Answer:
The union of these sets is:
A U B = {2, 3, 5, 7, 8}Step-by-step explanation:
Given the sets
K = {2, 3, 5, 8}L = {3, 5, 7}The union of two sets K and L is the collection of elements that are in K or in L or in both K and L
The 'union' of two sets is denoted by the symbol 'U'.
Therefore, the union of these sets is:
A U B = {2, 3, 5, 7, 8}Important Note: The duplicate or repeated elements of the sets are written only once.
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
p = x / n
p = 91/110
p = 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= p - Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
What is the first step in solving the equation 1 + 3/5x = 3?
What is the second step in solving the equation?
Answer:
subtract 1 from both sides
cube both sides
Step-by-step explanation:
nhfbgdvzfsdfexgrdtbfvdcfewzsxrdfcgvhjyvtfhcdgrxesrgdfcgvh
What is the value of x?
Answer:
5
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c² plug in the info you have
a²+12²=13² (c is always the side opposite from the right angle)
Solve for a
a²+144=169
-144 -144
a²=25 take the square root of both sides
√a²=√25
a=5
What is the volurne of the figure? Enter the answer in the box.
Cubic feet
Answer:
2700ft cubed
Step-by-step explanation:
5 x 10^8 - 3.4 x 10^8 =
In Scientific notation PLS HELP
Answer:
[tex] 1.6 \times 10^8[/tex]
Step-by-step explanation:
[tex]5 \times 10^8 - 3.4 \times 10^8 \\ \\ =(5 - 3.4 ) \times 10^8 \\ \\ =1.6 \times 10^8[/tex]
What does the value of the mean absolute deviation tell you about the spread of the data?
Answer:
The Mean absolute deviation of any data set is best for explain how spread out the data values are compared to each other and the mean. This value is found be finding the difference of all data points to the mean of the data set, and then finding the average of those, by adding them all up and dividing by the total number of data points there are. If the mean absolute deviation is larger, then this means that there is more variability in the data set, and it is in fact very spread out. Finding the average of the distances of data points from the mean can be very helpful in determining conclusions about data sets.
Step-by-step explanation:
Change wording
The Mean absolute deviation of any data set gives us an idea about the variability in a dataset.
What is mean absolute deviation?The mean absolute deviation of a dataset is the average distance between each data point and the mean.
The Mean absolute deviation of any data set is best to explain how spread out the data values are compared to each other and the mean.
This value is found to be finding the difference of all data points to the mean of the data set, and then finding the average of those, by adding them all up and dividing by the total number of data points there are.
If the mean absolute deviation is larger, then this means that there is more variability in the data set, and it is in fact very spread out.
Finding the average of the distances of data points from the mean can be very helpful in determining conclusions about data sets.
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in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e. which of the following must be true?
A. e ll g B. h ll g C.g ll h D. e ll h
Answer:
It's A
Step-by-step explanation:
Line e parallel to line g. Therefore, option A is the correct answer.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that, in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e.
Since, e║f, f║g
So, e║g
Therefore, option A is the correct answer.
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PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME
Answer:
A.) 40.506 cm is the answer
Answer:
A. 40.506
Step-by-step explanation:
r=6.45
c= 2*3.14*6.45
c=40.506
PLEASE HELP!!! Complete the equation of the line through (4, - 8) and (8, 5) Use exact numbers. y =
Slope=(5--8)\(8-4)= 13\4
13\4(x-4)=y+8
13\4x-13-8 =y
13\4x-21=y
In 2010, there were approximately 6 million girls living in Orange City. In 2011, the population was down to 4 million girls. How many girls lived in Orange City in 2011 in comparison to 2010? Write your answer in scientific notation.
Answer:2010 +2011+2010=6021
6+4 =11
Step-by-step explanation:add then you divide
Garrett read 100 pages in his new mystery novel. The book has a total of 250 pages.
What percent of the book has Garrett read?
Answer:
40% I believe
Step-by-step explanation:
I searched it up
Michelle bought 2 teddy bears and 3 flower vases for $27 in a shopping mall. Shannon bought 3 teddy bears and 2 flower vases for $30.5 from the same mall. what is the cost of the flower vase?
Answer:
$4
Step-by-step explanation:
let t represent teddy bear and v represent vase, then
2t + 3v = 27 → (1)
3t + 2v = 30.5 → (2)
Multiplying (1) by 3 and (2) by - 2 , then adding will eliminate t, that is
6t + 9v = 81 → (3)
- 6t - 4v = - 61 → (4)
Add (3) and (4) term by term to eliminate t, that is
5v = 20 ( divide both sides by 5 )
v = 4
The cost of the flower vase is $4
Answer:
It is going to be $4.00
Step-by-step explanation:
Hope this helped have an amazing day!
Please help ASAP thank you
Answer:
Scalene, Acute
Step-by-step explanation:
scalene because the sides are of different length, and acute because it's less than 90°
Jeff is standing on top of a tree next to a mysterious monolith (a big rectangular box). At time t = 0, Jeff threw a coconut vertically upwards. It landed on the top of the monolith 3 seconds later. The height of the coconut above the ground after t seconds is
Answer:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
(if the heights are measured in meters)
Step-by-step explanation:
In order to solve this problem we will need to first draw a diagram of the situation (see attached picture) and then, make use of the following physics equation:
[tex]y_{f}=\frac{1}{2}at^{2}+v_{0}t+y_{0}[/tex]
where:
[tex]y_{f}[/tex]=height of the object at a given time t
a=acceleration due to gravity
t=time
[tex]v_{0}[/tex]=initial velocity of the object
[tex]y_{0}[/tex]=initial height of the object.
we know most of this data, except for the height of theh object at the given time t and the initial velocity of theh object. We can make use of the given time to write the velocity in terms of the height of thte tree and the height of the monolith.
So let's substitute the values we know so far:
[tex]h=\frac{1}{2}(-9.81)t^{2}+v_{0}t+h_{tree}[/tex]
the problem tells us that after 3 seconds, the object reaches the height of the monolith, so let's do the substitution:
[tex]h_{monolith}=\frac{1}{2}(-9.81)(3)^{2}+v_{0}(3)+h_{tree}[/tex]
we can now solve this equation for the initial velocity, so we get:
[tex]h_{monolith}-h_{tree}=-44.145+3v_{0}[/tex]
[tex]h_{monolith}-h_{tree}+44.145=3v_{0}[/tex]
so:
[tex]v_{0}=\frac{h_{monolith}-h_{tree}+44.145}{3}[/tex]
and now we can substitute this back into the original formula to get the equation that represents the height of the coconut above the ground after t seconds:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
Luis distributes 49 roses equally among seven friends then three of his friends combined the roses they received to make a bouquet how many roses are in this bouquet there are blank roses in this bouquet
Answer:
The are 21 roses in the bouquet
Step-by-step explanation:
Since the 49 roses are distributed evenly amongst the 7, then what each of the seven will get would be 49/7 = 7 roses
So 3 of the friends combine every of theirs to make a bouquet
The number of roses in the bouquet will be 7 + 7 + 7 = 21 roses
what is the equation for the line that passes through the point (3,7) and has a slope of 2?
Answer:
y=3/7x+2
Step-by-step explanation:
can i have brainliest?
4. -64
Multiplicative inverse
Answer:
the answer I got is -23, please let me know if I am wrong.
The table and graph both represent the same relationship. Which
equation also represents that relationship?
PLEASE someone HELP
Answer:
y=x^2
Step-by-step explanation:
The sum of two numbers is 240. If one of them
is y find the other number.
Answer:
120?
Step-by-step explanation:
Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: [tex]x + y = 240[/tex]
To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. [tex]x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y[/tex] Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.
Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.
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for an arithmetic sequence, given Sn=690,a1=19, an=96 find the value of n help pleaseeeee
Answer:
will u b my frend
Step-by-step explanation:
HELP MEH PLEASE TwT I WILL GIVE BRAINLIEST TO FIRST PERSON WITH
RIGHT ANSWER
Answer:
a
Step-by-step explanation:
because its parallel while d is perpendicular and b and c are diagonal
Joshua was offered a job that paid a salary of $77500 in its first year . The salary was set to increase by 2% per year every year. If Joshua worked at the job for 5 years what was the total amount of money earned over the five years . to the nearest whole number
i think you have to use the sum of finite geometric series
a1=77,500
n=5
idk what im doing plz help
Answer:
I didnt get what you mean maybe try to explian it another way
Step-by-step explanation:
2c = 14 equals what?
Answer:
7
Step-by-step explanation:
2c/2 = 14/2
c = 7
|×|=×
is the absolute value of x always, sometimes, or never x
Answer:
Sometimes
Step-by-step explanation:
I’ll give you an example so you can understand:
Let’s say x is 4. So plug 4 into the problem:
|4|=4 → This is a very true statement, where the absolute value of 4 is equal to 4.
Now, let’s say x is -7. So plug -7 into the problem:
|-7|=-7 → This is a false statement because it’s saying that the absolute value of -7 is -7 which is very untrue.
So |x|=x only works for positive numbers, but not negative numbers. Therefore, |x|=x is the absolute value of x sometimes.
Hope this helps and answers your question! :)
What is the measure of the angle?
The angle is a 90 degree angle.
Answer:
80degrees
Step-by-step explanation:
Cody's school is selling tickets to a play. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $38. The school took in $34 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?
Answer:
do you still need the answer or no?
Duueee Tommorow Hellppp plzzz
Answer:
18
Step-by-step explanation:
3 *6= 18
or 18/100
or 9/50
Can someone help me out on this?
Answer:
19/20
Step-by-step explanation:
1/5=0.20
hope that makes sense
what is 149866.37636 rounded to the nearest whole number
Answer:
149866 is the nearest whole number.
Step-by-step explanation:
A package of 12
pens costs $3.84.
What is the cost
per pen?
An
IT WOULD BE 50 CENTS PER PEN
Step-by-step explanation: