1% = 340÷85 = 4
100% = 4 × 100 = $400
The usual (normal/original) price is $400
Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let's represent the usual price of the bicycle by P.
Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).
We can express this relationship as an equation:
S = 0.85P
We also know that the selling price of the bicycle was $340.
Substituting S = $340 into the equation above, we get:
$340 = 0.85P
To find P, we can solve for it:
P = $340 / 0.85
P = $400
Therefore, the usual price of the bicycle was $400.
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The sum of two integers is 250.If one of them is -87,find the others integers
1( m² + 15m + 56) = (____) (m+8)
2 a² +5ab + 6b²=(a +2b (_____)
pastor po
Step-by-step explanation:
1.
\( {m}^{2} + 15m + 56 = ( \: \: \: \: \: )(m + 8) \\ solution \\ \: \: taking \: lhs \\ = {m}^{2} + 15m + 5 \\ = {m}^{2} + (7 + 8)m + 56 \\ \: \: \: \: = {m}^{2} + 8m + 7m + 56 \: \: \\ now \: taking \: common \: factor \\ m(m + 8) + 7(m + 8) \\ (m + 7)(m + 8) \\ now \\ {m}^{2} + 15m + 56 = (m + 7)(m + 8)\)
2.
\( {a}^{2} + 5ab + 6 {b}^{2} = ( a + 2b)( \: \: \: \: \: \: \: \: ) \\ solution \\ taking \: \: lhs \\ = {a}^{2} + 5ab + 6 {b}^{2} \\ = {a}^{2} + ( 3+ 2)ab + 6 {b}^{2} \\ = {a}^{2} + 3ab + 2ab + 6 {b}^{2} \\now \: taking \: common \: factor \\ a(a + 3b) + 2b(a + 3) \\ (a + 2b)(a + 3) \\ now \\ {a}^{2} + 5ab + 6 {b}^{2} = ( a + 2b)( a + 3) ans\)
this may help you(:
using the data on this scatter plot
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
What is the percent increase from 250 to 900?
1. Write the percent change formula for an increase.
Percent Increase =
Amount of Increase
Original Amount
2. Substitute the known quantities for the amount of the increase and the original amount.
Percent Increase =
900 − 250
250
3. Subtract.
Percent Increase =
650
250
Answer:
260% is the correct answer
Step-by-step explanation:
i hope i helped
Please help me I really need to finish this
Answer:
9
Step-by-step explanation:
Need help on this!!! Pls help!!!
a) The mean of the data-set is of 2.
b) The range of the data-set is of 4 units, which is of around 4.3 MADs.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.
The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:
Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)
Mean = 2.
The range is the difference between the largest observation and the smallest, hence:
4 - 0 = 4.
4/0.93 = 4.3 MADs.
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Select three ratios that are equivalent to 7: 6.
Choose 3 answers:
12:14
21:18
42 : 36
63.54
12:14❤
21:18
What is the opposite reciprocal of 2/3?
Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.
Step-by-step explanation:
Three times a number decreased by 5 equals 10. Write the equation and find the number.
Answer:
3x - 5 = 10
Step-by-step explanation:
Convert 6 1/2 % to a decimal
Answer:
6.5=.065
Step-by-step explanation:
im assuming this is 6.5/100
hope this helps :)
Gia is painting her wall. 1 liter of paint can cover 10 square metres. She has a rectangular wall that measures 4 metres by 5 meters. How many liters of paint will Gia need to cover her wall?
Answer:
2 liters of paint.
Step-by-step explanation:
First we nned to know to total area of the wall by using the formula A = lw
A = 4*5 = 20m²
then we given 1 liter cover 10 m², 20 m² = 2 liters of paint.
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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What is the Square root of 5?
Answer:
2.2360679775
Step-by-step explanation:
Step-by-step explanation:
5^2
5×5
25
that is your answer
What is the radius of a circle that has a circumference of 3.14 meters?
Answer:
The answer is 0.5 meters
Step-by-step explanation:
Circumference of a circle = 2πr.
Given, circumference = 3.14 meters.
Now,
2πr = Circumference of a circle
2πr = 3.14.
2 × 3.14r = 3.14, [Putting the value of pi (π) = 3.14].
6.28r = 3.14.
r = 3.14/6.28.
r = 0.5 m
Thus, The answer is 0.5 meters
-TheUnknownScientist 72
two siblings are 55 years old combined the youngest sibling is 9 years younger than the oldest sibling how old is the youngest sibling
To solve systems of equations word problems, we can delegate certain variables to subjects mentioned in the word problem. From there, we can form equations based on the given values.
Solving the QuestionLet a be the older sibling's age and b be the younger sibling's age.
We're given:
a + b = 55 years oldb + 9 years = aAll we've done so far is translate the given sentences into equations. Now, we have to solve for b, which is the age of the youngest sibling. Solve using substitution:
\(a+b=55\\(b+9)+b=55\\b+9+b=55\\2b+9=55\\2b=46\\b=23\)
Therefore, the younger sibling is 23 years old.
Answer23 years old.
The rectangular floor of a classroom is 34 feet in length and 22 feet in width. A scale drawing of the floor has a length of 17 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of the scale floor is 56 inches.
What is Perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape.
To solve, we can set up fractions:
34/17 = 22/x
Cross multiply and you get:
34x = 374
Divide each side by 34:
x = 11
Since we are trying to find the perimeter of the floor, you can use this equation:
2w + 2l = p
Substitute to solve:
2 ( width = 11 )
2 ( length = 17 )
2 ( 17 ) + 2 ( 11 ) = p
34 + 22 = p
p = 56
Hence, the perimeter is 56inches
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Carole worked her 40 regular hours plus 5 O.T. hours at time-in-a-half rate. Her gross pay was $1,163.75. What is her regular hourly rate?
Let her standard pay rate = x
She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)
Write an equation:
40x + 5(1.5x) = 1163.75
Simplify:
40x + 7.5x = 1163.75
Combine like terms:
47.5x = 1163.75
Divide both sides by 47.5
X = 24.50
Her regular hourly rate is $24.50
Answer:
let rate be x
by question
40x+7.5x=1163.75
x=1163.75/47.5=24.5
her regular income is $24.5 per hour.
An iPhone X costs $1,000. One website is selling it for 20% off. What would the sale price be?
A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable variation is from .032 to .048 defective. a.Compute the capability index (Cp) for the process.
Answer:
The capability index for the process is 0.889
Step-by-step explanation:
Here, we want to compute the capability index for the process
To get this, we need some important parameters which we already have stated in the question
USL ( upper standard limit) = 0.048
LSL (lower standard limit) = 0.032
mean = 0.04
standard deviation = 0.003
We apply the formula as seen in the attachment below
Kindly understand that we are to calculate the Z upper and Z lower
The smallest value between the two will be our Z minimum
This is what we shall apply in the capability index formula which mathematically is;
Z minimum/3
From calculation:
Z lower = Z upper = 2.67
So therefore;
capability index = 2.67/3 = 0.889
Tim and Steve are brother. Their mom Lisa gives
them each a weekly allowance. Since Steve is older
than Tim so he gets $5 more than Tim. Write an
expression for how much money Lisa needs to give
Tim and Steve??
anyone
Answer:
5 for Tim and 10 for Steve?
Step-by-step explanation:
you didn't give a amount of how much they should get if they were the same age
Mr. Abenezer has developed two types of handcrafted adult games that he sells to department stores throughout India. Although the demand of these games exceeds his capacity to produce them, Mr. Abenezer continues to work alone and limits his week work to 50 hours. Game 1 takes 3.5 hours to produce and gives a profit of Birrs 140, while game 2 requires 4 hours to complete and brings a profit of Birrs 155. How much games of each type should Mr. Abenezer produce weekly, if his objective is to maximize the total profit
Game 1 required 3.5 hrs and game 2 required 4 hrs
mr.Abenezer can spend only 50 hrs per week
he can make 13 games per week
so he'll make 6 games which requires 3.5 hrs and 7 games of which requires 4 hrs for maximize profits.
Consider the following sets of sample data:A: $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100B: 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
The coefficient of variation for A is 20.37% and for B is 15.98%.
What is coefficient of variation?
In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.
We know that formula for coefficient of variation is
CV = Standard Deviation / Mean
A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100
Mean = 411200 / 14
Mean = $29371.42
Similarly,
Standard Deviation = $5984.52
So,
CV = 5984.52 / 29371.42 * 100
CV = 20.37%
B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98
Mean = 43.42 / 11
Mean = $3.94
Similarly,
Standard Deviation = $0.63
So,
CV = 0.63 / 3.94 * 100
CV = 15.98%
Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.
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