data were collected on the number of days per week that members visit a certain fitness center. the values varied from 0 to 7, and a distribution of relative frequencies for the values was created. let the random variable x represent the number of days per week that a member visits. the mean of x is 3.12. which of the following statements is the best interpretation of the mean? responses each member visits the fitness center 3 or 4 days per week. each member visits the fitness center 3 or 4 days per week. the average number of days that each member visits the fitness center is 3.12 days per week. the average number of days that each member visits the fitness center is 3.12 days per week. half the members visit the fitness center 3 days per week or less, and the other half visit 4 days per week or more. half the members visit the fitness center 3 days per week or less, and the other half visit 4 days per week or more. the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. for a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.
The statement that is the best interpretation of the mean is that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
The data of the number of days members visited a certain fitness center varied from 0 to 7.
The mean of the random variable x = 3.12
The mean of the random variable is also known as the long-run average value of a random variable.
Hence, we conclude that the best interpretation of the mean in the given question is that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
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Mr. Apollo’s art class is designing tiles for a mosaic.
The class worked in groups, and each group selected a color and a set of shapes to use.
Match the shape names of all of the shapes in each group by dragging them to the correct color in the table.
Names may be used once, more than once, or not at all.
Set 1 has 4 blue rectangles, Set 2 has 4 red triangles, Set 3 has 4 green kites and Set 4 has 3 yellow trapezoids.
Rectangle returned to the choices list. Parallelogram
Rhombus
Square
Trapezoid
Rectangle
Triangle
Right Triangle
Isosceles Trapezoid
Obtuse Triangle
Blue
Red
Green
Yellow
To complete this task classify the shapes by considering both the color and the features of the shape.
How to classify a shape?Identify the shape. For example, a triangle has 3 sides and if one of the sides has a 90° angle, the triangle is a right triangle.Assign the name to the shape.Identify the color.Match the shape to set 1, 2 or 3. For example if the right triangle is red, this will belong to set 2.Note: This question is incomplete because the shapes are not given; due to this, the answer is based on general knowledge.
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Jim’s gas credit card bill was $80.97 for June, $41.35 for July and $65.08 for August. What were his total charges for summer?
Answer: Jim’s gas credit card bill was $187.4 for summer?
Step-by-step explanation:
80.97+ 41.35+65.08=187.4
the answer is $187.4
23 096 145
1. Write the above number in words.
2. What is the value of the 3?
3. Subtract the value of the 4 from the value of the 6.
4. Multiply the value of the 4 by 6.
Answer:
twenty three million ninety six thousand one hundered fourty five
Step-by-step explanation:
not needed
Solve the equation below. 2.3=p+0.6p=
Answer:
p=1.4375
Step-by-step explanation:
Aliyah either takes a bus or Uber to get to work and has a
$240 monthly budget for her round trip weekday
commute. A bus ride costs $3, and an average Uber costs
$12.
a Create an equation that represents the
The equation that represents the question is 3x + 12y ≤ 240
Equation calculation.
total monthly cost, C, of Aliyah's round trip weekday commute, given that she takes the bus x times and Uber y times.
C = 3x + 12y
b. Write an inequality that represents the constraints on Aliyah's budget and the number of times she can take the bus and Uber.
3x + 12y ≤ 240 (total monthly cost must be less than or equal to the monthly budget)
x ≥ 0 (the number of bus rides cannot be negative)
y ≥ 0 (the number of Uber rides cannot be negative)
x and y must be whole numbers (since Aliyah can only take a whole number of rides per month)
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The difference between an observational study and an experiment is that
explanation:
In an observational study, we measure or survey members of a sample without trying to affect them. In a controlled experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive the treatment
. Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:
a. Bert gets a Jack and Ernie rolls a five.
b. Bert gets a heart and Ernie rolls a number less than six.
c. Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.
d. Bert gets a red card and Ernie rolls a fifteen.
e. Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.
Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.
What is probability, exactly?The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.
Here,
a.
P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)
= (4/52) * (1/12)
= 1/78
b.
P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)
= (13/52) * (5/12)
= 65/624
c.
P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)
= (12/52) * (6/12)
= 1/4
d.
P(Bert gets a red card and Ernie rolls a fifteen) = 0
e.
Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:
A regular 52-card deck contains 48 cards that are not Jacks,
so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.
On a 12-sided dice with 11 possible outcomes,
Ernie rolls a non-12th-number (1, 2, 3, etc.).
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Jaxson invest $7,500 into an account with a 4.6% interest rate that is compounded monthly how much money will be in this account after 5years. Round your answer to the nearest cent
Answer:
$9,435.35
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.6/100
r = 0.046 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 7,500.00(1 + 0.046/12)(12)(5)
A = 7,500.00(1 + 0.003833333)(60)
A = $9,435.35
2 workers were moving some boxes in a warehouse they each applied equal force to the box according to newton's 2nd law what would be the result
Answer:
Step-by-step explanation:
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on the object, and inversely proportional to the mass of the object. The law is often stated as F = ma, where F is the net force acting on an object, m is the mass of the object, and a is the acceleration produced by the force.
In the case of the two workers moving boxes in a warehouse, each worker is applying an equal force to the box. This means that the net force acting on the box is the sum of the forces applied by each worker. Since the forces are equal and in the same direction, the net force is simply the double of the force applied by each worker.
Assuming that the boxes have the same mass, the acceleration of each box would be the same. Therefore, the result of the two workers applying equal force to the box would be that the boxes would move with the same acceleration in the direction of the force applied by the workers.
dsfdewasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqewwasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqew
Answer:
???
Step-by-step explanation:
Identify the sum of the angle measures in a decagon (a 10-sided polygon)
O 1800°
0 1440°
0 1620°
O 1260°
Answer:
1440°
Step-by-step explanation:
(n - 2)180° - (10 - 2)180° = 8(180°) = 1440°
Answer:
1440 degrees
Step-by-step explanation:
formula for calculating sum of angles in a polygon is (n-2) 180 where n is 10 that's 10-2 which is 8 and 8 * 180 which is 1440
Lily has 4 cups of apples, 5-½ cups of watermelon, and cups of
grapes. She needs 2½ times of each fruit to make her fruit bowl. How
much of each fruit does she need? Do not round. Write your answer as
a whole number or as a mixed number. Use "/" as a fraction bar. Do
not label your answers.
a. Apples
b. Watermelons
c. Grapes
a. Apples: Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes: The amount of grapes that Lily has is not given
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.
a. Apples:
2½ × 4 cups = 10 cups
Therefore, Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons:
2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups
Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes:
The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.
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Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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(12²-15+17)+16= what is the answer
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
Show that 100 divided by 20 is 5, using at least five daily life examples.
The 5 life examples are:
You have 100 pieces of candy and you want to divide them equally among 20 people. Each person would get 100/20 = 5 pieces of candy.A pizza is cut into 100 slices, and you want to divide it evenly among 20 people. Each person would get 100/20 = 5 slices of pizza.You have 100 dollars and you want to spend them on 20 items at the same price. Each item would cost 100/20 = 5 dollars.You want to divide a 100-minute task into 20 equal parts. Each part would take 100/20 = 5 minutes.You are scheduling 100 appointments in a day and you want to divide them into 20-hour blocks. Each block would have 100/20 = 5 appointments.What are the Life examples about?In all these life examples that are listed above, the number 100 is divided by 20 giving 5 as the result. which is said to be:
100/20
= 5.
Therefore, reason behind this is that the number 20, in these life examples, is a representative of a whole value and the number 5 represents the number of parts it is being divided into, so when you multiply 20 by 5, you get 100, which represents the total of these five parts. So, 100 is related to 20 in this context as the multiple of 20 and 5.
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Light bulbs are normally distributed with an average lifetime of 1000 hours and a standard deviation of 250 hours. The probability that a light bulb picked at random will last between 1400 and 1500 hours is about:
Answer:
The probability that a light bulb picked at random will last between 1400 and 1500
P(14 00≤X≤1500) = 0.032
Step-by-step explanation:
Explanation:-
Given that mean of the Population = 1000
Given that the standard deviation of the Population = 250 hours
Let 'X' be the random variable in a normal distribution
Let X = 1400
\(Z = \frac{X-mean}{S.D} = \frac{1400-1000}{250} = 1.6\)
Let X = 1500
\(Z = \frac{X-mean}{S.D} = \frac{1500-1000}{250} = 2\)
The probability that a light bulb picked at random will last between 1400 and 1500
P(x₁≤ X ≤x₂) = P(Z₁≤ Z ≤z₂)
= A( Z₂ ) -A(Z₁)
P(1400≤X≤1500) = P(1.6≤ Z ≤2)
= A(2 ) -A(1.6)
= 0.4772-0.4452
= 0.032
Final answer:-
The probability that a light bulb picked at random will last between 1400 and 1500
P(14 00≤X≤1500) = 0.032
Directions: y varies directly with x. Write an equation for the direct variation. Then find each value. 3. If y = 8 when x = 3, find y when x = 45. 4. If y=-4 when x= 10, find y when x=2. 5. Find y when x = 3 if y=-4 when x = -9. 6. If y= 20 when x = 8, what is the value of x when y=-2?
The value of y when x = 45 is 120
Here, we have a direct variation question
Let us have the constant of variation as k
Since it is a direct variation, the relationship between the two is;
\(y\text{ = kx}\)We can find the value of k from the initial values of x and y given
Mathematically, that would be;
\(k\text{ = }\frac{y}{x}\text{ = }\frac{8}{3}\)Now, we want to find the value of y when is 45
Recall;
\(\begin{gathered} y\text{ = kx} \\ \\ y\text{ = }\frac{8}{3}\text{ }\times\text{ 45} \\ \\ y=8\text{ }\times\text{ 15 = 120} \end{gathered}\)jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they drove 111 miles. And, on Thursday, they drove 588 miles. what is the total number of miles that Jake's family traveled
QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer: 154 m^3
Step-by-step explanation:
Volume = (5*2*7) + (3*7*4)
= 70 + 84
= 154 m^3
Brainliest please :P
Answer:
154 m^3
Step-by-step explanation:
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Can I get help with this question please? The example doesn't help.
"A DC-9 aircraft leaves an airport from a runway whose bearing is N31 °E. After flying for
1/4 mile, the pilot requests permission to turn 90° and head toward the southeast. The permission is granted. After the airplane goes 1 mile in this direction, what bearing should the control tower use to locate the aircraft?
The bearing used by the control tower to find the aircraft is N31°E + 79.6° or approximately N110.6°E.
What is the trigonometry ratio?Trigonometric ratios are the ratios of the sides of a right triangle. The sine (sin), cosine (cos), and tangent (tan) are three typical trigonometric ratios.
We may use the principles of bearings and trigonometry to solve this problem.
Let's start by drawing a diagram of the situation below:
Here, A represents the aircraft's original location, and B represents the aircraft's location after it has flown 1 mile to the southeast.
To get the bearing used by the control tower to identify the aircraft, we must first calculate the angle between the initial direction (N31°E) and the ending direction (towards B).
This angle can be calculated using trigonometry as follows:
\(\frac{AB}{AC} = tan(theta)\\tan^{-1}(\frac{AB}{AC} ) = theta\)
where AB is the distance between A and B (one mile), AC is the distance between A and the point where the aircraft makes the 90-degree turn (one-quarter mile), and theta is the desired angle.
AB and AC can be calculated as follows:
\(AB = \sqrt{((1 mile)^{2} + (1 mile)^{2} )} \\AB = \sqrt{2} miles\)
(1/4) mile = AC
Substituting these values into theta's formula yields:
\(\\tan^{-1}(\frac{\sqrt{2} }{\frac{1}{4} } ) = theta\)
evaluate this expression and obtain:
theta ≈ 79.6°
As a result, the bearing used by the control tower to find the aircraft is N31°E + 79.6° or approximately N110.6°E.
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The radius of a circle is 18 inches. What is the circle's area?
Answer:
1017.88 inches
Step-by-step explanation:
Area = πr2 = π x 182 ≈ 1017.87602
The rat population in major metropolitan city is given by the formula n(t)=89e^0.02t where t is measured in years since 1991 and n(t) is measured in millions. What does the model predict the rat population was in the year 2007?
Answer:
122.6 million
Step-by-step explanation:
Figure the value of t, then put that into the formula and do the arithmetic.
t = 2007 =1991 = 16
n(16) = 89e^(0.02·16) = 89·e^0.32 ≈ 122.6
The model predicts a rat population of 122.6 million in 2007.
mr miller bought 1/3 pounds of nuts he divided the nuts equally among his three children how much did each child get
Answer:
1/9
Step-by-step explanation:
1/3 ÷ 3 = 1/9
People use the KCF method for this kind of solution.
At first it is 1/3 ÷ 3/1, after that you need to flip the 2nd fraction. For example, to be able to flip the fraction to find the answer, the equation your supposed to get after flipping the 2nd fraction is 1/3 x 1/3 which makes 1/9.
Consider f(x) = 2x^2 + 1 and g(x) = 3x - 6. Which statement about f + g is true?
A.It is a linear function.
B.It is a quadratic function.
C. The domain is x 2-3.
D. The range is all real numbers.
Answer:
Vertex of a quadratic function (formula)
Step-by-step explanation:
the expression (x¹⁰) (x⁴)³ is equivalent to x^p. what is the value of p?
Answer:
The value of p is 22.
Step-by-step explanation:
To simplify the expression (x¹⁰) (x⁴)³, we can use the power of a power rule, which states that when we raise an exponential expression to another exponent, we multiply the exponents. Therefore, we can write:
(x¹⁰) (x⁴)³ = x^(10) * (x^(4))^3
Simplifying the expression in the parentheses using the power of a power rule, we get:
x^(4*3) = x^12
Substituting this back into the original expression, we get:
(x¹⁰) (x⁴)³ = x^(10) * x^12
Using the product of powers rule, we can add the exponents:
x^(10+12) = x^22
Therefore, the expression (x¹⁰) (x⁴)³ is equivalent to x^22, and the value of p is 22.
Need help don’t understand
Answer:it’s asking what is the square root of -8 multiplied by the square root of 24
Step-by-step explanation: just find the square root of each on google then multiply the two answers to get the final answer :)
9x^2 - y^2 - 90x + 4y + 140= 01. does the ellipse open horizontally or vertically?2. give the coordinates of the right vertex3. give the coordinates of the left vertex4. give the coordinates of the right focus(round to the nearest hundredths)5. give the coordinates of the left focus(round to the nearest hundredths)6. give the eccentricity
the function is:
\(9x^2-y^2-90x+4y+140=0\)We can graph the function to be sure:
1) In this case the ellipse open vertically because there is a contraction in the x axis.
2) The right vertex is in the coordinate (8,2)
3) the eft vertex is in the coordinate (2,2)
4) the right focus is in the coordinate (14.5,2)
5) the left focus is in the coordinate (-4.5,2)
6) and the eccentricity is the divition between the distance of the center to the vertex by the distance of the center to the focus so:
\(e=\frac{9.5}{3}=3.16\)3. [3 pts] The pressure, temperature, and volume of an ideal gas are related by the equation n = PV/RT
Solve this equation for R.
Answer:
Step-by-step explanation:
Given n=PV/RT
therefore R= PV/nT (by rule of cross multiplication of fractions)
What is the product of StartFraction 4 Over 9 EndFraction and StartFraction 1 Over 11 EndFraction
Answer:
4/99
Step-by-step explanation: