Complete the table and estimate the limit
Answer:
[tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]
Step-by-step explanation:
If x=-0.1, then f(x)=0.2247361538
If x=-0.01, then f(x)=0.2237187131
If x=-0.001, then f(x)=0.2236179792
If x=0.001, then f(x)=0.2235956185
If x=0.01, then f(x)=0.223495106
If x=0.1, then f(x)=0.2224998063
We can see that as x approaches 0, we see that f(x) gets closer to √5/10
Therefore, [tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]
Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolled a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.
Is the probability of Janessa winning an independent event or dependent event? Why?
O) Her probability of winning is an independent event because it depends on the results of her friends’ rolls.
O) Her probability of winning a dependent event because it does not depend on the results of her friends’ rolls.
O) Her probability of winning is an independent event because it does not depend on the results of her friends’ rolls.
O) Her probability of winning is a dependent event because it depends on the results of her friends’ rolls.
Two sets of data are shown.
Data Set A: 24, 11, 26, 14, 24, 14, 24, 11, 23
Data Sot B. 24, 19, 18, 16, 30, 27, 30, 12, 22
8
Choose the phrase that would make the statement true.
The mean of Data Set A is
the mean of Data Set B.
equal to
2 less than
4 less than
1 more than
3 more than
5 more than
1 less than
3 less than
5 less than
2 more than
4 more than
Answer:less than.
Step-by-step explanation: it less than something.
Does anyone else dislike teacher appreciation week?
yeeaaaaaa... ;3;
simple equation; go! 2 + 2 = ?????
Answer:
I don’t know, it depends because in my opinion some teachers deserve it by their actions how they teach etc. but some not really so it depends I guess.
Step-by-step explanation:
A bird ies from the top of a 40-ft. Utility pole on a straight course to the top of a post eight feet above the ground. If the angle of depression is 50 , how far did the bird y to reach the post? Round your answer to the nearest tenth.
Answer:
41.8 feets
Step-by-step explanation:
The diagram artic representation of the problem is attached below :
Using trigonometry :
Sin θ = opposite / hypotenus
Sin 50 = 32 / l
0.7660444 * l = 32
l = 32 / 0.7660444
l = 41.77 feets
l = 41.8 feets
Find the mean, median, and mode(s) of the data with and without the outlier.
45, 52, 17, 63, 57, 42, 54, 58
Answer:
Mean = 48.5, Median = 53, Mode = nothing, Outlier = 17
Step-by-step explanation:
Mean: Add all the numbers (388) then divide by how many numbers (8) are there. (= 48.5)
Median: Is the middle number () so you have to order them from least to greatest (17, 42, 45, 52, 54, 57, 58, 63) and then just keep marking them off left, right, left, right... until you get to the middle. But since there are two numbers (52, 54) you have to add them (106) then you divide by 2 (53).
Mode: Is the number that shows up the most. In this case none of them do.
Outlier: The number that is farthest from the other numbers (17).
The mean, median, and mode(s) of the data Without outlier Mean is 51
Median is 53 and Mode is None
To find the mean, median, and mode(s) of the data, we can start by arranging the numbers in order from smallest to largest:
17, 42, 45, 52, 54, 57, 58, 63
The mean is the sum of all the numbers divided by the total number of numbers.
If we remove the outlier (17), the data set becomes:
42, 45, 52, 54, 57, 58, 63
Mean:
Mean = (42 + 45 + 52 + 54 + 57 + 58 + 63) / 7 = 51
Median:
Median = (52 + 54) / 2 = 53
There is no mode in this set since no number appears more than once.
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Joe solved this problem on a math test. 5/6 - 1/4 = 7/8
Answer:
This is incorrect, the correct answer is 7/12
Step-by-step explanation:
Please help like now!!! asap
Answer:
4/8 is left in the glass ;)
Answer:
1/2
Step-by-step explanation
???
Mind helping a friend
will mark brianlist
Answer:
b, d, f
Step-by-step explanation:
Solve for x for the linear pairs.
Answer:
X = 13
Step-by-step explanation:
Since this is a linear pair, it equals to 180 degrees.
7x + 37 + 4x = 180
11x + 37 = 180
-37 -37
11x = 143
11x/11 = 143/11
x = 13
Good luck on your form!
Jadan has a drawer of different colored t-shirts. He has 4 white t-shirts, 5 black t-shirts, 3 red t-shirts and 2 blue t-shirts. He is going out of town and is in need of 2 t-shirts. What is the probability that he will randomly choose a white t-shirt without replacement and then choose a blue t-shirt?
Answer:
It's a lower probability
Because he needs to take from white and black
Answer:
it would be a lower probibitity
Step-by-step explanation:
All i need to know is if its a function or not (I will give branliest for a good explanation)
Answer:
It's fine. It is a function. The language can be very convoluted. Put simply a domain value cannot have 2 different range values.
Step-by-step explanation:
The confusing part I think, is probably the fact that -1 and 1 both have an answer of 5.
That's fine. Parabolas do that and they are functions. Two different xs can have the same value. The thing that eliminates functions is when the x value (the domain) has two different y values (the range values). Then you don't have a function.
To try and make it clearer if 1 pointed at both 3 and 5 you would not have a function.
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
En una fábrica automovilística una máquina pone en total 15,000 tornillos en las 8 horas de jornada laboral funcionando de forma ininterrumpida. ¿Cuántos tornillos pondrá en 3 horas?
Answer:
120
Step-by-step explanation:
Find the area of the shaded part of the rectangle
The circle is 3 units
Use 3.14 for pie
Round the answer tor he nearest hundredth
Please help me with this homework
A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of P(x)= 0, 7- 5 squared and -2i
Answer:
2 & +2i
Step-by-step explanation:
The two additional roots of the polynomial functions are:
1. 7-5 = 2
2. Irrational root of a polynomial functions are always in pairs, hence
- 2i will have +2i as its pair
Does anybody know what 2/6 + 3/12 is? (Fraction adding) And the mixed number!
Answer:
7/12
Step-by-step explanation:
convert 2/6 to 4/12 and then add them together and get 7/12
A migrating bird flies 539 miles in 11 hours. How many miles does it fly in 3 hours?
i need help on this lol
Answer:
D
Step-by-step explanation:
Its the lowest number so it's that one
(brainliest pls?)
I don’t know how to do this problem if someone could help it would be much appreciated!
9 + 2 − 10 = 1 − 10
Step-by-step explanation:
9 + 2 − 10 = 1 − 10
11 - 10 = -9
1 = -9
Answer:
1 = -9
Step-by-step explanation:
First part: 9+2 = 11 - 10 =1
Second Part: 1 - 10 = -9
So basically you just get 1 = -9
Answer:
1 = -9
4.
You randomly select three marbles from jar that contains 23 black
marbles, 32 blue marbles and 8 white marbles.
What is the probability that the first marble is blue, the second marble
is black and the last marble is not blue if you do not replace the first
and second marbles? Enter your answer as a decimal rounded to the
nearest thousandth.
Marble, blue marble first time, red marbles second time, white marble
Answer: 0.093 chance
Step-by-step explanation:
23 black + 32 blue + 8 white = 63 total
FIRST MARBLE IS BLUE:
32/63
SECOND MARBLE IS BLACK:
23/62
LAST MARBLE IS NOT BLUE:
30/61
MATH:
32/63*23/62*31/61 = 0.093
sorry if it’s wrong but I think it’s right
Answer:
.093
Step-by-step explanation:
There are 63 marbles in the jar
P(pick a blue) = 32/63
Since you are not replacing that marble, so there are 62 marbles in the jar, 31 blue, 23 black, 8 white
P(pick a black) = 23/62
Now there are 61 marbles in the jar. 22 black, 31 blue and 8 white
P(not a blue) = 30/61
P(blue, black, not blue) = (32/63)(23/62)(30/61)
= .093
What is the probability that a point randomly chosen in the large triangle is also in Region A?
The grid ranges from 0 to 16 on the horizontal axis and from 0 to 12 on the vertical axis. A polygon with vertices at begin ordered pair 0 comma 0 end ordered pair comma begin ordered pair 0 comma 10 end ordered pair and begin ordered pair 14 comma 0 end ordered pair. The polygon is subdivided into 2 regions. Region A is a trapezoid with vertices at begin ordered pair 0 comma 0 end ordered pair comma begin ordered pair 0 comma 10 end ordered pair comma begin ordered pair 7 comma 5 end ordered pair and begin ordered pair 7 comma 0 end ordered pair. Region B is a triangle with vertices at begin ordered pair 7 comma 0 end ordered pair comma begin ordered pair 7 comma 5 end ordered pair and begin ordered pair 14 comma 0 end ordered pair.
37.5%
62.5%
70%
75%
Answer:
75
Step-by-step explanation:
The probability that a point randomly chosen in the large triangle is also in Region A will be 11/36.
What is probability?Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes.
Probability is a measure of how likely an event is going to happen.
Given is to find the probability that a point randomly chosen in the large triangle is also in Region A.
We can find the area of region A as -
Area{A} = A{Rectangle} + A{Right triangle}
Area{A} = (Length x Breadth) + (1/2 x base x height)
Area{A} = (5 x 2) + (1/2 x 1 x 2)
Area{A} = 10 + 1
Area{A} = 11 square units
Total area of the region {A + B} as -
Total Area{A + B} = 11 + (1/2 x 10 x 5)
Total Area{A + B} = 11 + 25
Total Area{A + B} = 36 square units
The probability that a point randomly chosen in the large triangle is also in Region A will be -
P{A} = (Area{A}/Total Area{A + B})
P(A) = 11/36
Therefore, the probability that a point randomly chosen in the large triangle is also in Region A will be 11/36.
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Riley is saving up to buy a new television. She needs a total of $1,239.02. Riley has saved $200.58 already and earns $79.88 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A.12
В.14
C.13
D.11
Answer:
13
Step-by-step explanation:
Please mark brainliest
Find the maximum value |r| and any zeros of r. r=20-20 sin theta
Answer: r=0
Step-by-step explanation: Hope this help :D
Calculate the surface area of a cylinder that is 12 mm tall and has a radius of 2 mm. Use 3.14 for π and just enter the number, not the unit.
Answer:
Below in bold.
Step-by-step explanation:
Surface area
= 2pi r h + 2 pi r^2
= 2 * 3.14 * 12 + 2* 3.14 * 2^2
= 100.48.
Plz plz help 10pts
what is the answer
Answer:
$8030
Step-by-step explanation:
Answer:
Step-by-step explanation:
tuition for one year = 9,890
tuition for 2 years = 9,890 x 2 = 19,780
her savings:
8,350 + 3,400 = 11,750
what she needs?:
19,780
-11,750
= 8,030
so she needs 8,030
Which equation has a solution of x = 9?
O 11 - 2x = 29
O 3x + 2 = 25
O4 + 5x = 18
O 2x - 3 = 15
HELP ME I DONT KNOW HOW TO DO IT
If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item.
Answer:
250
Step-by-step explanation:
Answer:
300 i think
Step-by-step explanation:
I WILL MARK BRAINLIEST!!
A sample of 144 was taken from a population with a standard deviation of 36
inches. What is the margin of error for a 68% confidence interval?
A. 9
B. 6
C. 3
D. 12
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches