The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
How can I define a variable?A variable is a quantity that could alter when used in a mathematical problem or experiment. Normally, a variable is denoted by a single letter. Common generic symbols used for variables include the letters x, y, and z.
What is an example of a variable?Any traits, figure, or amount that can be gauged or counted is referred to as a variable. An alternative name for a variable is a data item. Age, business earnings and expenses, country of birth, capital expenditures, class grades, eye color, and car kind are a few examples of variables.
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Question 9 (4 points)
Chee is saving up to buy a new phone. The situation is represented by the equation y = 5.45x +
70 where x is the number of weeks and y is the total saved. How much total money would
Chee have after 6 weeks of saving?
A) $81.45
OB) $32.70
OC) $75.45
D) $102.70
Answer:
$102.70
Step-by-step explanation:
since x is weeks to find 6 weeks we replace x with 6
y=5.45(6)+70
y=32.7+70
y=102.7
hopes this helps please mark brainliest
The supply and demand curves for a business dealing with wheat are
Supply:
p = 1.41 + 0.00016x2
Demand:
p = (2.343 − 0.008x)2
where p is the price in dollars per bushel and x is the quantity in bushels per day. Use a graphing utility to graph the supply and demand equations and find the market equilibrium. (The market equilibrium is the point of intersection of the graphs for
x > 0.
Round your answers to two decimal places.)
x =
buchels
p = $
The market equilibrium of the demand and the supply functions is
x = 88.69 bushels and p = $2.67
How to determine the market equilibrium?From the question, we have the following parameters that can be used in our computation:
Supply Function: p = 1.41 + 0.00016x2
Demand Function: p = (2.343 − 0.008x)2
These equations can be properly expressed
So, we have the following representation
Supply Function: p = 1.41 + 0.00016x²
Demand Function: p = (2.343 − 0.008x)²
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
This is so because the market equilibrium is the point of intersection of the graphs for x > 0.
From the graph, the lines and curves intersect at the point (88.685, 2.668)
Approximate
(88.69, 2.67)
This means that the market equilibrium is (88.69, 2.67)
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given that l has been defined to refer to a list, write an expression whose value is a set containing all the elements of l.
For given that L has been defined to refer to a list , the expression whose value is a set containing all the elements of L is
set = { 1,2,3,4}
Writing List in Python :Lists are used to store multiple items in one variable. Lists are one of Python's four built-in data types used to store collections of data, the other three being tuples, sets and dictionaries, all of different qualities and uses.
A list is a container which holds comma-separated values (items or elements) between square brackets where items or elements need not all have the same type.
#Programme representation
Input:
#Python code
#A list L is initialised
L = [ 3,4,2,1 ]
#set L containing all elements of list L
print(str(set(L)))
Output:
{ 1, 2, 3, 4 }
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students with above-average scores on exam 1 in stat 001 tend to also get above-average scores on exam 2. but the relationship is only moderately strong. in fact, a linear relationship between exam 2 scores and exam 1 scores explains only 36% of the variance of the exam 2 scores.
The correlation between Exam 1 scores and Exam 2 scores is r = .6
The standard mistake of the relapse is the typical distance that the noticed qualities tumble from the relapse line. For this situation, the noticed qualities fall a normal of 4.89 units from the relapse line. Variance is a proportion of how information focuses varies from the mean. As indicated by Layman, a difference is a proportion of how far a bunch of information (numbers) is fanned out from their mean (normal) esteem. Fluctuation means to track down the normal distinction of deviation from real worth. Hence, the correlation between Exam 1 scores and Exam 2 scores is r = .6
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Find the following
I need help with this 2 questions
The value of x is 15. The measurement of m∠M = 20°
What is an equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60° and congruent with the others.
The length each side of △ABC is 9 units.
Thus it is an equilateral triangle. The measurement of each angle is 60°.
Given that, ∠ABC = 4x°.
Therefore, 4x° = 60°
Divide both sides by 4:
x = 15
43)
Given that, △LMN and △QRS are congruent triangle.
∠MNL = ∠QRS = 90°.
∠MLN = ∠QSR = 70°
and ∠NML = ∠RQS = x° (say)
The sum of all three angles of a triangle is 180°.
∠MNL + ∠MLN + ∠NML = 180°
90° + 70° + x° = 180°
Add like terms:
160° + x° =180°
Subtract 160° from both sides:
x° = 20°
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Solve for h when they are similar triangles and 2 sides are given
The value of h is 70/17 if they are similar triangles and two sides are given in the figure.
What is a triangle?Three edges and three vertices make up a triangle, which is a polygon.
In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and that triangle is contained in just one plane. All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except as specifically stated, this article is about triangles in the Euclidean plane and general Euclidean geometry.
Given,
The figure has two similar triangles.
Here in the question the two sides are given,
We have the condition,
1/AB +1/PC=1/MN
From the figure,
(1/7)+(1/10)=(1/h)
17/70=1/h
h=70/17
Therefore, the value of h is 70/17 if they are similar triangles and two sides are given in the figure.
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2.81 as a mixed number
The mixed number of 2.81 is 2 whole number 81 by 100 or [tex]2\frac{81}{100}[/tex].
What is whole number?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
Given number is 2.81.
The number 2.81 can be written as 2 + 0.81.
The number of digits after decimal point is 2.
To convert 0.81 into fractional form, divide 81 by 100.
2 + 0.81 = 2 + (81/100)
The mixed number of 2.81 is [tex]2\frac{81}{100}[/tex].
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Solve the inequality -5n<- 15
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The solution for the inequality -5n < -15 is n < 3.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
-5n < -15
Divide both sides by -5.
n < -15/-5
n < 3
This means,
n is greater than 3.
We can represent this on a number line.
<-------__-1__0__1__2__3__4__5__6__7------>
o------------------->
Thus,
The solution for the inequality -5n < -15 is n < 3.
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During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card?
A. 15
B. 30
C. 45
D. 50
HINT
Method 1: Set up a proportion and cross multiply. Method 2: Convert the
45 people used credit card on that particular day , this could be found out using simplified multiplication.
What is proportion?
A quantitative relation is an ordered try of numbers a and b, written a / b wherever b doesn't equal zero.
A proportion is an equation within which 2 ratios ar set up to one another.
Main body:
We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.
To find the number of people, who used credit card, we will find 75% of 60.
The number of people who used credit card = (75 / 100 )* 60
The number of people who used credit card = 0.75 *60
The number of people who used credit card = 45
Therefore, 45 people used credit card on that particular day.
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A bag contains 8 red marbles, 7 white marbles, and 8 blue marbles. You draw 3 marbles out at random without replacement. Find the following probabilities and round your answers to 4 decimal places.
a. the probability that all the marbles are red
b. the probability that none of the marbles are red
The probability that all the marbles are red is 0.0156 and The probability that none of the marbles are red is 0.2109.
Given ,
bag contains 8 red marbles
7 - white marbles
8 - blue marbles.
a.The probability that every marble is red is
8/23 * 7/22 * 6/21
= 0.0156.
b.The likelihood that no red marbles are present is
15/23 * 14/22 * 13/21
= 0.2109.
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what was the mistake that was made?
Answer:In step 1 the equation should be 1/4r=8
Step-by-step explanation:
1/4r+2=10
-2 -2
1/4r=8
r=32
The error was instead of subtracting 2 from each side Yusuf added 2 to the ten. The correct way would be.
1/4r + 2 = 10
- 2 - 2
1/4r = 8
÷1/4 ÷1/4
r = 32
Which of the following always lie in the triangle?
Centroid and Incentre always lie inside the triangle.
What is Centroid of a triangle?The centroid is the center point of the object. The point in whereby the three medians of the triangle intersect is called the centroid of a triangle. It is also described as the point of intersection of all the three medians. The median is a line which joins the midpoint of a side and the opposite vertex of the triangle.
What is Incentre of a triangle?
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be described as the point in which the internal angle bisectors of the triangle cross.
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4. How many 2 digit numbers
have both 4 and 5 as factors?
Answer: 20 80
Step-by-step explanation:
So two 2-digit numbers
b. How much force is needed to push it up the incline (neglect friction)?
answer to the question is 250 newtons
the answer is actually 200 newtons
Natural cork in wine bottles is subject to deterioration, and as a result wine in such bottles may experience contamination. The article "Effects of Bottle Closure Type on Consumer Perceptions of Wine Quality" (Amer. J. of Etiology and Viticulture, 2007: 182-191) reported that, in a tasting of commercial chardonnays, 16 of 91 bottles were considered spoiled to some extent by cork-associated characteristics. Does this data provide strong evidence for concluding that more than 15% of all such bottles are contaminated in this way? a. Carry out a hypothesis test (clearly write down each of the 4 steps for the hypothesis test) to decide whether more than 15% of all such bottles are contaminated. Use significance level of 0.05 b. Verify the test you use is appropriate. For example, if you use a t-test or z-test, verify the corresponding conditions.
There is insufficient evidence that more than 15% of all such bottles are contaminated.
So, we do not reject the null hypothesis.
Part A
Here, we have to use z test for population proportion.
The null and alternative hypothesis for this test is given as below:
Null hypothesis: H0: p = 0.15
Alternative hypothesis: Ha: p > 0.15
The test statistic formula is given as below:
Z = (P – p) / √(pq/n)
Where, P = sample proportion, p = population proportion, q = 1 – p, n = sample size
For the given data we have
Alpha = 0.05
Number of items of interest = x = 16
Sample size = n = 91
Sample proportion = 16/91 = 0.175824
Standard error = √(pq/n) = √(0.15*0.85/91) = 0.0374
Z = (0.175824 – 0.15) / 0.0374
Z = 0.6899
P-value = 0.2451
P-value >α
So, we do not reject the null hypothesis
There is insufficient evidence that more than 15% of all such bottles are contaminated.
Part b
Here, z test is appropriate.
Because two conditions are satisfied as below:
np = 91*0.15 = 13.65 > 5
nq = 91*0.85 = 77.35 > 5
Hence we get the required answer.
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when should we solve a system by multiplication/division?
Answer:
If you don't have equations where you can eliminate a variable by addition or subtraction you directly you can begin by multiplying one or both of the equations with a constant to obtain an equivalent linear system where you can eliminate one of the variables by addition or subtraction.
Adding or subtracting two equations in order to eliminate a common variable is called the elimination method. Once one variable is eliminated, it becomes much easier to solve for the other one. Multiplication and division can be used to set up matching terms in equations before they are combined.
Step-by-step explanation:
I hope this helps! :) If it does could you please mark me brainliest?
Tremaine's family owns a manufacturing plant that makes fake vomit. At high speed, the manufacturing line can produce 4 piles of fake vomit per hour. At medium speed, the manufacturing line can produce 50% fewer piles per hour of fake vomit than at high speed. How many piles of fake vomit can the manufacturing line produce at medium speed?
The amount of piles of fake vomit that the manufacturing line can produce at medium speed is of:
2 piles.
What is a proportion?A proportion is a fraction of a total amount, and this fraction is used along with the basic arithmetic operations, especially multiplication and division, to find the equivalent measures in the context of a problem.
The amount that can be produced at high speed is of:
4 piles of vomit.
(as stated in the text).
At medium speed, the amount is 50% of the amount of 4 piles of vomit produced at high speed, hence 4 is multiplied by 0.5 to give the amount, as follows:
0.5 x 4 = 2 piles of vomit.
(as the decimal equivalent of the percentage of 50% is of 0.5).
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evaluate 5^2 i need this quiick
Answer:
25
Step-by-step explanation:
[tex]5^{2}[/tex] = 5x5 = 25
Determine which is the graph of the given function. f(x)= {2x+5 if x <0},f(x) = {5 if 0 <=x<=10}, f(x) = {2x-10 if x >10}
The graph of the piece-wise function in this problem is given by the image shown at the end of the answer.
How to graph the piece-wise function?A piece-wise function is a function that has different definitions, based on the input values (values of x) of the function.
The function in this problem has three definitions, given as follows:
Left of x = 0.Between x = 0 and x = 10. (closed).Right of x = 10.The behavior for each definition is given as follows:
Left of x = 0: increasing with a slope of 2 and intercept of 5.Between x = 0 and x = 10: constant at y = 5.Right of x = 10: increasing with slope of 2 and intercept of -10.Then, considering these three definitions, the graph of the function is presented at the end of the answer.
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A study found that 50 pedestrians gave more money to a street beggar if the beggar had a cute and hungry-looking dog with them compared to if they were alone. The gender of the pedestrians was also noted. Which of the following sentences describes a simple effects analysis on these data? A The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians B The difference in donations when the beggar had a dog compared to not C Using a graph to do a simple inspection of the mean donations from male and female pedestrians when the beggar had a dog or was alone D The relative difference between male donations and female donations when the beggar had a dog compared to not
The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians is a simple effects analysis on these given data. So the option A is correct.
There are two degrees of gender representation when comparing women and men. Each independent variable in an experiment comparing the effects of a drug to a control group receiving no treatment can have two or more levels.
Street beggars and panhandlers collectively carry a lot of stigma. This study is based on an ethnographic street survey of local panhandlers who are homeless. These frequent exchanges between certain street people and certain.
A simple effect analysis is "The difference in donations between having a dog and not, measured individually for male and female pedestrians."
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What's the sum of ⅜ and ¼6?
O A. ½4
О B.¼
О C.⅙
O D. ¼6
Step-by-step explanation:
Very simple… first convert everything to the same denominator…
1/8 + 2/8 + 3/8… Add the numerators together, and you get 6/8.
Simplify 6/8 to its lowest form… and your answer is ⅙ !
9. What is the slope of the line that passes through the pair of points ( 3/2,-2) and (-3, 7/3)?
0 -27/26
0 -26/27
0 26/27
0 27/26
Answer: -26/27
Step-by-step explanation:
A rectangle is 4 feet longer than it is wide. If the area of the rectangle must be less than or equal to 672 square feet, find the possible values for the width .
The possible values for the width of rectangle are 24 and -28.
What is area of rectangle?
The area of a rectangle formula. Area of a Rectangle is A = l × b. Once the length and width of a rectangle are known, the area can be calculated. The area of the rectangle is calculated as a square unit by multiplying the length and width.
Let x is the width of rectangle.
As given a rectangle length is 4 feet longer than it is wide.
⇒ l = 4 + x
Since,
Area of rectangle = length x width
672 = (4 + x) x x
672 = 4x + x^2
x^2 + 4x - 627 = 0
To find the value of x we can use the quadratic formula.
Here a = 1, b = 4, c = -672
[tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\x = \frac{-4+-\sqrt{4^2-4(1)(-672)} }{2(1)} \\x = \frac{-4+-\sqrt{2704} }{2} \\x = \frac{-4+-52}{2} \\x = -2+-26[/tex]
⇒ x = -2 + 26, x = -2 - 26
⇒ x = 24, x = -28
Hence, the possible values for the width of rectangle are 24 and -28.
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Which of the following best describes a function? A function is any mathematical formula or graph. A function is any mathematical rule. A function is a formula that involves variables. A function is a rule that for each input has at most one output.
A function is a rule that for each input has at most one output.
Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.
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I need help with this problems i dont understand what they are asking
Answer: #48 <FBE
Step-by-step explanation:
Tyler has a pitcher of 12 liters of lemonade. Tyler pours an equal amount of lemonade into
3 cups. Afterward, there is liter of lemonade remaining in the pitcher. How many liters
of lemonade are in each cup?
Answer:
[tex] \frac{17}{36} [/tex]
Step-by-step explanation:
- 1 and 3/4 can be made into an improper fraction, 7/4
- 7/4 = 3x + 1/3, where x is equal to the amount of liters in each cup, 7/4 represents the total amount of lemonade in both the pitcher and cups, and 1/3 represents the amount of lemonade left over.
- Solve for x:
7/4 - 1/3 = 3x
21/12 - 4/12 = 3x
17/12 = 3x
x = 17/36
if the number of data observations is even, the median is generally considered to be the average of the first and last values
False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.
The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.
At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.
Even Number of Observations :
Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?
wages are 120,240,500,400
we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and
(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.
Therefore, the median is 240+500/2
= 370.
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Complete question
True/false
if the number of data observations is even, the median is generally considered to be the average of the first and last values
9(4t+)+3t
Simplify
Explain please
Answer:
Step-by-step explanation:
1. Multiply 9 times 4t in parentheses
2. Once you get the answer you add it to 3t and that gives you 39t
Is this question any helpful enough for?
g is the centroid of triangle abc.what is the value of x? what is the length of segment dg? unitswhat is the length of segment ag? unitswhat is the length of segment ad? units
g is the centroid of triangle abc, the value of x is 2/3.
The length of segment DG is (2/3) * (length of AB) ,The length of segment AG is (1/3) * (length of AB),The length of segment AD is (1/3) * (length of AB).
The centroid of a triangle is the point at which the three medians of the triangle intersect each other. In other words, it is the point of intersection of the three lines which each divide the opposite side of the triangle into two equal parts.
Let us consider a triangle ABC with vertices A (a1, b1), B (a2, b2), and C (a3, b3). The x coordinate of the centroid G (x, y) is given by:
x = (a1 + a2 + a3) / 3
The y coordinate of the centroid G (x, y) is given similarly as x
In your question, the x coordinate of the centroid G is given as x = 2/3. This means that the x coordinate of G is 2/3 of the way between A and B.
Therefore, the length of segment DG is (2/3) * (length of AB).
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what is 3 divided by 1/3; 9 divided by 1/4; 1/8 divided by 4; 12 divided by 1/3
12 divided by 1/3 is 1
9 divided by 1/4 is 2.25
1/8 divided by 4 is 0.5
12 divided by 1/3 is 4
Division:
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another. This number of times need not be an integer.
given that
3 divided by 1/3
3× 1/3 = 1
9 divided by 1/4
9 × 1/4 = 2.25
1/8 divided by 4
4 × 1/8 = 0.5
12 divided by 1/3
12 × 1/3 = 4
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