The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.
The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same
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Kurram was born on June 12, 2002, and his brother was born on February 10, 2004. Who is the elder among them and by how many months?
Answer:
Kurram is elder by 19 months
What is the equation of a horizontal line passing through the point (−3, 8)
the cost to rent a car from lou's garage is 50 + 0.1m dollars for m miles. The cost of a car ar Jerry's Garage is 25 + 0.05m dollars for the same number of miles
Answer:
To find out which rental car company is cheaper, you need to compare the cost for the same number of miles driven. Let's say you drive a total of "m" miles.
The cost for renting a car from Lou's Garage is 50 + 0.1m dollars.
The cost for renting a car from Jerry's Garage is 25 + 0.05m dollars.
To determine which option is cheaper, you need to compare these two expressions and find out which one is less. To do this, you can subtract the second expression from the first expression:
50 + 0.1m - (25 + 0.05m) = 25 + 0.05m
This equation shows that the cost of renting a car from Lou's Garage is 25 + 0.05m dollars more expensive than renting a car from Jerry's Garage for the same number of miles driven. Therefore, Jerry's Garage is the cheaper option.
A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
input 1 2 3 4 n
output 9 13 17 21
Answer:
y = 4n + 5
Step-by-step explanation:
y is your output and n in your input
y = 4n + 5
When the input is 1, the out put is 9
y = 4n + 5
y = 4(1) + 5
y = 4 + 5
y = 9
When the input is 2, the output is 13
y = 4n + 5
y = 4(2) + 5
y = 8 + 5
y = 13
And so on and so on....
Find the length of side x in simplest radical form with a rational denominator.
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The rule for a 30:60:90 triangle is [tex]\sqrt{3}:x: 2[/tex]
That means that to get the bottom side, we can divide 4/2
That makes 2, so then we can find x by multiplying 2 by [tex]\sqrt{3}[/tex]
That makes 2[tex]\sqrt{3}[/tex]
Cona Mother realize that her age is the difference of code is eight squared of K represent scores age which expression represents cons mothers age
The correct answer on the equation representing Kona's mother's age is option a) K² - 4.
Let M represent the Kona's mother's age = M = K² - 4.
Now substitute the value by taking Kona's age be 10.
= 10² - 4
= 100 - 4
=96.
Since the difference is Kona's age squared with subtracting 4.
The problem states that Kona's mother's age is the difference between Kona's age squared and four, We are given that the K represents Kona's age. Therefore, the expression for Kona's mother's age can be written as K² - 4. This is because we substitute the K for the Kona's age and square it, then subtract four to find the mother's age. Hence the correct is option A. The difference code refers to the answer or result formed after subtracting the given equation or expression.
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Complete question
Kona's mother realized that her age is the difference of Kona's age squared and four. If K represents Kona's age, which expression represents Kona's mother's age? a) K² - 4 b) K³ - 4 c) K² + 4 d) K³ + 4
What is 3 5/12 - 8/12 equal to?
Answer:
Step-by-step explanation:
first, write down on paper 3 5/12 - 8/12 then convert the mixed fraction into a more straightforward form. so 3 5/12 equals 37/12. then you do 37 - 8 = 29 so then change it into a fraction and the answer is 29/12. if you what it as a mixed fraction then it would be 2 5/12
jeremy's average for 11 math tests is 80. His teacher announced that the students could eliminate any one of their test grades then recompute their average. Jeremy eliminated 30 on his first test. what is his average now?
Answer: His average is 85 now.
Step-by-step explanation:
Average is the sum of all his math tests divided by the number of the math tests he took, so we get:
[tex]\frac{sum }{11}=80[/tex]
sum = 11 x 80
sum = 880
880 - 30, we get 850, which becomes the new sum of the 10 math test scores, because he eliminated one test score.
[tex]\frac{850}{10} =85[/tex]
His average is 85 now.
If radius of circle is tripled then area of circle will be increased by
If radius of circle is tripled then area of circle will be increased by:9 times.
If the radius of a circle is tripled, then the new radius is three times the original radius, or R' = 3R, where R is the original radius and R' is the new radius. The area of a circle is given by the formula A = πR^2, where A is the area and R is the radius.
Substituting R' = 3R into the formula for the area of a circle, we get:
A' = πR'^2
= π(3R)^2
= 9πR^2
Therefore, the new area A' is 9 times the original area A. In other words, if the radius of a circle is tripled, the area of the circle will be increased by a factor of 9. This is because the area of a circle is proportional to the square of its radius.
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Double spin is a new game the player gets to spin a spinner twice but wins only if the same amount comes up both times. The $100 sector is 1/8 of the circle.
a. What is the expected value when playing this game if you can play the game for free?
c. If it costs $3. 00 for you to play this game, should you expect to break even in the long run?
a. If you can play the game for free, the expected value is zero since there is no cost and no prize for winning.
How to calculate breaking even?b. To calculate the expected value when it costs $3 to play, we need to first find the probability of winning.
There are 8 possible outcomes on the spinner, and only one of them results in a win, so the probability of winning is 1/8. The probability of losing is 7/8.
The expected value is the sum of the product of each outcome and its probability. Let X be the amount won. Then:
E(X) = (1/8)($100) + (7/8)(-$3)
= $12.50 - $2.63
= $9.87
So the expected value when it costs $3 to play is $9.87. Since the expected value is positive, you can expect to make a profit in the long run.
However, this does not mean that you will win every time you play, as the outcome of each individual game is still random.
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet. 2 0, 1, 4 3 1, 2, 6 4 1, 3, 7 5 1, 1 6 5key: 3|2 means 3.2 what is the mean, and what does it tell you in terms of the problem? a. 3.85 feet; the value means that a typical throw of the ball results in 3.85 feet. b. 3.2 feet; the value means the furthest the ball went. c. 5.1 feet; the value means this measurement had the most occurrences. d. 4.62 feet; the value means that a typical throw of the ball results in 4.62 feet.
The mean, also known as the average, is a central value that represents the typical value of a set of data.
To calculate the mean, you add up all the values in the data set and divide by the number of values. The mean provides a general sense of the distribution of the data and helps to identify any patterns or trends. In the stem-and-leaf plot, the mean can be calculated by adding up all the values and dividing by the number of throws. The mean in this case is 4.62 feet, which indicates that a typical throw of the ball results in 4.62 feet. This value can be used to gain a better understanding of the overall performance of the ball thrower and provide insight into how far the ball is typically thrown.
It is important to note that the mean is sensitive to outliers or extreme values, so it may not accurately reflect the typical value of the data in all cases. However, in this particular case, the mean provides a useful representation of the typical performance of the ball thrower.
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Answer:d
Step-by-step explanation:
-5 -4 -3 -2
I
Y
5-
4+
3
2+
1
-2
-34
-5
1
→x
2 3 4 5
Find the inequality represented by the
graph.
Answer:
Based on these observations, the inequality represented by the graph is y > mx + b, where m is a positive number and b is a negative number.
Step-by-step explanation:
The graph represents a linear function. To find the inequality, we can find the equation of the line in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
From the graph, it can be seen that the slope of the line is positive, which means that as x increases, y also increases. Also, the y-intercept is negative, which means that the line crosses the y-axis at a negative value.
Based on these observations, the inequality represented by the graph is y > mx + b, where m is a positive number and b is a negative number.
Note that the exact values of m and b can be found by using two points on the line and solving for the slope and y-intercept using the formula for a line.
Three marbles are chosen from the bag below. What is the probability that all marbles chosen will be red? Write your answer as a fraction.
The probability that all marbles chosen are red is obtained using the hypergeometric distribution, which is presented during the answer.
What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The meaning of each parameter for this problem is given as follows:
N is the total number of marbles.k is the total number of red marbles in the bag.n = 3 is the number of marbles that will be chosen.x = 3 is the desired number of red marbles.More can be learned about the hypergeometric distribution at https://brainly.com/question/14741653
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Build Perseverance Find the measure of angle A and angle B for the given situation.
complementary angles A and B, where m
m
Answer:
2673+$&$ᷓ+62578
A. A fish is 12 m below the surface of the ocean. What is its elevation?
B. A seabird is 28 m above the surface of the ocean. What is its elevation?
C. If the bird is directly above the fish, how far apart are they?
Answer:
1.) -12
2.) 28
3.) 40
Step-by-step explanation:
The elevation of an object is the height or depth of the object relative to the sea level. If the object is above sea level, its elevation will be positive. However, if the object is below sea level, its elevation will be negative. Therefore, we can conclude that the elevation of the fish is -12 m because it is below sea level.
QUESTION FOR FOR LIH04
A hybrid car with a 9. 80 gal tank consumes gasoline at a rate of 54. 1 miles/gal. How many liters of gasoline will be consumed traveling 132 km?
The hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.To convert the hybrid car's fuel consumption rate from miles/gallon to kilometers/liter, we need to multiply by a conversion factor of 0.425 (1 mile = 1.609 kilometers, 1 gallon = 3.785 liters).
So the car's fuel consumption rate is 54.1 miles/gallon x 0.425 km/mile ÷ 3.785 liters/gallon = 6.09 km/liter.To find how many liters of gasoline the car will consume traveling 132 km, we can use the formula:
Gasoline consumed = distance traveled ÷ fuel consumption rate
Gasoline consumed = 132 km ÷ 6.09 km/liter = 21.65 liters (rounded to two decimal places).Therefore, the hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.
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Triangles PQR and XYZ are equilateral triangles. The sides of PQR are
5 inches long. One side of XYZ is (2x - 3) inches. What value of x
makes the triangles congruent?
Answer:
x = 4
Step-by-step explanation:
2x - 3 = 5 Add 3 to each side
2x - 3 + 3 = 5 + 3
2x = 8 Divide both sides by 2
[tex]\frac{2x}{2}[/tex] = [tex]\frac{8}{2}[/tex]
x = 4
I'LL GIVE BRAINLIEST JUST PLEASE ANSWER
countries represented at each festival 1: 0-5 3:6-11 5:12-17 4:18-23 2:24-29. How many festivals were there?
ANSWER ASAP PLEASE!!!!!
Answer:Twerk
Step-by-step explanation:Twerk
Please help!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
Answer: 1.25 and 1.33
Step-by-step explanation:
question 3:
both sides of 24 became sides that measure 30.
24 times x = 30
therefore x, the scale factor, is 1.25
question 4:
3 increases to 4 and 15 increases to 20 (you have to rotate these shape before anything else to see the corresponding changes)
15 times x = 20
20 divided by 15 is 1.33 repeating, so 4/3
If u ever had a side getting smaller in the second shape, the scale factor would be less than 1.
Find the sum or difference. Write all fractions in simplest form and improper fractions as mixed numbers 8/2-3/5
The difference of the fractions 8/2 and 3/5 is given as follows:
17/5.
How to obtain the difference?The difference operation for this problem is defined as follows:
8/2 - 3/5.
8 is divisible by 2, with a quotient of 4, hence the subtraction can be simplified as follows:
4 - 3/5.
With a common denominator of 5, we have that 4 x 5 = 20, hence:
20/5 - 3/5.
As the fractions now have a common denominator, we can subtract the numerators while keeping the denominator constant, thus the subtraction is given as follows:
(20 - 3)/5 = 17/5.
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There are 5 buses taking 27 people to a game another bus is taking 7 people how many people are These buses taking to the game?
Answer: hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
o step by step to reduce the radical.
176
176
x
x
The solution of the expression x = √176 is x = 13.27.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
x² = 176
Taking the square root of the equation,
x = √176
x = 13.27
Therefore, the solution is x = 13.27.
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a wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. how long ago, to the nearest year, was the artifact made? (the half-life of carbon-14 is 5730 years.)
The wooden artifact was made approximately 3,183 years ago. The amount of carbon-14 present in an artifact can be used to determine how long ago the organism that the artifact came from died.
The half-life of carbon-14 is 5730 years, which means that every 5730 years, half of the carbon-14 in a sample will decay. Let's call the amount of carbon-14 in the living tree sample 100%. Since the artifact contains 35% of that amount, we can write:
0.35 x 100% = 100% x (1/2)^(t/5730)
where t is the number of years since the artifact was made.
Simplifying this equation, we get the following:
0.35 = 0.5^(t/5730)
Taking the logarithm of both sides, we get:
log(0.35) = (t/5730) x log(0.5)
Solving for t, we get:
t = (5730 x log(0.35)) / log(0.5)
Using a calculator, we get:
t ≈ 3,183 years
Therefore, the wooden artifact was made approximately 3,183 years ago.
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Which Number line shows all of the values of x that make the inequality true
Any value of x that is less than or equal to -2 will make the inequality true.
What is Number line?
A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.
To solve the inequality 3x - 1 <= -7, we can start by adding 1 to both sides to isolate the variable:
3x - 1 + 1 <= -7 + 1
Simplifying, we get:
3x <= -6
Next, we can divide both sides by 3 to solve for x:
3x/3 <= -6/3
Simplifying, we get:
x <= -2
This tells us that any value of x that is less than or equal to -2 will make the inequality true. We can represent this on a number line by shading all values less than or equal to -2
The circle at -2 indicates that -2 is included in the solution set, and the arrow pointing to the left indicates that all values less than -2 are also included in the solution set. Therefore, the number line that shows all of the values of x that make the inequality 3x - 1 <= -7 true is the one with all values less than or equal to -2 shaded.
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Given that the roots of the equation x^2-8x+k=0 satisfy 3x+4x=29, find k
a = 1st zero or root of the quadratic
b = 2nd zero or root of the quadratic
[tex]x^2-8x+k=0\implies (x-a)(x-b)=0\implies x= \begin{cases} a\\ b \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -ax-bx=-8x\implies -a-b=-8\implies -b=a-8\implies b=8-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{3a+4b=29}\qquad \implies \qquad \stackrel{\textit{substituting from above}}{3a+4(8-a)~~ = ~~29}\implies 3a+32-4a=29 \\\\\\ -a+32=29\implies 32=a+29\implies \boxed{3=a}\hspace{5em}\stackrel{ 8~~ - ~~3 }{\boxed{b=5}}[/tex]
[tex]~\dotfill\\\\ (x-3)(x-5)=0\implies x^2-8x+\stackrel{ \textit{\LARGE k} }{15}=0[/tex]
The instructions on a carton of chemicals call for mixing 144 fl oz of water, 24 fl oz of chemical No. 1, and 56 fl oz of chemical No. 2. How many quarts are
contained in the final mixture?
The final mixture contains 7 quarts.
What is Mixture?
A mixture is generated when more than one chemical is mixed. A mixture can be created in a variety of ways, including using a liquid, solid, or gaseous medium.
First, let's add up the amount of the three ingredients to find the total volume of the mixture:
144 fl oz + 24 fl oz + 56 fl oz = 224 fl oz
Now, we can convert fluid ounces to quarts:
1 quart = 32 fluid ounces
So, we can divide the total volume in fluid ounces by 32 to find the total volume in quarts:
224 fl oz / 32 fl oz/quart = 7 quarts
Therefore, The final mixture contains 7 quarts.
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What is the distance between these two points?
(2,0) and (2,−5)
The distance between these two points (2,0) and (2,−5) is 5 unit.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
d=√((2 – 2)² + (-5 – 0)²)
d = √(0+25)
d = 5 unit
if the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:
PQ = |x2 – x1|
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2x(x) + 28 = (2x + 2)(x + 2)
Answer:
x = 4
Step-by-step explanation:
2x(x) + 28 = (2x + 2)(x + 2) ← expand factors using FOIL
2x² + 28 = 2x² + 6x + 4 ( subtract 2x² from both sides )
28 = 6x + 4 ( subtract 4 from both sides )
24 = 6x ( divide both sides by 6 )
4 = x
2. A traffic radar records the speed, v kilometers per hour, of cars on a section of a *
road. The following table shows a summary of the results for a random sample of
1000 cars whose speeds were recorded on a given day. Find an estimate of the
mean speed of the sample. Show your work!
Answer: Just to get your attention (don't mind rating this)
Step-by-step explanation:
I'm sorry, but there's no table or information about the sample provided for me to estimate the mean speed of the sample. Can you please provide more information or clarify your question?
