A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.
What is regression ?
Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).
The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).
Based on a line of best fit, linear regression determines the linear relationship between two variables.
The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..
In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.
Hence, A regression model can only predict values that are lower or higher than the actual value.
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30% of = 30 i need to find some thing 30% that is 30.
Answer:
9
Step-by-step explanation:
We can turn 30% into a decimal, then multiply 30% by 30.
30% = 0.3
0.3*30 = 9
Answer:
9
Step-by-step explanation:
1. Turn 30% into a decimal:
(Move the decimal place over twice to get:)
30% = 0.30
2. Multiply
0.30 x 30 = 9
Solution:
9
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If May is 15 and John is five years older than may and Jay is 15 years older than John. How old is Jay?
Answer:
Jay is 35
Step-by-step explanation:
Creating an equationLet:
x = age of mayy = age of john z = age of jayHere, we are given that
May is 15 so x = 15John is 5 years older than may or y = x + 5 Jay is 15 years older than john or z = y + 15Solving for the agesGiven that x = 15 , y = x + 5 and z = y = 15
We can firstly find the age of john or "y" as we are given the value of x
y = x + 5
==> plug in x = 15
y = 15 + 5
==> add 15 and 5
y = 20
So John is 20
Now that we have the value of y we can easily find Jay's age or the value of z
z = y + 15
==> y = 20
z = 20 + 15
==> add 20 and 15
z = 35
Hence, Jay is 35
Answer:
35
Step-by-step explanation:
i did the math and also try adding them together?
there are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, how many have sprinkles or filling?
There are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, 10 have sprinkles or filling
What is Venn Diagram ?Circles that overlap or do not overlap each other are used in a Venn diagram to illustrate similarities and distinctions between objects or groups of objects.Objects that share characteristics are represented as overlapping circles, whereas objects that are unique stand alone.Venn diagrams are currently utilized in many academic and business settings as demonstrations.Let S represent the set for donut with Sprinklers.
Let F represent the set for donut with Filling.
To find :- How many have sprinkles or filling?
i.e. n ( S ∪ F )
Formula,
n ( S ∪ F ) = n ( S ) + n ( F ) + n ( S ∩ F )
Given,
n ( S ) = 6
n ( F ) = 7
n ( S ∩ F ) = 3
Putting in formula
n ( S ∪ F ) = n ( S ) + n ( F ) - n ( S ∩ F )
= 6 + 7 - 3
= 10
Donuts with Sprinklers or Filling = 10
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find three vectors with which you can demonstrate that the vector cross product need not be associative, i.e., that a x (b x c) need not be the same as (a x b) x c. g
The cross product of three vectors is not associative in nature.
Considering three vectors such as : A=(2,1,3), B=(1,0,2) and C=(1,1,0)
we know that the associative law depicts that :
A x (B x C) = (A x B) x C ,while doing the operation for the considered vectors :
A x (B x C) =(2,1,3)x ((1,0,2)x (1,1,0))
=(2,1,3)x (-2,2,1)
=(-5,-8,6)
(A x B) x C= ((2,1,3)x (1,0,2))x (1,1,0)
= (2,-1,1) x (1,1,0)
=(-1,1,3)
So for this vector operation, A x (B x C) is not equal to (A x B) x C, so you can sum up that cross product of three vectors can't be associative every possible time.
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one morning, ms. simon drove directly from her home to her workplace in 242424 minutes. what was her average speed, in miles per hour, during her drive that morning?
The average speed during her drive that morning would be 43.5 miles/hr.
What is Average Speed?
Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance.
Explanation:
Time = 24 min = 0.4 hr
Entire way = 0.6 + 15.4 + 1.4
= 17.4 miles
[tex]Average \ speed = \frac{Distance}{Time}\\\\Average \ speed = \frac{17.4}{0.4} \\\\Average \ speed = 43.5 miles/hr[/tex]
Hence, The average speed during her drive that morning would be 43.5 miles/hr.
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for question 44 is f(2pi/4) a positive or a negative number
Please help
Answer:
Amplitude = 3
Period = π
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.7cm}\underline{Standard form of a cosecant function}\\\\$y=A\csc(Bx)$\\\\where:\\\\\phantom{ww}$\bullet$ $|A|$ is the stretch factor. \\ \\\phantom{ww}$\bullet$ $\dfrac{2\pi}{|B|}$ is the period.\\\\\phantom{ww}$\bullet$ $x=\dfrac{\pi}{|B|}$ is the interval of vertical asymptotes.\\\end{minipage}}[/tex]
Given function:
[tex]f(x)=3 \csc 2x[/tex]
Therefore:
A = 3B = 2Period
[tex]\textsf{Period} = \dfrac{2 \pi}{|B|}=\dfrac{2 \pi}{|2|}=\pi[/tex]
Amplitude
The amplitude of the given function is 3, so:
minimum points are when y = 3.maximum points are when y = -3.x-values of minimum points
[tex]\begin{aligned}3\csc(2x)=3 \implies \csc(2x)&=1\\\dfrac{1}{\sin(2x)}&=1\\\sin(2x)&=1\\2x&=\dfrac{\pi}{2}+2\pi n\\x&=\dfrac{\pi}{4}+\pi n \end{aligned}[/tex]
[tex]\implies \textsf{Minimum points}: \left(\dfrac{\pi}{4}\pm \pi n,3 \right)[/tex]
x-values of maximum points
[tex]\begin{aligned}3\csc(2x)=-3 \implies \csc(2x)&=-1\\\dfrac{1}{\sin(2x)}&=-1\\\sin(2x)&=-1\\2x&=-\dfrac{\pi}{2}+2\pi n\\x&=-\dfrac{\pi}{4}+\pi n \end{aligned}[/tex]
[tex]\implies \textsf{Maximum points}: \left(-\dfrac{\pi}{4}\pm \pi n,-3 \right)[/tex]
Asymptotes:
[tex]\implies x=\dfrac{\pi}{|B|}=\dfrac{\pi}{|2|}=\dfrac{1}{2} \pi[/tex]
Therefore, there are vertical asymptotes every ¹/₂π.
To graph the given function:
[tex]\textsf{Draw vertical asymptotes at} \;\;x = 0 + \dfrac{\pi}{2} n[/tex][tex]\textsf{Plot minimum points at}\; \left(\dfrac{\pi}{4}\pm \pi n,3 \right)[/tex][tex]\textsf{Plot maximum points at}\; \left(-\dfrac{\pi}{4}\pm \pi n,-3 \right)[/tex]Draw curves between the asymptotes with the given min/max points.On the venn diagram shade the set P' ∩ ( Q ∪ R)
The desired set is shaded on the Venn Diagram given by the image at the end of the answer.
How to shade the Venn Diagram?The first step towards shading the Venn Diagram is finding the meaning of each symbol, as follows:
Symbol U: represents the union of the two sets, and the shaded elements are the elements that belong to at least one of the two sets.Inverted Symbol U: represents the intersection of two sets, and the shaded elements are the elements that belong to both sets.The negation symbol of the elements of P is given as follows:
P'.
The union is applied between the sets:
R and Q.
The intersection is then applied between:
The negative of P and the union of R and Q.
Then the shaded region is given by the elements that belong to at least one of the sets Q or R, without belonging to set P, as shown by the image presented at the end of the answer.
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Lola puts $150 into a bank account
The account pays 4% per annum simple interest
work out the total amount of mo
Answer:$156
Step-by-step explanation:
SI=principal x rate x time/100
=150 x 4 x 1/100
=$6
amount = principal+SI
=150+6
=$156
A meteor crashed onto a planet and caused crater that was 16,495.92 in deep.
Use the table of facts to find the depth of the crater In yards.
Conversion facts for length
Round your answer to the nearest tenth.
12 Inches (in) = 1 foot (ft)
3 feet (ft) = 1 yard (yd)
36 Inches (in) =
yard (yd)
5280 feet (ft) = 1 mile (mi)
1760 yards (yd) = 1 mile (mi)
yd
x5
Answer:
Step-by-step explanation:
The depth of the crater in yards is 387.2 yards
Converting Inches to yards
Since the crater is 13,937.63 in deep, we convert this to yards.
Since 36 in = 1 yard, we use this conversion factor to convert to yards
13,937.63 in × 1 yard/36 in = 387.16 yards
≅ 387.2 yards to the nearest tenth
So, the depth of the crater in yards is 387.2 yards
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The depth created by the meteor in different units will be 1,374.66 feet, 458.22 yards, and 0.26 miles.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A meteor crashed onto a planet and caused a crater that was 16,495.92 inches deep.
The conversion ratio is given below.
12 Inches (in) = 1 foot (ft)3 feet (ft) = 1 yard (yd)36 Inches (in) = 1 yard (yd)5280 feet (ft) = 1 mile (mi)1760 yards (yd) = 1 mile (mi)⇒ 16,495.92 / 12 = 1,374.66 feet
⇒ 16,495.92 / 36 = 458.22 yards
⇒ 1,374.66 feet = 0.26 miles
The depth created by the meteor in different units will be 1,374.66 feet, 458.22 yards, and 0.26 miles.
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an article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 201 of these passed the probe. assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (round your answers to three decimal places.) ,
the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].
What is sample proportion?Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.
The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.
How to solve?
An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.
So,p'=201/356=0.56460
The 95% confidence interval for the proportion of all dies that passed the probe will be,
p∈[p'±zα/2√p'(1−p')/n]
p∈[0.56460±1.96×√0.56460(1−0.56460)356]
p∈[0.513,0.616]
So the 95% confidence interval is [0.513,0.616].
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in how many ways can four people sit in six chairs so that the leftmost chair is occupied and the right most is not
There are 96 ways for four people to sit in six chairs so that the leftmost chair is occupied and the rightmost is empty.
There are 4 guests and the leftmost seat is to be occupied, so there are 4 such ways to choose the occupant of that seat.
Then, for each of those 4 ways, there are 4 ways to decide the occupant for the second seat -- the remaining three people plus the possibility of that seat being empty, that makes a total of 16 ways to decide the configuration of the first two seats.
Then, for each of those 16 ways, there are 3 ways to choose the occupant for the third seat (either 3 remaining guests if the second seat was left empty, or the two remaining guests plus the possibility of leaving the 3rd seat empty). Hence, 16 times 3 is 48. For each of those ways, there are two choices for the next seat, i.e. 48 times 2 = 96, and finally one choice for the fifth seat. So in all, there are 96 ways.
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An airplane is preparing to land at an airport. It is 44,100 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.
Answer:
Step-by-step explanation:you add the nmer than you divid them so when you divd them you answer is right there
A chemical equation contains 4 hydrogen atoms and 2 oxygen atoms in the reactants. How many hydrogen and oxygen atoms should be in the products according to the law of conservation of matter? Responses 2 hydrogen atoms and 4 oxygen atoms 2 hydrogen atoms and 4 oxygen atoms 1 hydrogen atom and 1 oxygen atom 1 hydrogen atom and 1 oxygen atom, 4 hydrogen atoms and 2 oxygen atoms 4 hydrogen atoms and 2 oxygen atoms 5 hydrogen atoms and 1 oxygen atom 5 hydrogen atoms and 1 oxygen atom
The number of hydrogen and oxygen atoms that should be in the products according to the law of conservation of matter, is given as follows:
4 hydrogen atoms and 2 oxygen atoms.
What is stated by the law of conservation of matter?
The law of conservation of matter states that the amount of matter in the solution remains constant, even when the substance has a change in the format.
The amounts on the equation are given as follows:
4 hydrogen atoms.2 oxygen atoms in the reactants.The law of conservation of matter states that the amounts remain constant, hence the amounts of the solution are given as follows:
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The number of hydrogen and oxygen atoms that should be in the products according to the law of conservation of matter, is given as follows:
4 hydrogen atoms and 2 oxygen atoms.
What is stated by the law of conservation of matter?
The law of conservation of matter states that the amount of matter in the solution remains constant, even when the substance has a change in the format.
The amounts on the equation are given as follows:
4 hydrogen atoms.
2 oxygen atoms in the reactants.
The law of conservation of matter states that the amounts remain constant, hence the amounts of the solution are given as follows:
4 hydrogen atoms.
2 oxygen atoms in the reactants.
A quadrilateral has 4 sides. one angle of a regular quadrilateral measures (6w 13)°. determine the value of w. round to the nearest whole number. w = 13 w = 23 w = 59 w = 90
A regular quadrilateral is one in which the lengths of all the sides and the measures of all the angles are equal. A regular quadrilateral must have all of its angles measured (6w 13°) if one of its angles does.
A quadrilateral's angles measure a total of 360 degrees. The total measure of the angles of a regular quadrilateral is 4 (6w 13)°, which equals 24w + 52°. A regular quadrilateral contains four angles, of which each measure (6w 13)°. Thus, we obtain the equation shown below:
24w + 52° = 360°
Solving for w, we get:
24w = 308°
w = 13
Consequently, w has a value of 13, and w = 13 is the right response.
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HELP ME I DONT UNDERSTAND THIS!!!!!!!!!!!!!!
Answer:
x=4
Step-by-step explanation:
4(3x+3)=5(x+8) ------- Given
12x + 12 = 5x + 40
12x-5x= 40-12
7x = 28
x = 4
8x+8
Step-by-step explanation:
from the first you can see that there is a 3 in front of the x and if equal then 8 has to be in front of x as well
Suppose that you have data recording the body weight and the running speed for each of several different jackrabbits. To summarize this data, it suffices to note the mean and SD for each of these two variables. a. True b. False
Answer:
True.
Step-by-step explanation:
I think that it is true because it is asking for a summary of the data and finding the mean of the speeds and weight would give you the summary of all the data.
Ezra applied the distributive property to the expression 8(y+2). He then used the commutative property.
Drag and drop expressions to the boxes to correctly complete the statements. Need help fast!!!!!!!!!!!
Put responses in the correct input to answer the question. Select a reply, navigate to the desired information and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button, or touchpad. Responses can also be moved by dragging with a mouse.
After applying the distributive property, Ezra's expression was the Response area.
After he used the commutative property, his expression was the Response area.
The results of the expressions after the properties are applied in this problem are given as follows:
Distributive property: 8y + 16Commutative property: 16 + 8y.What are the properties?The expression in the context of this problem is defined as follows:
8(y + 2).
The distributive property states that the outside term multiplies each of the inside terms, hence it is applied as follows:
8(y + 2) = 8 x y + 8 x 2 = 8y + 16.
The commutative property states that two terms of an addition can have the order exchanged.
The terms of the addition, after the distributive property, are 8y and 16, hence after the application of the commutative property, the expression is given as follows:
16 + 8y.
As the terms were exchanged.
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f we start at the point (1,3,2), then in what direction should we move if we want to maximize the directional derivative?
To maximize, it has positive direction at x=1 in first quadrant
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).
Given function:
F=x³z - yz²
Find the following :
[tex]\partial F/\partial x+ \partial F/\partial y + \partial F/\partial z[/tex]
= 3x²z + (-z²) + (x³-2yz)
So, gradient = 3x²z -z² + x³-2yz
Find the gradient at (1,3,2):
x=1, y=3 and z=2
gradient = 3*1*2 - 9 +1 - 12 = -14
To maximize, it has positive direction at x=1 in first quadrant = 14
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Bill wanted to try out different water craft. he went 62 miles downstream in a motor boat and 27 miles downstream on a jet ski. his speed on the jet ski was 10 mph faster than in the motor boat. bill spent a total of 4 hours on the water. what was his speed in the motor boat?
The speed of the bill's motor boat is found as 20 mph.
Explain the relation of speed and time?The speed and time relationship is inverse. Distance / time equals speed. If you keep the distance constant, speed rises as time goes down and falls as it goes up.Here, we're trying to determine the motorboat's speed.
The speed on the skis would be (x + 10) mph if his motorboat speed is x mph.
There are four hours in all;
Speed = distance/time mathematically.
Skiing time is 27/x+10.
The motorboat time is 62/x.
The result of adding both is 4.
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x² + 10x)
89x + 620 = 4x² + 40x
4x² -49x-620 = 0
By the quadratic formula;
{-b ± √(b²-4ac)}/2a
In which a = 4, b = -49 and c = -620
= 49 ± √(-49)² -4(4)(-620)/8
Thus,
49+ 111/8 or 49-111/8
As, speed is not negative.
= (49 + 111)/8
= 20 mph
Thus, the speed of the bill's motor boat is found as 20 mph.
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juan ran 3 miles in 45 minutes. at this rate how long will it take juan to run 7 miles
Answer:105
Step-by-step explanation:
if the relationship between total cost and number of units made is linear, and if cost increased by $3 for each additional unit made, and if the total cost of 10 units is $30, find the equation of the relationship between total cost (y) and number of units made (x)
The relation between the total cost y and the number of units made x is
y = 3x.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Given:
The cost (the price) of each single item is $3 and the cost of 10 units is $30.
So, the relation between the total cost y and the number of units made x is
y = 3x.
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the subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x, y}, {w, x, y}, and { } (the empty subset). how many subsets of the set {w, x, y, z} contain w ?
Answer:
4
Four subsets of {w, x, y} contain w.
Step-by-step explanation:
There are four subsets that have w in it:
{w} has w in it.
{w, x} has w in it.
{w, y} has w in it.
{w, x, y} has w in it.
The answer is 4.
for what value of x is line a parallel to line b?
Two lines are parallel : Two lines (in the same plane) are said to be parallel to each other if they never intersect no matter how far they extend to either side.
The value of x is 15° for the given lines i.e a and b are parallel to each other.
As you can see in the picture above, there are two lines , i.e. a and b are parallel to each other.
Properties of parallel lines:
If you have a horizontal line that intersects two parallel lines at two different points, it makes four angles at each point.Corresponding angles formed by two parallel lines and a transverse line are equal. The pairs of interior angles on the same side of the intersection are supplementary angles.Upper and lower diagonals and vertical angles are equal.Alternate interior/interior angles are equal.i.e. angle b° = angle f° and angle a° = angle e°
Now, we conclude that
angle (6x+3)° = angle 93°
=> 6x + 3 = 93
=> 6x = 93 - 3 = 90
=> x = 15°
Hence, the value of x is 15°.
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suppose x is a normal random variable with and find p(x > 105.0). a) 0.9993 b) 0.9994 c) 0.9995 d) 0.0007 e) 0.0006 f) none of the above.
The value of the probability p(x > 105.0) for the given normal random variable is found as 0.6915.
Explain the term normal random variable?A randomly distributed variable with a mean of 0 and a standard deviation of 1 is referred to as a standard random variable. The letter Z will always stand in for it. regularly distributed random variable, also known as a with standard deviation, is a continuous random variable which probabilities are defined by the normal distribution of mean and standard deviation.For the stated question -
The formula for the z score -
z = (x - μ)/σ
In which,
μ = 140 and σ = 20
Put the values-
z = (150 - 140)/20
z = 0.5
p(x > 105.0) = p(z > 0.5)
p(x > 105.0) = 0.6915
Thus, the value of the probability p(x > 105.0) for the given normal random variable is found as 0.6915.
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The complete question is-
suppose x is a normal random variable with μ = 140 and σ = 20 and find p(x > 105.0).
what quotients are equivalent to -48/-17
The quotient of the expression will be;
⇒ 2.823
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The equation is,
⇒ - 48 / - 17
Now,
Solve the equation as;
The equation is,
⇒ - 48 / - 17
After divide we get;
⇒ - 48 / - 17
⇒ 48 / 17
⇒ 2.823
Thus, The quotient of the expression will be;
⇒ 2.823
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15 red cars to 19 blue cars Use to.______ Use a colon._______ Use fraction form._______/ write each ratio please help !!
Answer:
15:19 15/19
Step-by-step explanation:
wisconsin: 5.82\times 10^{6}5.82×10 6 vermont: 6.24\times 10^{5}6.24×10 5 how many times greater was the population of wisconsin than the population of vermont? write your answer in standard notation, rounding to the nearest tenth.
Population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont.
As given in the question,
Population of Wisconsin is equal to 5.82 × 10⁶
Population of Vermont is equal to 6.24 × 10⁵
Let 'x' represents the number of times population of Wisconsin is greater than the Vermont
⇒ x = ( population of Wisconsin ) / (Population of Vermont)
⇒ x = ( 5.82 × 10⁶ ) / ( 6.24 × 10⁵ )
⇒ x = 0.933 × 10⁶⁻⁵
⇒ x = 0.933 × 10¹
⇒ x = 9.3 × 10⁰ ( Standard notation , rounding to nearest tenth)
Therefore, population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont as per given data.
The complete question is:
The approximate populations of Wisconsin and Vermont (as of 2019) are listed below: Wisconsin: 5.82 × 10⁶ Vermont: 6.24 × 10⁵. How many times greater was the population of Wisconsin than the population of Vermont? Write your answer in standard notation, rounding to the nearest tenth.
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How to Graph y=1/2x-3/2
Answer:
See below
Step-by-step explanation:
There is a great free graphing program called Desmos.
y = 1/2 x - 3/2
I highlighted 3 points for you.
The y-intercept is (0, -1.5) This is where the graph crosses the x axis. Another name for -1.5 is -3/2. That is the number that you see at the end of the equation.
The slope is 1/2. Look at the other two points on the line (-1,-2) and (1,-1) If you start at the first point and go up 1 and then 2 right you will end up at the second point. That is the slope.
In a survey of six year olds at a party, 0.83 liked the cake at the party, 0.52 liked the pizza and 0.40 liked the cake and pizza. What is the probability of choosing a six year old who liked the pizza or cake? Round to four decimals, as needed.
Answer:
Step-by-step explanation:
1+1
2/555
103.019 to the nearest tenth
The value of 103.019 rounded to the nearest tenth is 103.0.
What is Rounding Off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For whole numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The significant figures are preserved when numbers are rounded off.
Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding. For instance, 40 when rounded to the nearest ten is 38. Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.
Therefore, the number is 103.0.
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Answer:
103.0
Step-by-step explanation: