Answer:
The total change in water level over the past 2 years is [tex]\displaystyle -4 \frac{1}{6}[/tex].
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightFractions
Proper and ImproperNumbers
Least Common Multiple (LCM)Step-by-step explanation:
Step 1: Define
Identify
Year 1 water change: [tex]\displaystyle -2 \frac{1}{3}[/tex]
Year 2 water change: [tex]\displaystyle -1 \frac{5}{6}[/tex]
Step 2: Find Total Water Change
[Set up] Add yearly water changes: [tex]\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}[/tex][Fractions] Convert to improper: [tex]\displaystyle \frac{-7}{3} - \frac{11}{6}[/tex][Fraction] Rewrite [LCM]: [tex]\displaystyle \frac{-14}{6} - \frac{11}{6}[/tex][Order of Operations] Subtract: [tex]\displaystyle \frac{-25}{6}[/tex][Fraction] Convert to proper: [tex]\displaystyle -4 \frac{1}{6}[/tex]According to the Community College Research Center at the Teachers College of Columbia University in New York, 32% of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among CBC students, so she decides to take a survey of CBC students to determine if her hypothesis is correct or not.
Required:
What is an appropriate formal hypothesis statement for Bryanna's study?
According to her study, we have that:
The null hypothesis is [tex]H_0: p = 0.32[/tex]The alternative hypothesis is: [tex]H_1: p > 0.32[/tex]At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:
[tex]H_0: p = 0.32[/tex]
At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:
[tex]H_1: p > 0.32[/tex]
A similar problem is given at https://brainly.com/question/25679468
The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.
Answer:
i: 14
ii: 140
iii: 770
(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.
Step-by-step explanation:
i: 650/40=14
ii: 14x10=140
iii: 14x55=770
In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?
Work Shown:
m = number of girls who have an A = 12
n = number of girls in the class = 15
probability = m/n = 12/15 = (3*4)/(3*5) = 4/5
Find the equation of the line which has slope 7 and y-intercept 2. Give your answer in the form y=mx+b
Answer:
y=7x+2
Step-by-step explanation:
Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.
Hope it helped!
The equation of the line is y = 7x + 2.
What is the equation of a line?The equation of a line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
m = 7 and c = 2
The equation of a line is,
y = mx + c
y = 7x + 2
Therefore, the equation of the line is y = 7x + 2.
More about the equation of line link is given below.
https://brainly.com/question/21511618
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Javad had a mix of yellow and red jellybeans as shown on the
graph. If there are 40 total jellybeans in his bag, how many
are red?
Hi there!!
The ratio of red jelly beans to yellow is 7:3.
There are 40 jelly beans.
7+3 is 10.
40/10 is 4.
7*4 is 28.
Therefore, 28 jelly beans are red.
Evaluate x? - x + 8 for x = -2.
=
Answer:
tan
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Answer:
6
Step-by-step explanation:
X+8 first substitute x
-2+8 solve
=6
What is the value of x in the solution to this system of equations?
y = x + 1
y = 5x + 13
Step-by-step explanation:
y=x+1
y=5x+13
=13x/1
=5x/x
The sum of one fifth of a number and 3 7/10 is 7. Find the number
Answer:
Step-by-step explanation:
3
A parabola can be drawn given a focus of (-11, -4) and a directrix of x=11. Write the equation of the parabola in any form.
Answer:
Step-by-step explanation:
This will open to the left and the vertex will be at (0, -4).
Equation us (y + 4)^2 = -4*-11x
44x = (y + 4)^2
Need help with this question
Answer: D
Step-by-step explanation: n
.
Explain why the two figures below are not similar. Use complete sentences and
provide evidence to support your explanation. (10 points)
Answer:
These figures are not the same because the Slope of DE is not the same as the slope of JK.
Step-by-step explanation:
Slope of DE = -2/1
Slope of JK = -1
If they were similar, the slope would be the same, but the size would not.
-Chetan K
What is the length of the unknown leg in the right triangle?
Answer:
a is 20 cm long
Step-by-step explanation:
I used a triangle solver to get that length, sorry I can't actually prove it step by step
hope this helps!
Translate to an equation and solve. Let x be the unknown number.
30% of 26 is what number?
Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8
Step-by-step explanation:
The radius of a circle is 16 ft. Find its area in terms of \pi
Explain why the order in an ordered pair is important
Step-by-step explanation:
An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.
The x-coordinate always comes first, before the y-coordinate.
(x, y)
Step-by-step explanation:
The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.
In an ordered pair, (x, y):
The first number, (x ) represents the first coordinate. It provides the location of the point relative to the horizontal axis of the coordinate plane.The second number, (y ) represents the second coordinate. It provides the location of the point relative to the vertical axis of the coordinate plane.We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.
For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.
Please see the attached screenshot where it shows how these two points have varying locations.
What is the value of v?
Answer:
34 degrees
Step-by-step explanation:
If you know the 2 interior angles of a triangle, you can find the 3rd.
This is useless since this is a right triangle.
In this case:
v + 46 = 90
v = 34 degrees
You are welcome!
Kayden Kohl
8th Grade Student
Simplify the expression. n+3(n−1)
Answer:
4n - 3
Step-by-step explanation:
[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]
need help with this please!!
Answer:
x = -4.
y = 0.
Step-by-step explanation:
Each element is multiplied by -2, so
-2 * x = 8
x = -4.
-2*y = 0
y = 0.
When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 2/25 lb of roast coffee?
Answer:
X - X/12 = 14 2/5 = 72/5 1/12 of X is lost in roasting
(12 X - X) / 12 = 72/5
11 X / 12 = 72/5
11 X = 864 / 5
X = 864 / 55
15.71 lbs handy to use calculator here
Or 864 / 55 = 15 39/55 lbs
Answer:
16 lbs
Step-by-step explanation:
Please help
Consider the graph of g(x)= 2-8x12. identify the y- intercept, the vertex, and the zero of the functions.
DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.
The regular price of a ticket to the game will be $24.25 based on the given data.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Total paid = $296
Number of tickets = 16
Cost per tickets = 296/16 = $18.5
This cost excludes the $5.75 saved due to the group.
Original price = $18.5 + $5.75 = $24.25
Hence "The regular price of a ticket to the game will be $24.25 based on the given data".
For more about the number system,
https://brainly.com/question/22046046
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there are 5 major train tracks from city x to city y and 3 major train tracks from city y to city z. how many trips can be made from city x to city z, passing through city y?
Answer:
3 trips
Step-by-step explanation:
I think it is three trips because 3 out of the 5 train tracks from city x were found in city y, therefore only 3 train tracks will be found in city z so there are 3 trips
shelby traveled 50 miles to her friends house every weekend until she found a shortcut now she travels 46 miles what is the percent of change
Answer:
8% decrease
Step-by-step explanation:
50 x 2 = 100
46 x 2 = 92
100 - 92 = 8
A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?
40m/s2
30m/s2
20m/s2
72m/s2
the correct answer whould be 65.62. but that is not a option for you so I dont know. try 72 it's the closest.
What is the slope of the line on the graph?
Answer:
Step-by-step explanation: to find the slope rise over run
Acute triangle from one point to the other
Answer 4/11
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Step-by-step explanation:
A plumber charges a base fee of $60, and then each hour of work costs $15. Yesterday Joe hired the plumber to fix his sink, at a total cost of $240. How many hours did the plumber work?
A set of house plans is made in the ratio 30:1. if a room is 6m long,how long is this room on the plan
Answer:
0.2
Step-by-step explanation:
30: 1
6:?
cross multiply
(6*1)/30
ans:0.2cm
how do you solve 15 divided by 2/9
Answer:
67.5 or 67 1/2
Step-by-step explanation:
15 ÷ 2
___________
9
The numbers in 15 divided by 2/9 are labeled below:
15 = whole number
2 = numerator
9 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
15 x 9 2 = 135
____
2
Thus, the answer to 15 divided by 2/9 in fraction form is:
135
_____
2
To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
135 / 2 = 67.5
The answer is rounded to the nearest two decimal points if necessary.
135/2 is an improper fraction and should be written as 67.5 or 67 1/2.
Hope this helps, have a nice day/night! :D
Answer:
67.5
Step-by-step explanation:
15 = 135/9
135/9 x 9/2 = 15 x 4.5 = 67.5
9/2 = 4.5
Brainliest?
Charlie saves $2 for every $9 he earns. Melody saves $4 for
every $12'she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned?
no they are not equivalent
Step-by-step explanation:
due that when you subtract 12 from 4 =8
but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more