The correct option is B.
Rank
What is Rank function?The RANK function in a Microsoft Excel spreadsheet enables users to order the various pieces of data by their numerical values. By entering an absolute value for the range of cells the user wants to rank, they can also use the rank function. If an absolute value is not specified, the program's auto-formula may cause the rank of the various cells to alter.
What is Spreadsheet?A spreadsheet is a computer program used for organizing, organizing, analyzing, and storing tabular data. Spreadsheets were created as electronic alternatives to paper accounting worksheets. Data typed into table cells serves as the program's input.
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For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.
Simplify the numerical expression.
The expression has a value equal to
The numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = 67/24 on simplification using the BODMAS rule.
In the question, we are asked to simplify the numerical expression:
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3.
To simplify the expression, we will follow the BODMAS rule, where B means Brackets, O means Of, D means Divide, M means Multiplication, A means Addition, and S means Subtraction.
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3
= 2/3 ÷ 16 + (3/4 + 1/6) ÷ 1/3 {Solving 2⁴ = 16, before proceeding BODMAS}.
= 2/3 ÷ 16 + ((9+2)/12) ÷ 1/3 {Solving Brackets by taking LCM}
= 2/3 ÷ 16 + 11/12 ÷ 1/3 {Simplifying}
= 2/3 * 1/16 + 11/12 * 3/1 {Solving divisions by taking reciprocals}
= 1/24 + 11/4 {Multiplying}
= (1 + 66)/24 {Adding using LCM}
= 67/24 {Simplifying}.
Thus, the numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = 67/24 on simplification using the BODMAS rule.
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The provided question is incomplete. The complete question is:
"Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.
Simplify the numerical expression.
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3
The expression has a value equal to."
N1=731pˆ1=0. 33 n2=644pˆ2=0. 28 use this data to find the 90onfidence interval for the true difference between the population proportions
The 90% confidence interval for the true difference between the population proportions is [ - 0.0908, - 0.0092]
Given,
[tex]N_{1}[/tex] = 731
[tex]N_{2}[/tex] = 644
[tex]P_{1}[/tex] = 0.33
[tex]P_{2}[/tex] = 0.28
z score for 90% confidence interval = 1.645
Here, the confidence interval formula :
( [tex]P_{1} -P_{2}[/tex]) ± z [tex]\sqrt{\frac{P_{1}(1-P_{1}) }{N_{1} }+ \frac{P_{2}(1-P_{2}) }{N_{2} } }[/tex]
Substituting the values, we get
(0.33 - 0.28) ± 1.645 [tex]\sqrt{\frac{0.33(1-0.33)}{731}+\frac{0.28(1-0.28)}{644} }[/tex]
= 0.05 ± 1.645 [tex]\sqrt{0.0003024624+0.0003130435}[/tex]
= 0.05 ± 1.645 [tex]\sqrt{0.0006155059}[/tex]
= 0.05 ± 1.645 × 0.0248093914
= 0. 05 ± 0.0408114489
Confidence interval:
- 0.05 - 0.0408114489 = - 0.0908114489 ≈ - 0.0908
- 0.05 + 0.0408114489 = - 0.0091885511 ≈ - 0.0092
The confidence interval for the true difference between the population proportions is [ - 0.0908, - 0.0092]
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PLEASE ANSWER QUICKLY
Answer:
1st option
Step-by-step explanation:
to find f(g(x)) substitute x = g(x) into f(x) , that is
f(g(x))
= f(4x - 5)
= 2(4x - 5) + 1 ← distribute parenthesis
= 8x - 10 + 1
= 8x - 9
Four individuals invest in real estate together and i agreed to split the prophets equally, n invest $12,000, x invest 6,000, y invest $25,000, and z invest $7,000. if the profit of the first year were $120,000, y receives _ ? _ less than if the profit were divided in proportion to how much they invested.
Y receives $30000 less than if the profit were divided in proportion to how much they invested.
What is Proportional Profit?In a proportional tax system, everyone is compelled to pay the same amount of taxes as a percentage of their income.
According to the given information:Profit will Divide into 4 equal parts.
The total Profit for the month is = $120,000
The party will receive a sum of = $30,000
This shows that Y also receive the same amount
Y = $30,000 (Profit received)
Now
If the Profits were divided in proportion to the investments made .
The proportion on investment made by Y.
The total investment made = $12000+$6000+$25000+$7000
= $50000
Out of this the Amount invested by Y = $25000
The Proportional Profit of Y.
= (25000/ 50000) x 120000
= $60,000
So Y receives 60000 - 30000
= 30000
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What is the period of y=−5 cos( 8 π x)+3? Give an exact value. units PLEASE MAKE IT QUICK
Answer:
Maximum/Minimum Value: (0,−2) is a local minima (1/8,8) is a local maxima
Explanation: Use the derivative to find the maximum and minimum
Answer:
Period = ¹/₄
Step-by-step explanation:
The cosine function is periodic, meaning it repeats forever.
Standard form of a cosine function:
f(x) = A cos(B(x + C)) + D
where:
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shiftGiven function:
[tex]y=-5 \cos (8 \pi x)+3[/tex]
Comparing the given function with the standard form:
A = 5B = 8πC = 0D = 3[tex]\implies \sf Period=\dfrac{2 \pi}{B}=\dfrac{2 \pi}{8 \pi}=\dfrac{1}{4}[/tex]
Therefore, the period of the given function is ¹/₄.
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Consider a binomial experiment. if the number of trials is increased, what happens to the expected value? To the standard deviation? Explain
The expected value or mean of binomial distribution is also increased by increasing the number of trials.
The standard deviation of binomial distribution is also increased by increasing the number of trials.
According to the question
There is binomial experiment.
The condition given in the question is 'if the number of trials is increased, what happens to the expected value and to the standard deviation'.
We all know,
In binomial distribution, The mean or expected value is given by np whereas the variance is given by np(1 - p) where (1 - p) taken as q is the probability of failure and p is the probability of success.
The standard deviation of binomial distribution is [tex]\sqrt{npq}[/tex].
From the expected value formula we can see that number number of trials is directly proportional to mean or expected value.
Thus we can say that
If the number of trials is increasing, then the expected value is also increasing.
From the standard deviation of binomial distribution we can see that if the number of trials increasing then the standard deviation also increasing because standard deviation is directly proportional to number of trials.
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Consider the points (1,7),(-5,-4) what are the domain and range of this function
Answer:
Domain is 1 and 7 and range is -5and -4
Step-by-step explanation:
because domain is a first group element and range is a second element of a set
The number of students from there sections of class 6 are 32,3640. find minimum number of books required for their class library . so, that they can be equally distributed among the students of three sections?
The minimum number of books required to be equally distributed among the students are 1,440 books.
What is LCM?The smallest feasible multiple of two or more numbers is found using the LCM method. LCM is an abbreviation for least common multiple. The LCM of two numbers is divisible by both of them. The LCM of 6 and 8 is 24, for example. As a result, 24 is divisible by both 6 and 8.To find the minimum required books so that they can be equally distributed:
The number of students in three sections of class 6th are 32, 36, and 40.
Now, find the LCM od 32, 36, and 40.
The LCM od 32, 36, and 40 will be 1,440.
Therefore, the minimum number of books required to be equally distributed among the students are 1,440 books.
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Which of the following relationships will have a positive slope? Select all that apply.
Which function is the inverse of f(x) = 2x + 3?
05²¹(x) = -1/2 x 1/2
s^²(x) = { x = 1/
2
O f¹(x) = -2x + 3
O f¹(x)=2x+3
Answer: Option 2
Step-by-step explanation:
Let f(y)=x.
[tex]x=2y+3\\\\x-3=2y\\\\y=\frac{1}{2}x-\frac{3}{2}\\\\f^{-1}(x)=\frac{1}{2}x-\frac{3}{2}[/tex]
The inverse of the function is,
⇒ f ⁻¹(x) = 1/2 (x - 3)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 2x + 3
Now,
We can find the inverse of function as;
⇒ f (x) = 2x + 3
Put y = f (x);
⇒ y = 2x + 3
Solve for x;
⇒ y - 3 = 2x
⇒ x = 1/2 (y - 3)
⇒ f ⁻¹(x) = 1/2 (x - 3)
Thus, The inverse of the function is,
⇒ f ⁻¹(x) = 1/2 (x - 3)
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A cell phone company wants to determine the average amount of data that their smart phone customers use each month. which group would best represent a sample of the population?
The group that would best represent a sample of the study population is: C: one thousand of their customers with a current smart phone data plan.
What is a Representative Sample of a Population?A sample that best represents a population under study is a sample that is a subset of the entire population, that is, research subjects that are drawn as samples should reflect the general characteristics of the entire population without leaving out any part of the population. Also, a good sample should enable a researcher make generalization.
A sample that is a subset of a population and reflects the characteristics of the general population would not be biased.
Given the situation above, the population of the study are smart phone customers that use dat in the cell phone company. So, a sample that would better represent this general population would be customers that currently have a smart phone plan, since the average amount of data they use is what the cell pone company wants to ascertain.
Therefore, the group that would best represent a sample of the study population is: C: one thousand of their customers with a current smart phone data plan.
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The order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games is
The order of magnitude for total attended for a high school football team is 3
How to determine the order of magnitude?The given parameters are:
Average number of fan = 1000
Number of home games = 5
The total number of fans in the 5 games is:
Total number of fans = Average number of fan * Number of home games
Substitute known values in the above equation
Total number of fans = 1000 * 5
Express 1000 as 10^3
Total number of fans = 10^3 * 5
Rewrite the equation as:
Total number of fans = 5 * 10^3
The power of 10 represents the order of magnitude
Since the power of 10 is 3, the order of magnitude is 3
Hence, the order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games is 3
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Determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne. ) an = n2 n3 5n
The sequence [tex]a_n=\frac{n^2}{n^3+5n}[/tex] diverges.
For given question,
We have been given a sequence [tex]a_n=\frac{n^2}{n^3+5n}[/tex]
We need to determine whether the sequence converges or diverges.
From given sequence we have, [tex]a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}[/tex]
We use Ratio Test.
According to Ratio Test, [tex]r=\frac{a_{n+1}}{a_n}[/tex], where sequence converges if and only if |r| < 1.
Consider,
[tex]\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty[/tex]
Since [tex]\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |[/tex] is not defined, the sequence [tex]a_n=\frac{n^2}{n^3+5n}[/tex] diverges.
Therefore, the sequence [tex]a_n=\frac{n^2}{n^3+5n}[/tex] diverges.
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The time allotted for the Math test for 2 3/4 hours. Emma completed the test 1/2 of an hour earlier. How long did it take Emma to complete the test?
Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 kilometers per hour. how far apart were they after one hour? round the answer to the nearest tenth. a right triangle. a point at the angle with measure 90 degrees is labeled julia's house. a line drawn north is labeled 7 kilometers and a line drawn west is labeled 11 kilometers.
Samantha and Mia are 13 km apart from each other.
What is Pythagorean ?A right triangle's squared sides add up to the hypotenuse's squared length, according to the Pythagorean Theorem.
Mia is 7 kilometers north of Julia's home as she walked at a speed of 7 kilometers per hour.
Samantha walked at an average speed of 11 km/h, and she is now 11 kilometers west of Julia's home.
A right-angled triangle is formed by Julia's house, Mia and Samantha's locations after one hour, and the figure's points.
Hypotenuse of the triangle, which measures distance between the females
the Pythagorean theorem,
H² = P² + B²
H² = 7² + 11²
H² = 49 + 121
H = √170
H = 13.038
H = 13km
Between them, there is a 13 kilometer distance.
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Stephen and alice are reading the same book stephen reads 278 pages in 7 weeks alice reads 31 pages in a week about how many more page does stephen reads then alice
Stephen read about 9 pages more each week.
What is a linear equation in math?
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.If stephen reeds 278 pages in 7 week ,
To find number of pages read in 1 week, divide 278 by 7
= [tex]\frac{278}{7}[/tex] ⇒ 39.71
Another person reads 31 pages each week.
So stephen reads allmost 40 per week and alice 31.
Then, we need to find the difference between them
Difference = 40 - 31 = 9
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Jeri finds a pile of money with at least $\$200$. If she puts $\$80$ of the pile in her left pocket, gives away $\frac{1}{3}$ of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $\$200$ of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer as an interval.)
Based on the amount of money that Jerl had and then the amount that she put away, the possible values of the number of dollars in the original pile of money was ( 200, 440).
What was the amount in the original pile?The amount that was above $200 that she found can be x which means that the greater side of the inequality is:
= 200 + x
She then gave away $80:
= 120 + x
She gave away 1/3 of the money so the amount left is:
= 2/3 x (120 + x)
The lesser side of the inequality:
(x + 2) - 200 = x
So then:
((120 + x) x 2) / 3 > x
240 + 2x > 3x
240 > x
x < 240
The interval that shows the possible values of the original pile of money is therefore:
( 200, 440)
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If the 6am temperature in Durango, Colorado was -8° F and the temperature rose 15° by 2pm, then what would the temperature be at 2pm?
1. Tanya determined that the dimensions of a painted barn quilt needed to be 1 1/3 ft by 2 1/4 ft. What will be the area of the barn quilt?
2. Mrs. Smith oatmeal cookie recipe calls for 2/5 of a cup of sugar. How much sugar would she need to make 1/2 of a batch of cookies?
3. At the park, 6 boys are practicing throwing, catching, andhitting a baseball. Of those 6 boys, 2/3 of them are working on hitting. How many boys are practicing hitting the ball.
4. Rachel works at a lemonade stand at the park. On Monday she used 1 2/5 bags of lemons. On tuesday she used 1 1/4 times as many lemons as on Monday. How many bags of lemons did Rachel use on Tuesday?
The area of the barn quilt is 3 sq.ft.
The amount of sugar needed to make 1/2 of a batch of cookies is 1/5 of a cup.
Number of boys are practicing hitting the ball = 4
Number of bags of lemons used by Rachel on Tuesday = 1[tex]\frac{3}{4}[/tex]
1. A painted barn blanket needed to be 1 1/3 feet by 2 1/4 feet in size.
Area of the barn quilt = 1 1/3*2 1/4
= 4/3*9/4
= 3 sq. ft.
2. The recipe for Mrs. Smith's oatmeal cookies asks for 2/5 cups of sugar.
Sugar needed for making 1/2 of a batch of cookies = 1/2*2/5
= 1/5 of a cup
3. Six boys are practicing baseball throwing, catching, and hitting in the park. Two thirds of those six youngsters are practicing hitting.
Number of boys practicing hitting the ball = 6*2/3 = 4
4. At the park's lemonade kiosk, Rachel works. She used 1 and 2/5 bags of lemons on Monday. She used 1 and 1/4 times as many lemons on Tuesday as she did on Monday.
Number of bags of lemon used on Tuesday = 7/5*5/4
= 7/4
= 1 and 3/4 bags
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In the Kite Club, there are a total of 21 kids. There are 3 more girls than boys. Write two equations and graph to find the number of girls in the club.
A. 9 girls
B. 10 girls
C. 11 girls
D. 12 girls
I need help thank you.
what are the zeros of the function g(x)=x^2+3x-4
The zeroes of the function g(x) = x² +3x -4 as given in the task content is; x = -4 and x = 1.
What are the zeroes of the function given g(x) as represented in the task content?It follows from the task content that the function g(x) given in the task content is; g(x) = x² +3x -4.
On this note, it follows that the zeroes of the function can be determined by solving the quadratic function as follows;
x² +4x -x -4 = 0
(x+4) (x-1) = 0
Ultimately, it can be concluded that the values of x which represents the zeroes of the function are; x = -4 and x = 1.
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determine the quotient of 2/3 divided by 4/5
Please answer quickly,thanks you shall be marked a branliest
Answer:
18.0 cm to 1 decimal point.
Step-by-step explanation:
First work out the unknown side (s) of the right triangle using the Pythagoras theorem:
s^2 = 13^2 - 5^2
= 169 - 25 = 144
s = sqrt 144 = 12 cm.
Now consider the other triangle:
s = 12
The missing angle = 180 - 65 - 40 = 75 degrees.
By the Sine Rule:
x / sin 75 = 12 / sin40
x = 12 sin 75 / sin 40
= 18.03
-
Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5 inches high and 5.5 inches wide. The fine print on the postcard states that the scale of the picture is 1:19,600. Based on the scale, what's the actual length of the Golden Gate Bridge?
Question 19 options:
Based on the scale, the actual length of the Golden Gate Bridge is 68,600 inches.
What is the actual length of the Bridge?A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension. An example of a scale drawing is a map.
The scale of a drawing is usually written in this format - length in the drawing, a colon (:), then the matching length on the original image. An example of a scale is 1 : 19,600. This scale means that 1 inch of the postcard represents 19.600 of the original Golden Gate Bridge.
Actual length of the Bridge = scale x length of the bridge in the postcard
19,600 x 3.5 = 68,600 inches
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An airport parking lot charges a basic fee of $2 plus $1 per half-hour parked. what is the total charge from parking in the lot for 72 hours? a. $144 b. $146 c. $74 d. $72 please select the best answer from the choices provided a b c d
Using a linear function, the total charge from parking in the lot for 72 hours is of:
b. $146.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Both the basic fee, which is the y-intercept, and the hourly fee, which is the slope, are of $2, hence the cost of parking x hours is given by:
C(x) = 2x + 2
Hence the cost for parking 72 hours is:
C(72) = 2 x 72 + 2 = 2 x 73 = $146.
Which means that option b is correct.
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If the function f(x)= 3ax+b, x>1 11. 5ax-2b, x = 1 is continuous at x = 1, then find the values of a and b x
It looks like the function might be defined by
[tex]f(x) = \begin{cases} 3a{}x + b & \text{if } x > 1 \\ 11 & \text{if } x = 1 \\ 5a{}x - 2b & \text{if } x < 1 \end{cases}[/tex]
To ensure continuity at [tex]x=1[/tex], we need both one-sided limits to exist and have the same value.
[tex]\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} (5a{}x - 2b) = 5a - 2b[/tex]
[tex]\displaystyle \lim_{x\to1^+} f(x) = \lim_{x\to1} (3a{}x + b) = 3a + b[/tex]
Both limit values must be equal to [tex]f(1) = 11[/tex], so that
[tex]\begin{cases} 5a - 2b = 11 \\ 3a + b = 11 \end{cases}[/tex]
Eliminating [tex]b[/tex], we have
[tex](5a - 2b) + 2 (3a + b) = 11 + 2\cdot11 \implies 11a = 33 \implies \boxed{a=3}[/tex]
Solving for [tex]b[/tex], we get
[tex]5\cdot3 - 2b = 11 \implies -2b = -4 \implies \boxed{b=2}[/tex]
A glassware seller bought 1000 glass tumblers. 100 of them were broken and she sold the remaining tumbler at Rs 80 each. If she made a loss of 4%, at what proce did she purchase each tumbler?
Answer:
$75
My answer might be a bit off since I'm not really sure what you mean by "Rs 80", which I interpreted as $80, but if my interpretation is wrong, you can still use all the same steps and you should get the correct answer
Step-by-step explanation:
So we can represent the price of each tumbler as the variable "P", since it's some unknown value we're solving for. Let's also just say that "T" is the total price that she paid for all of the tumblers.
Using this equation we can derive the following equation.
1000P = T
Since multiplying the price of each glass tumbler times the price of one glass tumbler should equal the entire price.
Now she only sold 900 of them, since 100 were broken, and she sold them each for 80. So knowing this we can find how much she made in total from selling the remaining 900 glass tumblers
900 * 80 = 72,000
Now if she made a loss of 4%, that means the total money she made back, is only 96% the amount of money she paid for the product. The reason for this is (100-4)% represents a 4% loss.
Remember, how T represents the entire price, well we know that 72,000 represents 96% of it's value. To find what x% is of some number, you generally convert the percentage into a decimal by dividing by 100, so to find x% of some variable "a" you generally use the following equation: [tex]a*\frac{x}{100}[/tex] where the value of this expression will be equal to x% of a.
So let's convert 96% to decimal form: [tex]\frac{96}{100} = 0.96[/tex]. Now if we multiply this decimal 0.96 by T, we should get 72,000 since the 72,000 represents 96% of the original value
[tex]0.96T = 72,000[/tex]
To find the original value of T, we simply divide both sides by 0.96
[tex]T = 75,000[/tex]
So now that we know the original total price, we can use the original equation we derived to solve for P, which represents the price of each individual tumbler.
Original Equation
[tex]1000P = T[/tex]
Substitute 75,000 as T
[tex]1000P = 75,000[/tex]
Divide both sides by 1,000
[tex]75=P[/tex]
This means she sold each for 75
Identify the area of the figure rounded to the nearest tenth.
Please give an Explanation :)
Answer:
67.5 cm²
Step-by-step explanation:
The figure can be decomposed into figures whose area formulas you know.
DecompositionAs the attached figure shows, one way to decompose the figure is by extending the horizontal line. This divides the figure into an upper trapezoid and a lower rectangle.
TrapezoidThe area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the parallel bases, and h is the height.
The bases of the trapezoid in this figure are 6 and 3 cm, and the height is 5 cm. Its area is ...
A = 1/2(6 cm +3 cm)(5 cm) = 22.5 cm²
RectangleThe area of a rectangle is given by the formula ...
A = LW
where L and W represent the length and width, respectively.
The dimensions of the rectangle in this figure are 15 cm long by 3 cm wide. Its area is ...
A = (15 cm)(3 cm) = 45 cm²
Total areaThe total area of the figure is the sum of the areas of the trapezoid and rectangle:
A = (22.5 cm²) + (45 cm²) = 67.5 cm²
The are of the figure is 67.5 cm².
27. Write down the co-ordinates of the points where the line y = 4x - 3 cuts the x-axis
Step-by-step explanation:
it is a line, so that is 1 point, where it cuts the x-axis.
in general that means y = 0.
so,
0 = 4x - 3
4x = 3
x = 3/4
the point, where the line cuts the x-axis is
(3/4, 0)
Please help me with alg 2 question!
Answer:
J
Step-by-step explanation: