Answer:
I believe it's 17 :)
Step-by-step explanation:
5×3= 15 +2 = 17
Find the sum of the first four terms of the geometric series 2 + 1 +....
Answer:
15/4
Step-by-step explanation:
This is a geometric sequence with a common ratio of 1/2. Therefore, the sum of the first four terms of the geometric sequence is 2 + 1 + 1/2 + 1/4 = 15/4.
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours. What is the approximate standard deviation of the sampling distribution of the mean for all samples with n
Answer:
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
Step-by-step explanation:
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.
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours
This means that [tex]\mu = 945, \sigma = 21[/tex].
What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
PLEASE HELP!!! CALCULUS ASSIGNMENT
Answer:
(d) [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0[/tex]Simplify: [tex]\displaystyle y' = 4(3x^3) - 3(5x^2) + 2[/tex]Multiply: [tex]\displaystyle y' = 12x^3 - 15x^2 + 2[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
( d ) 12x³ - 15x² + 2
Step-by-step explanation:
y = 3x⁴ - 5x³ + 2x - 1
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]
multiply 4 × 3.[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]
Multiply 3 × -5[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]
subtract the exponentsy = 12x³ - 15x² + 2⁰
For any term t except 0, t⁰ = 1.y = 12x³ - 15x² + 2 × 1
y = 12x³ - 15x² + 2
Hence, option ( d ) is the correct answer.
(5,-10) and (15,-20). find the equation of this line.
Answer:
y = -x-5
Step-by-step explanation:
slope of the line is =(-20+10) / (15-5) = -10/10 = -1
Now equation of line is y+10=(-1)(x-5)
i.e. y+10= -x +5
i.e y = -x-5
Answer:
y = -x - 5.
Step-by-step explanation:
The slope of the line is (-20-(-10) /(15-5)
= -10/10 = -1.
Now use the point slope form of a straight line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So we have:
y - (-10) = -1(x - 5)
y + 10 = -x + 5
y = -x + 5 - 10
y = -x - 5.
6. Two linear equations are shown in the graph.
*(0.6)
(6,5),
COD).
(6.0)
dat
35344
tett
What are the coordinates of the point where the two lines intersect?
A. (-2, 3)
B. (3, 0)
C.(-3.3)
D. (3, 3)
Mark for review (Will be highlighted on the review page)
Alaviation
Answer:
(3,3)
Step-by-step explanation:
Linear equations of lines are given in the form:
y = mx + b;
where m is the slope of the line, b is the y intercept and x, y are variables.
From the graph, we can see that line 1 passes through (0,6) and (6,0) while line 2 passes through (0, 1) and (6, 5).
The equation of line 1 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-6=\frac{0-6}{6-0} (x-0)\\\\y=-x + 6\ \ \ (1)[/tex]
The equation of line 2 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\frac{5-1}{6-0} (x-0)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]
Solving equation 1 and 2 simultaneously by subtracting equation 1 from 2 gives:
(5/3)x - 5 = 0
(5/3)x = 5
x = 3
Put x = 3 in equation 1:
y = -3 + 6 = 3
Therefore the two lines meet at (3, 3).
A mixed number has a whole number part and a fractional part.
O A. True
O B. False
Answer: True
Step-by-step explanation:
The statement that a mixed number has a whole number part and a fractional part is true.
The mixed number is made up of a whole number, and a proper fraction. A mixed number simply means a number that is between any two whole numbers. Examples of mixed numbers are 4¾, 7½ etc.
Can someone explain why the ans is X=6? Its (x-6)
Answer:
because either x-6=0 or x+1=0
x-6=0
x=0+6
x=6 OR,
x+1=0
x=0-1
x=-1
Step-by-step explanation:
The average domestic economy car gets around 30.9 miles per gallon (MPG) with a standard deviation of 2.88. Suppose domestic manufacturers all vow to increase fuel economy over the next 2 years. If successesful, 2.9 is added to every observation in the dataset. What is the new mean
Answer:
33.8
Step-by-step explanation:
Given that :
Initial Average miles per gallon = 30.9
Uniform value added to each data in the set = 2.9
The mean value of a dataset shifts by the uniform value added to each value in the dataset. This is always true whenever a uniform value is added to values across a dataset irrespective of the number of samples.
Hence
Initial mean. + uniform Value
30.9 + 2.9 = 33.8
Evaluate 3x + y if x = 1.5 and y = 1/2
Step-by-step explanation:
3x + y
3(1.5)+0.5
=5
!!!!!!!!!!
Answer:
5
Step-by-step explanation:
3x + y = ?
3 (1.5) + 1/2 = ?
4.5 First let's convert 4.5 into a fraction
4.5 = [tex]\frac{9}{2}[/tex] Then convert it has a mixed number
[tex]4\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 5
Find the quotient of these complex numbers (6-I) divided by (4+3i)=
Answer:
[tex]\frac{21}{25} -\frac{22}{25} i[/tex]
Step-by-step explanation:
We can start by writing the division as a fraction:
[tex]\frac{6-i}{4+3i}[/tex]
In order to rationalize the denominator, we need to multiply by the conjugate:
[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]
Last Question Plz Help
Answer:
this is good looking nice photo but li can't give you answer of that sorry.
Step-by-step e this https://www.commonlit.org/en/students/student_lesson_activities
Witch property is NOT true of all rhobuses
Answer:
Hide Explanation. All sides of the rhombus are equal. The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are equal.
) As an ice cube melts its surface area is decreasing at a rate of 6cm2/sec. Find the rate at which the length of each side is decreasing at the moment when each side has length 2 cm. [Hint: a cube has 6 sides and each side has area x 2 where x is the side length]
Answer:
The rate of decreasing of the length is 0.25 cm/s.
Step-by-step explanation:
The surface area of the ice cube is:
[tex]A_{ice}=6x^{2}[/tex]
Where x is the side of the cube.
Let's take the derivative of A with respect to "t" to get the rate of change.
[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]
We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.
[tex]6=12(2)\frac{dx}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]
Therefore, the rate of decreasing of the length is 0.25 cm/s.
I hope it helps you!
WILL GIVE U BRAINLIEST
True or False: All obtuse triangles are scalene?
Answer:
False
Step-by-step explanation:
an obtuse triangle maybe isosceles or scalene
In January I saved £10 then double the amount each month. How much would I save in April?
Answer:
$80Step-by-step explanation:
Jan >> Feb >> Mar >> Apr
x2 x2 x2
$10 >> $20 >> $40 >> $80
27
Sara is considering purchasing a certain stock. After doing her research, she determins that there is a 68%
chance of making $3,500 and a 32% of losing $1,800. Find the expected value of this purchase.
1
$2,158
$2,956
$1,804
$3,071
Is this correct. Please let me know thank you
Answer:
Yes it is correct, the amount of flour is 1.5 times larger than eggs needed
Step-by-step explanation:
help? (i mark brainlist if available)
Answer:
X < 120
Step-by-step explanation:
.....................
Answer:
option D
Step-by-step explanation:
X should be less than or equal to $120.00
I need help on this question
Answer:
A
Step-by-step explanation:
(ᗒᗣᗕ)՞“
Plz help me!!...
Answer: 200
Step-by-step explanation:
You see that from Monday to Tuesday they traveled 150 miles. By Wednesday it goes up 25. 150+25 = 175. By Thursday it goes up 25 more miles. 175+25=200.
At a concession stand, seven hot dog(s) and four hamburger(s) cost $15.00; four hot dog(s) and seven hamburger(s) cost $18.00. Find the cost of one hot dog and the cost of one hamburger.
Answer:
hotdog $1, and hamburger $2
Step-by-step explanation:
D-is hot dogs, H-hamburgers
7D +4H = 15
4D +7H = 18
we got 2 equations with 2 unknown so we can solve
7D +4H = 15 multiply by 7
4D +7H = 18 multiply by -4
49D +28H = 105
-16D -28H = -72 add the two equations
33D= 33 so D=$1
go back to the first equation:
7*1 +4H =15 gives us 4H = 15-7; 4H = 8 so H= $2
Michele correctly solved a quadratic equation using the quadratic formula as shown below.
Which could be the equation Michele solved?
A.
B.
C.
D.
Which point is located at (2, -5)?
Answer:
J
Step-by-step explanation:
Go to the right 2 units from the origin (0,0) and then down 5 units
The point at that location is J
0.199999 a fraccion porfavor
Answer:
199999/1000000
Step-by-step explanation:
Pete can type 80 words in the same time that Ralph can type 50 words. If they type at those rates
for an extended period of time, when Ralph has typed 4000 words, how many words has Pete
typed?
Answer:
After the extended period of time, Pete would have typed 6400 words.
Step-by-step explanation:
Given the data in the question;
In the same time;
number typed word of Pete = 80
type word of Ralph = 50
After a period time;
number of typed word of Pete = ?
number of typed word of Ralph = 4000
so, let x represent the number of typed word by Pete after an extended period.
so
80 words = 50 words
x words = 4000 words
we cross multiply
x × 50 = 4000 × 80
x = ( 4000 × 80 ) / 50
x = 320000 / 80
x = 6400
Therefore, After the extended period of time, Pete would have typed 6400 words.
In a large population of adult rabbits, the mean ear length is 4.5 inches with standard deviation 1.25 inches. Suppose 16 rabbits from this population are randomly selected for an experiment. The approximate distribution of the sample mean ear length is:
Answer:
(4.5, 0.3125)
Step-by-step explanation:
given that
The mean is 4.5 inches
the standard deviation is 1.25 inches
and, the sample of 16 rabbits is selected
we need to find out the approximate distribution
so,
= (4.5, 1.25 ÷√16)
= (4.5, 0.3125)
hence, the same is to be considered
What are the equation and slope of the line shown on the grid ?
F y = 6; slope is zero
G x = 6; slope is zero
H y = 6; slope is 6
J x = 6; slope is undefined
Answer:
The answer is J x= 6; slope is undefined
Step-by-step explanation:
iTS undefined because it's a line
The answer is J
The reason the line is unidentified is because it is going straight up and the slope is unable to be determined.
What is the volume of the cone below?
O A. 396pie units 3
O B. 132 units 3
O C. 792pie units3
O D. 264pie units 3
Answer:
D. 264π units³
Step-by-step explanation:
1/3(πr²h)
1/3(π•6²•22)
1/3(π•36•22)
1/3(π•792)
264π
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Answer:
total amount donated when aaron walks n miles = $2 + $3(n-1)
Step-by-step explanation:
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.
total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)
when Aaron walks 8 miles
additional miles = 8 - 1 = 7
23 = 2 + 7x
23 - 2 = 7x
x = 3
additional amount paid is $3
total amount donated when aaron walks n miles = $2 + $3(n-1)
CAN SOMEONE ANSWER THIS?
tan ( 37 ) = x / 12
x = 12 * tan( 37 )