Answer:
a
[tex]E = 0.4850 [/tex]
b
[tex]E = 0.8689[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 108
The sample mean is [tex]\= x = 8.8 \ years[/tex]
The standard deviation is [tex]\sigma = 3.5[/tex]
From the question we are told the confidence level is 85% , hence the level of significance is
[tex]\alpha = (100 - 85 ) \%[/tex]
=> [tex]\alpha = 0.15[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.44 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.44 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.4850 [/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.8689[/tex]
PLEASE HELP ASAPPPPP
Answer:
Quadrant 2
Step-by-step explanation:
What is the slope of the line through (-10, 1) and (0,-4)?
Answer:
m=-1/2
Step-by-step explanation:
m=-4-1/0- -10
m=-1/2
Elena bought 8 tokens for $4.40. At this rate:
How many tokens could she buy with $6.05?
tokens
How much do 19 tokens cost? $
Answer:
11,10.45
Step-by-step explanation:
4.4/8=0.55
6.05/0.55=11
11*0.55=0.45
Answer:
Read below
Step-by-step explanation:
I whole. 5. Elena bought 8 tokens for $4.40. At this rate: Next Page. Unit 3: Unit Rates and Percentages Lesson 10: What Are Percentages?
PLEASE HELP ME WITH THIS!! THANK YOU!!!
An integer is 3 less than 5 times together. If the product of the two integers is 36, then find the integers
Step-by-step explanation:
An integer is 3 less than 5 times another. If the product of the two integers is 36, then the integers are: 3 and 12. Solution: x * (5x 3) 36; 5x2 - 3x = 36; 5x2 -3x 36 = 0; (5x + 12)(x - 3) = 0; x = -12/5 or x =3.
The pair of points (6, y) and (10, -1) lie on a line with a slope of 1/4. What is the value of y?
!!!
Answer quick will mark Brainliest!
30 POINTS!!!!
Determine if y=5/4x +1 and y=5/4x-7 are parallel, perpendicular, or neither
Answer:
they are parallel
Step-by-step explanation:
they have the same slope
The lines represents the parallel line.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y=5/4x +1 and y=5/4x-7
4y= 5x+ 4 and 4y= 5x-7
Now, [tex]a_1[/tex]= 4, [tex]b_1[/tex]= 5, [tex]c_1[/tex]= 4
[tex]a_2[/tex]= 4, [tex]b_2[/tex]= 5, [tex]c_2[/tex]= -7
Now, on comparing the ratio we have
[tex]a_1[/tex]/[tex]a_2[/tex] = [tex]b_1[/tex]/ [tex]b_2[/tex] ≠ [tex]c_1[/tex]/ [tex]c_2[/tex]
Hence, the lines represents the parallel line.
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Solve the equation 11/15 = w - 8/15
What is the slope of the line that passes through (3, 5) and (-2, 6)?
Answer:
0.2
Step-by-step explanation:
θ =
arctan( ΔY ) + 180°
ΔX
= 168.69006752598°
ΔX = -2 – 3 = -5
ΔY = 6 – 5 = 1
Distance (d) = √ΔX2 + ΔY2 = √26 = 5.0990195135928
Equation of the line:
y = -0.2x + 5.6
or
y =
- 1 x
5
+ 28
5
When x=0, y = 5.6
When y=0, x = 28
Answer:
-0.2
Step-by-step explanation:
goodluck:)
Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning. Step Work Reasoning −4.5 + 4.2 + 5.6 − 7.3 Original problem 1 −4.5 + 4.2 + 5.6 + (−7.3) Additive inverse 2 −4.5 + (−7.3) + 4.2 + 5.6 Commutative property 3 [−4.5 + (−7.3)] + (4.2 + 5.6) Associative property 4 −11.8 + 9.8 Simplify 5 −21.6 Simplify (5 points) Step 1: He wrote −7.3 incorrectly as + (−7.3). Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect. Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect. Step 5: He simplified incorrectly. WHICH IS INNCORECCT MARKING RIGHT ANSWER AS BRAINLIEST IF THWY AINT BRAINLYIEST TDAT MEEN THEY SUS WROGN
Answer:
it is the last one ( HE SIMPLYFIED INCORECCT)
Step-by-step explanation:
i took the test
Which expression is equivalent to -6(-2/3+2X)?
Answer:
4-12x
Step-by-step explanation:
-6(-2/3)= 12/3=4
n ecology, a measure of diversity of a species in a certain population is called the diversity index. The diversity index D is defined as the probability that any two organisms selected at random from the population will be from different species. a. If every organism in a population is from the same species, what is the value of the diversity index D
Answer: the value of the diversity index D is Zero (0)
Step-by-step explanation:
Just as the meaning of diversity index is boldly explained in the question, it is the probability that randomly selected organism from a population are from a different species.
Now if the organisms are all from the same species in a population then it is impossible to select two organisms from different species.
That is, we can never select two organisms that are not from the same species.
Hence, we cant fulfil or meet the definition of diversity index .
Therefore in this situation the value of our diversity index D will be exactly zero, D = 0.
What is the right choice?
Answer:
y < - 2x + 1
Step-by-step explanation:
What is it then please
a) because the denominators are the same add the numerators:
1 1/5 + 3 2/5 = 4 3/5
b) rewrite the fractions to have a common denominator:
1/2 = 3/6
1/3 = 2/6
Now subtract:
4 3/6 - 1 2/6 = 3 1/6
Answer:
6/5+30/5
=6/5+6
=36/5
b)9/2+4/3
=26/6
=13/3
Step-by-step explanation:
help please, ive been cutting for a long time and i cant break the habit, no one will give me a straight answer. Ive lived a live full on pain, my cutting is just one of those things. i dont know when im cutting until i see the blood on the floor. I just need some help, hotlines are not an option and counseling is not possible because of my position in the military. anything helps.
Answer:
do you have any people who could make you happy from where you are?
Answer:
I've been through this too.
I know it's hard. I know there are many things that trigger your cutting. I noticed you said you live on your pain. I did too. One way I coped was instead of cutting myself, I would have a rubber band on my self and snap the rubber band to my wrist when I felt like cutting. This helped a lot, and I still do it to this day. Please trust me, when you look back at yourself in the future you won't believe you did that to your beautiful body. Please trust me on this one. <3
Calc BC Problem. No random answers plz
Answer:
Part A)
[tex]f(1)=2, \; f^{-1}(1)=0, \; f^\prime(1)=1.4, \; (f^{-1})^\prime(1)=\frac{10}{7}[/tex]
Part B)
[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]
Step-by-step explanation:
Please refer to the table of values.
Part A)
A. 1)
We want to find f(1).
According to the table, when x=1, f(x)=2.
Hence, f(1)=2.
A. 2)
We want to find f⁻¹(1).
Notice that when x=0, f(x)=1.
So, f(0)=1.
Then by definition of inverses, f⁻¹(1)=0.
A. 3)
We want to find f’(1).
According to the table, when x=1, f’(x)=1.4.
Hence, f’(1)=1.4.
A. 4)
We will need to do some calculus.
Let g(x) equal to f⁻¹(x). Then by the definition of inverses:
[tex]f(g(x))=x[/tex]
Take the derivative of both sides with respect to x. On the left, this will require the chain rule. Therefore:
[tex]f^\prime(g(x))\cdot g^\prime(x)=1[/tex]
Solve for g’(x):
[tex]g^\prime(x)=\frac{1}{f^\prime(g(x))}[/tex]
Substituting back f⁻¹(x) for g(x) yields:
[tex](f^{-1})^\prime(x)=\frac{1}{f^\prime({f^{-1}(x)})}[/tex]
Therefore:
[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime({f^{-1}(1)})}[/tex]
We already determined previously that f⁻¹(1) is 0. Therefore:
[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime(0)}[/tex]
According to the table, f’(0) is 0.7. So:
[tex](f^{-1})^\prime(1)=\frac{1}{0.7}=\frac{10}{7}[/tex]
Hence, (f⁻¹)’(1)=10/7.
Part B)
We want to find the equation of the tangent line of y=f⁻¹(x) at x=4.
First, let’s determine the points. Since f(2)=4, this means that f⁻¹(4)=2.
Hence, our point is (4, 2).
We will now need to find our slope. This will be the derivative at x=4. Therefore:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime({f^{-1}(4)})}[/tex]
We know that f⁻¹(4)=2. So:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}[/tex]
Evaluate:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}=\frac{1}{2.8}=\frac{10}{28}=\frac{5}{14}[/tex]
Now, we can use the point slope form. Our point is (4, 2) and our slope at that point is 5/14.
So:
[tex]y-2=\frac{5}{14}(x-4)[/tex]
Solve for y:
[tex]y-2=\frac{5}{14}x-\frac{20}{14}[/tex]
Adding 2 to both sides yields:
[tex]y=\frac{5}{14}x-\frac{20}{14}+\frac{28}{14}[/tex]
Hence, our equation is:
[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]
A game is played using one die. If the die is rolled and shows 1, the player wins $50. If the die shows any number other than 1, the player wins nothing. Complete parts (a) through (b) below.
a. If there is a charge of $10 to play the game, what is the game's expected value?
The lengths of the sardines received by a certain cannery is normally distributed with mean 4.62 inches and a standard deviation 0.23 inch. What percentage of all these sardines is between 4.35 and 4.85 inches long?
Answer:
5.87
Step-by-step explanation:
easy
Step-by-step explanation:
I'm proud of what u have been doing ! Keep up the good job !!
[tex]\texttt{\color{hotpink}☆･ᴗ･☆smile \: please☆･ᴗ･☆}[/tex]
The image below shows two dilated figures with lines KO and K’O’ drawn. If the larger figure was dilated using a scale factor of 5, what relationship do lines KO and K’O’ have? (10 points)
Two dilated figures are shown. The smaller figure has a line drawn connecting KO and the larger figure has a line drawn connecting K prime O prime.
The relationship between lines KO and K’O’ is given as Line K'O' = 5*line KO
Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.
Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on a line. Hence no reflection
Rotation is keeping the same shape but rotating through a certain angle.
Translation is not right because there is no vertical or horizontal shift to get new triangle.
Dilation is the increase or decrease in size of a figure by a scale factor.
The larger figure was dilated using a scale factor of 5
hence
Line K'O' = 5 * line KO
The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO
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helppp please will give brainliest
Answer:
y = -1/2x + 2
Step-by-step explanation:
Topic: Graphs and Functions
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Help plzzzzzzz will give brainliest
Answer:
7.2
Step-by-step explanation:
Mean is when you add all the numbers together and divide them by the number of values there are in total.
There are 10 numbers, so find the sum of all the numbers and divide by 10.
[tex]\frac{12+8+14+5+1+3+0+8+10+11}{10}[/tex] = 72/10 = 7.2
what is the perimeter of the shape
Answer:that is an s
Step-by-step explanation:
si quema cuh
. Find the quotients.
a) (x2 - 4) =/(x + 2)
c) (4x2 - 1) / (2x + 1)
Answer:
[tex]\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1[/tex]
Step-by-step explanation:
a) (x2 - 4)/(x + 2)
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.
So,
[tex]\frac{x^2-4}{x+2}[/tex]
Using formula, [tex]a^2+b^2 = (a+b)(a-b)[/tex]
[tex]\frac{x^2-4}{x+2}\\= \frac{(x^2)-(2)^2}{x+2}\\=\frac{(x+2)(x-2)}{x+2}\\= x-2[/tex]
b) (4x2 - 1) / (2x + 1)
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.
[tex]\frac{4x^2-1}{2x+1}[/tex]
Using formula, [tex]a^2+b^2 = (a+b)(a-b)[/tex]
[tex]= \frac{(2x)^2-(1)^2}{2x+1}\\=\frac{(2x+1)(2x-1)}{2x+1}\\= 2x-1[/tex]
Hence,
[tex]\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1[/tex]
What is the sign of −4ab when a>0 and b<0?
Answer:
A
Step-by-step explanation:
We have the expression:
[tex]-4ab[/tex]
And we want to find its sign given that a>0 and b<0.
Notice that the expression is already negative since we have -4.
a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.
b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.
Therefore, the sign of our expression will be positive.
We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:
[tex]-4(1)(-1)=4[/tex]
So, the sign is positive.
Hence, the answer is A.
Answer:
The answer is A
Step-by-step explanation:
khan said so
Solve fast answer gets brain and its 30 points ty
Answer:
74
Step-by-step explanation:
Answer:
I need the points, thanks!!!
Step-by-step explanation:
please help asap question four
Answer:
(-5, 17)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Equality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
5x + 3y = 26
-2y = 6x - 4
Step 2: Rewrite systems
5x + 3y = 26
y = 2 - 3x
Step 3: Solve for x
Substitute: 5x + 3(2 - 3x) = 26Distribute 3: 5x + 6 - 9x = 26Combine like terms: -4x + 6 = 26Subtract 6 on both sides: -4x = 20Divide -4 on both sides: x = -5Step 4: Solve for y
Define: -2y = 6x - 4Substitute: -2y = 6(-5) - 4Multiply: -2y = -30 - 4Subtract: -2y = -34Isolate y: y = 17And we have our final answer!
If point C is reflected through the line x=y, what are the coordinates of C?
Answer:
Is there suppose to be a graph?
If not, if the original coordinates were (x,y) the new ones will be (y,x)
Step-by-step explanation:
The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
What is reflection?A reflection is "geometric transformation results in mirror image".
According to the question,
The point C(x, y) is reflected through the line X - Y = 0.
Formula to find new coordinates (x-x₁)/a =(y-y₁)/b= -2(ax₁+by₁+c)/(a² + b²)
The point (x, y) = (x₁, y₁) and from the line a = 1, b = - 1,c = 0.
(x-x₁)/1 = -2(x₁ - y₁)/2
x - x₁ +x₁ -y₁ =0
x = y₁.
similarly we get y = y₁
Hence, The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
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Cameron is buying movie tickets for himself and 3 friends. He spends $32. How much did each ticket cost
Answer: 8
32 divided by 4 equals 8
Step-by-step explanation:
Answer:
$10.67
Step-by-step explanation:
$32 divided by 3 is about $10.67, in it's simplest form.
I hope this helped, please mark Brainliest, thank you!! :)
What is M+12-10? Hurry
Answer:
The answer is M + 2, if thats wat ur asking for.
Step-by-step explanation:
Answer:
M+2
Step-by-step explanation:
M+12-10
Since there are only 12 and -10 that are the same you can add them together to get 2 and that is pretty much what you could do unless you find what M is.
Hope this helps!
30 points!!!
(1 Point)
If f(x) = 2x - 1 and g(x) = x2 + 5, find each value.
f(7).
g(-9)
Answer:
f(7)=13
g(-9)=86
Step-by-step explanation:
f(7)=2*7-1=14-1=13
g(-9)=(-9)^2+5=81+5=86