Answer:
[tex]Median = 15.80[/tex]
[tex]Mode = 15.20\ \&\ 15.25[/tex]
[tex]IQR = 2.35[/tex]
Step-by-step explanation:
Given
[tex]15.60,\ 18.75,\ 14.60,\ 15.80,\ 14.35,[/tex]
[tex]13.90,\ 17.50,\ 17.55,\ 13.80,\ 14.20,[/tex]
[tex]19.05,\ 15.35,\ 15.20,\ 19.45,\ 15.95,[/tex]
[tex]16.50,\ 16.30,\ 15.25,\ 15.05,\ 19.10,[/tex]
[tex]15.20,\ 16.22,\ 17.75,\ 18.40,\ 15.25.[/tex]
Solving (a): The median and the mode
First, we sort the data.
[tex]13.80,\ 13.90,\ 14.20,\ 14.35,\ 14.60,\ 15.05,\ 15.20,\ 15.20,\ 15.25,\ 15.25,[/tex]
[tex]15.35,\ 15.60,\ 15.80,\ 15.95,\ 16.22,\ 16.30,\ 16.50,\ 17.50,\ 17.55,\ 17.75,[/tex]
[tex]18.40,\ 18.75,\ 19.05,\ 19.10,\ 19.45.[/tex]
The median position is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{25 + 1}{2}[/tex]
[tex]Median = \frac{26}{2}[/tex]
[tex]Median = 13th[/tex]
The 13th item is: 15.80
Hence:
[tex]Median = 15.80[/tex]
The modes are:
[tex]Mode = 15.20\ \&\ 15.25[/tex] --- they both have frequency of 2 while others occur once
Solving (b): The interquartile range
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
Since the median is at the 13th position, Q1 is:
[tex]Q_1 = \frac{1 + 13}{2}th[/tex]
[tex]Q_1 = \frac{14}{2}th[/tex]
[tex]Q_1 = 7th[/tex]
The 7th item is: 15.20
[tex]Q_1 = 15.20[/tex]
Similarly, Q3 is:
[tex]Q_3 = \frac{13+n}{2}[/tex]
[tex]Q_3 = \frac{13+25}{2}[/tex]
[tex]Q_3 = \frac{38}{2}[/tex]
[tex]Q_3 = 19th[/tex]
The 7th item is: 17.55
So:
[tex]Q_3 = 17.55[/tex]
Hence,
[tex]IQR = 17.55 - 15.20[/tex]
[tex]IQR = 2.35[/tex]
-2(8-5) Distributive Property
Answer:
Step-by-step explanation:
- 2 ( 8 - 5 ) = ( - 2 x 8 ) - ( - 2 x 5)
= - 16 - ( - 10)
= - 16 + 10
= - 6
NO LINKS OR ANSWERING IF YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is negative, when
f(x) = (x + 7)(2x - 3)(x - 5). Choose all that apply.
a. -∞ < x < -7
b. -7 < x < 3/2
c. 3/2 < x < 5
d. 5 < x < ∞
9514 1404 393
Answer:
a, c
Step-by-step explanation:
There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.
The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.
In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).
The function is negative on intervals (a) and (c).
find the square root of 20 1/4
Answer:
Step-by-step explanation:
[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]
Determine the number of solutions to the given system without graphing. 2x + y = 2 2x +y = 5
one solution
no solution
infinite number of solutions
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The two lines are parallel, so do not intersect. There is no solution.
- Reali za
Hallar los radicales semejantes y Reali
la operacioh matematica
5178x+y - 2xV507
Answer:fafdafadfaf
Step-by-step explanation:
College credits. A college counselor is interested in estimating how many credits a student typically enrolls in each semester. The counselor decides to randomly sample 100 students by using the registrar's database of students. The histogram below shows the distribution of the number of credits taken by these students. Sample statistics for this distribution are also provided. 25 20 8 15 10- Min Q1 Median Mean SD Q3 Max 13 14 13.65 1.91 15 18 5 5 0 00 10 12 14 16 18 Number of credits (a) What is the point estimate for the average number of credits taken per semester by students at this college
Answer:
[tex]\bar x = 13.65[/tex]
Step-by-step explanation:
Given
See attachment for graph and table
Required
Point estimate of the mean
From the attachment, we have:
[tex]\mu = 13.65[/tex]
So, the point estimate of the mean (i.e. the sample mean) is:
[tex]\bar x =\mu[/tex]
[tex]\bar x = 13.65[/tex]
|x| =3 means that the distance between x and 0 is 3 / true or false
Answer:
True
Step-by-step explanation:
if |x| is 3 then x is either -3 or 3. Either way, the distance from 0 is 3.
Hole this helps! :)
Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π
.
Round your answer to the nearest hundredth.
Answer:
Answer = 3053.63
Step-by-step explanation:
The formula for finding the volume of a sphere is : V = 4/3 πr³
V = 4/3· π · [tex]9^{3}[/tex]
≈ 3053. 62806
Rounded to the hundreths place is 3053.63.
Hello, please I bed urgent help with this math problem please
Answer:
option C
Step-by-step explanation:
[tex]4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5[/tex]
[tex]c = \frac{- b \pm \sqrt{b^2 - 4ax }}{2a} \\\\c = \frac{- 7 \pm \sqrt{49 - ( 4 \times 4 \times - 5 )}}{2 \times 4} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{129}}{8} \\\\[/tex]
Answer:
Option C
Step-by-step explanation:
Quadratic formula:
[tex]4c^{2} +7c-5=0[/tex]
[tex]a=4\\b=7\\x=-5[/tex]
[tex]c=\frac{-b\frac{+}{} \sqrt{b^2-4ax}}{2a}[/tex]
[tex]c=\frac{-7\frac{+}{}49-(4*4*-5) }{2*4}[/tex]
[tex]c=\frac{-7\frac{+}{}\sqrt{129} }{8}[/tex]
hope this helps....
A bank charges 12% simple interest p.a on cash loans to its clients. Titos has asked for a R10 000 loan amount and has promised to repay the loan over 4 years.. 1.4.Calculate the interest which Titos should pay for the loan? 1.1.5. Calculate the total amount tito must pay back after 4 years. 1.1.6. Give one reason why people loan money from banks?
Answer:
1.4. The interest Tito should pay would be R10000 * 12% = R1200 for his first year.
1.1.5. The total amount Tito must pay back after 4 years would be R10000 * (1 + 12%)^4 = R10000 * 1.57351936 = R15735.2 (cor. to 1 d. p.).
1.1.6. People loan money from banks due to financial troubles or to attain startup resources for a company or business venture.
Step-by-step explanation:
Hope this helped!
Answer:
4800
Explanation:
interest=principle × rate × time/100
interest=10000 ×12 × 4/100
interest= 480000/100
interest=4800
amount=interest+principle
amount=4800+10000
amount=14800
people loan money from banks because they need money at a particular point in time where they do not have it
Find all solutions to the equation.
sin x = square root of three divided by two.
Answer:
x = 60°
Step-by-step explanation:
Special Angles :
sin = opposite divided by hypotenuse
opposite of angle 60° is square root of three
hypotenuse is two
Answer:
x=60+k.360 or x =120+k.360
Step-by-step explanation:
[tex]sin x = \frac{ \sqrt{3} }{2 \\ ?} [/tex][tex]ref \: angle = 60 \\ x = 120+ k.360 \\ x = 60 + k360[/tex]k€z3 points If you have the following experimental running times in seconds for some program, mark the one word hypothesis on the order of growth of the running time that best explains the given experimental evidence
Answer:
LogarithmiclinearithmiclinearAnswer:
express the following equation as two statement each using the word varies and proportional i) v(rl=4/3
what is there constant variation of y=kx through (5,8)
The value of constant of variation "k" is
Solution:
Given that the direct variation is:
y = kx ----- eqn 1
Where "k" is the constant of variation
Given that the point is (5, 8)
To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1
Thus the value of constant of variation "k" is k = 8/5 or 1.6
I hope this is correct and helps!
The Table below shows the number of hours ten students spent studying for a test and their svores
Answer:
Step-by-step explanation:
By using linear regression calculator,
Linear regression equation representing the data set will be,
y = 7.79x + 34.27
Correlation coefficient of the line will be,
R = 0.98
Since, correlation coefficient of the line is (+0.98), relation between the two variables is a strong linear relationship.
That means hours spent studying has the strong relation with test scores obtained.
Which facts are true for the graph of the function below? Check all that apply.
Answer:
B.
C.
E.
F.
Step-by-step explanation:
A. no. any log(x) function is increasing. it says to what power I have to put the base to get x. and the bigger x, the bigger also that power number has to be. a log(x) increases much slower than x itself, but it increases.
B. any log(x) can only be calculated for positive x (and not 0).
C. of course. there are no gaps or breaks in a log(x) function. over time, with a growing x, we have to cover every possible y.
D. no. since (0,4) means x=0, this can't be true. as log(0) is power definition undefined (representing minus infinity).
E. yes. see A.
F. yes. for x=1 any log(x) function has to deliver 0 as functional value (to what power do I have to put my base to get 1 ? only base⁰ delivers 1. also 0.725⁰ = 1. therefore, (1,0) is a valid point on the graph.
Help please !!! I will mark brainlist!!
Answer:
x= -0.182 and +4
hope it helps
have a nice day
PLEASE HELPP!!!!
Find the probability that a randomly selected point within the circle falls in the white area. r= 4 cm 2.5 cm 3 cm 3 cm [? ]% Round to the nearest tenth of a percent.
Answer:
61.2%
Step-by-step explanation:
because i just did it and got it right
You are making your schedule for next semester. You have 14 choices for your math class, 12 choices for your English
class, 7 choices for your communications class, and 6 choices for your elective. How many different schedules are
possible?
There are
different schedules possible
asking how many combinations are possible is answered by the following expression:
[tex]14 \times 12 \times 7 \times 6[/tex]
the first step alone offers 14 choices, the second step offers 12 choices. so with these two choices alone there can be 168 different scenarios to choose one from. we just need to keep multiplying for the number of choices we got at each decision to get the number of possible outcomes/configurations
that is
7056
6272 is the answer.
By the fundamental principle of counting, there are
8 * 8 * 7 * 14 = 6272 schedules possible
6272
What is the fundamental principle of counting?In the above problem, we use the basic principle of counting to get the result. The principle of multiplication is that if event A can occur in different ways of x and another event B can occur in different ways of y, then there is an x × y way in which both events occur at the same time. is showing. If
events occur in different ways in m, followed by other events in different ways in n, the total number of events in the specified order is m × n. The basic principle of multiplication.
counts helps you make your choice based on the available choices. ..
Learn more about fundamental principle of counting here:https://brainly.com/question/10275154
#SPJ2
if u can answer all them correctly ill make a post for u and u can have all my coins just pls answer them all im begging
Answer: this is a continuation starting in number 4 (use the same steps as example 3)
Step-by-step explanation:
-12
45
-12
14
32
-2
5
Find the surface area of a cylinder with radius 15 and height 4
Answer: A≈1790.71
Step-by-step explanation:
Answer:
1790.71
Step-by-step explanation:
You can just put this problem in search and it will you the answer
express the standard form53630000
Answer:
5.363×10^8pls mark me as brainliestAnswer:
5.363×10^8
Step-by-step explanation:
Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………
Answer:
Alice: $75
Brian: $125
Step-by-step explanation:
3 + 5 = 8
200 ÷ 8 = 25
25 × 3 = 75
25 × 5 = 125
find an area of a circle
The area of a circle is pi times the radius squared (A = π r²).
Pls Help! the question is down below
I need help I’ll give u brainlest
Answer:
[tex]150[/tex] cubic centimeters
Step-by-step explanation:
Volume for triangular prism is [tex]V=\frac{1}{2} bhl[/tex]
[tex]V=\frac{1}{2}(6)(5)(10)[/tex]
[tex]V=\frac{1}{2} (300)[/tex]
[tex]V=150[/tex]
Hope this helps
Answer:
150 cubic centimeters
Step-by-step explanation:
The formula for the volume of a Triangular prism:
A=1/2*b*h*l
plug everything in
1/2*6*5*10=150 Cubic centimeters
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Dependent probability
In a class of 7, there are 4 students who play soccer.
If the teacher chooses 3 students, what is the probability that none of the three of them play soccer?
Answer:
[tex]\frac{12}{49}[/tex]
Step-by-step explanation:
[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]
Hope this helps.
A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?
Answer:
h≈2.65cm
r Radius
3
cm
V Volume
75
cm³
Using the formula
V=πr2h
Solving forh
h=V
πr2=75
π·32≈2.65258cm
hope it's help ful
Given that a*b = 2ab - 3b. Determine 2*(3*5)
Answer:
15
Problem:
Given that a*b = 2ab - 3b. Determine 2*(3*5)
Step-by-step explanation:
First we find 3*5 using rule a*b = 2ab - 3b.
3*5=2(3)(5)-3(5)
3*5=30-15
3*5=15
Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.
2*15=2(2)(15)-3(15)
2*15=60-45
2*15=15
Therefore, 2*(3*5)=15.
Find the area of the composite figure.
Answer:
25m²
Step-by-step explanation:
it might be helpful for you
Nếu cắt mặt cầu bởi một mặt phẳng chiếu đứng thì hình chiếu bằng của giao tuyến là:
Answer:
Im sorry I can't understand you