Distributive Property Distribute Denominator to 9a and -3
You Get 9a/3 -3/3
Nvm did this wrong
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category.
Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over)
Number of Individuals 56 86 44 14
The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23, pteen=0.45, padult=0.20, and psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is different from what the amusement park claims?
A. A one-sample z-test for a population proportion
B. A two-sample z-test for a difference between population proportions
C. A matched pairs t-test for a mean difference
D. A chi-square test for homogeneity
E. A chi-square goodness-of-fit test
Answer: chi square test goodness of fit
Step-by-step explanation:
Is used to investigate whether or not there is a significant difference between a distribution generated from a sample and a hypothesize population distribution
I will give extra points please help
Answer:
2
Step-by-step explanation:
First you find what is in the parentheses
2+7 =9
9-1 = 8
Then find the exponent because on PEMDAS
2 * 2 = 4
Then divide
8 divided by 4 = 2
2 is your answer
Anyone know how to do this?
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft
Answer:
0.43 ft/hr
Step-by-step explanation:
dv/dt = 15ft³/hr
Height = 10ft
We are required to get dh/dt
h = 3r
r = h/3
Formula for volume = 1/3πr²h
We put value of h
1/3π(h/3)²h
= 1/3π(h²/9)h
= 1/3πh³/9
= πh³/29
dv/dt = 1/27π.3h²dh/dt
= dv/dt = πh²/9dh/dt
Remember dv/dt = 15
When we put this in we get
dh/dt = 15x9/3.142x10²
= 135/314.2
= 0.43 ft³/hr
Please check the attachment I added also to add you.
michael used to play mobile legends under an avocado tree planted by his father 15 years ago. what benefit of propagating a tree was exhibited in the situation
Plantain is a large property, usually focused on a plantation's house, which is used for cash crop production.
Cotton, coffee, tea, chocolate, sugar cane, opium, sisal, oil seeds, oil palms, fruits, rubber trees, and agroforestry systems are among the crops farmed.
The benefits of propagating the trees are:
Trees lessen stormwater runoff, which helps to prevent erosion and pollution in our rivers, as well as the risk of flooding. Many animal species rely on trees as a source of food and shelter. Many species of wildlife depend on trees for food, security, and shelter.To know more about the benefits of propagating trees, refer to the link below:
https://brainly.com/question/18251106
Five times a number is 49 greater than the product of 2 and the opposite of the number, What is the number?
Answer:
The answer is 7
Step-by-step explanation:
5x+2x=49-2x+2x
7x=49+0
7x/7=49/7
x=7
The number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Five times a number is 49 greater than the product of 2 and the opposite of the number.
Let the number is x:
From the statement "Five times a number is 49 greater than the product of 2 and the opposite of the number" we can frame a linear equation in one variable:
5x + 2x = 49 - 2x + 2x
After solving the above equation:
7x = 49
x = 49/7
x = 7
Thus, the number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Deandre is going bowling with some friends. He pays $5 to rent a pair of bowling shoes and $7 per game, g. If Deandre spent $26, how many games, g, did he play?
What is the equation the represents this situation and what is the amount of games that he played?
PLEASE HELP!
Answer:
3
Step-by-step explanation:
he spend 26 dollars and bought the shoes for 5 dollars
26-5=21 so therefore you have to divide the amount of money per game
26÷7=3
There are 43 tiles in a bag. The colors are red, blue, green and yellow. Find the
number of each color tile given the following ratios:
red : blue = 2 : 3 blue : green = 2 : 1 green : yellow = 2 : 5
what is the number of tiles of each color??
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26
The formula for the volume of a cone is V = 1/3 πr^2 h. Which part of the formula represents the area of the base?
Factorise the following.
Answer:
x²(9x– 11)(9x + 11)
Step-by-step explanation:
81x⁴ – 121x²
The expression can be factorised as follow:
81x⁴ – 121x²
x² is common to both term. Thus:
81x⁴ – 121x² = x²(81x² – 121)
Recall:
81 = 9²
121 = 11²
Therefore,
x²(81x² – 121) = x²(9²x² – 11²)
= x²[(9x)² – 11²]
Difference of two squares
x²(9x– 11)(9x + 11)
Therefore,
81x⁴ – 121x² = x²(9x– 11)(9x + 11)
which answer would go with this problem (match the quadratic graph to an equation)
Answer:
Second (middle) option
Step-by-step explanation:
You can clearly tell from the graph that the y intercept is at 0,0
in [tex]ax^2+bx+c[/tex], c is always the y value of the y-intercept
in this case the value is 0 so there shouldn't be a visible "c" in the equation, which is why the answer is the middle option
The length of a swimming poollane
is 10 more than 2 times the width.
If the area is 300 square meters,
find the width of the lane. Write a
quadratic equation which can be
used to find x, the width of the
pool.
Answer:
x²+5x - 150 = 0
Step-by-step explanation:
Let the length be y and width be x
If the length of a swimming pool is 10 more than 2 times the width, then;
y = 2x+10 ...1
Since the Area is 300m²
A = xy
300 = xy .... 2
Substitute 1 into 2
300 = x(2x+10)
300 = 2x²+10x
Rearrange
2x²+10x - 300 = 0
Divide through by 2
x²+5x - 150 = 0
This gives the required quadratic expression
Margo is designing a label. The dimensions of the label are 3 1/2 inches by 1 1/4 inches. What is the area of the label?
Answer:
4.375 sq. in.
Step-by-step explanation:
multiply 1.25 by 3.5 and you get 4.375
What is x? I will give brainliest if you explain your answer.
Answer:
x = {0, π/2, 3π/2, 2π}Step-by-step explanation:
cotx cos x - cot x = 0cotx( cosx - 1) = 01. cotx = 0
x = π/2 + πnIn the interval [0, 2π] we have π/2 and 3π/22. cosx = 1
x = 0 + 2πnIn the given interval we have 0 and 2πSo the solution set is:
x = {0, π/2, 3π/2, 2π}Solve the systems of equations problem using Elimination.
{3x+6y=27
{x+2y=11
Please clearly explain how you got your answer.
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Mark has, in his kitchen, the ingredients needed to prepare 78 different recipes with two ingredients
each. Of those 78 different recipes, there are no two recipes that share the exact same two ingredients.
How many ingredients does he have?
Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
Family bought 12 oranges from the market. However, one-fourth of these oranges were rotten. How many oranges were not rotten?
Answer:
1/4 of them were rotten
rotten ones = 1/4 × 12 = 3
ones that weren't rotten = 12 - 3 = 9
Help me ASAP please
Answer:
no idea
Step-by-step explanation:
During free throw practice, Michael made 52 out of 80 free throw
attempts. What percent of the free throws did he make? *
Answer:
65%
Step-by-step explanation:
[tex]\frac{52}{80} \times 100=65[/tex]
. How many payments of $10 would it take Samuel to purchase the scooter shown at the right?
Answer:
8
Step-by-step explanation:
because it is 79, it would require 8 ten dollar payments, while there is a remainder of 1
Write a phrase for each algebraic expression using a word
from the given word bank. Your phrase must include a
word from the word bank.
WORD BANK: more than, less than, quotient, product, cubed
a) m * m * m
b) 4/m
c) 4 + m
d) 4m
e) 4 - m
Answer:
yessir
Step-by-step explanation:
Three points are coplanar
sometimes
Never
Always
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
Find the volume of the prism
Answer:
V= l x b x h
= 9cm x 6cm x 12cm
=648
Please help me solve this ;/
Answer:
Step-by-step explanation:
The area of a triangle is half the product of the base and the height
A=hb/2
A=(8 1/2)(14 1/6)(1/2)
A=(17/2)(85/6)(1/2)
A=1445/24 ft^2
A=60.21 ft^2 (approximately)
Answer:
I'm just going to answer so the "Genius" answerer can get Brainliest or something...
Step-by-step explanation:
3. You invested $11,000 in stocks and bonds paying 5% and 8% annual interest. If the total interest for the year was $730, how much was invested in each account?
4. A California company needs to blend a wine that is 6% alcohol, with a French wine which has a 9% content to obtain 200 gallons with a 7% alcohol content. How much of each kind should he use?
9514 1404 393
Answer:
3. $6000 at 8%; $5000 at 5%
4. 66 2/3 gallons of 9%; 133 1/3 gallons of 6%
Step-by-step explanation:
For many mixture problems, it works well to let a variable represent the amount of the largest contributor used in the mix.
3. Let x represent the amount invested at 8%. Then the total interest is ...
8%x +5%(11000-x) = 730
3%x = 730 -550
x = 180/0.03 = 6000
$6000 was invested at 8%; $5000 was invested at 5%.
__
4. Let x represent the number of gallons of 9% content. Then the alcohol content of the mix is ...
9%x +6%(200 -x) = 7%(200)
3%x = 1%(200) . . . . . subtract 6%(200)
x = 200/3 = 66 2/3 . . . . . divide by 3%
200 -x = 133 1/3
66 2/3 gallons of 9% wine and 133 1/3 gallons of 6% wine should be used.
Write an equation when Angle A and Angle B are vertical angles
Answer:
X + Y = 180°
Step-by-step explanation:
We know that vertical opposite angles are equal
So,
Angle A = Angle B
So,
Assume;
Angle A = x
So,
Angle A + Y = 180°
So,
X + Y = 180°
Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z8?
78° =21
314
615
78
b
This is because alternate exterior angles are congruent when we have parallel lines like this.
Angle 2 and angle 8 are both outside the parallel lines, so that's what makes them exterior angles. Also, they are on alternating sides of the transversal line (angle 2 on the left, angle 8 on the right). So that's where the "alternating" comes from. The other pair of alternate exterior angles is angle 1 and angle 7.
58 points I need helpppp!
Answer:
14. x=30, y=15, z=165
15. x=10, y=25
Step-by-step explanation:
Answer:
1)
x= 30
y=15
z=150
2)
x= 10
y=25
Step-by-step explanation:
1)
2x+90+x=180
3x+90=180
x= 90/3=30
2y= x
2y=30
y= 30/2=15
2y+z= 180
30+z= 180
z= 150
2)
3x= 5x-20
5x-3x=20
x=20/2=10
2y+4y+ (5x-20) = 180
6y+30= 180
y= 150/6= 25
I hope im right!!
pls help me find the value of x!!!!
