Answer: Pr(4.19 ≤ X ≤ 4.81)
Step-by-step explanation:
First of all, let's calculate the mean;
x¯ = (4.3 + 5.1 + 3.9 + 4.5 + 4.4 + 4.9 + 5.0 + 4.7 + 4.1 + 4.6 + 4.4 + 4.3 + 4.8 + 4.4 + 4.2 + 4.5 + 4.4)/17
x¯ = 76.5/17
x¯ = 4.5
We are given standard deviation; s = 0.31
Now, z-value for a 68% Confidence interval is 1
Range in which the data falls is;
Range = x¯ ± zs
Range = 4.5 ± (1 × 0.31)
Range is;
Pr[(4.5 - 0.31) ≤ X ≤ (4.5 + 0.31)]
Pr(4.19 ≤ X ≤ 4.81)
Answer:
Pr (3.57 ≤ X ≤ 5.43)
Step-by-step explanation:
Took the quiz.
A cone has a height of 10cm. The base radius is 2.5cm. Calculate the volume of the cone.
Answer:
65.41 u³Step-by-step explanation:
A cone has a height of 10cm. The base radius is 2.5cm. Calculate the volume of the cone.
The formula for the volume of a cone is ⅓ r²h cubic units, where r is the radius of the circular base and h is the height of the cone.
1/3π2.5²×10 =
1/3π6.25×10 =
1/3π62.5 =
1/3×196.25 =
196.25:3 =
65.41 u³
Calcular el valor del ángulo que falta de dun triangulo rectangulo si uno de sus lados mide 25 grados.
Considerando la definición de triángulo rectángulo y sus propiedades, el valor del ángulo que falta de un triángulo rectángulo es 65°.
Definición de triánguloUn triángulo es un polígono que está determinado por tres segmentos de recta que se denominan lados, o por tres puntos no alineados llamados vértices.
En otras palabras, un triángulo es un polígono conformado por tres lados, así como por tres vértices y tres ángulos interiores.
Una de las propiedades de cualquier triángulo indica que la suma de los ángulos interiores es igual a 180°.
Definición de triángulo rectánguloEl triángulo rectángulo es una figura geométrica que se considera como un polígono formado por tres lados que forman un ángulo recto y dos ángulos agudos.
En otras palabras, el triángulo rectángulo es aquel que tiene un ángulo interior que es recto, es decir, mide 90º.
Valor del ángulo faltante en este casoEn este caso, sabes que:
Al ser un triángulo rectángulo, un ángulo interior mide 90°.Otro ángulo interior mide 25°. La suma de los ángulos interiores es igual a 180°.Entonces, el valor del ángulo faltante se puede calcular mediante:
90° + 25° + ángulo faltante= 180°
Resolviendo:
115° + ángulo faltante= 180°
ángulo faltante= 180° - 115°
ángulo faltante= 65°
Finalmente, el valor del ángulo que falta de un triángulo rectángulo es 65°.
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what is 4,928 will rounded to the nearest hundred
Answer:
4900
That is your answer..........
Consider the functions below. f(x)=8x^2+x+3, g(x)=4x-1, h(x)=3x+6. Which of the following statements is true?
A.
As x approaches infinity, the value of g(x) eventually exceeds the values of both f(x) and h(x).
B.
Over the interval [3, 5], the average rate of change of g and h is more than the average rate of change of f.
C.
Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g.
D.
As x approaches infinity, the values of g(x) and h(x) eventually exceed the value of f(x).
The functions f(x)=8x^2+x+3, g(x)=4x-1, h(x)=3x+6 C.Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g is true.
What is increasing function?
⇒ The function is said to be increasing if the y value increases as the x value increase over a given range
What is average rate of change?
⇒An average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another
As x approaches infinity the value of f(x) eventually exceeds the value of both g(x) and h(x)
And it is true for the interval [0,2]
The faster the growth rate higher the average rate of change
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Answer:
C.
Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g.
how much would you need to deposit in an account now in order to have 6000 in the account in 8 years. assume the account earns 6% interest compounded monthly
$3,717.14
Step-by-step explanation:Compound interest is the interest on the principal funding as well as the interest itself.
Compound Interest Formula
Compound interest can be solved by plugging known values into a formula.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]In this formula, the variables stand for different values.
A = total amountP = principal amountr = rate as a decimaln = times compounded per time periodt = timeSo, for this question, we can plug in the values we are given and solve for P.
Identifying Known Values
First, let's find the exact numbers we are going to plug in.
6000 is the final amount we want, so A = 6000.6%, the rate, is 0.06 as a decimal, so r = 0.06.Since interest is compounded each month per year, n = 12.The total time is 8 years, so t = 8.Solving For P
Now we can plug all of these values in.
[tex]6000=P(1+\frac{0.06}{12})^{12*8}[/tex]First, simplify the values within the parentheses and in the exponent through arithmetic.
[tex]6000 = P(1.005)^{96}[/tex]Next, divide both sides by [tex]1.005^{96}[/tex]
3717.14 ≈ P*Note that the answer has been rounded to the nearest hundredth.
This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
A circle is a shape formed by a curved side. Therefore, the required answers are:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR = [tex]\frac{264600}{44r}[/tex] degrees
An angle is said to be formed whenever two or more straight lines intersect or meet. But an inscribed angle is an angle formed within a given circle.
A circle is a shape formed by a curved side. Some of its parts are semicircle, radius, diameter, chord, sector, segment, etc.
Thus the following can be deduced from the given question:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR.
length of an arc = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
where r is the radius of the circle
105 = [tex]\frac{x}{360}[/tex] x 2 x [tex]\frac{22}{7}[/tex] x r
= [tex]\frac{44xr}{2520}[/tex]
44 xr = 105 x 2520
44xr = 264600
x = [tex]\frac{264600}{44r}[/tex]
Therefore the measure of angle QPR in terms of r is [tex]\frac{264600}{44r}[/tex] degrees.
5. The length of arc QTR can be determined by;
Arc QTR = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
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Sasha does push-ups each day for five days. The numbers of push-ups she does each day or shown below.
22, 36, 21, 25, 27
The mean average of push ups Sasha does in 5 days is 26.2.
Mean averageNumber of days = 5Day 1 = 22 push upsDay 2 = 36 push upsDay 3 = 21 push upsDay 4 = 25 push upsDay 5 = 27 push upsMean average = Total push ups done / number of days
= (22 + 36 + 21 + 25 + 27) / 5
= 131 / 5
= 26.2
Therefore, the mean average of push ups Sasha does in 5 days is 26.2.
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ASAP help me with this question <3 number 12
Answer:
False
Step-by-step explanation:
Consider an isoscles trapezoid with angles 75° and 105°.
Si la probabilidad de resolver un problema
cualquiera es p, entonces la probabilidad de
resolver un problema de n problemas
propuestos, es:
Utilizando la distribución binomial, la probabilidad de resolver un problema de n problemas propuestos, es p^n.
¿Cuál es la fórmula de distribución binomial?La fórmula es:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
x es el número de éxitos.n es el número de intentos.p es la probabilidad de éxito en un solo intento.La probabilidad de que todos los problemas sean resolvidos es dada por P(X = n), asi:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = n) = C_{n,n}.p^{n}.(1-p)^{n-n}[/tex]
P(X = n) = p^n
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HELP
If 10% of x is 20, what is 23% of x?
Answer:
46
Step-by-step explanation:
Answer:
46
According to question,
10% × x = 20
x = 20 ÷ 10%
x = 20 ÷ 0.1
x = 200
Now find 23% of x
23% × 200
0.23 × 200
46
Volume oblate spheroid
The volume of the oblate spheroid is approximately equal to 75.398 cubic feet.
What is the volume of an oblate spheroid?
In this problem we have the shape of an ellipse centered at origin, whose vertex form is shown below:
x² / a² + y² / b² = 1 (1)
Where a, b are the lengths of the semiaxes, in feet.
An oblate spheroid is generated by revolving half of the ellipse about the y-axis. Oblate spheroids are a kind of ellipse:
x² / a² + y² / b² + z² / a² = 1 (2)
Where a, b, c are the lengths of the semiaxes, in feet.
And the volume of the oblate spheroid is:
V = (4 / 3) · π · a² · b (3)
If we know that a = 3 ft, b = 2 ft, then the volume of the oblate spheroid is:
V = (4 / 3) · π · (3 ft)² · (2 ft)
V ≈ 75.398 ft³
The volume of the oblate spheroid is approximately equal to 75.398 cubic feet.
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Evaluate the expression. P(9, 2) · P(6, 5)
Answer:
51,840
Step-by-step explanation:
The format of P(n, r) is used for permutations,
where [tex]P(n, r) = \frac{n!}{(n - r)!}[/tex]
To evaluate this expression, P(9,2), we use the formula of permutation,
We have the value of n = 9 and r = 2, thus,
[tex]P(n, r) = P(9, 2) = \frac{9!}{(9 - 2)!} =\frac{9!}{7!} =\frac{9*8*7!}{7!} = 9 *8 =72\\[/tex]
To evaluate this expression, P(6, 5), we use the formula of permutation,
We have the value of n = 6 and r = 5, thus,
[tex]P(n, r) = P(6, 5) = \frac{6!}{(6 - 5)!} =\frac{6!}{1!} =\frac{6*5*4*3*2*1!}{1!} = 6*5*4*3*2 = 720[/tex]
Therefore the product of P(9, 2) · P(6, 5) is
72 · 720 = 51,840
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Remy obtains a 30-year mortgage in the amount of $625,000 for a co-op. She secures a 7/1 ARM at an initial interest rate of 3%. Her initial monthly payment is $2,635.03. After 7 years, the interest rate on her loan changes to 4.925%. Calculate her new monthly payment in year 8 of the loan. (Round your answer to the nearest cent.)
$
According to the adjustable-rate mortgage The new monthly payment in year 8 of the loan is $1292.
According o the statement
we have given that the
Remy obtains a 30-year mortgage in the amount of $625,000 And
She secures a 7/1 ARM at an initial interest rate of 3%. Her initial monthly payment is $2,635.03.
And we have to find the new monthly payment when its interest rate increased to the 4.925%.
So, For this purpose we know that the
An adjustable-rate mortgage (ARM) is a loan with an interest rate that changes.
The amount in which she bought mortgage = 625,000
Interest rate = 3%
Initial amount = 2635.03
From this it clear that the
The amount she pays in 7 years = 2635.03*7
The amount she pays in 7 years = 18445.21
The left amount = 625,000 - 18445.21
The left amount = 606554
It means the rate of interest increased on the amount 606554$
So, According to the 4.925% interest the monthly payment will become
amount on interest rate 4.925% = 4.925% *606554/23 years
amount on interest rate 4.925% = $1292.
So, According to the adjustable-rate mortgage The new monthly payment in year 8 of the loan is $1292.
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what is the answer for this question??? i need it
Answer:
f(4)=14
Step-by-step explanation:
a) u do it by substituting 4 in places where there r 'x'
since this one say f(4) it only can go to the function which says f(x)
f(x)=4x-2
f(4)=4(4)-2, so according to BODMAS rule multiplication comes first rather than subtraction
so, f(4)=16-2=14
f(4)=14
do the others based on this, hope i explained well, if i did, please gimme brainliest :)
Attached as picture. Please read fully
a. The velocity t = [tex]v = Ce_{n} (\frac{mo}{mo - kt} ) - gt[/tex]
b. v60 = 7164
How to solve for the velocitymdv/dt = ck - mg
dv/dt = ck/m - mg/m
= ck/m - g
dv = [tex](\frac{ck}{Mo-Kt} -g)dv[/tex]
Integrate the two sides of the equation to get
v [tex]-\frac{ck}{k} e_{n} (Mo- kt)-gt+c[/tex]
[tex]v = Ce_{n} (\frac{mo}{mo - kt} ) - gt[/tex]
b. fuel accounts for 55% of the mass
So final mass after fuel is burned out is = 0.45
c=2500
g=9.8
t=60
v = -2500ln0.45 - 9.8 x 60
= 7752 - 588
= 7164
Complete questionA rocket, fired from rest at time t = 0, has an initial mass of m0 (including its fuel). Assuming that the fuel is consumed at a constant rate k, the mass m of the rocket, while fuel is being burned, will be given by m0 - kt. It can be shown that if air resistance is neglected and the fuel gases are expelled at a constant speed c relative to the rocket, then the velocity of the rocket will satisfy the equation where g is the acceleration due to gravity.
dv dt m =ck - mg
(a) Find v(t) keeping in mind that the mass m is a function of t.
v(t) =
m/sec
(b) Suppose that the fuel accounts for 55% of the initial mass of the rocket and that all of the fuel is consumed at 60 s. Find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [Note: Take g = 9.8 m/s² and c = 2500 m/s.]
v(60) =
m/sec [Round to nearest whole number]
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-(×+3)=-8+10× is what
Answer: 5/11
Solution: x = 5/11
Step-by-step explanation:
Question: -(x+3)=-8+10x
Result -x-3=10x-8
Hope this help :)
Please give brainless
-(×+3)=-8+10× is a math equation with the solution of 5/11
Solve this system of linear equations. Separate the x- and y-values with a comma. 8x + 10y = 10 5x + 4y = -14
Answer
{-10, 9}
Step-by-step explanation:
The above are Simultaneous equations
What are simultaneous equations?These are two or more equations that share same variables.
8X + 10Y = 10--------(1)
5X + 4Y = -14-------(2)
Multiply equation (1) by 5 and equation (2) by 840X + 50Y = 50 ---------(3)
40X + 32Y = - 112--------(4)
Subtract equation (4) from (3)18Y = 162
Divide bothsides by 18[tex] \frac{18y}{18} = \frac{162}{18} \\ y = 9[/tex]
Substitute y = 9 into equation (3)40X + 50Y = 50
40X + 50(9) = 50
40X + 450 = 50
40X = 50 - 450
40X = - 400
[tex]Dividing \: bothsides \: by \: 40 \\ \frac{40x}{40} = \frac{ - 400}{40} \\ \\ x = - 10 \\ therefore \: the \: values \: are \: -10, \: 9[/tex]{-10, 9}
Which of the following is equivalent to (5)7/3
Answer:
11 and 2/3
Step-by-step explanation:
The given expression be [tex]$(5)^{7/3[/tex] then the value exists ³√5⁷.
What is exponential form?The base number exists raised to a power of the exponent numerator and estimated to the root of the exponent denominator.
Given: [tex]$(5)^{7/3[/tex]
The given expression contains an exponent of (7/3)
When we exist transforming from exponential form to radical form you always place the numerator as our constant's exponent in the radical ( [tex]$5^{\frac{7}{3} }$[/tex] exists named the radicand because it exists found in the radical) and the denominator in front of the radical, where it would be named the index.
The formula would be: [tex]$(\sqrt[n]{x})^{q}=x^{\frac{p}{q}}$[/tex]
Therefore, the correct answer is ³√5⁷.
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Sound intensity, I, from a spherical source is a function of the distance, r, from the source of the sound. It is represented by the function
uppercase I = StartFraction uppercase P Over 4 pi r squared EndFraction
where P is the power of the sound. Explain the behavior of the graph of I and what it means in context.
The behavior of the graph of I and what it means in context can be explained below:
What is Sound intensity?Sound intensity, serves as the power that is been carried by sound waves per unit area and this is usually in the direction perpendicular to that area.
we were given the function [tex]I = \frac{P}{4pir^2}[/tex]
r represent the Distance from the source of sound
P represent the Power of the sound
when there is increase in the distance from the source the intensity moves to zero.
we can see that there is is an inverse proportion between the Intensity and the distance r which implies that The intensity decreases when the distance increases.
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what is 4,928 will rounded to the nearest hundred
Answer:
4,928 rounded to the nearest hundred = 4,900
Step-by-step explanation:
Greetings!
Determine the two consecutive multiples of 100 that bracket 4,928.4,928 is between 4,900 and 5,000.4,950 is the midpoint between 4,900 and 5,000.As illustrated on the number line, 4,928 is less than the midpoint (4,950).Therefore, 4,928 rounded to the nearest hundred = 4,900.Hope it helps!
Answer:
The answer is 4900, because the next number is less than five, due to that we don't have to add a number (+1).
---
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A pail holds 3 1/2 gallons of water. How much is this in cups?
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using
a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3;
-2 and 7+5 i are zeros;
f(2)=200
f(x) =
(Type an expression using x as the variable. Simplify your answer.)
possible
4
Answer:
f(x) = x³ -12x² +46x +148
Step-by-step explanation:
When p is a root of polynomial function f(x), (x -p) is a factor. When the coefficients are real, any complex roots come in conjugate pairs.
Factored formGiven the two roots of f(x), we know the third root is the conjugate of the given complex root. The factored form will be ...
f(x) = (x -(-2))(x -(7 +5i))(x -(7 -5i))
Rearranging a bit, this is ...
f(x) = (x +2)((x -7) -5i)((x -7) +5i)
The latter two factors are recognizable as the factors of the difference of squares, so this is ...
f(x) = (x +2)((x -7)² -(5i)²) = (x +2)((x -7)² +25)
Standard formMultiplying the factors, we have ...
f(x) = (x +2)(x² -14x +49 +25) = (x +2)(x² -14x +74)
f(x) = x³ -14x² +74x +2x² -28x +148 . . . . . use the distributive property
f(x) = x³ -12x² +46x +148 . . . . . . . . . . collect terms
Can someone please help me with this?
Answer: Option (2)
Step-by-step explanation:
When x=10,
The median-median line gives [tex]y=1.4(10)+2.6=16.6[/tex].The least-squares regression line gives [tex]y=0.9(10)+4.2=13.2[/tex].13.2 is closer to 14 than 16.6, so the least-squares regression line is a better prediction.
Use the fact 0.09=1/11 to write 0.27 as a fraction
. What are the values a b and c In the following quadratic equation ? -6x^2-8x+12=0
Answer:
a = -6
b = -8
c = 12
Step-by-step explanation:
Quadratic equations follow the general structure:
ax² + bx + c = 0
In this equation, "a" and "b" serve as coefficients which modify the variables and "c" represents the y-intercept. Since the given equation is in the quadratic form, you can easily identify which values match the variables.
-6x² - 8x + 12 = 0
a = -6
b = -8
c = 12
Find the missing length indicated
Step-by-step explanation:
there is a nice formula for the height in a right-angled triangle :
h = sqrt(p×q)
h being the height to the 90° angle, p and q being the segments (left and right of the height) of the Hypotenuse.
so, in our case
x = sqrt(25×144) = 5×12 = 60
Find the volume of a cylinder that has a height of 6.5 feet and a radius of 1.3 feet.
Answer:
34.51ft³
Step-by-step explanation:
The formula to find the volume of a cylinder is :
V = π r² h
Here,
r ⇒ radius ⇒ 1.3ft
h ⇒ height ⇒ 6.5ft
Let us find now.
V = π r² h
V = π × ( 1.3 )² × 6.5
V = π × 1.69 × 6.5
V = 34.51ft³
Solve for x.
31-x=252
Answer: -221
Step-by-step explanation:
31 is smaller than 252. Therefore, since 31 MINUS x equals 252, x needs to be a negative number in order to complete the equation (recall that a negative number times a negative number equals a positive number).
Therefore, if we subtract 31 on both sides, in other words transpose, we get,
-x = 221
The coefficient of -x is -1, however it is not written as it's implied that if there is not written coefficient in from of a variable then the coefficient of the variable is 1 or -1, depending on its sign.
Therefore, dividing -1 on both sides, we get,
x = -221
Hence, the desired answer is -221.
Point J is located at -19. Points K and L are each 8 units away from Point J. Where
are K and L located?
K= L=
So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11
How to find the location of K and L?Givent that Point J is located at -19. Points K and L are each 8 units away from Point J. This implies that the modulus of K - J or modulus of L - J = 18.
So, |K - J| = 8
⇒ K - J = 8 or -(K - J) = 8
Substituting the value of J = -19 into the equation, we have
⇒ K - J = 8 or -(K - J) = 8
⇒ K - (-19) = 8 or -(K - (-19)) = 8
⇒ K + 19 = 8 or (K - (-19)) = -8
⇒ K + 19 = 8 or K + 19 = -8
⇒ K = 8 - 19 or K = -8 - 19
⇒ K = - 11 or K = -27
Also, |L - J| = 8
⇒ L - J = 8 or -(L - J) = 8
Substituting the value of J = -19 into the equation, we have
⇒ L - J = 8 or -(L - J) = 8
⇒ L - (-19) = 8 or -(L - (-19)) = 8
⇒ L + 19 = 8 or (L - (-19)) = -8
⇒ L + 19 = 8 or L + 19 = -8
⇒ L = 8 - 19 or L = -8 - 19
⇒ L = - 11 or L = -27
So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11
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Can anyone help me figure out this question?
