The name of the metric system prefix are : 10^-6: micro , 1/100: centi , 0.001: milli, 1000: kilo
In mathematical exponents, prefixes are referred to as the alphabetic names related to the mathematical factors, such as 10⁻⁹: it nano ,10⁻¹²: Pico and so on.In order to identify the prefixes of the metric system, we first convert from factor to exponent form.
such :
10^-6 is micro
1/100 = 0.01x 10^2: centi
0.001 = 1x 10 ^-3 : milli
1000 = 1x 10^3 : kilo
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Write the name of the metric system prefix associated with each mathematical factor. Do not use any hyphens in your answers and do not abbreviate the prefixes. Spelling counts.
10^-6 ______________
1/100 ______________
0.001 _____________
1000 ______________
What is the appropriate measure of variation (spread) for these data points? 47234213985132324365 what are q1 and q3 for these data?
The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.
The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.
Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.
For the given data points, Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.
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The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.
The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.
Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.
For the given data points, Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.
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Given last periods forecast of 65, and last periods demand of 62, what is the simple exponential smoothing forecast with an alpha of. 4 for the next period?.
The exponential smoothing forecast for next period is 63.2.
What is exponential smoothing?A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.
Now,
Given:
Last period forecast = 65Last period demand = 62α = 0.4To find: Simple exponential smoothing forecast with α = 0.4 for next period.
Finding:
Now, by the concept of exponential smoothing, forecast for next period will be given by:
Ft + 1 = α Dt + (1 - α)F,
where,
Ft+1 = the next forecast,
α = weighing factor,
Dt = actual value for this period,
F = forecast value for the current period,
Substituting the values in the above expression:
=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62
=> Ft + 1 = 26 + 37.2
=> Ft + 1 = 63.2
Hence the exponential smoothing forecast for next period is 63.2.
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What should be added to -7/12 to get 9/16
Answer:
1/48 should be added.
Step-by-step explanation:
If you add 9/16 to -7/12 you will get -1/48. Then do -7/12 + 1/48 and it will give you 9/16.
Fice card are dealt fom a deck. what is the probability of getting any two distinct face values occuring axactly twice?
The likelihood of any two different face values occurring exactly twice is 0.0475.
Describe probability using an example?
The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.An event's probability grows with its likelihood of happening. Tossing a fair (impartial) coin provides a simple illustration.Two pairs
two pairs = 13C2 *4C2 * 4C2 * 11C1 * 4C1 = 123552
P( two pairs) = 123552/2598960 = 0.0475
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The complete question is -
In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of gettingtwo pairs (any two distinct face values occurring exactly twice)
Solve
each of the following equations. Show its solution set on a number line. Check a
your answers.
|5x |=3
The formula for the area of a trapezoid is given. Solve this equation for h, height. a=H(B1+B2)/2
The solution of the equation for h is H = 2a/(B1 + B2)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to solve the equation for h?The equation is given as
a=H(B1 + B2)/2
The above means that the variable h is represented by the variable H
Multiply both sides of the equation by 2
So, we have
2a = H(B1 + B2)
Divide both sides of the equation by (B1 + B2)
H = 2a/(B1 + B2)
Hence, the solution of the equation for h is H = 2a/(B1 + B2)
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factor the expressions:
1234567890123456789012345678901234567890
If f(x) = 24x + 24, find the instantaneous rate of change of f(x) at x = 6
Answer:
168
Step-by-step explanation:
You'd plug 6 in for x
f(x) = 24x + 24
f(6) = 24(6) + 24
f(6) = 144 + 24
f(6) = 168
Wyatt made a scale drawing of a picnic area near the river. The picnic area, which is 84 yards
long in real life, is 231 inches long in the drawing. What scale did Wyatt use?
11 inches : ? yards
The scale used by Wyatt is; 11 inches : 4 yards.
What is defined by the term scale factor?The Scale Factor is utilised to scale forms in various dimensions. The scale factor is a measurement for figures with similar appearances but distinct scales or measures. Assume two circles appear similar but have different radii.The scale factor specifies how much larger or smaller a figure is than the earlier figure.Now, for the given values in question.
For the area of picnic is 84 yards.= long.
The length in the drawing is 31 inches.
Let the scale for yards is 'x'.
Then;
231 inches: 84 yards = 11 inches: x yards
Write in the fraction form,
231/84= 11/x
Cross multiplying;
x = (11×84)/231
x = 4
Thus, scale becomes; 11 inches : 4 yards.
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During a cake-eating contest, Dave ate three and a half pizza and Daisy
ate two-thirds of a pizza. How many pizzas did they eat altogether?
HELP EXPLAIN STEP BY STEP!
Answer:
4 1/6
Step-by-step explanation:
Dave eats 3 3/6
Daisy eats 4/6
Together they eat 3 1/6
First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.
4 full pizzas plus 1/6 of a pizza
i.e. 4 full pizzas plus one extra slice
======================================================
Explanation:
1/2 = 3/6
2/3 = 4/6
The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6
That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.
This gives the mixed number 4 & 1/6
Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.
The brady family received 31 31 pieces of mail on april 22. the mail consisted of bills, letters, magazines, and ads. how many bills did they receive if they received the same number of bills as magazines, five more ads than letters, and three more letters than magazines?
The number of bills received by brady family are 781.
What is Linear equation in one variable?A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable with the form an x + b = 0 are solved utilizing basic algebraic operations.
Let x equal the number of letters obtained,
(x - 3) equal the number of bills obtained,
(x + 5) equal the number of advertisements received, and also
the number of magazines did receive is also given (x - 3).
The following equation can be derived:
x + (x - 3) + (x + 5) + (x - 3) = 3131
4x - 1 = 3131
4x = 3132
x = 784
Thus, number of bills received are-
(x - 3) = 784 - 3
number of bills received = 781.
Therefore, the number of bills obtained by brady family are 781.
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What values of b satisfy 3(26 + 3)² = 36?
The numeric value of the b is 0.23 which satisfy the given equation.
According to the statement
We have to find that the value of the b.
So, For this purpose, we know that the
The numeric value refers to the worth of each digit depending on where it lies in the number.
From the given information:
The equation is a
3(2b + 3)² = 36
then to find the value of b rearrange the terms then
(2b + 3)² = 12
(2b + 3) = \sqrt{12}
(2b) = \sqrt{12} -3
then
b = \sqrt{12} -3/ 2
b = 3.46 - 3/2
b = 0.46/2
b = 0.23.
So, The numeric value of the b is 0.23 which satisfy the given equation.
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Segment AC has a length of 60. Find the following values.
DG = 60
Therefore,[tex]4x - 3 + 2x + 21 = 60[/tex]
→[tex]6x+18 = 60 \\ 6x = 60 - 18[/tex]
→[tex]6x = 42[/tex]
Divide both sides by 6
→[tex]x = 7[/tex]
DO =[tex]4x - 3 [/tex]
→[tex]4(7) - 3 \\ 28 - 3[/tex]
DO [tex]= 25[/tex]
OG [tex]= 2x + 21[/tex]
→[tex]2(7) + 21 \\ 14 +21[/tex]
OG [tex]= 35[/tex]
Therefore:
[tex]x = 7[/tex]
[tex]DO = 25 ft[/tex]
[tex]OG = 35 ft[/tex]
I hope this helpsAre -345° and 2185° co-terminal?
Answer:
No
Step-by-step explanation:
You want to know if angles -345° and 2185° are coterminal.
Coterminal anglesAngles are co-terminal when their terminal sides are coincident. Each angle will have the same measure modulo 360°.
-345° / 360° = -1 remainder 15°
2185° / 360° = 6 remainder 25°
These angles have different values, modulo 360°, so are not co-terminal.
A loaf of bread 9 in. long is cut into slices 3/8 in. thick.
Answer:
32
Step-by-step explanation:
There is nothing this but the answer is 32.
How much of a(n) 70% orange juice drink must be mixed with 18 gallons of a 30% orange juice drink to obtain a mixture
that is 50% orange juice?
Answer:
18 gallons
Step-by-step explanation:
Start with x gallons of 70% juice and 18 gallons of 30% juice.
Result: x + 18 gallons of 50% juice
0.7x + 0.3 × 18 = (x + 18)(0.5)
0.7x + 5.4 = 0.5x + 9
0.2x = 3.6
x = 18
Answer: 18 gallons
Create a Box and Whisker Plot using the following data: 13, 16,
17, 19, 23, 24, 25, 27, 30, 32, 35. What is the median of the set
of data?
24 is the median number because it is found to be at the Middle of all digits
4a + 2b - 12ax + 15b = -40x - 52. What is a and b
Answer:
a = 10/3 and b = -196/51.
Step-by-step explanation:
4a + 2b - 12ax + 15b = -40x - 52
Equating coefficients of x:
-12ax = -40x
-12a = -40
a = 40/12
= 10/3.
Equating constants:
4a + 2b + 15b = -52
4a + 17b = -52
Substituting a = 10/3:
40/3 + 17b = -52
17b = -52 - 40/3
b = (-52 - 40/3) / 17
= (-156/ 3 - 40/3) / 17
= -196 / 51
mina's explanation: i counted up from 15.75 to 176.3 to find the difference. i underlined each number i added on each line.
160.55 is the difference. i underlined each number i added on each line.
What is an linear equation in math?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The two numbers are 15.75 and 176.3
First we will compare the numbers.
1. A=176.3
2. B=15.75
one's place of A is greater than once place of B.
tens place of A is greater than tens place of B.
Hundred place of A is greater than hundred place of B.
So, A>B
So we will subtract 15.75 from 176.3.
176.30 -15.75=
176.30 ----A
- 1 5.75 ----B
Hundreths place of A - Hundreths place of B = 0-5=10-5=5
Tenth place of A - Tenth place of B =12-7=5
ones place of A - ones place of B=5-5=0
Tens place of A - Tens place of B =7-1=6
So the solution is 160.55
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A school has 360 students, 4/9 of whom are boys. How many of the students are boys? How many are girls?
Answer:
There are 160 boys and 200 girls
Step-by-step explanation:
its a proportion
The functions are defined:
f(x) = -2x
g(x) = 2x + 5
h(x) = x² + 3x-10
Calculate the indicated function values.
ƒ(6²)
The indicated function value is f(6²) = -72
How to calculate the indicated function values?The function definitions are given as
f(x) = -2x
g(x) = 2x+ 5
h(x) = x^2 + 3x - 10
The function f(6²) means that x = 6² in f(x)
So, we have
f(6²) = -2(6²)
Evaluate
f(6²) = -72
Hence, the indicated function value is f(6²) = -72
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use mathematical symbols to write 3 different expressions to represent three groups of five
The different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
How to write different expressions to represent three groups of five?The mathematical statement is given as:
three groups of five
The statement three groups of five means
Three multiplied by 5
i.e. 3 * 5
This can also be written as
5 + 5 + 5
Also, it can be expressed as
3 + 3 + 3 + 3 + 3
Hence, the different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
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Pls help i will give brainly
Answer:
B. y = -1/4x + 2
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other. So slope is -1/4
Using m = -1/4, y =4, x = -8
y = mx + b
4 = -1/4(-8) + b
4 = 2 + b
b = 2
so y = -1/4x + 2
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
We need to remove either (1, 4) or (1, 1) to create a function.
How to alter a relation in order to obtain a function
Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:
x → f(x), x → f'(x) ⇒ f(x) = f'(x)
Based on this definition, there are two possibilities to create a function:
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1,3 is the answer I believe. :)
Write an expression that represents the total owed for 4 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $35?
Answer:
4c + 35
Step-by-step explanation:
What every the monthly amount is (c) you would multiply that by 4 to find the cost for 4 months and then you have to add in the one time cost of 35
Ken alone takes x days to finish a project
Anson alone takes 3 days more than Ken
alone to finish the project. If they together
take 2 days to finish the project, find the
value of x.
You have one box that is 1 3 11 feet tall and a second box that is 1.27 feet tall. Write the decimal expansion for 1 3 11. If you stack the boxes, about how tall will the stack be?
Answer:
Step-by-step explanation:
A polynomial function g(x) has a negative leading coefficient. Certain values of g(x) are given in the following table. x –4 –1 0 1 5 8 12 g(x) 0 –3 –1 –2 0 3 0 If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?
By factor theorem and limits, it is found that the end behavior of g(x) is that it goes to negative infinity.
The values of x and g(x) are
x –4 –1 0 1 5 8 12
g(x) 0 –3 –1 –2 0 3 0
We need to find the end behavior of g(x).
What is Factor theorem?The Factor Theorem states that a function with leading coefficient a and zeros x1,x2,x3...xn is defined by:
g(x)=(x-x1)(x-x2)(x-x3)..(x-xn)
By definition of factor theorem,
g(x)=a(x-(-4))(x-12)
g(x)=a(x+4)(x-12)
g(x)=a(x2-8x-48)
The end behavior is the limit of g(x) as x goes to infinity, thus:
lim[tex]lim \lim_{x \to \infty} g(x)= \lim_{x \to \infty} ax^{2} =a*\infty[/tex]
Since the leading coefficient a is negative:
a*infinity= - infinity
Thus the end behaviour of g(x) it goes to negative infinity.
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the international shark attack file recorded the number of shark attacks between 1837 and 2016 for 8 different u.s. states.
what is the mean number of shark attacks over these states?
4,8, 5, 13,3,4, 1, 10
The mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.
As given,
Number of different states 'n'= 8
Number of sharks attacks for 8 different states
[tex]x_{i}[/tex] = 4, 8,5, 13, 3, 4, 1, 10
Mean = [tex]\frac{\sum x_{i} }{n}[/tex]
= (4+ 8+ 5 + 13 + 3 + 4 + 1 + 10) /8
=48 /8
=6
Therefore, the mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.
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Answer: 16.0 is the correct answer
Step-by-step explanation:
Please help thank youuu
Answer:
f(-7) = -15
g(-3) = 27
Step-by-step explanation:
We see that the functions defined are:
f(x) = 2x - 1
AND
g(x) = 2x^2 - 3x
This problem asks to find f(-7) and g(-3). To find this, we have to plug the respective numbers into the respective functions.
f(-7) = 2 (-7) - 1
f(-7) = - 14 - 1
f(-7) = -15
g(-3) = 2(-3^2) - 3(-3)
g(-3) = 2(9) + 9
g(-3) = 18+9
g(-3) = 27
FINAL ANSWER: f(-7) = -15, g(-3) = 27