Answer:
A) 6, 7, 7, 8, 9
Step-by-step explanation:
Median: the middle number in a data set
Mode: the number that appears most frequently in a data set
Choices:
A) 6, 7, 7, 8, 9
B) 2, 2, 3, 4, 6
C) 3, 4, 6, 7, 8
D) 3, 3, 4, 5, 5
A) 6, 7, 7, 8, 9
Median: 7
Mode: 7
B) 2, 2, 3, 4, 6
Median: 3
Mode: 2
C) 3, 4, 6, 7, 8
Median: 6
Mode: 3, 4, 6, 7, 8 <== as they all appear once
D) 3, 3, 4, 5, 5
Median: 4
Mode: 3 and 5
Therefore, the correct answer is A, as it has a median and mode of 7.
Hope this helps!
Why is FOQZ the odd one out in
these sets of letters?
BCDEGPTV AJK FOQZ IY
The odd one out in the set is "FOQZ." It deviates from the pattern by the other sets, where the letters are arranged in Alphabetical order.
The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.
In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.
Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.
It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.
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The diameter of a circle is 8cm. Find its circumference to the nearest tenth.
Answer:
\(C = 25.1 \text{ cm}\)
Step-by-step explanation:
We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:
\(C = \pi d\)
Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).
↓ plugging in the given radius
\(C = 8\pi \text{ cm}\)
↓ rounding to the nearest tenth
\(\boxed{C = 25.1 \text{ cm}}\)
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
Task 3: Solve the following quadratic equation by extracting the square root.
Given -
(2s - 1)² = 225
To Find -
s =?
Step-by-Step Explanation -
(2s - 1)² = 225
Now, on removing square =
(2s - 1) = √225
2s - 1 = 15
2s = 15 + 1
2s = 16
s = 16/2
s = 8
Final Answer -
s = 8
i have been struggling with this can someone solve it for me please 20 points
\(\textit{area of a circular disk}\\\\ A=\pi (R^2-r^2) ~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=10.5\\ r=7.5 \end{cases}\implies \begin{array}{llll} A=\pi (10.5^2-7.5^2) \\\\\\ A=\pi (110.25-56.25) \\\\\\ A=54\pi \implies A\approx 170~m^2 \end{array}\)
The perimeter of a rectangle is 52 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 120 square feet. I need to find the solution set for this.
Answer:
2x+2y=52
x*y=120
Step-by-step explanation:
A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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Find the value of x for which the lines rand s are parallel.
Answer:
x = 12
Step-by-step explanation:
<1 and the 142-deg angle are vertical, so m<1 = 142 deg
The angle measuring 3x + 2 and <1 are same-side interior angles. If the lines are parallel, then those two angles are supplementary.
3x + 2 + 142 = 180
3x + 144 = 180
3x = 36
x = 12
Choose the number that belongs to the set described
Answer:
Natural numbers,integers, rational numbers, irrational numbers.
What is the value of x? 8 82 98 172
Answer:
its 82
Step-by-step explanation:
The value of x is 98°. Therefore, option C is the correct answer.
In the figure, given two angles 82° and 98°.
What are corresponding angles?The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
We know that corresponding angles are congruent.
From the given figure x = 98°
The value of x is 98°. Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Lines a and b are parallel and lines e and f are parallel.
What is the value of x?
8
82
98
172
What is the coefficient in the following expression?
5a2 - 7
Answer:
5 is the coefficient
Step-by-step explanation:
Evaluate ab-c, if a = 7,b = 8, and c = 12
Answer:
44
Step-by-step explanation:
axb=56
56-c=44
Write 362000 in standard form.
Answer:
3.62 × 105...
Step-by-step explanation:
mark me as a brainlist
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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At the movies, Jill and Carly each buy abox of gummy candy. Carly eats 3 gummiesevery 15 minutes during the movie. Thenumber of gummies Jill has left based on theamount of time is shown in the graph below.mileat.
The rate of eating gummies for Carly is:
\(\frac{3gummy}{15\min}=\frac{1gummy}{5\min }\)In the graph we can see the rate of Jill, she started with 20 gummies, and after 30 minutes she had 16 gummies left. It means she ate 20-16=4 gummies in 30 minutes, thus the Jill's rate is:
\(\frac{4gummies}{30\min}=\frac{2gummies}{15\min }\)If we compare both rates, in 15 minutes Carly ate 3 gummies and Jill ate 2 gummies, so, Carly is eating the gummies at a faster rate than Jill.
what is this solution to the problem of ? 12÷132
Answer:
0.090909
Step-by-step explanation:
I used a calculator
Please help me answer this question, thanks!
The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.
To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.
The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.
The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -A and b = 250. Plugging in these values, we get:
x = -250 / (2 * (-A))
= 125 / A
To find the maximum revenue, we substitute this value of x into the revenue equation:
R = -A * (125 / A)^2 + 250 * (125 / A)
= -A * (15625 / A^2) + (31250 / A)
= -15625 / A + 31250 / A
= 15625 / A
The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.
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how many do they have
Answer:
333
335
355
555
533
553
353
535
so I think 8
Which of the following sequences represents a geometric sequence?
A. 0, 2, 4, 6, ...
B. 1,4, 9, 16,
C. -3, -6, -12, -24,
D. -1,2,5,8,
Answer:
D
Step-by-step explanation:
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Which expression represents the width of the framed picture?
Answer:
2x+8
Step-by-step explanation:
doing it on edg rn and the next questions answer is 8x+36
Answer: 2x+8
Step-by-step explanation:
Solve 7+X - 15 = -2 2/3
5 1/3
10 2/3
20 2/3
6 1/3
Answer:
solve 7+x-15=-2 2/3
Step-by-step explanation:
7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?
Answer: Letter B)
A=πr2
d=2r
A=1
4πd2=1
4·π·162≈201.06193
Step-by-step explanation:
Hope this Helps! : )
B
Your answer is B, your welcome.
What is a requirement of supplementary angles
Answer:
They both need to add up 180 degreesStep-by-step explanation:
Answer:
Supplementary angles are angles that add up to 180° so they need to add up to 180 degrees.
Step-by-step explanation:
The House of Pizza say that their pizzas are 14 inches wide, but when you measured it, the pizza was 12 inches. What is your percent error? Make sure to include your percent sign! (Round to 2 decimals)
The percent error of the house of the pizza would be 2.
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.
We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.
WE know that Error = Actual value - Estimated value
Then Error = 14 - 12 = 2
Therefore, the percent error would be 2.
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After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases
4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals
for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is
$85. What is the cost of each item?
The cost of a t-shirt is $25, the cap costs $20 and the stuffed animal costs $15
Let t-shirts be represented by x, the cap is represented by y and stuffed animals are represented by z
Items purchased by family:
4 t-shirts + 1 cap + 1 stuffed animal
The total cost of the items was = $135
Equation: 4x+y+z=135--------(1)
Items purchased by couple 1:
2 t-shirts + 1 cap + 3 stuffed animals
The total cost of the items was = $115
Equation: 2x+y+3z=115------(2)
Items purchased by couple 2:
2 t-shirts + 1 cap + 1 stuffed animals = $85
Equation: 2x+y+z=85------(3)
Subtracting equation (3) from (2) we get:
2z = 30
z = 15
Substituting the value of z=15 in equations (1) and (3) we get the following equations:
4x+y+15=135
4x+y=120------(4)
And, 2x+y+15=85
2x+y=70-------(5)
Multiplying equation (5) with 2 and subtracting equation (4) we get:
4x+2y=140
4x+y=120
y = 20
So, x = 25
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I need this please help me
Emma wrote thirty-six thousand,forty-two as 3,642. Explain what she did wrong. Then write the number correctly
Answer:
she forgot to Putin a 0 for example
36,042
find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 1 + 10. Vt, y+t^5 -t, and z + t^5 + t; (11, 0, 2)?
Dy/dx = (dy/dt)/(dx/dt) denotes the slope of the tangent line of a parametric curve whose parametric equations are x = /(t) and y = g(t). Wherever dy/dt is zero and dx/dt is zero, a parametric curve has a horizontal tangent.
What is the formula for parametric equations?The x and y coordinates are defined as functions of t when parametric form is used to represent angles: Plot the entire circle by using the equations x = r cos t and y = r sin t. Polar equations are the name given to these parametric equations.
The given x=1+12+ dx=dt 0+12(1) =12
Parametric y Curve is as follows: ts-t dy 5t-1 dt z = ts+t dz dt 5t +1 (dz, dy, dz) = (12, 5t-1, St+1) dt 7 dt dt x = 13 =) When, 1+12 t = 13 12
(x(t), y(t), and z(t)) = (13,0,2) + + (12, 4, 6) x(t), y(t), and 2(t)) = (13+12t, ut, 2+ 6+) x(t) = 13+12t, y(t) = ut, 2(t).
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Full Question = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.
x = 1 + 12 t , y = t5 − t, z = t5 + t; (13, 0, 2)
x(t), y(t), z(t) =
researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7. hours of studying exam grade 1 55 3 75 4 80 3 85 6 99
The t-test value for the given collected data of hours of studying and exam grade is equal to 10.45.
As given in the question,
n = 5
Mean of the data ( time ) μ₁ = ( 1+ 3 + 4 + 3+ 6)/ 5
= 3.4
Mean of the exam grade μ₂ = ( 55 + 75 + 80 + 85 + 99) / 5
= 78.8
Standard deviation of time σ₁ = 1.82
Standard deviation of exam grade σ₂ = 16.04
Standard error of time = σ₁/√n
= 1.82 / √5
=0.81
Standard error of time =σ₂/√n
= 16.04/ √5
=7.17
Difference in mean of time and exam grade = 78.8 - 3.4
= 75.4
Standard error of difference 'S.E'= √ (0.81)² + (7.17)²
= 7.215
t - test for the given data
= | μ₁ - μ₂| / S.E.
= | 3.4 - 78.8| / 7.215
= 75.4 / 7.215
= 10.45
P value and statistical significance:
Two-tailed P value is smaller than 0.0001
Therefore, the t-test value for the given collected data is equal to 10.45.
The above question is incomplete , the complete question is:
Researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7.
hours of studying exam grade
1 55
3 75
4 80
3 85
6 99
Calculate the t -test and interpret the data?