Santos takes the train into the city five days a week for work. For one work week, he kept track of how many minutes long each train ride was: 48, 51, 48, 48, 50
Calculate the mean, median, range, and midrange of the train ride times for the week.
The mean, median and range of the given data are respectively; 49, 48 and 3.
How to calculate mean, median and range?Formula for mean is;
Mean = Total sum/sample size
Total sum = 48 + 51 + 48 + 48 + 50
Total sum = 245
Sample size = 5
Mean = 245/5
Mean = 49
To get the median, we arrange in ascending order and pick the mid term.
48, 48, 48, 50, 51
Median is mid term which is 48.
Range is difference between highest and lowest term.
Range = 51 - 48
Range = 3
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The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting a black marble.
A. 0.27
B. 0.33
C. 0.40
D. 0.60
The required probability of selecting the black marble is given as 0.40. Option C is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of marbles in the bag = 15
Number of black marble = 6 [from the table]
Now,
The experimental probability of selecting a black marble,
= Number of black marble/Total number of marbles
= 6/15 = 0.40
Thus, the required probability of selecting the black marble is given as 0.40. Option C is correct.
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The total number of people that went to the out of town tournament was 42. How many players in chaperones went on the trip?
Answer:7 jogadore participaram do jogo
what is the GCF of 36+60
Answer:
The GCF (Greatest Common Factor) of two numbers is the largest number that divides both of them. In this case, the GCF of 36 and 60 is 12.
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Two spoiled dogs eat a total of 18 treats in a certain amount of time. How many spoiled dogs will eat 72 treats in the same amount of time, assuming each dog eats treats at the same time
Answer:
8 spoiled dogs can eat 72 treats
Step-by-step explanation:
Answer:
8 spoiled dogs
Step-by-step explanation:
2 spoiled dogs = 18 eaten treats
18 eaten treats x 4 =72 eaten treats
2 spoiled dogs x 4 = 8 spoiled dogs
what is the estimated sum of 4 5/12 + 3 8/14
A.7
B.7 1/2
C.8
D.9
The estimated sum of 7 83/84 is 8 to the nearest whole number.
Addition of mixed fractions:Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.
Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.
Using the first process:
= 4 5/12 + 3 8/14
The whole number are 4 and 3, adding those two together, we have:
= 7 (5/12 + 8/14)
The L.C.M of 12 and 14 is 84.
= 7( (7×5)+ (6*8) ) /84
= 7 (35+ 48/84)
= 7 (83/84)
To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.
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A relation R on a set A is defined to be irreflexive if, and only if, for every x ∈ A, x R x; asymmetric if, and only if, for every x, y ∈ A if x R y then y R x; intransitive if, and only if, for every x, y, z ∈ A, if x R y and y R z then x R z. Let A = {0, 1, 2, 3}, and define a relation R2 on A as follows. R2 = (0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) Is R2 irreflexive, asymmetric, intransitive, or none of these? (Select all that apply.) R2 is irreflexive. R2 is asymmetric. R2 is intransitive. R2 is neither irreflexive, asymmetric, nor intransitive.
Answer:
OMG IM ON THE SAME QUESTION
Step-by-step explanation:
Is the ordered pair (5,2) a solution of the equation f (x) = x - 3?
Answer:
Yes
Step-by-step explanation:
Step 1: Define
f(x) = x - 3
(5, 2) is equal to x = 5, f(x) = 2
Step 2: Substitute and Evaluate
2 = 5 - 3
2 = 2
quadrilateral PQRS is a scaled copy of quadrilateral ABCD Point p corresponds to A, q to B R to c and s to d
If the distance from P to R is 3 units, then the distance from Q to S is; 3 units
How to Interpret a scaled graph?
We are told that quadrilateral PQRS is a scaled copy of quadrilateral ABCD. Thus, this means that;
P → A
Q → B
R → C
S → D
We are also told that the length of PR = 3 units.
Now, from the given image, we see that;
AC = 6 and BD = 6
We also know that;
AC corresponds to PR
BD corresponds to QS
Due to the fact that AC and BD have the same side lengths, then it means that PR and QS will have the same side lengths.
Therefore, the value of QS is: QS = 3
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Complete question is;
Here is Quadrilateral ABCD.
Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD Point P corresponds to A.
Q to B. R to C. and S to D.
1. If the distance from P to R is 3 units, what is the distance from Q to S?
The graph shows the ratio of goals attempted to goals made for two soccer players, Andres and Deyvi. Which player has a better record of making goals? Explain how you know.
Answer: Andres
Explanation:
y = goals made
x = goals attempted
For Andres, his ratio is y/x = 4/8 = 1/2 = 0.50 meaning that he made 50% of his attempts
For Deyvi, the ratio is y/x = 9/20 = 0.45 = 45%
Andres has the better record.
Which of the following exponential functions goes through the points (1, 12) and (236)
Answer:237 . 12
Step-by-step explanation:
pleas give me a BRAINLY pleas
Answer:
y = 4\((3)^{x}\)
Step-by-step explanation:
For an exponential function in the form
y = a \(b^{x}\)
Use the given points to find the values of a and b
Using (1, 12), then
12 = ab → (1)
Using (2, 36), then
36 = ab² → (2)
Divide (2) by (1)
\(\frac{36}{12}\) = \(\frac{ab^2}{ab}\) , then
3 = b
Substitute b = 3 into (1) for value of a
12 = 3a ( divide both sides by 3 )
4 = a
Thus
y = 4\((3)^{x}\) ← is the exponential function
There are 35 tables at the wedding. The tables can be lined up in equal-sized rows. Which list shows all the possibilities for the number of tables that could be placed in each row? 1, 5, 7, 35 3, 9, 35 5, 7, 14 7, 21, 35
Answer:
7, 21, 35
Step-by-step explanation:
Which camera is the farthest from the surface of the water?
Sorry if the picture is blurry! I tried my best!
Answer:
fish camera
Step-by-step explanation:
I think I took the quiz
Answer:
B hope this helps
Step-by-step explanation:
Someone plz help me with this problem;)
Answer:
a. 16
b. 343
hope this helps
One angle of an isosceles triangle measures 32°. Which other angles could be in that isosceles
triangle?
Answer:
32° and 116°
Step-by-step explanation:
An isosceles triangle has two equal angles and the other angle is found by subtracting the sum of the two equivalent angles from 180°.
Since, one of the angles are given in the problem, one of the angles is 32°.
To find the other angle, we subtract the two angles from 180°.
180° - 32° - 32°
116°
The other two angles are: 32° and 116°
Help me out Wishing! Solve the following: (x+3)(x+1)
Answer:
\(x^2+4x+3\)
Step-by-step explanation:
\((x+3)(x+1)= \\\\(x)(x)+(x)(1)+(3)(x)+(3)(1)= \\\\x^2+x+3x+3= \\\\x^2+4x+3\)
Hope this helps!
Answer:
\( {x}^{2} + 4x + 3 \\ solution \\ (x + 3)(x + 1) \\ = x(x + 1) + 3(x + 1) \\ = {x}^{2} + x + 3x + 3 \\ = {x}^{2} + 4x + 3\)hope this helps...
Good luck on your assignment....
In 1990, the cost of tuition at a large Midwestern university was $94 per credit hour. In 2004, tuition had risen to $290 per credit hour.
Determine a linear function
C
(
x
)
to represent the cost of tuition as a function of
x
, the number of years since 1990.
The linear function c(x) to represent the cost of tuition as a function of "the number of years since 1990" denoted by "x" is \([c(x) = 14x+94]\).
As per the question statement, the cost of tuition at a large Midwestern university was $94 per credit hour in 1994 while it had risen to $290 per credit hour in 2004.
We are required to determine a linear function c(x) that represents the cost of tuition as a function of "the number of years since 1990", denoted by "x".
To solve this question, we need to know the equation of a line passing through two points (x₁, y₁) and (x₂, y₂) which goes as
\((y-y_{1} )=(\frac{y_{2} -y_{1} }{x_{2} -x_{1}})(x-x_{1})\).
Here, if we consider (x = 0) at 1990, c(x) = 94.
And since the standard form of conversion of functions into coordinate points goes as [y = f(x)], i.e., the ordinate is a function of the abscissa, therefore in this case, [y = c(x) = 94].
Thus, we can consider (x₁, y₁) as (0, 94).
Similarly, at 2004, [x = (2004-1990) = 14], and c(x) = 290, i.e.,
We can consider as (x₂, y₂) as (14, 290).
Using the values of (x₁, y₁) and (x₂, y₂), in the above mentioned standard equation of line passing through two points, we get,
\((y-94)=\frac{290-94}{14-0} (x-0)\\or, (y-94)=\frac{196}{14}x\\or,(y-94)=14x\\or,y=14x+94\).
Hence, the linear function c(x) that represents the cost of tuition as a function of "the number of years since 1990", denoted by "x" is \([c(x) = 14x+94]\).
Linear Function: In Mathematics, a function is an operator which when provided with a input, gives a certain output, and when a function can be depicted in form of a linear equation, it is known as a linear function.To learn more about Linear Functions, click on the link below.
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What needs to occur for a geometric series to converge?
Given a Geometric Series:
\(\sum_{n\mathop{=}1}^{\infty}a\cdot r^{n-1}\)Where "r" is the ratio.
By definition:
\(undefined\)evaluate the expression when b = 4 and y = -6.
-b + 5y
Answer:
Answer = -34
Step-by-step explanation:
B = 4 ; y = -6
So,
-4 + (5) (−6)
= −4 + −30
= −34
Hope you get it :)
The value of expression will be;
⇒ - 34
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,
⇒ - b + 5y
And, The values are,
⇒ b = 4, y = - 6
Now,
Since, The expression is,
⇒ - b + 5y
Substitute b = 4, y = - 6, we get;
⇒ - 4 + 5 × - 6
⇒ - 4 - 30
⇒ - 34
Thus, The value of expression is,
⇒ - 34
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Mathematical connection A lighthouse casts a revolving beam of light as far as the pier
The light's coverage area is given mathematically as i.e. Area=\(\pi d^{2}\)
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = \(\pi r^{2}\){ where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region=\(\pi d^{2}\) {where d is the radius of region}
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The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
84° 68° 95° x°
Answer:
x=113
Step-by-step explanation:
because 95 + 84 + 68 is 247 360 - 247 = 113
what digit is in the
Given the numbers 898 and 169, we are asked to extimate the product by rounding up to the nearest 100.
In order to estimate products, we round the given numbers to the required place value. Estimating products help us to check the reasonableness of an answer. To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.
Therefore, we must round 898 and 169 to the nearest hundred. But numbers would be rounded up
\(\begin{gathered} 898\rightarrow900 \\ 169\rightarrow200 \end{gathered}\)We can then proceed to multiply the rounded numbers.
Thus;
\(900\times200=180000\)Answer: The estimated product is 180000
Which is greater -64 and -35
Answer:
-35
Step-by-step explanation:
In the number line, -35 comes before -64 and -35 is nearer to zero than -64. so -35 is your ans.
Thanks.
Please help me asap!
Answer:
Value of A is -1
Value of B is 1
41.628 divid by 1,000
Answer:
41.628
Step-by-step explanation:
i dont know how but that is what the calculator said
if instead the triangle on the left had the same area as the circle on the right
If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.
Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.
This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.
Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.
Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.
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Solve for h -110=13+3(4h-6)
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Martina is going to watch a movie in her collection. She has 10 action movies, 5 comedies, and 8 dramas.
She will randomly select one movie. What is the probability that the movie she selects is not a drama?
Write your answer as a fraction in simplest form.
Answer:
15/23
Step-by-step explanation:
In total, Martina has a collection of 10 + 5 + 8 = 23 movies. 23 is the total number of outcomes, so that shall be the denominator. Now, she has 10 + 5 = 15 movies that aren't drama. Since this is the number we're counting, this will be the numerator. The probability as a fraction, thus, will be 15/23.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38
MARK
The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.
What are mixed numbers?Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).
The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.
2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.
The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.
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Question :
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38/47