Answer:
1. B) Age and type of movie preferred are independent
2.A). Age and type of movie preferred are dependent.
Step-by-step explanation:
1. State the Null Hypothesis
B) Age and type of movie preferred are independent
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
This is chi square independence test therefore we will test the independence of the two factors age and the type of movie preferred.
The null hypothesis is formulated as
Age and type of movie preferred are independent
against the claim
Age and type of movie preferred are dependent.
Explain what the vertical line test is and how it is used.
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
{x | x = –5, –4, –2, 0, 2}
{y | y = –9, –3, 0, 5, 7}
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
✧ [tex] \underline{ \underline{ \pink{\large{ \tt{E \: X \: P \: L\: A \: N \: A \: T \: I \: O \: N}}}}}: [/tex]
Part 1 :
☃ [tex] \underline{ \large{ \sf{Vertical \: Line \: Test}}} : [/tex] ⇾ All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called the vertical line test.
If the vertical line intersects the graph of a relation at one point , the relation is a function.If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.( See the attached picture )
In the picture ' 1 ' , The vertical line ( dotted line ) cuts the graph at one point ( P ). Thus the graph represents a function.In the picture ' 2 ' , The vertical line ( dotted line ) cuts the graph at two points P & Q. So, the graph does not represent a function.Part 2 :
☂ The set of all the images of the elements of domain under the function ' f ' is called the range of a function. In other words , the set of second components of a function is called range. We are given the function :
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}The above numbers [ in bold ] are the range of given function. Now, If we arrange these numbers in ascending order, we get ( -9 , -3 , 0 , 5 , 7 ).
Hence , Choice B [ {y | y = –9, –3, 0, 5, 7} ] is correct.
♕ Hope I helped! ♡
☄ Have a wonderful day / night ! ☼
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ☥
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Sample Response:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
If l || m, determine what type of angles they are and find the value of x.
Historically, about 53% of the population of a certain country believed that the planet's temperature was rising ("global warming"). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed adults in the population, and said they believed that global warming was real. (Assume these adults represented a simple random sample.)
Required:
a. What percentage in the sample believed global warming was real in 2010?
b. Is this more or less than the historical 57%?
Answer:
(a) The proportion is 61.23%
(b) It is more than the historical 57%
Step-by-step explanation:
This question has missing details, and they are:
[tex]n = 926[/tex] ---- The Sample Adults
[tex]x = 567[/tex] -- Those that believe global warming was real
Solving (a): The proportion of those that believe.
This is calculated as:
[tex]p = \frac{x}{n}[/tex]
Substitute values for x and n
[tex]p = \frac{567}{926}[/tex]
[tex]p = 0.6123[/tex]
Express as percentage
[tex]p = 0.6123 * 100\%[/tex]
[tex]p = 61.23\%[/tex]
Solving (b) More or less than 57%
By comparison:
[tex]61.2\% > 57\%[/tex]
Hence, it is more than the historical 57%
True or False? Please help!!
At 3:30 p.m., you have 15 megabytes of a movie. At 3:45 p.m., you have 75 megabytes. What is the download rate in megabytes per minute?
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
please help (no links) or i will report you i just need answers
Answer:
15.) 104 ... I hope angles are not drawn to scale
16.) 144
17.) 37
Step-by-step explanation:
15.)
3x + 10 = 4x -12
22 = x
so 3x +10 = 76
180 - 76 = t = 104
16.)
2(21) + 36 + 90 + bcd + a = 360
a = 90 - 21 = 69
360 - (2(21) + 36 + 90 + 69) = bcd
bcd = 360 - 237 = 123
angle acd = 21 + bcd = 21 + 123 = 144
17.)
(5x - 7) + 90 + (3x + 1) = 180
8x -6 = 90
8x = 96
x = 12
so 5x - 7 = 53
90 - 53 = angle lmn = 37
Find the 8th term of the geometric sequence show below
Answer:
Alli khanaw .................
Answer:
8x^36
Step-by-step explanation:
first term (a) = [tex]8x^{8}[/tex]
Second term (t2)= [tex]8x^{12}[/tex]
common ratio (r)
= [tex]\frac{8x^{12} }{8x^{8} }[/tex]
= [tex]x^{4}[/tex]
now the 8th term of the G.S is
t8 = [tex]ar^{n-1}[/tex]
= [tex]8x^8 * (x^4)^8^-^1[/tex]
= [tex]8x^8 * (x^4)^7\\[/tex]
= [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]
hope it will help
Help. What’s the answer to this problem?
Answer:
C) Yes, it’s a reflection over line f.
Step-by-step explanation:
It’s a reflection over line f.
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
PLEASE HELP ME!!!!!!!!!ASAP!!!!!
Write down three integers, all less than 25, whose range is 8 and mean is 11.
Answer:
11,15,7
Step-by-step explanation:
11+15+7=33 33/3=11 the mean
then 15-7=8 the range
Which one is correct?
what is the following product?
square root of 30 times the square root of 10
Step-by-step explanation:
That 'd be the square root of 300, which is equivalent to 10sqrt(3).
the sum of 4 and 6 times a number z
Answer:
(4 + 6) × Z = 10 × Z
Step-by-step explanation:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
For a test in a math class, 60 students arrive and take out their supplies. Of those students, 22 bring pens, and 48 bring pencils. Only one student arrives without a pen or pencil.
How many students brought both a pen and a pencil?
Answer:
11 students brought both a pen and a pencil
Step-by-step explanation:
59 students brought a pen or pencil or both
48 + 22 = 70
70-59 = 11
11 students brought both a pen and a pencil
which is the smallest integers, please answer, -9, 0, -2, -4, -11
Answer:
-11 :)
Step-by-step explanation:
Answer: 0
Step-by-step explanation:
Find the erea of the trapezoid.
9514 1404 393
Answer:
32 yd²
Step-by-step explanation:
Use the area formula with the given dimensions.
A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h
A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards
The area of the trapezoid is 32 square yards.
Access the hourly wage data on the below Excel Data File (Hourly Wage). An economist wants to test if the average hourly wage is less than $29.
Hourly EDUC EXPER AGE Gender
Wage
37.85 11 2 40 1
21.72 4 1 39 0
34.34 4 2 38 0
21.26 5 9 53 1
24.65 6 15 59 1
25.65 6 12 36 1
25.45 9 5 45 0
20.39 4 12 37 0
29.13 5 14 37 1
27.33 11 3 43 1
28.02 8 5 32 0
20.39 9 18 40 1
24.18 7 1 49 1
17.29 4 10 43 0
15.61 1 9 31 0
35.07 9 22 45 0
40.33 11 3 31 1
20.39 4 14 55 0
16.61 6 5 30 1
16.33 9 3 28 0
23.15 6 15 60 1
20.39 4 13 32 0
24.88 4 9 58 1
23.88 5 4 28 0
37.65 6 5 40 1
15.45 6 2 37 0
26.35 4 18 52 1
19.15 6 4 44 0
16.61 6 4 57 0
18.39 9 3 30 1
25.45 5 8 43 0
28.02 7 6 31 1
23.44 4 3 33 0
17.66 6 23 51 1
26.33 4 15 37 0
34.34 4 9 45 0
35.45 6 3 55 0
37.43 5 14 57 0
35.89 9 16 36 1
20.39 4 20 60 1
31.81 4 5 35 0
35.45 9 10 34 0
37.66 5 4 28 1
23.87 6 1 25 0
36.35 7 10 43 1
25.45 9 2 42 1
23.67 4 17 47 0
26.02 11 2 46 1
23.15 4 15 52 0
24.18 8 11 64 0
a) Choose the null and the alternative hypotheses for the test.
A. H0:μ≥29;HA:μ<29
B. H0:μ=29;HA:μ≠29
C. H0:μ≤29;HA:μ>29
b) Use the Excel function Z. TEST to calculate the p-value. Assume that the population standard deviation is $6.
c) At α = 0.01 what is the conclusion?
A. Do not reject H0; the hourly wage is not less than $29.
B. Do not reject H0; the hourly wage is less than $29.
C. Reject H0; the hourly wage is not less than $29.
D. Reject H0; the hourly wage is less than $29.
Answer:
A. H0:μ≥29;HA:μ<29
Pvalue < 0.01
D. Reject H0; the hourly wage is less than $29
Step-by-step explanation:
The null hypothesis will negate the claim which will be the hypothesis to be tested. Therefore, since the claim is to test if hourly wage is less Than 29 ; then the null will be that hourly wage is equal to or greater than 29
H0:μ≥29;HA:μ<29
The Pvalue measure the probability that the extremity of our finding against a certain α level. The Pvalue obtained using the Excel function should be 0.00058
When Pvalue is < α ; We reject the null hypothesis
Hence, Reject H0; the hourly wage is less than $29 and conclude that hourly wage is less Than $29
Which expression is equivalent to the following complex fraction?
CO (
이고
X X
2
X-
2x
글
2x-2
X
12x
x-1
44 minutes left please help !!!!!!
Answer:
[tex] \frac{x - 1}{2x} [/tex]
Step-by-step explanation:
This is a correct answer.
5(2 + 2m). Simplify the expression
Answer:
10m+10
Step-by-step explanation:
5x2=10
5x2m=10m
10m+10
I need help please. I need the the discount and selling price. Thank you
Answer:
15.12 is the discount68.88 is the sell priceStep-by-step explanation:
When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100
This gets you 0.18
Now multiply
84 * 0.18 = 15.12
So 15.12 is the discount
Then take 84 and subtract 15.12
84 - 15.12 = 68.88
So 68.88 is the sell price
pls help asap, ill give brainiest
The answer is D
If this helped a brainliest would be appreciated!
plssssss helppp last diagnostic
Answer:
9/20 square miles
Step-by-step explanation:
9/10× 1/2= 9/20 square miles
A pet store has
10 hamsters for every 8 cats.
What is the ratio of hamsters to cats?
8:18
8:10
10:8
Answer: 10:8
Step-by-step explanation:
There are 10 hamsters and 8 cats
Since hamsters is first in the ratio, you put the 10 and then the 8
10:8
Hope this helps!
Answer:
the last option 10:8....
12. Find the highest common factor that divides 24,36, and 72
without learning a remainder.
Answer:
Your answer is 12
Because the three numbers 24,36,72 are the factors of 12
If you are helped with my answer pls tag me brianliest
THANK YOU....
Chris has 150 Pokemon cards. Each week,
Chris purchases 15 Pokemon cards to add
to his collection. Which inequality can be
used to find w, the number of weeks after
starting his collection when Chris will have
more than 500 Pokemon cards in his
collection?
A.
150w + 15 < 500
B.
15W + 150 < 500
C.
150w + 15 > 500
Need He
D.
15W + 150 > 500
Answer:
D
Step-by-step explanation:
He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)
Find the point on a circle that has a radius of 8 with an angle of rotation of 130 degrees centered at (-3,5)?
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
Find the area of this trapezoid:
Answer:
Pls add the image
Step-by-step explanation:
Help thanks in advance
Answer:
C) 2/7, 1/2, 5/6, 4/2
Step-by-step explanation:
