Complete Question
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:
a)F minimum
b) F maximum
c) Frequency resolution
Answer:
a) [tex]Fmax=100Hz[/tex]
b) [tex]Fmin=0Hz[/tex]
c) [tex]F_r=0.0313[/tex]
Step-by-step explanation:
From the question we are told that:
Time [tex]t=32sec[/tex]
Frequency[tex]F=200Hz[/tex]
Segments [tex]\mu=5[/tex]
Generally the equation for Frequency Range is mathematically given by
[tex]Fmax=\frac{F}{2}[/tex]
[tex]Fmax=100Hz[/tex]
Therefore
a) [tex]Fmax=100Hz[/tex]
b) [tex]Fmin=0Hz[/tex]
c)
Generally the equation for Frequency Resolution is mathematically given by
[tex]F_r=\frac{F}{N}[/tex]
Where
N=The Total dat points
N=Sampling Frequency *Time
[tex]N=200*32[/tex]
[tex]N=6400[/tex]
Therefore
[tex]F_r=\frac{200}{6400}[/tex]
[tex]F_r=0.0313[/tex]
Please assist, I'm really bad with word problems
Answer:
The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]
Step-by-step explanation:
Given;
S(r) = 4πr²
where;
S is the surface area of the balloon
r is the radius of the surface
The radius of the balloon at time "t" is given as;
[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]
The surface area of the balloon as a function of time "t" is calculated as;
[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]
from first-time customers. A random sample of 161 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.35 and 0.45
Answer:
This probability that the sample proportion is between 0.35 and 0.45 is the p-value of [tex]Z = \frac{0.45 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex] subtracted by the p-value of [tex]Z = \frac{0.35 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex]. These p-values are found looking at the z-table.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Estimate of the proportion:
This is p, and thus, we use [tex]\mu = p[/tex].
Sample of 160
This means that:
[tex]n = 160, s = \sqrt{\frac{p(1-p)}{160}}[/tex]
What is the probability that the sample proportion is between 0.35 and 0.45?
This probability that the sample proportion is between 0.35 and 0.45 is the p-value of [tex]Z = \frac{0.45 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex] subtracted by the p-value of [tex]Z = \frac{0.35 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex]. These p-values are found looking at the z-table.
3. 72 in. ___ = ft help
Answer:
6 feet
Step-by-step explanation:
Answer:
72in is 6 feet
Step-by-step explanation:
Simplify Simplify 1 ∙ x - x/1
A. x
B. 1
C. 0
Answer:
0
Step-by-step explanation:
when the term has a coefficient of, it does not have to be written.
x- X/1
The sum of two opposites equals o
So the solution would be o
use the cummutative property of addition to write an expression equivalent to 15a+b
Answer:
15a + b = b + 15a
lol is this right?
Step-by-step explanation:
I need to calculate the surface area and volume of this figure.
but am not pretty sure
the volume of cone is =1/3 pie r² h
I think this is the formula to calculate it
Which pair of angles are complementary?
Answer:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Examples: 60° and 30° are complementary angles.
Answer:
Step-by-step explanation:
those two angles which gives 90 degree when added are complementary angles.
What is an inscribed polygon is being constructed
Answer:
An inscribed polygon might refer to any
polygon which is inscribed in a shape,
especially: A cyclic polygon, which is
inscribed in a circle
Answer:
A square
Step-by-step explanation:
The area of a rectangular rug is 16 square feet. If the length of the rug measures 6 feet long, what is the width?
Answer:
6ft
Step-by-step explanation:
javahvpaiudbajbd;kjbzcuvbjkabr;kabga
Answer:
2 2/3 ft
Step-by-step explanation:
w = A/l
plug in the values
w = 16/6
solve.
2.6... = 2 2/3
therefore the width of the rug is 2 2/3 ft
If a decagon is a regular decagon, then what is the measure of each interior angle?
a. 150°
b. 162°
c. 144°
d. 240°
Answer: the answer is 144 i kinda had the answer already
Step-by-step explanation:
Answer:
c. 144
Step-by-step explanation:
In a regular polygon, each interior angle has the same measure. There is a formula to find the angle given the number of sides. We are looking at a decagon, which has ten sides, so we would plug the value 10 into the following formula:
[tex]\frac{180(n-2)}{n}\\\frac{180(10-2)}{10} \\\frac{180*8}{10} \\18*8\\144[/tex]
This is option c.
Select the correct answer. Which graph represents the solution to the inequality?
Answer:
A
Step-by-step explanation:
First you simplify both sides to get -2.4x+14.4 > 52.8
then you need to subtract the 14.4 from both sides giving -2.4x> 38.4
then divide both sides by -2.4 giving an answer of
x is less than or equal to -16 meaning you point to the left with a closed circle
Which graph could represent the equation y=-x^2+4?
what is the circumference of circle with a diameter of 9 feet? Use 3.14 for tt
Answer:
28.26
Step-by-step explanation:
The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.
The measures of the angles of triangle ABC are 6x -7; 3x +10; and 10x +25 respectively.Find the measure of each angle of triangle ABCWhat type of triangle is ABC? Explain.
Answer:
41, 34, 105
Step-by-step explanation:
Given that :
Measure of angles :
6x -7; 3x +10; and 10x +25
Recall; sum of angles in a triangle is 180
(6x - 7) + (3x + 10) + (10x + 25) = 180
6x - 7 + 3x + 10 + 10x + 25 = 180
6x + 3x + 10x - 7 + 10 + 25 = 180
19x + 28 = 180
19x = 180 - 28
19x = 152
x = 8
Hence,
6x - 7 = 6(8) - 7 = 41
3x + 10 = 3(8) + 10 = 34
10x + 25 = 10(8) + 25 = 105
Solve 2x – 11 = k for x.
Answer:
(k+11)/2
Step-by-step explanation:
2x-11=k
2x=k+11
x=(k+11)/2
Alexia veut préparer un cocktail original
Answer:
????????????????????
What is the 5th term in the geometric sequence described by this explicit
formula?
an = 30 • (-2)(n-1)
Answer:
-240
Step-by-step explanation:
n = 5
a₅ = 30* (-2)(5 - 1)
= 30 * (-2)*4
= 30 * (-8)
= - 240
STEM:
If you can rewrite a quadratic equation as a product of factors that equals zero, you
can solve the equation. To solve equations in this manner, you must use all your
factoring skills.
Example:
What are the solutions of the equation x2– x = 20?
First rewrite the equation so that one side equals zero.
x2– x = 20
x2 – x – 20 = 20 – 20
x2 – x – 20 = 0
Subtract 20 from each side.
Simplify.
Now, factor to rewrite the equation as a product of factors equal to zero. Find two
integers whose product is –20 and whose sum is –1. The product of 4 and –5 is
–20, and the sum of 4 and –5 is –1.
x + 4 = 0
x + 4 – 4 = 0 – 4
x = –4
x2 – x – 20 = 0
(x + 4)(x – 5) = 0
or
or
or
x – 5 = 0
x – 5 +5 = 0 +5
x = 5
The solutions are –4 and 5.
These "solutions" tell us where our quadratic function passess through the x-axis (ie this tells us the "roots" aka "x -intercepts" aka "zeros" aka "solutions" aka "zeros" are)
Question:
In the graph provided in the example, what do the coordinates (-4,0) and (5,0) represent?
A
The y- intercept of the function (ie where the function passes through the y-axis)
B
The x-intercept of the function (ie where the function passes through the x-axis)
C
The vertex of the function
D
none of the above
E
the zeros of the quadratic function
F
the roots of the quadratic function
9514 1404 393
Answer:
A, E, F
Step-by-step explanation:
Every point on the graph has coordinates (x, f(x)). This means a point such as (-4, 0) or (5, 0) is a point on the x-axis where f(x) = 0. It is all of ...
an x-intercepta root of the functiona zero of the functionThese terms are used essentially interchangeably.
I need the answer plsss
Answer:
6
Step-by-step explanation:
Answer:
[tex]10\\[/tex]
Step-by-step explanation:
[tex]7\frac{1}{2} =\frac{15}{2}[/tex]
[tex]\frac{15}{2}[/tex] ÷ [tex]\frac{3}{4}=[/tex]
[tex]\frac{15}{2} *\frac{4}{3}=[/tex]
you don't have to, but cross simplifying is better to do right now so that the answer you get will be simplified.
[tex]\frac{5}{1} *\frac{2}{1}=[/tex]
[tex]=\frac{10}{1}[/tex]
[tex]=10[/tex]
Hope this helps
Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had decreased by 2%. If the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance. (Round your answer to one decimal place.)
For initial 100 milligrams of a radioactive substance was if decreased by 2% in 8 hours, then half-life of the radioactive substance is 108.3 hours.
Rate of change is the change in one variable due to change in other.
Given the following:
Amount of a radioactive substance initially present=100mg
After 8 hours, mass decreased by 2%
Mass after 8 hours= 100-(2% of 100)
=100-(2*100/100)
=100-2
=98
The rate of decay is proportional to the amount of the substance present at time t.
Mathematically,
Let the amount of radioactive substance is A and at time t,
[tex]\dfrac d{dt}A\ \alpha\ A\\\\[/tex]
[tex]\dfrac d{dt}A= kA\\\\\\dA=kAdt[/tex]
On integrating both sides,
[tex]\int \frac {1}{kA}dA=\int dt\\\\[/tex]
[tex]\dfrac {ln A}{k}=t +ln \ c_1\\ln A =kt+k\ ln \ c_1\\[/tex]
On taking antilogarithm both sides,
[tex]e^{ln A} =e^{kt+k\ ln \ c_1\\A=e^{kt}e^{k\ ln \ c_1}\\A=e^{kt}e^{\ ln \ c_1^k}\\A=e^{kt}c_1^k \\[/tex]
Let, [tex]c_1^k=c[/tex]
[tex]A =e^{kt}c[/tex].................................1
At t=0, A=100
Substituting values in 1
[tex]100= e^0c\\c=100[/tex]
At t= 8, A=98
[tex]98=e^{k8}100\\0.98=e^{8k}\\8k=ln0.98[/tex]
k=-0.0064.
To determine the half time of the decay.
At half time A became A/2=50 mg
Substituting in 1.
[tex]50=e^{-0.0064t}100\\ln 0.5=-0.0064t\\t=\frac{ln 0.5}{-0.0064}\\t=108.3042\\t=108.3[/tex]....................................rounded to one decimal place.
Thus, The half-life of the radioactive substance is 108.3 hr.
Learn more about rate of change, here:
https://brainly.com/question/29044610
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Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4
Find the solutions to 6x2 - 54x = 0
Answer:
14+28
Step-by-step explanation:
Answer:
6x^{2}-54x=0
6x2−54x=0
Step-by-step explanation:
linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4
Answer:
-x+y+6z=? You did not spcify so I just made it 0
x = -22/5, y = -4/5, z = -3/5
Step-by-step explanation:
Solve the following system:
{-x - 3 y - 2 z = 8 | (equation 1)
-x + y + 6 z = 0 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Subtract equation 1 from equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+4 y + 8 z = -8 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Divide equation 2 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Add equation 1 to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 12 y - 4 z = 12 | (equation 3)
Divide equation 3 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 3 y - z = 3 | (equation 3)
Swap equation 2 with equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+y + 2 z = -2 | (equation 3)
Add 1/3 × (equation 2) to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+(5 z)/3 = -1 | (equation 3)
Multiply equation 3 by 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+5 z = -3 | (equation 3)
Divide equation 3 by 5:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add equation 3 to equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y+0 z = 12/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Divide equation 2 by -3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 3 × (equation 2) to equation 1:
{-x + 0 y - 2 z = 28/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 2 × (equation 3) to equation 1:
{-x+0 y+0 z = 22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Multiply equation 1 by -1:
{x+0 y+0 z = -22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Collect results:
Answer: {x = -22/5, y = -4/5, z = -3/5
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
Answer:
a. angle 4 is congruent to angles 1, 2, 3, 5
b angle 5 is congruent to angles 1, 2, 3, 4
c. the sum of angles 1, 4, and 5 is 180°
d. The sum of angles 1, 2, and 3 is 180 °
Step-by-step explanation:
a. all angles are the same measurement
b. all angles are the same measurement, you know this by measuring
c. they are on a striaght 180 degree line
d. the sum of a triangles angles are always 180 degrees
Pls helllllpppppp!!! I don’t want anymore lectures from my parents and I don’t want to be the bad guy anymore. I need my grades up so pls no links or fake answers.
Your mom suggested ten different choices for you to eat for dinner over the next week. How many different ways can you choose your dinner?
A. 120
B. 240
C. 720
D. 960
Answer: I think the answer is 120
Step-by-step explanation:
I'm not sure tho
Which choice is equivalent to the quotient shown here for acceptable
values of X?
square root 30(x - 1)/square root15(x - 1)^2?
A. sr30(x - 1) - 5(x - 1)?
B. sr6(x - 1)
C. sr 6/(x - 1)
D. sr150(x - 1)^3
Find the volume of the cubes or rectangular prisms in cubic centimeters.
SS
8
125 cm
126cm
ਹੈ।
135cm
rectangular prism with a length,
width and height of 5 cm. 5 cm.
and 5 cm, respectively
cube with a side length of 5 cm
of a
cube with a side length of 5 cm
rectangular prism with a length,
width and height of 5 cm 5 cm.
and 5 cm, respectively
Answer:
ans : it is order wise
a) 6/125 cm³
b) 8/125 cm³
c) 1/125 cm³
d) 36/125 cm³
Step-by-step explanation:
a)
for rectangular prism = length × width × height
= (1/5) × (2/5) × (3/5)
= 6/125 cm³
b)
for cube = length³
= (2/5)³
= 8/125 cm³
c)
for cube = (1/5)³
= 1/125 cm³
d)
for rectangular prism = (3/5) × (4/5) × (3/5)
= 36/125 cm³
Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A rotated through?
Answer:
90 degrees
Step-by-step explanation:
If 3w +6=21 find the value of w
Answer:
[tex]3w + 6 = 21 \\ 3w = 15 \\ w = 5[/tex]
Hey there!
[tex]\mathsf{3w + 6 = 21}[/tex]
SUBTRACT 6 to BOTH SIDES[tex]\mathsf{3w + 6 - 6 = 21 - 6}[/tex]
CANCEL out: 6 - 6 because that gives you 0 KEEP: 21 - 6 because it helps you solve for w[tex]\mathsf{21 - 6 = \boxed{\bf 15}}[/tex]
NEW EQUATION: [tex]\mathsf{3w = 15}[/tex]DIVIDE 3 to BOTH SIDES[tex]\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}[/tex]
CANCEL out: [tex]\mathsf{\dfrac{3}{3}}[/tex] because that gives you 1KEEP: [tex]\mathsf{\dfrac{15}{3}}[/tex] because that gives you the value of wNEW EQUATION: [tex]\mathsf{\dfrac{15}{3}=w}[/tex][tex]\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
what is the measure of <B, in degrees.
Answer:
32
Step-by-step explanation:
The base angles of the triangle are the same since the sides are the same
<C = 74
A+B+C = 180 since the sum of the angles of a triangle = 180
74+B+74=180
Combine like terms
148+B =180
B = 180-148
B = 32
Answer:
[tex]\text{A. }32^{\circ}[/tex]
Step-by-step explanation:
From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].
Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:
[tex]\angle A+\angle B+\angle C=180[/tex]
Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:
[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]
