The correct option is B.
If the amount spent on snacks per month by all his classmates is , that amount would be $38.
What is Mean?Mean can be defined as the sum of all the observations in a sample, divided by the total number of observations. Mathematically, it is expressed as:
Mean = sum of observations / total number of observations
According to the given information:Amount of money everyone spends buying snacks each month is equal to a mean of $38.
What this means is that the average amount of money spent by everyone is equal to $38.
Therefore,
If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.
So,
We can conclude by saying, if one classmate paid above $38, and another paid below $38, it will be nullified by leveling the amount paid by all the classmates while calculating the mean.
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I understand that the question you are looking for is:
After conducting a survey of all his classmates, ryan discovers that the amount of money everyone spends buying clothes each month has a mean of $46. what does the mean say about the amount his classmates spend on clothes?
A. Half of his classmates spend exactly $38 per month buying snacks.
B. If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.
C. The majority of his classmates spend $38 per month buying snacks.
D. Half of his classmates spend more than $38 per month buying snacks
1. Find the length of a.
9/[tex]9/3-6/10[/tex]-6/10
The value of expression 9/9/3-6/10-6/10 is 9/5.
Given an expression 9/9/3-6/10-6/10.
We are required to simplify the expression 9/9/3-6/0-6/10.
Expression is combination of numbers,fraction, coefficients, determinants,indeterminants, symbols.It is mostly not found in equal to form. It also includes algebraic operations also.
Expressions: 9/9/3-6/10-6/10
This is present in fraction which is combination of two numbers one is numerator and denominator. The numbers above division sign are known as numerator and the numbers below division sign are known as denominator.
Invert the fraction which is given in denominator.
=(9*3)/9-6/10-6/10
=27/9-6/10-6/10
Taking LCM now.
=(270-54-54)/90
=(270-108)/90
=162/90
=9/5
Hence the value of expression 9/9/3-6/10-6/10 is 9/5.
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Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary Minimum: Lower quartile: Median: Upper quartile: Maximum: Interquartile range:
The five number summary can be calculated as follows:
lower quartile(Q₁) = 54 + 56 / 2 = 55
Median = 63.5
Upper quartile(Q₃) = 74
Maximum = 80
Interquartile range = Q₃ - Q₁ = 74 - 55 = 19
How to find the five number summary ?The five number summary can be found as follows;
48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80
minimum = 48
lower quartile(Q₁) = 54 + 56 / 2 = 55
The median is the middle number when the data is arranged in ascending or descending order.
Median = 63 + 64 / 2 = 127 / 2 = 63.5
Upper quartile(Q₃)= 74 + 74 / 2 = 148 / 2 = 74
Maximum = 80
Interquartile range = Q₃ - Q₁ = 74 - 55 = 19
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pipe A can fill a tank in 3 hours. if pipe B can fill the same tank in 2 hours, how many minutes will it take both pipes to fill 2/3 of the tank
Answer:
pipe A =3. pipe B=2 find LCM of 3 and 2 . it will be 6 . Then take 6×2/3 it will give you 4 minutes as the answerAnswer:
48 minutes
Step-by-step explanation:
The rate of filling from both pipes is the sum of the rates in units of tanks per hour. We want the time for 2/3 of a tank.
Sum of ratesThe sum of the filling rates is ...
rate A + rate B = (1/3) tank/hour + (1/2) tank/hour = 5/6 tank/hour
Fill timeThe time to fill a tank or part thereof will be the number of tanks divided by the rate in tanks per hour:
time = (2/3 tank)/(5/6 tank/hour) = ((4/6)/(5/6)) hour = 4/5 hour
There are 60 minutes in an hour, so the fill time is ...
(4/5 hour)×(60 min/hour) = 48 min
It will take 48 minutes for both pipes to fill 2/3 of the tank.
Urgent Help please: My neighbor just got two new cats and now she has more than 5 cats. How many cats did she have before?
Answer:
Wouldn't she have had 5 cats before? Adding 2 other cats would make it 7, which fits the "more than 5 cats" requirement.
Rachel is having chocolate cake for dessert. The cake is 12 inches in diameter and she plans to cut it into 12 pieces. What is the area of each slice of Rachel's cake?
The area of each slice of the cake is 3π square inches
How to find the area of a circle?The cake is 12 inches in diameter. The cake top is circular.
Therefore, the area of a circle is as follows;
area of a circle = πr²
where
r = radiusTherefore,
r = diameter / 2
r = 12 / 2
r = 6 inches
Hence,
area of a circle = π × 6²
area of a circle = 36π
area of each sliced cake = 36π / 12
area of each sliced cake = 3π square inches
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Which of the following is the domain and range of the ellipse with equation 4x2 + 25y2 – 8x + 100y + 4 = 0?
The domain of the ellipse is [-4. 6] and the range of the ellipse is [-4. 0]
How to determine the domain and the range of the ellipse?The equation of the ellipse is given as:
4x^2 + 25y^2 – 8x + 100y + 4 = 0
Next, we plot the graph of the ellipse
See attachment for the graph of the ellipse
The domain
From the attached graph the minimum and the maximum values of x are:
Minimum = -4
Maximum = 6
So, the domain of the ellipse is [-4. 6]
The range
From the attached graph the minimum and the maximum values of y are:
Minimum = -4
Maximum = 0
So, the range of the ellipse is [-4. 0]
Hence the domain of the ellipse is [-4. 6] and the range of the ellipse is [-4. 0]
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A printer has an original value of $7000. if it depreciates at the rate of 8 percent of the original cost per year, what is its value at the end of 9 years?
Based on the given parameters, the value of the printer after 9 years is $3304
How to determine the value in nine years?The given parameters about the exponential function are
Initial value, a = $7000
Depreciation rate, r = 8%
Time, t = 9
Exponential functions are different from linear functions, and they are calculated using the following exponential function
A = a *(1 - r)^t
To calculate the value in nine years, we have:
Substitute the known values in the above equation
A = 7000 * (1 - 8%)^9
Express 8% as decimal
A = 7000 * (1 - 0.08)^9
Evaluate the difference
A = 7000 * (0.92)^9
Evaluate the exponent
A = 7000 * 0.472
Evaluate the product
A = 3304
Hence, the value of the printer after 9 years is $3304
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Answer: 5040
Step-by-step explanation
We need to find how much it will depreciate each year based of of original cost.
8% of 7000
turn the percent into a decimal
.08
multiple .08 by the 7000
.08 * 7000 = 560
The printer depreciates 560 each year , to find the total for 9 years multiply by 9
560*9 =5040
A 6-sided die is rolled. what is the probability of rolling a number less than 4?
1/2
Step-by-step explanation:
All outcomes of a single die= 6
Events less than 4 =3
probability=3/6
=1/2
Find the area of the region r bounded by y = 4 1 − x2 , y = 4e−x, x = 0, and x = 1 2
The area of the region bounded by [tex]y=\frac{4}{\sqrt{1-x^2} }[/tex] , [tex]y=4e^{-x}[/tex] over the interval [0, 1/2] is 0.521 square units.
For given question,
We need to find the area of the region bounded by [tex]y=\frac{4}{\sqrt{1-x^2} }[/tex] , [tex]y=4e^{-x}[/tex] over the interval [0, 1/2]
The region bounded by given curves is as shown below.
The area of this region would be,
[tex]\Rightarrow A=\int\limits^\frac{1}{2} _0 {y-\frac{4}{\sqrt{1-x^{2}}}} \, dx \\\\\Rightarrow A=\int\limits^\frac{1}{2} _0 {4e^{-x}-\frac{4}{\sqrt{1-x^{2}}}} \, dx[/tex]
Now we evaluate above integral.
[tex]\Rightarrow A=4\int\limits^\frac{1}{2} _0 {e^{-x}-\frac{1}{\sqrt{1-x^{2}}}} \, dx\\\\\Rightarrow A=4[\int\limits^\frac{1}{2} _0 {e^{-x}}\,dx -\int\limits^\frac{1}{2} _0{\frac{1}{\sqrt{1-x^{2}}}} \, dx]\\\\\Rightarrow A=4([e^{-x}]_0^{\frac{1}{2} } -[sin^{-1}(x)]_0^{\frac{1}{2} })\\[/tex]
[tex]\Rightarrow A=4([1-\frac{1}{\sqrt{e} } ] -[\frac{\pi}{6} ])\\\\\Rightarrow A=4(1-\frac{1}{\sqrt{e} } -\frac{\pi}{6} )\\\\\Rightarrow A=|4~\times (-0.13013)|\\\\\Rightarrow A=0.521[/tex]
Therefore, the area of the region bounded by [tex]y=\frac{4}{\sqrt{1-x^2} }[/tex] , [tex]y=4e^{-x}[/tex] over the interval [0, 1/2] is 0.521 square units.
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Plot a graph for the following data recorded for an object falling from rest
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.
In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.
Based on the graph for the data (see attachment), we can logically deduce the following points:
The kind of curve obtained is linear.The relationship between the variables is direct variation.After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.Read more on graphs here: brainly.com/question/25875680
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Complete Question:
Plot a graph for the following data recorded for an object falling from rest
a. What kind of a curve did you obtain?
b. What is the relationship between the variables?
c. What do you expect the velocity to be after 4.5 s?
d. How much time is required for the object to attain a speed of 100 ft/s?
Brett needs to put this equation x − 2y = 16 into function notation so that he can identify the rate of change and the y-intercept. How should he display it?
Rewrite x − 2y = 16 in slope-intercept form as y = 1/2x - 8.
Slope (m) = 1/2
Y-intercept (b) = -8.
What is the Slope Intercept Equation?The slope-intercept equation helps us to easily identify the rate of change/slope (m) and the y-intercept (b) of an equation. It is given as y = mx + b.
Given, x − 2y = 16, in order to identify the slope (m) and y-intercept (b), rewrite the equation in slope-intercept form:
x − 2y = 16
-2y = - x + 16
Divide both sides by -2
-2y/-2 = -x/-2 + 16/-2
y = 1/2x - 8
As a function it would be written as y = 1/2x - 8.
Slope (m) = 1/2
Y-intercept (b) = -8.
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In which step does a mistake first occur? 8 2 (3 x 3 -2) step 1: 8 2 (3 x 1) step 2: 8 2 3 step 3: 4 3 step 4: 7
Answer: Step 1
Step-by-step explanation: The order of operations states that multiplication must be done before addition. However, in step 1, 3x3-2 turns into 3x1 which is wrong. It should be 9-2 because you need to do the multiplication first.
Quick algebra 1 question for 25 points!
Only answer if you know the answer, Tysm!
Using a quadratic regression equation, it is found that the prediction of y when x = 6 is of -154.70.
How to find the equation of quadratic regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, we have that the function initially increases, then it decreases, which means that it is a quadratic function. The points (x,y) to be inserted into the calculator are given as follows:
(-1, -2.75), (0, 2.15), (1, -1.60), (2, -13.85), (3, -34.55).
Inserting these points into the calculator, the prediction of y for a value of x is given as follows:
y = -4.721428571x² + 1.482857143x + 3.201428571
Hence, when x = 6, the prediction is:
y = -4.721428571 x 6² + 1.482857143 x 6 + 3.201428571
y = -154.70
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I have been staying up studying all night i and have ming so mich trouble with this will someone help
Answer:
may be like this
its 32cm³
Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. what are the minimum and maximum possible values of f(8) − f(3)?
The minimum value of f(8) - f(3) is 20.
The maximum value of f(8) - f(3) is 25.
In the question, we are given that, 4 ≤ f'(x) ≤ 5 for all values of x.
Taking the given inequality as (i).
We are asked to find the minimum and maximum possible values of f(8) - f(3).
We multiply (i) by dx throughout, to get:
4dx ≤ f'(x)dx ≤ 5dx.
To find this, we integrate (i) in the definite interval [8, 3] with respect to dx, to get:
[tex]\int_{3}^{8}4dx \leq \int_{3}^{8}f'(x)dx \leq \int_{3}^{8}5dx\\\Rightarrow [4x]_{3}^{8} \leq [f(x)]_{3}^{8} \leq [5x]_{3}^{8}\\\Rightarrow 4*8 - 4*3 \leq f(8)-f(3) \leq 5*8 - 5*3\\\Rightarrow 20 \leq f(8) -f(3) \leq 25[/tex]
Thus, the minimum value of f(8) - f(3) is 20.
The maximum value of f(8) - f(3) is 25.
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What is the equation of a line in point-slope form passing through (-4,6) and (2, 3)?
Answer:
[tex]y-3=-\frac{1}{2}(x-2)[/tex]
Step-by-step explanation:
The slope is
[tex]\frac{6-3}{-4-2}=-\frac{1}{2}[/tex]
So, using the point (2,3), the equation is
[tex]y-3=-\frac{1}{2}(x-2)[/tex]
Write the algebraic expression that represents the following: Forty more than a number
Answer:
x+40
Step-by-step explanation:
Let's say the the "number" is x.
"Forty more than a number" would be x+40
[tex]\Large\texttt{Answer}[/tex]
[tex]\bold{40+n}[/tex]
[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]
[tex]\Large\texttt{Process}[/tex]
⇨ Letting n be the number
[tex]\bold n[/tex]
⇨ Add 40 to n (40 more)
[tex]\bold{40+n}[/tex] (or n+40; you can swap these numbers, they'll still add up to the same amount)
Hope that helped
An urn contains balls numbered 1 through 15. a ball is chosen, returned to the urn, and a second ball is chosen. what is the probability that the first and second balls will be a 6?
In which two ways can a scrum master exemplify characteristics of a servant leader?
There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.
How does a Scrum Master demonstrate servant leadership?A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.
1. Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.
2. Empathy: the ability to understand and share the feelings of another.
3. Healing: the process of making or becoming sound or healthy again.
4. Awareness: knowledge or perception of a situation or fact.
5. Persuasion: A belief or set of beliefs, especially religious or political ones.
6. Conceptualization: The action or process of forming a concept or idea of something.
7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.
8. stewardship: The job of supervising or taking care of something, such as an organization or property.
9. Commitment: The state or quality of being dedicated to a cause, activity, etc.
10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.
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22/5 divided by 13/3
Answer:
66/65.
Step-by-step explanation:
22/5 / 13/3
Invert the divisor and multiply.
---> 22/5 * 3/13
= 66/ 65
1. Find the midpoint of the line segment with endpoints (-7, 3) and (3,-7).
Step-by-step explanation:
the coordinates of a midpoint are
x = (x1 + x2)/2
y = (y1 + y2)/2
with (x1, y1) and (x2, y2) being the endpoints.
so, our midpoint here is
((-7 + 3)/2, (3 + -7)/2) = (-4/2, -4/2) = (-2, -2)
Two children share 1/6 of a cake .what fraction does each get? answer in statement.
Fraction of cake each children's get 1/12.
What is Fraction?fraction: In mathematics, a number that is stated as a quotient in which the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.
According to the information:Cake available for Sharing = 1/6
The cake future divide into 1/2:
so,
= (1/6) x (1/2)
= 1/12
fraction of cake each children's get 1/12.
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Latoya has a lot of doctor’s visits coming up, and her children all need vaccinations for the upcoming school year. which type of insurance would be most helpful to her in this situation?
Health insurance would be most helpful to Latoya.
What is Health insurance?Health insurance, often known as medical insurance in South Africa, is a type of insurance that covers all or part of the risk of a person incurring medical expenses. Risk, like other types of insurance, is shared among many people. An insurer can design a routine finance structure, such as a monthly premium or payroll tax, to provide the money to pay for the health care benefits stipulated in the insurance agreement by calculating the overall risk of health risk and health system expenses over the risk pool.The benefit is managed by a central institution, such as a government agency, a private company, or a non-profit organization.Therefore, health insurance would be most helpful to Latoya.
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_______ 14. What is the value of x?
A. 11°
B. 22°
C. 32°
D. 43°
E. 86°
Answer: Choice D
Reason:
Add up the arc measures, then divide by 2
x = (32 + 54)/2
x = 86/2
x= 43 degrees
A bag contains 4 blue marbles and 7 red marbles. Two marbles are randomly drawn without replacement. Find the probability of the event ""the first marble is red and the second marble is blue""?
Answer:
8/11
Step-by-step explanation:
In the given scenario was cannot calculate P(B) directly. As it depends on what happened first, by itself we don’t know what was drawn first. Thus it becomes a conditional probability question:
P( B | A ) ← reads as the probability of “B” happening “given that” “A” has already happened — in this case the probability that the second marble drawn is a blue marble given that the first was a red marble.
add 5x+4y;3x-7y;-4x+8y
The answer is 4x + 5y.
Here, what needs to be done is to combine like terms.
5x + 4y + 3x - 7y - 4x + 8y5x + 3x - 4x + 4y + 8y - 7y4x + 5ysome children were asked to name their favourite flavour of ice cream the pie chart and table show some information about their answers
Answer:
mint ----> 6
strawberry ----> 105
chocolate -----> 16
Step-by-step explanation:
90° ------> 12
so , 15° -----> 2
mint ---> 45° --> 15°× 3 ---> 2×3 --> 6
strawberry ---> 14 ---> 2×7 ---> 15° × 7 -->105°
chocolate ---> 120° ---> 8×15° --> 8×2 ---> 16
Yes, the pie chart and table show some information about the children's favorite ice cream flavors.
The pie chart shows that the most popular flavor is chocolate, with 30% of the children choosing it. Vanilla is the second most popular flavor, with 25% of the children choosing it. Strawberry is the third most popular flavor, with 20% of the children choosing it. The other flavors are less popular, with each receiving less than 10% of the votes.
The table shows the number of children who chose each flavor. There were 15 children who chose chocolate, 12 children who chose vanilla, 10 children who chose strawberry, 4 children who chose mint, 3 children who chose cookies and cream, and 2 children who chose coffee.
The pie chart and table together provide a good overview of the children's favorite ice cream flavors. Chocolate is the clear favorite, followed by vanilla and strawberry. The other flavors are less popular, but they still have some fans.
Here is a table that summarizes the information from the pie chart and table:
Flavor Number of Children Percentage
Chocolate 15 30%
Vanilla 12 25%
Strawberry 10 20%
Mint 4 10%
Cookies and cream 3 7.5%
Coffee 2 5%
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a man divides ₹90,000 among wife son and daughter in the ratio 1/3:1/4:1/6 . find amount received them
what is the answer (3*5)^6
The solution of the given expression is:
(3*5)^6 = 11,390,625
How to solve the given expression?Here we have an expression with an exponent, which is:
(3*5)^6
First, we can solve the thing inside the parenthesis is:
3*5 = 15
Replacing that we get:
(3*5)^6 = (15)^6
Now, the exponent 6 means that we need to multiply the number by itself 6 times, so we get:
(15)^6 = 15*15*15*15*15*15 = 11,390,625
Then we conclude that:
(3*5)^6 = 11,390,625
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