By dividing the integral of the function over the interval by the length of the interval, the average value of a function can be determined.
The height of the rectangle with an area equal to the area under the curve of the function is the average value of the function or its average height. The equation provides a general definition of it. 1(b−a)∫baf(x)dx.
The average, also known as the arithmetic mean, is calculated by adding a group of numbers and then dividing by their count.
The mean() function in R is used to calculate a vector's mean. The function returns the average as a number after taking a vector as its input.
The general typical equation is numerically communicated as Normal = {Sum of Observations} ÷ {Total number of Observations}.
To learn more about average value here
https://brainly.com/question/28123159
#SPJ4
QUESTION 12/15 Which tools would you use to make Chart 1 look like Chart 2? Select all that apply.
The tool that is used to make Chart1 look like Chart2 is data lables .
What are Charts ?
Charts can be defined as graphical way that represents data elements.
the forms of charts are tables and graph .
From the attachment we can see that both the charts are circle graphs .
and the chart2's data label is visible and chart's 1 data label is not visible .
The data label of chart1 needs to be visible for both the chart to look alike .
Therefore , the tool that is used to make both the charts lookalike is data labels .
The given question is incomplete , the complete question is
Which tools would you use to make Chart 1 look like Chart 2 ?
Learn more about Charts here
https://brainly.com/question/26195819
#SPJ4
Maya said farewell to her favorite uncle as he boarded a plane for Paris. That night she dreamed about an airplane that ran into a thunderstorm and crashed into a mountain, killing everyone onboard. When she woke up, she learned that her uncle’s plane had encountered violent turbulence on the way to Paris and that several passengers had been injured on the flight. She concluded that this series of events (E) is very strong evidence that she has the ability to see distant things using only her mind (H).
Maya thinks that E is strong evidence for H. Assuming she has updated properly given her probability assignments, what does this mean about her assignments to P( E | ~H ) and P( E | H )? For each of these values, how might you challenge her assignment? (Don’t focus on P( H ) and P( ~H ).)
The likelihood of this question will be determined as P( E | ~H)=1 - P(E|H).
For independent events the probability P( E | H ) is calculated as:
P( E | H ) = P( E ) * P( E and H)
P( E and H) = P(E) * P(H).
Since the event E has already happened and is obvious, if P(E | H)>P(E | H) then the event E is dependent on the mind of maya, but if P(E | H)>P(E | H) then the event E is not dependent on the mind of maya.
In our situation, P(E | H), which means that the plane crushing is independent of Maya's thoughts, is the probability that will suit this argument.
Since it is illogical to claim that Maya can perceive far-off objects with her mind, the likelihood of this question will be determined as P( E | ~H ) = 1 - P( E | H ).
For independent events the probability P( E | H ) is calculated as
P( E | H ) = P( E ) * P( E and H)
P( E and H) = P(E) * P(H).
To learn more about independent events link is here
brainly.com/question/22881926
#SPJ4
a) ( combining like terms)
Simplify (7a + 10b) − (4a − 6b).
b) Simplify the expression. ( combining like terms)
−5x + 8y + 2x − 3y
c) Solve and graph the inequality x - 4 ≤ -1 (the name of the game is ...)
a) Combining like terms (7a + 10b) − (4a − 6b) = 3a + 16b
b) The Simplify expression −5x + 8y + 2x − 3y the answer is -3x + 5y
c) The inequality x - 4 ≤ -1 Graph is given below.
What do you mean by algebraic expression?
When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.
Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression).
An algebraic expression is composed of various parts.
a) Given expression:
(7a + 10b) - (4a - 6b)
= 7a + 10b - 4a + 6b
On combining like terms we get,
(7a - 4a) + (10b + 6b)
= 3a + 16b
Therefore, (7a + 10b) − (4a − 6b) = 3a + 16b
b) Given expression :
−5x + 8y + 2x − 3y
On combining like terms we get,
-5x + 2x + 8y - 3y
= (-5x + 2x) + (8y - 3y)
= -3x + 5y
therefore, −5x + 8y + 2x − 3y = -3x + 5y
c) Given expression:
x - 4 ≤ -1
⇒ x ≤ -1 + 4
⇒ x ≤ 3
Graph of the function is given below:
To learn more about the algebraic expression from the given link.
https://brainly.com/question/28036476
#SPJ1
A= 25 ft
B = 45 ft
A new arboretum was designed to contain two circular gardens. Garden A has a diameter of 25
ft and Garden B has a diameter of 45 ft.
a.
If the gardener wants to outline the gardens in edging, how many feet will be needed to
outline the smaller garden? (Express as an exact answer in terms of .)
Formula:
The perimeter of smaller circle is 78.5 ft
What is area?
Area is that the amount that expresses the extent of a vicinity on the plane or on a semicircular surface. space|the world|the realm} of a plane region or plane area refers to the world of a form or planate plate, whereas area refers to the world of associate degree open surface or the boundary of a three-dimensional object.
Main Body:
A new arboretum was designed to contain two circular gardens. Garden A has a diameter of 25 ft and Garden B has a diameter of 45 ft.
outline the smaller garden means circumference of the circle.
Perimeter of circle is 2πr.
diameter = 25 ft
radius = 25/2 = 12.5 ft
Radius = 2π *12.5
= 25 π
= 25*3.14
= 78.5 ft
Hence the perimeter of circle is 78.5 ft
to know more perimeter , visit :
https://brainly.com/question/397857
#SPJ1
What numbers have a LCM of 24?; What is the least common multiple of 2 6 and 12?; How do you find the LCM of 2 numbers?; What is the least common multiple of 12?
A LCM is smallest number among all common multiples of the given numbers. LCM of 24 is 2³ × 3
The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers
There are 3 methods to find the least common multiple of two numbers.
LCM by Listing MethodLCM by Prime Factorization MethodLCM using Division MethodAccording to the question,
(a) LCM of 24 : 2³ × 3
(b) LCM of 2 , 6 , 12 : 2 × 2 × 3
(c) To find the LCM of two number use the prime factorization of each number and then the product of the highest powers of the common prime factors will be the LCM of those numbers.
(d) Least common factor of 12 : 2 × 2 × 3
To know more about LCM here
https://brainly.com/question/20739723
#SPJ4
find the length of the hypotenuse of the triangle pictured below. give your answer accurate to at least 2 decimal places.
The length of the hypotenuse of the triangle is √181 cm
Pythagoras theorem states that in the right -angled triangle , the square of the hypotenuse side is equal to the sum of the square of other two sides.
Hypotenuse it the longest side , as it is opposite to the angle 90°
Pythagoras theorem formula :
Let a be the base
b be the perpendicular and c is hypotenuse
So, according to the Pythagoras
c² = a² + b²
According to the question,
We have to find the length of hypotenuse
Given that base = 10
Perpendicular = 9
Let Hypotenuse = x
Using above theorem
=> x² = (10)² + (9)²
=> 100 + 81 = x²
=> c = √181
The length of hypotenuse is √181
I've answered the question in general as the question is incomplete
To know more about Pythagoras theorem here
https://brainly.com/question/343682
#SPJ4
3 5/2 in radical form
The simplest form of the exponent number of 3^(5/2) is √243.
What is exponential form of a number?
To express numbers that are either too large or too tiny, use exponential notation, which raises the number to the power of the appropriate exponent. The exponent's power might either take the positive or negative form.
For instance, we may express the exponential form of 5 × 5 × 5 × 5 as 5⁴, where 5 is the base and 4 is the power. The power here indicates how many times we are multiplying the base by itself.
Given number is 3^(5/2)
The base of the given number is 3 and exponent 5/2.
Apply the formula a^(m/2) = √a^m in the given number:
3^(5/2) = √3⁵
Putting 3⁵ = 243
3^(5/2) = √243.
To learn more about radical form, click on below link:
https://brainly.com/question/16339629
#SPJ1
Need help answer please!
Answer:
The second option/ B
Step-by-step explanation:
6 coins plus 4 coins is 10 coins, and you can’t forget the x amount of pennies.
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $615. Otherwise, you have to pay your friend $37.
Step 2 of 2 :
If this same bet is made 621 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
If this same bet is made 621 times,then we expect to lose of $4514670
Probability
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
The bet is done 621 times then expected value is that we may have a loss of $4514670.if the bet is that is heart comes we will get $615 and lose $37 if not comes.
$615 if hearts come and lose $37 when not comes and bet is made 621 times. Calculate the expected win after 621 times.
There are 578 hearts in the standard deck of cards.
Probability is the chance of happening an event among all the events possible. The formula of calculating probability is as under:
Probability= number of items/ total number of items.
When two cards are chosen at random without replacement then the probability of getting two hearts is 578/52*577/51
=333,506/2652
=125.75
When two cards are chosen at random without replacement then the probability of not getting two hearts is 1-125.75
=124.75
When bet is made only 1 time expected value will be 125.75*615-124.75*37
=77,336.25 - 4,615.75
=-72720.5 means we are expecting to lose $2.05.
When bet is made 762 times then the expected value will be -72720*621= 4514670.
Then the expected value when bet is made 621 times is that we will lose $4514670 .
To learn more about Probability visit:
brainly.com/question/11234923
#SPJ4
Jamie is a salesperson in a jewelry store and earns $150 per week, plus 15% of her weekly sales. If Jamie makes $229.50 in one week, what are her sales for that week
Answer:
her sales would be 56.9
Step-by-step explanation:
Answer:
56.9
Step-by-step explanation:
a(n)___defines the form or protocol of an operation, but not its implementation. group of answer choices a. meta - operation b. inquisitor c. abstract operation
A meta - operation defines any form or protocol for the operation, but doesn't its implementation. Option (a) is correct.
Programmers reverence type of protocols. We think about protocols as some thing given to us from on excessive through the Cerfs, Postels, and Berners-Lees of the world. But the fact is that programmers construct protocols all of the time. Sometimes those are advert hoc and different instances they're constructed with the assist of a metaprotocol. Communication protocols in general, in addition to protection protocols, want a better degree of pliability to deal with evolution.
Many method will increase the extent of code sharing and reuse. I additionally observed that protection protocols are best-suitable for the utility of my framework due to the fact maximum protection protocols proportion a comparable set of capabilities and showcase not unusualplace sequences and styles withinside the manner they operate. Therefore, I proven the framework through making use of it to the implementation of numerous protection protocols: Needham-Schroeder Authentication Protocol, ISAKMP, and SSL.
To learn more about protocol, refer: brainly.com/question/15415755
#SPJ4
Determine whether the following statement is sometimes, always, or
never true.
The range of an even function is (-∞o, max], where max is the
maximum of the function.
It is occasionally accurate to say that the range of an even function is (-∞o, max), where max is the function's maximum.
what is range ?the range of variation that is conceivable or the boundaries between it: pricing for various grades of steel; a variety of designs. a thing's operation or action's reach or extent: accessible to the eye. a projectile's range is how far a weapon can or will shoot it.
here the explanation
We can say that our range is any real number value between -infinity and infinity, or (,), if our range is any real number value. The range is all real numbers, but we can express this more succinctly by using the symbol R.
a position where the value of a function is highest. It is an absolute maximum if the value is larger than or equal to all other function values.
It is occasionally accurate to say that the range of an even function is (-∞o, max), where max is the function's maximum.
To know more about range visit :-
https://brainly.com/question/28135761
#SPJ1
show that cos4(t)+4cos2(t)=8cos^4(t)-3
Explanation:
You want to show cos(4t) +4cos(2t) = 8cos⁴(t).
Double-angle identityUse the cosine double-angle identity:
cos(2t) = cos²(t) -sin²(t) = cos²(t) -(1 -cos²(t)) = 2cos²(t) -1
Then
cos(4t) = 2cos²(2t) -1 = 2(2cos²(t) -1)² -1 = 2(4cos⁴(t) -4cos²(t) +1) -1
= 8cos⁴(t) -8cos²(t) +1
ApplicationSubstituting these expressions into the left side of the identity of interest, we have ...
cos(4t) +4cos(2t) = 8cos⁴(t) -3 . . . . . . . . . . . . . . . . . . identity to prove
(8cos⁴(t) -8cos²(t) +1) +4(2cos²(t) -1) = 8cos⁴(t) -3 . . . substitute
8cos⁴(t) -8cos²(t) +1 +8cos²(t) -4 = 8cos⁴(t) -3 . . . . . eliminate parentheses
8cos⁴(t) -3 = 8cos⁴(t) -3 . . . . . . combine like terms; Q.E.D.
Please Answer with Explanation
Answer:
a.
Step-by-step explanation:
it is not clear what your teacher discussed and wants from you here.
formally, all triangles are similar, as the description says. and the sequence of the vertexes in the "name" does not make any difference in identifying the triangle. this would be only important when identifying a specific angle (the center letter). in other words : a triangle is identified by naming its three corners in any sequence. simply because for the similarity concern you can twist and turn the triangle until it has the same orientation as the other triangle to compare.
so, again, a very strange question from your teacher. many greetings from me.
as explained, formally all 4 statements are correct.
but in order to identify one, it has to be a.
because the sequence of the corners are the same.
in QTS the side QT (the shortest of the 3 sides) is named first. and TS (the longest of the 3 sides) is named last.
in PQT we have the same sequence. PQ is the shortest side first, and QT is the longest side last.
no other answer option has the same sequence on the left and the right side.
but again, this is actually irrelevant for the similarity relation.
e.g. triangle RQS = triangle SQR, they are just twisted and turned images of the same triangle.
Jim Moore opens a new savings account. He deposits $12,000 at 12% compounded semiannually. At the start of the fourth year, Jim deposits an additional $50,000 that is also compounded semiannually at 12%. At the end of six years, the balance in Jim Moore's account is
Multiple Choice
$90,195.20
$93,932.28
$95,072.31
$88,555.42
After six years, Jim Moore's account will have a balance of $69,341 thanks to compound interest.
What is compound interest?Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the given information in the question,
The account in this issue is split up into two distinct investments. The first one is for $12,000 with a 12% compound interest rate over six years. Consequently, the criteria are as follows:
P = $12,000
r = 0.12
t = 6 years.
[tex]A_1(t)=P(1+\frac{r}{n} )^n^t[/tex]
[tex]A_1(6)=12000(1+\frac{0.12}{6} )^(^2^)^(^6^)[/tex]
A₁(6) = $15219.
The value of the second investment, which is $50,000 and is likewise compounded semi-annually at 12%, will be as follows at the conclusion of the fourth year:
[tex]A_2(t)=P(1+\frac{r}{n} )^n^t[/tex]
[tex]A_2(2)=50000(1+\frac{0.12}{6} )^(^2^)^(^2^)[/tex]
A₂(2) = 54122
Hence,
A(6) = A₁(6) + A₂(2)
A(6) = 15219 + 54122
A(6) = $69341
To know more about Compound Interest:
https://brainly.com/question/14295570
#SPJ1
Adrian hopes that his new training methods have improved his batting average. Before starting his new regimen, he was batting 0.250 in a random sample of 52 at bats. For a random sample of 25 at bats since changing his training techniques, his batting average is 0.480. Determine if there is sufficient evidence to say that his batting average has improved at the 0.10 level of significance. Let the results before starting the new regimen be Population 1 and let the results after the training be Population 2.
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0Ha: p1=p2: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2
According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic.
The value of the test statistic is z = 1.65.
The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.
Average of 0.48 in 25 at bats,
Test if there was improvement:
At the null hypothesis :
[tex]H_0 : P_1 - P_2 = 0[/tex]
At the alternative hypothesis:
[tex]H_1 : P_1 - P_2 > 0[/tex]
The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.
Looking at the z-table, z = 1.65 has a p-value of 0.9505.
1 - 0.9505 = 0.0495.
Learn more about the hypothesis here:
https://brainly.com/question/29576929
#SPJ4
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line
with a slope of 5.9. See the figure below.
With 48 gallons of fuel in its tank, the airplane has a weight of 2383.2 pounds. What is the weight of the plane with 77 gallons of fuel in its tank?
Airplane
weight
(in pounds)
2383.2
48
Amount of fuel
(in gallons)
pounds
48
Answer:
To find the weight of the plane with 77 gallons of fuel in its tank, we can use the linear equation for the weight of the plane in terms of the amount of fuel in its tank. The equation has the form:Weight = m * Fuel + bWhere m is the slope of the line, which is 5.9, and b is the y-intercept, which is the weight of the plane when the amount of fuel is 0. We know that the weight of the plane with 48 gallons of fuel is 2383.2 pounds, so we can use this information to solve for b:2383.2 = 5.9 * 48 + b
b = 2383.2 - 5.9 * 48
b = 2383.2 - 280.8
b = 2102.4Now that we have the value of b, we can plug it back into the equation to find the weight of the plane with 77 gallons of fuel:Weight = 5.9 * 77 + 2102.4
Weight = 456.3 + 2102.4
Weight = 2558.7 poundsSo the weight of the plane with 77 gallons of fuel in its tank is 2558.7 pounds.
Step-by-step explanation:
what percent of a dollar is the value of each coin combination
a) A dollar is 40% of four dimes.
b) 8% of a dollar is equal to 1 nickel and 3 cents.
c) A dollar is equal to 135% of 5 quarters and 1 dime.
What is meant by percentage?A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Frequently, the percent symbol (%) or the abbreviation "pct" are used to indicate the percentage. The word "percent" derives from "percent," a contraction of "per centum," which meant per hundred.
1 dime equals 10 cents, as we all know. Thus, 4 dimes equal 40 cents. 4 dimes are consequently 40% of a $1.
We are aware that a nickel costs five cents and a penny one cent. Therefore, 8% of a dollar is equal to 1 nickel and 3 cents.
We are aware that a quarter equals 25 cents and a dime equals 10 cents. 5 quarters and 1 dime are therefore 135% of a dollar.
Therefore,
A dollar is 40% of four dimes.
8% of a dollar is equal to 1 nickel and 3 cents.
A dollar is equal to 135% of 5 quarters and 1 dime.
To know more about percentage, visit:
https://brainly.com/question/16797504
#SPJ1
The complete question is:
"What percentage of a dollar is the value of each coin combination?
a. 4 dimes
b. 1 nickel and 3 pennies
c. 5 quarters and 1 dime"
In 2018, the circulation of a local newspaper was 2,125. In 2019, its circulation was 2,250. In 2020, the circulation was 2,350.a. Find the percent of increase in the newspaper’s circulation from 2018 to 2019 and from 2019 to 2020.
b. Which period had a higher percent of increase, 2018 to 2019, or 2019 to 2020?
Answer:
circulation was 2,250. In 2020, the circulation was 2,350.
Step-by-step explanation:
Factor 9-64u squared
Answer:
(3 + 8u)(3 - 8u)
Step-by-step explanation:
Conjugated binomials
[tex](9-64u^{2} ) =(3+8u)(3-8u)[/tex]
Hope this helps
question 1.
Gerald purchased 55 paving stones to use in his garden. The graph shows points representing the number of stones left to place at several different times while Gerald is working.
Select from the drop-down menus to complete the equation, in standard form, that represents the relationship between the number of paving stones left to place, y, and the time, x, Gerald has spent working.
The linear equation representing the relationship between the number of paving stones left for Gerald to place, y, and the time, x, Gerald has spent working is 5x + y = 55.
What is the linear equation?A linear equation is always in the form of y = ax + b, where a is the slope and b is the y-intercept.
The slope, a, is given as (y2 - y1)/(x2 - x1).
Data Points:(0, 55), (3, 40), and (7, 20)
Taking (3, 40) and (7, 20), the slope is determined as follows:
7 - 3 = 4
20 - 40 = -20
-20/4
= -5
In standard form, the linear equation is 5x + y = 55.
Thus, based on the linear equation above, we can conclude that the more time Gerald spends playing with the paving stones, the fewer stones he has to place.
Learn more about linear equations at https://brainly.com/question/1884491
#SPJ1
On July 1, 2021, purchased $11,000 of IBM Corporation bonds at face value. The bonds pay interest twice a year on January 1 and July 1. The annual interest rate is 10%.
the interest will be $1000 IBM corporation bank.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
So simple interest will be = 10000*10*1 /100 = $1000
Hence, the interest will be $1000 IBM corporation bank.
Learn more about simple interest, by the following link
brainly.com/question/20690803
#SPJ1
I need this please help me
Answer:
isnt it 72
Step-by-step explanation:
since it is that kind of triangle
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.
3
14
26
33
Answer:
26
Step-by-step explanation:
In the accompanying diagram, the slope of the ascent of an aircraft is 7/50. Find m
Answer:
∠ x ≈ 8°
Step-by-step explanation:
the tangent of the angle x is equal to the slope m , that is
tanx = m = [tex]\frac{7}{50}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{7}{50}[/tex] ) ≈ 8° ( to the nearest degree )
What are the 5 properties of rhombus and rectangle?
1. Opposite angles are equal in measure.
and
2. Diagonals bisect each other.
3. Any two adjacent angles add up to 180 degrees.
Properties of rhombus:
1. All sides are equal in length.
2. Opposite angles are equal.
3. Diagonals bisect each other at 90°.
4. Diagonals are respective angle bisectors.
5. Any two adjacent angles add up to 180 degrees.
6. The area of the rhombus is a product of the lengths of the 2 diagonals divided by 2.
Properties of rectangle:
1. Opposite sides are equal in length.
2. All the angles are 90°.
3. Diagonals bisect each other.
4. Any two adjacent angles add up to 180 degrees.
Hence, the common properties are
1. Opposite angles are equal in measure.
and
2. Diagonals bisect each other.
3. Any two adjacent angles add up to 180 degrees.
Learn more about rohmbus and rectangle here ;
https://brainly.com/question/96855
#SPJ4
A bullet train travels in 3 and half hours for 320 km. And ordinary train travels 212 km in 8 and half hours. Work out their average speed. I need it now pls be quick
The average speed of the trains are Bullet train = 91.4 km/hr and Ordinary train = 24.9 km/hr
How to determine the average speed of the trains?From the question, we have the following parameters that can be used in our computation:
Bullet train
Distance = 320 km
Time = 3 and half hours = 3.5
Ordinary train
Distance = 212 km
Time = 8 and half hours = 8.5
By definition, the speed of an object is the ratio of the distance moved by the object and the time travelled by the object
Mathematically, this can be represented as
Speed = Distance : Time
Express as fraction
Speed = Distance/Time
So, we have
Bullet train = 320/3.5 = 91.4
Ordinary train = 212/8.5 = 24.9
Hence, the speed of the ordinary train is 24.9 km per hour
Read more about speed at
brainly.com/question/14335655
#SPJ1
If the average of 7 positive integers is 100, find the highest possible value of the largest number.
PLS ANSWER QUICKLY FOR THE SAKE OF THE GOD!!!1
Answer:
Step-by-step explanation:
The article also reported that for a sample of 36 individuals who had taken quetiapine, the sample mean cholesterol level change and estimated standard error were 9.06 and 4.256, respectively. Make any necessary assumptions about the distribution of change in cholesterol level, test the hypothesis that the true average cholesterol level increases. Givens: State the appropriate hypotheses. (Use μD = μafter − μbefore.) H0: μD = 0 Ha: μD > 0 t value= 2.1 or 2.128759398 unrounded p value=? Identify the significance levels at which there is sufficient evidence to reject H0. (Choose all that apply.) ? = 0.1 ? = 0.05 ? = 0.01 ? = 0.001 For the sample of 45 individuals who had taken olanzapine, the article reported (7.520, 9.830) as a 95% CI for true average weight gain (kg). What is a 99% CI? (Round your answers to three decimal places.
P-value is equal to 0.0206 and the significance levels at which there is sufficient evidence to reject H0 are at = 0.05 and [tex]\alpha[/tex]=0.1 and value of 99% CI = 7.132, 10.218.
Here we have,
n= 36
e= 9.06
S.E. = 4.256
Hypothesis
H0: μD = 0
Ha: μD > 0
This a right-tailed test
Test statistics,
t = 2.12
P-value at t= 2.12 and degree of freedom(df) = n-1 =36-1 = 35
P-value = t-dist(t, df, tails)
= t-dist(2.12, 35, L)
= 0.020585
= 0.0206 Round to 4 decimals
If pvalue>[tex]\alpha[/tex], then we reject the null hypothesis.
So, [tex]\alpha[/tex]= 0.05 and [tex]\alpha[/tex]=0.1 we reject the H0.
For sample of n=45 df will be= 45 -1 =44
t0.025 = 2.015
Mean weight = (7.520 + 9.830)/2 = 8.675
Margin of error = 9.830 - 8.675 = 1.155
SE = 1.155/2.015 = 0.573
99%tc = 2.692
Margin of error = 2.692 x 0.573 = 1.543
99% CI = 8.675 ± 1.543
= 7.132, 10.218
99% CI = 7.132, 10.218.
To learn more about the null hypothesis visit: https://brainly.com/question/28920252
#SPJ4
The ratio of moose to reindeer is 5 to 4. If
there are 60 moose, how many reindeer are
there?
Answer:
48 reindeer
Step-by-step explanation:
the 5 part of the ratio relates to 60 moose , then
60 ÷ 5 = 12 ← value of 1 part of the ratio
then
4 × 12 = 48 ← number of reindeer
