The number met between the town are
mitten = 67,137
kittens = 50
cats = 1680
rats = 67,200
bags = 56
nags = 7
Browns = 8
How to find the numbersFrom the given information it can be deduced that
John Brown, and seven daughters
Browns = 1 + 7 = 8
everyone had seven bags
number of bags = 8 * 7 = 56 bags
In every bag there were thirty cats
number of cats = 56 * 30 = 1680 cats
the number of kittens = 50
every cat had forty rats
number of rats = 1680 * 40 = 67,200 rats
all but the nags and bags wore mittens.
number of mittens = 67 200 - the nags (Brown's daughters) - the bags
number of mittens = 67 200 - 7 - 56 = 67 137
The number of mittens is 67,137
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What is the number below the fraction bar called?
The number below the fraction bar is called the denominator .
In the question ,
it is asked about what is the below the bar part in a fraction called .
we know that the fraction has two parts ,
one above the bar and other below the bar .
the part above the bar is called numerator and
the part below the bar is called the denominator .
For Example ,
in the fraction 2/5 .
the number above the bar is 2 , So it will be the numerator and
the number below the bar is 5 , So, it will be the denominator .
Therefore , the number below is called the denominator .
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What is the slope of the line that contains the points (-4,-2) and (6,3)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Substituting into the slope formula, [tex]m=\frac{-2-3}{-4-6}=\frac{1}{2}[/tex].
Answer:
1/2
Step-by-step explanation:
Consider the line y = 2x - 3. Write the equation of the line that is PERPENDICULAR to this line and that contains the point (-5, 3)
Answer:
Read carefully each step for your fully understand it.
Step-by-step explanation:
To find the equation of a line that is perpendicular to the line y = 2x - 3 and contains the point (-5, 3), we need to find the slope of the perpendicular line.
To find the slope, we use the negative reciprocal of the slope of the given line. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.
We can then use the point-slope formula to find the equation of the line that is perpendicular to y = 2x - 3 and contains the point (-5, 3).
The point-slope formula is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get:
y - 3 = -1/2 (x + 5)
We can then simplify this equation to get the final equation:
y = -1/2 x - 11/2
Therefore, the equation of the line that is perpendicular to y = 2x - 3 and contains the point (-5, 3) is y = -1/2 x - 11/2.
What number is 61% of 180?
109.8
just took the quiz
Suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the . Find the best predicted value of given that the has an IQ of ?
Use a significance level of 0.05. 20 siblings 20 x=99.42 y=97.2 =0.867 = = −21.33+1.19x y older child y older child 97 Click the icon to view the critical values of the Pearson correlation coefficient r.1 The best predicted value of is . y (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 0.05 α = 0.01 α = NOTE: To test H0 : 0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table. rho= rho≠4 0.950 0.990 5 0.878 0.959 6 0.811 0.917
As per the concept of regression, the best predicted value of given that the has an IQ is 106.2
What is meant by regression?
In math, regression refers a powerful statistical method that allows you to examine the relationship between two or more variables of interest
Here we have given that suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the .
And we need to find the best predicted value of given that the has an IQ.
While we looking into the given question we know that the a significance level is 0.05.
Then by using regression equation
=> ŷ=14.68+0.88x
And now we have to plug in IQ, which is x
=> 14.68 + 0.88(104)
=> 106.2
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I need help please :)
The graph of the linear equation can be seen at the end, and:
a) f(-4) = 1
b) f(5) = -8
c) f(0) = -3
d) you need to circle the points (-3, 0) and (-10, 7)
How to evaluate the linear function?Here we have the following linear function:
f(x) = -x - 3
We want to graph that line, but first let's evaluate as it asks in the steps below.
To evaluate the function, we only need to replace the variable x by the correspondent number.
a) f(-4)
Here just replace the variable x by the number -4, you will get:
f(-4) = -(-4) - 3
f(-4) = 4 - 3
f(-4) = 1
b) Here we will do the same thing:
f(5) = -5 - 3
c) f(0) = -0 - 3
f(0) = -3
d) To see which points are in the line, just replace the values of the point in the given equation. If the equation remains true, then the point is on the line.
For example, the first one (-3, 0) will give:
0 = -(-3) - 3
0 = 3 - 3
0 = 0
That equation is true, so the point is on the line.
The point (-10, 7) is also on the line:
7 = -(-10) - 3
7 = 10 - 3
7 = 7
Finally, let's do the graph.
Now you know that (-10, 7) and (-3, 0) are points on the line, you can graph these in the coordinate axis and connect them with a line.
the graph of the linear equation can be seen in the image below.
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Write this equation in standard form using integers.
y = 7/3x+25/3
Out of the 442 Star Wars fans at a Star Wars convention, fans said they thought Baby Yoda was cuter than a Porg at a ratio of 12:5.
Answer:
442 ÷ (12+5) = 26
26 × 12 = 312, 312 ppl think yoda was cuter
26 × 5= 130, 130 ppl think Porg was cuter
Andrew jame and jenny hare a box of choclate andrew eat 1/3 of the chocolate, jame eat 2/5 and jenny eat 1/10 what fraction of the box i left
The fraction of chocolate left in the box is [tex]\frac{1}{6}[/tex].
In mathematics, what is a fraction?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.
Given:
Andrew eat = 1/3 of the chocolate,
Jame eats =2/5 of the chocolate
Jenny eat =1/10 of the chocolate
According to the question,
Let the total chocolate = 1
Therefore as per the question,
Chocolate left = 1 – [1/3+2/5+1/10]
[tex]=1- [\frac{1}{3} +\frac{2}{5} +\frac{1}{10} ]\\=1 - [ \frac{10 + 12+3}{30} \\=1-\frac{25}{30} \\= 1 - \frac{5}{6} \\\\= \frac{1}{6}[/tex]
Threfore, the Fraction of chocolate left in box is [tex]\frac{1}{6}[/tex].
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Wyatt went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar. Wyatt purchased 2 more bottles of juice than bottles of soda and they all collectively contain 430 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system.
Please answer with the format.
A system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased are as follows;
Let S = number of bottles of soda.
Let J = number of bottles of juice.
System of Equations:
30S + 40J = 430
J = 2 + S
How to write a system of linear equations?In order to write a system of linear equations to describe this situation, we would assign variables to the number of bottles of soda and number of bottles of juice respectively, and then translate the word problem into algebraic equation as follows:
Let the variable S represent the number of bottles of soda that Wyatt bought.Let the variable J represent the number of bottles of juice that Wyatt bought.Since each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar with both of them having a sum total of 430 grams of sugar, we have the following equation:
30S + 40J = 430 .....equation 1.
Wyatt purchased 2 more bottles of juice than bottles of soda;
J = 2 + S .....equation 2.
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this type of bias occurs when researchers fail to choose a representative sample of potential respondents.
There are three type of bias occurs they are Sampling, record and Anchoring
What is meant by bias?
In general terms, bias refers the action of supporting or opposing a particular person or thing in an unfair way, because of allowing personal opinions to influence your judgment
Here we need to find the type of bias occurs when researchers fail to choose a representative sample of potential respondents.
The first type is, Sampling bias is the phenomenon that happens when a research take a look at layout fails to collect a representative sample of a goal populace and this generally happens due to the fact the selection standards for respondents failed to seize a wide enough sampling frame to represent all viewpoints.
Secondly, Records bias where happens at some stage in the information series step and is not unusual in studies studies that involve self-reporting and retrospective facts series and it may also result from bad interviewing strategies or differing tiers of recall from contributors. the primary types of records bias are: take into account bias.
Finally, Anchoring bias is a cognitive bias that reasons us to depend too heavily on the first piece of statistics we are given approximately a topic.
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which function in the random library will generate a random integer from 0 to the parameter value inclusive?
The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function
What is a function?Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.
What are parts of a function in coding?Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.
From the above definition, we get that
The function in the random library will generate a random integer from 0 to the parameter value inclusive is random.randint() function
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PLEASE HELP!!!!! TIMED ASSIGNMENT
Answer:
The correct Answer is - :
16x¹⁰ + 121
Pick a story problem that includes both integers − and .
Question 2 options:
A: One boxer gains 12 pounds of muscle to train for a fight, but another boxer loses 8 lbs.
B: I lost 12 of my pokemon cards, but found 8.
C: I ate 12 cookies, then I ate 8 more.
D: He road his bike 12 miles then another 8 miles
Answer:
B
Step-by-step explanation:
A department store buys 400 shirts at a cost of $ 7200 and sells them at a selling price of $20 each. Find the percent markup.
Answer:
the mark up is 2$
Step-by-step explanation:
each shirt was baught for 18$ divide 7200 by 400
Please help me it says;
Use the pattern below to determine how many gray squares there would be if there are 15 white squares.
- click photo to see actual question / picture
-*I need help asap please!! thank you
The number of gray squares for 15 white squares based on the given ratio will be 25.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
Number of white squares = 3
Number of gray squares = 5
The ratio of gray squares to white = 5/3
With maintaining the same ratio,
Let's say the number of gray squares for 15 white squares will be x.
The ratio of gray squares to white will be as x/15
Both ratios must be the same for the same pattern.
x/15 = 5/3
x = (5/3)15 = 25
Hence "On the basis of the specified ratio, there will be 25 gray squares for every 15 white squares.".
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Solve for x !!
[tex]\boxed{\underline{\bf 3\left(6x-2\right)=2\left(3x+3\right)}}[/tex]
Thankssss!
The value of x will be;
⇒ x = 1
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;
The expression is,
⇒ 3 (6x - 2) = 2 (3x + 3)
Now,
Since, The expression is,
⇒ 3 (6x - 2) = 2 (3x + 3)
Solve for x as;
⇒ 18x - 6 = 6x + 6
⇒ 18x - 6x = 6 + 6
⇒ 12x = 12
⇒ x = 12/12
⇒ x = 1
Thus, The value of x = 1
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Answer:
x = 1
Step-by-step explanation:
Given equation,
→ 3(6x - 2) = 2(3x + 3)
Now the value of x will be,
→ 3(6x - 2) = 2(3x + 3)
→ (3 × 6x) - (3 × 2) = (2 × 3x) + (2 × 3)
→ 18x - 6 = 6x + 6
→ 18x - 6 - 6x = 6
→ 12x = 6 + 6
→ 12x = 12
→ x = 12/12
→ [ x = 1 ]
Let's check the value of x,
→ 3(6x - 2) = 2(3x + 3)
→ 3(6(1) - 2) = 2(3(1) + 3)
→ 3(6 - 2) = 2(3 + 3)
→ 3 × 4 = 2 × 6
→ 12 = 12
→ [ LHS = RHS ]
Hence, the value of x is 1.
In the number 2,222. 222, how does the 2 in the hundreds place compare to the 2 in the place to its left?.
Answer:
2,000 vs 200 is a big difference, the main reason being that ten 200s is equal to one 2000
Step-by-step explanation:
a florist determines the probabilities for the number of flower arrangements they deliver each day. x 19 20 21 22 23 p ( x ) 0.21 0.23 0.30 0.13 0.13 find the mean, variance, and standard deviation of the distribution rounded to 4 decimal places.
For the given distribution the mean is 20.74 , the variance is 1.652 and the standard deviation is 1.2853 .
In the question ,
probabilities are given ,
the mean is given by the formula,
mean = [tex]\sum[/tex]x*p(x) ,
we get ,
mean = 19*0.21 + 20*0.23 + 21*0.30 + 22*0.13 + 23*0.13
= 3.99 + 4.6 + 6.3 + 2.86 + 2.99
= 20.74
For calculating the Variance we need to subtract the mean for every value x, then we square the result and multiply it by the respectively probability .
19 - 20.74 = -1.74 = (-1.74)²× 0.21 = 0.6357
20 - 20.74 = -0.74 = (-0.74)²× 0.23 = 0.1259
21 - 20.74 = 0.26 = (0.26)²× 0.30 = 0.0202
22 - 20.74 = 1.26 = (1.26)²× 0.13 = 0.2063
23 - 20.74 = 2.26 = (2.26)²× 0.13 = 0.6639
The variance = 0.6357 + 0.1259 + 0.0202 + 0.2063 + 0.6639
= 1.652
the standard deviation = √variance
= √1.652
= 1.2853
Therefore , the values are mean is 20.74 , the variance is 1.652 and standard deviation is 1.2853 .
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what is the domain and range
The function's domain are {4.1, -2, -2.5, -4} and range are {1.1, 2, 3, 0}.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
From the given graph, we have (4.1, 1.1), (-2, 2), (-2.5, 3), (-4, 0)
The domain of functions are={4.1, -2, -2.5, -4}
The range of functions are={1.1, 2, 3, 0}
Therefore, the function's domain are {4.1, -2, -2.5, -4} and range are {1.1, 2, 3, 0}.
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y = 2x - 3
4x = 2y + 6
Answer:
infinite solutions
Step-by-step explanation:
4x=2(2x-3)+6
4x=4x-6+6
4x=4x
these are the same lines so there are infinitely many solutions
hopes this helps
The functions u and w are defined as follows.
u(x) = -2x+1
w(x) = -2x²-1
Find the value of u (w (2)).
u (w (2)) = 0
Answer:
[tex]u(w(2) = 19[/tex]
Step-by-step explanation:
let's evaluate w(2) first
[tex]w(2) = - 2(2) {}^{2} - 1 = - 9[/tex]
at this point let's replace thia value in u(x)
[tex]u( - 9) = - 2( - 9) + 1 = 19[/tex]
What is the volume of a cylinder, in cubic feet, with a height of 20 feet and a base diameter of 8 feet? Round to the nearest tenths place
The required volume of the given cylinder is 1005 ft³.
What is a cylinder?One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.
It is regarded as a prism with a circle as its base in basic geometry.
In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
So, the volume of cylinder formula:
V=πr²h
We have,
Height of 20 ft and diameter of 8 ft.
The radius will be 8/2 = 4 ft.
Now, calculate the volume as follows:
V=πr²h
V=π(4)²20
V=1005.30965
Rounding off: 1005 ft³
Therefore, the required volume of the given cylinder is 1005 ft³.
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WILL MARK BRAINLYESS
PLS HELP LIKE ASAP
Three square mirrors are used for a light reflection experiment. The ratio of the side length of Mirror
A to the side length of Mirror B is 5:6. The ratio of the area of Mirror B to the area of Mirror C is 16:25. The perimeter of
Mirror C is 280 centimeters. What is the area of Mirror A? Round your answer to the nearest tenth of a centimeter.
The area is about _? sqaure centimetres.
Justify your answer.
Answer:
3,398.7 square centimeters.
Step-by-step explanation:
The area of a square is the square of the side length, so the ratio of the areas of the mirrors is equal to the ratio of the side lengths squared. If the ratio of the side lengths of Mirror A to Mirror B is 5:6, then the ratio of the side lengths squared is 5^2:6^2 = 25:36. This means that the ratio of the areas of Mirror B to Mirror C is 25:36.
The ratio of the areas of Mirror B to Mirror C is 25:36, and the ratio of the areas of Mirror B to Mirror C is 16:25, so 25:36 = 16:25. This means that the ratio of the areas of Mirror B to Mirror C is 1:1.5.
The perimeter of Mirror C is 280 centimeters, which means that each side has a length of 280/4 = <<280/4=70>>70 centimeters. The area of Mirror C is the square of this side length, or 70^2 = <<70^2=4900>>4900 square centimeters.
Since the ratio of the areas of Mirror B to Mirror C is 1:1.5, the area of Mirror B is 1.5 times the area of Mirror C, or 1.54900 = <<1.54900=7350>>7350 square centimeters.
The ratio of the side lengths of Mirror A to Mirror B is 5:6, so the side length of Mirror A is 5/670 = <<5/670=58.333>>58.333 centimeters. The area of Mirror A is the square of this side length, or 58.333^2 = <<58.333^2=3398.68>>3398.68 square centimeters. Rounding to the nearest tenth of a centimeter, the area of Mirror A is 3398.7 square centimeters. Answer: {3,398.7}.
Can the triangles be proven similar using the SSS or SAS similarity theorems Brainly?
To demonstrate that ΔKLM ≈ ΔEFG , we can use the SSS Similarity Theorem.
Given,
The ratio of the corresponding sides of the triangles ΔKLM and ΔEFG;
KM/EG = 8/24 = 1/3
KL/EF = 6/18 = 1/3
ML/GF = 5/15 = 1/3
We have to prove that the triangles are similar using SSS or SAS similarity theorems;
SSS similarity theorem;
The two triangles are similar if all three sides of one triangle are in proportion to the three sides of another triangle.
SAS similarity theorem;
The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.
Here, the sides of the triangles are in proportion.
That is,
KM/EG = KL/EF = ML/GF = 1/3
Here,
We can consider SSS similarity theorem to prove that ΔKLM ≈ ΔEFG
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In the diagram below, AB || DF, m/DCE = 104° and
m/CEF = 145°. Find m/B.
Step
1
2
try
Angle
m/DCE = 104°
-
m/CEF = 145°
m/
Select a Reason
Reason
Given
Given
The measure of <B is 41 degree.
What is Property of Parallel line?The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
m<CEF = 145°
m<DCE = 104°
So, <FEC+ <CEB = 180 {Linear Pair}
<CEB = 180- 145
<CEB = 35 degree.
<BCA = < ECB= 104 {Vertically Opposite Angle}
Now, In ΔABC
< ABC+ <BAC + <CAB = 180
104+ 35 + <ABC = 180
<ABC = 180 - 139
m<ABC= 41 degree.
Hence, the measure of <B is 41 degree.
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Find the midpoint of $\overline{pq}$ with endpoints $p\left(-4,\ 3\right)$ and $q\left(4,-1\right)$. Then write an equation of the line that passes through the midpoint and is perpendicular to $\overline{pq}$. This line is called the perpendicular bisector.
Equation of the line that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.
One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.
The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.
Here points are P( -4 ,3 ) and Q ( 4,-1)
Mid -point of PQ :
[tex]=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\[/tex]
Slope of PQ:
[tex]m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}[/tex]
The slope of the line is Perpendicular to PQ
so, slope 2= -1/m
slope 2 = -1/(-1/2)
slope 2 = 2
Equation of the line that passes through the midpoint and is perpendicular to PQ
[tex]y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\[/tex]
2x - y +1 = 0.
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Correct Question:
Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.
What is 3w+9+2w-24=180
Answer:
w = 39
Step-by-step explanation:
3w + 9 + 2w - 24 = 180 , that is
5w - 15 = 180 ( add 15 to both sides )
5w = 195 ( divide both sides by 5 )
w = 39
One spring day, Andres noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 60° F. For the next 9 hours, the temperature rose 2° every 3 hours. For the next 2 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 1° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Andres's data.
The graph of the piece-wise function containing Andres's data is given by the image at the end of the answer.
What is a piece-wise function?A piece-wise function is a function that has different definitions, based on it's input.
The variables in this problem are given as follows:
x: number of hours after 6 a.m.T(x): temperature on hour x.At 6 a.m., the temperature was 60° F, hence the intercept is of:
(0,60).
For the next 9 hours, the temperature rose 2° every 3 hours, hence a line is traced connecting these two points:
(0, 60) and (9, 66).
For the next 2 hours, it rose 2° per hour, hence these two points are connected:
(9, 66) and (11,70).
The temperature then stayed steady until 6 p.m, hence these two points are connected:
(11,70) and (12,70).
For the next 2 hours, the temperature dropped 1° per hour, hence the points at:
(12,70) and (14,68).
The temperature then dropped steadily until the temperature was 66° at midnight, then the points are:
(14,68) and (18,66).
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I need help please
Answer:
Median: 8.15
Mean: 7.6
Mode: 10.1
Step-by-step explanation:
10.1, 12.3, 2.4, 10.1, 4.5, 6.2
2.4, 4.5, 6.2, 10.1, 10.1, 12.3
Median:
(6.2 + 10.1)/2 = 8.15
Mean:
2.4 + 4.5 + 6.2 + 10.1 + 10.1 + 12.3 = 45.6
45.6 / 6 = 7.6
Mode:
10.1
I hope this helps!