Answer: 72
Step-by-step explanation: 3 x 3 x 8 = 72
3 x 3 = 9
9 x 8 = 72
The following table shows the number of times key club students at Peconic high school went to echo beach last summer.
Number of echo beach trips: 5,6,8,9,12,14
Frequency: 8,7,11,15,3,4
a. How many students are in the key club?
b. Find the mean, median, mode, range, variance, and standard deviation for the distribution. Round to the nearest tenth
a) The students in the key club are 48students.
b) The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4
What is meant by standard deviation?The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.
Given,
The number of echo beach trips are 5,6,8,9,12,14.
And also given that the frequencies are 8,7,11,15,3,4
a) The students in the key club are,
∑[tex]F_{i}[/tex]=8+7+11+15+3+4
=48
∑[tex]F_{i}[/tex]=48
Therefore, the students in the key club are 48students.
b) Mean= ∑[tex]X_{i}[/tex][tex]F_{i}[/tex]/∑[tex]F_{i}[/tex]
=397/48
=8.27≈8.3
Therefore, Mean=8.3
Total number of observations=48
Here, it is an even number
[tex](48/2)^{th}[/tex] [tex]24^{th}[/tex]position and [tex]((48+2)/2)^{th}[/tex] or [tex]25^{th}[/tex] position
X 5 6 8 9 12 14
F 8 7 11 15 3 4
position 8 8+7=15 15+11=26 26+15=41 41+3=44 44+4=48
The value of X at [tex]24^{th}[/tex] position is 8 and [tex]25^{th}[/tex] position is also 8
Then, Median=(8+8)/2
=8
Therefore, Median=8.3
Mode= Highest frequency corresponding to X value
=9
Therefore, Mode=9
Range=Highest value-Lowest value
=14-5
=9
Therefore, Range=9
Variance=∑[tex]F_{i}[/tex]([tex]X_{i}[/tex]-[tex]\bar{X}[/tex])/∑[tex]F_{i}[/tex]
=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²
=87.12+37.03+0.99+7.35+41.07+129.96
=303.52
Therefore, variance=303.52
Standard deviation=√variance
=√303.52
=17.4
Therefore, standard deviation=17.4
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Birthday polynomial project 09/28/2004?
What are the slop and Y intercept of the equation 3x - 4y =4
The slope and y-intercept of the linear equation 3x - 4y = 4 will be 3/4 and negative 1, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
3x - 4y = 4
Convert the equation into slope-intercept form, then we have
3x - 4y = 4
4y = 3x - 4
y = (3/4)x - 1
The slope and y-intercept of the linear equation 3x - 4y = 4 will be 3/4 and negative 1, respectively.
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tickets for a school play have one price for students, x, and a different price for non-students, y. The system of equations shown is based on two different ticket orders in which the prices x and y are in dollars. 2x + 3y = 49 and x + 2y = 30
A. What is the first step in solving the system by substitution?
B. Solve the system and explain what your solution represents.
A) x+2y=30
x=30-2y
B) x=8, y=11 and the solutions x and y represent the prices of tickets for students and non students.
What is meant by an equation?An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.
Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.
Given equations are:
2x + 3y = 49
x + 2y = 30
A) From eq 2,
x+2y=30
x=30-2y
B) x and y represents the prices of tickets for students and non students.
2(30-y)+3y=49
60-4y+3y=49
y=60-49
y=11
x=30-2y
x=30-2(11)
x=30-22
x=8
The solutions x and y represent the prices of tickets for students and non students.
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M+4>9 I don’t understand how to solve it
Answer:
Step-by-step explanation:
M= 6 because 6+4=10 which is greater than 9
Whats 5 3/8 - 3 3/4 ?
let's convert the mixed fractions to improper fractions and the subtract.
[tex]\stackrel{mixed}{5\frac{3}{8}}\implies \cfrac{5\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{43}{8}} ~\hfill \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{8}~~ - ~~\cfrac{15}{4}\implies \cfrac{(1)43~~ - ~~(2)15}{\underset{\textit{using this as the LCD}}{8}}\implies \cfrac{43-30}{8}\implies \cfrac{13}{8}\implies {\Large \begin{array}{llll} 1\frac{5}{8} \end{array}}[/tex]
A $500 purchase will be discounted by 35%. What will be the amount owed after the discount?
Answer:
I think your discount price would be $175, and your final price as $325.
Step-by-step explanation:
Answer: the answer would be 175
Step-by-step explanation:
How much more likely is it that a state name begins with "M" than with "A"?
Answer:
Try with this
Step-by-step explanation:
22 that starts with ''m'' and 16 that start with ''a"
Given the table below, write a linear equation that defines the
dependent variable, a, in terms of the independent variable, p.
Someone help
Answer:
a = 4p + 3
Step-by-step explanation:
The general form of a linear equation is y = mx + b
where y is the dependent variable, x the independent variable
m = slope(rate of change)
b = y-intercept which is the value of y when x = 0
In this problem, instead of x we are asked to use p and instead of y we are using a
Therefore we get
a = mp + b
We have to compute m and b
Since b is the value of a when p = 0, we can easily see that a = 3 when p = 0
Therefore:
a = mp + 3
To determine m, take any value of p, find the corresponding a from the table, plug in these values and solve for m
When p = 1, a= 7
So we get
7 = m(1) + 3
7 = m + 3
or
m = 7-3 = 4
So the equation is
a = 4p + 3
You can verify this as correct by plugging in different values for p from the table and checking if you get the corresponding a value
Julia has made 9 posts while trying out a new social media platform. Starting now, she plans
to make 1 post daily.
Write an equation that shows how the total number of posts, y, depends on the number of
elapsed days, x.
y
Submit
The equation that shows how the total number of posts depends on the number of elapsed days is y = 9 + x
What equation will show the total post?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the total post be represented by y
Let the daily post be represented by x
Since Julia has made 9 posts while trying out a new social media platform. Starting now, she plans to make 1 post daily. This will be illustrated thus:
y = 9 + (1 × x)
y = 9 + x
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Each day for three weeks, Kenisha records the number of eggs her chickens lay. The frequency table
shows her data.
On how many days did Kenisha's chickens
lay 5 or more eggs?
?
days
Number of Eggs
3
4
5
6
7
Frequency
!!
11
Answer:
12
Step-by-step explanation:
add the number of days that the chicken laid 5 or more eggs
5 + 5 + 2 = 12
From the given frequency table, we observe that the chicken lays 5 or more eggs on day 4, 5 and 6, and the eggs laid by the chicken are the greatest on day 4.
What is a frequency table?A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension. Two or three columns make up a frequency distribution table.
here, we have,
All of the results are shown in the first column as individual values or as class intervals.
The table's second column contains the results' totals, which also display the frequency as vertical lines. It's not required.
The frequency of each result is revealed in the third column.
The frequency table uses lines to depict the number of laid eggs. Here, 5 is represented using a hashed line over four lines. Thus, we see that the maximum number of eggs laid are 6, on day 4.
Also, the chicken lays 5 or more eggs on day 4, 5 and 6.
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22. Given f(x)=10x & g(x)=2x-4
Find the value of f(1)
Find the value of g(3)
Find the value of f(1)+g(3)
Find the value of f(10)-g(0)
Answer:
f(1)=10
g(3)=2
f(1)+g(3)=12
f(10)-g(0)=104
Step-by-step explanation:
f(x)=10x
g(x)=2x-4
f(1)=10×1=10
g(3)=2×3-4=2
f(1)+g(3)=10+2=12
f(10)-g(0)=(10×10)-(2×0-4)=100+4=104
NO LINKS!! Determine if the figures have line, point, and/or rotational symmetry. Check all that apply. Part 3
Recall properties of symmetry:
Line - reflection mirror,Rotational - you can rotate it about its center and it will overlap with the initial shape after minimum of 180 degrees rotation,Point - acting as a midpoint of the segment formed by opposite points.Using the properties we can state that:
#9It has no symmetry.#10It has rotational and point symmetry but not line.#11It has a line symmetry.#12It has rotational and point symmetry.4. A seed is planted in a glass pot and its height is measured in centimeters
every day. (Lesson 3-4)
Height (cm)
3
2
5
2
-3
-4
-5
HATH
3 6 9 12 15 18 21 24 27 30
Days
The best fit line is given by the equation y = 0.404x - 5.18, where y
represents the height of the plant above ground level, and x represents the
number of days since it was planted.
a. What is the y-intercept of the best fit line? What does the y-intercept of the line mean in this situation? Is it reasonable?
The y-intercept of the line of best fit is -5.18cm and it is showing the initial height of the plant immediately it was planted and it is not reasonable because it shows a negative height
The general form of the equation of a line in slope intercept form is expressed as;
y = mx + c
where;
m is slope
c is y-intercept.
Now, we are given the equation of the line of best fit as;
y = 0.404x - 5.18
where;
y represents the height of the plant above ground level.
x represents the number of days since it was planted.
a) From the given equation, we see that the slope is; m = 0.404 and that the y intercept is -5.18.
Now, what the y-intercept means is that the height of the plant is 5.18 cm below the ground and this is not reasonable.
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A company orders 25 boxed lunches from a deli for $208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
10 Find the value of 2x+y for the simultaneous equations.
3x + 5y = 48
2x-y=19
y=3
x=11
hence answer 25
3x+5y=48
2x-y=19
eliminate x to find y
(3x+5y=48)2
(2x-y=19)3
(6x + 10y. = 96)
- minus direct
(6x - 3y. = 57)
=
13y = 39
Note: (10y -(-3y)=13y)
divide by 13 to remain with y
y =3
substitute to any equation to get x lets pick second one
2x-(3)=19
2x-3=19
2x=19+3
2x/2=22/2. (to remain with x value)
x=11
therefore 2x+ y results to 2(11) +3=25
Answer:
2x + y = 25
Step-by-step explanation:
Given equations:
[tex]\begin{cases} 3x + 5y = 48\\\;\;2x-y=19\end{cases}[/tex]
Rearrange the second equation to isolate y:
[tex]\implies 2x-y=19[/tex]
[tex]\implies 2x-19=y[/tex]
Substitute the found expression for y into the first equation and solve for x:
[tex]\implies 3x+5y=48[/tex]
[tex]\implies 3x+5(2x-19)=48[/tex]
[tex]\implies 3x+10x-95=48[/tex]
[tex]\implies 13x=143[/tex]
[tex]\implies x=11[/tex]
Substitute the found value of x into the equation for y and solve for y:
[tex]\implies y=2x-19[/tex]
[tex]\implies y=2(11)-19[/tex]
[tex]\implies y=22-19[/tex]
[tex]\implies y=3[/tex]
Therefore, the solution of the given system of equations is:
x = 11, y = 3To find the value of 2x + y, substitute the found values of x and y into the expression and solve:
[tex]\begin{aligned}\implies 2x+y&=2(11)+3\\&=22+3\\&=25\end{aligned}[/tex]
Therefore:
2x + y = 25Write a proportion and solve. What is the height of each tree? 18.3 m 9.8 m 32.9 m
Answer: The tree is 17.62m high
Step-by-step explanation:
32.9 divided by 18.3, take that answer and multiply it by 9.8.
***My answer was rounded***
HELP ASAP PLEASE!!!!!!
Answer:
the answer is 0
Step-by-step explanation:
An exponential function () = ab passes through the points (0, 2000) and (3, 1458). What are the values
of a and b?
a = 2000 and b = 0.5
Parent wish to have 80,000 available for a child education. If the child is now 5 years old, how much money must be set aside at 8% coompounded semiannually to meet their financial goal when the child is 18
Answer:
To meet the financial goal of having 80,000 available for a child's education when they are 18, the parents must set aside $25,945.90 at 8% compounded semiannually.
Step-by-step explanation:
Simplify the fraction to lowest terms, and enter your answer below as a
fraction, using the slash mark (/) as the fraction bar.
16
24
Answer:
[tex]\sf \dfrac{2}{3}[/tex]
Step-by-step explanation:
To simplify a fraction, divide the numerator and denominator by their greatest common factor (GCF).
List all the factors of 16 and 24:
Factors of 16: 1, 2, 4, 8, 16Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Therefore, the greatest common factor is 8.
So to reduce 16/24 to its lowest terms, divide the numerator and denominator by 8:
[tex]\implies \sf \dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]
6x + 45 is less than or equal to 240
Answer: neither
Step-by-step explanation:
To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.
Find g(x), where g(x) is the translation 5 units down of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
If we want to translate (aka move) [tex]f(x) = x^2[/tex] down 5 units, we need to subtract 5 from the [tex]x^2[/tex].
[tex]g(x) = x^2-5[/tex]
The [tex]k[/tex] in the [tex]a(x-h)^2 +k[/tex] form will always be the vertical translation component. If you translate up, [tex]k[/tex] is positive. If you translate down, [tex]k[/tex] is negative.
100 POINTS
The two-way frequency table contains data about students' preferred exercise.
What is the joint relative frequency of students who like running and swimming?
45%
37%
28%
14%
Answer:
28
Step-by-step explanation:
hope this helps if its wrong really sorry
What are the characteristics of a density curve? Select all that apply.
A. The area under the curve always sums to 100%.
B. The area between any two points is always less than 0.25.
C. The percentage of values between any two points on the x-axis is
the area of the figure formed by the curve and the x-axis.
D. The curve always falls on or above the x-axis.
c
Step-by-step explanation:
Because is líke a graphbyou could draw on it but your are going to alway use x.
Divit earned $1,420 each month for 3 months this summer working as a lifeguard he spent $450 on a new bike and put half of the rest of his earnings in a savings account?
HELP ME OUT HELP ME OUT
Answer:
r = 12
Step-by-step explanation:
Ryan has a major problem of overspending from each of his paychecks, even though his ultimate goal is to be saving money for college. His friend Sydney says Ryan's problem is that he's too worried about "keeping up with the Joneses." What does Sydney mean by this?
A.Ryan's college savings goals are too lofty, which is why he can't achieve them
B.Ryan is buying too many material things or spending too much on experiences so that he feels on par with his peers
C.Ryan is imitating a famously wealthy family -- the Joneses -- from American history
D.Ryan doesn't know the 50-20-30 rule for budgeting, so he needs to take a financial management class like the fictitious "Jones" family would do in this situation
Answer: B. Ryan is buying too many material things or spending too much on experiences so that he feels on par with his peers
Idioms
Idioms are phrases or expressions that have a specific meaning that is different from the meaning of the individual words, for example, the idiom "you have bitten off more than you can chew" implies that someone is trying to do something that is too difficult for him/her.
"Keeping up with the Joneses" is an idiom that refers to the urge to keep up with the social status, wealth, or popularity of other people around us. This situation causes someone to constantly compare himself/herself with others and buy the same goods in order to show that he/she has as much money as other people.
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please help me with d-f
d. The coordinates of the vertical intercept of the function are given as follows: (0,20), meaning that the initial height of the rocket is of 20 feet.
e. The practical domain of the function is of: [0, 9.506]
f. The practical range of the function is of: [0, 371.563].
What is the intercept of the function?The function is given as follows:
h(t) = -16t² + 150t + 20.
The intercept represents the initial height of the rocket, that is:
h(0).
Hence:
h(0) = -16(0)² + 150(0) + 20 = 20 feet.
Hence the coordinates are:
(0,20).
What are the domain and the range of the function?For the practical domain, we have that:
The rocket was launched at a time of 0 seconds.The rocket hit the ground at a time of 9.506 seconds.For the practical range, we have that:
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A car travels for 7 hours at 55 miles per hour. Use the formula d = r. t, where d =
distance, r = rate, and t = time, to find the distance the car traveled.
The distance traveled is
miles.
The solution is
The distance traveled is 385miles