Use the information and table to answer the following questions.
A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance.
18-23 years old 24-29 years old 30-35 years old Totals
Drama 8 15 11 34
Science Fiction 12 10 8 30
Comedy 9 8 12 29
Totals 29 33 31 93
1. State the Null Hypothesis
A) Age and type of movie preferred are not independent.
B) Age and type of movie preferred are independent
C) Age and type of movie preferred are not the same
D) Age and type of movie preferred are related.
E) Cannot be determined.
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
B) Age and type of movie preferred are independent.
C) Age and type of movie preferred are not related
D) Age and type of movie preferred are superior.
E) Cannot be determined.
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.
A recipe for lemonade requires 10 parts of water to
every 6 parts of lemon juice. How many cups of
water should be added to 30 cups of lemon juice
to make the lemonade?
Does anyone know this ??
Answer:
50 cups water
Step-by-step explanation:
10 cups water = 6 cups lemon juice
x cups water = 30 cups lemon juice
To get from 6 to 30, we needed to do x5, so lets do that for 10 as well.
10x5 cups water = 30 cups lemon juice
50 cups water = 30 cups lemon juice
Helpppppp pleaseeeeeeee
Answer:
16 2/3
Step-by-step explanation:
what is equivalent to
(3x+1)(4x-1)
juan utiliza su bicicleta para hacer deporte cada dia recorre 10 kilometros a la mañana y 5 kilometros a la tarde ¿cuantos kilometros recorre e total al cabo de 5dias?
Answer:
75 kilómetros.
Step-by-step explanation:
Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días se debe realizar el siguiente cálculo:
(10 + 5) x 5 = X
15 x 5 = X
75 = X
Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.
Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answer:
x = 2
y = 1
Step-by-step explanation:
Answer:
x= 2
y= -1
Step-by-step explanation:
A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly selected dives by 7 different otters, recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met.
Predictor Coef SE coef T P
Constant 52.789 5.257 10.04 0.000
Water temp 3.3684 0.4216 7.990 0.002
S= 5.557 R- Sq= 92.7% R-Sq(adj)= 91.3%
Required:
What is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?
Answer:
0.4216
Step-by-step explanation:
from the data given The estimate of the standard deviation of the sampling distribution of b,
( The slope of the sample regression line for the relationship )
= 0.4216 ( i.e. intersection of SE coef and water temperature )
Testing the effect of water temperature on the length of time sea otters can remain
ABCD is a square and it's side is 16 cm long. What is the area of the shaded part?
Answer:
I'm sorry I can't help because I don't know what part is shaded. Note: Since a square has the same length for each side all the sides are 16 cm.
Area and Perimeter for WHOLE square:
A: 256 sq cm
P: 64 cm
Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?
Ralphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?
Answer:
Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.
If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.
Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Will give brainliest
Answer:
13.5
Step-by-step explanation:
your teacher wrote all the tools you need down already.
we only need to apply them.
is that really so difficult ?
because of the law of sines we have
sin(27)/11 = sin(34)/x
we can also turn this upside down to simplify the calculation.
11/sin(27) = x/sin(34)
x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5
there, that was all there was to it ...
PLEASE HURRY WILL MARK BRAINLEST
If the odds of being born on each day of
the week is equal, what is the probability
of two separate babies both being born
on a school day? (Monday through
Friday)
Answer:
1/25
Step-by-step explanation:
days in a week is 7
odds of being born on each 7 days is equal
x born = 7 days
pr(one separate baby) = 1 ÷ 5
pr(second separate baby) = 1 ÷ 5
pr(both being born on a school day) = 1/5 × 1/5
= 1/25
find the arthmetic and the geometric means of 4 and 9
Answer:
Step-by-step explanation:
first term (a) = 4
last term (b) = 9
Arithmetic mean (AM)
= ( a + b) / 2
= ( 4 + 9 ) / 2
= 13/2
= 6.5
Geometric mean (GM)
= √a *b
=√4 * 9
=√36
= 6
hope it helps :)
Determine the amplitude or period as requested. Amplitude of y = cos 5x a (2pi)/5 b 1 d 5
Answer:
The amplitude is 1
Step-by-step explanation:
Given
The right function is:
[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
Required
Determine the amplitude
The general cosine function is:
[tex]y = A\cos(k(x + c)) +d[/tex]
Where
[tex]Amplitude = |A|[/tex]
Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
[tex]A = 1[/tex]
So:
[tex]Amplitude = |1|[/tex]
So, we have:
[tex]Amplitude = 1[/tex]
An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14
B) $5,200.36
C) $6,010.32
D) $7,340.18
PLS ANSWER ASSP WILL GIVE BRAINLIEST ANSWER
C. $6010, I plugged the information into a simple compound interest calculator.
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier study, the population proportion was estimated to be 0.3 . How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03
Answer:
A sample of 383 would be required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.3.
This means that [tex]\pi = 0.3[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03?
A sample of n is needed.
n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.28\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.28\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.28\sqrt{0.3*0.7}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.28\sqrt{0.3*0.7}}{0.03})^2[/tex]
[tex]n = 382.3[/tex]
Rounding up:
A sample of 383 would be required.
What is x plsssss help
Answer:
x = 6 (brainliest..?)
Step-by-step explanation:
x² = 4(4 + 5)
x² = 36
x = 6
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?
A) 0.1135
B) 0.2450
C) 0.9423
D) 0.9932
Answer:
this is the answer!!
Step-by-step explanation:
Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?
Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,
[tex]m\angle B=28^\circ[/tex]
[tex]m\angle C=102^\circ[/tex]
[tex]b=27\ cm[/tex]
Using angle sum property of triangles, we get
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]
[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]
[tex]m\angle A=50^\circ[/tex]
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]a\approx 44.06[/tex]
Therefore, the value of a is about 44.06 cm.
Which condition would prove △JKL ~ △XYZ
The Answer Is KL/YZ=8
have an amazing day <3
Answer:
D
Step-by-step explanation:
JL/XZ = 8
For what value of z would the following system of
equations be true for all real integers?
3x-2y = 14
-12x+8y = 8z
9514 1404 393
Answer:
z = -7
Step-by-step explanation:
The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.
Already, we observe that the ratios of x- and y-coefficients are -4:
-12/3 = -4
8/-2 = -4
The equations will be dependent when the constants have that same ratio:
8z/14 = -4 . . . . desired ratio
8z = -56 . . . . . multiply by 14
z = -7 . . . . makes the equations true for all real numbers
_____
Comment on the question
The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.
However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".
Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.
Answer:
z = -7 is the answer.Step-by-step explanation:
#CarryOnLearningWILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Answer:
916.1 cm^3
Step-by-step explanation:
1) find the radius of the cylinder:
radius = dimater / 2 = 7,3 / 2 = 3.65 cm
2) find the base area of the cylinder:
base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2
3) find the height of the cylinder:
height = 7.3 x 3 = 21.9 cm
4) find the volume
V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3
5) round to nearest tenth:
916. 1 cm^3
Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The discount on new camera bought by Amelia = 30%.
To find the number that Amelia should multiply to pay,
Let The required number be x,
and total price of the camera is 100%
So after discount the price of camera = 100 - 30 = 70%
Implies that,
100 × x = 70
x = 70 / 100
x = 7 / 10
So the required number is 7/10 that Amelia should multiply the price she would have to pay.
To know more about Percentage on:
https://brainly.com/question/24120406
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Review graph I and graph II.
On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).
On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).
Which statement compares the limit as x approaches –4 for the two graphs?
In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
:)
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
the guy above me lol
Help sue at 12am and it’s 10 pm
..........plsssssssssssssssss
Answer:
a = 4
b = 5
c =6
Step-by-step explanation:
i hope it helps
the answers are absolutely correct
Suppose a student typically spends 5/2 hours each week doing research on the Internet. How much research time does a student spend each device in 1 week?
Answer:
Step-by-step explanation:
5/2 hours = 2 1/2 hours
2 1/2 hours = 120 minutes + 30 minutes = 150 minutes.
I don't know if he has more than 1 device or not. But if he does, then this time is the base and you just multiply by 2 1/2 for each device.
Answer:
Solution given:
a student typically spends 5/2 hours each week
research time does a student spend each device in 1 week=5/2=2hours and 30min=150minutes
What is the probability of choosing a red card from a deck of cards? Type your answer as a fraction.
Answer:
26/52 or 1/2
Step-by-step explanation:
There are 1-9, King, Queen, Jack, for both Diamonds and Hearts
Please help: What is the area of this shape?
which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1
Answer:
y=x-3
-1＝2-3＝-1
............
