Answer:
I think it would be 8 and 1/3 inches long
Step-by-step explanation:
P.S. You spelled inches wrong
Use the given confidence interval limits to find the point estimate p^ and the margin of error E. 0.325
Answer:
0.350
Step-by-step explanation:
Confidence interval = point estimate ± margin of error
Point estimate = Confidence interval - margin of error
To get the margin of error, we will take the average of the difference of the interval given. Given the confidence interval 0.325<p<0.375
Margin of error = 0.375-0.325/2
Margin of error = 0.050/2
Margin of error = 0.025
Using the interval of 0.375
Point estimate = 0.375 - 0.025
Point estimate = 0.350
Anyone help?? A screenshot is attached below
Answer:
113°
Step-by-step explanation:
By remote interior angle theorem:
a + 35° = a - 30° + a - 48°
a + 35° = 2a - 78°
35° + 78° = 2a - a
113° = a
a = 113°
at a maximum speed an airplane travels 2100 miles against the wind in 6 hours. Flying with the wind, the plane travel the same distance in 4 hours. what is the speed of the plane with no wind?
Step-by-step explanation:
Let w be the speed of wind and v be speed of airplane without wind.
[tex]average \: speed = \frac{total \: distance }{total \: time} [/tex]
(A)
[tex]speed \: against \: wind( v - w) = \frac{2100}{6} = 350mph[/tex]
(B)
[tex]speed \: with \: wind(v + w) = \frac{2100}{4} = 525mph[/tex]
(C)
Adding equations A and B, we get :
(v - w) + (v + w) = 350 + 525
2v = 875
V = 437.5 mph
Will mark brainliest who answers fastest and right
Answer: 330 people
Step-by-step explanation:
added them all up
(10c^6d^-5)(2c^-5d^4)
10c^6d^-5×2c^-5d^4
20cd^-1
20c×1/d
20c/d
Please help! Find the domain of y = 4 square root 4x + 2
Answer:
x ≥ -1/2
Step-by-step explanation:
We know that we cannot graph imaginary numbers. Therefore, our x value has to be greater than or equal to 0:
To find our domain, we need to set the square root equal to zero:
√(4x + 2) = 0
4x + 2 = 0
4x = -2
x = -1/2
We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2
Alternatively, we can graph the function and analyze domain:
pt 3 2-7 pleasee helpp
Answer:
-3x - 6 - 1
- 3x + 7
4x
Step-by-step explanation:
If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean equals 500 if you use the Z test
Answer:
Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Step-by-step explanation:
The hypotheses would be;
Null hypothesis;H0: μ = 500
Alternative hypothesis;Ha: μ ≠ 500
Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.
Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
If z=(x+y)ey and x=u2+v2 and y=u2−v2, find the following partial derivatives using the chain rule. Enter your answers as functions of u and v.
∂z/∂u= ______
∂z/∂v= ______
Answer:
Step-by-step explanation:
Given the functions z=(x+y)[tex]e^y\\[/tex] and x=u²+v² and y=u²−v²
Using the composite derivative formula;
∂z/∂u= ∂z/∂x*∂x/∂u+∂z/∂y*∂y/∂u
∂z/∂u = y[tex]e^y[/tex]*2u + [(x+y)[tex]e^y[/tex]+x[tex]e^y[/tex]]*2u
∂z/∂u =y[tex]e^y[/tex]*2u + 2u[x[tex]e^y[/tex]+y[tex]e^y[/tex]+x[tex]e^y[/tex]]
∂z/∂u = y[tex]e^y[/tex]*2u + 2u[2x[tex]e^y[/tex]+y[tex]e^y[/tex]]
∂z/∂u = 2u[u²−v²][tex]e^{u^2-v^2}[/tex]+ 2u[2(u²+v²)[tex]e^{u^2-v^2}[/tex]+y[tex]e^{u^2-v^2}[/tex]]]
∂z/∂v= ∂z/∂x*∂x/∂v+∂z/∂y*∂y/∂v
∂z/∂v = y[tex]e^y[/tex]*2v + [(x+y)[tex]e^y[/tex]+x[tex]e^y[/tex]]*-2v
∂z/∂v =y[tex]e^y[/tex]*2v -2v[x[tex]e^y[/tex]+y[tex]e^y[/tex]+x[tex]e^y[/tex]]
∂z/∂v = y[tex]e^y[/tex]*2v -2v[2x[tex]e^y[/tex]+y[tex]e^y[/tex]]
∂z/∂v = 2v[u²−v²][tex]e^{u^2-v^2}[/tex]-2v[2(u²+v²)[tex]e^{u^2-v^2}[/tex]+y[tex]e^{u^2-v^2}[/tex]]
If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year?
simple interest = Pxrxt
Answer:
The simple interest earned in one year is $10.5
Step-by-step explanation:
Simple interest = p × r × t
Where,
p = principal
r = interest rate
t = time
Principal= $350
Interest rate = 3%
=3/100
=0.03
Time= 1 year
Simple interest = p × r × t
= $350 × 0.03 × 1
= $10.5
The simple interest earned in one year is $10.5
What is 0.658 rounded to 1 significant figure?
Answer: 0.07 calculatorsoup for significant rounding
Calculate the surface area of the prism. Measurements are in centimetres
Please help me asap!!!! The correct answer is 2804
Answer:
2804 cm²
Step-by-step explanation:
Total area comprises of 6 faces: 2 trapezoids and 4 rectangles
Trapezoid = 1/2*(14+32)*24 = 552 cm² eachBottom = 17*32 = 544 cm²Top = 14*17 = 238 cm²Right side = 17*24 = 408 cm²Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²Total area:
552*2 + 544 + 238 + 408 + 510 = 2804 cm²
sameer usually drinks 3 cups of coffee in the morning. How many liters of coffee does he drink? Round your answer to the nearest tenth
Answer: 0.7 liters
Step-by-step explanation:
First convert 3 cups to Liters
3 cups = 0.709765
Now round 0.709765 to the nearest 10 which give you 0.7
Answer:
0.7 liters Hope this helps!
Step-by-step explanation:
Will mark brainliest
Answer:
Interquartile range => 7
Third quartile => 22
Range => 13
First quartile => 15
Step-by-step explanation:
Order your data set, from the least amount to the highest amount:
$12, $14, $15, $15, $15, $15, $16, $22, $24, $25
Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)
Q1 = the middle value of the lower part of the data set, from the median to your left.
Q3 = the middle value of the upper part of the data set, from the median to your right.
The median lies between the 5th and 6th value that is enclosed in the parenthesis below:
$12, $14, ($15), $15, $15,[Median], $15, $16, ($22), $24, $25
The median divides the data set into upper and lower part.
Median = [tex] \frac{15 + 15}{2} = 15 [/tex]
First quartile: Q1 = $15
Third quartile: Q3 = $22
IQR = $22 - $15 = $7
Range = highest amount - least amount = 25 - 12 = $13
The vector parametric equation for the line through the points (−1,−4,2) and (−1,0,−3) is:_______
Answer: [tex]x(t)=-1[/tex]
[tex]y(t)=-4+4(t)[/tex]
[tex]z(t)=2-5(t)[/tex]
Step-by-step explanation:
To find: The vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3).
Let A (−1,−4,2) and B(−1,0,−3)
First we find direction vectors : [tex]\overrightarrow{AB}=<-1-(-1),0-(-4),-3-2>[/tex]
[tex]<0,4,-5>[/tex]
Now, the parametric equations of the line:
[tex]x(t)=-1+0(t)[/tex]
[tex]y(t)=-4+4(t)[/tex]
[tex]z(t)=2-5(t)[/tex]
Hence, the vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3):
[tex]x(t)=-1[/tex]
[tex]y(t)=-4+4(t)[/tex]
[tex]z(t)=2-5(t)[/tex]
Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1
Find the critical points of [tex]f(x,y)[/tex]:
[tex]\dfrac{\partial f}{\partial x}=-2x=0\implies x=0[/tex]
[tex]\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12[/tex]
All three points lie within [tex]D[/tex], and [tex]f[/tex] takes on values of
[tex]\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}[/tex]
Now check for extrema on the boundary of [tex]D[/tex]. Convert to polar coordinates:
[tex]f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t[/tex]
Find the critical points of [tex]g(t)[/tex]:
[tex]\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0[/tex]
[tex]\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2[/tex]
[tex]\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi[/tex]
where [tex]n[/tex] is any integer. There are some redundant critical points, so we'll just consider [tex]0\le t< 2\pi[/tex], which gives
[tex]t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3[/tex]
which gives values of
[tex]\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}[/tex]
So altogether, [tex]f(x,y)[/tex] has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).
v−6(−3v+3) how do i do this and can you show me with work
Answer:
19v - 18
Step-by-step explanation:
Hello!
v - 6(-3v + 3)
Distribute the -6
-6 * -3v = 18v
-6 * 3 = -18
v + 18v -18
Combine like terms
19v - 18
The answer is 19v - 18
Hope this helps!
Answer:
V=6;v=1
Step-by-step explanation:
(V-6)(-3v+3)
-3v^2+3v+18v-18
-3v^2+21v-18
Multiple it by minus one we will get
3v^3-21v+18
Now breaking by midterm
3v^2-18v-3v+18
3v(v-6)-3(v-6)
(V-6)(3v-3)
V=6;v=1
Find the sum of (root2+root3)+(root3-root7)+(root7-root2
Answer:
Step-by-step explanation:
√2 + √3 + √3 - √7 + √7 - √ 2
by changing the position
√2 - √2 + √3 + √3 - √7 + √7
√2 and -√2 gets canceled
-√7 and √7 gets cancelled
we are left out with √3 + √3
√3 + √3 gives 2√3
so the answer is 2√3
hope this helps
plz mark as brainliest!!!!!!!!
The quotient of a number and 7 is equal to 13
Answer:
91
Step-by-step explanation: 7*13 = 91
91/7 = 13
If A is the set of all natural numbers, choose the set B that will make the following statement true
(See photo)
Answer:
b= {1,2,3,4} is the answer
What is 25+543\43 squared
Answer:
i think the answer is 0.3071
Step-by-step explanation:
But I might be wrong
A motorcyclist starts from rest and reaches a speed of 6m/s after travelling with uniform acceleration for 3s .
the question is what is his acceleration?
by calculation
Acceleration = final speed - initial speed / time
Acceleration = 6 m/s - 0 / 3s
Acceleration = 6m/s / 3s
Acceleration = 2 m/s^2
Answer:
[tex]\Huge \boxed{\mathrm{2 \ m/s^2 }}[/tex]
Step-by-step explanation:
[tex]\displaystyle acceleration = \frac{final \ velocity - initial \ velocity}{elapsed \ time}[/tex]
[tex]\displaystyle A = \frac{V_f - V_i}{t}[/tex]
The initial velocity is 0 m/s.
The final velocity is 6 m/s.
The elapsed time is 3 s.
[tex]\displaystyle A = \frac{6 - 0}{3}[/tex]
[tex]\displaystyle A = \frac{6}{3}=2[/tex]
The acceleration is 2 m/s².
You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.
You intend to estimate a population mean μ from the following sample. 26.2 27.7 8.6 3.8 11.6 You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.
Answer:
The Confidence interval = (8.98 , 22.18)
Step-by-step explanation:
From the given information:
mean = [tex]\dfrac{ 26.2+ 27.7+ 8.6+ 3.8 +11.6 }{5}[/tex]
mean = 15.58
the standard deviation [tex]\sigma[/tex] = [tex]\sqrt{\dfrac{\sum(x_i - \mu)^2 }{n}}[/tex]
the standard deviation = [tex]\sqrt{\dfrac{(26.2 - 15.58)^2 +(27.7 - 15.58)^2 +(8.6 - 15.58)^2 + (3.8 - 15.58)^2 + (11.6 - 15.58)^2 }{5 } }[/tex]
standard deviation = 9.62297
Degrees of freedom df = n-1
Degrees of freedom df = 5 - 1
Degrees of freedom df = 4
For df at 4 and 80% confidence level, the critical value t from t table = 1.533
The Margin of Error M.O.E = [tex]t \times \dfrac{\sigma}{\sqrt{n}}[/tex]
The Margin of Error M.O.E = [tex]1.533 \times \dfrac{9.62297}{\sqrt{5}}[/tex]
The Margin of Error M.O.E = [tex]1.533 \times 4.3035[/tex]
The Margin of Error M.O.E = 6.60
The Confidence interval = ( [tex]\mu \pm M.O.E[/tex] )
The Confidence interval = ( [tex]\mu + M.O.E[/tex] , [tex]\mu - M.O.E[/tex] )
The Confidence interval = ( 15.58 - 6.60 , 15.58 + 6.60)
The Confidence interval = (8.98 , 22.18)
3/7 is it< or> then 3/5
Two ways of solving:
1. Convert the fractions to decimals:
3/7 = 0.42857
3/5 = 0.6
0.42857 < 0.6
So 3/7 < 3/5
Second way is to rewrite the fractions with a common denominator:
3/7 = 15/35
3/5 = 21/35
Now compare the numerators:
15 < 21 so 3/7 < 3/5
Is -4 a irrational number?
Answer:
No.
Step-by-step explanation:
Irrational numbers are numbers that you can't solve like 3 squared. See you can't find the end of 3 squared, the numbers will go on forever just like pi.
Answer:
No
Step-by-step explanation:
A rational number can be written as the ratio of integers
-4/-1 = -4
This is a rational number
On a distant planet, a ball is thrown upwards from ground level , reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form a * x ^ 2 + bx + + c =0 that could be used to calculate when the ball is a height of 3m. Do not solve the equation
Answer:
(-3 ÷ 4)x^2 + 6x
Step-by-step explanation:
Data provided in the question
Maximum height = 12m
Number of seconds = 8
Height = 3m
Based on the above information, the quadratic equation is as follows
Since it took 8 seconds for reaching the maximum height and then it returned to the ground level so here the highest point is done after 4 seconds also this graph represents the motion in parabola so the a should be negative
Now it is mentioned that
a × x ^ 2 + bx + c =0
We can assume that
x = 0
x = 8
As these {0.8} are intercepts of x
When x = 0, then it would be
a × 0 ^ 2 + b(0) + c = 0 .................... (i)
Therefore 0 = 0
Now x = 8, it would be
a × 8 ^ 2 + b(8) + c = 0
Therefore a(8)^2 + b(8) + c = 0 ..................(ii)
As we can see that in the first equation c should be zero
While the second equation would be
64a + 8b = 0
i.e.
8a = -b or a = -b ÷ 8
Now as per the quadratic function, it appears
(-b ÷8)x^2 + bx + 0
Now the parabola vertex is (4, 12)
Now put this in the place of a
(-b ÷ 8)(4)^2 + b(4) = 12
Now for solving this b, all terms should be multiplied by 8
That comes
-b(16) + 32b = 96
16b = 96
So, b = 6.
As a = -b ÷8
a = -6 ÷ 8
a = -3 ÷4
Now the equation is
= (-3 ÷ 4)x^2 + 6x
Hence, this is the equation
In ΔKLM, the measure of ∠M=90°, the measure of ∠L=18°, and KL = 8.3 feet. Find the length of MK to the nearest tenth of a foot.
Answer:
2.6 ft
Step-by-step explanation:
8.3/sin 90 = MK/sin 18
MK = 8.3 sin 18 / sin 90
MK = 2.6 ft
Answer:
2.6
Step-by-step explanation:
4-2(3+2) ²
2.
Help me plz i need the help
Answer:
-46 is your answer.
Step-by-step explanation:
=4-2(3+2)^2
=4-2(5)^2
=4-2(5✖️5)
=4-2(25)
Opening brackets to simplify
=4-50
=-46 is your answer.
Hope it will help you :)
Answer:
-46
Step-by-step explanation:
[tex]4 - 2(3 + 2)^{2} \\ [/tex]
PEDMAS
[tex]4 - 2(5)^{2} \\ 4 - 2(25) \\ 4 - 50 \\ = - 46[/tex]
Daniel is starting his own sewing business. Daniel has calculated that he needs to earn $360 per week to support his family. If he knows he will only be able to work 30 hours per week, what is the minimum amount of dollars per hour will he need to charge his customers?
Answer:
$12 the hour
Step-by-step explanation:$360 divided by 30 is 12, meaning he will need to make a minimum of 12 an hour to support his family.
Answer: 12 dollars
Step-by-step explanation:
360 divided by 30 is 12
In which set(s) of numbers would you find the number
67
Orational number
irrational number
O whole number
integer
O natural number
O real number
Answer:
Rational
Explanation: because it can be expressed in the quotient of two integers:67÷1