Answer:
90000
Step-by-step explanation:
Y = x(600 - x)
Let's rearrange the equation so that we have
Y = x(-x + 600)
Y = -x² + 600
When you take a look at parabolas, we know that their maximum or minimum values are usually on the axis of symmetry. This axis of symmetry has an equation of
x = -b/2a,
In this question, the axis of symmetry is
x = -600 / -2
x = 300
This means that planting 300 trees will maximize your yield. If you substitute for x = 300 into the equation, the maximum yield will be
y = 300 (600 - 300)
y = 90000.
Answer: 300
Step-by-step explanation:
use the formula X=-b/2a
x=-600/-2
x=300
HELP ASAP PLEASE
Given x^2=81, select all possible values of x.
A. -9
B. -3
C. 0
D. 3
E. 9
Answer:
A and E
Step-by-step explanation:
x² = 81
~Take the square root of both sides
x = ±9
Best of Luck!
Answer:
The answer is a and e
Step-by-step explanation:
A and B are complementary angles. If mA = (2x + 30)° and mB = (7x – 3), then find the measure of B.
Answer:
mB=46
Step-by-step explanation:
2x+30+7x-3=90
Combine like terms
9x+27=90
Subtract by 27 on both sides
9x=63
Divide by 9 on both sides
x=7
mB=(7x-3)
Substitute 7 for x
mB= 7(7)-3
mB= 49-3
mB=46
Answer:
The measure of B is 46°
Step-by-step explanation:
To solve this equation, you need to add the two equations, and set them equal to 90° since they are complementary angles
2x+30+7x-3=90
You also need to add like terms, so 2x+7x and 30+-3, or 30-3
9x+27=90
Then you need to isolate the variable by subtracting 27 from both sides
9x+27-27=90-27
=
9x=63
Then you need to divide both sides by 9 to get x=7
Since we know what x is, we plug x into the equation (7x-3) and we will now have 7(7)-3.
To solve this, we multiply 7 and 7, and subtract 3 to get 46.
So the answer is mB=46
I hope this helps!!
A magazine includes a report on the energy costs per year for32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.42 . Assume the sample is taken from a normally distributed population. Construct 98 % confidence intervals for (a) the population variance sigma squared and (b) the population standard deviation sigma .
Interpret the results. (a) The confidence interval for the population variance is (___,___ ). (Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98 % confidence, you can say that the population variance is less than ___.
B. With 2 % confidence, you can say that the population variance is between nothing and ___ .
C. With 98 % confidence, you can say that the population variance is between ___ and ___ .
D. With 2 % confidence, you can say that the population variance is greater than ___
(b) The confidence interval for the population standard deviation is (n___,___). (Round to two decimal places asneeded.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98% confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2% confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
Answer:
a
The confidence interval for the population variance is [tex] 5.49 < \sigma^2 < 37.02 [/tex]
The correct option is C
b
The confidence interval for the population standard deviation is [tex] 2.34 < \sigma < 6.08 [/tex]
The correct option is A
Step-by-step explanation:
From the question we are told that
The sample size is n = 14
The standard deviation is [tex]s = \$3.42[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 14 -1[/tex]
=> [tex]df = 13 [/tex]
Given that the confidence level is 98% then that level of significance is
[tex]\alpha = (100 -98) \%[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally the 98% confidence interval for the variance is mathematically represented as
[tex]\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}} < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}[/tex]
=> [tex]\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}} < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}[/tex]
From the chi -distribution table
[tex]x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107[/tex]
and
[tex]x^2 _{[\frac{0.02 }{2} , 13]} = 27.689[/tex]
So
=> [tex]\frac{(14- 1) (3.42)^2}{27.689} < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}[/tex]
=> [tex] 5.49 < \sigma^2 < 37.02 [/tex]
Generally the 98% confidence interval for the standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}} < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}[/tex]
=> [tex]\sqrt{5.49} < \sigma < \sqrt{37.02 }[/tex]
=> [tex] 2.34 < \sigma < 6.08 [/tex]
If 5/9 of a tank can be filled in 2minutes , how many minutes will it take to fill the whole tank?
Answer:
4 1/2 minutes
Step-by-step explanation:
.
I don’t understand this
Answer:
9 to the 5th power
Step-by-
Answer:
n=5 I think...
Step-by-step explanation:
9^7/9^n = 9^2
Multiply by (n)
9^7-n = 9^2
7-n=2
7-n=2: n=5
-n=-5
Simplify:
n=5
The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is
Answer:
[tex]D(x,y) = (-1.5,3.5)[/tex]
Step-by-step explanation:
Given
[tex]E = (-3,2)[/tex]
[tex]F = (3,8)[/tex]
[tex]ED: DF = 1 : 3[/tex]
Required
Determine the coordinates of D
This is calculated as thus:
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where:
[tex](x_1,y_1) = (-3,2)[/tex]
[tex](x_2,y_2) = (3,8)[/tex]
[tex]m:n = 1:3[/tex]
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]
[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]
[tex]D(x,y) = (-1.5,3.5)[/tex]
g The company charges a flat fee of $20 plus $0.48 for every mile the car is driven. Find the cost c c of renting a car from Rent-A-Wreck for a day when x x number of miles are driven.
Answer:
The cost for day when x miles are driven is
C = 0.48x + 20
Step-by-step explanation:
Firstly, we shall need to write an equation that represents the rent age
Let C be the cost and m is the number of miles driven
C = 20 + 0.48m
So given that x miles are driven, then m = x
This implies = 20 + 0.48x
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below.
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores. Which of the following test is appropriate for Dean's hypothesis?
a. One-way ANOVA
b. Paired samples t- test
c. One sample t- test
d. Independent samples t-test
Answer:
Paired samples t- test is appropriate for Dean's hypothesis
Step-by-step explanation:
Given Data :
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
We are supposed to find the test which is appropriate for Dean's hypothesis
We are given the grades of two different subjects for same student
We perform the paired t test because the final grades for the Marketing and Finance is taken for the same student.
So, Option B is correct
Hence Paired samples t- test is appropriate for Dean's hypothesis
How many edges are there on a cylinder?
Answer:
There are 0 number of edges on a cylinder
A bug starts at the origin of the coordinate plane. The bug moves One-fourth units right and One-fourth units down to point A. Which graph shows the location of point A?
Answer:
the answer would be d
Step-by-step explanation:
i took the test on edge2020
Answer:
D
Step-by-step explanation:
Edg 2020
An "extreme" pogo stick utilizes a spring whose uncompressed length is 46 cm and whose force constant is 1.4 x 104 N/m. A 60-kg person is jumping on the pogo stick, compressing the spring to a length of only 5.0 cm at the bottom of their jump. Which is the upward acceleration of the person at the moment the spring reaches its greatest compression at the bottom of their jump?
a. 96 m/s^2
b. 86 m/s^2
c. 976 m/s^2
d.860 m/s^2
Answer:
B. [tex]86\,\frac{m}{s^{2}}[/tex]
Step-by-step explanation:
From Newton's Laws of Motion, the spring is compressed against effects of weight of the person and as sping force is a restitutive force, the net force experimented by person is different from zero. By applying Second Newton's Law, we get this equation of equilibrium on person:
[tex]\Sigma F = k\cdot \Delta x -m\cdot g = m\cdot a[/tex] (Eq. 1)
Where:
[tex]k[/tex] - Spring constant, measured in newtons per meter.
[tex]\Delta x[/tex] - Change in the length of spring, measured in meters.
[tex]m[/tex] - Mass of the person, measured in meters.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]a[/tex] - Net acceleration of the person, measured in meters per square second.
Now we proceed to clear net acceleration:
[tex]a = \frac{k}{m}\cdot \Delta x -g[/tex]
If we know that [tex]k = 1.4\times 10^{4}\,\frac{N}{m}[/tex], [tex]m = 60\,kg[/tex], [tex]\Delta x = 0.41\,m[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the acceleration of the person when spring reaches its greatest compression at the bottom of their jump is:
[tex]a = \frac{1.4\times 10^{4}\,\frac{N}{m} }{60\,kg} \cdot (0.41\,m)-9.807\,\frac{m}{s^{2}}[/tex]
[tex]a = 85.859\,\frac{m}{s^{2}}[/tex]
Which corresponds to option B.
How can a transformed quadratic equation be used real life situation?
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Step-by-step explanation:
is this a equation or expression 4r+3=12
Answer:
Equation
Step-by-step explanation:
Because there is only one unknown term in it
I hope it helps
Thank U
Help out asap please!
Answer:1<x_<6 and the third line thing w the open circle (1) connecting to closed circle (6)
Step-by-step explanation:subtract 5 from both sides,
A person can pay $14 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $46?
Answer:
32
Step-by-step explanation:
First, subtract the membership free from the total cost:
46 - 14
= 32
To find how many visits they can make, divide this by 1:
32/1
= 32
So, the maximum number of visits a member can make is 32.
Answer:
32
Step-by-step explanation:
t> -5
can someone show step by step how to solve this equation?
Answer: The equation cannot be simplified any further.
Explanation: The variable(t) is greater than any number than negative five.
Plz mark brainliest:)
A certain scale has an uncertainty of 4 g and a bias of 2 g. A single measurement is made on this scale. What are the bias and uncertainty in this measurement
Answer: 0.8
Step-by-step explanation:
given data:
uncertainity = 4g
bias = 2g
solution:
σX =0.2 and σY = 0.4
σcX
= 3σX
= 4(0.2)
= 0.8
Please help multiple choice
Step-by-step explanation:
Hope this helps, good night
potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6
Simplify 5-3y+(-9y)+5.5
Answer:
-1.5y
Step-by-step explanation:
Identify the equation of the graph.
Answer: y=-2x-4 (C)
Step-by-step explanation: Its correct i swear
he is reading a novel into passive voiceWhat is the simplified form of the expression? 5 + 3(2)
Answer:
The answer is 11
hence 5 + 6 = 11
Answer:
hi
Step-by-step explanation:
[tex]5 + 3(2) = 11[/tex]
probably…
how long does it take an airplane if it files a distance of 2000 miles at a rate of 500mph
Answer:
4 hours
Step-by-step explanation:
We can find the time using the formula [ t = d/s ] where d = distance and s = speed.
t = 2000/500
t = 4 hours
Best of Luck!
What is the circumference of the following circle?
4 cm
cm
Answer:circumference=
=2×3.14×4
=25 .12
=circumference of the above circle is 25.12 sq.cm.
Step-by-step explanation:
Answer: 12.56
Step-by-step explanation:
I answered this on Khan Academy and it is 12.56
ANSWER ASAP! NEED HELP
Find the midpoint of the line segment joining the points R(3,3) and S(-2,6).
Answer: 2,9
(3,3) & (-2,6) midpoints
Answer:
(0.5,4.5)
Step-by-step explanation:
Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))
((3-2/2),(3+6/2))
((1/2),(9/2))
(0.5,4.5)
What is the value of f(0) on the following graph?
y = f(x)
Answer:
f(0)=2
Step-by-step explanation:
As the graph states y=f(x), so to solve you must find the value of y when x=0 (because that is what is in the paratheses). So go to the place on the graph where x equals 0 then follow up until you intersect with the function. If x=0 then y=2.
HELP! WILL MARK BRAINLIEST!
Answer:
The answer to this question is C.
Step-by-step explanation:
All that you have to do is multiply the exponents.
What is the quotient of 1 1/4 divided by 21 1/4
Answer:
quotient of 11/4 to be divided by 21 /1/4
gives you 7/8/11
If two lines meet and form right angles, then
Answer:
Perpendicular
Step-by-step explanation:
If two lines meet and form right angles, then they are perpendicular.