\(Q_3-Q_1=Q_i\)Answer:
The answer is 10. Frank has done more than Marquis by10.
Step-by-step explanation:
From the internet, the interquartile is Q_3-Q_1=Q_inter
From Marquis his Q_3 = 40 and Q_1 = 20
\(Q_3-Q_1=Q_i\)
40-20=20
From Frank his Q_3 = 40 and Q_1 = 10
\(Q_3-Q_1=Q_i\)
40-10=30
Frank's interquartile is 30 and Marquis interquartile is 20.
Differences between the both of them.
30-20=10
If 72 x 96 = 6927, 58 x 87 = 7885, then 79 x 86 = ?
79 x 86 is equal to 6,794.
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Have a great day!
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
an unreliable study can occur if the . a. survey is very clear b. survey yields consistent results c. test administration is inconsistent
An unreliable study can occur if the test administration is inconsistent
Consistency is the key to success in anything and it implies to the studies and surveys as well. If you want the results of the study to be reliable, then you must be consistent in test administration.
Inconsistency can lead to various issues like improper representation of the feedback which may alter the results. This can lead to various problems.
For example, test performed at certain time may have a different set of people and absence of periodic tests can accommodate feedback from irrelevant people.
Therefore, a proper set schedule must be followed for the tests with consistency.
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Which value of x solves the equation cos x° = sin (20° + x°), where 0 < x < 90?
sin x = cos (90 - x) or cos x = sin (90 - x)
This identity holds when the two angles are complementary
i.e. they sum up to 90 degrees.
The value of x is 35°
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
cos x° = sin (20° + x°), where 0 < x < 90
We know that,
sin x = cos (90 - x) or cos x = sin (90 - x)
This identity holds when the two angles are complementary
i.e. they sum up to 90 degrees.
x + 90 - x = 90
Now,
cos x = sin (20 + x)
x + 20 + x = 90
2x + 20 = 90
2x = 70
x = 35
Thus,
The value of x is 35°
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Distance (ft.)
Daniela
Kayla
me (sec.)
Kayla and Daniela started walking at constant speeds.
After 3 seconds:
-Kayla walked 6 feet.
• Daniela walked 12 feet.
Label each graph with the name it represents.
Then write an equation for Kayla's walk. Use d for
distance and t for time.
Daniella's graph is the first from the left and Kayla's is the other. Kayla's walk can be represented as ; d = 2t
Given that after 3 seconds:
distance walked by Kayla = 6 feets distance walked by Daniela = 12 feetsThis shows that the speed at which Daniela walked is faster than that of Kayla. Hence, the line with the steepest slope represents Daniela's movement.
Hence, Daniela's graph is the first from the left while Kayla's is the other.
2.)
Kayla's walk can be expressed mathematically as :
d = distance; t = timed = 6 feets ; t = 3 seconds
Walking speed = distance/ time
Walking speed = 6/3 = 2 ft/sec
Hence, Kayla's walk ;
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solve the equation
pic:
The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891
How to solve the equationFrom the question, we have the following parameters that can be used in our computation:
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)
Using the following trigonometry ratio
sin²(x) + cos²(x) = 1
We have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)
The sum to infinity of a geometric series is
S = a/(1 - r)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)
Evaluate the sum
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)
This gives
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)
Hence, the solution to the equation is 10.3891
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for f− f − , enter an equation that shows how the anion acts as a base. express your answer as a chemical equation. identify all of the phases in your answer.
The anion acts as a base as shown by the equation below:As a base, an anion is a compound that accepts a hydrogen equation ion (H+),
thus, the equation for f− acting as a base can be given as:F⁻ + H₂O ⟷ OH⁻ + HF (aq)The phases in this equation are aqueous (aq), and as such, can be represented as:F⁻(aq) + H₂O(l) ⟷ OH⁻(aq) + HF(aq)Note that the reversible arrow (↔) indicates that the reaction is not complete and can proceed in either direction, depending on the conditions of the reaction.
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ayudaaaaaa porfissssssd
Answer:
yo thats pretty pog ngl
Step-by-step explanation:
esnjogjdrgjsrknfseoikngsdbngdmhg
answer:
a) 9
b) 12
c) -18
d) 8
e) -7
f) 0
g) -7
h) 24
Mia is saving up to buy a new video game. She has $10 saved so far, and she can save $2 from her allowance each week. How long will it take her to save up the $28 she needs? write an equation and solve.
Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length (1p 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. To the nearest hundredth, find the search area.
a. 2.08 mi²
b. 2.97 mi²
c. 1.49 mi²
d. 1.04 mi²
Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length (1p 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. The search area is approximately 1.49 mi².
The search area of the sunken ship can be found by using the formula for the area of a triangle, which is given by A = (1/2) * a * b * sin(C), where a and b are the lengths of the adjacent sides of the triangle, and C is the angle between those sides.
Given that the adjacent sides have lengths of 1.75 miles and 1.32 miles, and the angle between them is 35°, we can substitute these values into the formula: A = (1/2) * 1.75 * 1.32 * sin(35°)
Evaluating the expression:
A ≈ (1/2) * 1.75 * 1.32 * 0.5736
A ≈ 1.493 mi²
Rounding the result to the nearest hundredth, the search area of the sunken ship is approximately 1.49 mi².
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Please help, I can’t figure this out
Answer:
x=15°, ∠A=75°, ∠B=60°, ∠C=45°
Step-by-step explanation:
As we know that sum of the angle of a triangle is 180°
Therefore ∠A+∠B+∠C=180°
5x+4x+3x=180° { ∵ ∠A=5x ∠B=4x ∠C=3x }
⇒ 12x=180°
⇒ x=15°
Hence ∠A=5x=5×15°=75°
∠B=4x=4×15°=60°
and ∠C=3x=3×15°=45°
to verify your answer 75°+60°+45°=180°
Solve the proportion.3/4=v/14
Answer:
10.5
Step-by-step explanation:
Convert 5 km 36 m into km
Answer:
5.036 km
Step-by-step explanation:
36 m ÷ 1000 = 0.036 km
5 km + 0.036 km = 5.036 km
simplify the following expression by combining like terms. select the most simplified expression: 2w +5w-6+4w
Answer:
Step-by-step explanation:
2w+5w-6+4w
=10w+4w-6
=14w-6
=2(7w-3)
Answer:
\(11w - 6\)
Step-by-step explanation:
\(2w + 5w + 4w = 11w\)
\(11w - 6\)
(2x^2)^3(-x^4)
can somebody please help me on this
Answer:
\(({2x}^{2} )^{3} \times ( - {x}^{4} )\)
\( {2x}^{6} \times ( - {x}^{4} )\)
\( - {2x}^{6 + 4} \)
\( - {2x}^{10} \)
hope it helps you :)
How much time a sum of rs 9400 will take to become 10951.8f the sum is invested 3 2/ 3 p.a?
It will take approximately 427 months or 35 years and 7 months for a sum of Rs. 9400 to become Rs. 10951.8 at the rate of 3 2/3% per annum.
Let the principal amount be Rs. 9400, rate of interest be 3 2/3 % per annum and the final amount be Rs. 10951.8
To find: The time required to become Rs. 10951.8
Step 1: Calculation of Interest:
Earned interest = Final amount - Principal amount = Rs. 10951.8 - Rs. 9400 = Rs. 1551.8
Step 2: Calculation of Time:
Time = (100 * Earned interest) / (Principal * Rate * 12/100)
Here, Principal = Rs. 9400,Rate = 3 ,2/3% per annum = (11/3)% per annum,
Time = (100 * 1551.8) / (9400 * (11/3) * 12/100)
= 100 * 1551.8 / 9400 * 11/3 * 12/100
= 15518 / 3636
= 15518/3636*100/100
= 426.906 or 426.91
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Amstat News (December 2004) lists median salaries for associate professors of statistics at research institutions and at liberal arts and other institutions in the United States. Assume a sample of 200 associate professors from research institutions having an average salary of $70,750 per year with a standard deviation of $6000. Assume also a sample of 200 associate professors from other types of institutions having an average salary of $65,200 with a standard deviation of $5000. Required:
Test the hypothesis that the mean salary for associate professors in research institutions is $2000 higher than for those in other institutions
To test the hypothesis that the mean salary for associate professors in research institutions is $2000 higher than for those in other institutions, we can perform a two-sample t-test.
The null hypothesis is that the difference in means is not significantly different from $2000, while the alternative hypothesis is that the difference is greater than $2000.
Using the given information, we can calculate the t-statistic as (70750 - 65200 - 2000) / sqrt((6000^2/200) + (5000^2/200)) = 5.39. With 398 degrees of freedom (n1 + n2 - 2), the p-value for this one-sided test is less than 0.0001.
Since this p-value is much smaller than any reasonable level of significance, we reject the null hypothesis and conclude that there is strong evidence that the mean salary for associate professors in research institutions is significantly higher than for those in other institutions by $2000.
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To test the hypothesis that the mean salary for associate professors in research institutions is $2000 higher than for those in other institutions, we can perform a two-sample t-test.
The null hypothesis is that the difference in means is not significantly different from $2000, while the alternative hypothesis is that the difference is greater than $2000.
Using the given information, we can calculate the t-statistic as (70750 - 65200 - 2000) / sqrt((6000^2/200) + (5000^2/200)) = 5.39. With 398 degrees of freedom (n1 + n2 - 2), the p-value for this one-sided test is less than 0.0001.
Since this p-value is much smaller than any reasonable level of significance, we reject the null hypothesis and conclude that there is strong evidence that the mean salary for associate professors in research institutions is significantly higher than for those in other institutions by $2000.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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im not sure how to do this
Step-by-step explanation:
plz make me brainliest ....Find a vector equation with parameter t for the line of intersection of the planes x y z=2 and x z=0.
The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.
To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) = = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.
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Emilia has a bag of number tiles with the numbers 2,4,6, and 8. She randomly takes out one tile, notes the number, and puts it
back into the bag. She does this 20 times. Her results are recorded below.
Number Number of Times Pioked
2.
4
1901
6
8
WL
Select the correct probability model that represents this situation
OB
OA S = (2,4,6,8)
P(2) - 1o, P(a) - PC) . PCB) - %
S = (2,4,6,8)
P(2) = 20 P(a) = P., PC) - 1o, P(8) =
OC. S = {2,4,6,8)
P(2) = Pta) = P. PCO) =
OD, S = 12, 4, 6, 8)
P(2) = 3, P(a) = 7, PC) - B. PE) - 4
Answer:
Answer is C
Step-by-step explanation:
2. Is the following inequality always, sometimes, or never true?
2(3x - 1) +4> 6x + 2
The two sides of an inequality are not the same so inequality can never be true.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that the inequality is 2(3x - 1) +4> 6x + 2. The inequality will be solved as below;-
2(3x - 1) +4> 6x + 2
6x - 2 + 4 > 6x + 2
6x + 2 > 6x + 2
The two sides are equal so inequality can never be true.
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59 tanya prepared 4 different letters to be sent to 4 different addresses. for each letter, she prepared an envelope with its correct address. if the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address? a) 24 1 b) 8 1 c) 4 1 d) 3 1 e) 8
There is a 1 in 4 probability, or 25%, that the envelope will contain just one letter with the proper address.
Tanya wrote four distinct letters that she was going to send to four different addresses. She prepared an envelope with the correct address for each letter. The probability that only 1 letter will be placed into the envelope with the correct address if the 4 letters are randomly placed into the 4 envelopes is
1 in 4, or 25%
(4c4/4c1).
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Complete the steps to find the probability that a randomly chosen point on the triangle is in the shaded rectangle. The area of the triangle is cm2. The area of the rectangle is cm2. The probability that the point is in the shaded area is .
Answer:
150
48
0.32
Step-by-step explanation:
Answer:
The area of the triangle is
✔ 150
✔ 48
✔ 0.32
Step-by-step explanation:
Bret Rockford bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan. At the end of 1 year he owes the bank $70,000. Since then interest rates have increased to 13%. The bank will renew the mortgage at this rate, or Bret can pay the bank $70,000. He decides to renew and will now pay $11.72 monthly per thousand on his loan. (You can ignore the small amount of principal paid during the year.)
The old monthly payment is $
.
The new monthly payment is $
.
The percent increase in her monthly payment (to the nearest tenth) is
%
The old monthly payment was = 10.67 x 70 = 746.9
The new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
Given,
Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan
According to the question:
So, per thousand value of $70,000 is 70000/1000 =70
Now, the old monthly payment was = 10.67 x 70 = 746.9
He decides to renew and will now pay $11.10 monthly per thousand on his loan.
So, the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100
9.8406 % and to nearest tenth it is 9.8406%
Hence, the old monthly payment was = 10.67 x 70 = 746.9
the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
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Suppose int i = 5, which of the following can be used as an index for array double[] t=new double[100]? A. i B. I +6.5 C.1 + 10 D. Math.random() * 100 E. (int)(Math.random() * 100))
The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).
To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :
A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).
B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.
C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.
D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.
E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.
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find the volume and the total surface area of a cuboide whose dimension 2m, 80cm and 60cm
Answer:
Volume= 0.96m^3
TSA= 6.56m^2
Step-by-step explanation:
Given data
Length = 2m
Width= 80cm= 0.8m
Height= 60cm= 0.6m
Volume= L*W*H
Volume= 2*0.8*0.6
Volume= 0.96m^3
TSA=2lw+2lh+2hw
TSA= 2*2*0.8+2*2*0.6+2*0.6*0.8
TSA= 3.2+ 2.4+ 0.96
TSA= 6.56m^2
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Tara and Jane just had business cards made. Tara's printing company charged a one-time setup fee of $10 and then $16 per box of cards. Jane, meanwhile, ordered hers online. They cost $17 per box. There was no setup fee, but she had to pay $6 to have her order shipped to her house. By coincidence, Tara and Jane ended up spending the same amount on their business cards. How many boxes did each buy? How much did each spend?
Tara and Jane each bought _____ boxes of business cards, spending $______
ASAPPP ITS URGENT!
A rectangle whose altitude is 8 km and whose area is 96 km^2 in inscribed in a circle. Find the diameter of the circle.
Assume that ABC is a triangle with AC equal to 20 cm and a certain radius of a circle.
10 cm. A circumcircle is a circle that traverses the vertex points A, B, and C of
the ABC triangle. The circumference of the circle, where AC = 20 cm, indicates that the
The midway of AC is where the circle's circumference lies. , while point B is located on the
diameter of the circle's circumference. Triangle ABC is a right-angled triangle as a result.
Let BC equal y units and AB equal x units at point B. Area of ABC=1/2, ABC=x, and ABC=y/2.or. x.y/2=96or. x.y=192…………(1) (1)AB2+BC2=AC2 in the right-angled triangle ABC.or. x^2+y^2=(20)^2……………(2) (2). adding y=192/x to the equation (1).x^2+(192/x)^2=400x^4+(192)^2–400x^2=0(x^2-200)^2 = (200) (200)^2- (192)^2(x^2-200)^2=(200–192).(200+192)(x^2-200)^2=8×392=(8×7)^2x^2-200=+/-56x^2=200+/-56=256. or 144.16 cm, or 12 cm, for x.
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Slope:
Y-intercept
Equation:
y-intercept: (0,60)
This is given in the table.
Slope: \(m = \dfrac{y_2 - y_1}{x_2 - x_1}\)
Using (1,50) and (2,40):
\(m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10\)
The slope is -10.
Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:
y = -10x + 60