The percentile rank of score 71 on the test is 26.7 and The score of the 60th percentile on the test is 84.
What is a percentile?The figure that a particular percentage falls within is referred to as the percentile. For instance, 80% of the kids in a group of 20 are shorter than you, and Ben is the fourth tallest.
Given:
58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96
Calculate the percentile of score 71 as shown below,
\(Percentile= n / N \times 100\)
Here, n is the number of scores below 71 and N is the total number of scores,
Percentile = 4 / 15 × 100
Percentile = 0.267 × 100
Percentile = 26.7 percentile
Therefore, the percentile rank of score 71 on the test is 26.7
(B)
Substitute the value in the formula given below,
60 = n / 15 × 100
n / 15 = 60 / 100
n = 0.6 × 15
n = 9
Thus, the 9th term here is 84,
Therefore, the score of the 60th percentile on the test is 84.
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Garden Avenue Middle School has 23 boxes of math books delivered each box contains 12 books a group of four Math teachers divide the books of evenly amongst the cells for their students how many books did each math teacher receive
Step-by-step explanation:
this is very roughly converted from the original question, I bet. no punctuation marks and, and ...
what I understood of the important information is :
there are 23 boxes of books with 12 books in each.
there are 4 teachers dividing the books evenly among themselves for their cells (classes ?) of students.
so, we need to divide the books by 4 to distribute them evenly into 4 parts.
23×12/4 = 23×3 = 69
each teacher got 69 books.
how can you represent 0.721 without using hundredths?
0.721 can be written in scientific notation as 7.21 x \(10^{-1}\)
What is scientific notation?Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example:
1 x 10² is equivalent to 100
1 x \(10^{-1}\) is equivalent to 0.1
To convert 0.721, multiply and raise 10 to the power of -1
by 10 = 7.21 x \(10^{-1}\)
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WILL MARK BRAINLIEST!!!
given j(x)= 7x+5 and k(x)=2x+1
What is (j-k)(1)
Answer:
\(7 \times 1 + 5 - 2 \times 1 - 1 = 7 + 5 - 2 - 1 = 12 - 3 = 9\)
In a binomial situation, n=18 and π=0.60. Determine the expected
value
The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.
In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.
In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.
n = 18 (number of trials)
π = 0.60 (probability of success for each trial)
To find the expected value:
E(X) = np
Substitute the given values:
E(X) = 18 * 0.60
Calculate the expected value:
E(X) = 10.8
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find the first quadrant area bounded by the curve y 2 = 5 − x and both coordinate axes.
The area of the first quadrant bounded by the curve and both coordinate axes is 2/3 (\(5^{(3/2)}\) - 5).
The given curve is y² = 5 - x, which is a parabola opening towards the left with a vertex at (5,0).
To find the area of the first quadrant bounded by the curve and both coordinate axes, we need to integrate the curve with respect to x over the range [0,5].
Since the curve is given in terms of y², we can rewrite it as y = ±√(5-x). However, we only need the positive root for the first quadrant, so we have y = √(5-x).
Thus, the area can be calculated as:
A = ∫[0,5] y dx
= ∫[0,5] √(5-x) dx
= 2/3 (\(5^{(3/2)}\) - 5)
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Simplify: (3x^2-5x +9)+(7x^2+8x-5
Answer:
=10x2+3x+4
Step-by-step explanation:
I hope this helps you
Answer:
10x^2+3x+4 should be the correct answer
UNIT 2
Decimals and Integers
perform the indicated operation -11 + -19
The value of the indicated operation -11 + -19 is -30
How to perform the indicated operation -11 + -19?The expression is given as:
-11 + -19
Evaluate the product of + and -.
So, we have:
-11 + -19 = -11 -19
Evaluate the difference
-11 + -19 = -30
Hence, the value of the indicated operation -11 + -19 is -30
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Someone help me please.
At the end of a snow storm, Damian saw there was a lot of snow on his front lawn.
The temperature increased and the snow began to melt at a steady rate. There was a
depth of 15 inches of snow on the lawn when the storm ended and then it started
melting at a rate of 0.75 inches per hour. Make a table of values and then write an
equation for S, in terms of t, representing the depth of snow on Damian's lawn, in
inches, t hours after the snow stopped falling.
WILL MARK BRAINLIEST!!
Answer:
Y=-0.75x+15, I don't think this is fully correct, but hopefully this gets you one step closer!
Step-by-step explanation:
Y=mx+b form
Y=-0.75x+15
Now a table...
(X=0,Y=15) (X=100, Y=90) etc...plug it in to find the value.
You have seen how the geometric distribution can be used to answer a question such as: What is the average number of rolls of a die needed to get a 6? In this problem, we will use geometric distributions to answer a related, but more challenging, question. Let X be the number of rolls of a die needed to get each number at least once. What is the average number of rolls needed, E(X) ? In this problem, a success is rolling any number that you have not yet rolled. Rolling each number at least once requires six different successes. Let x i
be the number of rolls necessary to get the i th success after you have had i−1 successes. Note that the subscripts denote successes, not numbers on the die. Then the number of rolls needed to get each number at least once is X=x 1
+x 2
+⋯+x 6
. 4.1. What is the probability of success on your first roll of the die? Remember that success means rolling any number you have not yet rolled. 2 4.2. The random variable x 1
is the number of rolls needed to get your first success. What is E(x 1
) ? 4.3. After you have your first success, what is the probability of success (rolling a number you have not yet rolled) on the next roll? 4.4. The random variable x 2
is the number of rolls needed to get your second success after getting your first success. What is E(x 2
) ? 4.5. What is E(x 3
) ? 4.6. By the linearity of expected value, the expectation of a sum of random variables is the sum of the expectations of the random variables. We can put that property to use here: The average number of rolls needed to get each number at least once is E(X)=E(x 1
)+E(x 2
)+⋯+E(x 6
). What is E(X)?
The probability of success on the first roll of the die is 5/6. The expected value of the random variable x1, representing the number of rolls needed to get the first success, is 6/5. The probability of success on subsequent rolls, after the first success, is 5/6. The expected values of x2, x3, x4, x5, and x6 are 6/4, 6/3, 6/2, 6/1, and 6/0, respectively. By applying the linearity of expected value, the average number of rolls needed to get each number at least once, E(X), is 6/5 + 6/4 + 6/3 + 6/2 + 6/1 + 6/0.
In this problem, we are interested in finding the expected value of the number of rolls needed to get each number on the die at least once. To begin, on the first roll, there are 5 out of 6 possible outcomes that are considered a success since we have not rolled them before. Therefore, the probability of success on the first roll is 5/6.
Next, we consider the random variable x1, which represents the number of rolls needed to get the first success. Since this follows a geometric distribution with probability of success p = 5/6, the expected value of x1 is given by 1/p, which is 6/5.
After obtaining the first success, the probability of success on subsequent rolls is (6-1)/6 or 5/6, as there are now 5 remaining numbers that have not been rolled. Therefore, the expected values of x2, x3, x4, x5, and x6 are 6/4, 6/3, 6/2, 6/1, and 6/0, respectively, following the same reasoning as for x1.
Finally, by applying the linearity of expected value, the average number of rolls needed to get each number at least once, E(X), is obtained by summing the expected values of x1, x2, x3, x4, x5, and x6. Thus, E(X) = 6/5 + 6/4 + 6/3 + 6/2 + 6/1 + 6/0, which gives the average number of rolls needed to achieve the desired outcome.
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Suppose a circle is divided into congruent slices. Match each number of slices with the
resulting central angle measure of each slice.
2
[ Choose ]
3
[ Choose ]
4.
[ Choose ]
5
[Choose ]
6
[ Choose1
>
8
[ Choose ]
Answer:
Think of it like this each circle has 360 degrees so take 360/2 360/3 and so on and see what you get
Step-by-step explanation:
Question: Suppose that X = {x,y, z} and u : X → Ris a utility function where u(x) = 1, u(y) = 0, and u(z) = 3. Which of the following utility functions are ...
Among the given utility functions, the ones that are linear are u(a) = 2a - 1 and u(b) = a + b. A linear utility function has the form u(x) = ax + b, where a and b are constant.
The utility function u(x) = 1 is linear, as it satisfies the form u(x) = ax + b with a = 0 and b = 1. However, the utility functions u(c) = max{2x - 1, 0} and u(d) = min{x + 2, 3} are not linear.
The utility function u(c) = max{2x - 1, 0} is non-linear because it involves the maximum function. It takes the maximum value between 2x - 1 and 0. Similarly, the utility function u(d) = min{x + 2, 3} is also non-linear because it involves the minimum function. It takes the minimum value between x + 2 and 3. Both of these utility functions involve non-linear operations, making them non-linear utility functions.
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What is the sum?
8+(-12)
O-20
O O OO
20
Please help
Answer:
-4
Step-by-step explanation:
=> 8-12
=> -4
round the following to the nearest tenth of 15.28
Answer:
15.3
Step-by-step explanation:
the 8 in the hundredths place is greater so the 2 in the tenths place has to go up one to be 3 so 15.3
Solve the equation. Check each solution. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is y= _____. B. There are infinitely many solutions. C. There is no solution.
Given:
\(\frac{y}{5}+\frac{y}{3}=8\)Step by step solution:
We need to comment on the number of solutions of the equation:
\(\begin{gathered} \frac{y}{5}+\frac{y}{3}=8 \\ \\ \frac{3y\text{ + 5y}}{15}=8 \\ \\ (8y)=8(15) \\ \\ y=15 \end{gathered}\)From here we can say that y will have only one solution, which is equal to y = 15.
i need some help 4/5t+150
Answer:
2/5(2t+125)
Step-by-step explanation:
if factorization,then this is the ans
4/5t+150
2/5(2t+125)
2.
Graph the inequality.
Match the graph to the correct inequality below.
A. x > 2
B. x \(\leq\) 2
C. x < 2
D. x \(\geq\) 2
Showing results for a rectangular glass dish has a measurements of 2. 5 inches high, 6. 75 inches wide and 8. 5 inches long. The density of the glass in the dish is 2. 23 grams per cubic centimeter and the mass of the dish is about 0. 9 kilograms, what is the thickness of the glass?
The thickness is given as t = 0.227 inches
How to solve for thicknessvolume of the dish:
Volume of the dish = length x width x height
= 8.5 x 6.75 x 2.5
= 143.4375 cubic inches
1 cubic inch = 16.3871 cubic centimeters
143.4375 cubic inches = 143.4375 x 16.3871 = 2351.5 cubic centimeters
Mass of the glass = density x volume
= 2.23 x 2351.5
= 5242.845 grams
1 kilogram = 1000 grams
5242.845 grams = 5.242845 kilograms
Total mass of dish and glass = mass of dish + mass of glass
= 0.9 + 5.242845
= 6.142845 kilograms
Volume of glass = (length - 2t) x (width - 2t) x (height - t)
Substituting the given values, we get:
2351.5 = (8.5 - 2t) x (6.75 - 2t) x (2.5 - t)
solve for t using the graphing system
t = 0.227 inches
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Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?
Answer:
≈93.6
Step-by-step explanation:
percent right = answers right/ anwers wrong
Answers right= 47-3=44
%=44/47
≈93.6
In a circle whose center is O, arc AB contains 100. Find the number of degrees in angle ABO. WILL MARK BRAINLIEST FOR BEST ANSWER A)50 B)40 C)65 D)60
Answer:
It is so easy u should get this right.
First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40
so it b 40.
Step-by-step explanation:
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Given that, in a circle whose centre is O, arc AB contains 100°.
We need to find the number of degrees in ∠ABO.
How are angles and arcs related?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
According to the theorem ∠ABO=1/2 × arc AB.
So, ∠ABO=1/2 × 100°=50°
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
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A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answer:
20,000
Step-by-step explanation:
*PLS HELP WILL MARK BRAINLIEST 100 POINTS* A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway. The base of the
archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic. If the truck remains just
to the right of the median, will it be able to pass under the archway without damage?
Answer:
No
Step-by-step explanation:
Think of the archway as a semicircle with a radius of 28/2 = 14
The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13
c² = a² + b²
c² = 7² + 13²
c² = 49 + 169
c² = 218
c = 14.76
Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage
simplify -1 1/2 divided by 1 2/3
Answer:
-5/2
Step-by-step explanation:
Or -2.5
If you divide a negative by a positive it becomes a negative.
Hope this helps any!
Which of the x values are solutions to the following inequality? x <21
A restaurant sold tacos and burritos. Tacos cost $2.00 and burritos cost $1.00. The restaurant sold 48 items for a total of $86.00. Write a system of equations.
Answer:
blank 1-2x+y1=86
Blank 2- x+y=48
Step-by-step explanation:
Identify a necessary and sufficient condition for two complex numbers a, b to have a real sum and a real product
Either both numbers are conjugated or both numbers are real numbers.
What are complex numbers?Complex numbers are made up of two parts: a real number and an imaginary number. Complex numbers serve as the foundation for more complex math, such as algebra.Consider two complex numbers q and p such that,q=c+id and p=a+ib.
A.T.Q. PQ is real and p + q real.pq=(ac−bd)+(bc+ad)iSince PQ is real, the imaginary part must be zero, hence bc+ad=0 or:
bc=−adThen,
p+q=(a+c)+(b+d)iHere also b+d must be zero or:
d=−bSo putting d=−b in bc=−ad, we will get,
b(c−a)=0So either,
b=d=0or, a=c,b=−dSo either p and q are conjugated
p=a+bi,q=a−bior both are real
p=a,q=cTherefore, either both numbers are conjugated or both numbers are real numbers.
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The correct question is given below:
If the product and the sum of two complex numbers are real, what can we say about the numbers? Prove it.
Help please 10 pts!!!
Answer:
2 cups
Step-by-step explanation:
to make one cup of orange
1/3 (multiply by 3) = 1 cup
then also multiply 2/3 by 3 =2
so you need 2 cups of pineapple
PLEASE HELP!!!
The value of a car decreases by 20 percent per year. Mr. Sing purchases $22,000 automobile. What is the value of the car at the end of the second year?
A)14,080
B)17,600
C)19,800
D)26,400
Answer:
A)
Step-by-step explanation:
In statistics, if a p-value is less than an alpha set at 0.05, is it considered significant or not?
A p-value less than 0.05 is considered significant because it indicates strong evidence against the null hypothesis.
A p-value is a measure of the strength of evidence against a null hypothesis. It tells you the probability of getting a test statistic as extreme as the one you observed, assuming the null hypothesis is true.
Now, to answer your question, if a p-value is less than an alpha set at 0.05, it is considered significant. This means that there is less than a 5% chance that the observed effect is due to random chance or error.
In other words, the evidence is strong enough to reject the null hypothesis and support the alternative hypothesis.
To better understand this concept, let's consider an example. Suppose we want to test whether a new drug is effective in treating a certain condition.
The null hypothesis is that the drug has no effect, while the alternative hypothesis is that it does have an effect. We conduct a clinical trial with a sample size of 100 patients and find that 60 of them show improvement after taking the drug.
We calculate a p-value of 0.02, which is less than our alpha of 0.05. This means that there is strong evidence to reject the null hypothesis and conclude that the drug is indeed effective.
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The line passes through (-5,6), slope=3. Write the equation in point-slope form
Answer:
y = 3x + 21
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula
The equation of the line passes through (-5,6), slope=3 in point-slope form is y = 3x + 21.
What is Equation of line?The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.
A line's equation has the conventional form ax + by + c = 0.
Here, the variables are x and y, the coefficients are a and b, and the constant term is c.
Equation in point slope form:
The general equation in point slope form is given by
y - y1 = m(x - x1)
where,
(x1,y1) = (-5,6) are the coordinates on x and y axis.
and, m = 3 is the slope of the line.
Substitute the value in the equation,
y - 6 = 3(x - (-5)
y - 6 = 3(x + 5)
y = x + 21
Therefore, the equation in the point slope form the given coordinates is y = x + 21.
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