magine that you are conducting a one-variable chi-square test to investigate the hypothesis that there are equal numbers of cat lovers and dog lovers in the office at work. Having conducted a survey, you found 150 preferred dogs and 120 preferred cats. What would the expected frequencies be in each cell? 135 150 and 120 270 More information is needed to calculate the expected frequencies.
Answer:
a. 135 is correct
Step-by-step explanation:
We have the following information:
dogs lover: 150
cats lover: 120
as the null hypothesis:
H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:
f = (150 + 120) / 2
f = 270/2 = 135
so option a. 135 is correct
Please help with number four I give brainliest thank you!
Answer:
Step-by-step explanation:
A
Answer:
D.
Step-by-step explanation:
A statistical question can answered by collecting data and having various answers. The other options refer to a specific person/thing and give only one piece of data while the last option refers to many teachers and many pieces of data.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
A Forrest has 800 pine trees but a disease is introduce that kills 1/4 of the pine trees in the forest every year.
Write a function that gives the number of pine trees remaining P(t) in the Forest t years after the disease is introduced
Answer:
If there are 800 trees and 1/4 of them die to this disease.
Step-by-step explanation:
800=400x2=800/2=400 so 100/400 die so 200/800 die so in 4 years time the whole population will die.
Answer:
P(t)=800(3/4)^t
Step-by-step explanation:
Rearrange the equation so m is the independent variable.
-2m-5n=7m-3n
n = __
Answer:n=-9/2m
Step-by-step explanation:
Step 1: Add 3n to both sides.
-2m-5n+3n=7m-3n+3n
-2m-2n=7m
Step 2: Add 2m to both sides.
-2m-2n+2m=7m+2m
-2n=9m
Step 3: Divide both sides by -2.
-2m/-2=9m/-2
n=-9/2
Hope I helped
Answer:
n= -9m/2
Step-by-step explanation:
-2m-7m-5n=7m-7m-3n
-9m-5n+5n= -3n+5n
-9m=2n
n= -9m/2
PLS HELP!! AND HURRY!! Find an expression for the nth term ( tn ) in each of the following sequences:
1, 4, 7, ...
If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule
[tex]\begin{cases}a_1=1\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}[/tex]
From this definition, we can write [tex]a_n[/tex] in terms of [tex]a_1[/tex]:
[tex]a_2=a_1+3[/tex]
[tex]a_3=a_2+3=(a_1+3)+3=a_1+2\cdot3[/tex]
[tex]a_4=a_3+3=(a_1+2\cdot3)+3=a_1+3\cdot3[/tex]
[tex]a_5=a_4+3=(a_1+3\cdot3)+3=a_1+4\cdot3[/tex]
and so on, up to
[tex]a_n=a_1+(n-1)\cdot3[/tex]
(notice how the subscript on a and coefficient on 3 add up to n)
or
[tex]a_n=1+3(n-1)=3n-2[/tex]
Answer:
n=1/2 of n x 8 divided by 4 -2
Step-by-step explanation:
om is 5 years younger than his brother. If the sum of their ages is 43 years now, find their age.
Answer:
Brother's age =24
Om's age =19
Step-by-step explanation:
Let bro's age be x
Let om's age be x-5
x+x-5=43
2 x -5=43
2 x = 43+5
2 x = 48
x = 24
Identify the opposite of -4
Answer:
It is 4
Step-by-step explanation:
I need help please and thank you
Answer:
2.2×10⁹
Step-by-step explanation:
The distributive property is useful here. Recognize that 10⁹ is a common factor:
(5.4×10⁹) - (3.2×10⁹) = (5.4 -3.2)×10⁹ = 2.2×10⁹
Answer: 2.2×10⁹
Step-by-step explanation:
What’s the correct answer for this?
Answer:
C. y=1/2 x + 5
Step-by-step explanation:
In the attached file
Mr.McNeil bought two magazines for 7.45 and one book for 14.95. If the sales tax is 6% , what is the total cost of Mr.McNeil’s purchase?
Answer:
total cost = $22.4 + $1.12 = $23.52
Step-by-step explanation:
Mr McNeil bought 2 magazines for $7.45 and 1 book for $14.95 . The sales tax is 6% . The total cost of Mr McNeil can be calculated as follows.
He bought 2 magazines for $7.45 .This means the sum of the prize of the 2 magazine he bought is $7.45 and the prize for the single book he bought is $14.95. The total cost of the items he bought excluding the sales tax is the sum of the whole items he bought.
total cost excluding sales tax = $7.45 + 14.95 = $22.4
The sales tax is 5% which can be calculated as follows
5/100 × 22.4 = 112/100 = $1.12
The total cost of Mr McNeil purchase including his sales tax is
total cost = $22.4 + $1.12 = $23.52
what symbol makes this comparison true? 200 mL O 2 L <>
Answer:
For the first case converting ml to L we got:
[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]
And we see that 0.2 L is lower than 2 L so then:
[tex] 200 mL < 2L[/tex]
And in the other way if we convert L to mL we got:
[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]
And we see that [/tex] 200mL < 2000 mL[/tex]
So then the answer would be <
Step-by-step explanation:
For this case we can solve this problem converting ml to L or converting L to ml.
For the first case converting ml to L we got:
[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]
And we see that 0.2 L is lower than 2 L so then:
[tex] 200 mL < 2L[/tex]
And in the other way if we convert L to mL we got:
[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]
And we see that [/tex] 200mL < 2000 mL[/tex]
So then the answer would be <
What is the length of line segment KJ?
2 \sqrt{3} units
3 \sqrt{2} units
3 \sqrt{3} units
3 \sqrt{5} units
Please consider the attached file.
We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.
We will use Pythagoras theorem to solve for KJ as:
[tex]KJ^2=KM^2+MJ^2[/tex]
[tex]KJ^2=6^2+3^2[/tex]
[tex]KJ^2=36+9[/tex]
[tex]KJ^2=45[/tex]
Now we will take positive square root on both sides:
[tex]\sqrt{KJ^2}=\sqrt{45}[/tex]
[tex]KJ=\sqrt{9\cdot 5}[/tex]
[tex]KJ=3\sqrt{5}[/tex]
Therefore, the length of line segment KJ is [tex]3\sqrt{5}[/tex] and option D is the correct choice.
Answer:
3√5Step-by-step explanation:
what is the length of line segment kJ
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
X is 108, infinite
Step-by-step explanation:
A car travels 10km southeast and then 15 km in a direction 60 degrees north of east. What is the magnitude of the car's resultant vector?
Answer: 15.85km
Step-by-step explanation:
The car starts at the point (0,0)
Let's define east as the positive x-axis and north as the positive y-axis.
first, the car travels 10km southeast, so the angle is -45° from the east.
Then the new position of the car is:
(10km*cos(-45°), 10km*sin(-45°)) = (7.07km, -7.07km)
Now, from this point the car travels 15km with an angle of 60° (counting from the east)
So the new position is:
(7.07km + 15km*cos(60°), -7.07km + 15km*sin(60°)) = (14.57km , 5.91km)
The magnitude of a vector (x, y) is √(x^2 + y^2)
So the magnitude of the vector (14.57km , 5.91km) is:
√((14.57km)^2 + (5.91km)^2) = 15.85km
The magnitude of the car's resultant vector is 15.72.
Given that,
A car travels 10km southeast,
And then 15 km in a direction 60 degrees north of east.
We have to find,
The magnitude of the car's resultant vector.
According to the question,
To resultant direction calculate by using the sum of vectors following all the steps given below.
A car travels 10 km southeast,
And then 15 km in a direction 60 degrees north of east.
The first vector has module is 10 and angle is 315°,
In the south direction, the angle is 270° and east is 360°,
So the angle in southeast,
[tex]\rm = \dfrac{270+360}{2}\\\\= \dfrac{630}{2}\\\\= 315 \ degree[/tex]
The second vector has module 15 and angle = 40°
Decompose both vectors in their horizontal and vertical component:
The horizontal component of the first vector is,
[tex]\rm = 10 \times cos(315) = 10 \times 0.70= 7.07[/tex]
The vertical component of the first vector is,
[tex]= \rm 10 \times sin(315) = -7.07[/tex]
The horizontal component of the second vector is,
[tex]\rm = 15 \times cos(60) = 15 \times 0.5= 7.5[/tex]
The vertical component of the second vector is,
[tex]\rm = 15 \times sin(40) = 15 \times 0.86= 12.99[/tex]
The sum of the horizontal component of the resultant vector is,
[tex]= 7.07+7.5=14.57[/tex]
And the sum of the vertical component of the resultant vector is,
[tex]= -7.07+12.99=5.91[/tex]
The magnitude of the vector (14.57km, 5.91km) is:
Therefore,
The magnitude of the car's resultant vector is,
[tex]\rm Resulatant = \sqrt{(14.57)^2+ (5.91)^2}\\\\ Resulatant = \sqrt{212.28+ 34.92} \\\ \\ Resulatant = \sqrt{247.20}\\\\ Resulatant = 15.72[/tex]
Hence, The required magnitude of the car's resultant vector is 15.72.
For more details refer to the link given below.
https://brainly.com/question/16541081
Juan selects 2 colored pencils randomly. There are 4 green, 3 yellow, 4 red, 3 blue and 2 orange. What is the probability Juan chooses a red, replaces it, and then chooses an orange?
A: 1 over 32
B: 1 over 30
C: 8 over 225
D: 3 over 8
If f(x) = 5 + 4x^2, then f(3) =
. Give only the final answer
[tex]\text{Solve by plugging in 3 to x:}\\\\f(x)=5+4(3)^2\\\\f(x)=5+4(9)\\\\f(x)=5+36\\\\f(x)=41\\\\\boxed{f(3)=41}[/tex]
Answer:
hope this helps
Step-by-step explanation:
f(x) = 5 + 4x^2, then f(3)
5 + 4(3)^2
5+4(9)
5+36
41
Fill in the boxes. 300 000 cm =____ m=____km
Answer:3000m and 3km
Step-by-step explanation:
To convert from cm to m,divide by 100 and from m to km,divide by 1000
Solve 5(x − 8) = 50.
Answer:
x = 18
Step-by-step explanation:
5(x - 8) = 50
Divide both sides by 5.
x - 8 = 10
Add 8 to both sides.
x = 18
Answer:
x=18
Step-by-step explanation:
5(x − 8) = 50.
5x-40=50
+40 +40
5x/5=90/5
x=18
if the product of 11 positive integers is odd, how many of these integers must be odd
Based on data from the 1980 Census the average age of a Na'alehu County, Hawaii resident is 39 years with a standard deviation of 22. 6. The data is normally distributed. If 100 residents are surveyed, Determine the Inter Quartile range (IQR) for the average age of the residents of this County. Please explain how you derived your answer:
Answer:
yes
Step-by-step explanation:
what is the correlation coefficient of the linear fit of the data shown below, to the nearest hundreth
Answer:
theres no picture.
Step-by-step explanation:
Answer:
C) -0.89 i think
Step-by-step explanation:
p + nx=rx-e (solve for x)
Answer:
(p+e)/(r-n) = x
Step-by-step explanation:
p + nx=rx-e
Add e to each side
p +e+ nx=rx-e+e
p +e+ nx=rx
Subtract nx from each side
p +e+ nx - nx=rx-nx
p+e = rx -nx
Factor out x
p+e = x(r-n)
Divide each side by (r-n)
(p+e)/(r-n) = x(r-n)/(r-n)
(p+e)/(r-n) = x
There are 7 x 104 snakes at the zoo but 7 x 100 are accounted for. How many snakes are missing.
Answer:
28 snakes are missing
Step-by-step explanation:
7 times 104 = 728
7 times 100 = 700
728 minus 700 = 28 snakes are missing
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Cars. The computer output from a regression analysis is provided.
Model Summary
R-sq R-sq(adj)
89.9% 87.4%
Coefficients
Term Coef SE Coef T-Value P-Value
Constant 15.29 0.58 26.18 0.000
Age -1.71 0.13 -13.55 0.000
What is the value of the intercept? Enter the value exactly how it is displayed in the output.
Answer:
vaulue is 4
Step-by-step explanation:
How do I solve the problem?
You have to determine how many weeks it takes them to make that much, then you add the total. you can determine how many weeks it takes by multiplying
Answer: So you have to first find out how many weeks Alicia needs to work and write it like this (an example)
3x?=9 something like that hope i helped
Step-by-step explanation:
What is the quotient of the division below?
3387-
45
46
48
49
Answer:
3199
Step-by-step explanation:
3387 – 45 – 46 – 48 – 49 = 3199
Answer:
It is 48
Step-by-step explanation:
trust me I did the test.
can someone help me answer the pic above
Answer:
The cop = 40 and the baseball cap = 3 and the baseball bat = 21
Step-by-step explanation:
So 40 - 21 + 3(2) = 25
Answer:
25
Step-by-step explanation:
look at the whole thing first. you see that the field = player so first you do 120/3. you get 40. then for teh second you have two "40's" and an unknown. so you do 101-80 because 40+40=80 and get 21. for the fourth you have 21/?=7 . we can do 21/7=3 to find this. so the helmet is 3. for the final we have 40-21+6 and that equals 25. thank you ;)
I need Help..please??
Answer:
56
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Two cars leave towns 1000 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car?
Answer:
90 km/hr
Step-by-step explanation:
If x is the speed of the slower car, and x+20 is the speed of the faster car, then:
5x + 5(x+20) = 1000
x + x + 20 = 200
2x + 20 = 200
x + 10 = 100
x = 90
Which system of equations has one solution?
Answer:
A is correct, when two lines have 1 intersection (1 solution).
Step-by-step explanation:
B Two lines are parallel => No intersection (no solution).
C Two lines are coincident => Many intersection (many solutions).
Hope this helps!
:)
Step-by-step explanation:
As these two lines are not parallel so going to intersect at one point so having one solution