Answer:
x = 5.4
Step-by-step explanation:
[tex]\frac{7.2}{4}[/tex] = [tex]\frac{x}{3}[/tex] Cross multiple and solve for x
4x = (7.2 x3)
4x = 21.6 Divide both sides by 4
x = 5.4
Answer:
x = 5.4
Step-by-step explanation:
[tex]\frac{x}{7.2} =\frac{3}{4}[/tex]
[tex]x=\frac{(7.2)(3)}{4} =\frac{21.6}{4} =5.4[/tex]
Hope this helps
A town’s population of children increased from 376 to 421 during the past year.Which equation shows how to find the percent increase?
A. p=(421−376)/376
B. p=(421−376)/421
C. p=376/(421−376)
D. p=(376+421)/376
The percentage increase in the population of the chilrden since past year is 11.96%.
What is Percentage ?
A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.
According to the question, the town's population of children increased from 376 to 421 during the past year.
So, the increase in the population of the children is-
Increase =421-376
Increase =45
Now, the percentage increase in population of the children per year is calculated as-
Percentage Increase [tex]$=\frac{\text { Increase }}{376} \times 100 \%$[/tex]
Percentage Increase [tex]$=\frac{45}{376} \times 100 \%$[/tex]
Percentage Increase [tex]$=0.1196 \times 100 \%$[/tex]
Percentage Increase [tex]$=11.96 \%$[/tex]
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Eric is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $131 and allows unlimited mileage. Company B has an initial fee of $75 and charges an additional $0.70 for every mile driven. For what mileage will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.
For the mileage of 80 miles company A will charge less than company B.
So, the inequality is m≤80.
What is meant by inequality?A variety of notations are available to denote different kinds of inequalities. An inequality in mathematics is a relationship between two expressions or values that is not equal. To resolve an inequality, follow these steps: First, multiply each term by the total of the least common denominators of all the fractions to be subtracted. Step 2: Combine similar terms on both sides to simplify the inequality. Step 3: Calculate the unknown by adding or subtracting the amounts from the numbers on either side.
Charge for company A=$131
Charge for company B=$75+0.70m
75+0.70m≤131
0.70m≤56
m≤(56/0.7)
m≤80
Therefore, for the mileage of 80 miles company A will charge less than company B.
So, the inequality is m≤80.
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a water tank already contains 2 gallons of water when braxtor begins to fill it. water flows into the tank at a rate of 0.25 gallons per minute. Write an slope on a graph for this and x,y table plus equation
Hence, the slope of equation is [tex]f(x)=-0.25x+2[/tex].
What is the slope of the line?
The slope is always estimated by determining the ratio of the “vertical change” to the “horizontal change” between any two different points on a line.
Suppose that the amount of water in the tank after a certain number of minutes.
Let [tex]x[/tex] be any value. So, after the [tex]x[/tex] minutes the tank has lost [tex]0.25x[/tex] gallons from the original [tex]2[/tex] .
So, the [tex]f(x)=2-0.25x[/tex] where [tex]f(x)[/tex] is the number of gallons remaining after [tex]x[/tex] minutes and here [tex]x[/tex] is the number of minutes.
[tex]f(x)=2-0.25x\\\\f(x)=-0.25x+2[/tex]
Hence, the slope of equation is [tex]f(x)=-0.25x+2[/tex].
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(04.01 MC)
The graph of a linear function is shown.
graph of a line going through 0 comma 1 and 3 comma 3
Based on the graph, which of the following represents a solution to the equation?
a
(−3, −1)
b
(−1, −3)
c
(1, 3)
d
(3, 1)
The solution set of the function based on the graph is (3, 1). Option D
What is the solution set?We know that the solution set of a function would be obtained as the points where the graph cut the axes of the graph. The graph has to do with a system in which information is presented in the x, y coordinate system.
In this kind of system, the vertical axis is the y axis while the horizontal axis is the x axis, as such we would need to plot the data points of the graph and then try to obtain the points that would correspond to the solutions of the points on the graph.
We would now need to observe the graphs so as to be able to obtain the correct presentation of the data points that would serve as the solutions of the graph as we can see the function plotted completely here.
The line cut the y axis at y =1. If we trace this point to the point that it corresponds to in the x axis we have x = 3 and we have the required points as (3, 1).
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At a local college, only 60% of students live off campus. Of those who live off campus, 58% of those students get a part-time job. Of those who live on campus, 67% work part-time. The tree diagram shows how the college students are divided into subgroups.
What is the percentage of students who live off campus and do not have a part-time job?
42.6%
34.8%
25.2%
24.3%
The percentage of students who live off campus and do not have a part-time job is 25.2%
The correct answer option is option C
What percentage of students who live off campus and do not have a part-time job?Percentage of students who live off campus = 60%Percentage of students who live off campus and gets a part-time job = 58%Percentage of students who live on campus = 40%Percentage of students who live on campus and gets a part-time job = 67%Students who live off campus and gets a part-time job = Percentage of students who live off campus and gets a part-time job × Percentage of students who live off campus × 100
= 58% of 60% × 100
= 0.58 × 0.60 × 100
= 0.348 × 100
= 34.8%
percentage of students who live off campus and do not have a part-time job = Percentage of students who live off campus - Students who live off campus and gets a part-time job
= 60% - 34.8%
= 25.2%
Consequently, 25.2% of students live off campus and do not have a part-time job.
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A tricycle has 3 wheels. How many wheels are there on 4 tricycles
Answer:
12
Step-by-step explanation:
3*4=12
Here are the hottest recorded temperatures (in °F) for eight cities throughout North America.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of temperatures in that class.
(Note that we are using a class width of 5 .)
The frequency distribution of the data from 103 to 107 is 2, from 108 to 112 is 4 and from 113 to 117 is 2.
What is frequency distribution in a given set of data?Frequency distribution in a data set is the no. of times a certain data of an interval of grouped data occurs.
Temperature(°F) Frequency
103 to 107 2
108 to 112 4
113 to 117 2
The class width of a data set is represented by the two consecutive lower limits.
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Which statement best describes the relationship between changes in air pressure and wind speeds? Responses
When a high- and a low-pressure air mass are far apart, air moves quickly from high to low pressure.
When a high- and a low-pressure air mass are far apart, air moves quickly from low to high pressure.
When a high- and a low-pressure air mass are far apart, air moves quickly from low to high pressure.
When a high- and a low-pressure air mass are close together, air moves slowly from high to low pressure.
The statement that best describes the changes in air pressure and wind speed is C. When a high- and a low-pressure air mass are far apart, air moves slowly from high to low pressure.
What is the relationship between pressure and wind?The weight of air molecules pressing down on the Earth is referred to as air pressure. As you ascend from sea level into the atmosphere, the pressure of the air molecules changes. The greatest pressure exists at sea level, where the density of air molecules is greatest.
Atmospheric pressure, also known as barometric pressure, is the pressure that exists within Earth's atmosphere. The region with low pressure will always get winds from the high pressure. This means that the region of low will attract winds from the high pressure and vice versa.
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best answer gets brainliest! please explain
Answer: -8
Step-by-step explanation:
We see on the graph that there are two points located y=4. They are (7,4) ( -8,4).
So the other value other than 7 is -8!
The heights of seedlings are normally distributed. Given that 10% of the seedlings are taller than 15 cm and 5% are shorter than 4 cm, find the mean and standard deviation of the heights.
Answer:
Step-by-step explanation:
The normal distribution is defined by its mean and standard deviation, so if we know that the heights of the seedlings are normally distributed and we know certain percentiles of the distribution, we can find the mean and standard deviation.
We are given that 10% of the seedlings are taller than 15 cm, which means that 90% of the seedlings are shorter than or equal to 15 cm. This tells us that the 90th percentile of the distribution is 15 cm.
Similarly, we are given that 5% of the seedlings are shorter than 4 cm, which means that 95% of the seedlings are taller than or equal to 4 cm. This tells us that the 95th percentile of the distribution is 4 cm.
Since the normal distribution is symmetrical, the mean of the distribution is the value that separates the upper and lower halves of the distribution. In this case, the mean is the value that separates the lower 95% from the upper 5%, which means it is the value that is exactly halfway between the 95th and 90th percentiles.
To find the mean, we can add the 95th percentile (4 cm) and the 90th percentile (15 cm) and divide by 2:
mean = (4 + 15) / 2
= 19 / 2
= 9.5 cm
To find the standard deviation, we can use the fact that the normal distribution has the property that approximately 68% of the values fall within one standard deviation of the mean, approximately 95% fall within two standard deviations, and approximately 99.7% fall within three standard deviations.
Since we know that the 95th percentile (4 cm) is 2 standard deviations below the mean and the 90th percentile (15 cm) is 2 standard deviations above the mean, we can set up the equation:
4 cm = mean - 2 * standard deviation
15 cm = mean + 2 * standard deviation
Solving for standard deviation, we get:
standard deviation = (15 cm - 4 cm) / (2 * 2)
= 11 cm / 4
= 2.75 cm
So, the mean height of the seedlings is 9.5 cm and the standard deviation is 2.75 cm.
Answer:
There are many possible ranges, including (−∞,15.051464)
and (15.051464,18.6844845)
as well as 31.5±0.6270678
(centered on the mean). Observe, in R:
> pnorm(15.051464, 31.5, 10) - pnorm(-Inf, 31.5, 10)
[1] 0.05
> pnorm(18.6844845, 31.5, 10) - pnorm(15.051464, 31.5, 10)
[1] 0.05
> pnorm(32.1270678, 31.5, 10) - pnorm(30.8729322, 31.5, 10)
[1] 0.05
In general, if you are given a small enough but otherwise arbitrary number a∈R
you can find a unique b
such that b>a
and
∫baϕ(x,31.5,10)dx=0.05,
where ϕ
is the normal density. For example, if a=10
, then b≈16.42
. Again in R:
> qnorm(pnorm(10, 31.5, 10) + 0.05, 31.5, 10)
[1] 16.42003
So your question doesn’t determine the answer uniquely: I’m free to choose the upper or lower bound of the interval or any particular point relative to those (e.g. the midpoint) arbitrarily.
If you had asked for a 95% interval, it would have been a reasonable assumption (but an assumption nonetheless) that you want an interval centered on the mode, median, or mean. But for a 5% interval, it’s not obvious that you want that — in practice it’s more likely that you want the upper tail or the lower tail.
That said, at a fundamental level, the answer is the same: use the cumulative distribution function and/or its inverse, as appropriate.
!!PLEASE HELP!!
A bag holds 25 potatoes. If the
potatoes in the bag are split among 5
people, how many potatoes does each
person get?
Hello,
I hope you and your family are doing well!
If the potatoes in the bag are split equally among 5 people, each person will get 25 potatoes / 5 people
= 25/5
=5 potatoes.
Therefore, each person will receive 5 potatoes.
----
Please consider giving this 5 stars and brainliest if you find it helpful.
Happy Holidays!
Add
-1/2 + 2/7
SIMPLEST FORM!
Answer:
-3/14
Step-by-step explanation:
Step 1) Convert into -7/14 + 4/14
Step 2) -7/14 + 4/14= -3/14
What is 2754 divided by 18 ?
Answer:
153
Step-by-step explanation:
Use long division on a piece of paper I can't show photo sorry.
A line k passes through the points (−5,−5) and (1,37). A second line h passes through the points (−3,−33) and (3,9). Is line k parallel to line h? Why or why not?
line k and second line h are not parallel lines because the have different slopes.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate
y₁ - y coordinate
m - slope
A line k passes through the points (−5,−5) and (1,37).
Then Slope m = 37 + 5/ 1 + 5
m = 7
Now Write the equation as;
y + 5 = 7(x + 5)
y = 7x + 30
A second line h passes through the points (−3,−33) and (3,9).
Then Slope m = 9 + 3/ 3 + 33
m = 0.33
Now Write the equation as;
y + 33 = 0.33(x + 3)
Hence, line k and second line h are not parallel lines because the have different slopes.
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What is the value of x?
Answer:
x = 3
Step-by-step explanation:
CD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BC}{AC}[/tex] ( substitute values )
[tex]\frac{x}{2.25}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
3x = 4 × 2.25 = 9 ( divide both sides by 3 )
x = 3
Find the measure of angle f given the information below. giving brainliest for whoever is correct
According to the given figure of triangle , f = 58 °
What is Linear pair of angles ?A linear pair of angles is formed when two lines intersect at a single point. The angles are said to be linear if they follow the point where the two lines intersect in a straight line.
The sum of the angles in a pair of linear equations is always 180°. These are also referred to as additional angles.
According to the given information
We are given that
a = 119°
Applying linear Pair of Angles
a + b = 180°
119° + b = 180°
b = 180° - 119°
b = 61 °
We know that
b = c = 61 °
According to Angle sum Property
b + c + f = 180°
61° + 61° + f = 180°
f = 180 - 61 -61
f = 58 °
According to the given figure of triangle , f = 58 °
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The average person uses approximately gallons of water outdoors per day
Anserw:
Say the averge water a person uses a day is 90 gallons 30% of the water is used outside a day. So that would mean around 27 gallons.
hope that helps :)
Step-by-step explanation:
ABCD is a paralleogram if m
If ABCD is a parallelogram and ∠D=57° then ∠BCD =123°
What is a parallelogram ?
A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of the parallelogram determine its area. A parallelogram's perimeter is determined by the lengths of its four sides.
Using corresponding angle property int he parallelogram we can se that the ∠D is equal to exterior ∠C (57° ) because side AD and BC are parallel
and we know ∠C + exterior ∠C will be 180°
∠BCD=180° - 57°
∠BCD =123°
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The equation of line s is y=–4x–5/3
Line t includes the point (–3,3) and is parallel to line s. What is the equation of line t
Answer:
y = -4x-9
Step-by-step explanation:
The slope must stay the same for parallel lines, which is -4. Now we will plug the point into slope-intercept form(y=mx+b) where m is the slope and b is the y-intercept. Plugging in -4 for the slope and (-3, 3) for x and y, we get [tex]3=-4*13 + b[/tex], or [tex]3 = 12 + b[/tex]. Subtracting 12 from sides gives us that b = -9, which is the y-intercept! We know have both the slope and y-intercept, so we get that the equation is y = -4x - 9.
Hope this helps!
pls pls help due tommorw!!! pretty easyyy!
The monomial that we need to add to have a square of a difference is:
-2bc
Which binomial should we introduce?
Remember that the square of a difference is written as:
(a - b)^2 = a^2 - 2ab + b^2
Here we have the two terms:
0.01*b^2 + ... + 100c^2
We can rewrite the known terms as:
0.01*b^2 = (0.1*b)^2
100*c^2 = (10c)^2
Then our expression becomes:
(0.1*b)^2 + ... + (10c)^2
And the missing term must be:
-2*(0.1b)*(10c) = -2bc
Then the complete expression is:
(0.1b)^2 - 2bc + (10c)^2 = (0.1b - 10c)^2
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two people are scuba diving. one diver is 36 feet below the surface. the other river is 44 feet below the surface. what integers represent where the divers are with respect to the surface? which diver is deeper?
The correct integers are;
For first diver, the elevation = - 36 feet
For second diver , the elevation = - 44 feet
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
One diver is 36 feet below the surface.
And, The other diver is 44 feet below the surface.
Now,
Since, One diver is 36 feet below the surface.
And, The other diver is 44 feet below the surface.
Hence, The correct integers to represent the surface are;
For first diver, the elevation = - 36 feet
For second diver , the elevation = - 44 feet
Thus, The correct integers are;
For first diver, the elevation = - 36 feet
For second diver , the elevation = - 44 feet
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word problem for 3x + 5=20
Answer: A gym membership cost 3 dollars a month. There is an initial fee of $5. How many months would you need to be paying for the membership to have spent 20 dollars?
Step-by-step explanation:
3x+5=20
3x=15
x=5
5 Months
expression that is equivalent to 4m + 6 – 2m?
Answer: 2m-6+4m
Step-by-step explanation:
suppose you pick a point uniformly at random from the interval [0, 1]. given your point, your friend picks a point uniformly at random between 0 and your point. (a) find the joint probability distribution of the two points. (b) find the expectation of the product of the two points. (c) find the marginal distribution of the point your friend picks. (d) check that the pdf from (c) satisfies all conditions for being a pdf. (e) find the conditional distribution of your point given your friend point.
(a) The joint probability distribution of the two points will be 1/x, 0<x<1, 0<y<1
(b) The expectation of the product of the two points will be 1/6
(c) The marginal distribution of the point your friend picks will be (-1/2) lny^2
We have, X=(0,1)
Y | X=X=(0, X)
a) Let f(x,y) be the joint probability distribution of the two points will be:
f(X)=1
f(Y|X)=1/x
[tex]$$\begin{aligned}& f(x, y)=f(X) f(Y \mid X=x)=1 / x, 0 < x < 1,0 < y < x\end{aligned}$$[/tex]
b) Let E(XY) be the expectation of the product of the two points.
[tex]$$\begin{aligned}E(XY)=& \int_0^1 \int_0^x \frac{x y}{x} d y d x=\frac{1}{6} \quad \text { (Decimal : } 0.16667 \ldots \text { ) }\end{aligned}$$[/tex]
c) Let f(y) be the marginal distribution of the point your friend picks.
So, the value of f(y) will be:
[tex]$$\begin{aligned}& \mathrm{f}(\mathrm{y})= \\& \int_y^1 \frac{1}{x} d x=-\frac{1}{2} \ln \left(y^2\right)\end{aligned}$$[/tex]
d)for 0<y<1
[tex]$$\begin{aligned}& f(y) > =0 \\& \int_0^1-\frac{1}{2} \ln \left(y^2\right) d y=1\end{aligned}$$[/tex]
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Write the equation
of the line in
Slope-Intercept
Form.
Answer: y= -2/3x + 0
Explanation: y= mx +b
Y-intercept at (o,o), so b is 0
Let's pick 2 points (-3,2) ( 0,0), so the slope is -2/3
So the equation is y=-2/3x + 0
Line m passes through point (-2,-1) and is perpendicular to the graph of y= -2/3 x + 6. line n is parallel to line m and passes through point (4,-3). Which is the equation of line n in slope-intercept form
Equation of line in slope-intercept form is 3y-2x= -1.
What is a slope-intercept form?There are four alternative ways to figure out the equation of any straight line, one of which is the slope-intercept form.Typically, straight lines are shown as y = mx+c. The x and y variables are said to have a maximum power of unity by this common straight line equation. As a result, x = x1 and y = y1.Additionally, this demonstrates that only linear equations can be solved using the slope-intercept form. You ought to be able to solve linear equations with two variables. The graph of such equations is a straight line, as you should be aware of.Furthermore, you must be sure that you comprehend how linear equations' y-intercept, x-intercept, and slope properties work.Hence, Equation of line in slope-intercept form is 3y-2x= -1.
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Find the perimeter of stu
Answer:
32
Step-by-step explanation:
we have to find the side of the bigger triangle by making a ratio
5/8=7/x
cross multiply
5x=7(8)
5x=56
/5. /5
x=11.2
now for the other side
5/8=8/x
5x=8(8)
5x=64
/5. /5
x=12.8
we know all three sides 11.2, 12.8 and 8 so we add them
11.2+12.8+8
24+8
32
hopes this helps
Rewrite in simplest terms 5(-9q+7)-3(5q+5)
Answer:
-60q+20
Step-by-step explanation:
work out the answers to the following . 2/3+ 1/5
Answer: 13/15
Step-by-step explanation:
2/3 x 5 = 10/15
1/5 x 3 =3/15
3/15 + 10/15 =13/15
Answer:
13/15
Step-by-step explanation:
2/3 = 15/3 = 10 this is because 5 and three have common factors. So I now have 10/15.
1/5 = 3/15.
3/15 + 10/15 = 13/15.
Every month, noah takes home around $2,000. He uses $1,000 to cover his share of rent, utilities, transportation, and groceries. He uses around $650 on entertainment, eating out with friends, and other incidentals. The other $350, he divides between saving for emergencies and paying his student loans. What money management strategy is noah using?.
Noah is using the 50/30/20 budgeting strategy because he is using 50% of his income for his basic needs, 30% for entertainment, and 20% for savings and debt repayment.
What is money management?Money management in mathematics is the application of mathematical principles and techniques to the management of personal or corporate money. It entails the use of mathematical tools like equations, graphs, and statistics to analyse financial data and make educated decisions about budgeting, saving, investing, and spending. Mathematicians also use probability and risk analysis to manage money by estimating the likelihood of different financial events and making decisions based on the benefits and dangers of various financial options. Overall, mathematicians' understanding of money management enables people and organisations to better manage their financial resources and reach their financial objectives.
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