What is 4.905 written in expanded form using a unit fraction
Answer:
if it wants reduced it is 981/200
if it doesn't mater this is not reduced 4905/1000
The number 4.905 can be written as in the expanded form 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³.
What is expanded form?The expanding form can be used to indicate the value of each digit in a number in arithmetic. Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.
It is given that:
The number is 4.905
The number can be written in the expanded form as:
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
4.905 = 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³
Thus, the number 4.905 can be written as in the expanded form 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³.
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Calculate the probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
Using the normal distribution, it is found that there is a 0.7452 = 74.52% probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.Researching the problem on the internet, it is found that:
The mean is [tex]\mu = 3.59804[/tex].The standard deviation is [tex]\sigma = 0.47986[/tex].The probability is the p-value of Z when X = 4.2 subtracted by the p-value of Z when X = 3.1, hence:
X = 4.2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4.2 - 3.59804}{0.47986}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3.59804}{0.47986}[/tex]
[tex]Z = -1.04[/tex]
[tex]Z = -1.04[/tex] has a p-value of 0.1492.
0.8944 - 0.1492 = 0.7452.
0.7452 = 74.52% probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
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Solve the equation.
y + 3 = -y + 9
O y = 1
O y = 3
O y = 6
O y = 9
Answer:
y = 3
Step-by-step explanation:
Subtract 3 from both sides of the equation
y + 3-3 = -y + 9-3
Simplify
y = -y + 6
Add y to both sides of the equation
y+y=-y+6+y
Simplify
2y = 6
Divide both sides of the equation by the same term
2y/2 = 6/2
Simplify
y = 3
[RevyBreeze]
The solution of the Equation is y= 3.
We have, the equation is
y + 3 = -y + 9
y + y = 9 - 3
2y = 6
Now, divide both side we get
2y = 6
2y/ 2 = 6/ 2
y = 3
Thus, the solution of y is 3.
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During an experiment, the temperature of a solution changes from 945°F to 1714°F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth.
%
We have that the percent of increase in the temperature is mathematically given as
P=81.376%
The percent of increase in the temperature
Question Parameters:
During an experiment, the temperature of a solution changes from 945°F to 1714°F.
Generally the equation for the Rise in temperature is is mathematically given as
945=1714*x
x=0.55
Therefore
55% of 1714 gives 945
Hence, The parentage increase is
P=(1714-945)/945*100
P=81.376%
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https://brainly.com/question/13439286
Answer:
the answer is 76.02
Step-by-step explanation: K12 orva 7th grade 2.04 Quiz: Percent Increase or Decrease
Enter the value of some ergoession 34+) is equinient to 3=o).
Answer:
1/27
Step-by-step explanation:
Answer:
1/27 is correct give brainliest to fist respond
Mr.kellsons storage closet is 3 ft long, 3 ft wide. and 7 ft high. Can she fit 67 that each have volume of 1 cubic foot in her closet. Explain your answer
Hey! can you help me with question number 2? I am really confused about it
Find the solution to the system of equations by substitution.
2x - 2y = - 6
y= 2x
Answer:
x = -2
y = 2
Step-by-step explanation:
Take the value of x from the first equation: x = 2 − 2 y ( 1 ) , and substitute for x into the second: y = 2 ( 2 − 2 y ) + 6 solve for y ; y = 4 − 4 y + 6 y = 10 5 = 2 Substitute back into ( 1 ) and find x : x = 2 − 4 = − 2
Please help me I don’t understand at all
Answer:
p(n) = 4*(1-0.06)^n
Answer:
p(n)=4(0.94)
Step-by-step explanation: 100%-6%=94%=0.94
Hope this helps
it was observed that 60% read
magazine A, 50% magazine B, 50% magazine C, 30% A and B, 20% B and C, 30% C and
A and 10% all the threes. In the fitness of the thing, state (i) what percentage read exactly
two magazines ? (ii) what percentage do not read any of the threes ?
Answer:
je
Step-by-step explanation:
suis suis pasforet en anglais
We're dealing with percentage. hence, our universal set: U=100%.
Let:A = set of those that read magazine A
B = set of those that read magazine B
C = set of those that read magazine C
(i) we are looking for n{(A n B) u (B n C)}
so, n{(A n B) u (B n C)} = n(A n B) + n(B n C) -n(A n B n C)
n{(A n B) u (B n C)} = 20% + 30% - 10%
: n{(A n B) u (B n C)} = 40%
(ii) We're looking for {A' n B' n C'}
{A' n B' n C'} = n(U) - n(A u B u C)
{A' n B' n C'} = 100% - n(A u B u C)
n(A u B u C) = n(A) + n(B) + n(C) - n{(A n B) - n(A n C) -n(B n C) + n(A n B n C)
n(A u B u C) = 60% + 50% + 50% -30% - 30% - 20% + 10%
n(A u B u C) = 90%
however, {A' n B' n C'} = 100% - n(A u B u C)
: {A' n B' n C'} = 100% - 90%
{A' n B' n C'} = 10%
let me know if you think there's a reason to doubt my answer.
round to the nearest whole %
1. What is the relative frequency for middle school students whose favorite sport is baseball?
2. What is the relative frequency for middle school students whose favorite sport is basketball?
3.What is the relative frequency for middle school students whose favorite sport is football?
4.What is the relative frequency for high school students whose favorite sport is baseball?
5.What is the relative frequency for high school students whose favorite sport is basketball?
6.What is the relative frequency for high school students whose favorite sport is football?
The relative frequency for middle school students whose favourite sport is baseball is 27%.
The relative frequency for middle school students whose favorite sport is basketball is 31%.
The relative frequency for middle school students whose favorite sport is football is 42%.
The relative frequency for high school students whose favorite sport is baseball is 44%.
The relative frequency for high school students whose favorite sport is basketball is 31%
The relative frequency for high school students whose favorite sport is football is 25%
What is relative frequency?
Relative frequency measures how often a value appears relative to the sum of the total values.
The relative frequency for middle school students whose favourite sport is baseball = 13/48 = 27%
The relative frequency for middle school students whose favorite sport is basketball = 15 / 48 = 31%
The relative frequency for middle school students whose favorite sport is football = 20 / 48 = 42%
The relative frequency for high school students whose favorite sport is baseball = 23 / 52 = 44%
The relative frequency for high school students whose favorite sport is basketball = 16 / 52 = 31%
The relative frequency for high school students whose favorite sport is football = 13 / 52 = 25%
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Joseph has $620 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $440.12.
• He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $53.96 each.
Answer:
https://brainly.com/question/24093265
Step-by-step explanation will be provided in the link above!
Question
The time in minutes) for each of Ahmed's phone calls this week are: 9, 15, 5, 7, 9, 12, 11, 4. Which of the following
statements is true?
The mode is greater than 7.
The mean is less than 8.
The range is less than 10.
The median is greater than 10.
Which statement is true about the pattern above (Look at picture)
Answer:
C. the next fraction is 243/324
Step-by-step explanation:
In A, we can see that 12/16 does not fall under the sequence.
In B, all the values in the sequence is 0.75.
In C, the next fraction is determined by multiplying numerator and denominator by 3. therefor the correct solution is found.
In D, its wrong and does not match.
Check option C
243/324=0.75Hence option C is correct as all are equal in this sequence
Select the correct answer from each drop-down menu.
Martin purchased a condo below market value in 2001. He pald $92,500 for the condo even though the market value of the condo
higher. In 2014, Martin transferred to another city for work and had to sell his condo. The market value of his condo Increased ov
shown in the graph below, where the yaxis represents the market value of the condo, in dollars, and the x-axis represents the nu
since 2001.
Market Value of Martin's Condo
y
200,000
190,000
180,000
170,000
ue ($)
160,000
The linear function that represent the value of Martin condo is y = 2000x + 92500
Linear equation
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the market value of the condo after x years since 2001.
In 2001, the condo was $92500, hence b = 92500.
Let us assume the value increased by $2000 per year, hence:
The linear function that represent the value of Martin condo is y = 2000x + 92500
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100k value
5% per year
NOT!!! 2001
NOT!!!2014
A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.6 hours for the flight, and it takes the private airplane 2.4 hours.
The speed of the commercial jet is 180 miles per hour faster than the speed of the private airplane. Find the speed, in miles per hour, of both airplanes.
commercial jet
X mph
private airplane
X mph
Answer:
commercial: 540 mphprivate: 360 mphStep-by-step explanation:
Time is inversely proportional to speed for the same distance covered. The ratio of commercial to private speeds is ...
2.4 : 1.6 = 3 : 2
If p is the speed of the private plane, then 3/2p is the speed of the commercial plane and the difference of speeds is ...
3/2p -p = 180
1/2p = 180 . . . collect terms
p = 360 . . . . . . speed of the private plane
3/2p = 540 . . . . speed of the commercial plane
The commercial jet flies 540 mph; the private plane flies 360 mph.
Given g(x) = (x+2) f(x) = 3x+1. find (Fog)(x)
Answer:
they ask for composite functions better do online search
here you go
= 3(x+2)+1
Solve
[tex]2 \times 2(3 \times 2) \\ hurry \: first \: person \: brainest \\ thank \: you[/tex]
Pls
hurry
Thank you
Answer:
24
Step-by-step explanation:
2×2(3×2)
2×2(6)
2×12
24
A pack of 8 batteries cost 4.72!What is cost per battery?
What is the slope of the line on the graph below?
Answer:
Two ways to get the solution:
slope = rise
run
slope = 1
3
or
slope = y2- y1
x2 - x1
slope = -4 - (-5)
3 - 0
slope = 1
3
What is the square root of -3-4i??
Answer:
this what i got
Step-by-step explanation:
=1.73205081i
All roots:
1.73205081i
−1.73205081i
3 is not a perfect square
according to its warning lable a rowboat can safely hold 310lb
Nick weighs 148 lb Elaine weighs 120 lb and Dario weighs 167 lb
Who can go on the boat safely
Answer:
Nick and Elaine can go on the boat safely
Elaine and Dario can go on the boat safely
Nick and Dario can NOT go on the boat safely
Step-by-step explanation:
Nick's weight + Elaine's weight = 268, 288<310
Elaine's weight + Dario's weight = 287, 287<310
Nick's weight + Dario's weight = 315, 315>310
Answer:
Nick And Elaine Can Go On The Boat Safely
Elaine And Dario Can Go On The Boat Safely
Nick And Dario can Not Go On The Boat Safely
Nick's weight + Elaine's Weight = 268
Elaine's Weight + Dario's Weight = 287
Nick's Weight + Dario's Weight = 315
◊ YusuCr ◊
Please help > p finance
photo attached.
Answer:
A 0.00525
Step-by-step explanation:
Interest rate has to be a decimal.
To convert percent to a decimal, divide by 100:
6.3% = 6.3/100 = 0.063
For the monthly rate, divide 0.063 by 12 (since there are 12 months in a year):
0.063/12 = 0.00525
Therefore, r = 0.00525
The trapezoids below are similar. Find z.
Answer:
[tex]z = 24.5[/tex]
solving similarities:
[tex]\frac{upper-length}{bottom- length}=\frac{upper-length}{bottom- length}[/tex]steps:
[tex]\frac{2}{14} =\frac{7/2}{z}[/tex]
[tex]2z = \frac{14*7}{2}[/tex]
[tex]2z = 49[/tex]
[tex]z = 24.5[/tex]
Answer:
[tex]z = \dfrac{49}{2}[/tex]
Step-by-step explanation:
If the trapezoids are similar, then the ratio of side lengths will be equal.
[tex]\implies 14 : 2 = z : \dfrac72[/tex]
[tex]\implies \dfrac{14}{2}=\dfrac{z}{\frac72}[/tex]
[tex]\implies z=\dfrac{14}{2} \times \dfrac72[/tex]
[tex]\implies z = \dfrac{49}{2}[/tex]
Check Understanding
Shel has 11/8 pizzas to sell. How much pizza does he have? Write the mixed number
Answer:
1 3/8
Step-by-step explanation:
There 11 is greater than 8, so there is one whole pizza. 11-8=3 so there are 3 more out of those 8.
shoot me a comment if there are more questions, have a good day :)
Which of the following is a valid application of the distributive property? A. 3. (4 - 5) = (3.4) - (3.5) B. 3 + (4 - 5) = (3 + 4) - (3 + 5) O Both A and B O A only O Neither A nor B B only
Answer:
The answer is A only.
Step-by-step explanation:
Hope that helps!
Answer:
A only.
Step-by-step explanation:
-6a+12=42. How do we do this equation
Answer: -5
Step-by-step explanation:
You have to find a. Here's some steps you can take.
1.) Subtract 12 on the left side of the equal sign to get -6a by itself. When subtracting 12 you must subtract 12 from 42 as well.
2.) Your new equation would be -6a = 30
3.) Now you need to get a by itself. How do we do that? By dividing -6a by -6. REMEMBER: You must also do the same to the right side of the equal sign which is 30 (30/-6)
4.) Your problem should end up looking like this: a = -5
Help me to solve all of this questions
......
Answer:
Q 6.
[tex]2x - x + 4(x - (x + 7) - 2) \\ x + 4(x - x - 7 - 2) \\ x + 4( - 9) \\ = x - 36[/tex]
____o___o___
Q 7.
o 1)
[tex] \frac{ {x}^{2} - 4 }{5 - x} \times \frac{ {x}^{2} - 8x + 15}{ {x}^{2} - 5x + 6 } \\ \\ \\ \frac{(x + 2)(x - 2)}{5 - x} \times \frac{(x - 5)(x - 3)}{(x - 3)(x - 2)} \\ \\ \\ \frac{(x + 2)}{5 - x} \times \frac{(x - 5)}{1} \\ \\ \\ \frac{(x + 2)}{ - ( - 5 + x)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - (x - 5)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - 1} \\ \\ = - (x + 2) \\ \\ = - x - 2[/tex]
___o___o___
o 2)
[tex] \frac{ {x}^{2} - 2x - 8 }{ {x}^{3} + 3 {x}^{2} } \div \frac{x - 4}{ {x}^{2} - 9} \\ \\ \\ \frac{ {x}^{2} - 2x - 8}{ {x}^{3} + 3 {x}^{2} } \times \frac{ {x}^{2} - 9 }{x - 4} \\ \\ \\ \frac{(x - 4)(x + 2)}{ {x}^{2}(x + 3) } \times \frac{(x + 3)(x - 3)}{x - 4} \\ \\ \\ \frac{x + 2}{ {x}^{2} } \times \frac{x - 3}{1} \\ \\ \\ = \frac{(x + 2)(x - 3)}{ {x}^{2} } \\ \\ \\ = \frac{ {x}^{2} - x - 6 }{ {x}^{2} } [/tex]
__o___o__
Q 8.
a.
[tex]10 {x}^{2} + 7x - 12 \\ = (5x - 4)(2x + 3)[/tex]
Mrs. Moore has 91 pieces of candy to split among s students. Which expression shows how many pieces of candy each student will receive?
A. 91 - s
B. 91 × s
C. 91 ÷ s
D. 91 + s
Another way to say that someone is "splitting between" themselves and someone else is "dividing amongst" or "dividing between".
Answer:
C. 91 ÷ s
Step-by-step explanation:
Split among = ÷
Hence, the Answer = 91 ÷ s
~Lenvy~
Carlos wants to have an average of
at least 90% on his tests for Semester
So far he has gotten a 95%.,
an 87%
and an 887. What is the minimum he
must get on the next test to maintain
the 90% average?