Answer:
In the before the ice the particles would be disorganized while in the after ice drawing the particles should be drawn closer and a bit more organized.
The first section (before ice) shows more thermal energy.
3(2^2x+3)-5(2^x+2)-156=0 in logarithm form
Answer:12x-157-5.2x
Step-by-step explanation:Like this or you want us to solve it lol
The given equation can be written in logarithmic form as xlog(2) + log(3 × 2ˣ - 5) = log(157).
What is Logarithm?Logarithm function is defined as the inverse of the exponential function.
If a^(b) = c, then b = log(c) at the base of a.
Logarithm of any number is always positive.
For negative numbers, the logarithm are complex numbers.
The given equation is \(3(2^{2x}+3)-5(2^{x} + 2)-156 = 0\)
Suppose 2ˣ be t, then the equation can be rewritten as,
3(t² + 3) - 5(t + 2) - 156 = 0
⇒ 3t² - 5t = 157
⇒ t(3t - 5) = 157
Take logarithm both sides to get,
log(t(3t - 5)) = log(157)
Use the property log(ab) = log(a) + log(b) to get,
log(t) + log(3t - 5) = log(157)
Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,
xlog(2) + log(3 × 2ˣ - 5) = log(157)
Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).
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E Question 18/20 < > NEXT DOOKMARK 18 You go out to eat and your bill is $14.76. You want to tip 20%, what will you leave as the tip?
Can someone help me, please? I will give 80 points for answering.
Match the representations that have the same proportional relationship as the situations described.
Answer:
Situation 1:
Situation 2:
Situation 3:
The equivalent proportional relationships in this problem are given as follows:
A, B and E.C and G.D and F.Proportional relationshipsIn a proportional relationship, the output variable y is obtained from the multiplication of the input variable x and the constant of proportionality k, by the rule presented as follows:
y = kx.
Proportional relationships are said to be the same when they have the same constant of proportionality k.
For each relationship in this problem, the constants are given as follows:
Relationship A: k = 6.Relationship B: k = 6 (same as A).Relationship C: k = 5.5Relationship D: k = 35.Relationship E: k = 6 (same as A).Relationship F: k = 35. (same as D).Relationship G: k = 5.5 (same as C).More can be learned about proportional relationships at https://brainly.com/question/10424180
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Two glasses of milk and three snack bars have a total of 72 carbs. and 4 glasses of milk and 2 snack bars have a total of 88 carbs. Determine how many carbs are one glass of mild and one snack bar.
Answer:
one glass of milk = 15 carbs
one bar = 14 carbs
Step-by-step explanation:
let 'm' = one glass of milk
let 'b' = one snack bar
system of equations:
2m + 3b = 72
4m + 2b = 88
I used the elimination method and multiplied the 1st equation by -2
-4m - 6b = -144
+ 4m + 2b = 88
-4b = -56
b = 14
now solve for 'm'
2m + 3(14) = 72
2m + 42 = 72
2m = 30
m = 15
Which of these is the most reasonable estimate for the amount of water that fills a glass? A. 500 L
B. 500 mL
C. 5 L
D. 5 mL
E. 50 L
The width of a standard racquetball court is 6. 1 meters. Convert the width tocentimeters.
Answer: The width of the racquetball court is 6.1 meters we have to convert it into centimeters, the simple method of converting units is to multiply by a conversion factor, which should cancel the old units, the conversion factor for m to cm is:
\(\frac{100cm}{1m}\)Therefore, before we multiply the 6.1m by the conversion factor, we have to first convert it into a fraction:
\(6.1=6\frac{1}{10}=\frac{61}{10}m\)The final step of the answer is as follows:
\(\begin{gathered} \frac{61}{10}m\times\frac{100cm}{1m}=610cm \\ \\ 6.1m=610cm \end{gathered}\)Therefore the answer is 6.1m = 610cm.
teams of four are competing in a quarter-mile relay race. Each runner must run the same exact distance. what is the distance each teammate runs?
9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
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Prepare the Sales Budget assuming: 1. Expected sales volume: 8,000 units for the first quarter, an increase of 20% is expected for the second quarter, a decrease of 10% for the third quarter, and an increase of 25% for the fourth quarter. 2. The sales price should be $75.00 for the first two quarters and $82.50 for the last two quarters.
Prepare the Production Budget assuming: 1. The company believes it can meet future sales needs with an ending inventory of 25% of the next quarter, for the first two quarters, and 35% of the next quarter, for the last two quarters. 2. The expected sales in units for the first quarter of 2021 is 11,000.
Answer:
Sales budget $ for the 4 quarters is $ 600,000 $ 720,000 $594000 and $ 825,000
Production Budget in units for the four quarters i s 7997.6 9000 8900 and 10,350 units
Step-by-step explanation:
Sales Budget
Quarters I II III IV
Sales Volume 8000 9600 7200 10,000
Sales Price $75.00 $75.00 $ 82.50 $82.50
Sales $ 600,000 720,000 594000 825,000
We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.
Production Budget
Quarters I II III IV
Sales Volume 8000 9600 7200 10,000
+ Desired
Ending Inv. 2400 1800 3500 3850
Less Opening ----- 2400 1800 3500
Production 7997.6 9000 8900 10,350
We find the production budget units by adding the desired ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .
Deepak is choosing a password for his phone using letters from the alphabet, A-Z. The password must be four letters long, and he can repeat letters. How many different passwords can he create?
Answer: 26 × 4
Step-by-step explanation: There are 26 letters in the alphabet lettered A through Z.
Deepak is given the choice of picking a four letter password of his liking, using any four letters. Since the letters he uses can be repeated, it is 26 * 4 possibilities, since there are 26 different possibilities of letters from the alphabet he could choose, for 4 times. Also, since letters can be repeated, 26 stays the same. If letters could not be repeated, it would be 26 * 25 * 24 * 23.
Answer:
B. 26⁴
Step-by-step explanation:
If the password is 4 letters long and he can repeat letters then:
1st letter: any one of the 26 letters from the alphabet2nd letter: any one of the 26 letters from the alphabet3rd letter: any one of the 26 letters from the alphabet4th letter: any one of the 26 letters from the alphabetTherefore, to find the total number of passwords he can create, simply multiply the number of permutations for each letter of his password:
⇒ 26 × 26 × 26 × 26 = 26⁴
what is 2.4 times 3. I know how to do this myself but i need to get more points
Answer: 7.2
Step-by-step explanation:
Don't forget to carry over the 1 from ".4 x 3"
BC is the diameter of a circle whose center is the point (2,2) if the coordinates of B are (-1,7) find the length of BC in simplest radical form
The length of the diameter, BC, in simplest radical form is √(10)/2
Calculating the length of a diameterFrom the question, we are to calculate the length of BC in the simplest radical form
To find the length of BC, we first need to find the coordinates of point C. Since B is located on the circle with center (2, 2) and diameter BC, we know that the midpoint of segment BC is the center of the circle.
The midpoint of segment BC is given by the coordinates:
((2 + (-1))/2, (2 + 7)/2) = (1/2, 9/2)
Since the midpoint of segment BC is the center of the circle, we can use the distance formula to find the length of BC.
The distance formula is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Where (x₁, y₁) and (x₂, y₂) are the coordinates of two points
and d is the distance between them.
Substituting the coordinates of B (-1, 7) and the midpoint of BC (1/2, 9/2) into the distance formula, we get:
d = √((1/2 - (-1))² + (9/2 - 7)^2)
Simplifying the expression, we get:
d = √((3/2)² + (1/2)^2)
d = √(9/4 + 1/4)
d = √(10)/2
Hence, the length of BC is √(10)/2
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Select all the correct answers. If the measure of angle is is , which statements are true? The measure of the reference angle is . The measure of the reference angle is . The measure of the reference angle is . cos(0)=-3/10
The measure of angle is θ cannot determine the statements that are true about its reference angle.
There are two issues with the given statement.
First, it does not specify the measure of angle θ.
Second, the statement cos(0)=-3/10 is not related to the reference angle of θ.
The reference angle of θ is the acute angle between the terminal side of θ and the x-axis.
It is always positive and its measure is between 0 and 90 degrees or between 0 and π/2 radians.
The measure of the reference angle of θ is denoted by θ'.
To determine the reference angle of θ, we need to know the quadrant in which θ lies.
The reference angle of θ in standard position is the acute angle between the terminal side of θ and the x-axis.
If θ is in the first quadrant, then θ' = θ.
If θ is in the second quadrant, then θ' = π - θ.
If θ is in the third quadrant, then θ' = θ - π.
If θ is in the fourth quadrant, then θ' = 2π - θ.
The measure of angle θ, we can determine its reference angle using the above rules.
The statement cos(0)=-3/10 is not related to the reference angle of θ.
It is the value of the cosine function at 0 radians or 0 degrees.
This value does not correspond to any angle that has a reference angle.
The measure of angle θ cannot determine the statements that are true about its reference angle.
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Solve for x 15+5x=20x
Answer:
Step-by-step explanation:
15+5x=20x
-5x -5x => Subtract 5x from each side
You get
15 = 15x
Divide both sides by 15
1=x
7<2x+3<=13 write solution in interval notation
Answer:
2<x<_5
Step-by-step explanation:
Kelsey used the similarity statement rst and rub to describe the triangles below
Answer:
what and hi i also need help
Step-by-step explanation:
Answer:
we need a picture then I can help
Joyce saved $220 on an item that was 75% off what was the original price
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)
Which would most likely be graphed using a continuous graph? Check all that apply.
The items that would most likely be graphed using a continuous graph are:
total cost, c, of buying g pounds of broccoli.speed of a car, s, as it accelerates over time, t.total distance, d, that has been driven over time, tdecrease in outside temperature, F, one evening over time, t.What are explanation for the items?1. Total cost, c, of buying b cans of beans:
Cans of beans is the input, and the number of cans is a countable number, that is, 0, 1, 2, ..., so a discrete graph is used, and the option is not checked.2. Total cost, c, of buying g pounds of broccoli
Pounds can assume decimal values, so it is a continuous variable, and a continuous graph is used, and this option is checked.3. Speed of a car, s, as it accelerates over time, t:
Total distance, d, that has been driven over time, t
Decrease in outside temperature, F, one evening over time, t
Time can assume decimal values, like 0.5 seconds, 0.5 hours, so it is a continuous variable, and a continuous graph is used, and these options is checked.4. Number of stamps, s, needed to mail p postcards
The number of postcards is the input, and the number of postcards is a countable number, that is, 0, 1, 2, ..., so a discrete graph is used, and the option is not checked.Missing options "- total cost, c, of buying b cans of beans
- total cost, c, of buying g pounds of broccoli
- speed of a car, s, as it accelerates over time, t
- number of stamps, s, needed to mail p postcards
- total distance, d, that has been driven over time, t
- decrease in outside temperature, F, one evening over time, t
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There are three novels on Sam's reading table: Light, Zami, and Money.
. On his next trip, he can choose to take some, none, or all of these novels. In the braces below, list all the possible sets of novels that Sam can take.
Write each set in your list in roster form. If there is more than one set in your list, separate them with commas. If you need the empty set in your list, use the symbol Ø.
The subsets of the set of novels is given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
How to find the subsets of a set?Suppose we have a set with cardinality n, that is, with n elements. This set will have 2^n subsets, which are all the possible combinations with the elements of the set, including the empty set.
In this problem, the novels are given as follows:
Light, Zami, and Money.
Hence the possible subsets are given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
With is the list that is asked for this problem, which are the subsets of the set of novels.
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How do you solve 19/24=-5/6x-1/4 step by step, with verification?
Answer:
−1.25 or -5/4
Step-by-step explanation:
Equation
19/24 = -5/6x - 1/4
first swap sides so that all variable terms are on the left hand side
-5/6x - 1/4 = 19/24
add 1/4 to both sides.
-5/6x = 19/24 + 1/4
Least common multiple of 24 and 4 is 24. Convert 19/24 and 1/4 to fractions with a denominator of 24.
-5/6x = 19/24 + 6/24
Since 19/24 and 6/24 have the same denominator, add them by adding their numerators.
-5/6x = 19+6/24
Add 19 and 6 to get 25
-5/6x = 25/24
Multiply both sides by -6/5, the reciprocal of -5/6
x = 25/24 (-6/5)
Multiply 25/24 times -6/5 by multiplying numerator times numerator and denominator times denominator.
x = 25(-6) / 24x5
Do the multiplications in the fraction 25(-6) / 24x5
x = -150/120
Reduce the fraction -150/120 to the lowest terms by extracting and canceling out 30
x = -5/4
With verification
First write the equation and our value for x
19/24 = -5/6x - 1/4
x = -5/4
swap sides so that all variable terms are on the left hand side
-5/6x - 1/4 = 19/24
convert -5/6x to have the same denominator of 19/24.
-5 (4)
-6 (4)
== -20/24x
write the full equation with the converted variable
-20/24x - 1/4 = 19/24
Convert 1/4 to have the same denominator of 19/24
1 (6)
4 (6)
== 6/24
write the full equation with the converted variable and retain the minus sign
-20/24x - 6/24 = 19/24
write our value of X
-5/4
convert x to have the same denominator of -20/24x
-5(6)
-4(6)
= -30/24
x = -30/24
replace x in -20/24x with our updated value of x
-20/24(-30/24)
Multiply -20/24 by -30/24
= 25/24
write the full equation
25/24 - 6/24 = 19/24
subtract 25/24 by 6/24
19/24 = 19/24
the fraction 19/24 is equal to 19/24
verification complete
Chris bought a pizza that was cut into 8 slices. He saw olives on 2 of the slices. If he chooses a slice at random, what is the probability that he gets a slice without olives?
2/8
If you are thinkinking logically, however, it's 50/50 since it's either you get them or not
Answer:he has a 75% chance of getting a piece without olives
Step-by-step explanation:
For a segment of a radio show, a disc jockey can play 6 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?
There would be 210 Different combinations of 6 records that could be played out of the 10 available records.
The number of ways the program for this radio show segment can be arranged, we need to use the formula for permutations, which is:nPr = n! / (n - r)!
where n is the total number of items to choose from and r is the number of items to be selected.
In this case, the disc jockey can play 6 records out of a total of 10. So, we can plug in n = 10 and r = 6 into the formula and calculate the number of permutations:
10P6 = 10! / (10 - 6)!
= 10! / 4!
= (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (4 x 3 x 2 x 1)
= (10 x 9 x 8 x 7 x 6 x 5)
= 151,200
Therefore, there are 151,200 ways that the program for this radio show segment can be arranged from the 10 available records.
It's important to note that the order in which the records are played matters, so this is a case of permutations rather than combinations. If the order didn't matter and we were simply selecting 6 records out of 10, we would use the formula for combinations instead:
nCr = n! / (r! * (n - r)!)
In this case, we would have:
10C6 = 10! / (6! * (10 - 6)!)
= 10! / (6! * 4!)
= (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)
= 210
Therefore, there would be 210 different combinations of 6 records that could be played out of the 10 available records.
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WHAT IS THIS?: Evaluate 4+ (m - n)^4 when m = 7 and n =5.
Evaluation of 4+ (m - n)^4 when m = 7 and n =5 is -108
What is Foil method?To combine binomials, utilize the FOIL Method.
An abbreviation is F O I L. First, Outside, Inside, and Last are represented by the letters, denoting the sequence of multiplying terms. For your solution, multiply the first word, an outside term, the inside term, the very last term, and then join like terms.
FOIL specifies the specific terms to multiply and their order.
First - multiply the first terms
Outside - multiply the outside/outer terms
Inside - multiply the inside/inner terms
Last - multiply the last terms
Given;
4+ (m - n)^4
m=7, n=5
Now, the binomial formula of (m - n)^4 by foil method
=m^4-4m^3n+6m^2n^2-4mn^3+n^4
=2401-4(343)(5)+6(49)(25)-4(7)(125)+500
=2401-6860+7350-3500+500
=-109
Therefore, the value of expression by foil method will be -109
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A car rental agency advertised renting a luxury, full-size car for $19.95 per day and $0.29 per mile. If you rent this car for 3 days, how many whole miles can you drive if you only have $200 to spend.
The first thing we have to do is identify the values of the problem and express them in terms of an equation:
• 1 day of luxury car rental is worth $ 19.95
,• 1 mile traveled in the car costs $ 0.29
\(RentCar=19.95\cdot d+0.29\cdot m\)Where d is the rent days and m is the miles that the car can drive.
If we have $200 and want to rent the car for 3 days, we have to solve the ecuation for m:
\(\begin{gathered} m=\frac{RentCar-19.95\cdot d}{0.29} \\ RentCar=200 \\ d=3 \\ m=\frac{200-19.95\cdot(3)}{0.29} \\ m=\frac{140.15}{0.29} \\ m=483.27\text{ miles} \end{gathered}\)The car can only travel 483.27 miles with the $ 200
Which of the following statements are true?
According to the given graph the correct option that justify it to follow horizontal asymptote concept is option A, C and D.
Define graph property:
In mathematics, a graph is a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used to represent mathematical relationships between objects, data, or concepts. They are a fundamental tool in many fields, including computer science, economics, engineering, social sciences, and more.
Graphs can be represented in a variety of ways, such as a drawing on a piece of paper or a computer screen, or as a mathematical abstraction. Graphs can be directed or undirected, weighted or unweighted, simple or multigraphs, and can have various structures, such as trees, cycles, or complete graphs. They are often used to model networks, such as transportation systems, social networks, or the internet.
What about asymptote?
In mathematics, an asymptote is a straight or curved line that a curve approaches but never touches. In other words, as the curve moves along the x and/or y axis, it gets closer and closer to the asymptote, but never intersects it. Asymptotes are often found in functions that have horizontal or vertical limits that approach infinity or negative infinity.
There are several types of asymptotes, including horizontal, vertical, and slant asymptotes. A horizontal asymptote is a line that the curve approaches as x tends to infinity or negative infinity. A vertical asymptote is a vertical line that the curve approaches as x approaches a certain value, but does not cross. A slant asymptote is a diagonal line that the curve approaches as x tends to infinity or negative infinity, and the degree of the polynomial in the numerator is one more than the degree of the polynomial in the denominator.
According to the given information:
According to the graph f(x) and g(x) both have a horizontal asymptote so, both graphs are exponential functions and they do not through(0,1)
so, both graphs have been shifted and flipped
Hence, option A, B and D are correct.
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A rectangular fish pond has length 2m more than twice it's width. solve for the length and the width if the area of the pond is 63 meters square.
Given:
The area of the pond, A=63 m^2.
Let l be the length and w be the width of the rectangular pond.
It is given that the pond has length 2m more than twice it's width.
Hence, the expression for the length of the pond is,
\(l=2+2w\text{ ---(1)}\)Now, the area of the rectangular pond can be expressed as,
\(\begin{gathered} A=lw \\ =(2+2w)w \\ =2w+2w^2 \end{gathered}\)Since A=63, we get
\(\begin{gathered} 63=2w+2w^2\text{ } \\ 2w^2+2w-63=0\text{ ---(2)} \end{gathered}\)The above equation is in the form of a quadratic equation given by,
\(ax^2+bx+c=0\text{ ---(3)}\)Comparing equations (2) and (3), we get a=2, b=2, c=-63 and x=w.
Solve equation (2) for w using discriminant method.
\(\begin{gathered} w=\frac{-b\pm\sqrt[\square]{b^2-4ac}}{2a} \\ =\frac{-2\pm\sqrt[]{2^2-4\times2\times(-63)}}{2\times2} \\ =\frac{-2\pm2\sqrt[]{127}}{4} \end{gathered}\)Since width w cannot be negative ,
\(\begin{gathered} w=\frac{-2+2\sqrt[]{127}}{4} \\ =5.13 \end{gathered}\)Put w=5.13 in equation (1).
\(\begin{gathered} l=2+2\times5.13 \\ l=12.26 \end{gathered}\)Therefore, the length of pond is approximately 12.26 m and its width is approximately 5.13 m.
Marta conducts emissions inspections on cars. She finds that 8 % 8%8, percent of the cars fail the inspection. Let X XX be the number of cars Marta inspects until a car fails an inspection. Assume that the results of each inspection are independent. Find the mean and standard deviation of X XX. Round your answers to one decimal place.
There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.
What connection exists between the mean and the standard deviation?First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:
The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.
What is the standard deviation and mean formula?The mean is calculated as follows:
Mean = (all data values added together) / (number of data values)
However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.
The standard deviation equation is as follows:
Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":
No of the size of the data collection, the mean rises by precisely K.
No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.
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Is 89,580,835 divisible by 2
Answer:
No.
Step-by-step explanation:
If it ends in an odd number such as 5 it is clearly not divisible by 2 an even number.
In order to increase customer service, a muffler repair shop claims its mechanics can replace a muffler in 13 minutes. A time management specialist selected six repair jobs and found their mean time to be 12.3 minutes. The standard deviation of the sample was 2.3 minutes. At α=0.05, is there enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes?
There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.
To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:
Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.
Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.
Use the formula to calculate the test statistic,
\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)
where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).
Plugging in the numbers, we get:
t = (12.3 - 13) / (2.3 / √6) = -0.72
Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.
Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.
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A 1-ounce serving of baked potato contains 45.3 calories,and a 1-ounce serving of chicken contains 22.6 calories Estimate to the nearest whole number how many calories are in a meal of 2One-fourth ounces of chicken and a 2One-third ounce baked potato
122 calories
134 calories
136 calories
150 calories
Answer:
Calories in 2 1/4 ounces of chicken = (2.25 oz) x (22.6 cal/oz) = 50.85 calories (rounded to two decimal places)
Calories in 2 1/3 ounces of baked potato = (2.33 oz) x (45.3 cal/oz) = 105.45 calories (rounded to two decimal places)
Now we can add the two values to get the total calorie estimate:
Total calories = 50.85 + 105.45 = 156.3 calories
Rounding to the nearest whole number gives us:
156 calories
Or my calculations are wrong