The box-and-whisker plot below represents some data set. What percentage of the
data values are greater than or equal to 40?
Answers
The percentage of the data values greater than or equal to 40 is 50%.
Box-Whisker plot InterpretationThe vertical line drawn in-between the box of a box and whisker plot is the median value. The median value represents the 50th percentile which is 50% of the plotted data.
40 represents the median. And 50% of the data values are equal to or greater than this value and vice versa.
Therefore, 50% of the data are greater than or equal to 40.
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Related Questions
0.075, 75%, 3/4 least to greatest
Answers
Answer:
0.075, 75%, 3/4
Step-by-step explanation:
Convert everything to decimals for ease of comparison.
0.075 ⇒ Leave as is.
75% ⇒ Divide by 100 to make it a decimal number.
= \(\frac{75}{100}\)
= 0.75
3/4 ⇒ Divide the numerator by the denominator.
= 0.75
Put them in order of place value:
Units tenths hundredths thousandths
0. 0 7 5
0. 7 5
0. 7 5
By comparing the numbers, we can put them in the following order from least to greatest:
0.075, 75%, 3/4
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Is 0 a solution to -7(x+5)=-14
Answers
We move all terms to the left:
-7(x+5)-(-14)=0
We add all the numbers together, and all the variables
-7(x+5)+14=0
We multiply parentheses
-7x-35+14=0
We add all the numbers together, and all the variables
-7x-21=0
We move all terms containing x to the left, all other terms to the right
-7x=21
x=21/-7
x=-3
help from a website
Simplify the equation.
Answers
Answer:
3y⁵√2
Step-by-step explanation:
Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up?
d. What is the probability that the professor shows up?
Answers
a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.
b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25
c) The probability that between one and three students show up = 0.7
d) The probability that the professor shows up = 0.20
First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.
x p(x)
0 0.20
1 0.25
2 0.30
3 0.15
4 0.10
The probability histogram of this data is shown below.
The probability that at least two students show up would be,
P(x ≥ 2) = p(2) + p(3) + p(4)
P(x ≥ 2) = 0.30 + 0.15 + 0.10
P(x ≥ 2) = 0.55
Now the probbability that more than two students show up:
P(x > 2) = p(3) + p(4)
P(x > 2) = 0.15 + 0.10
P(x > 2) = 0.25
The probability that between one and three students show up would be:
P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)
P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15
P(1 ≤ x ≤ 3) = 0.7
And the probability that the professor shows up would be: p = 0.20
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What property is used in the second step of solving the inequality below?
5x-9<91
5x <100
x <20
A) identity property
B) addition property
C) multiplication property
D) transitive property
Answers
In the second step of solving the inequality 5x - 9 < 91, the property used is the addition property of inequalities.
This property states that adding the same value to both sides of an inequality does not change the inequality's direction. By adding 9 to both sides of the inequality, we aim to isolate the variable term. The inequality becomes 5x < 100.
The addition property allows us to perform this operation and maintain the validity of the inequality. It is a fundamental property in solving inequalities, enabling us to simplify and manipulate expressions.
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A group of 24 students have recess together. They are making teams to play a game. Each team has to have exactly 5 players, and no one can be than one team. How many teams can they make? ( it is possible that not everyone can be on a team.)
Answers
This is because 5*5 is 25 but they don’t have 25 players so you would have to go down which is 4*5=20. Sorry if that’s very confusing but hope that helps!
the amount of food prepared for a catered event depends on the number of people attending. which variable is the explanatory variable? [1 point]
Answers
The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.
One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.
In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.
Therefore, the required answer is the number of people attending.
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Solve the simultaneous equations 3x-2y=-5
2x-4y= 2
Can you also explain how to do it please
Answers
Answer:
y = 1
x = 3
Step-by-step explanation:
First, try to eliminate one of the variables.
Steps:
1) 3x - 2y = -5
-
2x - 4y = 2
2) (3x - 2y = -5)*2
-
(2x + 4y = 2)*3
3) 6x - 4y = -10
-
6x + 12y = 6
#subtract and you will get -16y = -16
4) -16y = -16
= y = -16/-16
= y = 1
5) substitute the value of y...
2x - 4y = 2
2x - 4*1 = 2
2x - 4 =2
2x = 2 + 4
2x = 6
x = 6/2
x = 3
Hope you find it helpful...
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a sample of 1500 computer chips revealed that 69% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature claimed that 72% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.05 level to dispute the company's claim? state the null and alternative hypotheses for the above scenario.
Answers
At a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.
What is the null hypothesis in statistics?
The null hypothesis in inferential statistics states that two possibilities are the same. The null hypothesis states that the observed difference is solely due to chance. The likelihood that the null hypothesis is true can be calculated using statistical tests.
Sample size, n =1500
The sample proportion of the chips that do not fail in the first 1000 hrs of their use, \(\hat{p} = 0.69\)
Null Hypothesis, H0: p=0.72
Alternate Hypothesis, \(Ha: p \neq 0.72\)
Test statistic,
\(z= \frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} - \frac{0.69-0.72}{\sqrt{\frac{0.72(1-0.72)}{1500}}} = -2.5877\)
Critical Value,
\(Z_{0.05/2} =\)±1.96
Now, since the absolute value of the test statistic i.e, 2.5877 is greater than the absolute value of the critical value i.e, .1.96, thus we will reject the null hypothesis.
Thus at a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.
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( 9 times 10 to the power of -7) (5 times 10 to the power of -4)
Answers
5 x 10^-4 = 1/2000
given the finite sequence x[n] = {1 3 6}, starts at n = 0. show how you could find the sum (i.e.,10) using the integrator/accumulator function in the z-domain.
Answers
To find the sum of a finite sequence using the integrator/accumulator function in the z-domain, we can follow these steps:
1. Given the finite sequence x[n] = {1, 3, 6}, where n starts at 0.
2. We need to convert the sequence from the time domain to the z-domain. In the z-domain, the sequence will be represented by a z-transform.
3. The z-transform of a sequence x[n] is defined as X(z) = Σ(x[n] * z^(-n)), where Σ represents the summation from n = -∞ to n = ∞.
4. In our case, the sequence x[n] starts at n = 0. Therefore, we need to rewrite the z-transform formula by shifting the index appropriately.
5. Shifting the index by k = 0, we have X(z) = Σ(x[n] * z^(-n)) = Σ(x[k] * z^(-k)), where Σ represents the summation from k = 0 to k = ∞.
6. Plugging in the values of the sequence x[k] = {1, 3, 6}, we have X(z) = 1 * z^0 + 3 * z^(-1) + 6 * z^(-2).
7. To find the sum of the sequence, we need to evaluate the z-transform at z = 1. In other words, we substitute z = 1 in X(z).
8. Evaluating X(z) at z = 1, we have X(1) = 1 * 1^0 + 3 * 1^(-1) + 6 * 1^(-2).
9. Simplifying the expression, we get X(1) = 1 + 3 + 6 = 10.
10. Therefore, the sum of the given finite sequence x[n] = {1, 3, 6} is 10 when evaluated using the integrator/accumulator function in the z-domain.
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Which of the following best describes the expression 7(y + 5)?
а
The sum of two constant factors seven and five plus a variable
b
The product of two constant factors seven and five plus a variable
Oc
The sum of a constant factor of five and a factor with the product of two terms
Od
The product of a constant factor of seven and a factor with the sum of two terms
Answers
Answer:
d The product of a constant factor of seven and a factor with the sum of two terms
Step-by-step explanation:
It's a product, and one of the factors is 7.
Answer:
d The product of a constant factor of seven and a factor with the sum of two terms
Given f(x,y) = x²y-3xy³. Evaluate 14y-27y3 6 O-6y³ +8y/3 ○ 6x²-45x 4 2x²-12x 2 fdx
Answers
We are given the function f(x, y) = x²y - 3xy³, and we need to evaluate the expression 14y - 27y³ + 6 - 6y³ + 8y/3 - 6x² + 45x - 4 + 2x² - 12x². This is the evaluation of the expression using the given function f(x, y) = x²y - 3xy³. The result is a polynomial expression in terms of y and x.
To evaluate the given expression, we substitute the values of y and x into the expression. Let's break down the expression step by step:
14y - 27y³ + 6 - 6y³ + 8y/3 - 6x² + 45x - 4 + 2x² - 12x²
First, we simplify the terms involving y:
14y - 27y³ - 6y³ + 8y/3
Combining like terms, we get:
-33y³ + 14y + 8y/3
Next, we simplify the terms involving x:
-6x² - 12x² + 45x + 2x²
Combining like terms, we get:
-16x² + 45x
Finally, we combine the simplified terms involving y and x:
-33y³ + 14y + 8y/3 - 16x² + 45x
This is the evaluation of the expression using the given function f(x, y) = x²y - 3xy³. The result is a polynomial expression in terms of y and x.
In summary, we substituted the values of y and x into the given expression and simplified it by combining like terms. The resulting expression is a polynomial expression in terms of y and x.
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PLS HELP ASAP
Given that r||s and q is a transversal, we know that ∠3 ≅ ∠6 by the
Answers
Answer:
\(\displaystyle alternate\:interiour\:angles\:theorem\)
Step-by-step explanation:
Alternate means they are on OPPOSITE sides diagonal from each other, and interiour is self-explanatory, so you can see what the answer is from here.
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Let F=⟨2y,−2x,sin(xyz)⟩ and let S be the portion of the paraboloid z=2−4x ^2 −4y ^2
,z≥1, oriented upward. Use Stokes' Theorem to evaluate ∬ S
curlF⋅dS=∫ 0 to 2π
Answers
The boundary curve C is a circle in the xy-plane with radius 1. Evaluating the line integral over C yields the result ∫0 to 2π 2 dθ = 4π.
Stokes' Theorem relates the surface integral of the curl of a vector field over a surface to the line integral of the vector field around the boundary curve of that surface. Mathematically, it can be stated as ∬S curl F ⋅ dS = ∫C F ⋅ dr.
In this problem, the given vector field is F = ⟨2y, -2x, sin(xyz)⟩ and the surface S is the portion of the paraboloid z = 2 - 4x^2 - 4y^2 with z ≥ 1. To apply Stokes' Theorem, we need to find the curl of F, which is given by:
curl F = (∂F₃/∂y - ∂F₂/∂z, ∂F₁/∂z - ∂F₃/∂x, ∂F₂/∂x - ∂F₁/∂y)
= (0 - (-sin(xyz)), 0 - 0, -2 - 2)
= (sin(xyz), 0, -4)
The surface S is a paraboloid with z ≥ 1, which means it lies above the xy-plane. The boundary curve C of S is a circle in the xy-plane with radius 1.
To evaluate the line integral ∫C F ⋅ dr, we parameterize the boundary curve C as r(t) = ⟨cos(t), sin(t), 1⟩, where t ranges from 0 to 2π. Substituting this into F, we get F(r(t)) = ⟨2sin(t), -2cos(t), sin(cos(t)sin(t))⟩.
Next, we calculate dr = r'(t) dt = ⟨-sin(t), cos(t), 0⟩ dt, and compute F ⋅ dr as:
F ⋅ dr = ⟨2sin(t), -2cos(t), sin(cos(t)sin(t))⟩ ⋅ ⟨-sin(t), cos(t), 0⟩ dt
= -2sin²(t) - 2cos²(t) dt
= -2 dt
Integrating F ⋅ dr over the parameter range 0 to 2π, we obtain ∫0 to 2π -2 dt = -2[0 to 2π] = -2(2π - 0) = -4π.
Therefore, the value of the surface integral ∬S curl F ⋅ dS is -4π.
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A bike has a radius of 12 inches find the circumference of the bike tire
Answers
Answer: The answer is 37.7
Step-by-step explanation: 2 x 3.14 x 6
2 times pi/3.14 times half of the diameter, which is 6.
Bill started west on road u. S. 50, riding a bicycle at an average rate of 9 mph. Four hours later charles started after bill on a motor cycle and overtook him in 2 hours. What was charles' rate? which equation could be used to solve for charles' rate if it is represented by x? 6 x = 54 2 x = 54 2 x = 36.
Answers
The equation could be used to solve for charles' rate if it is represented by x is 2x=54.
In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.
Bill riding a bicycle at an average rate of 9 mph.
Charles' rate is x.
So the relative rate = x−9 mph
Distance traveled by Bill in 4 hours = 9*4 =36 mph
Charles' overtook Bill in 2 hours. So
Relative Rate = Distance/Time
x−9=36/2
Multiply by 2 on both side. We get
2(x−9)=36
Simplifying
2x−18=36
Add 18 on both side, we get
2x=36+18
2x=54
Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.
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a+history+test+has+30+questions.+a+student+answers+90%+of+the+questions+correctly.+how+many+questions+did+the+student+answer+correctly?
Answers
The student answered 27 out of 30 questions correctly on the history test, achieving a 90% accuracy rate.
To calculate the number of questions the student answered correctly, we can multiply the total number of questions (30) by the percentage of questions answered correctly (90%). The calculation is as follows:
Number of questions answered correctly = Total number of questions × Percentage of questions answered correctly
= 30 × 0.90
= 27
Therefore, the student answered 27 questions correctly on the history test.
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The population in a small town is increasing annually by 2.8%. What is the quarterly rate of population increase?
Answers
Answer:
To find the quarterly rate of population increase, we first need to find the annual rate of population increase in decimal form, which is 2.8% expressed as 0.028.
To find the quarterly rate, we need to divide the annual rate by 4, since there are 4 quarters in a year:
0.028 / 4 = 0.007
Therefore, the quarterly rate of population increase is 0.007 or 0.7%
\( {3x}^{2} - 3x - 5 = 0\)
Answers
also identify which one is a,b and c
ax^2 + bx + c
![[tex] {3x}^{2} - 3x - 5 = 0[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/GdtgaUlcZiI1LoPrsKn0hSa3oqzRMhTr.png)
Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?
Answers
Answer:
Maria: (50 bulbs)/(2 hours) = 25 bulbs/hour
Lois: (45 bulbs)/(3 hours) = 15 bulbs/hour
Together: 25 + 15 = 40 bulbs/hour
(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours
(3/4 hours)(60 minutes/hour) = 45 minutes
Total time: 3 hours 45 minutes
use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3
Answers
Answer:
Approximate solution is 541.
Step-by-step explanation:
y' = 2xy, Δx = 0.4.
Make a table:
x y y' y' Δx + y
1 2 4 4*0.4 + 2 = 3.6 <---this is the new y value.
1.4 3.6 10.08 7.632
1.8 7.632 27.48 18.624
2.2 18.624 81.95 51.70
2.6 51.70 268.85 159.24
3 159.24 955.44 541.4
there are 16 animals in the field. some are buffalo and some are ducks. there are 56 legs in all. how many of each animal are in the field?
(System of equations, solve algebraically, number of buffalos, number of ducks)
Answers
Answer:
There would be 12 buffalos and 4 ducks.
Step-by-step explanation:
Formula:
Buffalos = 4 legs
Ducks = 2 legs
16 animals in total.
56 legs in total.
_________________
So, in order to find this answer, we need to multiply/divide (whichever way is easier for you) the buffalos as high as possible to 56, without actually getting to 56.
56 divided by 4 = 14.
Now, this is too close, so we need to go down 1 more than this because it has too many legs:
52 divided by 4 = 13.
(52 because 56 - 4 = 52).
Now, we have 13 buffalos with 4 more legs to choose from. Which does not work because ducks have 2 legs, which 13 + 2 = 15, which is not 16. Let's go down 4 more:
48 divided by 4 = 12
Now, we have 12 buffalos with 48 legs.
56 - 48 = 8. So, we need 8 more legs, in which we need to use ducks:
8 divided by 2 = 4 ducks
12 buffalos + 4 ducks = 16 animals!!!!
We did it!
There would be 12 buffalos and 4 ducks.
Check your answer:
12 x 4 = 48.
4 x 2 = 8
48 + 8 = 56.
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Help me please. THE SCREENSHOT HAS THE QUESTION!!!
Answers
Answer:
The answer is B.
Step-by-step explanation:
Remove the (unnecessary) parentheses then calculate the product.
9x^2y^3×12x^-3y^5×2xy= 216y⁹
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how many permutations can be made with the letters in the word Metallica
Answers
===============================================
Explanation:
There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.
We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.
Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.
The sum of two numbers is 78. Their difference is 32. Write a system of equations that describes this situation. Solve by elimination to find the two numbers. x + y = 32 y – x = 78 50 and 24 x – y = 78 x + y = 32 54 and 24 x + y = 78 x – y = 32 55 and 23
Answers
Answer:
55, 23, x+y =78; x-y =32
Step-by-step explanation:
-the system of equation
x+y = 78
x-y = 32
-solve by elimination
x-y = 32, add y to both sides
x= y+32
x +y =78, substitute x= y+32
y+32+y = 78, subtract 32 from both sides
y+y = 78-32, combine like terms
2y = 46, divide both sides by 2
y = 23
x +y =78, substitute y = 23
x+ 23 =78, subtract 23 from both sides
x = 78-23, combine like terms
x = 55
Answer:
The equation:
x + y = 78
x - y = 32
The answers:
x= 55
y = 23
Step-by-step explanation:
Call the first number (x) and the second number (y). Take is as a given that (x) is larger than (y). One is given the following information:
"The sum of two numbers is 78"
"Their difference is 32"
Rewrite this in numerical terms:
x + y = 78
x - y = 32
The process of elimination is a way of solving a system of equations. First one manipulates one of the equations such that one variable has an inverse coefficient of its like term in the other equation. This step one does not need to be performed, as the coefficients of the term (y) are inverses in the equations. Next, one adds the equations. Then one uses inverse operations to solve for the remaining variable. Finally, one back solves for the value of the eliminated variable by substituting the value of the solved variable into one of the equations, and simplifying.
Add the equations,
x + y = 78
x - y = 32
____________
2x = 110
Inverse operations,
2x = 110
x = 55
Back solve,
x + y = 78
x = 55
55 + y = 78
y = 23
If you can run 3 3/4 miles in 40 minutes, how far can you run in 2 hours? Fill in the ratio table to help you solve the problem. (if your answer is a mixed number it must be typed in improper form)
Answers
Answer:
11 1/4 miles
Step-by-step explanation:
ok so if you have 3 and 3/4 miles in 40 minutes and you're trying to figure out how far u can run in 2 hours then you would
first breakdown 2 hours into 120 minutes then you would divide 120 by 40 to find the ratio so you can get 3
Then you would multiply 3 and 3/4 miles by 2 to finish the second part of the chart (7 1/2)
and for the final answer, you would multiply 3 and 3/4 by 3 to get, 11 and 1/4.
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Find x and y (please quick will give brainliest)
Answers
Answer:
x=32, y=64
Step-by-step explanation:
I have no clue how to explain this
The transformation which will map triangle PQR onto P'Q'R is
Answers
Given:
The graph of triangle PQR and triangle P'Q'R'.
To find:
The transformation that will map the triangle PQR onto P'Q'R'.
Solution:
From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.
The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.
This is possible it the figure is rotated 180 degrees about the origin.
Therefore, the correct option is A.
determine whether the statement is true or false. if f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
Answers
The given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
Declining Function: A function f is said to be decreasing on an interval I if for any two values x₁ and x₂ in I, with x₁ < x₂, then f (x₁) > f (x₂).
Since f '(x) < 0 for 7 < x < 10, it implies that the slope of the tangent line to the curve at every point in the interval (7,10) is negative. That means the graph of f is declining in that interval.
Therefore, the given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
This is because a negative first derivative, f'(x), indicates that the function is decreasing. The fact that f'(x) < 0 for all values of x in the given interval (7, 10) implies that the function is continuously decreasing throughout that interval.
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