Using lateral limits, the correct option is:
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
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For a limit of a function f(x) to exist at a point a, it is needed that:
[tex]\lim_{x\rightarrow a^-} f(x) = \lim_{x\rightarrow a^+} f(x)[/tex]
That is, it has to approach a from both sides toward the same value, it cannot be oscillating.
These limits found, approaching a from close but smaller values, [tex][tex]\lim_{x\rightarrow a^-} f(x)[/tex], and from close but greater values, [tex]\lim_{x\rightarrow a^+} f(x)[/tex], are called lateral limits.
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From the table, looking at the value slightly less than 9, it can be said that: [tex]\lim_{x \rightarrow 9^-} f(x) = 4.73[/tex]Looking at the value slightly more than 9, it can be said that: [tex]\lim_{x \rightarrow 9^+} f(x) = -4.73[/tex]Since the lateral limits are different, the limit does not exist, and the correct option is:
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
A similar question is given that https://brainly.com/question/23630768
Answer:
A
Step-by-step explanation:
What is the value of b?
Answer:
105°
Step-by-step explanation:
since its a straight line then put it equal to 180. First we add and then subtract from 180, like this.
52+23=75
180-75=105
app 19.study
Tools
Tools
Probability
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.
Complete the table below.
0.232
37
24
0.176
18
0.048
0.104
22
Result of Roll
Frequency
Experimental
Probability
1
2
13
3
0.144
4
29
5
0.296
6
Reset
Submit
Answer:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 125[/tex]
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
[tex]Pr = \frac{Frequency}{n}[/tex]
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]
[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]
[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]
When the frequency is to be calculated, we use:
[tex]Pr = \frac{Frequency}{n}[/tex]
[tex]Frequency = n * Pr[/tex]
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
[tex]Frequency(3) = 125 * 0.144 = 18[/tex]
[tex]Frequency(5) = 125 * 0.296 = 37[/tex]
For roll of 1 where the frequency and the probability are not known, we use:
[tex]Total \ Frequency = 125[/tex]
So:
Frequency(1) added to others must equal 125
This gives:
[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]
[tex]Frequency(1) + 103 = 125[/tex]
Collect like terms
[tex]Frequency(1) =- 103 + 125[/tex]
[tex]Frequency(1) =22[/tex]
The probability is then calculated as:
[tex]Pr(1) = \frac{22}{125}[/tex]
[tex]Pr(1) = 0.176[/tex]
So, the complete table is:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minutes on three different airlines. The results are:
Goust Jet Red Cloudtran
51 50 52
51 53 55
52 52 60
42 62 64
51 53 61
57 49 49
47 50 49
47 49
50 58
60 54
54 51
49 49
48 49
48 50
Required:
a. Use the α =0.05 significance level and the six-step hypothesis-testing process to check if there is a difference in the mean flight times among the three airlines.
b. Develop a 95% confidence interval for the difference in the means between Goust and Cloudtran
Solution :
We know that
[tex]$H_0: \mu_1 = \mu_2=\mu_3$[/tex]
[tex]$H_1 :$[/tex] At least one mean is different form the others (claim)
We need to find the critical values.
We know k = 3 , N = 35, α = 0.05
d.f.N = k - 1
= 3 - 1 = 2
d.f.D = N - k
= 35 - 3 = 32
SO the critical value is 3.295
The mean and the variance of each sample :
Goust Jet red Cloudtran
[tex]$\overline X_1 =50.5$[/tex] [tex]$\overline X_2 =50.07143$[/tex] [tex]$\overline X_3 =55.71429$[/tex]
[tex]$s_1^2=19.96154$[/tex] [tex]$s_2^2=14.68681$[/tex] [tex]$s_3^2=36.57143$[/tex]
The grand mean or the overall mean is(GM) :
[tex]$\overline X_{GM}=\frac{\sum \overline X}{N}$[/tex]
[tex]$=\frac{51+51+...+49+49}{35}$[/tex]
= 52.1714
The variance between the groups
[tex]$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$[/tex]
[tex]$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$[/tex]
[tex]$=\frac{127.1143}{2}$[/tex]
= 63.55714
The Variance within the groups
[tex]$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$[/tex]
[tex]$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$[/tex]
[tex]$=\frac{669.8571}{32}$[/tex]
= 20.93304
The F-test statistics value is :
[tex]$F=\frac{s_B^2}{s_W^2}$[/tex]
[tex]$=\frac{63.55714}{20.93304}$[/tex]
= 3.036212
Now since the 3.036 < 3.295, we do not reject the null hypothesis.
So there is no sufficient evidence to support the claim that there is a difference among the means.
The ANOVA table is :
Source Sum of squares d.f Mean square F
Between 127.1143 2 63.55714 3.036212
Within 669.8571 32 20.93304
Total 796.9714 34
traapezoid height 12 yd, bases 6yd and 8yd
Answer:
84 yards squared
Step-by-step explanation:
Use the formula- A= 1/2(b1 +b2)h
So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)
Find the surface area of each figure. Round answers to two decimal places. Use 3.14 for pi
Answer:
the top wpuld be 73.14 and i cant see the numbers at the bottom
Step-by-step explanation:
The total surface area of the given figure which has cone and hemisphere is 944.08 square inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let us find the height of the cone by using pythagoras theorem
7²+h²=15²
49+h²=225
Subtract 49 from both sides
h²=225-49
h²=176
h=13.2
Now let us find surface area of cone
A=πr(r+√(h²+r²))
A = 482.5
The surface area of hemisphere is 3πr²
A=3×3.14×(7)²
=3×3.14×49
=461.58
The total surface area = 482.5+461.58
=944.08 square inches
Hence, the total surface area of the given figure which has cone and hemisphere is 944.08 square inches
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
VWXY is a parallelogram. Find the value of n.
Help meeee
Answer:
3.5
Step-by-step explanation:
n+7=3n
7=2n
n=3.5
Answer:
n=7/2
Step-by-step explanation:
n+7=3n
-n -n
7=2n
/2 /2
7/2=n
ILL GIVE BRAINLIEST PLS HELP DUE SOON!
Answer:
area of shaded portion = 30.5 cm²
Step-by-step explanation:
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of rectangle = L x W = 8 x 6 = 48 cm²
78.5 - 48 = 30.5 cm²
Find the median for this data set:
23, 34, 35, 37, 41, 43, 43
The median is
Answer:
37
Step-by-step explanation:
37
The coordinates of the following points represent the vertices of a rectangle. W: (3,3) X: (8,3) Y: (8,7) Z: (3,7) What is the perimeter, in units, of rectangle WXYZ?
Answer:
18
Step-by-step explanation:
The answer is B, 18
Answer:
The person above me is correct
Step-by-step explanation:
solve the followin question each question carries
K2-2K-24=0
Answer:
Are u guys solving for k?
Step-by-step explanation:
The more experiments that are performed, the closer the experimental probability gets to the theoretical probability: true or false?
Answer:
True.
Explanation:
The more experiments that are performed, the more data can be collected.
Jeremy homeowners policy has a face value of 56,400 and a 750 deductible. How much will the insurance pay on a a 1,612 loss
Answer: 862
Step-by-step explanation:
A deductible refers to the amount of money that one will have to pay himself or herself toward an insured loss.
It should be noted that when a disaster occurs, the amount of the deductible will be subtracted from the loss. Since the loss is 1612 and the deductible is 750, the insurance company will pay:
= 1612 - 750
= 862
John applied for a loan of $5,000.00 with an annual interest rate of 3% to be repaid monthly for a year. The loan terms include a processing fee of 0.1% of the loan amount and a quarterly administrative charge of 0.05% of the loan amount. What is the total cost of financing?
Answer:
Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates
Step-by-step explanation:
ANSWER FOR BRAINLY, Geometry composition of transformations from delta, i believe this is a reflection over the y axis im not sure, but
is it a (translation, rotation, or reflection) include units, and directions. always starts at the origin.
Answer:
First, reflect across the x-axis. Then, reflect across the y-axis. Or you could switch, doesn't matter.
Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)
I would say A but please wait for someone else to answer to make sure it's not wrong I would hate for you to get this wrong
what is the reciprocal of c^2 + 8
please help!!
Answer:
the answer is the same.....
[tex]\frac{1}{c^2+8}[/tex]
The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.
Answer:
Plate Area = PI * radius^2
Plate Area = 3.14159 * 6 * 6
Plate Area = 113.09724 square inches
Plate Area = 113.1 square inches (rounded)
Step-by-step explanation:
Suppose you have 62 feet of fencing to go around a rectangular flower garden. You want
the length to be 9 feet longer than the width, w. What are the dimensions of the flower garden?
Define your variables, write an equation, and solve. (Hint: Draw a rectangle and label all the sides).
What's the width of the rectangle?
And what's the length?
Answer:
Answer is 9 feet = 9 fe 2t
w= 9fe 2t
Step-by-step explanation:
Given that cos A 165 and sin B = 72, and that angles A and B are both in
Quadrant I, find the exact value of sin(A + B), in simplest radical form.
Given:
[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]
[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]
A and B both lies in I quadrant.
To find:
The value of [tex]\sin (A+B)[/tex].
Solution:
We know that, all trigonometric ratios are positive in first quadrant.
[tex]sin^2\theta +\cos^2\theta =1[/tex]
Using this we get
[tex]\sin^2A +\cos^2A =1[/tex]
[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]
[tex]\sin^2A +\dfrac{16}{65}=1[/tex]
[tex]\sin^2A =1-\dfrac{16}{65}[/tex]
Taking square root on both sides, we get
[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex] [Only positive because A lies in I quadrant]
[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]
[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]
Similarly,
[tex]\sin^2B +\cos^2B =1[/tex]
[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]
[tex]\dfrac{1}{2}+\cos^2B =1[/tex]
[tex]\cos^2B =1-\dfrac{1}{2}[/tex]
Taking square root on both sides, we get
[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex] [Only positive because B lies in I quadrant]
[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]
[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]
Now,
[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]
[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]
[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]
[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]
Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].
What is the volume of the rectangular prism if it's 1.5" by 1" by 3.5"
Answer:
5.25
Step-by-step explanation:
1.5 x 1 x 3.5
f(x)=2x^ 2 +9x Find f(10)
my sister is 12 years older than i am. the sum of our ages is 38. find our ages.
Answer:
you are 13 and she is 25
Step-by-step explanation:
Math
A line is an undefined term because it
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Step-by-step explanation:
I hope it will help you
If f (x ) = -4x – 11, what is f (5)?
Answer:
-31
Step-by-step explanation:
We are given with a function f(x) = - 4x - 11 , and we need to find f(5) . For which , we just have to put x = 5 in f(x) . So , by putting x = 5 , we have
[tex]{:\implies \quad \sf f(5)=-(4\times 5)-11}[/tex]
[tex]{:\implies \quad \sf f(5)=-20-11}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f(5)=-31}}}[/tex]
Consider the scatter plot shown complete the sentence the pattern of association between temperature and time is
Answer:
a
Step-by-step explanation:
is this right please hep
17 meters because 5^2+12^2=17 meaning the answer must be d
Answer:
yes you are right! the answer is c
Step-by-step explanation:
**reminder: the hypotnuse is always your longest side**
first do 5 square = 25
then do 12 squared = 144
now add 25+144= 169
and finally you do 169 square root which equals 13
Hope this helped!
Please hurry I really need this to be answered
Answer:
The answer is (C) BFD
Step by step
We can see that angles DFE and AFB have a common vertex F but they do not have a common side, so the angles are not adjacent. The other options are also incorrect so the answer is C.
Tori's Burgers cooks its burgers either well done or medium. Last night the restaurant served
25 burgers in all, 5 of which were well done. What percentage of the burgers were well done?
Write your answer using a percent sign (%).
x - 2y = 0
2x + y = 5
Joe ate twice as many pieces of Halloween candy as Ed. Together they ate 48 pieces.
How many pieces of candy did Ed eat?
A. 12
B. 16
C. 24
D. 32
Answer: 16
Step-by-step explanation:
Let the number of candy Ed took be denoted as "x"
Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"
Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48
This means:
2x + x = 48
3x = 48
X = 16.