If $y^2= 36$, what is the greatest possible value of $y^3$?
Answer:
216
Step-by-step explanation:
y = ±√36 = ±6
y³ = (±6)³ = ±216
The largest of these values is 216, the greatest possible value of y.
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 17 subjects had a mean wake time of 104.0 min. After treatment, the 17 subjects had a mean wake time of 97.5 min and a standard deviation of 21.9 min. Assume that the 17 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to be effective?
Answer:
The 95% confidence interval of mean wake time for a population with treatment is between 86.2401 and 108.7599 minutes.
This interval contains the mean wake time before treatment and which does not prove to be effective
Step-by-step explanation:
GIven that :
sample size n = 17
sample mean [tex]\overline x[/tex] = 97.5
standard deviation [tex]\sigma[/tex] = 21.9
At 95% Confidence interval
the level of significance ∝ = 1 - 0.95
the level of significance ∝ = 0.05
[tex]t_{\alpha/2} = 0.025[/tex]
Degree of freedom df = n - 1
Degree of freedom df = 17 - 1
Degree of freedom df = 16
At ∝ = 0.05 and df = 16 , the two tailed critical value from the t-table [tex]t_{\alpha/2 , 16}[/tex] is :2.1199
Therefore; at 95% confidence interval; the mean wake time is:
= [tex]\overline x \pm t_{\alpha/2,df} \dfrac{s}{\sqrt{n}}[/tex]
= [tex]97.5 \pm 2.1199 \times \dfrac{21.9}{\sqrt{17}}[/tex]
= 97.5 ± 11.2599
= (86.2401 , 108.7599)
Therefore; the mean wake time before the treatment was 104.0 min
The 95% confidence interval of mean wake time for a population with treatment is between 86.2401 and 108.7599 minutes.
This interval contains the mean wake time before treatment and which does not prove to be effective
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, yyy, when your friend swims xxx number of minutes. Y
Answer:
yyy = xxx + 151515
Step-by-step explanation:
Since you want to swim 151515 minutes longer one day at practice (note this time is actually 105 days), you simply need to swim the same amount of time as your friend, plus the extra time. Hence, your time will be equal to your friends time plus the extra time you plan to swim.
Give me the correct format of report writing plzzz (subject English) help plz
Step-by-step explanation:
Hi, there!!..
The format of report writing are given in points;
Title (reflects of report as its main function and it should be clear, brief, specific and weighty.)After title you have to right place and date.and start your body,
Background information about the report. (it should be clear and have reasons)Purpose (the report should have purpose)Actions or, sequences of happening should be clearly written. Characters mentioned should be written properly.and write conclusion,
Observation (it should be clear, factual and objectives).You may add comments on it.
Hope it helps....
A triangle has an area of 900m^2 . If a parallelogram has the same height and base as the triangle, what is the area of the parallelogram?
Answer:
area = 1800 m²
Step-by-step explanation:
area of one triangle = 900 m²
if a parallelogram has the same height and base as the triangle, then that means the area or the two triangle and shaped as a parallelogram
is twice the area given.
area = 900 * 2
area = 1800 m²
17. Convert the following measures of liquid measure. a. 3,450 deciliters to cubic decimeters _______ b. 124.3 hectoliters to deciliters _______ c. 9 liters to cubic centimeters _______ d. 32.5 liters to cubic decimeters _______
Step-by-step explanation:
. 345,000 cm³.
b. 124,300 hl.
c. 9,000 cm³.
d. 32.5 dm³.
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
a. 3,450 deciliters to cubic decimeters:
1 deciliter=100 cubic decimeters
(3,450dl)(\frac{100cm^{3}}{1dl})=345,000cm^{3}(3,450dl)(
1dl
100cm
3
)=345,000cm
3
b. 124.3 hectoliters to deciliters:
1 hectoliter=1,000 deciliters
(124,3hl)(\frac{1,000dl}{1hl})=124,300hl(124,3hl)(
1hl
1,000dl
)=124,300hl
c. 9 liters to cubic centimeters:
1 liter=1,000 cubic centimeters
(9L)(\frac{1,000cm^{3}}{1L})=9,000cm^{3}(9L)(
1L
1,000cm
3
)=9,000cm
3
d. 32.5 liters to cubic decimeters:
1 liter=1 cubic decimeter
32.5L=32.5dm^{3}32.5L=32.5dm
3
your answer follow me plzzz
Answer:
The first one is 345,000 cm³.
The second is 124,300 hl.
the Third is 9,000 cm³.
Anddd the fourth one is 32.5 dm³
:)
Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches negative 1 where f of x equals 4 minus x when x is less than negative 1, 5 when x equals negative 1, and x plus 6 when x is greater than negative 1
Answer:
5
Step-by-step explanation:
The limit of f(x) at x=-1 is 5 when approached from the left or right. Since those limits are the same, the limit exists and is ...
[tex]\boxed{\lim\limits_{x\to-1}f(x)=5}[/tex]
Someone help me with this, please!
Answer:
B = 26.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin B = 4/9
Take the inverse sin of each side
sin ^-1 sin ( B) = sin ^-1 ( 4/9)
B = 26.38779996
B = 26.4
Answer:
[tex]26.4\º[/tex]
Step-by-step explanation:
[tex]\theta=?[/tex]
[tex]$\sin(\theta)=\frac{opp}{hyp} = \frac{4}{9} $[/tex]
[tex]$\theta=\sin^{-1}\frac{4}{9} =\arcsin\frac{4}{9} \approx 26.4\º$[/tex]
The sum of three consecutive natural numbers is 555, find the numbers.
Answer:
184, 185, 186
Step-by-step explanation:
If the first number is x, the other numbers are x + 1 and x + 2, therefore we can write:
x + x + 1 + x + 2 = 555
3x + 3 = 555
3x = 552
x = 184 so the other numbers are 185 and 186.
Determine the measure of the unknown variables
Answer:
27°Step-by-step explanation:
Let's create an equation:
[tex]5y = 135[/tex]
( Being vertically opposite angles)
Now, let's solve
Divide both sides of the equation by 5
[tex] \frac{5y}{5} = \frac{135}{5} [/tex]
Calculate
[tex] y = 27[/tex]
Hope this helps...
Best regards!!
Kelly bought Mason’s home for $255,500. Mason had prepaid the annual property taxes of $2,650. If closing costs are calculated on a 365-day year, and the transaction closes on March 5, how much will Kelly owe Mason for property taxes? Carry numbers out four decimal places, but round to two decimal places for your final answer. The proration is calculated up to the day of closing, meaning that the buyer owns the day of closing. Be sure to include the last day of the year in your calculations.
Answer:
$2192.60
Step-by-step explanation:
March 4 is day 63 of the year. So, the amount of tax that Kelly needs to refund to Mason is the tax for the remaining 365 -63 = 302 days of the year.
Kelly will owe Mason ...
(302/365)($2650) = $2192.6027 ≈ $2192.60
The value of y varies inversely as the square of x, and y = 9, when x = 4.
Find the value of x when y = 1. Do not include "=" in your answer.
Answer:
The answer is
12Step-by-step explanation:
The above variation is written as
[tex]y = \frac{k}{ {x}^{2} } [/tex]
where k is the constant of variation
when y = 9
x = 4
We have
k = yx²
k = 9(4)²
k = 9 × 16
k = 144
So the formula for the variation is
[tex]y = \frac{144}{ {x}^{2} } [/tex]
when y = 1
[tex]1 = \frac{144}{ {x}^{2} } [/tex]
Cross multiply
x² = 144
Find the square root of both sides
x = √144
x = 12
Hope this helps you.
±2
Step-by-step explanation:
Cerra Co. expects to receive 5 million euros tomorrow as a result of selling goods to the Netherlands. Cerra estimates the standard deviation of daily percentage changes of the euro to be 1 percent over the last 100 days. Assume that these percentage changes are normally distributed. Use the value-at-risk (VaR) method based on a 95 percent confidence level. What is the maximum one-day percentage loss if the expected percentage change of the euro tomorrow is 0.5 percent
Answer:
The maximum one-day percentage loss = -1.15%
Step-by-step explanation:
Let assume that with the normal distribution, 95% of observations are smaller than 1.65 standard deviations above the mean.
Given that:
Cerra estimates the standard deviation of daily percentage changes of the euro to be 1 percent over the last 100 days.
if the expected percentage change of the euro tomorrow is 0.5 percent
and that Z value at 95% C.I level = 1.65
∵ The maximum one-day percentage loss = (expected percentage change - Z-Value) × standard deviation
The maximum one-day percentage loss = (0.5 - 1.65) × 1
The maximum one-day percentage loss = -1.15 × 1
The maximum one-day percentage loss = -1.15%
Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished when one person will be the lead, one will be the record keeper, and one will be the researcher
Answer:
504 ways.
Step-by-step explanation:
In this case, order matters. If Amy were lead, Bob were record keeper, and Charles were researcher, that would be different than if Bob were lead, Charles were record keeper, and Amy were researcher. So, we will be using a permutation formula to compute.
The formula is n! / (n - k)!, where n is the total number of people (9), and k is the number you are selecting (3).
9! / (9 - 3)! = 9! / 6! = (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1) = 9 * 8 * 7 = 72 * 7 = 504 ways.
Hope this helps!
If F(x) = f(g(x)), where f(−4) = 8, f '(−4) = 3, f '(−3) = 5, g(−3) = −4, and g'(−3) = 6, find F '(−3). F '(−3)
Answer:
F'(-3) = 18
Step-by-step explanation:
Let g(x) = u and apply the chain rule
[tex]F(x)=f(g(x))=f(u)\\F'(x)=\frac{df(u)}{du}[/tex]
[tex]\frac{du}{dx}=g'(x)[/tex]
[tex]\frac{df(u)}{du}*\frac{du}{dx} = \frac{df(u)}{dx}\\F'(x)= \frac{df(u)}{du}*g'(x)\\F'(x)= f'(u)*g'(x)\\F'(x)= f'(g(x))*g'(x)[/tex]
We now have all of the necessary definite values to solve the expression for x= -3:
[tex]F'(-3)= f'(g(-3))*g'(-3)\\F'(-3)= f'(-4)*6\\F'(-3)= 3*6\\F'(-3)= 18[/tex]
Finally, we have that F'(-3)= 18.
Franklin the fly starts at the point $(0,0)$ in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After $10$ steps, how many different points could Franklin end up at?
Answer: Franklin could end at 4 different points.
Step-by-step explanation:
Given: Franklin the fly starts at the point (0,0) in the coordinate plane.
At each point, Franklin takes a step to the right, left, up, or down.
i.e. there are 4 choices of directions [A coordinate plan has 4 quadrants]
If he moves 10 steps, then the number of different points Franklin could end up at = choices of directions
= 4
Hence, Franklin could end at 4 different points.
What is the y intercept of the function f(x)=2•3^x
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
[tex]f(x) = 2*3^x[/tex]
y intercept is when x = 0
So, Putting x = 0 in the above function
=> f(0) = [tex]2*3^0[/tex]
=> f(0) = 2*1
=> f(0) = 2
So, y-intercept is (0,2)
Answer:
A
Step-by-step explanation:
f(x) = 2 × 3^x
Plug x as 0 to find y-intercept.
2 × 3⁰
2 × 1
= 2
what is the average when you add 122.99%, 108.46% and 102.65%? I don't know how to add percentages.
Answer:
111.33667
Step-by-step explanation:
You add percentages just like you would any other number.
122.9% + 108.46% + 102.65% = 334.01%
334.01%/3 = 111.33667
A certain medicine is given in an amount proportional to patient’s body weight. Suppose a patient weigh in 116 pounds requires 126 mg of medicine. What is the amount of medicine required by patient way and 174 pounds?
Answer: 189 mg.
Step-by-step explanation:
Let x be the weight of the body( in pounds) and y be the amount of medicine( in mg).
Given: A certain medicine is given in an amount proportional to patient’s body weight.
i.e. [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Let [tex]x_1=116\ \ \ ,\ y_1=126[/tex] , [tex]x_2=174[/tex]
then,
[tex]\dfrac{116}{126}=\dfrac{174}{y_2}[/tex]
[tex]\Rightarrow\ y_2=\dfrac{174\times126}{116}\\\\\Rightarrow\ y_2=189[/tex]
Hence, he amount of medicine required by patient weighing 174 pounds = 189 mg.
Harry is trying to complete his hill walking scouts badge. He is using a map with a scale of 1 cm : 2 km. To earn the badge he needs to walk 14 km. What is the distance he needs to walk on the map?
Answer:
7 cm
Step-by-step explanation:
14 / 2 = 7 cm
7cm is the distance Harry needs to walk on the map?
What is Distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are.
Given that,
Harry is trying to complete his hill walking scouts badge.
He is using a map with a scale of 1 cm : 2 km.
To earn the badge he needs to walk 14 km.
Let the distance he needs to walk on the map is x.
By given data we write an equation
1/2=x/14
Apply Cross Multiplication
14/2=x
7=x
Hence, 7cm is the distance he needs to walk on the map.
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ5
From which sphere of earth did this food did this food originate
Answer:
I'm not entirely sure what you are asking, could you comment on this answer the full question so I can edit this question to provide you an answer?
Answer: biosphere
Step-by-step explanation:
I am not sure what picture you are looking at but if it is 3 barbeque chicken legs in one image than this is your answer. The reason being that chickens can only be found on land and the land is considered part of the biosphere because bio = life
Five less than the product of 14 and Vanessa's height Use the variable v to represent Vanessa's height.
Answer:
14v - 5
Step-by-step explanation:
The product of 14 and v is 14v. 5 less than that is 14v - 5.
Answer:
7v = 119
Step-by-step explanation:
The triangles in the diagram are congruent. If mF = 40°, mA = 80°, and mG = 60°, what is mB?
Answer:
40
Step-by-step explanation:
The measure of m∠B in the triangle is 40°.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Since the triangles are congruent, we know that their corresponding angles are congruent as well.
Therefore, we have:
m∠B = m∠F = 40°.
Note that we also have:
m∠C = m∠A = 80° (by corresponding angles)
m∠H = m∠G = 60° (by corresponding angles)
Finally, we can use the fact that the sum of the angles in a triangle is 180° to find the measure of angle D:
m∠D = 180° - m∠B - m∠C = 180° - 40° - 80° = 60°.
Therefore,
m∠B = 40°.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
which of the following is the correct graph of the linear equation below? y+3=-2/3(x-4)
Answer:
see details.
Step-by-step explanation:
Graphs from question not yet uploaded, so read attached graph to make a match.
Simplify the expression:
4 + 5u + 8 – 4
Answer:
5u+8
Step-by-step explanation:
Both of the 4's will cancel out with each other.
5u+8. it works actuallly by taking common nunbers and cancelling them. in this case. 4. leaving it with just 5u+8 :)
Eli is making a party mix that contains pretzels and chex. For each cup of pretzels, he uses 3 cups of chex. He wants to make 12 cups of party mix.
Answer:
36 cups of Chex total.
Step-by-step explanation:
Well, he will obviously be using 12 cups of pretzels, so let's set that aside. For every cup of pretzels, there are 3 cups of chex. So, multiply 3x12. That will give you how much chex you will need.
Cirlce B is given the equation, (x-2)^2 + (y-9)^2 = 25. What are the coordinates of the center and the length of the radius?
Answer:
The answer to your question is Center = (2, 9) Radius = 5 units
Step-by-step explanation:
Data
(x - 2)² + (y - 9)² = 25
Process
1.- Determine the coordinates of the circle.
The coordinates are the numbers after the x and y just change the signs.
h = 2 and k = 9
Then the coordinates are (2, 9)
2.- The length of the radius is the square root of the number after the equal sign.
radius = [tex]\sqrt{25}[/tex]
radius = 5 units
i give you brailenst
Answer:
The answer is #3 which is 24%.
Step-by-step explanation:
6 × 100
25
25 into 100 is 4, then 6×4 = 24%
I really hope this helps :)
In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence is defined recursively as follows.
an + 2 = an + an + 1, where a1 = 1 and a2 = 1.
(a) Write the first 12 terms of the sequence.
(b) Write the first 10 terms of the sequence defined below. (Round your answers to four decimal places.)
bn =
an + 1/
an, n ? 1.
(c) The golden ratio ? can be defined by
limn ? In a study of the progeny of rabbits, Fibonacci (cbn = ?
, where
? = 1 + 1/?. Solve this equation for ?. (Round your answer to four decimal places.)
The question in part c is not clear, nevertheless, part a and part b would be solved.
Answer:
a. The first twelve terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
b. The first ten terms are:
1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.
Step-by-step explanation:
a. Given
an + 2 = an + an + 1
where a1 = 1 and a2 = 1.
a3 = a1 + a2
= 2
a4 = a2 + a3
= 3
a5 = a3 + a4
= 5
a6 = a5 + a4
= 8
a7 = a6 + a5
= 13
a8 = a7 + a6
= 21
a9 = a8 + a7
= 34
a10 = a9 + a8
= 55
a11 = a10 + a9
= 89
a12 = a11 + a10
= 144
The first twelve terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
(b)
Given
bn = an+1/an
b1 = a2/a1
= 1/1 = 1.000
b2 = a3/a2
= 2/1 = 1.000
b3 = a4/a3
= 3/2 = 1.500
b4 = a5/a4
= 5/3 = 1.667
b5 = a6/a5
= 8/5 = 1.600
b6 = a7/a6
= 13/8 = 1.625
b7 = a8/a7
= 21/13 = 1.615
b8 = a9/a8
= 34/21 = 1.619
b9 = a10/a9
= 55/34 = 1.618
b10 = a11/a10
= 89/55 = 1.618
The first ten terms are:
1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.
Segments AC and BD are diameters of circle O. Circle O is shown. Line segments A C and B D are diameters. Angle A O D is 73 degrees. What is the measure of Arc A D B? 107° 146° 253° 287°
Answer:
253°
Step-by-step explanation:
The central angle whose rays intercept a diameter of the circle has measure 180 deg.
m<AOD = 73 deg
m<DOB = 180 deg
m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m(arc)AOD = m<AOD = 253 deg
Answer: 253°
The solution is, the measure of Arc A D B is 253°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
given that AC and BD are diameters of circle O.
AC and BD intersect at point C the centre of the circle.
The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.
The central angle whose rays intercept a diameter of the circle has measure 180 deg.
m<AOD = 73 deg
m<DOB = 180 deg
m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m(arc)AOD = m<AOD = 253 deg
Answer: the measure of Arc A D B is 253°.
To learn more on angle click:
brainly.com/question/28451077
#SPJ7