Suppose the average price of gas is $2.08. You are dividing by a gas station and see gas. for the price of $1.88, Which was not part of the average of $2.08. If you averaged this number in with the rest of the gas stations, what will happen to the average price of gas?
Answers
Average is HIGHER than the new gas station price.
If we included this into the average, the average would have been lowered.
Note:
If we had a lot of values, then the average would have been lowered by a lessened amount than if we were to have really less values.
Average = 2.08
New Value = 1.88
The new value is LESS than the average, so including it into the calculation would make the average LOWER.
Related Questions
marian has a savings account with $21,390 if she earns $4,100 per month, what is the maximum she can spend on a house?
Answers
The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Step-by-step explanation:
In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.
We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.
Solve the problem:Marian earns $4,100.00 per month
Suppose Marian wants to save for x months, then the maximum amount that she can spend on the house is:
4100 * x + 21390
Draw the conclusion:The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Hope this helps!
Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
Answers
A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.
In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.
Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.
If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.
The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.
Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.
Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.
This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.
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The Tennessee Titans scored 22 points in week 5 and 35 points in week 6. Find the percent of increase.
Answers
Answer:
59.09%
Step-by-step explanation:
35-22=13
13/2= .59090909=59.09%
Martha made a purchase for $70.20 including 8% sales tax.
What was the total before tax?
Answers
Answer:
64.58
Step-by-step explanation:
100%-8%=92%
70.20*92%=64.58
The sum of ∠X and ∠Y is 90°. Which statement is TRUE?
∠X is acute and ∠Y is obtuse.
Both ∠X and ∠Y are right angles.
∠X is obtuse and ∠Y is acute.
Both ∠X and ∠Y are acute angle
Answers
Answer:
the answer is that both x and y are acute
X+2>7 write the solution set in interval notation
Answers
Answer:
(5, infinitysymbol)
Step-by-step explanation:
First solve the inequality. Subtract 2 from both sides.
x + 2 > 7
x > 5
So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.
Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.
So x > 5 in interval notation is:
(5, infinitysymbol)
This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31 steel bolts is selected, what is the probability that the sample mean would be less than 141.5 millimeters? Round your answer to four decimal places.
Answers
Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).
What is probability?Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.
According to question:To solve this problem, we can use the formula for the standard deviation of the sample mean:
Standard deviation of sample mean = standard deviation / √(sample size)
Plugging in the given values:
Standard deviation of sample mean = 7 / √(31)
Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:
z-score = (sample mean - population mean) / standard deviation of sample mean
Plugging in the given values:
z-score = (141.5 - 145) / (7 / √(31))
Using a calculator, we find that the z-score is approximately -2.22.
Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.
Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).
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Which of the following are multiplied by the monthly interest rate when calculating finance charges? Select all that apply.
adjusted balance
daily balance
transaction
previous balance
average daily balance
Answers
When calculating the finance charges, the monthly interest rate (MPR) is multiplied by the D. average daily balance.
How is the finance charge for credit cards determined?The finance charge refers to the interest and other fees a borrower pays on a credit card.
To compute the finance charge, the annual percentage rate (APR) or the monthly percentage rate (MPR) is multiplied by the balance owed.
The balance commonly used for this calculation is the average daily balance.
Thus, Option D is multiplied by the MPR to compute the finance charges.
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Researchers at Manchester Metropolitan University in England determined experimentally that if a piece of toast is dropped from a 2.5 foot high table, the probability that it lands butter side down is 0.81.A) Explain what this probability means.
B) If you dropped 100 pieces of toast, will exactly 81 of them land butter side down? Explain
C) Maria decides to test this probability and drops 10 pieces of toast from a 2.5 foot table. Only 4 of them land butter side down. Should she be surprised? Describe how you would carry out a simulation to answer this question, assuming the probability that the toast lands butter side down is 0.81. Do not perform the simulation.
D) The dot plot displays the results of 50 simulated trials of dropping 10 pieces of toast. Does the simulation suggest that Maria should be surprised? Explain.
Answers
A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.
B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.
C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.
D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.
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Please help me.What type of polygon would a peice of an icosahedron at a vertex create? Explain why.
Answers
Answer:
Regular Pentagon
Step-by-step explanation:
A regular icosahedron is a twenty-faced polyhedron, each face being an equiangular triangle. Each vertex is joined together by 5 faces, therefore the polygon formed at each vertex is a regular pentagon.
We can also figure out the number of faces at each vertex using Euler's formula
F+V=E+2
F=number of faces = 20
E=number of edges = number of triangular faces * edges/triangle /2
(since each edge is shared between two faces)
= 20*3/2
=30
Number of vertices
= E+2-F = 30+2-20 = 12
So number of edges meeting at each vertex
= 30 / (12/2) = 30/6 = 5
(12/2 because each edge joins two vertices).
See attached figure, courtesy of Wikipedia.
Find the size of the of angle x.
Answers
Total degrees in any triangle = 180
Angles given = 65 + 35 = 100
X = 180-100 = 80
Answer:
80 degrees
Step-by-step explanation:
Since a triangle is 180 degrees
you then add to 2 degrees given and subtract it from 180
65+35=100
180-100=80 degrees
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
Answers
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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1/3 x 3/5 help me- like I can’t
Answers
Answer:
0.2
or
2/10
Step-by-step explanation:
The following data shows the number of laps run by each participant in a marathon. 46 65 55 43 51 48 57 30 43 49 32 56Which of these choices display the correct stemplot?A. 3 0 2 4 3 6 8 9 4 1 3 5 6 7 6 5B. 3 0 2 4 3 3 6 8 9 5 1 5 6 7 6 5
Answers
Answer:
The Stem plot is displayed below.
Step-by-step explanation:
A Stem Plot is a chart for demonstrating the distribution of numeric variables .
It is used to analyze the shape of the distribution.
The data provided is as follows:
S = {46, 65, 55, 43, 51, 48, 57, 30, 43, 49, 32, 56}
The Stem plot is displayed as follows:
3 | 0 2
4 | 3 3 6 8 9
5 | 1 5 6 7
6 | 5
Please gimme the variables to define the sytem and 2 system of equations
Answers
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
=GEOMETRYPythagorean TheoremFor the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answers
From the triangle, we have:
c = 13
b = 7
Let's solve for a.
The triangle is a right triangle.
To find the length of the missing sides, apply Pythagorean Theorem:
\(c^2=a^2+b^2\)We are to solve for a.
Rewrite the equation for a:
\(a^2=c^2-b^2\)Thus, we have:
\(\begin{gathered} a^2=13^2-7^2 \\ \\ a^2=169-49 \\ \\ a^2=120 \end{gathered}\)Take the square root of both sides:
\(\begin{gathered} \sqrt[]{a^2}=\sqrt[]{120} \\ \\ a=10.95 \end{gathered}\)ANSWER:
\(10.95\)What is the domain for...
y=0.25x-12
Answers
Answer:
Domain: (-infinity,infinity)
Step-by-step explanation:
You're welcome. :)
(I couldn't write the infinity symbol so I wrote infinity.)
Josh is selling tickets for his school's performance. Each student receives 4 tickets for their family and 560 people are already coming. If the auditorium seats a maximum of 1275 people, what is the maximum amount of students able to receive tickets?
Answers
A function assigns the values. The maximum amount of students able to receive tickets is 178.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Let the maximum amount of students able to receive tickets be represented by x. Josh is selling tickets for his school's performance. Each student receives 4 tickets for their family and 560 people are already coming. And the auditorium seats a maximum of 1275 people. Therefore, we can write,
1275 = 4x + 560
1275 - 560 = 4x
4x = 715
x = 178.75
Since the number should be a whole number therefore, the maximum amount of students able to receive tickets is 178.
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12 is what percent of 24? What percent of 35 is 7? What percent of 90 is 9? 20 out of 60 is what percent?
Answers
Answer:
12 is 50% of 24
7 is 20% of 35
9 is 10% of 90
20/60 is 33.33%
A country’s population in 1991 Was 211 million in 1998 it was 215 million estimate the population in 2012 using the exponential growth formula
Answers
Answer:
The population in 2012 is estimated in approximately 223 million people
Step-by-step explanation:
Exponential Growth
The formula for exponential growth of a variable P at the growth rate r, as time t goes on in discrete intervals, or at integer times 0, 1, 2, 3, ..., is :
\(\displaystyle P(t)=P_0(1+r)^{t}\)
Where Po is the value of P at time 0.
The country’s population in 1991 was 211 million, and in 1998 it was 215 million. We have two discrete times to define the equation and set the year 1991 as t=0. Thus, the year 1998 is t=7.
The preliminary equation is:
\(\displaystyle P(t)=211(1+r)^{t}\)
To find the value of 1+r, we use the second point (7,215):
\(\displaystyle 215=211(1+r)^{7}\)
Dividing by 211:
\(\displaystyle \frac{215}{211}=(1+r)^{7}\)
Solving:
\(\displaystyle (1+r)=\sqrt[7]{\frac{215}{211}}\)
Calculating:
\((1+r)=1.002686\)
The complete equation is:
\(\displaystyle P(t)=211(1.002686)^{t}\)
Estimate the population in 2012 (t=21):
\(\displaystyle P(21)=211(1.002686)^{21}\)
\(P(21)\approx 223\)
The population in 2012 is estimated in approximately 223 million people
2 mi. =_____ yd help?
Answers
Answer: 3520
Step-by-step explanation:
1 mile=1760 yards
1760 x 2 = 3520
Written in standard form, when will a quadratic equation have a local maximum?
Answers
Answer:
If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum. For example, if you have the function 2x^2+3x-5, the function has a minimum because the x^2 coefficient, 2, is positive.
The diameter
of the Earth is 1.3 × 10 km.
The diameter of the Moon is 3.5 × 10 km.
The diameter of the Sun is 400 times greater
than the diameter of the Moon.
How many times smaller is the diameter of
the Earth than the diameter of the Sun
Answers
Earth's diameter is 0.0092 times less than the sun's diameter.
Ratio, in math, is a time period this is used to examine or greater numbers. It is used to indicate how large or small a sum is in comparison to another.In a ratio, portions are as compared the use of division. Here the dividend is referred to as the `antecedent' and the divisor is referred to as the 'consequent'. For example, in a collection of 30 people, 17 of them opt for to stroll within side the morning and thirteen of them favor to cycle. We use the ratio formulation whilst evaluating the connection among numbers or portions. The popular shape of representing a ratio of among portions say 'a' and 'b' is a: b, that's examine as 'a is to b'.The Diameter of Earth = 1.3 * 10⁴ km
The Diameter of Moon = 3.5 * 10³ km
Let the diameter of sun be x km
According to the question
The diameter of the sun is 400 times that of the moon.
x = 400 * 3.5 * 10³ km
= 14 * 10⁵ km
The Diameter of earth / diameter of sun
= 1.3 * 10⁴ / 14 * 10⁵
= 0.0092
Hence, The diameter of the Earth is 0.0092 times that of the Sun.
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A company that manufactures computer chips expects 10 out of every 100 made to be defective. In a shipment of 6400 chips, how many are expected to be defective?
In a shipment of 6400 chips, _____ are expected to be defective.
Answers
Answer:
640 are expected to be defective.
Step-by-step explanation:
Multiply 6400 by .10 which equals 640.
Please help !!! Find the measure of the exterior angle, formed by the sculpture and the ground, marked below in red.
Answers
Step-by-step explanation:
the inner and the outer angle at a vertex of a triangle are complementary angles or a linear pair of angles.
that means together they have 180°.
180 = inner + outer = 48 + outer
outer = 132°
the exterior angle is 132°.
A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answers
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
help pleaseee
A population of bacteria is growing according to the equation p(t)=1100e^0.12t
Use a graphing calculator to estimate when the population will exceed 2458.
t= -------------
Answers
The population will exceed 2458 after approximately 10.1465 units of time, where the time unit depends on the context of the problem (e.g., hours, days, etc.).
What is equation?A statement proving the equality of two expressions is known as an equation. It can include variables, integers, and mathematical operations like addition, subtraction, multiplication, and division. It also incorporates mathematical symbols. In mathematics and science, equations are frequently used to illustrate connections between quantities. The equals sign (=) is typically used in equations to denote that the expressions on each side of the sign have the same value. For instance, the formula 2 + 3 = 5 demonstrates that the total of 2 and 3 equals 5. Equations can be solved to determine a variable's value or to determine if a certain value meets the connection that the equation describes.
To estimate when the population will exceed 2458, we can set up an inequality using the equation for the population growth:
p(t) > 2458
Substituting the given equation for p(t), we get:
\(1100e^0.12t\) > 2458
Dividing both sides by 1100, we get:
\(e^0.12t > 2.23545\)
Taking the natural logarithm of both sides, we get:
0.12t > ln(2.23545)
Solving for t, we get:
t > ln(2.23545)/0.12
Using a graphing calculator to evaluate this expression, we get:
t > 10.1465
Therefore, the population will exceed 2458 after approximately 10.1465 units of time, where the time unit depends on the context of the problem (e.g., hours, days, etc.).
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Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answers
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
Round 61.373737842 to the nearest ten-millionth
Answers
Answer:
61.3737378
Step-by-step explanation:
First find the ten millionth digit, and the digit after it.
The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.
As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.
Thus the answer is 61.3737378