the absolute value of twice a number increased by 11
Answer: I2*N + 11I
Step-by-step explanation:
Let's break the sentence so it is easier to understand:
First, "the absolute value of a number N" is:
INI.
"twice a number increaced by 11"
is:
2*N + 11
Then; "the absolute value of twice a number increased by 11" is:
I2*N + 11I
Which equation has a constant of proportionality equal to 3?
Answer:
Step-by-step explanation:
y = 3x is an example of such an equation.
Answer:
D for Khan Academy. :p
Hope it helps :)
Step-by-step explanation:
1. Twelve years ago, your grandma put money into a savings account for you that earns 7.5% interest annually and is
continuously compounded. How much money is currently in your account if she initially deposited $10,000 and you
have not taken any money out?
Answer:
23,817$
Step-by-step explanation:
And you will have earned 13,817 in interest.
The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79.
What is compound interest?
Compound interest is applicable when there will be a change in principal amount after the given time period.
If you give anyone $500 at the rate of 10% annually then $500 is your principle amount.
Given that,
Principle amount P = $10000
Rate of interset R = 7.5% = 0.075
Time period T = 12 years
Compound interest formula ;
A = P[1+R]^T
A = 10000[1+0.075]¹²
A = $23817.79
Hence "The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79".
For more information about compound interest,
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Are 95/- 5, - 95/5, - 95/5 the same?
Answer:
Step-by-step explanation:
Yes, 95/-5, -95/5, -95/5 are the same.
They are all equal to -19
Answer:
Yes, 95/-5, -95/5, -95/5 are the same.
They are all equal to -19
Step-by-step explanation:
which of the following statements is not true concerning the equation x^2 - C = 0 for C > 0
A. the left hand side of the equation is called a difference of two squares
B. quadratic equation in this form can always be solved using the square root property
C. a quadratic equation in this form can always be solved by factoring
D. this equation is not considered to be a quadratic equation because it's not at the farm of ax^2 + BX + C = 0
Answer:
it is the quadratic equations to sole your questions
Auto racing is a sport enjoyed by many people. In each race, there may be up to 25 cars on the racetrack. Which of the following is NOT an example of a quantitative variable you might use to describe a car in a race?
A. the brand of car
B. the number of tires used
C. the number of laps completed
D. the average speed (in mpg)
Answer:
A. the brand of car
Step-by-step explanation:
quantitative variable are those variable whose value can be represented by any number. The number may be fractional, decimal or discrete. But it should have some value like 2, 8, 1000 , 3.555, 4/5 ETC.
______________________________
Given
A. the brand of car
The brand cannot have numerical value. Brand has value like ferrari, mercedes, SKODA , JEEP etc.
Hence,
A. the brand of car is an example of a quantitative variable that might not be used to describe a car in a race. (Answer)
___________________________
Other three
can have numerical values
as
the number of tires can have value 1,2,3,4,5
the number of laps completed can have value from 0, 1, 2, ...to n laps as decided for thr race
average speed can have value 40 km.hr, 45.666 km/hr ...etc
Answer:
the brand of car
This is the answer edge 2020
Step-by-step explanation:
Find the slope of the line passing through the points (-2,5) and (3/2, 2).
Answer:
The answer is
[tex] - \frac{6}{7} [/tex]Step-by-step explanation:
The slope of the line passing through two points can be found by using the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (-2,5) and (3/2, 2)
The slope is
[tex]m = \frac{2 - 5}{ \frac{3}{2} + 2} \\ = - \frac{3}{ \frac{7}{2} } \\ = - 3 \div \frac{7}{2} \\ = - 3 \times \frac{2}{7} [/tex]We have the final answer as
[tex] - \frac{6}{7} [/tex]Hope this helps you
x^3 - 2y^2 - 3x^3 + z^4
Answer:
-2x³ - 2y² + z⁴
Step-by-step explanation:
Step 1: Write out expression
x³ - 2y² - 3x³ + z⁴
Step 2: Combine like terms (x³)
-2x³ - 2y² + z⁴
Find valve of X of a vertical angle with 5x+4 degrees and 8x- 71 degrees
Answer: The value of x in a vertical angle is 25.
Step-by-step explanation:
So far the givens are:
a vertical angle with 5x + 4 degrees and 8x - 71 degrees
We know that all vertical angles are congruent. Therefore, we also know that the two given equations are equal. So knowing that, we can do:
5x + 4 = 8x - 71
Group like terms:
71 + 4 = 8x - 5x
75 = 3x
25 = x
Hence your answer.
The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: The digit must be odd. The letters A, E, I, O, and U cannot be used. Letters cannot be used more than once.
Answer:
For the code we have 3 selections.
The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}
So we have 5 options.
The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)
So here we have 27 - 5 = 22 options
The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.
Here we have 22 - 1 = 21 options.
The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:
C = 5*22*21 = 2310.
There are 2310 different possible codes
Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 36,500 miles. Management also believes that the standard deviation is 5,000 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund some money if the tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000.
a) For each tire sold, what is the expected cost of the promotion?
b) Please perform the simulation for 1000 times, what is the probability that Grear will refund more than $50 for a tire?
Answer:
Step-by-step explanation:
standard deviation σ =5000
Mean μ = 36500
X = 30000
Probability that tire fails to reach 30000 miles
P(< 30000) = P( z < (30000-36500) / 5000 )
= P ( z < - 1.3 )
= .0968 ( from z table )
refund per mile = .01
refund for 30000 mile = .01 x 30000 = 300
expected cost of promotion
= 300 x .0968
= 29.04
b )
refund of $50 is equivalent to shortage of milage by 50 / .01 = 5000 miles
Probability of miles less than 30000 - 5000 = 25000
P ( X < 25000 ) = P ( z < (25000 - 36500) / 5000 )
P ( z < - 2.3 )
= 0.0107 Answer .
I have 30 ones 2 thousamds,4 hundred thousands 60 tens, and 100 hundreds
Answer:
52630
Step-by-step explanation:
Simplify all the words into numbers.
30 + 2000 + 40000 + 600 + 10000
Add.
52630
Find the standard form of the equation of the ellipse with the given characteristics. Center: (1, 2); vertex: (−7, 2); minor axis of length 12
Answer:
(x-1)²/64 + (y-2)²/144 = 1
Step-by-step explanation:
The standard equation of an ellipse is expressed as (x-h)²/a² + (y-k)²/b² = 1
Where the coordinate (h,k) is the centre of the ellipse.
a is the the difference of the x coordinates of the centre and the vertex.
b is the minor axis.
Given the centre to be (1,2), on comparing with the coordinate (h,k),
h = 1 and k = 2
The difference of the x coordinates of the centre and the vertex = -7-1 = -8
The minor axis as given in the equation is b = 12
Substituting the given parameters into the equation of an ellipse above we will have;
(x-1)²/(-8)² + (y-2)²/12² = 1
(x-1)²/64 + (y-2)²/144 = 1
The final equation gives the required standard form of the equation of the ellipse.
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due to line spoilage and 3% involve both problems. (a) Are the two types of spoilages independent or not? Justify your answer. (b) What is the probability that: i- line spoilage given that there is transformer spoilage ii- Transformer spoilage but not line spoilage. iii- Transformer spoilage given that there is no line spoilage iv- Neither transformer spoilage nor there is no line spoilage v- Either transformer spoilage or there is no line spoilage
Answer:
Step-by-step explanation:
Let us denote probability of spoilage as follows
Transformer spoilage = P( T ) ; line spoilage P ( L )
Both P ( T ∩ L ) .
Given
P( T ) = .05
P ( L ) = .08
P ( T ∩ L ) = .03
a )
For independent events
P ( T ∩ L ) = P( T ) x P ( L )
But .03 ≠ .05 x .08
So they are not independent of each other .
b )
i )
Probability of line spoilage given that there is transformer spoilage
P L/ T ) = P ( T ∩ L ) / P( T )
= .03 / .05
= 3 / 5 .
ii )
Probability of transformer spoilage but not line spoilage.
P( T ) - P ( T ∩ L )
.05 - .03
= .02
iii )Probability of transformer spoilage given that there is no line spoilage
[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )
= .02 / 1 - .08
= .02 / .92
= 1 / 49.
i v )
Neither transformer spoilage nor there is no line spoilage
= 1 - P ( T ∪ L )
1 - [ P( T ) + P ( L ) - P ( T ∩ L ]
= 1 - ( .05 + .08 - .03 )
= 0 .9
Find the reciprocal.
- 1/5 and 2 3/8
Answer:
The reciprocal is simply the opposite, so flip it. For te first one, since its a negative, flip it to make it positive, and flip 1/5 to 5/1. I hope this helps
Step-by-step explanation:
solve the quadratic equation by completing the square x^2+8x+11=0
Answer:
[tex]x=-4\pm\sqrt5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x^2+8x+11=0[/tex]
First, subtract 11 from both sides:
[tex]x^2+8x=-11[/tex]
Now, add the c term. Divide 8 by 2 and then square it:
[tex](x^2+8x+16)=-11[/tex]
What we do to one side we must also do to the other. Thus:
[tex](x^2+8x+16)=-11+16[/tex]
Simplify:
[tex](x^2+8x+16)=5[/tex]
Perfect Square Trinomial:
[tex](x+4)^2=5[/tex]
Take the square root:
[tex]x+4=\pm\sqrt5[/tex]
Subtract 4:
[tex]x=-4\pm\sqrt5[/tex]
And that's our answer :)
Solve the following linear equation and please explain how you did it 6y+8=6(y+4)−16
Answer:
infinite solutions, true for all y
Step-by-step explanation:
6y+8=6(y+4)−16
Distribute
6y+8 = 6y+ 24 - 16
Combine like terms
6y+8 = 6y+8
Subtract 6y from each side
8=8
Since this is always true, the equation is true for all real y
Answer:
True of all values of 'y'.
Step-by-step explanation:
[tex]6y+8=6(y+4)-16\\\\6y+8=6y+24-16\\\\6y+8=6y+8\\\\6y+8-8=6y+8-8\\\\6y=6y\\\\6y-6y=6y-6y\\\\\boxed{0=0}[/tex]
Hope this helps.
Simplify the following expression: [tex]\sqrt{x} 48a^{8}[/tex]
Answer:
[tex]48\sqrt{x}a^{8}[/tex]
Step-by-step explanation:
[tex]\sqrt{x}48a^{8}[/tex]
rewrite using communitive property of multiplication:
[tex]48\sqrt{x}a^{8}[/tex]
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\sqrt[48]{xa^8} \; \, \dfra\;\ \;\; \dfrac{}{} $ } }\\[/tex]
Step-by-step explanation:
[tex]\sqrt{x48a^8}[/tex]
There are no variables we will just rewrite this as:
[tex]\sqrt[48]{xa^8}[/tex]
Hope this helps!
Which of the following units is commensurable with miles?
• acres
• kilograms
• hours
• centimeter
Answer:
centimeter
Step-by-step explanation:
Miles is a measure of distance, so the commensurable measure will also be a distance measure.
acres - area measure
kilograms - mass measure
hours - time measure
centimeter - distance measure
Using the commensurable units concept, it is found that centimetres is commensurable with miles.
-------------------
Two units of measurement are said to be commensurable if they represent the same thing.-------------------
Miles is a measurement of distance.Acres is a measurement of area, thus, it is incommensurable with miles.Kilograms is a measurement of mass, thus, it is incommensurable with miles.Hours is a measurement of time, thus, it is incommensurable with miles.Centimetres is a measurement of distance, thus, it is commensurable with miles, being the correct option.A similar problem is given at https://brainly.com/question/17387584
Ali is sledding down a hill the graph shows her elevation as she sleds down the hill.
Answer:
The steepness of the hill is a function of the speed of the sled.
Hope this helps :)
whats 16*2-3(2^6+12)*5
Answer:
- 328
Explanation:
16*2-3(2*6+12)*5 = 32 - 3(12+12)*5 = 32-3*24*5 = 32-360 = - 328
Answer: The answer is 11,020.
Step-by-step explanation:
Do the equation one step at a time:
1. 16 times 2 = 32
2. 32 - 3 = 29
3. (2 ^ 6 + 12) = 64 + 12 = 76
4. (29)(76) = 2,204
5. (2,204) times 5 = 11,020.
Hence, your answer.
Solve for x: |3x + 12| = 18
Answer:
X = 2 or X = -10
Step-by-step explanation:
We know either3x+12=18or3x+12=−18
3x+12=18(Possibility 1)
3x+12−12=18−12(Subtract 12 from both sides)
3x=6
3x
3
=
6
3
(Divide both sides by 3)
x=2
3x+12=−18(Possibility 2)
3x+12−12=−18−12(Subtract 12 from both sides)
3x=−30
3x
3
=
−30
3
(Divide both sides by 3)
x=−10
Answer:
x=2 or x=−10
Evaluate each expression. (Simplify your answers completely.)
Answer:
b- 6
c- 72 square root 2
Step-by-step explanation:
Can someone help & explain. I don’t understand!!
Answer:
{2, 3, 4, 5, 6}
Step-by-step explanation:
You are expected to determine the digits of the given number, then list them between curly brackets. Even if a digit appears in the number more than once, you need list it only once. It is helpful to sort the elements of a set, but not necessary.
__
The digits are 5, 3, 2, 6, 4, 6.
In sequence, the unique digits are 2, 3, 4, 5, 6.
The set of digits in the number is ...
{2, 3, 4, 5, 6}
_____
"Roster notation" means you simply list the elements of the set.
Points A, B, and C are collinear and AB. AC at (n, q) and point C is located at (-3,-4). What are the values of n and q?
Answer:
the answer is -4
Step-by-step explanation:
According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College majority in the 2020 US Presidential Election in 10,997 simulations out of a total of 40,000 simulations.
(a) I am interested in the probability that Donald Trump wins any one simulation from the Five Thirty Eight model. Write the parameter of interest. Write and calculate the estimate of your parameter using mathematical notation.
(b) Construct a 95% confidence interval for the parameter from (a), show at least 4 significant digits. I highly recommend using R, and only rounding at the end.
(c) TRUE or FALSE:
According to the FiveThirty Eight model, there is a 95% probability that the true parameter of interest from
(a) lies within your interval from (b).
(d) TRUE or FALSE:
If I were to repeat samples of 40,000 from the Five Thirty Eight model, I expect 95% of my sample statistics from (a) to lie within your interval from (b).
(e) TRUE or FALSE:
If I were to repeat samples of 40,000 from the FiveThirty Eight model, I expect 95% of samples to lead to 95% confidence intervals that cover the true parameter of interest from (a).
(f) People often misinterpret the FiveThirty Eight model to say that our previous results suggest that Donald Trump "shouldn't" or "won't" win the election. Explain why this is not a correct interpretation. Suggest, calculate, and explain an alternative conclusion from the simulation results that is more intuitive and interpretable.
Answer:
a) P = 0.274925
b) required confidence interval = (0.2705589, 0.2793344)
c) FALSE
d) FALSE
e) TRUE
f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.
Step-by-step explanation:
a)
PROBABILITY
since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is 10,997
so the required Probability will be 10,997 divided by 40,000
P = 10997 / 40000 = 0.274925
b)
To get 95% confidence interval for the parameter in question a
(using R)
>prop.test(10997,40000)
OUTPUT
1 - Sample proportion test with continuity correction
data: 10997 out of 40000, null probability 0.5
x-squared = 8104.5, df = 1, p-value < 2.23-16
alternative hypothesis : true p ≠ 0.5
0.2705589 0.2793344
sample estimate
p
0.274925
∴ required confidence interval = (0.2705589, 0.2793344)
c)
FALSE
This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.
d)
FALSE
Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.
e)
TRUE
This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.
f)
The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.
There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.
4(x+2) = x-4 ALGEBRA TILES ALGEBRA Solution:
Answer:
x = 4
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write equation
4(x + 2) = x - 4
Step 2: Distribute
4x + 8 = x - 4
Step 3: Subtract 8 on both sides
4x + 8 - 8 = x - 4 - 8
4x = x - 12
Step 4: Subtract x on both sides
4x - x = x - x - 12
3x = 12
Step 5: Divide both sides by 3
3x/3 = 12/3
x = 4
Final Answer:
x = -4
Step-by-step explanation:
step 1 Simplify both sides of the equation:
4(x + 2) = x - 4
(4)(x) + (4)(2) = x + (-4)
4x + 8 = x + (-4)
step 2 Subtract x from both sides:
4x + 8 - x = x - 4 - x
3x + 8 = -4
step 3 Subtract 8 from both sides:
3x + 8 - 8 = -4 - 8
3x = -12
last step Divide both sides by 3:
3x -12
___ = ___
3 3
x = -12/3
x = -4
:)
Use the distributive to remove the parentheses: x(c-4)
Answer:
xc + -4x
Step-by-step explanation:
The distributive property allows the multiplication of a sum by multiplying each addend separately and then sum those products.
With this in mind, let's apply the distributive property to the expression:
x (c - 4)
= x * c + x * (-4)
= xc + -4x
Cheers.
is 3.14159 a rational or irrational number?
Answer:
Irrational
Step-by-step explanation:
It would be a irrational number because it’s a crazy decimal/pi and you can’t determine what number comes next.
Solve for x. 1 (x-2) = -5.5
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = - 3.5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1(x - 2) = - 5.5}[/tex]
Distribute 1 through the parentheses
⇒[tex] \sf{x - 2 = - 5.5}[/tex]
Move -2 to right hand side and change it's sign
⇒[tex] \sf{x = - 5.5 + 2}[/tex]
Calculate
⇒[tex] \sf{x= - 3.5}[/tex]
Hope I helped!
Best regards!!
x is -3.5
1 (x - 2) = -5.5
Remove the brackets by dividing both sides by 1:
(x - 2) / 1 = -5.5 / 1
x - 2 = -5.5
Take -2 to the other side so that you can be left with x. When you do this, the sign will change from negative to positive:
x = -5.5 + 2
x = -3.5
x is therefore -3.5
Find out more at https://brainly.com/question/17289207.