The ages of the students in a statistics class are listed below. If the 18-year-old student has a birthday and turns 19, how will it affect the mean and median ages of the class?
Ages: 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18
A
Both the mean age and the median age will increase.
B
The mean age will increase, and the median age will remain the same.
C
The mean age will remain the same, and the median age will increase.
D
The mean age will remain the same, and the median age will decrease.
The mean age will increase, and the median age will remain the same.
Option B is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Ages:
14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18
The mean of the ages.
= (14 + 15 + 15 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 17 + 18) / 13
= 211/13
= 16.23
The median of the ages.
= 16
Now,
18 becomes 19.
14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 19.
Mean = 212/13 = 16.3
Median = 16
Thus,
The mean age is increased.
The median is the same.
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40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?
Answer:
10/40 were men, or simplified the amount is 1/4 of the total is men
the sum of three consecutive odd integers is 129. find the integers
Answer:
[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]
Step-by-step explanation:
Let the three consecutive integers be x, x + 2 and x + 4
So, the given condition is:
x + x + 2 + x + 4 = 129
3x + 6 = 129
Subtract 6 to both sides
3x = 129 - 6
3x = 123
Divide 3 to both sides
x = 123/3
x = 41
So, the integers are:
x = 41
x + 2 = 41 + 2 = 43
x + 4 = 41 + 4 = 45
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Question 1
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
b. What does the coefficient of the expression in part (a) represent?
Answer:
1a. 195x
1b. 195
Step-by-step explanation:
1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.
1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient
hope this helps!
Mark me as brainiest if you can
need help math problem give you 5 stars and a good rating if you do this
Answer:
Add 9.6 then divide by 3.2
2/5 x 7/9 = ( fractions )
Answer:
32/45 is your required answer
Answer:
your answer will be 14/45
Step-by-step explanation:
2/5 × 7/9
= 2 × 7
5 × 9
= 14/45
Ive been trying to get this question but i still cant seem to understand it please help
Answer:
D:x=2
Step-by-step explanation:
Rest of the triangle is just a distraction. The distance from B to any point in the bysector is the same as the distance from C to the same point (you can look at BDF and CDF and notice they're congruent by SAS). at this point it's just solving
[tex]2x + 3 = 4x - 1 [/tex]
which has 2 as a solution
hello need help question below
What is 5 x 2 3/10 as a mixed number in the simplest form
?
Answer:
11 1/2Step-by-step explanation:
5 × 2 3/10 = 5 × (2 + 3/10) =5 × 2 + 5 × 3/10 = 10 + 3/2 = 10 + 1 1/2 =11 1/2[tex]\large{{\sf{5 \times 2 \frac{3}{10} = \frac{115}{10} = \frac{115 \div 5}{10 \div 5} = \frac{23}{10} = {\large{\underline{\boxed{\sf{\green{11 \frac{1}{2} }}}}}}}}} \\ [/tex]
NO NEED FOR LINKS NEED HELP RIGHT NOW
Answer:
1a.2
2a. 9
3a. 6000
1b. 9000
2b. 3000
3b. 9
Step-by-step explanation:
Hope you could get an idea from here.
Doubt clarification - use comment section.
can someone plssssssss help me
Answer:quizlet helps
Step-by-step explanation:
Pls help plz thank you
Answer:
14, 31, 62
Step-by-step explanation:
11 + 3 = 14
14*2 = 28
28 + 3 = 31
31*2=62
a^3/2a^0 simplify pls i need help
Answer:
a^3/2
Step-by-step explanation:
a^3/2a^0
We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as
a^3/2(1)
We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2
Thus, our simplified expression is
a^3/2
2cosAcosB =
• cos(A + B) + cos(A - B)
• sin(A - B) + tan(A + B)
Answer:
2cosAcosB = cos( A + B ) + cos( A - B )
Can someone help me please
Find the equation of a line whose slope is 6 and passing through (3 , 3 ).
Answer:
y=6x-15
Step-by-step explanation:
y-y1=m(x-x1)
y-3=6(x-3)
y-3=6x-18
y=6x-18+3
y=6x-15
The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was 6 °C.
What is the mean temperature for the first 8 days in January?
Pre college need helppp
Answer:
check online for more information
Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
Let be a line whose equation is:
[tex]a\cdot x + b\cdot y = c[/tex] (1)
Whose explicit form is:
[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
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I can write an equation
Answer: y = -x + 2
Step-by-step explanation:
If you are familliar with the point-slope form this is very helpful
Point-slope:
[tex]y-y_1=m(x-x_1)[/tex]
Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:
[tex]y-(-1) = -1(x-3)[/tex]
Simplify
[tex]y+1=-x+3[/tex]
[tex]y=-x+2[/tex]
5/50 divided by 15/30 solve it out for me please
Answer:
1/5
Step-by-step explanation:
First and foremost, I want to simplify these fractions, just to make everything a lot easier when I actually get to dividing. 5/50 can be divided by 5/5 to get 1/10, and 15/30 can be divided by 15/15 to get 1/2. So, now we're dividing 1/10 by 1/2.
To divide fractions, we can multiply the first fraction (in this case, 1/10) by the reciprocal of the second fraction (in this case, 1/2). The reciprocal of 1/2 is 2, so we can multiply 1/10 by 2 to find our answer. 1/10 × 2 = 2/10, or 1/5, so this is our final answer.
Hopefully that's helpful! If you have any further questions, let me know. :)
The quotient of given fractions is 1/5.
Given that, 5/50 divided by 15/30.
What are fractions?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Now, 5/50 ÷ 15/30
Keep the first fraction 5/50 same change the division symbol and reciprocate the fraction 15/10
That is, 5/50 × 30/15
= 1/10 × 2/1
= 2/10
= 1/5
Therefore, the quotient of given fractions is 1/5.
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find the total amount due on the simple interest loan if the principle is $3000 with a rate of 5% for 10 years
Step-by-step explanation:
hope it will help you......
What is a 15% tip on a meal that costs $38.40?
Answer:
its $5.76
Step-by-step explanation:
because $38.40 / 15 is $5.76
Function 1 is defined by the equation y=-1/4r-5
Step-by-step explanation:
and what is function 2 ?
but I think I can risk a guess based on the little piece of the graph I can see.
the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.
in other words, it is the y-value when x = 0.
the y-intercept of function 1 is therefore -5.
and the picture suggests that the visible line would cross the y-axis at about y=-6.
as -5 is greater than -6, function 1 has the greater y-intercept.
The table shows the number of
flowers used to create bouquets,
based on the number of bouquets.
Bouquets
Flowers
Bouquets Flowers
3. 27
5 45
8i 72
According to the table given, the rate of change is of 9.
The rate of change is given by the change in the output divided by the change in the input.
In this problem:
The input is the number of bouquets.The output is the number of flowers.Taking two of the points, (3,27) and (5,45), we have that:
[tex]m = \frac{45 - 27}{5 - 3} = \frac{18}{2} = 9[/tex]
Hence, the rate of change is of 9, which would be verified taking any pair of two points.
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I need help with this
Answer:
check online for more information
Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18
Answer:
its a.
Step-by-step explanation:
What is 4/5 divied by 2/5
Answer:
2
Have a nice day :D
Answer:
2
Hope this helps
Jorge heard that as a general rule, he should save at least 10% of his take-home pay. If Jorge’s take-home pay is $2950 per month, what is the minimum amount per year that he should save?
Answer:
$295
Step-by-step explanation:
2950 · 0.10 = 295
Circle A has a circumference of 9 cm. Circle B has a radius of 5 cm.
Which circle has the larger circumference?
About how many centimeters larger is it?
Answer:
B has a bigger circumference.
It is larger by 69.5 cm
Step-by-step explanation:
B: 3.14×5²=78.5
A: 9