Answer:
[tex]\large{x=\frac{y-a}{c}}[/tex]
Simplified
[tex]\large{x=\frac{y}{c}-\frac{a}{c}}[/tex]
You can either choose simplified or the first one. Both solutions work.
Step-by-step explanation:
First, we have to isolate x-term.
[tex]\large{y=a+cx}[/tex]
This form of equation is called "Literal Equation" where y-term is currently isolated. Now we are going to isolate x-term by subtracting both sides by a-term.
[tex]\large{y-a=a+cx-a}\\\large{y-a=cx}[/tex]
We can say that we simply move the term to the another side and change the sign to the opposite (From plus to minus)
The next thing we are going to do is to divide the whole equation by c-term. Remember, we do not just divide y-term or a-term. We divide the whole expression.
[tex]\large{\frac{y-a}{c}=\frac{cx}{c}}\\\large{\frac{y-a}{c}=x}[/tex]
Finally, the x-term is isolated and thus been solved.
The form of [tex]\large{\frac{y-a}{c}}[/tex] can be simplified to [tex]\large{\frac{y}{c}-\frac{a}{c}}[/tex]
Answer:
x = [tex]\frac{y-a}{c}[/tex]
Step-by-step explanation:
subtract 'a' first
divide by 'c' second
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70 peaches per tree. A scientist wishes to find the 95% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree
Answer:
She needs to sample 189 trees.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation of the population is 70 peaches per tree.
This means that [tex]\sigma = 70[/tex]
How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?
She needs to sample n trees.
n is found when M = 10. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{70}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.96*70[/tex]
Dividing both sides by 10:
[tex]\sqrt{n} = 1.96*7[/tex]
[tex](\sqrt{n})^2 = (1.96*7)^2[/tex]
[tex]n = 188.2[/tex]
Rounding up:
She needs to sample 189 trees.
In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received the experimental drug, the second group received a placebo, and the third group received no treatment. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. The average change in blood pressure was calculated for each of the three groups and the three averages were compared.
A. This was an experiment rather an observational study. How do we know that?
B. Identify the factors and levels.
C. Are all the principles of experimental design included in this experiment? Explain.
Answer:
A. We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."
B. The factors are the variables. The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments. Another variable is the change in blood pressure recorded at the end of the period.
The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.
C. The principles of experimental design are Randomization, Repetition, and Control. We are not aware of how the participants were chosen and this experiment was not replicated in the scenario. We can affirm that there is Control because the three groups were not given the same treatment.
Step-by-step explanation:
In an observation, the researcher does not attempt to change any variables. She simply observes and then records her observations. In an experimental study, the researcher creates a control group and, also at least, one testable group. The purpose is to compare the control group and the testable group.
Marisol rolled a six-sided number cube 200 times. Her results are in the table shown.
what is the experimental probability of Marisol rolling a 5? Answer the answer as a percent.
Answer:
18%
step by step explanation:
36/200 × 100=18
Answer:
3/10
Step-by-step explanation:
the answer is 3/10 hope this helps may i be marked brainliest?
please help me attachment below
To the nearest whole unit, what is the perimeter of triangle ABC?
6 units
8 units
14 units
16 units
Answer:
14 unit I think hope it helps
5(y-10) = -5 solve...
Answer:
y=9
Step-by-step explanation:
5(y-10)=-5
5y-50=-5
+50 +50
5y=45
/5 /5
y=9
What is the median of the dot plot for 4,6,6,7,9
Answer:
6
Step-by-step explanation:
6 is in the middle with 2 numbers on each side so it is the medium
What is the area of the trapezoid? A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.
Answer:
on edge its ur cool
Step-by-step explanation:
Izara built a fence for her horses. The fence was 210 feet long. She put a fence post in the ground at the start of the fence and another fence post every 3 12 feet. Izara paid $8.50 for each fence post.
How much did Izara pay for all the fence posts she used?
A. $297.50
B. $518.50
C. $595.00
D. $765.00
Question Help
A family buys 5 airline tickets online. The family buys travel insurance that costs $18 per ticket.
The total cost is $915. Let x represent the price of one ticket. Write an equation for the total cost.
Then find the price of one ticket.
Answer:
it would be
18 x 5x = 915
solve the equation
18 x 5 = 90
90x = 915
divide by 90
x =10.1666
Step-by-step explanation:
Question 1(Multiple Choice Worth 2 points)
(10.03 MC)
Select the sentence that correctly uses a prepositional phrase.
Andy in her backpack has extra supplies.
Around the corner. Belle spotted a lost dog.
Through her binoculars, Kathryn spotted a hawk.
Mika wore under her hiking boots thick wool sock
Answer:
i think the answer is c but im soo sorry if im wrong
Step-by-step explanation:
State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to state the hypotheses.
(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 75. This year 17students who took second-year calculus passed the placement test.
H0:μ>75;Ha:μ=75
H0:μ<75;Ha:μ=75
H0:μ=17;Ha:μ>17
H0:μ=17;Ha:μ≠17
(b) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 24 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 17 mice takes with the rap music as a stimulus.
H0:μ=24sec;Ha:μ>24sec
H0:μ=24sec;Ha:μ≠24sec
H0:μ>17sec;Ha:μ=17sec
H0:μ=17sec;Ha:μ<17sec
H0:μ=24sec;Ha:μ<24sec
(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet. A student group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion.
H0:μ=850ft2;Ha:μμ850ft2
H0:μ>850ft2;Ha:μ=850ft2
H0:μ=850ft2;Ha:μ>850ft2
H0:μ=850ft2;Ha:μ<850ft2
H0:μ<850ft2;Ha:μ=850ft2
Answer: (A)
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B)
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C)
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
Step-by-step explanation:
Null hypothesis [tex](H_0)[/tex]: It is a statement showing population parameters as per the objective of the study. It generally takes "≤,≥,=" signs. Alternative hypothesis [tex](H_a)[/tex]: It is also a statement describing population parameters as per the objective of the study. It generally takes ">, <, ≠" signs.(A) Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B) Objective: The mean time is 24 seconds or more for one particular maze.
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
Show on a number line 2/3 's?
A rectangle is drawn at (-4,-2) (-1,-2) (-4,-4) and (-1,-4). What is the perimeter?
Answer:
12
Step-by-step explanation:
Examine the following diagram:
In the diagram, how many pairs of vertical angles are
shown?
Answer:
4
Step-by-step explanation:
Vertical angles are angles formed when two straight lines intersects at a point forming vertical angles that share the same vertex and are directly opposite to each other.
In the diagram given, we have the following pairs of vertical angles:
<7 and <9
<8 and <10
<12 and <14
<11 and <13
Therefore there are 4 pairs of vertical angles
Use <, >, or = to compare the following decimals.
(a) 2.92 |?| 5.51
(b) 4.34 |?| 4.81
(c) 0.9 |?| 0.07
Answer:
A. < B. < C. >
Step-by-step explanation:
ein rechteckiger Bauplatz ist 39,5 m lang und 32,5 m breit . wie teuer ist der Grund ,wenn ein Quadratmeter Bauland 185,50 euro kostet???
So first you need to find the area of the building site which is:
length x width
39.5m x 32.5m
= 1283.75[tex]m^{2}[/tex]
We know that one square meter costs 185.50 euros.
1[tex]m^{2}[/tex] = 185.50 euros
1283.75[tex]m^{2}[/tex] = 238135.625 euros
I'm not exactly that familiar with euros but I'm pretty sure that euros don't have 3 numbers after the point so the two nearest numbers are 238134.86 and 238135.86.
sorry if this is wrong, but I hope it helps, if the euros part is wrong please correct me thanks!
HELP I WILL GIVE BRAINLY THING
Answer:
The answer is A.
Step-by-step explanation:
Hope this helps.
g(x) = –24 + 2x3 + 5x2 - 1
End of behavior
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
[tex]bit.^{}ly/3dXyuz8[/tex]
Find the mean of the data in the bar chart below. money in each persons piggy bank
Answer:
The chart is showing how much many is in each persons piggy bank.
Step-by-step explanation:
Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.
Answer: 10.5
Step-by-step explanation:
C a l c u l a t o r
also I tried it myself so thats even more proof :D
In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?
Answer:
20 students offered both physics and biology.
Step-by-step explanation:
n(Total) = 50
n(Physics) = 40
n(Biology) = 30
Let n(Physics and Biology) = x
n(Physics only) = 40 -x
n(Biology only) = 30 - x
40 - x + 30 - x + x = 50
70 - x = 50
x = 20
Find the areas of the sectors formed by ABC
Answer:
33.51 in^2
Step-by-step explanation:
Find the area of the circle:
A = πr^2
A = π * 8^2
A = 64π = 201.06 in^2
Find the area of the 60 deg slice:
A * 60/360 = 33.51 in^2
Leave a thanks and mark brainliest if this helped
Leave a thanks and mark brainliest if this helped
I need help with this
Cuál es la fracción equivalente decimal 0.01
Respuesta:
La fracción equivalente a 0.01 es 1/100.
Josh has solved for x in the inequality below
5-2x>3
-2x>-2
x>1
Choose the statement that is true regarding Josh's work shown above.
A- The solution is incorrect. Josh should have added 2x on both sides.
B- The solution is incorrect. Josh should have added 5 instead of subtracting 5.
C- The solution is incorrect. Josh should have flipped the inequality sign.
D- Josh's work and solution is correct.
Answer:
c
Step-by-step explanation:
cause he has to devide by a negative
What is 528 divided by 11?
Answer:
[tex]\sqrt[11]{528}[/tex]= 48
Step-by-step explanation:
[tex]\sqrt[11]{528}[/tex]= 48
48 x 11 = 528
Answer:
The answer is 48
Step-by-step explanation:
17% off a $35 dresser
Answer:
Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars
How many more sides does a decagon have than an octagon?
Answer:
2 more sides.
Step-by-step explanation:
Decagon = 10 sides
Octagon = 8 sides
The prefix Octa means 8 sides
example : Octa is in Octapus; and octopus have 8 legs or tentacles.
Answer:
2 sides.
Step-by-step explanation:
Correct me if I'm wrong but a decogon has 10 sides and an ogtagon has 8 sides so it might be 2.
Hey guys its me fitzroywilliamsjr6
Answer:
hello
Step-by-step explanation:
Answer:
Here, nice to meet you! I'm Avocadorable! lolz ;)
graph the line by plotting any two ordered pairs that satisfy the equation.
[tex]y = \frac{4}{3} x - 4[/tex]
One of the ordered pairs must be Y Intercept.
Points to the person who explains step by step, start to finish. Please note the correct set of ordered pairs is not random x to get y, or random y to get x variables. I tried that already and it was marked wrong.
Answer:
(0,-4)
(3,0)
Step-by-step explanation:
Let start at the orgin.
This is a linear equation since the equation is in the form of
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept.
Since we starting at the orgin, and b is our y intercept.
Our first point is
(0,-4).
since the slope is 4/3.
We would rise 4 from the y value and run 3 to the x value.
In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.
So our next point is at
(3,0).
U can continously go up 4 units and move 3 units to the right to find other points.
