Answers
Answer:
The Champs with a mean of about 66.4 inches.
Explanation:
Champs:
62, 69, 65, 68, 60, 70, 70, 58, 67, 66, 75, 70, 69, 67, 60
The mean of a set of numbers is the sum divided by the number of terms, which in this situation for the champs is 66.4 inches.
Super Stars:
66, 66, 66, 63, 63, 63, 65, 65, 65, 64, 64, 64, 58, 58, 58
The mean of a set of numbers is the sum divided by the number of terms, which in this situation for the champs is 63.2 inches.
Results:
So from the data of both of them, the Champs have a larger average than the super stars (the mean of numbers means the average) so it would be 66.4 inches.
Related Questions
Solve for MRS
y= 24 - (4(square root of x))
Answers
The Marginal Rate of Substitution (MRS) for the given function is equal to -2/sqrt(x). To find the Marginal Rate of Substitution (MRS), we need to take the derivative of the given function with respect to x.
Given: y = 24 - 4(sqrt(x))
Step 1: Differentiate the function y with respect to x.
dy/dx = d/dx(24 - 4(sqrt(x)))
Step 2: Differentiate each term separately using the power rule and chain rule.
dy/dx = 0 - 4(1/2)(x^(-1/2))(1)
Step 3: Simplify the derivative.
dy/dx = -2(x^(-1/2))
Step 4: Rewrite the derivative in terms of MRS.
MRS = dy/dx = -2/sqrt(x)
Therefore, the Marginal Rate of Substitution (MRS) for the given function y = 24 - 4(sqrt(x)) is -2/sqrt(x).
The negative sign indicates that the MRS is inversely related to x, which means as x increases, the MRS decreases. The value of MRS represents the rate at which a consumer is willing to substitute y (the dependent variable) for an incremental change in x (the independent variable). In this case, as x increases, the consumer is willing to substitute less y for the additional units of x.
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PLEASE HELP QUICKLY Evaluate 12 + 4 x 3 - 15
Answers
Answer:
15
Step-by-step explanation:
4×3=12 15-12=3 3+12=15
Aaliyah puts 42 gal of water into her
fish tank. This is 60% of the total
number of gallons the fish tank can
hold.
Answers
Answer:
the total is 70 gallons
hope this helped :)
Step-by-step explanation:
please help me solve!!
Answers
Answer:
(2×1+2)+(2×2+2)+(2×3+2)+(2×4+2)
=28
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
Answers
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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What is the degree of
5x^2 -4x+2x^3
Answers
Answer:
This is a third-degree trinomial.
Step-by-step explanation:
To find the degree of a polynomial, simply look at the term with the highest power. In the case of this polynomial, the term with the highest power is 2x^3 which is a third power. Hence, this is a 3rd degree trinomial.
Cheers.
a jar contains 22 red marbles number 1 to 22 and 52 blue marbles number 1 to 50 to a marble is drawn at random from the drawer find the probability of the given event around solution to three decimal places
Answers
We are given a jar that contains 22 red marble( 1 to 20) and 52 blue marbles (1 to 52). We can proceed to find the solution for each part of the question.
PART 1
Let the probability that the marble is red be P(r).
Therefore,
\(P(r)=\frac{Number\text{ of red balls}}{\text{Total number of balls}}\)This gives,
\(\begin{gathered} P(r)=\frac{22}{22+52}=\frac{22}{74} \\ \therefore P(r)=\frac{11}{37}=0.297 \end{gathered}\)Therefore, the probability that the marble is red is:
ANSWER= 0.297
PART 2:
Let the probability of picking odd-numbered balls be P(o)
Therefore,
\(P\mleft(o\mright)=\frac{Number\text{ of odd balls}}{\text{Total number of balls}}\)We already know that the total number of balls is 72 for the previous question. Therefore, the total number of oddballs will be the sum of odd red balls and odd blue balls. This consists of 11 odd red balls and 26 odd blue balls.
Therefore,
\(\begin{gathered} P(o)=\frac{26+11}{74}=\frac{37}{74} \\ \therefore P(o)=0.5 \end{gathered}\)The probability of picking odd-numbered balls is
ANSWER = 0.5
PART 3:
Let the probability of picking a red or odd-numbered ball be P(r U o)
\(P(r\cup o)=P(r)+p(o)-p(r\cap o)\)Since we already have the values of P(r) and P(o), therefore we only need to find p(r n o).
p(r n o) is the probability of the ball being red and odd. The number of the red and oddball is 11.
Therefore,
\(\begin{gathered} P(r\cap o)=\frac{nu\text{mber of red and odd balls}}{\text{Total number of balls}} \\ =\frac{11}{74} \\ =0.149 \end{gathered}\)This implies that,
\(\begin{gathered} P(r\cup o)=P(r)+p(o)-p(r\cap o) \\ P(r\cup o)=0.297+0.5-0.149 \\ \therefore P(r\cup o)=0.648 \end{gathered}\)Hence, the probability of picking a red or odd-numbered ball is
ANSWER = 0.648
PART 4:
Let the probability of picking a blue or even-numbered ball be P(b U e)
Therefore,
\(P(b\cup e)=p(b)+p(e)-p(b\cap e)\)From the above formula, we would need to figure out all the parts. p(b) represents the probability of blue marble. This gives,
\(\begin{gathered} p(b)=\frac{Number\text{ of blue balls}}{\text{Total number of balls}} \\ \therefore p(b)=\frac{52}{74}=0.703 \end{gathered}\)p(e) represents the probability of even balls. The total number of even balls will be the sum of the even red balls and even blue balls.
\(\begin{gathered} p(e)=\frac{26+11}{74}=\frac{37}{74} \\ \therefore p(e)=0.5 \end{gathered}\)p(b n e) represents the probability of blue and even balls. We have 26 blue and even balls
\(\begin{gathered} p(b\cap e)=\frac{Number\text{ of blue and even balls}}{\text{Total number of balls}} \\ P(b\cap e)=\frac{26}{74}=0.351 \end{gathered}\)Therefore,
\(\begin{gathered} P(b\cup e)=p(b)+p(e)-p(b\cap e) \\ P(b\cup e)=0.703+0.5-0.351 \\ \therefore P(b\cup e)=0.852 \end{gathered}\)Therefore, the probability of picking a blue or an even ball is:
ANSWER = 0.852
a force of 5 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 1.1 feet beyond its natural length?
Answers
The work done in stretching the spring from its natural length to 1.1 feet beyond its natural length is 6.125 foot-pounds.
The work done in extending a spring is given by the formula: W = (1/2)kx^2, where W is the work done, k is the spring constant, and x is the displacement from the natural length of the spring.
First, we need to find the spring constant k. Since a force of 5 pounds is required to hold the spring stretched 0.6 feet beyond its natural length, we can use the formula k = F/x to find k:
k = F/x = 5/0.6 = 8.33 pounds/foot
Now, we can find the work done in stretching the spring from its natural length to 1.1 feet beyond its natural length:
W = (1/2)kx^2 = (1/2)(8.33)(0.5^2) = 6.125 foot-pounds.
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A spinner has 4 equally likely outcomes: A,B,C, and D. The spinner is spun twice. What is the probability that it lands on BB twice?
Answers
Answer:
6.25%
Step-by-step explanation:
The probability of landing on B once is 25%.
So you multiply 25% by 25%.
0.25×0.25
The answer is 0.0625.
Converting back to %, its 6.25%.
I hope this helps!
pls ❤ and mark brainliest pls!
Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com
Answers
Answer:
x=0 , x=8 , x = ±5i
Step-by-step explanation:
-x(x – 8)(x² + 25) = 0
Using the zero product property
-x =0 x-8 =0 x^2+25 =0
x =0 x= 8 x^2 = -25
x=0 x= 8 sqrt(x^2) = sqrt(-25)
x = ±5i
suppose a = {0,2,4,6,8}, b = {1,3,5,7} and c = {2,8,4}. find: (a) a∪b (b) a∩b (c) a −b
Answers
The result of each operation is given as follows:
a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.
b) a ∩ b = {}.
c) a - b = {0, 2, 4, 6, 8}.
How to obtain the union and intersection set of the two sets?The union and intersection sets of multiple sets are defined as follows:
The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.Item a:
The union set is composed by the elements that belong to at least one of the sets, hence:
a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.
Item B:
The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.
Item c:
The subtraction is all the elements that are on set a but not set b, hence:
a - b = {0, 2, 4, 6, 8}.
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What is half of a 3/4 cup?
Answers
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
How do you know if a polynomial graph is positive or negative?
Answers
To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.
If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.
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questionwhich of the following scatterplots provides evidence that the condition of equal variance for inference for the slope of a regression line has not been met?
Answers
The condition of equal variance, also known as homoscedasticity, assumes that the variability of the residuals is constant across all levels of the predictor variable. This means that the spread of the residuals around the regression line should be the same for all values of the predictor.
One way to assess the equal variance assumption is to examine the scatterplot of the residuals against the predicted values. If the plot shows a random pattern with no discernible trend, then the assumption of equal variance is likely met. However, if the plot shows a funnel shape or a pattern where the spread of the residuals increases or decreases as the predicted values increase, then the assumption of equal variance may not be met.
Second, the condition of equal variance (homoscedasticity) is an assumption in regression analysis, where the variability of the response variable remains constant across the range of the predictor variable. When this condition is not met, it is called heteroscedasticity.Lastly, to identify a scatterplot that exhibits heteroscedasticity, look for a plot where the data points exhibit a pattern, such as a widening or narrowing spread, as you move along the x-axis.
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Example 3: Random variable X is distributed with the following pdf. sin(x), for 0 < xsa f(x)= 10, otherwise a. What is the value of the constant A? b. What is the corresponding CDF? c. What is E(x)? d. What is Var(x)?
Answers
The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.
The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for
A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:
F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:
F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:
E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.
d. The variance of the given random variable X can be obtained using the following formula:
Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6
Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6
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How can I find the sum please help!!
Answers
Answer:
Use mathpapa, it's a great calculator and it explains the steps
Can I have brainliest?
Step-by-step explanation:
Hurry!! MATH TEST
Ill make brainlest and pls show work if you can!
Answers
Answer:
option 1
Step-by-step explanation:
if it goes up 6 then it means plus 6
Blake buys a couch for $1000 and sells it for $1200. Calculate his profit as a percentage of the cost price.
Answers
Answer:
He earned 200 dollars
Step-by-step explanation:
He got a 20% profit.
PLEASE HELP ASAP 40 POINTS
Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60. Lin plays 3 rounds of mini golf and takes 6 turns
in the batting cages for $45. Use two equations to find the price for each activity. Enter your answers in the boxes.
Mini golf costs $
per round and batting cages cost $
each turn
Answers
Answer:
mini golf cost $2.50
Batting cages cost $10.00
Step-by-step explanation:
Let m = the cost of the mini golf
Let b = the cost of the batting cages
5n + 4b = 60
3m + 6b = 45 I can take this and divide all the way through by 3 to work with smaller equivalent numbers
m + 2b = 15 Take this multiply all the way through by -5 and add to
5m - 4b =60
-5m - 10b = -75
5m + 4b = 60
-6b = -15 Divide both sides by -6
b = 2.50
Substitute 2.5 for b into either of the 2 equations
m + 2b = 15
m + 2(2.50) = 15
m + 5 = 15 Subtract 5 from both sides
m = 10.00
Check
5m + 4b = 60
5(10) + 4(2.50) = 60
50 + 10 = 60
60 = 60
3m + 6b = 45
3(10) + 6(2.50) = 45
30 + 15 = 45
let x be the number of heads in three tosses of a fair coin. what is the probability that x is greater than or equal to 1?
Answers
The probability that x is greater than or equal to 1 is 0.875 or 87.5%
To find the probability that x, the number of heads in three tosses of a fair coin, is greater than or equal to 1, we can use the following steps:
1. Determine the total possible outcomes: There are 2 outcomes for each coin toss (heads or tails), so for 3 tosses, there are 2^3 = 8 possible outcomes.
2. Count the outcomes where x is greater than or equal to 1: We have 7 favorable outcomes (HHH, HHT, HTH, THH, HTT, THT, and TTH). The only outcome not included is TTT (no heads).
3. Calculate the probability: Divide the number of favorable outcomes by the total possible outcomes.
Probability(x ≥ 1) = (favorable outcomes) / (total possible outcomes) = 7 / 8 = 0.875
So, the probability that x is greater than or equal to 1 is 0.875 or 87.5%.
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Find the volume of an oblique cylinder with a base diameter of 4mm and a height of 20mm. Use the value 3.14 for \pi , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answers
The volume of the given cylinder that is been seen with the base diameter of 4mm as well as the height of 20mm is \(251.36mm^3\)
How can the volume be calculated?The space occupied within an object's borders which can be associated with the three dimensions can be regarded as the volume. It is sometimes referred to as the capacity that can be associated to the given object, based on the given question , it can be deduced that the diameter is been provided as well as the other other parameters like height that will be needed in the calculation of the volume the the calculation can be seen below as;
The volume that is needed which is that of the cylinder can be calculated using
\(V= \pi r^2h\)
diameter = 4mm =4/2=2mm
\(V= 3.142 * (2)^2 * 20\)
V= \(251.36mm^3\)
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NEED IN NEXT HOUR solve the following equation: 20= 4t -5t^2
Answers
Answer:
2/5 ±i4/5sqrt(6)= t
Step-by-step explanation:
20= 4t -5t^2
Rewriting
20 = -5t^2 +4t
Divide by -5
20 = -5t^2 +4t
20/-5 = -5/-5t^2 +4/-5t
-4 = t^2 -4/5 t
Complete the square
Take the coefficient of t
-4/5
Divide by 2
-4/10 = -2/5
Square it
(-2/5)^2 = 4/25
Add to each side
-4 +4/25 = t^2 -4/5 t + 4/25
-100/25+4/25 = ( t-2/5)^2
-96/25 = ( t-2/5)^2
Take the square root of each side
sqrt(-96/25) = sqrt(( t-2/5)^2)
±isqrt(96/25)=( t-2/5)
±i4/5sqrt(6)=( t-2/5)
Add 2/5 to each side
2/5 ±i4/5sqrt(6)= t
The difference between one-half a number and the number is 8 find the number
Answers
Answer:
The number is 48
Step-by-step explanation:
First, let's call the number we are looking for n.
We can then write "two-thirds of the number" as 2/3n
We can also write "one-half of a number" as 1/2n
Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8
We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.
We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6
1n = 48
n =48
What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3, 4)?
y – 4 = -5/7(x + 3)
y+ 4 = -5/7(x + 3)
y+4 = 5/7(x + 3)
y – 3 = -5/7(x + 4)
Answers
Answer: the 1st one is the correct answer.
Step-by-step explanation:
Answer:
I will choose the first option
Step-by-step explanation:
\(gradient(m) = \frac{y2 - y1}{x2 - x1} \\ \\ taking \: x1 = - 3 \\ x2 = 4 \\ y1 = 4 \\ y2 = - 1 \\ \\ m = \frac{ - 1 - 4}{4 - - 3} \\ m = \frac{ - 5}{7} \\ \\ y - y1 = m(x - x1) \\ y - 4 = \frac{ - 5}{7} (x - -3) \\ \\ y - 4 = \frac{ - 5}{7} (x + 3)\)
PLEASE HELP WILL GIVE POINTS
(04.02 LC)
Two functions, A and B, are described as follows:
Function A
y = 8x + 3
Function B
The rate of change is 1 and the y-intercept is 4.
How much more is the rate of change of function A than the slope of function B? (5 points)
1
7
8
9
Answers
The rate of change is meaning the slope. The slope of A is 8, therefore, the answer would be 7.
hope this helps :)
how to change a negative exponent to a positive exponent
Answers
X^-2 = 1/x^2
The angle of depression to the near side of a lake, measured from a balloon 2500 feet above the lake is 43°. The angle of depression to the far side of the lake is 27°. Find the width of the lake, round to the nearest tenth Width of the lake: feet
Answers
Answer:
7587.4 ft
Step-by-step explanation:
You want the width of a lake if the angle of depression to the near shore from a balloon 2500 ft above the lake is 43°, and to the far shore is 27°.
GeometryThe first attachment shows the geometry of the problem when the balloon is above the lake. In this geometry, the tangents of the angles of depression are ...
Tan = Opposite/Adjacent
tan(43°) = OB/ON
tan(27°) = OB/OF
SolutionThe width of the lake is ON +OF, so is ...
ON = OB/tan(43°)
OF = OB/tan(27°)
NF = OB·(1/tan(27°) +1/tan(43°)) = 2500·(1/tan(27°) +1/tan(43°))
NF ≈ 7587.4 . . . . feet
The width of the lake is about 7587.4 feet.
__
Additional comment
This problem identifies the position of the balloon as being "above the lake." Above, we took that literally. Often these problems have the observation point off to one side of the distance being observed, meaning the balloon would be above the near shore of the lake. If that is the intended geometry, the width of the lake is computed from the difference of the cotangents, rather than their sum. That distance is 2225.6 feet.
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Rubidium chloride (RbCI) has many medical uses (from tumor treatment to possible antidepressant effects). (i) Using values listed here, what is the heat of solution when RbCl dissolves in water? (ii) If you were holding on to the beaker as solid RbCl dissolved (became Rb+ (aq) and Cl- (aq)) would your hand begin to feel warm or cold? Which choice is correct for both (i) and (ii)? Total heat of solute-solute and solvent-solvent interactions = +680 kJ/mol; total heat of solute-solvent interaction = - 663 kJ/mol 7. a) (i) + 17.1 kJ/mol (ii) your hand would begin to feel warmer b) (i)- 17.1 kJ/mol (ii) your hand would begin to feel warmer c) (i) + 17.1kJ/mol (ii) your hand would begin to feel colder d) (i)-17.1 kJ/mol (ii) your hand would begin to feel colder
Answers
The correct choices are (i) c) +17.1 kJ/mol and (ii) b) your hand would begin to feel warmer. As Heat of solution = (Total heat of solute-solute and solvent-solvent interactions) - (Total heat of solute-solvent interaction) = 680 kJ/mol - (-663 kJ/mol) = 1343 kJ/mol.
Based on the information provided, we can determine the correct choices for (i) and (ii) as follows:
(i) The heat of solution when RbCl dissolves in water can be calculated by summing the total heat of solute-solute and solvent-solvent interactions and subtracting the total heat of solute-solvent interaction.
The correct choice for (i) is: c) +17.1 kJ/mol
(ii) If the heat of solution is positive (exothermic process), it means heat is released during the dissolution of the solute. As a result, your hand would begin to feel warmer when holding the beaker as solid RbCl dissolves in water.
The correct choice for (ii) is: b) your hand would begin to feel warmer.
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9(2+6)^2
Please explain the answer if you can, thanks!
Answers
Answer:576
Step-by-step explanation:
Answer:
576
Step-by-step explanation:
9(2+6)^2
9(8)^2
8^2 = 8*8 = 64
9*64 = 576
A pile of brick weight 22kg. 18759gram of brick are removed. What weight i left?
Answers
Answer: Answer is 3241 gm or 3.2 kg approx.
Step-by-step explanation:
Weight of the brick( in kg) =22 kg
Weight of the brick in gm= 22*1000 gm (1 kg = 1000gm)
= 22000 gm
Weight of bricks removed = 18759 gm
Weight of bricks left in the pile= 22000-18759gm
=3241 gm or 3.2 kg approx
Hence, the weight of the bricks left is 3.2 kg approx.
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