The mean and variance of the lengths are 590. 50 and 0. 075 respectively
How to determine the valuesGiven that the lengths are;
590.1, 590. 2, 590. 3, 590. 4, 590. 5, 590. 6, 590. 7 , 590. 8, 590. 9
Mean = sum of terms/ number of terms
Mean = 590.1 + 590. 2 + 590. 3 + 590. 4 + 590. 5 + 590. 6 + 590. 7 + 590. 8 + 590. 9/ 9
Find the sum of the numerator
Mean = 5314. 5/ 9
Mean = 590. 500
Variance = sum of the distances from the mean/ total number - 1
Variance = (590. 1 - 590. 5)² + (590. 2 - 590. 5)² + (590. 3 - 590. 5)² + (590. 4 - 590. 5)² + (590. 5 - 590. 5)² + (590. 6 - 590. 5)² + (590. 7 - 590. 5)² + (590. 8 - 590. 5)² + (590. 9 - 590. 5)² ÷ 9 - 1
Variance = 0. 16 + 0. 09 + 0. 04 + 0. 01 + 0 + 0. 01 + 0. 04 + 0. 09 + 0. 016 ÷8
Variance = 0. 6/ 8
Variance = 0. 075
Thus, the mean and variance of the lengths are 590. 50 and 0. 075 respectively
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100,000 subtract from 63,482.50 equals
63,482.50-100,000=63,382.50
Please help meeee! Find all parts. SHOW YOUR WORK
The unknown angles are as follows:
x = 29z = 13∠RIG = 59°∠ZIM = 149°How to find angles when line intersect?∠AIM is perpendicular to IR.
Therefore,
∠RIM = 90°
Line AM, ZG and RI intersect at point I.
Therefore,
3x - 56 = x + 2 (vertically opposite angles)
3x - x = 2 + 56
2x = 58
x = 58 / 2
x = 29
4z + 7 + x + 2 = 90
4z + 7 + 29 + 2 = 90
4z = 90 - 7 - 2 - 29
4z = 52
z = 52 / 4
z = 13
∠RIG = 4z + 7
∠RIG = 4(13) + 7
∠RIG = 52 + 7
∠RIG = 59°
∠ZIM = 4z + 7 + 90
∠ZIM = 4(13) + 7 + 90
∠ZIM = 52 + 7 + 90
∠ZIM = 59 + 90
∠ZIM = 149 degrees
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Take the square root of both sides to get the solution
The equation is: (x - 8)^2 = -8
Here is a picture of what I mean.
(I need an answer fast.)
The solution to the given equation is 8±2√2 i
Solving rational equationsAn algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations
Given the equation below
(x - 8)^2 = -8
Take the square root of both sides to have:
√(x-8)^2 = √-8
x-8 = ±√-8
x-8=±2√2 i
x = 8±2√2 i
Hence the solution to the given equation is 8±2√2 i
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what is the measure of the smaller angle between the hands of a $12$-hour clock at $12:25$ pm, in degrees?
The smaller angle made by the hour hands of a clock at a given time is 137°30'. It is attained by using the concept of clocks on the problems.
What is a clock?
A clock is a device which is used for measuring and indicating the time. It has three hands, namely an hour hand, a minute hand and a second hand. A clock can be classified in two ways, one is a 12-hour clock and the other is a 24-hour clock.
Calculation of the smaller angle made by the hour hand
For minute hand,
60 min makes an angle 360°
1 min = 6°
25 min = 6° × 25
= 150°
For hour hand,
12 hours makes an angle 360°
1 hour = 30°
1 min = 30° / 60
= 1/2°
25 min = 1/2° × 25
= 12°30'
The smaller angle made by hour hand is given by 150° - 12°30'
=137°30'
Hence, the smaller angle between the hour hands is 137°30'.
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what is the approximent distance between the points (1, -2) and (-9, 3) on a coordinate grid
Using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
How to Find the Distance of Two Points?To find the distance of two points on a coordinate grid, the distance formula that is employed is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the points are on a coordinate grid:
(1, -2) = (x1, y1)
(-9, 3) = (x2, y2)
Plug in the values into the distance formula:
d = √[(−9−1)² + (3−(−2))²]
d = √[(−10)² + (5)²]
d = √(100 + 25)
d = √125
d = 11.18034
d ≈ 11 units.
Therefore, using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
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please help me it is due today
Answer: 6
Step-by-step explanation:
What is 4 divided by 3?
Answer:
la respuesta de esta división es
1.333333>
write a phrase as an expression of 22 and a number a
Write the phrase as an expression the quotient of 22 and a number [tex]a[/tex].The quotient of 22 and [tex]a[/tex] number = 22/[tex]a[/tex]
Given that
number = 22
quotient = [tex]a[/tex]
To find
The mathematical equation or relation between quotient of 22 and a number [tex]a[/tex].
So according the question
We have
quotient = 22
divisor = [tex]a[/tex]
For finding the relation between given quotient and divisor, let's firstly know about Dividend, Divisor, Quotient and Remainder,
In Mathematics, the dividend is the value that is divided by another value to get the result. The dividend is the base of any division method.
An integer that divides another integer to obtain a result is called a divisor. The result of this division, or quotient, is the dividend, which is the original number that was divided.
Quotient = Dividend ÷ Divisor
When we divide one number by another, the result is a quotient. As an illustration, when we divide 6 by 3, we obtain the answer 2, which is the quotient. A decimal or an integer can both be used as the quotient. When dividing exactly, as when 10 ÷5 = 2, the quotient is an integer, whereas when dividing roughly, as when 12÷ 5 = 2.4, the quotient is a decimal. Although a quotient can be greater than the divisor, it will never be greater than the dividend.
The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). This value is called the remainder.
Now, from question
We have a quotient of 22 that is [tex]a[/tex].
So, 22 fully divided by [tex]a[/tex].
In mathematical form,
= 22/[tex]a[/tex]
The quotient of 22 and [tex]a[/tex] number = 22/[tex]a[/tex]
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Solve for the value of p.
(6p+3) (9p-3)°
Answer:
p = 12
Step-by-step explanation:
Angles in a straight line sum to 180 degrees. Given the two algebraic angles, this can be expressed as follows:
(6p + 3) + (9p - 3) = 180
Take out the brackets:
6p + 3 + 9p - 3 = 180
Combine the like terms:
15p = 180
Divide both sides by 15:
p = 180/15
Simplify:
p = 12
If you want to verify the answer is correct, substitute it back into the original equation:
(6(12) + 3) + (9(12) - 3) = 180
The length of a rectangle is thirteen less than two and a half
times its width. The perimeter of the rectangle is 100 feet.
The area of the rectangle is 576.
An area is the total amount of space enclosed by a shape or figures. In this case, the rectangle would be the shape or figure that is being defined and its area would be the total amount of space enclosed by it.
The length of the rectangle is 13 less than 2 and a half times its width means : L=2 [tex]\frac{1}{2}[/tex] w-13
Using the perimeter formula of the rectangle P= 2(L-W) we have
P=100
So
100=2(2( [tex]\frac{1}{2}[/tex])w-13+w)
Solve for W:
100= 2×[tex]\frac{5}{2}[/tex]w-26+2w
100=10/2w-26+2w
100=5w-26+2w
100=7w-26
100+26=7w
126=7w
126/7=w
W=18
We can find the length L=2 [tex]\frac{1}{2}[/tex]w-13 = [tex]\frac{5}{2}[/tex](18) -13
=45-13
L= 32
Area of the rectangle is A= L×W= 32×18=576
Hence, the area of rectangle is 576.
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The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that all three of the coins will be heads? The theoretical probability?
The experimental probability that all three of the coins will be head is 1 / 10.
The theoretical probability that all three of the coins will be head is 1/8.
What are the probabilities?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times all heads is gotten / total number of tosses
5/50 = 1/10
Theoretical probability = number of times all heads can be gotten / total number of possible outcomes
1/8
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Fwam is going to an amusement park. The price of admission into the park is $10,
and once he is inside the park, he will have to pay $3 for every ride he rides on. How
much money would Fwam have to pay in total if he goes on 14 rides? How much
would he have to pay if he goes on r rides?
Cost with 14 rides:
Cost with r rides:
Submit Answer
attempt 1 out of 2
Find the coordinates of the midpoint of a segment with the given endpoints. Then find the distance between the following pair of points. (Lesson 1-3)
P(26,12) and Q(8,42)
The coordinates of the midpoint is M(x, y) = (17, 27) and its length is 6√34 units.
How to find the coordinates of the midpoint of a line segment
In this problem we have the coordinates of two endpoints of a line segment, of which we must find the location of its midpoint by using the midpoint formula, whose vector form shall be used. Later, we determine the length of the line segment by calculating the vector behind the line segment and its magnitude.
If we know that P(x, y) = (26, 12) and Q(x, y) = (8, 42), then the location of its midpoint and its length are, respectively:
Midpoint
M(x, y) = 0.5 · P(x, y) + 0.5 · Q(x, y)
M(x, y) = 0.5 · (26, 12) + 0.5 · (8, 42)
M(x, y) = (13, 6) + (4, 21)
M(x, y) = (17, 27)
Length
PQ = (8, 42) - (26, 12)
PQ = (- 18, 30)
PQ = √[(- 18)² + 30²]
PQ = 6√34
The coordinates of the midpoint is M(x, y) = (17, 27) and its length is 6√34 units.
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Solve equation.
a-7=9
To solve the equation, add 7 to both sides. The solution is a = 16.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction or addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve a-7=9
The variable is a. To isolate a, remove -7 by adding 7 to both sides:
a-7 +7 = 9 +7
a = 16 (solved)
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The 4 inch radius pizza for $3 or the 8 inch radius pizza for $14 what is the better buy
By unitary method we can say that it is better to buy the 4 inch radius pizza for $3.
According to the given question.
The price of 4 inch radius pizza = $3
And, the price of 8 inch radius pizza = $14
As we know that, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Therefore, by unitary method.
Cost of 1inch radius pizza, when the price of 4 inch radius pizza is $3
= 3/4
= $0.75
And the cost of 1 inch radius pizza, when the price of 8 inch radius pizza is $ 14
= 14/8
= $ 1.75
Hence, by unitary method we can say that it is better to buy the 4 inch radius pizza for $3.
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determine whether the statement describes a descriptive or inferential statistic. a survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job.
The given statement describes descriptive statistics.
What is Descriptive statistics?In the count noun sense, a descriptive statistic is a summary statistic that quantitatively describes or summarizes features from a collection of data, whereas descriptive statistics (in the mass noun sense) is the process of using and analyzing those statistics. Descriptive statistics differ from inferential statistics (or inductive statistics) in that they seek to summarize a sample rather than learn about the population that the sample of data is thought to represent. This generally means that, unlike inferential statistics, descriptive statistics are not based on probability theory and are frequently nonparametric statistics. For example, knowing that all of the participants in our example wore blue shoes would be useless.Therefore, the given statement describes descriptive statistics.
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An automobile uses 17 gal of fuel to go 590 mi. how many gallons are required to travel 840 mi? (round your answer to one decimal place.)
Answer:
the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49
An airplain flys and altitide of 30,000 feet to avoid the storm .
A. what integer represents the airplains change to avoid the storm ?
B.what integer represents the airplane s the change in altitude immedeitly after the passing the storm
A. The integer that represents the change of altitude to avoid the storm is 8,000
B. The integer representing the altitude after passing the storm is 30,000
How to illustrate the information?A. We are given that the initial altitude of the plane was 30,000 ft. The plane flew at at altitude of 38,000 feet
Change of altitude = final altitude - initial altitude
Change of altitude = 38,000 - 30,000 = 8,000 ft
Therefore, the integer representing the change of altitude to avoid the storm is 8,000
B. After the storm:
We know that, after the storm, the plane returned to its initial altitude. Given that the initial altitude is 30,000 ft, this would mean that the integer representing the altitude after passing the storm is 30,000
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Mona is purchasing a shirt. the total cost, c, of the shirt will be the price of the shirt, p, increased by 6% of the price of the shirt for sales tax. write an equation that represents the total cost of the shirt?
The equation representing total cost of the shirt is c = 1.06p.
As per the question, we are representing the total cost of the shirt as c and price of the shirt as p.
Calculating sales tax on the shirt -
Sales tax = p × 6%
Converting percentage to fraction and hence decimal form
Sales tax = p× 6/100
Sales tax = 0.06p
Forming the equation now -
Total cost = price of the shirt + sales tax on the shirt
c = p + 0.06p
Performing addition on Right Hand Side of the equation to find the equation representing total cost
c = 1.06p
Therefore, the equation representing the total cost of the shirt is c = 1.06p.
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Matt had 6 books to read. Each book has 11 pages. He has already read 60 pages. How many pages does he have left to read?
5. Susan is selling raffle tickets for $4. She collects a total of
$284. How mary tickets did she sell?
Bro each ticket is 4$. You just divide the money she earned with how much a ticket costs;
284/4 = 71 tickets
can expression be multiplied by a variable
Answer:
yes.
Step-by-step explanation:
if the variable has a number in the problem, yes.
if the variable has no known value, you can't solve it, but you can solve everything else. so yes.
What is the volume, in cubic centimeters, of the cylinder? Round your
answer to the nearest hundredth
12.3 cm
4.5 cm
1
1
cm³
Answer:12.3cm 4.5cm=
≈782.49
Step-by-step explanation:
V=πr2h=π·4.52·12.3≈782.49219
Solve the following equation.
-2(n+7)=15
An experiment was performed to find the average speed of a grasshopper. The average speed has been plotted on the number line as marked by the arrow,
Hi
10 feet/sec
11 feet/sec
What is the speed of the grasshopper in feet per second?
B
33
C
Answer:
10.375ft/s
Step-by-step explanation:
We need to read the number from the plot. The range from 10 to 11 is divided into 8 segments, so each segment is (11-10)/8=0.125
The answer is at 10 + 3 segments, so 10 + 3*0.125 = 10.375
Find the coordinates of the midpoint of a segment with the given endpoints.
J(-11.2,-3.4), K(-5.6,-7.8)
The coordinates of the midpoint of a segment with the given endpoints (-8.4, -5.6)
How to find the coordinates of the midpoint of a segment with the given endpoints?The endpoints are given as
J(-11.2,-3.4), K(-5.6,-7.8)
The coordinates of the midpoint is calculated as
Midpoint = 0.5(x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5(-11.2 - 5.6, -3.4 - 7.8)
This gives
Midpoint = (-8.4, -5.6)
Hence, the coordinates of the midpoint of a segment with the given endpoints (-8.4, -5.6)
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number 4 please!! thank you
Answer: correct
Step-by-step explanation:
yolanda spends 8 2⁄3 hours per month playing soccer. approximately how many hours does she play soccer in a year? (there are twelve months in a year.)
Approximately 1 hour She plays soccer in a year.
What is soccer?Soccer on CBS Sports is various TV programs that have broadcasted soccer matches in the US on CBS, CBS Sports Organization, and Paramount+. These matches are from Global, European, and American contests. Affiliation football, all the more usually known as just football or soccer, is a group activity played between two groups of 11 players who essentially utilize their feet to impel the ball around a rectangular field called a pitch. Soccer, or football as it's known beyond North America, is the most famous game on the planet. Thus, how could it be played, who plays it, and a lot more inquiries are responded to here.
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Convert 50 grains to milligrams (to the nearest tenth).
mg
Answer:
3240milligramsStep-by-step explanation:
multiply the value in grains by the conversion factor '64.798'.
So, 50 grains = 50 × 64.798 = 3239.900 milligrams.
round 3240
The decimal representation of ___________ number neither terminates nor repeats.
The numbers that neither terminate nor repeat are called irrational numbers.
What are irrational numbers?
Any real number that is not rational is called an irrational number. These numbers can not be expressed in the form of p/q, where q is not equal to 0. Sometimes, irrational numbers are also called non-terminating and non-repeating numbers.
Filling the blank with an appropriate term
The decimal representation of ___Irrational__ number neither terminates nor repeats.
Hence, the answer is irrational.
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