Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.
What are the measures of center?The three typical measures of center are the mean, the median, and the mode.
The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.
The median is the middle value of the data set arranged in descending or ascending order.
The mode refers to the value that occurs most in the data set.
Super Stars66 66 66 = 198
63 63 63 = 189
65 65 65 = 195
64 64 64 = 192
58 58 58 = 174
Total = 948
Mean = 63.2 (948 ÷ 15)
Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)
Champs62 69 65 = 196
68 60 70 = 198
70 58 67 = 195
66 75 70 = 211
69 67 60 = 196
Total = 996
Mean = 66.4 (996 ÷ 15)
Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)
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What’s -35.7 as a mixed number
Answer:
-35.7 as a mixed number is -35 and 7/10.
Answer:
Your answer should be [tex]-35 \frac{7}{10}[/tex]
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.
A rectangular prism with a 3" x 4" base that has a height of 8". SA =
sq. in.
Surface area of a rectangular prism is 136 sq. units.
Length of the base of prism, l = 4 units
Breadth of the base of prism, b = 3 units
Height of the base of prism, h = 8
Surface area of a rectangular prism is given as,
SA = 2(lb + bh + lh)
SA = 2[(4 x 3) + (3 x 8) + (4 x 8)
SA = 136 sq. units
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In the following diagram, ABCDABCD is a square. The coordinates of the vertices A,B,CA,B,C and DD are (3,3),(8,3),(8,8)(3,3),(8,3),(8,8) and (3,8)(3,8) respectively.
The square is dilated from the origin by a factor of 1111 to give A′B′C′D′A′B′C′D′.
What are the coordinates of point C′C′? (NEED THIS ASAP)
Answer:
Step-by-step explanation:
To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.
The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:
x-coordinate of C' = 1111 * 8 = 8888
y-coordinate of C' = 1111 * 8 = 8888
Therefore, the coordinates of point C' are (8888, 8888).
The vertices of SRT are S (1, 4), R (2, 2) and T (1, 3). A reflection across the line _________ [ (A) x = 4, (B) x = 6, (C) y = –x + 5,(D) y = –x + 6] and then across the line _________ [ (A) y = 6, (B) y = 8, (C) y = –x + 10, (D) y = –x + 12] is the same as a translation of 4 units to the right and 4 units up because the lines are _________ [ (A) congruent, (B) parallel, (C) perpendicular, (D) similar].
The given reflection transformation is a rigid transformation, such that the dimensions are preserved
The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;
AB = RS
ΔABC ≅ ΔRST
m∠BAC ≅ m∠SRT
Reasons:
The given parameters are;
Triangle ΔABC is reflected across the line y = 2·x
Given that a reflection is a rigid transformation, we have;
The distance between two points on a preimage is the same as the distance between the corresponding points on the image;
Therefore;
ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;
AB ≅ RS, BC ≅ ST, and AC ≅ RT
m∠BAC ≅ m∠SRT
m∠BCA ≅ m∠STR
m∠BAC ≅ m∠SRT
Therefore;
The true statements are;
AB = RS
ΔABC ≅ ΔRST
Therefore;
m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRST
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complete question:
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Question 3 options:
AB=RS
AB=2RS
ΔABC~ΔRST
△ABC≅ΔRST
m∠BAC=m∠SRT
m∠BAC=2m∠SRT
what concepts of algebra 2 would you use in real life explain your scenario and how the concepts apply and provide a worked example for each concept
There are numerous concepts in algebra 2 that can be applied in real life scenarios. Some of which are linear equations and quadratic functions. The linear equation, for instance, helps to estimate that the cost i.e. of gas for a trip.
What algebra 2 concepts have practical applications in real life?Linear equations can be used in real-life for calculating distances, rates and costs. For instance, during plan for a road trip, it can be used to estimate distance, time it takes to travel, estimated cost of gas etc.
An illustration is when one is planning a road trip from New York to Los Angeles. We can estimate that the distance between the two cities is 2,800 miles and car has average fuel efficiency of 25 miles per gallon.
If gas costs $3.50 per gallon, We can use the linear equation to get the cost of trip which is:
= Distance / Miles per gallon * Price per gallon
= 2,800 / 25 * 3.50
= $392.
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The graph to the right is the uniform probability density function for a friend who is x minutes late:
(a) Find the probability that the friend is between 10 and 30 minutes late.
(b) It is 10 A.M. and there is a 20% probability the friend will arrive within how many minutes?
Based on lofftings research the probability a tp ranked baseball player is left handed is 1 in 3How many lefties would you expect in a group of 15 top ranked baseball players.
The expected number of lefties top ranked baseball players in a sample of 15 top ranked baseball players, obtained from the 1 to 3 ratio of lefties to righties top ranked baseball players is 5 top ranked baseball players
What is a ratio?A ratio is a quantitative comparison between two values that indicates the number of times one quantity is contained in or can contain the other value or quantity.
The ratio or proportion of left handed top ranked baseball players = 1 in 3
Therefore, the ratio of lefties to righties top ranked baseball players = 1 : 3
The number of top ranked baseball players in the sample = 15
The number of the top ranked baseball players in the sample that are left handed is therefore;
Number of left handed baseball players in the sample = (1/3) × 15 = 5
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solve 3(x+4)-11=28 please
Answer:
[tex]\huge\boxed{\sf x = 9}[/tex]
Step-by-step explanation:
Given equation:3(x + 4) - 11 = 28
Add 28 to both sides3(x + 4) = 28 + 11
3(x + 4) = 39
Distribute3x + 12 = 39
Subtract 12 from both sides3x = 39 - 12
3x = 27
Divide both sides by 3x = 27/3
x = 9[tex]\rule[225]{225}{2}[/tex]
The US Fish and Wildlife Service reported that the mean length of a 6 year old trout in the Arolik River in Alaska is 480 and standard deviation of 40 mm. Assume length of trout is normally distributed,
a) Find the 58th percentile of the lengths
The 58th percentile of the lengths is 489.4 mm.
What is the 58th percentile of the lengths?The 58th percentile of the lengths is calculated from normal distribution curve as shown below.
The mean of the distribution is at the 50th percentile.
The 58th percentile is between the mean and 1 standard deviation above the mean.
Mean (50%) = 480 mm
58% = ?
1 standard deviation above the mean (84%)= M + S.D = 480 mm + 40 mm = 520 mm
We are going to interpolate, to find the approximate value of the length.
50 ----- 480 mm
58 ----- ?
84 ------- 520 mm
(58 - 50)/(84 - 50) = (x - 480)/(520 - 480)
0.235(40) = x - 480
9.4 = x - 480
x = 489.4 mm
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Wooden blocks in the shape of
cubes are painted with different
colors. How many square
centimeters will be painted?
4 cm
The total area of all six sides that will be painted on the wooden cube is 96 square centimeters.
First, we need to understand that each cube has six faces or sides, which are all squares of the same size. When we paint the cube, we will be painting all six sides of it. Therefore, we need to find the total area of all six sides that will be painted.
To calculate the area of each side, we need to know the length of the side. You mentioned that the wooden blocks are cubes, so each side will have the same length. Let's say the length of each side is 4 cm.
Now, we can calculate the area of one side of the cube by squaring the length of the side. In this case, the area of one side will be:
Area of one side = (length of side)²
= (4 cm)²
= 16 cm²
Since there are six sides to each cube, we can find the total area of all six sides by multiplying the area of one side by six:
Total painted area = 6 x Area of one side
= 6 x 16 cm²
= 96 cm²
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How do you convert this equation to rectangular form? The answer given in the book is (x-1)^2+y^2=9, but I need steps to show how you arrive at this answer.
The equation r²cos²(θ) - 2rcos(θ) + r²sin²(θ) = 8 to rectangular form is (x - 1)² + y² = 9
Converting the equation to rectangular form?From the question, we have the following parameters that can be used in our computation:
r²cos²(θ) - 2rcos(θ) + r²sin²(θ) = 8
The above equation is in its polar form, where
r² = x² + y²
cos(θ) = x/r
sin(θ) = y/r
Rearrange the terms in r²cos²(θ) - 2rcos(θ) + r²sin²(θ) = 8
So, we have
r²cos²(θ) + r²sin²(θ) - 2rcos(θ) = 8
Factorize
r²(cos²(θ) + sin²(θ)) - 2rcos(θ) = 8
In trigonometry
cos²(θ) + sin²(θ) = 1
So, we have
r² - 2rcos(θ) = 8
Recall that
r² = x² + y²
cos(θ) = x/r
So, we have
x² + y² - 2r * x/r = 8
Evaluate
x² + y² - 2x = 8
Rearrange
x² - 2x + y² = 8
Express as perfect squares
(x - 1)² + y² = 8 + 1
So, we have
(x - 1)² + y² = 9
Hence, the equation to rectangular form is (x - 1)² + y² = 9
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HELP ASAP ASAP PLS PLS I NEED DONE NOW AND BRAINLIEST
The box plot shows the number of jumping jacks completed in a workout class by the class members.
A box plot uses a number line from 14 to 54, with tick marks every one unit. The box extends from 27 to 45 on the number line. A line in the box is at 37. The lines outside the box end at 16 and 52. The graph is Jumping Jacks Completed, and the line is labeled Number of Jumping Jacks.
Which of the following lists the range and IQR for this data?
The range is 18, and the IQR is 36.
The range is 36, and the IQR is 37.
The range is 36, and the IQR is 18.
The range is 18, and the IQR is 37.
The range is the difference between the maximum and minimum values in the data set. From the box plot, we can see that the maximum value is 52 and the minimum value is 16, so the range is:
Range = Maximum value - Minimum value
Range = 52 - 16
Range = 36
The IQR (interquartile range) is the difference between the first and third quartiles of the data set, which is represented by the length of the box in the box plot. From the box plot, we can see that the length of the box is:
Box length = Upper quartile - Lower quartile
Box length = 45 - 27
Box length = 18
Therefore, the range is 36, and the IQR is 18.
So the correct answer is:
The range is 36, and the IQR is 18.
Need some help I’m stuck!!!!
Answer:
I think it’s
False
True
True
True
True
False
True
False
NEED HELP ON ALL THE QUESTIONS
a. A translation on a coordinate plane involves moving every point on the plane a certain distance in a particular direction without distrupting their orientation. The shape and size of the figure do not change, only that the position shifts.
What is the effect of the translation,?b. If the translation is moving 3 units to the right, it is affecting the x-coordinate. Basically, the x-coordinate of each point on the plane is increased by 3 units, while the y-coordinate remains the same.
c. If the translation is moving 8 units down, it is affecting the y-coordinate. Basically, the y-coordinate of each point on the plane is decreased by 8 units, while the x-coordinate remains the same.
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CAN SOMEONE HELP WITH THIS QUESTION?
The numeric value of the function f(x) at x = 5 is given as follows:
f(5) = 74.75.
How to obtain the function f(x)?The second derivative of the function f(x) is given as follows:
f''(x) = 2x + 6sin(x).
Integrating the second derivative, the first derivative of the function is given as follows:
f'(x) = x² - 6cos(x) + K.
When x = 0, y' = 2, hence the constant K is given as follows:
2 = -6 + K
K = 8.
Hence:
f'(x) = x² - 6cos(x) + 8.
Integrating the first derivative, the function is given as follows:
f(x) = x³/3 - 6sin(x) + 8x + K.
When x = 0, y = 4, hence the constant K is given as follows:
K = 4.
Then:
f(x) = x³/3 - 6sin(x) + 8x + 4.
The numeric value at x = 5 is given as follows:
f(5) = 5³/5 - 6sin(5) + 8(5) + 4
f(5) = 74.75.
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1) Which line is perpendicular
to y = 4x+5?
Answer:
[tex]B. y=-1/4x+6.[/tex]
Step-by-step explanation:
The line perpendicular to the line y = 4x + 5 would need a slope of -1/4.
The slope of any perpendicular line multiplied by the original line must equal -1. Therefore, only answer B works.
Answer:
B
Step-by-step explanation:
The given line is a slope -intercept form
y = mx + b m is the slope
for this line slope = 4
PERPENDICULAR slope is - 1/m = = - 1/4 <====you just have to LEARN this!
Answer B has slope = - 1/4
Help: (It is just one question.)
The bearing of the cruise ship displacement from its initial position is 15.06°, which makes the second option correct
What is bearing?Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.
We will get a right triangle from travels of the ship, such that we can call the initial position A, the point after 8 miles B and the point after 30 miles C
angle B = 30° + 60° = 90°
AB = 8
BC = 30
by Pythagoras rule;
AC = √(8² + 30²) = 31.04
using sine rule;
30/sinA = 31.04/sin90
A = sin⁻¹[(30 × sin90)/31.04]
A = 75.06°
bearing from initial position = (30° + 75.06°) - 90°
bearing from initial position = 105.06 - 90°
bearing from initial position = 15.06°
Therefore, the bearing of the cruise ship displacement from its initial position is 15.06°
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1/2x+1/3y=7
1/4x+2/3y=6
4
What is the solution of the system shown?
6,12
1/6,14
10 2/3, 5
The solution to the system of linear equation is:
x = 10 2/3, y = 5
The correct option is the last option 10 2/3, 5
Solving system of linear equationsFrom the question, we are to solve the given system of linear equation.
The given system of linear equations is
1/2x + 1/3y = 7
1/4x + 2/3y = 6
Multiply the first equation by 2
1/2x + 1/3y = 7 × 2
x + 2/3y = 14
Subtract the second equation from the resulting equation
x + 2/3y = 14
- 1/4x + 2/3y = 6
--------------------------
3/4x = 8
Multiply both sides of the equation by 4/3
4/3 × 3/4x = 8 × 4/3
x = 32/3
x = 10 2/3
Substitute the value of x into
x + 2/3y = 14
To determine y
(10 2/3) + 2/3y = 14
32/3 + 2/3y = 14
Multiply through by 3
32 + 2y = 42
Subtract 32 from both sides
32 - 32 + 2y = 42 - 32
2y = 10
Divide both sides by 2
2y / 2 = 10 / 2
y = 5
Hence, the solution is:
x = 10 2/3, y = 5
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solution to the system of equations y = 2x -1 and y = x + 3
The solution to the system of equations, y = 2x -1 and y = x + 3 is: x = 4 and y = 7.
How to Find the Solution to a System of Equations?Given the system of equations as:
y = 2x - 1 ---> eqn. 1
y = x + 3 --> eqn. 2
Substitute y for (x + 3) into equation 1:
x + 3 = 2x - 1
Combine like terms:
x - 2x = -3 - 1
-x = -4
x = 4
Substitute x = 4 into equation 1:
y = 4 + 3
y = 7
The solution is: x = 4 and y = 7.
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Which statement could be made based on the diagram below?
A) m∠3 + m∠6 = 90
B) ∠3 = ∠6
C) ∠3 = ∠5
D) m∠4 + m∠5 = 180
Answer:
A) angle 3 plus angle 6 = 90°
Step-by-step explanation:
just think about it : to the left of m at the intersection with n is 90°. so, to the right it must be 90° too.
because one side of a line represents always 180° for all angles around a single point.
14 minus 25% algebraic expression
The value of the expression is 13. 75
What is an algebraic expression?An algebraic expression is described as an expression that is known to consist of certain variables, terms, their coefficients, factors and also their constants.
Algebraic expressions are also known to be made up of some arithmetic operations such as;
BracketParenthesesDivisionMultiplicationSubtractionAdditionFrom the information given, we have that;
14 minus 25%
This is represented as;
14 - 25%
Find the percent
14 - 25/100
Divide the values
14 - 0.25
13. 75
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A fair six sided number cube has the following faces 1,1,2,2,5,6 this number cube is rolled 50 times what is the probability that fewer than 30% of the rolls result in a two
The probability that fewer than 30% of the rolls result in a two is given as follows:
0.3085 = 30.85%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].2 out of the six faces are two, and there will be 50 trials, thus the parameters n and p are given as follows:
n = 50, p = 2/6 = 1/3 = 0.3333.
The mean and the standard error are given as follows:
[tex]\mu = p = 0.3333[/tex][tex]s = \sqrt{\frac{0.3333 \times 0.6667}{50}} = 0.0667[/tex]The probability that fewer than 30% of the rolls result in a two is the p-value of Z when X = 0.3, hence:
Z = (0.3 - 0.3333)/0.0667
Z = -0.5
Z = -0.5 has a p-value of 0.3085.
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What is the solution to the given linear-quadratic system: y = x + 5 and y = x² + 5?
Answer: 1 over 6
Step-by-step explanation:
An ordinary fair dice is a cube with the numbers 1 through 6 on the sides
The probability values are P(A) = 0.722 and P(B) = 0.50
Calculating the probability valuesFrom the question, we have the following parameters that can be used in our computation:
A fair die
The sample space of the events are
A = Sum is greater than 5
B = Sum is an even number
From the sample space of the sum of outcomes, we have
n(A) = 26
n(B) = 18
So, we have
P(A) = 26/36 = 0.722
n(B) = 18/36 = 0.50
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The ratio of the speeds of pulleys is inversely proportional to the ratio of their diameters. The speed reduction required on a pulley and belt drive is 4 to 1. If the drive is 4 inches in diameter, what size would be required for the driven pulley?
1 inch is the diameter of the driven pulley.
Let's use D to represent the driven pulley's diameter. The speed decrease needed, according to the issue description, is a 4 to 1 reduction.
This implies that the ratio of the diameters is also 4 to 1, as the speeds are inversely proportional to the diameters:
D/4 = 1/4
Multiplying both sides by 4 gives:
D = 1
Therefore, the diameter of the driven pulley should be 1 inch.
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The sports shop has 63 part-time employees and 27 full-time employees. What percentage of
the employees at the sports shop work part-time?
Write your answer using a percent sign (%).
Answer:
70%
Step-by-step explanation:
63 / (63+27)
63 / 90 = 0.7
Turn 0.7 into a fraction, 70 under 100
Then rewrite the fraction 70 under 100 to 70%
Pamela paid $8.95 for 5 pounds of bananas. How much will it cost to buy 2 pounds of bananas at the same rate?
Answer:
$3.58
Step-by-step explanation:
Because we know that the 2 lbs of bananas will be purchased at the same rate, the price per pound for 5 lbs of bananas is proportional to the price per pound for 2 lbs of bananas.
Thus, we can solve for price, p of 2 lbs of bananas by setting up a proportion:
[tex]\frac{8.95}{5}=\frac{p}{2}\\ \\ 17.90=5p\\\\3.58=p[/tex]
Find the length of the indicated line segment of VX and SU
Questions 17-18
The length of the indicated segments are determined as:
17. VX = 6 18. SU = 15
How to Find the Length of the Indicated Line Segment?Based on the side-splitter theorem, the sides that are intercepted are divided proportionally. Using this theorem, we will find the length of the indicated segments below:
17. 8/20 = VX/15
Cross multiply:
VX * 20 = 8 * 15
VX * 20 = 120
VX = 120/20
VX = 6
18. SU/10 = 12/8
Cross multiply:
SU = 120/8
SU = 15
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Evaluate 5z - 3z for z = 3.
The value of the expression 5z - 3z, when z is equal to 3, is 6.
What is the value of the expression for z = 3?Given the expression in the question:
5z - 3zAlso, z = 3Evaluating an expression simply means substituting the given value of a variable into the expression and simplifying the result.
Given the expression 5z - 3z, we are given the value of z as 3.
Hence, we substitute z with 3 in the expression:
5z - 3z
Plug in z = 3
5(3) - 3(3)
Simplifying further using the order of operations (multiplication before subtraction), we get:
15 - 9
= 6
Therefore, the value of the expression is 6.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The numeric value of the function f(x) at x = 5 is given as follows:
f(5) = 74.75.
How to obtain the function f(x)?The second derivative of the function f(x) is given as follows:
f''(x) = 2x + 6sin(x).
Integrating the second derivative, the first derivative of the function is given as follows:
f'(x) = x² - 6cos(x) + K.
When x = 0, y' = 2, hence the constant K is given as follows:
2 = -6 + K
K = 8.
Hence:
f'(x) = x² - 6cos(x) + 8.
Integrating the first derivative, the function is given as follows:
f(x) = x³/3 - 6sin(x) + 8x + K.
When x = 0, y = 4, hence the constant K is given as follows:
K = 4.
Then:
f(x) = x³/3 - 6sin(x) + 8x + 4.
The numeric value at x = 5 is given as follows:
f(5) = 5³/5 - 6sin(5) + 8(5) + 4
f(5) = 74.75.
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