The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535
What is the Probability in Normal Distribution?
We are given;
Sample size; n = 50
Standard deviation; σ = 0.5
Mean; μ = 2
The formula to find the z-score for each sample mean is;
z = (x' - μ)/(σ/√n)
Thus, for x' = 1.8, we have;
z = (1.8 - 2)/(0.5/√50)
z = -2.83
For x' = 2.2, we have;
z = (2.2 - 2)/(0.5/√50)
z = 2.83
Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;
P(-2.83 < Z < 2.83) = 0.99535
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Potatoes are sold at $3.30 per 55 kg bag.
(a) Calculate the cost per kilogram.
(b) How much will 12 kg cost?
Find f ′(x) for f(x) = ln(x^4 + e^(2x)).
[tex]\text{Given that,}\\\\\\f(x) = \ln(x^4 +e^{2x})\\\\\\f'(x) = \dfrac{1}{x^4 + e^{2x}} \left(4x^3+2e^{2x}\right) = \dfrac{2(2x^3+e^{2x})}{x^4 + e^{2x}}~~~~;[\text{Chain rule}]\\\\\\\text{Note:}\\\\\dfrac{d}{dx} \ln x = \dfrac 1x\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} e^{mx} = m e^{mx}[/tex]
After solving the given equation, the value obtained is equal to [tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex].
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given data in the question,
f(x) = ln (x⁴ + e²ˣ)
[tex]f'(x)=\frac{1}{x^4+e^2^x}(4x^3+2e^2^x)[/tex]
Now, use the chain rule,
[tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex]
Also, note some points,
d/dx ln (x) = 1/x
[tex]\frac{d}{dx}x^n=nx^n^-^1[/tex]
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Faith earned $565 last week. She earned the same amount each
day. If she worked 5 days, how much did she earn each day? Draw
models to help you find the quotient.
Answer:
113 each day
Step-by-step explanation: i cant draw it out but just put it into a bubble or something sorry
can someone please explain this question
Help pls pls pls and thank you
Answer:
2 feet: $18
4 feet: $36
5 feet: $45
$81 = 4.5 feet
10 feet = $90
Step-by-step explanation:
2 feet: $18
4 feet: $36
18 + 18
5 feet: $45
18 + 18 + 9
$81 = 4.5 feet
81/18
10 feet = $90
18 + 18 + 18 + 18 + 18
A line with a slope of -8/3
passes through the point (0, 10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form
Answer:
y = - [tex]\frac{8}{3}[/tex] x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{8}{3}[/tex] and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = - [tex]\frac{8}{3}[/tex] x + 10 ← equation of line
What is the equation of a line written in point-slope form that passes through the point (2,-5) and is parallel to the line represented by 3x -2y = -14?
Answer:
y=3/2x-8
Step-by-step explanation:
The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.
Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.
3x-2y=-14
2y=3x+14
divide both sides by 2 to solve for y.
y=(3x+14)/2
y=3/2x+7
slope m =3/2
Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1
y--5=3/2(x-2)
y+5= 3/2x-3
subtract 5 from both sides to solve the equation for y
y=3/2x-8
Which best describes the solution(s) to the equation 5x - 6 - x - 2x + 2?
There is one solution at x =
1
4
O There is one solution at x = 4.
O There is no solution.
There are infinitely many solutions.
The equation had only one solution and the solution to the given equation is 1
Equations are expressions separated by an equality sign
Given the equation expressed as;
5x - 6 = -x - 2x + 2
Collect the like terms:
5x + x + 2x = 2 + 6
Simplifying the result;
8x =8
Divide both sides of the equation by 8 to have:
8x/8 = 8/8
x = 1
Hence the solution to the given equation is 1
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What decimal is equivalent to -3 3/20?
Answer:
3 3/20 is equal to 3.15 in decimal form.
Step-by-step explanation:
Answer:
A. -3.15
Step-by-step explanation:
this isn't much but i really like math xD hope this helps! :) (please pick as brainlyist)
what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER
Answer:
Add 3 to both sides.
Step-by-step explanation:
Add 3 to both sides.
This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.
In other words, evaluate 3/4 x - 3 for x = 5
The left side turns into 3/4 × 5 - 3.
What order of operations would you use now on the left side.
1) Multiply 3/4 by 5
2) Subtract -3
To solve an equation, you do the opposite operations in the opposite order.
Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.
Answer: add 3 to both sides
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
leading coefficient of the polynomial 4x^2−x^6+2x−6
Answer: The leading coefficient is -1.
Step-by-step explanation: Coefficients are the numbers than procede each term with a variable (in this instance, x) in the equation.
[tex]-x^6+4x^2+2x-6\\[/tex]
There are four terms in this equation, which has been reordered in the correct form, which is from the highest term to the lowest term (based on exponent values).
Thus, there are three coefficients in this equation, which, in order, are as follows:
[tex]-1, 4, 2[/tex]
Solve the proportion:
11/10 = 22/x
Answer:
x=20
Step-by-step explanation:
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
77) YES , 78) YES , 79) NO , 80) YES
Step-by-step explanation:
77) 12/4=3 and 18/6=3 so YES
78) 30/6=5 and 40/8=5 so YES
79) 36/25=1.44 and 48/40=1.2 so NO
80) 15/5=3 and 13.8/4.6=3 so YES
1 1/5- 1/3
AS FRACTION
Answer:
-2/15
this should work
Step-by-step explanation:
Answer:
13/15
Step-by-step explanation:
1 1/5 - 1/3 =
= 1 + 1/5 - 1/3
= 5/5 + 1/5 - 1/3
= 6/5 - 1/3
= 18/15 - 5/15
= 13/15
PLS HELPPPPP!!!!!!!!
Answer:
not even bill nye could solve this
How much does Bethany spend in week 4?
(2 pts.) 9.) Find two equivalent expressions to tan 20° using the cotangent function in degrees.
tan (u) = a/b = cot (90° – u)
Let u = 20°
Take it from here.
The equivalent value of the expression is tan20 is a cot(70).
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The area of mathematics is concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle.
Given that the trigonometric expression is tan30. The equivalent expression will be written as,
tan (u) = a/b = cot (90° – u)
tan (20) = cot ( 90 - 20 )
tan 20 = cot 70
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A salesperson rent a car for a work trip. The rental car company charges the salesperson $25 each day and a flat fee of $100 for insurance.
If the salesperson is charged a total of $225 to rent the car for 2 days, which statement is true?
The equation 25% + 100 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
The equation 252 + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
The equation 100:1 + 25 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
O The equation 100.0 + 25
225 can be used to find, and the salesperson rents the car for exactly 5 days.
The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
Let the number of days used to rent the car be zIf the rental car company charges the salesperson $25 each day, the total charges for "z" days will be $25zIf a flat fee of $100 for insurance is added and the salesperson is charged a total of $225 for "z" days, hence the required equation that represents this statement is expressed as:
Rental charges for "z" days + $100 = total charge25z + 100 = 225The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
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Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares
Answer is C
If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.
Answer:
C. net asset value x number of shares
Step-by-step explanation:
edge 2022
Un
número formado por 22 centenas,
515 unidades 1765 décimas, ¿cuantas
milésimas tiene?
Hay cero milésimas en los parámetros dados.
El valor posicional se refiere al valor representado por un dígito en un número sobre la base de su posición en el número.
De los parámetros dados:
22 centenas ⇒ 2200515 unidades ⇒ 5151765 décimas ⇒ 176.5Si sumamos los valores juntos, podremos determinar la cantidad de milésimas que tenemos:
= 2200+515+176.5
= 2891.5
Por tanto, podemos concluir que hay cero milésimas en los parámetros.
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8. The circle centered at Q is a scaled copy of the circle center
at R. (Lesson 3-1)
גן תט
a. Find the scale factor
х
3
R
5
LO512 D
Subo
Orion V Com odnos
shs on
was born and stoclips na
b. Find the value of x.
Q
diale 2020 Dins besipnon ripA
Answer:
scale factor is: 1:4
the value of x is: x=4
Step-by-step explanation:
to find the answer, you do
x= √5² - 3² = √25 - 9 = √16 = 4
a length of top is stretched between the top edge of a building and a stake in the ground the head of the stake is at ground level. the rope also touches a tree that is growing half way between the stake and the building. if the tree is 38 ft tall how tall is the building?
The relationship between the rope, the building, the tree and the ground is an illustration of similar triangles and equivalent ratios.
The building is 76ft tall
The height of the tree is given as:
[tex]Height = 38ft[/tex]
The position of the tree is halfway between the building and the stake.
From the figure, the rope touches the top of the building, and the top of the tree.
This means that: the height of the building is twice the height of the tree.
So, we have:
[tex]Building=2\times 38ft[/tex]
[tex]Building=76ft\\[/tex]
Hence, the building is 76ft tall
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How does (x^3)^3 = x^6 ?
Answer:
It does not, unless [tex]x=0[/tex] or [tex]x=1[/tex]
If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of [tex](x^3)^3=(x^3)(x^3)(x^3)=x^9[/tex]
At this point you're being asked if [tex]x^9=x^6[/tex] and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also [tex]-1[/tex] was a possible candidate, but alas 9 is odd).
Evaluate the expression when c=4. c^4 + 6
Answer:
262
Step-by-step explanation:
4x4x4x4+6
256+6
262
Help Meeeeee again plzzzzzzzzz
Answer:
53
Step-by-step explanation:
pls give me brainlest
Resuelve la siguiente ecuación lineal: 13-4(5x+1)=3(7-5x)-15
.........................
Find the value of x.
Answer:
x= 11°
Step-by-step explanation:
∠BAC= ∠ACD (alt. ∠s, AB//CD)
∠BAC= 33°
∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)
33° +2x= 5x
5x -2x= 33°
3x= 33°
x= 33° ÷3
x= 11°
_____
Alternatively,
∠ACB= 180° -5x (adj. ∠s on a str. line)
∠BCD +∠ABC= 180° (int. ∠s, AB//CD)
∠ACB +∠ACD +2x= 180°
180° -5x +33° +2x= 180°
Minus 180° on both sides:
-5x +2x +33°= 0
5x -2x= 33°
3x= 33°
x= 11°
help plssssssssssssssssss
13/15% of a quantity is equal to what fraction of the quantity?
Answer:
13/15
Step-by-step explanation: