Has 5 1/2 cups or 11/2
Needs 1 3/4 or 7/4
Divide how much she has by how much she needs
(11/2) / (7/4)
Is also the same as
(11/2) * (4/7)
Which equals
= 44/14
= 22/7
or 3 1/7
a pool contains 14,000 gallons of water if the pool leaks at a rate of 0.5 gallons per minute, write a linear equation to model this scenario.
with no water replacement, how much water would be left after 1.5 hours.
please show steps and help me fast :(
Answer:
See below
Step-by-step explanation:
Amount of water in pool = 14 000 - .5 x where x is in minutes
1.5 hr = 90 minutes
amount of water in pool = 14 000 - .5(90) = 13 955 gal
PLEASE HELP!!!!!!!
In comparison to the parent function f(x)=square root x,
When does a graph move up? When does a graph move down?
Answer:
Parent function:
f(x) = √x
Add a number to the value of the function, such as k:
f(x) = (√x) + k
If k is positive, the function moves up. If k is negative, the function moves down.
What 3x+6=21 will mark brainliest
Answer: x = 5
Step-by-step explanation:
3x + 6 = 21
3x = 21 - 6
3x = 15
x = 15/3
x = 5
Answer: X =5
Step-by-step explanation: Subtract both sides by 6 to isolate 3x:
3x+6-6=21-6
3x=15
Divide both side by 3 to come up with x:
X=5.
A shortcut method but it does not follow the correct rules of math but if you're in a hurry it works:
3x+6=21
transfer +6 converting the sign to a -6
3x-=21-6
Subtract 3x=15
Divide by the number with x (3)
x=5
PLEASE HELP ASAP!!!! FULL ANSWERS!!!! NO SCAMS OR TOMFOOLERY!!!!
A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by h ( t ) = − 16 t 2 + 80 t + 384 .
What is the rocket's maximum height? ______________ feet
How long does it take for the rocket to reach its maximum height? ___________ seconds
After it is fired, the rocket reaches the ground at t= ___________ seconds
The rocket's maximum height is therefore 2704 feet, its maximum height is reached in 3 seconds, and the rocket reaches the ground at time t=16 seconds.
Define parabola.A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given,
A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by h ( t ) = − 16 t 2 + 80 t + 384
Following is our relationship between height and time:
h ( t ) = − 16 t 2 + 80 t + 384
The vertex of the equation above is as follows because it is a parabola equation.
In this case, a = -16, b = 96, and c = 2560.
The highest point at:
= -96/(2×(-16)
= 96/32
= 3 sec.
Maximum height at three seconds later:
h = -16 ×3² + 96 × 3 + 2560
h = 2704 feet
The rocket reaches the ground at y = 0, adding the following value to the parabolic equation:
0 = 16t² + 96t + 2560
Once we've solved it, we'll get:
t = 16 or
t = -10
Time cannot be negative, so we will choose t = 16 seconds.
The rocket's maximum height is therefore 2704 feet, its maximum height is reached in 3 seconds, and the rocket reaches the ground at time t=16 seconds.
To learn more about parabola, visit:
https://brainly.com/question/4758229
#SPJ13
What's the point slope for Y = 1/2 X + 3/2
Answer:
1/2
Step-by-step explanation:
The equation given is put in slope intercept form
y = mx + b
where m = slope and b = y intercept
In the equation y = 1/2x + 3/2,
"1/2" takes the spot of "m" meaning that the slope of the equation is 1/2
Find the volume and surface area of a right circular cylinder with a diameter of 200 cm and a height of 100 cm
The volume of the right circular cylinder is 3141592.65 centimeter cube and the surface area is 125663.70 centimeter square
The diameter of the right circular cylinder = 200 cm
The radius = 200/2
= 100 cm
The height of the right circular cylinder = 100 cm
The volume of the right circular cylinder = π × [tex]r^2[/tex] × h
Where r is the radius
h is the height
Substitute the values in the equation
The volume = π × [tex]100^2[/tex] × 100
= 3141592.65 centimeter cube
The Surface area = 2πrh + 2π[tex]r^2[/tex]
Substitute the values in the equation
= 2×π×100×100 + 2×π×[tex]100^2[/tex]
= 62831.85 + 62831.85
= 125663.70 centimeter square
Hence, the volume of the right circular cylinder is 3141592.65 centimeter cube and the surface area is 125663.70 centimeter square
Learn more about right circular cylinder here
brainly.com/question/28448651
#SPJ1
Find the consumers' surplus if the demand function for a particular beverage is given by D(q) =
9=4
3000
(3q+ 1)²
and if the supply and demand are in equilibrium at
As per the given demand function and equilibrium point, the consumers' surplus is 852.072.
What is consumer surplus?
Consumer advantages from market competition are measured economically as consumer surplus. When customers pay less for a good or service than they are willing to, this is known as a consumer surplus.
Given demand function,
[tex]D(q) = \frac{3000}{(3q+1)^2}[/tex]
at q = 4
putting value of q in function,
[tex]q' = \frac{3000}{(3(4)+1)^2}[/tex]
[tex]q' = \frac{3000}{169}[/tex]
Finding Consumer Surplus
[tex]CS = \int\limits^q_0 {D(q) - q'} \, dq[/tex]
[tex]CS = \int\limits^4_0 {\frac{3000}{(3q+1)^2} - \frac{3000}{169} } \, dq[/tex]
[tex]CS = [-\frac{1000}{3q+1} - \frac{3000q}{169}]^4_0[/tex]
CS = [-(76.923)-(71.005)] - [-1000]
CS = -147.928+1000
CS = 852.072
Therefore, consumers' surplus is 852.072.
To know more about consumer surplus, go to link
https://brainly.com/question/13573671
#SPJ1
Complete Question
Find the consumers surplus if the demand function for a particular beverage is given by D(q)=(3000)/((3q+1)^(2)) and if the supply and demand are in equilibrium at q=4
what is the inverse of r(t)=5^t
Answer:
t(r) = log(r)/log(5) = log₅(r)
Step-by-step explanation:
You want the inverse of r(t)=5^t.
Solve for tAn exponential function is solved using logarithms.
[tex]r = 5^t\qquad\text{given}\\\\\log(r)=t\cdot\log(5)\qquad\text{take logarithms}\\\\\boxed{t(r)=\dfrac{\log(r)}{\log(5)}}\qquad\text{divide by the coefficient of t}[/tex]
The change of base formula can be used to simplify this a bit.
[tex]\boxed{t(r)=\log_5(r)}[/tex]
__
Additional comment
The latter form of the inverse function can be found directly at the first step by taking logarithms base 5.
The notation here is slightly different from the usual "inverse function" notation, where we designate the inverse of f(x) using f⁻¹(x). The notation we have used recognizes that the function r(t) generates ordered pairs (t, r), and the inverse function t(r) generates ordered pairs (r, t).
You are welcome to make use of whatever inverse function notation will satisfy your grader.
What is the best account to get a higher interest-rate but you cannot access the money for a fixed period of time? Why is this the best choice? Choose from CD, checking account, savings account,or money market account
A savings account with a set term and interest rate is known as a certificate of deposit (CD). While CDs often provide greater rates than traditional savings accounts, you can't get to your money right away until the term is over.
What account has the best interest rate?Interest rates on bank savings accounts.A savings account with a set term and interest rate is known as a certificate of deposit (CD). While CDs often provide greater rates than traditional savings accounts, you can't get to your money right away until the term is over.For a set amount of time, such as six months, a year, or five years, a certificate of deposit (CD) is a savings account that earns interest from the issuing bank. Your initial investment plus any accumulated interest is returned when you cash in or redeem your CD.To learn more about Certificate of Deposit (CD) refer to:
https://brainly.com/question/1874937
#SPJ1
√2-√x+6= -√x
Please show how to answer
Answer:
So you see what happened there
the sides are not equal so there is no answer
the answer that is the closest is 8 = 0
Step-by-step explanation:
Add x to both sides
2 - x + 6 + x = -x + x
simplify
2 + 6 = 0
simplify 2 + 6: 8
8 = 0
The sixth term of an arithmetic sequence is
3
2
, and the twelfth term iS
5
2
What is the common difference of the arithmetic
sequence?
The common difference is
The sixth term of an arithmetic sequence is 3/2 and the twelfth term is 5/2. The common difference is 1/6.
Define common difference.A common difference in an arithmetic series is one between any term and its predecessor, and it is typically denoted by the letter "d". So, subtract the first term from the second term, the second term from the third term, etc. to find the common difference of an arithmetic sequence. The common difference is the difference that exists between every pair of phrases that follow one another in a series. For instance, the number 3 is a common difference in the series 4, 7, 10, 13, etc. An arithmetic progression is a series of differences.
Given,
a₆ = 3/2
a₁₂ = 5/2
Arithmetic sequence:
a₇ = a₆ + d
a₈ = a₇ + d
a₈ = a₆ + 2d
a₉ = a₈ + d
a₉ = a₆ + 3d
...
a₁₂ = a₁₁ + d
a₁₂ = a₆ + 6d
As given,
a₆ = 3/2
a₁₂ = 5/2
Equating,
5/2 = 3/2 + 6d
6d = 1
d = 1/6
The sixth term of an arithmetic sequence is 3/2 and the twelfth term is 5/2. The common difference is 1/6.
To learn more about common difference, visit:
https://brainly.com/question/11559160
#SPJ13
Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
General form of an arithmetic sequence:
[tex]\boxed{a_n=a+(n-1)d}[/tex]
Where:
[tex]a_n[/tex] is the nth term.[tex]a[/tex] is the first term.d is the common difference between consecutive terms.n is the position of the term.Given terms:
[tex]a_6=\dfrac{3}{2}[/tex]
[tex]a_{12}=\dfrac{5}{2}[/tex]
Substitute the given terms into the formula to create two equations for a:
Equation 1
[tex]\begin{aligned}a_6=a+(6-1)d&=\dfrac{3}{2}\\\\a+5d&=\dfrac{3}{2}\\\\a&=\dfrac{3}{2}-5d\end{aligned}[/tex]
Equation 2
[tex]\begin{aligned}a_{12}=a+(12-1)d&=\dfrac{5}{2}\\\\a+11d&=\dfrac{5}{2}\\\\a&=\dfrac{5}{2}-11d\end{aligned}[/tex]
Substitute the second equation into the first equation and solve for d:
[tex]\begin{aligned}\implies \dfrac{5}{2}-11d&=\dfrac{3}{2}-5d\\\\\dfrac{5}{2}-11d-\dfrac{3}{2}&=\dfrac{3}{2}-5d-\dfrac{3}{2}\\\\\dfrac{2}{2}-11d&=-5d\\\\1-11d&=-5d\\\\1-11d+11d&=-5d+11d\\\\1&=6d\\\\\dfrac{1}{6}&=\dfrac{6d}{6}\\\\\dfrac{1}{6}&=d\end{aligned}[/tex]
Therefore, the common difference of the arithmetic sequence is ¹/₆.
6. In the coordinate plane, line D has slope 1 and y-intercept (0, 0). Line T is the result of dilating line D by a factor of 2 with center (3, 4). What are the slope and y-intercept of line T?
The slope of the line T will be 1 and the y-intercept will be (0,4) in the given coordinate plane.
What is slope?A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. In the case of the equation y = 3x - 7, the slope is 3 and the y-intercept is (0, 7). And b is the value of b in the point that is the y-intercept (0, b). By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.
Here,
The slope of line D=1
y-intercept=(0,0)
factor=2
coordinate=(3,4)
The slope will not change that will be 1.
y-intercept=0+4
=4
y-intercept=(0,4)
In the given coordinate plane, the y-intercept of line T will be (0,4) and its slope will be 1.
To know more about slope,
#SPJ13
What is $68.61 divided by 6?
Answer: 68.61/6 = 11.435
Need help with question
The required derivatives of the given hyperbolic functions are
d/dx(sinh3x) = 3cosh3x, d/dx(cosh7x) = 7sinh7x, d/dx(tanh6x) = 6sech²6x, d/dx(coth5x) = −5csch²5x, d/dx(sech3x) = −3sech3xtanh3x, and d/dx(csch7x) = −7csch7xcoth7x.
The differentiation formulas for the hyperbolic functions are below as
d/dx(sinhx) = coshx
d/dx(coshx) = sinhx
d/dx(tanhx) = sech²x
d/dx(cothx) = −csch²x
d/dx(sechx) = −sechxtanhx
d/dx(cschx) = −cschxcothx
As per the given question,
⇒ d/dx(sinh3x)
Using formula d/dx(sinhx) = coshx,
⇒ cosh3x × (d/dx(3x))
⇒ cosh3x (3)
⇒ 3cosh3x
⇒ d/dx(tanh6x) = 6sech²6x
⇒ d/dx(coth5x) = −5csch²5x
⇒ d/dx(sech3x) = −3sech3xtanh3x
⇒ d/dx(csch7x) = −7csch7xcoth7x
Thus, the required derivatives of the given hyperbolic functions are
d/dx(sinh3x) = 3cosh3x, d/dx(cosh7x) = 7sinh7x, d/dx(tanh6x) = 6sech²6x, d/dx(coth5x) = −5csch²5x, d/dx(sech3x) = −3sech3xtanh3x, and d/dx(csch7x) = −7csch7xcoth7x.
To learn more about the differentiation click here:
https://brainly.com/question/24898810
#SPJ1
IXL Help Fast Please !
Answer:
y=-2/5x+4/5
Step-by-step explanation:
it’s parallel so it will have the same slope
2=-2/5(-3)+4
2=6/5+4
2=1 1/5+4
2=5 1/5
5 1/5-2=3 1/5
We know this is 3 1/5 to big so we subtract it from y intercept
4-3 1/5
4/5 is the new y intercept
2=-2/5(-3)+4/5
2=6/5+4/5
2=10/5
2=2
So now the equation is true
Hopes this helps
Factor the following expression using the common factor -3
-9z - 21y - 2.4
The expression -9z - 21y - 2.4 when -3 is factored out is -3(3z + 7y + 0.8)
How to determine the factored expression?From the question, we have the following expression that can be used in our computation:
-9z - 21y - 2.4
The common factor is given as
-3
So, we divide -9z - 21y - 2.4 by 3
The results of these divisions are
-9z/3 = -3z
- 21y/3 = -7y
- 2.4 /3 = -0.8
So, we have the following results
-9z - 21y - 2.4 = -3(3z + 7y + 0.8)
Hence, the factored expression is -3(3z + 7y + 0.8)
Read more about expressions at
brainly.com/question/18631189
#SPJ1
14.
Solve for x.
8/6 = 12/x
Answer:
∴ [tex]x = 9[/tex]
Step-by-step explanation:
[tex]\frac{8}{6} = \frac{12}{x}[/tex]
[tex](\frac{8}{6})(6x) = (\frac{12}{x})(6x)[/tex]
[tex]8x = 72[/tex]
∴ [tex]x = 9[/tex]
The value of x for the given question 8/6 = 12/x is 9.
In the given problem, we know that we need to perform fraction multiplication and algebra to find the value of x.
Here, on the left hand side, we have ⇒ 8/6 (i)
On the right hand side, we have ⇒ 12/x (ii)
To find the value of x, we perform cross multiplication between both sides (LHS and RHS). After performing this function, we get
⇒ 8x = 72
Solving this problem even further, we get
⇒ x = 9
Therefore, the value of x is 9 for the given problem.
Learn to know more about Fraction Multiplication on
https://brainly.com/question/1928793
how much more will $28,000 earn in interest than $16,000 if both invested in savings accounts with APYs of 5.8% for a year
The $28,000 investment will earn $696 more than the $16,000 investment if both make a 5.8% (APY) annual percentage yield for a year.
What is the APY?APY means annual percental yield.
Annual Percentage Yield describes the real interest rate earned on an investment in a year.
The Annual Percentage Yield refers to the interest an investment, saving, and loan attracts for the time value of money and inflationary effects.
The Annual Percentage Yield is applied to the investment amount for a year to calculate the interest earned.
Plan A Plan B
Investments $28,000 $16,000
Interest earned $1,624 $928 ($16,000 x 5.8%)
The difference in interest earned = $696 ($1,624 - $928)
Thus, when an investor puts $28,000 in a savings account at 5.8%, they earn $696 more than investing $16,000 at the same APY.
Learn more about the Annual Percentage Yield at https://brainly.com/question/8449462
#SPJ1
If f(x) = 2*+5, fill out the following table of values:
-1
0
x
What type of function is this?
1
2
3
Answer:
2
Step-by-step explanation:
i gotchu my boy
After selling tickets to dance for $3.25 each, the student council brought in $1020.50 from ticket sales. How many students attended the dance?
3317
3140
314
31.4
Answer
314
Step-by-step explanation:
hope this helps ya
In a survey of 2329 adults, 712 say they believe in UFOs.
Construct a 95% confidence interval for the population proportion of adults who believe in UFOs.
A 95% confidence interval for the population proportion is
(Round to three decimal places as needed.)
A 95% confidence interval for the population proportion is ( 0.297, 0.335 ).
What is confidence interval?
A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The parameter's true value, for instance, should be present in 95% of all intervals computed at the 95% level.
Given that,
Point estimate = sample proportion = p' = x / n = 738 / 2336 = 0.316
1 - p' = 1 - 0.316 = 0.684
Z(α/2) = Z(0.025) = 1.96
A 95% confidence interval for population proportion p is ,
p' ± E
= 0.316 ± 0.019
= ( 0.297, 0.335 )
With 95% confidence, it can be said that the population proportion of adults who believe in UFO's is between the endpoints of the given confidence interval
Learn more about confidence interval , by the following link.
https://brainly.com/question/17097944
#SPJ9
Please answer need to turn it in
Answer:
Step-by-step explanation:
c
Answer:
It's A
Step-by-step explanation:
I=Prt
I=$660(3.5%)5
I=23.1(5)
I=$115.50
PLEASE HELP ME ON THIS QUESTION!!! IT DUE TODAY SO PlEASE HELP MEEE
Answer:
Step-by-step explanation: xxxdadyxxx12 snap
y
A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
Solving a system of equations we will see that the speed of the wind is 60mi/h.
How to find the speed of the wind?When the plane flies with the wind, the two speeds adds up, while if the plane flies against the wind, the speeds need to be subtracted.
We know that the speed of the plane is 300 mi/h.
If the speed of the wind is W, then we can write the two equations:
(300 mi/h + W)*t = 600mi
(300mi/h - W)*t = 400mi
So we have a little system of equations, if we take the quotient between them we get:
[(300 mi/h + W)*t]/[(300mi/h - W)*t ] = 600mi/400mi
(300 mi/h + W)/(300mi/h - W) = 6/4
Now we can solve this for W.
(300 mi/h + W) = (6/4)*(300 mi/h - W)
W + (6/4)*W = (6/4)*300mi/h - 300 mi/h
W*(10/4) = 150 mi/h
W = (4/10)*150 mi/h
W = 60 mi/h
That is the speed of the wind.
Learn more about speed:
https://brainly.com/question/4931057
#SPJ1
Order each list of numbers from least to greatest. -0.6, 0, 0.5, 0.7,-0.2
Answer:
-0.6, -0.2, 0, 0.5, 0.7
Step-by-step explanation:
To find out this answer, we know first that negatives are the least. And -0.6 is farther away from 0 than -0.2, so we can have -0.6, -0.2 as our last numbers.
Then, 0.5 and 0.7 are greater than 0, so, then we have -0.6, -0.2, 0.
Then, 0.7 is greater than 0.5, so we can arrange the final numbers:
-0.6, -0.2, 0, 0.5, 0.7
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 12 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer: -0.6,-0.2, 0, 0.5, 0.7
Step-by-step explanation: Use a number line
Consider the equation:
0=x^2+4x+10=x
2
+4x+10, equals, x, squared, plus, 4, x, plus, 1
1) Rewrite the equation by completing the square.
Your equation should look like (x+c)^2=d(x+c)
2
=dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c)
2
=dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
2) What are the solutions to the equation?
1. The rewritten form of the equation is (x + 2)² = -6
2. The solutions to the equation are 0.45 and -4.45
Given,
The equation;
0=x^2+4x+10
1. We have to rewrite the equation;
x² + 4x + 10 = 0
x² + 4x = -10
Add the square of the half of coefficient of x to both sides
4/2 = 2
x² + 4x + 2² = -10 + 2²
x² + 4x + 4 = -6
(x + 2)² = -6
Therefore,
The rewritten form of the equation is (x + 2)² = -6
2. Calculate the value of x
(x + 2)² = -6
Square root both sides
√(x + 2)² = ±√6
x + 2 = ±2.45
x= ±2.45 - 2
x = 2.45 - 2 and -2.45 - 2
x = 0.45 and -4.45
Hence the solutions to the equation are 0.45 and -4.45
Learn more about solution for equations here;
https://brainly.com/question/23136094
#SPJ9
Answer:
0=x²+4x+1
3=(x+2)²
x=−2± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Drag each label to the image that is related to the type of transformation.
Dilation Translation Rotation Reflection
Rotation is represented by a table fan, Dilation enlargement by flowers, reflection by ducks building a heart, and translation by a window picture.
Compared to translation, reflection, and rotation, what is a dilation?
Dilation:
A dilation is a transformation that yields a different-sized image with the same general shape as the original.An enlargement is a dilatation that enlarges an image.A reduction is a dilatation that results in a smaller image.A dilatation expands or contracts the initial figure.With the aid of the figure included with the response, it could also be seen.Translation:
The graph is translated when it is moved left or right, up or down.Additionally, it was evident from the figure that accompanied the response.Reflection:
One way to conceptualize a reflection is as an object folded or "flipped" over the line of reflection.The pre-image of the original item is referred to as such, and the image is the reflection.The solution includes the accompanying figure.Rotation:
Shapes can be rotated by being moved around a fixed point (clockwise or anticlockwise, and by a certain number of degrees). Although the shape will remain precisely the same, its location within the room will shift.Visit Brainly.com/question/11914738 to learn more about Dilation Translation Rotation Reflection.
#SPJ1
In a program designed to help patients stop smoking, 175 patients were given sustained care and 82.3% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care.
We conclude that 80% of patients stop smoking when given sustained care.
Given,
The number of patients given sustained care = 175
Patients who were no longer smoking after one month = 82.3%
Significance level = 0.05
We have to claim that 80% of patients stop smoking when given sustained care.
Let p = percentage of patients stop smoking when given sustained care.
So, Null Hypothesis, H₀ : p = 80% {means that 80% of patients stop smoking when given sustained care}
Alternate Hypothesis, Hₐ : p 80% {means that different from 80% of patients stop smoking when given sustained care}
The test statistics that would be used here One-sample z test for proportions;
T.S. = [tex]\frac{p_{0} -p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, p₀ = sample proportion of patients who stop smoking when given sustained care = 82.3%
n = sample of patients = 175
So, the test statistics = [tex]\frac{0.823-0.80}{\sqrt{\frac{0.823(1-0.823)}{175} } }[/tex]
= 0.80
The value of z test statistics is 0.80
Also, P-value of the test statistics is given by the following formula;
P-value = P(Z > 0.80) = 1 - P(Z > 0.80)
= 1 - 0.21185 = 0.78815
Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that 80% of patients stop smoking when given sustained care.
Learn more about p value here;
https://brainly.com/question/16313476
#SPJ1
A car leaves Rockford, Illinois, at the rate of 70 mph, bound for Madison, Wisconsin. At the same time, a truck leaves Madison at the rate of 50 mph, bound for Rockford. If the cities are 72 miles apart, how long will it take for the car and the truck to meet?
Answer:
36 minutes
Step-by-step explanation:
The total distance covered by the two vehicles per hour: 70 + 50 = 120 miles.
Time is distance over velocity.
[tex]t=\frac{72}{120}[/tex] hours
Which simplifies to
[tex]\frac{3}{5}[/tex] hours.
Convert hours to minutes.
There is 60 minutes in 1 hour.
[tex]\frac{1}{60}=\frac{\frac{3}{5} }{x}[/tex]
[tex]x=36[/tex]
The heaviest freshwater fish caught in region A weighs 279 lb, and the
heaviest freshwater fish caught in region B weighs 619 lb. What
fractional parts of an English ton are each of these fish?
The both fractional parts of an English ton are each of these fish.
What is fractions?The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.The English ton, also known as the long ton, is equivalent to 2,240 pounds. Therefore, the fractional parts, of each of the two fish, of the English ton are:
Fish caught in region A weights = 279 lb
Therefore, fish caught in region A
A = 279 ÷ 2240
Fish caught in region B weights = 619 lb
Therefore, fish caught in region B
B = 619 ÷ 2240
Both fractions are irreducible.
So, both fractional parts of an English ton are each of these fish.
To know more about fractions refer to;
https://brainly.com/question/78672
#SPJ1
