Answer:
18
Step-by-step explanation:
=(
48
1
)(
3
8
)
=
(48)(3)
(1)(8)
=
144
8
=18
An experimental psychologist plans a study in which a crucial step is offering participants a food reward. It is important that the three food rewards be equal in appeal. Thus, a prestudy was designed in which participants were asked which of the rewards they preferred. Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots. Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
You must use all five steps in hypothesis testing:
Restate the question as a research hypothesis and a null hypothesis about the populations.
Determine the characteristics of the comparison distribution.
Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
Determine your sample’s score on the comparison distribution.
Decide whether to reject the null hypothesis.
Answer:
Step-by-step explanation:
From the information given:
[tex]\mathbf{H_o: there \ is \ no \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
[tex]\mathbf{H_a: there \ is \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
The characteristic of the comparison is a uniform distribution.
Since there are three categories from the data, then: the data obeys a U(0,3) distribution. However, supposed it happened that different food had the same appeal, thus, there will be uniform distribution in the preference score.
[tex]Degree \ of \ freedom \ df = n - 1 \\ \\ df = 3 - 1 = 2[/tex]
At 0.05;
Thus, at 0.05 and df of 2, the cutoff sample score at which [tex]H_o[/tex] will be reject is the critical value [tex]\mathbf{X_{0.05,2}^2 \ which \ is \ = 5.991}[/tex]
Prefered Observed Expected Expected (O - E) (O - E)²/ E
frequency frequency proportions
Cup cakes 16 20 0.333 -4.00 0.800
Candy bars 26 20 0.333 6.00 1.800
Dried apricots 18 20 0.333 -2.00 0.200
Total 60 20 1 -2.00 2.800
Thus the sample score is [tex]\mathbf{X^2_{observed} = 2.800}[/tex]
Decision rule: To reject the null hypothesis if the observed test statistic is higher than the critical value.
Conclusion: We fail to reject the null hypothesis and conclude that different foods have the same appeal to different people.
Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3
Answer:
x = 0
Step-by-step explanation:
I think you mean
[tex] \dfrac{x^2 + 3x}{x^3} [/tex]
The only undefined values of x come from the denominator, x^3.
A denominator cannot equal zero since division by zero is undefined.
Therefore if x^3 equals zero, you get an un defined expression.
We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.
x^3 = 0
Solve for x by taking the cubic root of both sides.
x = 0
Answer: x = 0
A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.
1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?
2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?
Answer:
I think the volume would be 9 times greater, and the surface area would be 3 times greater
Step-by-step explanation:
Answer:
the volume would be 9 times greater
the surface area would be 3 times greater
Step-by-step explanation:
Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.
Make a table for the rule y= -2x + 5
Answer:
y=5, x=0. that is the first. I'll leave the rest to you.
Step-by-step explanation:
Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]
Answer: y = - 3/2x + 5
Step-by-step explanation:
To write the equation in slope intercept form, you will have to find the slope and the y-intercept.
(-2,8) (8,-7)
To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.
-7 - 8 = - 15
8 - (-2) = 10
Slope: -15/10 = -3/2
The slope is -3/2
Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.
8 = -3/2(-2) + b
8 = 3 + b
-3 -3
b = 5
Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1 to 6. They
start by spinning to see who will go first. (Highest number will go first.)
1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?
Probability that Margaret will get a higher number than Carlos is 3/2.
What is probability?Probability is the measure of the likelihood of an event to occur.
Formula of probabilityP(E) = number of favorable outcomes/ total number of outcomes
Where, P(E) is the probability of an event.
According to the question we have,
A spinner goes from 1 to 6.
⇒ sample space = {1, 2, 3, 4, 5, 6}
⇒ Total number of outcomes = 6
Also, Carlos spins 3.
So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).
⇒ Total number of favorable outcomes = 3
Therefore,
The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
What is 25% of 60? I need this answer right away
Answer:
15
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
60÷25=2.4
Al simplificar la fraccion 150/600 a su mínima expresión se obtiene 15/6
Answer:
cierto
Step-by-step explanation:
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answer:
Height, h = 21 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99 ≈ 21 mm.
Therefore, the height of the cone is 21 millimeters.
Which of the following is not a characteristic of both experiments and
surveys?
A. The researcher exercises direct control over at least one variable.
B. Subjects should be randomly selected.
C. Data are collected about a population.
D. The data collected might be studied for patterns.
The researcher exercise direct control over at least one variable.
Answer:
C?correct me if I'm wrong
evaluate 3 + jk + k3 when j = 2 and k = 6.
Answer:
231
Step-by-step explanation:
4x-y=10
y=2
Pls show work will give Brainlyest
Answer:
give y is equal to 2
substituting the value of y, we get
4x -y = 10
4x=10 +2
4x=12
x=12÷4
therefore x =3
Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)
It's 8x + 16y/2 + 4x - 4y :))
Answer:
8x+4y
Step-by-step explanation:
Distribute:
=4x+8y+(4)(x)+(4)(−y)
=4x+8y+4x+−4y
Combine Like Terms:
=4x+8y+4x+−4y
=(4x+4x)+(8y+−4y)
=8x+4y
Answer:
=8x+4y
I hope I helped!!
The school library is combining books from two storage units into a newly designed area for the library. The first original unit held 186 books
and the newly designed area has 307 books. Find the number of books in the second storage unit of the library.
Use the variable b for the number of books.
Answer:
221 books
Step-by-step explanation:
Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.
Answer: 5
Step-by-step explanation: edge 2021
You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.
The first equation should be multiplied by the constant 5
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.
Using above method for getting the needed constantThe system of equation we've got is
[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]
Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]
The resultant system of equation we will get is:
[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]
Thus,
The first equation should be multiplied by the constant 5
Learn more about system of linear equations here:
https://brainly.com/question/13722693
A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x
Answer:
i think it is a but i am not shore. Hope this helps
Step-by-step explanation:
Please help I am giving brainliest!
Answer:
6.3 in.^2
Step-by-step explanation:
The diameter of the circle is 4 in., so the radius of the circle is 2 in.
[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]
The two central angles have a total measure of 60 deg + 110 deg = 170 deg.
The central angle of the shaded sector is 360 deg - 170 deg = 190 deg.
We will use n = 190 deg in the area formula.
[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]
[tex] A_{sector} = 6.3~in.^2 [/tex]
Please answer this I rlly need help. If you answer correctly, I will mark you as brainliest. Please don't mess around and answer anything and steal points bcuz I rlly need help and I don't have time to be wasting my time so pls be kind and answer pls and ty
Answer:
A) h= 201-6t
B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour
C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B (coefficient in front of t)
D) 58 hours
Step-by-step explanation:
Candle A Went down 24 in 4 hours so thats 6 millimeters per hour.
A) h= 201-6t
Candle A Went down 24 in 4 hours so thats 6 millimeters per hour (how i found the coeffiecient in front of t.)
B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour
(Just interpreted the given equation)
C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B, although candle B is still 50% larger than candle A at the beginning of burning.
D) 290=5t
t=58 hours
It would take 58 hours for Candle B to burn down completely, from the given equation.
What is the equation of the function that is graphed as line b?
YA
D.
5
Oy=2x+1
O y=-4x
Answer:
C
Step-by-step explanation:
so taking the slope from the points (0,1) and (2,2)
we get slope= 2-1/2-0=1/2 the y intercept is one
so y=mx+b(where m is the slope and b is the y intercept)
we get= y=1/2x+1
which is C
if my answer helps please mark as brainliest.
please help and good night
Answer:
(7) n = ⁴/₃
(8) x = -5
(9) d = ³/₂
(10) v = -20
Step-by-step explanation:
(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]
[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]
(8)
[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]
(9)
[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]
(10)
[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]
Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
many lures would the store give to a customer who bought 8 fishing poles?
Answer:
40 lures
Step-by-step explanation
First, 10 for every 2 means multiplication. 2 goes into 8 4 times. 4x2=8
10 lures multiplied by 4 is 40.
I hope this helps! ツ
Please answer for instant brainliest.
Answer:
5 T-shirts
or
35 T-shirts
Step-by-step explanation:
Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).
In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.
Lets start with 185 t-shirts.
If we do 185 shirts x $15 per shirt we get $2775
That is way above the total of $2,375 so we know that this cant be the answer.
Next we can do 110 t-shirts.
If we do 110 shirts x $15 this time we get $1650.
Now while this is less than the total this is not a multiple of 10.
To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.
$2,375 - $1650 = $725
Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.
Moving onto 35 t shirts lets take the same steps.
35 x $15 (price of adult t-shirt)
We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)
$2,375 - $525 = $1850.
Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.
So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.
Lets do the last one.
5 t shirts multiplied by $15
We get $75 from this and now lets subtract again from the grand total.
$2,375 - $75 = $2,300
Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.
Anyways I hope this helps :)\
EDIT :
I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.
Question 6
A triangle has vertices at (-9,2).(-9, -6), and (-3,-6). What is the perimeter of the triangle in units?
Answer:
Step-by-step explanation:
Which graph represents the solution to the compound inequality?
–6 < 3x – 12 ≤ 9
A number line with an open circle at 2 with a bold line pointing to the left. A point at 7 with a bold line pointing to the right.
A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at 9 with a bold line pointing to the right.
A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at 9.
Answer:
B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
Step-by-step explanation:
B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
Answer:
B
Step-by-step explanation:
edge 2022
13.1 divided by 1.6, answer quickly.
Answer:
8.1875
Step-by-step explanation:
find all the numbers whose absolute value is -6
Answer:
6
Step-by-step explanation:
:-)
Allentown, Bakersfield, and Cowville are not in a line. If it is 57 miles in aline from Allentown to Bakersfield and 35 miles from Bakersfield to Cowville , how far is it from Allentown to Cowville?
Answer:
27
Step-by-step explanation:
322415154551
Answer:
92Step-by-step explanation:
Just simply add 57 to 35.
57+35=92
Josefina fue al banco para cambiar un cheque de $5000. La cajera le entregó 39
billetes, unos eran de $100 y otros de $200; ¿Cuántos billetes de $100 y cuantos de
$200 recibió Josefina?
Respuesta: 28 billetes de 100 y 11 billetes de 200
Explicación paso a paso:
X=39-y
200(39-y)+100y=5000
7800-200x+100y=5000
-100y=2800
Y=2800/100
Y=28 billetes de 100
X=39-28
X=11 billetes de 200
What is the solution to 3x - y = 13 and 2x + 5y = 20
Answer:
Step-by-step explanation:
x = 10 - 5/2y