It’s :lim f(x)=85 and lim f(x)=120
The limit of the given functions f(x)=85 and lim f(x)=120.
We have given that,
Function f(x) has a jump discontinuity at x = 8.
We have to determine a statement that identifies possible one-sided limits at x = 8.
What is the meaning of discontinuity?lack of continuity or cohesion. gap sense 5. The property of being not mathematically continuous is a point of discontinuity. an instance of being not mathematically continuous, especially a value of an independent variable at which a function is not continuous.
lim f(x)=85 and lim f(x)=120
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A random sample of 8 Samsung Galaxy smartphones being sold over the Internet in 2013 had the following prices, in dollars:
249 349 299 249 149 135
199169
Assume the population standard deviation is alpha = 85.
If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013.
Answer:
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]S_{m} = \frac{249+349+299+249+149+135+199+169}{8} = 224.75[/tex]
Confidence interval:
We have the standard deviation for the population, so the z-distribution is used.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.995}{2} = 0.0025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0025 = 0.9975[/tex], so Z = 2.807.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.807\frac{85}{\sqrt{8}} = 84.36[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 224.75 - 84.36 = $140.39
The upper end of the interval is the sample mean added to M. So it is 224.75 + 84.36 = $309.11
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
1. In order to draw a straight vertical line segment that is 4 units long, which point must be connected to (1, 2)?
A. (7,2)
B) (5,2)
C. (2,7)
D. (1,6)
Answer:
D. (1,6)
Step-by-step explanation:
Vertical line segment:
A vertical line segment has fixed x coordinate.
In this question:
Vertical line segment that is 4 units long and is connected to (1,2).
The x-coordinate is x = 1.
The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.
(1,6) is one of the options, so the correct answer is given by option D.
-2, 6, -18, 54: Write an explicate formula for this sequence
Answer:
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Step-by-step explanation:
Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP. The correct answer was .8 I just don't know how. Thank you.
Answer:
0.54 or 54%
Step-by-step explanation:
P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%
P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%
Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.
Hope this helps!
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she descended 75.3 feet. How many feet had she been below sea level, if she was 154.6 feet below sea level after she descended?
moby max help help help help
una escuela debe transportar 200 estudiantes
Answer: a school must transport 200 students
Step-by-step explanation:
NEED HELP ASAP FREE BRAINLIST
Answer:
D). 10699
Step-by-step explanation:
D is right the math is hard to explain.
NEED HELP QUICK PLEASE HELP
Answer:135
Step-by-step explanation:
[tex]area \: = {135}cm^{2} [/tex]
Step-by-step explanation:
[tex] \: from \: the \: diagram \: we \: have \: 3\: retangles \: \\ [/tex]
area of rectangle = L×B 1 rectangle = 3×2=62 rectangular = 4×2 =8
3 rectangle = (13-2) × (7+4)
= 11×11 =121
total area = 6+8+121=135
calcular el número de lados de aquel poligono cuyo número de diagonales.
1
What is the measure of A?
The measure of A is: 78°
PLEASE HELP 9) (6 pts.) The perimeter of a rectangle is 100 feet. The length is 10 more than 3 times the width. Define variables and write a system of equations that could be used to find the length and width of the rectangle. For this problem you are NOT being asked to solve the system, just to set it up.
Step-by-step explanation:
sorry i am unable to understand what it is asking but if you inform me more i would love to help
How can I use coordinates to find distances determine perimeter and geometric shapes
Answer:
Step-by-step explanation:
sketch it out
Determite weather the ordered pair is a solution of the linear equation x=y+1/2;(-5,-2)
Answer:
(y+1/2 ; y)
Step-by-step explanation:
hello : all ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :
(y+1/2 ; y)
(-5 ; -2) is not solution because y = -2 but -2+1/2 = -3/2 no -5
What expression is equivalent to 3/5
Answer:
9/15
Step-by-step explanation:
a. These triangles are proportional. Identify which sides match up between the two triangles. Please note sides are named from point to point so for instance the length 40 on triangle ABC is referred to as side AB. Make sure to identify all three pairs. b. Set up fractions with your side pairs to show proportionality. Do they all simplify down to the same fraction? If not please go back to Part A and remember that shapes can be rotated or reflected. Make sure to show your work demonstrating that the fractions are proportional. c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
Answer:
a)ab and yz, ac and xy, bc and xz
b)yz = xy = xz 30 = 37.5 = 45 3 = 3 = 3
ab ac bc 40 50 60 4 4 4
c)they are similar because all sides break down to ¾
Step-by-step explanation: this is what i did on my test
A company charges a flat fee for shipping for items ordered online. This relationship can be represented by the equation y = x+5.50
. where x represents the cost of the items ordered and y represents the total cost including shipping.
Move numbers to the table to represent this relationship.
x
y у
1.50
2.00
8.50
5.00
15.50
1.50
1.00
2.00
2.50
3.00
4.00
3.50
4.50
5.50
6.00
6.50
7.00
5.00
7.50
8.00
8.50
9.00
9.50
10.00
10.50
11.00
12.50
11.50
12.00
14.00
13.50
14.50
13.00
15.00
15.50
16.00
16.50
I'm just borrowing a little amount of points thank you sm
Question 1
10 pts
1. Burger Town sells cheeseburgers for $7.95 each plus
an additional $1.00 for each extra topping, t. Which of
the following equations best represents the cost, c, of a
cheeseburger?
O AC = 7.951
OB.C - 8.95
C. c = 7.95t + 1.00
D. C = 7.95 + 1.000
will mark brainlest
Answer: C
Step-by-step explanation:
What is the area of the polygon below?
Answer:
area = 24 units squared
Step-by-step explanation:
area = 1/2 (base 1 + base 2) x height
area = 1/2 (4 + 8) x 4
area = 1/2 (12) x 4
area = 6 x 4
area = 24
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
help please ! i need it asap & do not put any typa link .
Answer:
SU = 32 and <SVT = 32
Step-by-step explanation:
math, i am pretty sure about the angle and positive on the diagonal
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
WHICH HAT HELP THANK YOU WHICH HAT HELP THANK YOU
Answer:
They're both cool but I personally like the first one better lol
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
7.51 cm2
8.6251 cm2
o
10.5 cm
19.551 cm2
Answer: SA≈27.1.
The formula is SA=2πrh+2πr2.
The radius is 0.75 since 1.5 divided by 2=0.75.
Plug it in.
I need help with this!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.
The baby was growing fastest in the first 3 months.
__
13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.
The second attachment shows a graph of the distance versus time.
_____
I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)
A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and
2 green marbles. You randomly choose one marble from the bag. (a) Find
the number of ways the event can occur. (b) Find the favorable outcomes
of the event.
1. Choosing red
2. Choosing green
3. Choosing yellow
4. Choosing not blue
Step-by-step explanation:
1) 4/12= answer --->1/3
2)2/12= -----> 1/6
3)3/12------>1/4
4) 1/9
its been so long since I did this so number 4 might be wrong
Which of the following is an equation of the line that has a slope of - 3 and passes through the point (-6, 2)?
Answer:
y = -3x - 16
Step-by-step explanation:
m = -3 ; (-6 , 2)
Slope point form : y - y1 = m(x -x1)
y - 2 = -3(x - [-6])
y - 2 = -3(x + 6)
y -2 = -3x + 6*(-3)
y - 2 = -3x - 18
y = -3x - 18 + 2
y = -3x - 16
3 over x minus 2 equals 1 over x
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
As written, we must interpret your equation as ...
[tex]\dfrac{3}{x}-2=\dfrac{1}{x}\\\\\dfrac{2}{x}=2\qquad\text{add $2-\dfrac{1}{x}$}\\\\x=\dfrac{2}{2}=1\qquad\text{multiply by $\dfrac{x}{2}$}[/tex]
The value of x is 1.
The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?
Answer:
94.2 ft of fencing
Step-by-step explanation:
To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.
Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.
Coach Nichols asked the track team to run a lap around the track. Determine the distance the team ran. Use 3 for pi.
Answer:
375
Step-by-step explanation: