the Celisius and the Fahrenight temperature scales are relased by the equation c=5/6 (F-32) expresses F in terms of C.
Answer:
F = (9/5)C + 32
Step-by-step explanation:
C = 5/9(F-32) **you wrote the fraction wrong in your question, it's 5/9, not 5/6
C = (5F)/9 - 160/9
C + 160/9 = (5F)/9
9C + 160 = 5F
(9C + 160)/5 = F
F = (9/5)C + 32
Answer: F = (6C/5) + 32
To express F in terms of C, rearrange the equation to isolate 'F'.
Inverse OperationsTo rearrange the equation, we want 'F' to be by itself. To move numbers to the other side, we do the other pair of inverse operation to both sides. This cancels out what we don't need while keeping the left and right sides equal.
Pairs of inverse operations
Multiply ⇔ DivideAdd ⇔ SubtractCalculate[tex]\displaystyle { C = \frac{5}{6}*(F-32) }[/tex] Start with the equation in the question.
[tex]\displaystyle { C = \frac{5*(F-32)}{6} }[/tex] Rewrite. This is the same as the question.
[tex]\displaystyle { 6C = \frac{5*(F-32)}{6}*6 }\\[/tex] Multiply both sides by 6.
[tex]\displaystyle { 6C = 5*(F-32) }[/tex] Cancelled out 6 on the right.
[tex]\\\displaystyle { \frac{6C}{5} = \frac{5*(F-32)}{5} }[/tex] Divide both sides by 5.
[tex]\displaystyle { \frac{6C}{5} = (F-32) }[/tex] Cancelled out 5 on the right.
[tex]\displaystyle { \frac{6C}{5} = F-32 }[/tex] We don't need the brackets if 'F - 32' is alone.
[tex]\displaystyle { \frac{6C}{5}+32 = F-32+32 }[/tex] Add 32 to both sides.
[tex]\displaystyle { \frac{6C}{5}+32 = F }[/tex] Cancelled out 32 on the right.
[tex]\displaystyle { F = \frac{6C}{5}+32 }[/tex] Keep lone variables on the left side.
Therefore, the equation to convert Celsius to Fahrenheit is:
[tex]\displaystyle { F = \frac{6C}{5}+32 }[/tex]
To learn about another problem on isolating variables, check out:
https://brainly.com/question/25141227
1/3 divided by 4=?
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Answer:1/12
Step-by-step explanation:
What Is a Coordinate Plane? Definition, Examples, Facts
A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.
What is a Coordinate Plane?
A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.
Elements of the Coordinate Plane
Quadrants: The two number lines divide the coordinate plane into 4 regions. These regions are called Quadrants. The quadrants are denoted by roman numerals and each of these quadrants have their own properties.
Quadrant I: The upper right Quadrant is the first Quadrant denoted as Quadrant I. In this quadrant, the x-axis and the y-axis both have positive numbers.
Quadrant II: The upper left Quadrant is the second Quadrant denoted as Quadrant II. In this quadrant, the x-axis has its negative numbers and the y-axis has positive numbers.
Quadrant III: The bottom left Quadrant is the third Quadrant denoted as Quadrant III. In this quadrant, both the x-axis and the y-axis have negative numbers.
Quadrant IV: The bottom right Quadrant is the fourth Quadrant denoted as Quadrant IV. In this quadrant, the x-axis has positive numbers and the y-axis has negative numbers.
Fun Facts:1.The coordinate plane was created hundreds of years ago. The system is commonly referred to as the Cartesian coordinate system because French mathematician René Descartes invented it.
2.The points on the x-axis have their y-coordinate 0 so the points on x-axis are represented as (x,0) and similarly the points on y-axis have their x-coordinate 0, so they are represented as (0,y).
To learn more about Coordinate Plane:
https://brainly.com/question/13611766
#SPJ4
Answer:
Definition - The plane containing the "x" axis and "y" axis.
Examples - (4,9), (24,90), etc
Facts - The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin.
Step-by-step explanation:
Assume that all variables are implicit functions of time t. Find the indicated rate. x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3: find dy/dt
The answer to the given question, assuming that all variables are implicit functions of time t, the indicated rate x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3 is dy/dt = 6.
What is implicit function?An implicit function is a function which is defined by an implicit equation, written in terms of both dependent and independent variables. While an explicit function is a function which is represented in terms of an independent variable.
In this case, we have equation:
x^2 + 5y^2 + 2y = 75
We use the chain rule to bridge it:
2x(dx/dt) + 10y(dy/dt) + 2(dy/dt) = 0
Since x = 6; y = -3; and dx/dt = 14, then:
2x(dx/dt) + 10y(dy/dt) + 2(dy/dt) = 0
2*6*14 + 10*(-3)*(dy/dt) + 2*(dy/dt) = 0
168 + (-30)(dy/dt) + 2(dy/dt) = 0
168 - 28(dy/dt) = 0
28(dy/dt) = 168
dy/dt = 6
Hence, the indicated rate x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3 is dy/dt = 6.
Learn more about implicit functions at: https://brainly.com/question/8328980
#SPJ4
An online poll asked: "Do you believe the Loch Ness monster exists?" Among 20,111 responses, 67 % were "yes." Use a 0.05 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond?
a.Identify the null and alternative hypotheses for this test. Choose the correct answer below.
b. Identify the test statistic for this hypothesis test.
c.Identify the P-value for this hypothesis test.
d.Identify the conclusion for this hypothesis test.
a) Null Hypothesis; p = 0.5
Alternative Hypothesis; p < 0.5
b) The test statistic is; z = 48.216
c) The p-value is < 0.00001.
d) The conclusion of the hypotheses is that we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.
How to carry out hypothesis testing?Hypothesis testing is defined as the method used to find the probability of the hypothesis that is to be proved in the future on the basis of the small population sample.
Now, we are told that Among 20,111 responses, 67 % were "yes." Thus;
Sample proportion; p^ = 67%
The population proportion is not given and as such we will use; p = 50% = 0.5
Thus;
Null Hypothesis; p = 0.5
Alternative Hypothesis; p < 0.5
The formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.67 - 0.5)/√(0.5(1 - 0.5)/20111)
z = 48.216
The p-value from online p-value from z-score calculator is;
p-value < 0.00001.
The p-value is less than the significance value and so we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.
Read more about Hypothesis testing at; https://brainly.com/question/15980493
#SPJ1
Let V be a finite-dimensional vector space and let \mathcal{B}=\left\{\alpha_{1}, \dots, \alpha_{n}\right\}B={α 1…,α n } be a basis for V. Let (\quad | \quad)(∣) be an inner product on V. If c_{1}, \dots, c_{n}c 1,…,c nare any n scalars, show that there is exactly one vector \alphaα in V such that \left(\boldsymbol{\alpha} | \boldsymbol{\alpha}_{i}\right)=c_{i}, j=1, \ldots, n(α∣α )=c ij=1,…,n.
Let V be a finite-dimensional vector space and let B ={α 1…,α n } be a basis for V . Let ( | ) be the inner product of V. If c 1,...,c n , are n is a scalar, then show that there exist one vector α∈ V such that (α∣αj)=cj, j=1 ,…,n.
We have given that V is a finite dimensional vector space.
Consider α∈ V defined as
α = α₁β₁ + α₂β₂ + -----+ αₙβₙ where,
β₁ = α₁
β₂= α₂ - (α₁ |β₁)/β₁/β₂ |(β₁)
similarly, __
βⱼ = αⱼ - ( ∑ (αⱼ|βⱼ) / βᵢ|(βᵢ) βᵢ ) , j = 2,n bar
As defined aᵢ, i = 1, j bar
α₁ = c₁/ (β₁ )|β₁
___
α₂ = c₁/ (β₁ )|β₁ - a₁ ( α₂|β₂/β₁|β₂)
proceeding like as we get
_______
αⱼ = 1/β₁|(β₁) (cⱼ - ∑ αⱼ ( αⱼ |βⱼ)
then conider
(α|αⱼ )= ( α₁β₁ + α₂β₂ + -- + αₙβₙ |αⱼ )
= α₁β₁ + α₂β₂ + -- + αₙβₙ |βⱼ ) + ∑ α₁β₁+ α₂β₂ +---+αⱼβᵢ /βᵢβᵢ)
______
(α|αⱼ) =αⱼ(βⱼ |βⱼ) + (cⱼ - ∑ αⱼ ( αⱼ |βⱼ) βⱼ |βⱼ
__ ___
= (cⱼ - ∑ αᵢ ( αⱼ |βᵢ) + ∑αⱼ |βᵢ
(α|αⱼ) = cj, j = 1,n
Hence proved.
To learn more about Vector spaces, refer:
https://brainly.com/question/13258990
#SPJ4
Which is the best description for the shape of the distribution below?
Answer: Unimodal and Right Skewed
Explanation:
When almost all the data is falls to the right of the graph's peak is known as a right skewed histogram.
A left skewed histogram would have almost all the data falling to the left of the graph's peak.
A histogram is described as uniform if every value in a dataset occurs roughly the same number of times. There are usually no peaks and the data set looks similar to a rectangle.
A Symmetric histogram would be symmetrical, both side of the peak of the graph are mirrored/completely identical.
I hope this helps to better understand :)
Jimena purchased $24 worth of crafting supplies. The tax rate in her city is 6.25%. What is the total cost of the crafting supplies?
The total cost of the crafting supplies is $25.5. This can be find using percentage and rate concepts.
What is tax rate and percentage?
A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent , half of it is 50 percent , none of something is 0 percent.
Tax is the money that govt collects based on income, sales and other activities.
A tax rate is the percentage at which an individual or corporation is taxed.
In the given que,
Purchased amount = $24.
Tax rate = 6.25%
Tax paid = 24*(6.25/100)
= $1.5
So, total amount paid = $1.5 + $24
= $25.5
Learn more about tax rate and percentage using link :
https://brainly.com/question/28735352
#SPJ1
The figure below is dilated by a factor of 4/3 centered at the origin. Plot the resulting image.
The geometric figure above has been dilated by a scale factor of 4/3 centered at the origin and plotted in the graph attached below.
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 4/3 centered at the origin as follows:
Coordinate X (-3, -6) → Coordinate X' (-3 × 4/3, -6 × 4/3) = Coordinate A' (-4, -8).
Coordinate Y (3, 3) → Coordinate Y' (3 × 4/3, 3 × 4/3) = Coordinate A' (4, 4).
Coordinate Z (-3, 6) → Coordinate Z' (-3 × 4/3, 6 × 4/3) = Coordinate A' (-4, 8).
Read more on dilation here: brainly.com/question/20482938
#SPJ1
find the unknown size of the angles.
Answer:
y = 57,5°
z = 57,5°
n = 65°
Step-by-step explanation:
Answer:
Your answer is x = 65° , y = 57.5° , z = 57.5°
Step-by-step explanation:
There is a triangle isoscocles so two angles are the same. There is a parallel line where two lines are the same.
<x = 65° and <y° = <z°
so
<x + <y + <z = 180
Plug in angle x.
65° + <y° + <z° = 180°
Subtract 65 to both sides.
<y° + <z° = 180° - 65°
<y° + <z° = 115°
Since <y° = <z° we substitute one of them
<y° + <z° = 115°
<y° + <y° = 115°
Add the <y° together
2y = 115°
Divide 2 to both sides to get y by itself.
<y° = 57.5°
So <y° = <z° = 57.5°
(True or False) the correlation coefficient is based on each observation's values' deviations from the mean for both variables.
The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.
A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.
In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.
To learn more about correlation, refer: brainly.com/question/27842223
#SPJ4
line rs intersects triangle bcd at two points and is parallel to segment dc. triangle b c d is cut by line r s. line r s goes through sides d b and c b. lines d c and r s are parallel. width
This question is related to the properties of similar figures. So, the true statements are
ΔBCD is similar to ΔBSR
BR/RD = BS/SC
BR * SC = RD * BS
Given that, RS is parallel to DC, so
∠BDC = ∠BRS (they are angles on the same side of transversal)
Similarly, we have
∠BCD = ∠BSR (they are angles on the same side of transversal)
∠CBD = ∠CBD (reflexive property)
ΔBCD ~ ΔBSR by Angle Angle Angle rule of congruency
ΔBCD ~ ΔBSR we therefore have,
BC/BS = BD/BR
(BS + SC)/ BS = (BR + RD) /BR
1 + SC/BS = 1 + RD/BR
SC/BS = RD/BR
Taking reciprocal on both sides, we have
BR/RD = BS/SC
From the above proven property, BR/RD = BS/SC
On cross multiplication, we get
BR * SC = RD * BS
To know more about similar triangles:
https://brainly.com/question/29378183
#SPJ4
The population of bears on a nature preserve was 95 last year.This year , the population increased by 20% . what is the new bear population on the preserve
Answer: 19 new bears
Step-by-step explanation: To find the percentage of something, let's recall the formula:
Whole number x part % / 100
So, let's plug in the numbers to the formula:
95 x 20 / 100
95 x 20 = 1900
So, 1900 / 100 = 19; our answer
I hope this helped!
Find the derivative using the Fundamental Theorem of Calculus, part 1, which states that if f(x) is continuous over an interval [a, b], and the function F(X) is defined by F(X) - F'(x) = f(x) over [a, b]. [*re) or, then del tot Additional Materials eBook 4.
then Find the derivative using the Fundamental Theorem of Calculus, part 1, which states that if f(x) is continuous over an interval (a, b), and the function F(x) is defined by F(X) - F'(x) = f(x) over [a, b]. de la intu In(u) du 6.
Evaluate the definite integral using the Fundamental Theorem of Calculus, part 2, which states that iffis continuous over the interval [a, b] and F(x) is any antiderivative of f(x), then Giºrno dx = F(b) – Fla). [x?- ») 3x) dx Х
On solving the question, by the help of, Fundamental Theorem of Calculus, we got answer [tex]3xe^x[/tex]
What is fundamental Theorem of Calculus?A theorem that connects the ideas of differentiating a function from integrating a function is known as the fundamental theorem of calculus. The two processes are inverses of one another, with the exception of a constant number that is dependent on the starting point for computing area.
When asked to compute the derivative of an integral, utilize the calculus fundamental theorem rather than evaluating the integral.
FTOC informs us that:
[tex]\frac{d}{dx} [\int\limits^{3x}_t {3lnt} \, dxt] = 3xe^x[/tex]
(That is, the integral's derivative returns the original function to us.)
We are required to locate:
h'(x) where h(x)= [tex]\int\limits^{3x}_t {3lnt} \, dxt= 3xe^x[/tex]
what we want
[tex]h'(x) = \frac{d}{dx} [\int\limits^{ex}_t {3lnt} \, dxt] = 3xe^x.............................A[/tex]
(Note that the first integral's upper limits are not in the proper format for the FTOC to be applied immediately.) The chain rule and a replacement can be used to alter the definite integral. Let:
[tex]u = e^x = \frac{du}{dx} = e^x[/tex]
Using the chain rule and substituting into the integral [A], we obtain:
[tex]\frac{d}{dx} [\int\limits^{ex}_t {3lnt} \, dxt] =[/tex][tex]\frac{d}{dx} [\int\limits^{u}_t {3lnt} \, dxt] = 3xe^x[/tex]
= [tex]e^x \frac{d}{du} [\int\limits^{ex}_t {3lnt} \, dxt] = 3xe^x[/tex]
now we got answer - [tex]3xe^x[/tex]
To know more about Fundamental Theorem of Calculus visit:
https://brainly.com/question/2293034
#SPJ4
Angles Q and R form a right angle. Angle Q is twice as large as Angle R. What is the measure of Angle Q, in degrees?
The measure of the angle Q in degrees is 90° if angles Q and R form a right angle.
What is meant by right angle?A right angle is defined as an angle that is exactly 90 degrees in geometry and trigonometry. If a ray is positioned so that its terminal is on a line and the angles are also equal, the angles are said to be at right angles. The phrase derives from the Latin angulus rectus, where rectus denotes the upright vertical line that is perpendicular to a horizontal base line.
Perpendicular lines—defined as lines that meet at right angles—and orthogonality—defined as the ability to intersect at right angles—are closely connected and crucial geometrical notions.
Q and R create a right angle given.
Therefore, the angle formed by either Q or R is 90 degrees.
Angle R is doubled by the given angle Q.
From there, Q must have an angle of 90 degrees.
To know more about right angle, visit:
https://brainly.com/question/7116550
#SPJ1
Suppose the value of b is false and the value of x is 0. What is the value of each of the following expressions? a. b && x = = 0 b. b || x = = 0 c. !b && x = = 0 d. !b || x = = 0 e. b && x != 0
Answer:
a. False
b. True
c. True
d. True
e. False
Step-by-step explanation:
You want to know the truth value of various logical expressions when b = False, and x = 0.
And, OrAn And (&&) expression is true if and only if all parts are true. An OR (||) expression is true if any part is true.
When 'b' is false, b&&__ will be false, and !b||__ will be true. This makes (a) and (e) false, and (d) true.
When x = 0, __||x==0 will be true, so (b) is true.
The And (&&) of expression (c) will only be true when both parts are true. For b = False and x = 0, both parts are true, so (c) is true.
{a, b, c, d, e} = {False, True, True, True, False}
Solomon has taken two tests each out of ten. his average score is 18. if the product of his scores is 56. what did he score in each test ?
The scores of both test Solomon took are 14 for the first test and 4 for the second test.
How to calculate the score of bother test?let a represent the first score and b represent the second score.
since the average score is 18, you get (a + b) / 2 = 18
multiply both sides of this equation by 2 to get a + b = 36
the product of her scores is 56 means that a × b = 56.
you have 2 equations that need to be solved simultaneously.
they are a + b = 36 and a × b = 56
solve for a in the second equation to get a = 56 / b.
replace a with 56/ b in the first equation to get 56/ b + b = 18
multiply both sides of this equation by b to get 56 + b^2 = 18b
subtract 14b from both sides of this equation and arrange the terms in descending order of degree to get b^2 - 18b + 56 = 0
Factorise the quadratic equation to get the following:
(b-4 ) ( b - 14) = 0
Solve for b to get b = 4 and b = 14
Therefore, the product of the of the two scores:
= 14×4 = 56. This means that he scored 14 in first test and 4 in the second test.
Learn more about average here:
https://brainly.com/question/24233224
#SPJ1
each term in the following sequence is six more than the previous term what is the value of x+z? x,y,z,7,13
The following list has six more terms than the preceding one. What does x+z equal if it is -10?
What, for instance, does sequence mean?A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit with in sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.
t1=X\st2=y\st3=Z
t4=7\st5=13
common distinction Since d=6, t4=t3+d 7=t3+6 t3=7-6 t3=1=Z
Z=1\st3=t2+d
X + Z= (-11) + 1 X+Z = -10 because 1 = t2+6 t2= 1-6 t2= -5 = y y= -5 t2= t1+d -5= t1+6 t1= -5 -6 t1= -11 =X X = -11
To know more about sequence visit:
https://brainly.com/question/21961097
#SPJ1
Flour is sold in 3-pounds bags.how many pounds are in 7 bags.
Answer: 21
Step-by-step explanation: multiply 7 by 3, which = 21
A family has at most $25 to spend on activities at Fun zones. It cost $10 an hour to use the trampolines and $5 an hour to use the pool. The family can stay less than 4 hours.
a. Write an inequity that represents the cost constraints.
b. Can the family spend 1 hour in the trampoline and 3 hours in the pool? Explains your reasoning
c. Can the family spend 2 hrs on trampoline and 1.5 hours in the pool? Explains your reasoning
d. Can the family spend 1 houron the trampoline and 2 hours in the pool? Explain your reasoning
The family can spend 1 hour on the trampoline and 2 hours in the pool and the inequalities are 10t + 5p ≤ 25 and t + p < 4.
How many hours can the family spend within the budget?
a ) Let the time on the trampolines = t
Let the time in the pool = pThe cost constraints is represented with the system of inequalities by :10t + 5p ≤ 25
The time constraints is represented with the system of inequalities by :t + p < 4
b )No, the family cannot spend 1 hour in the trampoline and 3 hours in the pool.
We can infer that this is the case because the family desires to spend less time together than 4 hours, which is what those periods total to.However, as we can plainly see, the point (1, 3)is not a solution because it is located on the dashed line of one graph.(Refer image for graph )c ) No, the family cannot spend 2 hours in the trampoline and 1.5 hours in the pool.
We are aware that these two periods total less than four hours.But we must compute the cost, which comes out to 27.5 and is higher than the budget.10t + 5p ≤ 25
10(2)+ 5(1.5) = 27.5
d ) Yes, the family can spend 1 hour on the trampoline and 2 hours in the pool.
We are aware that these two periods total less than four hours.We must compute the cost, which comes out to 20 and is lesser than the budget of 25 .The point (1,2)is a solution because it is not located on the dashed line but within the shaded region of the graph (Refer image for graph )10t + 5p ≤ 25
10(1)+ 5(2) = 20
To learn more about inequalities, refer:
https://brainly.com/question/24372553
#SPJ1
pls answer I need reassurance im correct
10 x (4 + (-9)) / ((-5) - (-3))
Answer: Answer would be -65
It should be that?
Select ALL expressions that are equivalent to -40x+100
4(10x+96)
20(-2x+5)
2
10(4x-10)
10(-4x+10)
Answer:
20(-2x+5)
10(-4x+10)
Step-by-step explanation:
20(-2x+5) = -40x+100
10(-4x+10) = -40x+100
You just need to expand the brackets
What is the independent variable in a linear function?; How do the independent and dependent values change in linear functions?; Which function has a constant additive rate of change of?; Which must be true of the data set if a linear function can be used to represent the data?
x is the independent variable in the linear equation ax + by + c = 0
and y is the dependent variable in the linear equation.
Given, an independent variable in a linear function,
we have to define the independent and dependent variables.
Let suppose a linear equation be,
ax + by + c = 0
now, in the above linear equation,
by = -ax - c
y = -(ax + c)/b
So, the value of variable x in the above linear equation, is independent and don't depend on any other variable whereas the value of variable y in the above linear equation, is dependent as it depends on the value of the variable x.
Therefore, x is the independent variable in the linear equation and y is the dependent variable in the linear equation.
The value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.
Hence, the value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.
Learn more about Linear Equations here https://brainly.com/question/25869125
#SPJ4
1. suppose we wish to predict average customer spending. we take a small sample of size 50 and find the sample mean to be $200/mo. with a sample standard deviation of $10/mo. place a 99% confidence interval around the population average spending.
The average customers are spending in the range of ( 196.36 , 203.64) for the given mean and standard deviation.
As given in the question,
Sample size 'n' = 50
Sample mean 'μ ' is equal to 200
Standard deviation 'σ' = 10
z-score for 99% Confidence interval = 2.576
Confidence interval = mean ± z ( σ / √n )
Substitute the values we get,
Confidence Interval = 200 ± 2.576( 10 / √50)
= 200± 2.576 ( 1.414)
= 200 ± 3.642464
Lower bound of the required confidence interval = 200 - 3.642464
= 196.36
Upper bound of the required confidence interval = 200 + 3.642464
= 203.64
Therefore, the average customer is spending between ( 196.36 , 203.64) range from the given mean and standard deviation.
Learn more about standard deviation here
brainly.com/question/23907081
#SPJ4
Evaluate the following expression for x = 8.
2x² +6x+2
Answer:
306
Step-by-step explanation:
HELP!!!!!! 40 POINTS!!!!
Knowing that correlation coefficients have values between -1 and 1 and that the closer the value is to -1 or 1, the stronger the correlation -- which of the following correlation coefficients would represent the strongest correlation?
A. -0.5
B. 0.02
C. -0.97
D. 0.87
The strongest correlation is represented by -0.97. It can be find out using knowledge of correlation coefficients.
What is the correlation coefficient between 1 and -1?
The formula returns a value between 1 and -1 :
where 1 indicates a strong positive relationship and -1 indicates a strong negative relationship.
According to the rule of correlation coefficients , the strongest correlation is considered when the value is closet to either (+1) or (-1).
So, in given options -0.97 is closet to (-1).
Learn more about correlation coefficients using given link :
https://brainly.com/question/3560028
#SPJ1
You planted 60 seeds seeds.80% actually grow. how many seeds grew? To word it another way, what is the amount of seeds that grew if 80% of 60% seeds grew?
Answer:
48
Step-by-step explanation:
0.8 * 60 = 48
Sara is decorating her new game room. She wants to paint the room purple, but she has only red and blue paint. She knows that by combining red and blue she will get purple. In order to make the shade of purple she wanted, she combines three liters of red paint with four liters of blue paint. She realized that she would need a total of 56 liters of purple paint to cover the whole room. She began to make a table to help him think about the problem, but is unsure of what to do next.
Answer:
she needs 24l red and 32l blue paint
Step-by-step explanation:
3:4 ratio with 56 liters of
Can you please help I will mark BRAINLIEST
Answer:
yeah im sorry i have no idea
Step-by-step explanation:
bro im soooooooo sorry
Resources that are available in limited quantities on the earth are called ___________
Resources that are available in limited quantities on the earth are called Exhaustible resources.
The resources which are present in limited amounts are referred to as exhaustible resources. These resources can be consumed and end someday and are also termed non-renewable resources.
Exhaustible natural resources are available in a limited quantity and cannot be replaced within a reasonable period of time and have the risk of being exhausted by human activities. Such Resources take millions of years to form.
Exhaustible resources are usually not environmentally friendly since they are improperly and inefficiently used and are generally very expensive.
Coal, petroleum, and Forests are examples of exhaustible natural resources.
To learn more about non-renewable resources; click here:
https://brainly.com/question/14432353
#SPJ4
