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
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 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:
-2 1/3 - (-5) A: -7 1/3 B: 3 1/3 C: 3 3/2 D: 2 2/3
Answer:
2 2/3 (D)
Step-by-step explanation:
[tex]19 = \frac{11b + 5}{2} [/tex]
how to solve this equation
Step-by-step explanation:
11b + 5 = 38
11b = 33
b = 3 is the answer
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,
brainly.com/question/26457073
#SPJ2
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 :)
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:
Chi has $11:30 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many of each are there?
Answer: 20 quarters and 63 dimes
Step-by-step explanation:
q = number of quarters
3q+3 =number of dimes
0.25q + 0.10 (3q+3) = 11.30
0.25q + 0.30q + 0.30 = 11.30
0.55q + 0.30 = 11.30
0.55q = 11.00
Q = 20 quarters
3q + 3 =
3 (20) +3 =
63 dimes
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
Help please!
Graph the image of the figure after a dilation with a scale factor of 1/4
centered at
(5, – 5).
Use the polygon tool to graph the triangle by connecting all its vertices.
Answer:
The point at (-7, -5) = a
The point at (9, 3) = b
The point at (-3, 7) = c
The "a" point of the triangle is 12 units away from the center point.
So, 12 x 1/4
=> 12/4
=> 3
So, the "a" point of the dilated figure is 3 units left from the center.
=> So, the dilated "a" point is at (2, -5)
The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.
=> 8/4 = 2
So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.
=> So, the dilated "b" point is at (6, -3)
The "c" point is 12/8 units away from the center point.
=> 12/8 x 1/4
=> 3/2
So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.
=> So, the dilated "c" point is at (3, -2)
The coordinates after the dilation of 1/4 are A'(2,-5), B'(6,-3), and C'( 3,-2) and this can be determined by using the given data.
Given :
Dilation Factor -- 1/4Center -- (5,-5)The following steps can be used in order to determine the graph the image of the figure after a dilation with a scale factor of 1/4 centered at (5, -5):
Step 1 - According to the given graph, the coordinates of the triangle are A(-3,7), B(-7,-5), and C(9,3).
Step 2 - According to the given data, the dilation factor is 1/4.
Step 3 - The distance of the center from point A is 12 units.
[tex]=\dfrac{1}{4}\times 12[/tex]
= 3
So, A'(2,-5).
Step 4 - The distance of the center from point B is 8 units.
[tex]=\dfrac{1}{4}\times 8[/tex]
= 2
So, B'(6,-3).
Step 5 - The distance of the center from point C is 12/8 units.
[tex]=\dfrac{1}{4}\times \dfrac{12}{8}[/tex]
[tex]=\dfrac{3}{2}[/tex]
So, C'( 3,-2).
For more information, refer to the link given below:
https://brainly.com/question/2856466
Find the
degree of the algebraic
expression:
3x^3 + 3x^2y^2 - y^2
Answer:
Degree 4
Step-by-step explanation:
Expression:
3x^3 + 3x^2y^2 - y^2
3x^3 - degree 33x^2y^2 - degree 2+2 = 4y^2 - degree 2So the expression has degree 4 as per the highest degree of the terms
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.
Answer?
Quick please.
Answer:
5.6
Step-by-step explanation:
All you need to do if solve for the cube root of 176
Volume cube = a^3
3root(176) = 5.604
I hope this helps!
-TheBusinessMan
Answer:
5.6 m
Step-by-step explanation:
The volume of a cube can be found using the following formula.
[tex]v=s^3[/tex]
We know the volume of the cube is 176 m³, so we can substitute that value in for v, or volume.
[tex]176 m^3=s^3[/tex]
We want to find the side length. Therefore, we must get the variable, s, by itself on one side of the equation.
s is being cubed. The opposite of cubed is the cube root. So, take the cube root of both sides of the equation.
[tex]\sqrt[3]{176m^2} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{176m^2} =s[/tex]
[tex]5.60407866 m =s[/tex]
The question tells us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 6 in the tenth place.
[tex]5.6m \approx s[/tex]
The side length of the cube is about 5.6 meters.
this is rlly easy but im just to lazy to answer it help pls ty
Answer:
C. 72
Step-by-step explanation:
-3 x -2 = 6
6 x 3 = 18
18 x 4 = 72
Answer:
Step-by-step explanation:
this question involves negative and positive
so simple
What is 21/40 divided by 23/80
Answer:
[tex]\Large \boxed{\frac{42}{23}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{21}{40} \div \frac{23}{80}[/tex]
Performing reciprocal of the second fraction.
[tex]\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}[/tex]
Multiplying both fractions.
[tex]\Rightarrow \displaystyle \frac{1680}{920}[/tex]
Simplifying the fraction.
[tex]\Rightarrow \displaystyle \frac{42(40)}{23(40)}[/tex]
[tex]\Rightarrow \displaystyle \frac{42}{23}[/tex]
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:
What is the reciprocal of 3?
Answer:
reciprocal of 3 is 1/3..
Answer:
0.33333333333
Step-by-step explanation:
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.
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 .
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.
A political scientist wants to estimate the proportion of adult residents of a state who favor a unicameral legislature. Discuss possible units and frames. Also, discuss the rela- tive merits of personal interviews, telephone interviews, and mailed questionnaires as methods of data collection
Answer and explanation:
The political scientist is investigating "proportion of adult residents
..." and so the subjects of his study can only be found among adults. The units are therefore all adults, including registered adults. The frames can include census data showing adults in a particular area, telephone directories, registered voters in the area etc. If the researcher chooses to use personal interview in collecting data for his research, he would easily get response and also be able to explain questions out more, also there is the benefit of less corrupted data. Using telephone interview would save the researcher and respondents costs as there is no need to travel and the researcher could still explain out questions properly. If the researcher chooses to collect data through mailing respondents, there is alot more flexibility as respondents can reply at their convenience and when they are ready, also subjects may wish to not disclose identity with this data collection method
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.
You ride in a car for 225 miles at an average speed of 60 miles per hour. How many hours did your
trip take? Show all work steps!
Answer:
3.75 hoursStep-by-step explanation:
Using the formula for calculating the speed expressed as;
Speed = Distance covered/Time taken
If I ride in a car for 225 miles at an average speed of 60 miles per hour then the distance covered = 225 miles and the speed of the car = 60miles/hour
Substituting the given parameters into the formula above to get the time taken;
60 = 225/time
cross multiply
60*time = 225
Divide both sides by 60;
60*time/60= 225/60
Time = 3.75 hours
Hence the amount of hours taken during the trip is 3.75hours
-12divided by 3 help me plz
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Write it out: -12 ÷ 3-12 ÷ 3 = -4Solve 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
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
:)
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 :)
A doctor prescribed a baby 0.75 ml of medication twice a day but the pharmacist labeled the bottle with instructions to administer 3/4 teaspoon twice a day. Fortunately, the child was not injured. Calculate the excess medication given in one day in milliliters.
Answer:
5.89 mL
Step-by-step explanation:
doctor prescribed = 0.75 ml (2x a day) = 1.5 mL
pharmacist labeled = 3/4 teaspoon (0.75 teaspoon (2x a day) = 1.5 teaspoon
convert 1.5 teaspoon to mL = 7.39 mL
therefore,
the excess medication given in one day = 7.39 mL - 1.5 mL = 5.89 mL
Answer:
[tex]\Huge \boxed{\mathrm{5.89\ ml}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The doctor prescribed a baby 0.75 ml of medication twice a day.
[tex]0.75 \cdot 2 = 1.5[/tex]
The baby should take 1.5 ml of medication in one day.
The pharmacist labeled the bottle with instructions to administer 3/4 teaspoon twice a day.
[tex]\displaystyle \frac{3}{4} \cdot 2 = 1.5[/tex]
The instructions told to take 1.5 teaspoons of medication in one day.
[tex]\sf 1.5 \ teaspoons = 7.39 \ ml[/tex]
The excess medication given in one day (in ml):
[tex]\Longrightarrow 7.39-1.5 \\ \\ \\ \Longrightarrow 5.89[/tex]
[tex]\rule[225]{225}{2}[/tex]
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.
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.