Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, and 100
Step-by-step explanation:
Let's pretend that the locker number is represented as a Binary (meaning it's either open or closed).
Looking at this, we can see that each locker is only acted upon if the student number is a factor of it. This is why the 3rd person changes the state of every 3 lockers, the 4th student changes the state of every 4 lockers, etc.
The factors of a number are the numbers that the original number is evenly divisible by. When we divide these, we also receive a factor. With this information, we can conclude that unless one of the factors is the square root of the number, then the "second divided by" factor is itself. For every other number, there will be a "second divided by" factor, so an even number of them. Because an even number + 1 = odd number, then only perfect squares will have an odd number of factors.
Hope this helped!
Answer:
The open lockers are:
1,4,9,16,25,36,49,64,81,100
Step-by-step explanation:
Note that locker 1 is opened by only the first student. So it stays open throughout.
Locker 2 is first opened by student 1, then closed by student 2. Other students don't touch it. So it stays closed.
Locker 3 is first opened by student 1, then closed by student 3. Other students don't touch it. So it stays closed.
Since 4 is a multiple of 1, 2, and 4, it is changed by the 1st, 2nd, and 4th students. Since there is an odd number (3) of changes, locker 4 stays open.
Observe that a locker at position n is opened by students with factors of n.
Every number can be written as the product of a pair of distinct numbers except perfect squares. For example, 6 can be written as 1 × 6 and 2 × 3. Hence, it has 4 factors, which means it is touched an even number of times, making it stay locked.
A number like 9 is written as 1 × 9 and 3 × 3. Hence, it has 3 factors, which is odd, making it stay open.
Since the perfect squares from 1 to 100 are 1,4,9,16,25,36,49,64,81,100, then the open lockers are:
1,4,9,16,25,36,49,64,81,100
Round 630,379,982 to the nearest hundred thousand
Answer:
630,400,000
Step-by-step explanation:
630,379,982
The 3 above that is bold, between the 0 and the 7, is in the hundred thousands place.
To round to a place, change all digits to the right of that place to zero. If the digit immediately to the right is 0 through 4, you're done. If the digit immediately to the right is from 5 to 9, then you raise the digit you are rounding to by 1.
Step 1. Make all digits to the right of the hundred thousands digit 0.
630,300,000
Step 2. Since the digit immediately to the right of the hundred thousands digit was a 7, which is from 5 to 9, the digit we are rounding to goes up by 1. The 3 becomes 4.
630,400,000
Answer: 630,400,000
Can someone help? This is from Kahn Academy
Answer:
B. [tex] \frac{ {7}^{36} }{ {9}^{24} } [/tex]
Step-by-step explanation:
[tex] \bigg( {9}^{6} . {7}^{ - 9} \bigg ) ^{ - 4} \\ \\ = {9}^{6 \times ( - 4)} \times {7}^{ - 9 \times ( - 4)} \\ \\ = {9}^{ - 24} \times {7}^{36} \\ \\ = \frac{ {7}^{36} }{ {9}^{24} } \\ [/tex]
Write 3,141,500 in scientific notation.
Answer:
The answer is 3.14 * 10^-6
Answer:
3.1415 * 10^6
Step-by-step explanation:
Scientific notation is of the form a* 10 ^b where a is between 1 and less than 10
3,141,500
Move the decimal 6 places to the left
The exponent is the number of places you move the decimal
Since we move it to the left, it is positive
3.141500 * 10^6
Drop the trailing zeros
3.1415 * 10^6
21 2/3 Divided by 3 1/4
Answer:
the answer is 20/3 or 6 2/3
Step-by-step explanation:
Hector works in a gas station and earns $15.50 per hour. Last week he worked 29 hours. What was his gross pay?
Answer:
449.50
Step-by-step explanation:
because gross pay is before taxes and everything else and he worked 29 hours so 15.50 × 29 = $449.50
The amount of money that Hector works in a gas station will be $449.50.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Hector works in a service station and procures $15.50 each hour. Last week he worked 29 hours.
The total cost that Hector can earn will be given as,
⇒ $15.50 x 29
⇒ $449.5
The gross pay that Hector works in a corner store will be $449.50.
More about the Algebra link is given below.
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Which of the following is most likely the next step in the series?
o
Answer:
C
Step-by-step explanation:
the first shape has 6 edges, the second shape has 5 edges, the third shape has 4 edges, therefore the fourth shape has 3 edges (c)
6. Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges? F. H. G. J. CARDS, c 2 9 11 15 DOLLARS, d 9 40.5 50.5 67.5 CARDS, c 9 18 27 36 DOLLARS, d 2 4 6 8 CARDS, c 2 4 7 10 DOLLARS, d 9 18 31.5 45 CARDS, c 2 3 4 5 DOLLARS, d 9 10 11 12
Answer:
G.
Step-by-step explanation:
cards = 2
dollars = 9
to check that the number of cards with the correct amount d;
use the ratio and proportion.
(3 x 18)/9 = 4
(4 x 31.5)/18 = 7
(7 x 45)/31.5 = 10
therefore, option G. table G. is the correct answer
try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount. (see attached)
Please help me ! So lost rn
Answer:
2.7 meters
Step-by-step explanation:
So, we know that 1 foot is about 0.305 meters.
To find how many meters are in 9 feet, multiply 0.305 by 9.
Therefore:
[tex]9(1\text{ foot})=9(0.305\text{ meters})[/tex]
Multiply:
[tex]9\text{ feet}=2.745\text{ meters}[/tex]
To the nearest, tenth this would be 2.7 meters.
And we're done!
Can you please help me with this I’ll give you a Brainly list please it’s hard
Answer:
Your answer will be 6+6-17 hope this helps :)
Step-by-step explanation:
Help will give brainliest
Answer:
[tex](-1)+(-3)=-4[/tex]
Step-by-step explanation:
We were originally on -1.
But we jumped to -4.
-4 is 3 spaces to the left of -1.
In other words, we subtract 3 into -1.
Another way of saying this is that we added -3 to -1.
Therefore, our equation is:
[tex](-1)+(-3)=-4[/tex]
195.21 is 24.10% of what number?
Turn the percentage into a decimal.
24.10 / 100 = 0.241
Divide.
195.21 / 0.241 = 810
Therefore, 195.21 is 24.10% of 810
Best of Luck!
Dan is 5 years older than David. Bridget is 8 years younger than David. If the total of their ages is 57, how old is the eldest of them
Answer:
The oldest person is 25 years old
Step-by-step explanation:
Represent David's age by d.
Then Dan's age is d + 5, and Bridget's is d - 8.
The sum of these three ages is 57:
d + (d + 5) + (d - 8) = 57
This simplifies to
3d - 3 = 57, or 3d = 60. Then d must be 20.
David is 20, Dan is 25 (5 years older than David), and Bridget is 12 (8 years younger than David).
Check: Do these three ages add up to 57?
20 + 25 + 12 = 57 YES\
The oldest person is 25 years old. That's Dan's age.
Jen classifies the number 4.567 as an irrational number because it does not repeat. Is Jen correct? Explain.
Answer: Jen is wrong about her classification.
Step-by-step explanation:
First of all, we know that the definition of an irrational number is that they are numbers that cannot be represented by a simple fraction and that they are never repeating decimals and they never end.
So, considering this, Jen is wrong because, yes it does not repeat but it DOES END unless it is not written in this problem that it continues on irrationally like pi. Hence, this number is not irrational.
The Jen classifies the number 4.567 as an irrational number is false.
It is required to find the number is rational and irrational numbers.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Given :
Jen's argument
We have
4.567 as an irrational number
The above claim is false because
4.567 =
4567/1000
When we divide the above number in the form of p/q and q≠0 then then number is rational number.
Therefore, the Jen classifies the number 4.567 as an irrational number is false.
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0.4, 0.04, 0.44, 0.444, 0.404, 0.044 in order smallest first
I'm pretty sure it's 0.04, 0.044, 0.4, 0.404, 0.44, 0.444.
G(x)= -x^2 + 9 find: g(-4)
Answer:
G(-4) = -7
Step-by-step explanation:
G(x)= -x^2 + 9
x= -4
G(-4)= - (-4)^2 + 9
= -16 +9
= -7
This question relates to concepts covered in Lectures 1 & 2. You can use any of the excel files posted to work through the question. Demand at a store can be modeled by a random variable which takes the following values across four different scenarios that occur with following probabilities. Scenario Low: D1 = 10 with probability P1=0. 1 Scenario Medium 1: D2 = 30 with probability P...2=0,4 Scenario Medium 2. D3 = 60 with probability p. 3-0.4 Scenario High: 04 = 90 with probability p_4=0.7 What is the mean of this demand distributional?
Answer:
mean of this demand distribution = 100
Step-by-step explanation:
To find the mean of this demand distribution;
Mean = Expected vale = E[x]
for discrete provability function,
we say E[x] = ∑(x.p(x))
x p(x) x.p(x)
10 0.1 1
30 0.4 12
60 0.4 24
90 0.7 63
∴ ∑(x.p(x)) = ( 1 + 12 + 24 + 63 )
∑(x.p(x)) = 100
A ball player is at bat 55 times as hits the ball 33 times. Want ratio of his times at bat does he not hit the ball?
Answer:55:33
Step-by-step explanation:
55:33
38 animals are at the aquarium. 22 animals are manatees and the rest are sea lions.
How many of the animals are sea lions?
22 manatees
? sea lions
38 animals
Answer:
16
Step-by-step explanation:
38-22=16
16 sea lions
Answer:
38-22=16.
16 sea lions.
Which number rounds to 4.3 when rounded to the nearest tenth?
Answer:
it is the same 4.3
Step-by-step explanation:
this numbers didn't add one number when you round(0,1,2.3.4)
this numbers(5,6,7,8,9), you add one number when you add
4.3 (the three is the tenth)and no number after it so its stell the same
The rounding number of 4.3 when rounded to the nearest tenth is 4.3
Here,
The number is 4.3
We have to find the rounding number of 4.3 nearest tenth.
What is Rounding number?
A method of approximating a number to its nearest place value is called Rounding of Numbers.
Now,
The number is 4.3
To round the decimal number to its nearest tenth, look at the hundredth place.
But here is no any number on hundredth number, hence no change occur for rounding 4.3 to the nearest tenth.
So, The rounding number of 4.3 when rounded to the nearest tenth is same as the number 4.3
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Which one of the following correctly states the VaR for a 3-year period with a 2.5 percent probability?
a) Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3]
b) Prob[Rp, I S E(Rp) x 13 - 1.645 x Op 3]
c) Prob[Rp, T = E(Rp) x V3 - 1.960 x Op 3]
Answer: Option A
Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]
Step-by-step explanation:
It should be noted that, the VaR for a 3-year period with a 2.5 percent probability is Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]. Therefore, option A only is correct while other options are wrong
Answer:
A: Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3]
Step-by-step explanation:
You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You also know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?
Answer:
y = 7.8x + 26
Step-by-step explanation:
Given the following :
Pearson's r = 0.78
Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams
Average weight = 65 kg with standard deviation of 15kg
Formular for the regression line :
General regression formula :
y = mx + c
y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept
Gradient (m) = change in y / change in x
m = (sd y / sd x) * r
m = (sd weight / sd ice cream) × r
m = (15 / 1.5) × r
m = 10 × 0.78 = 7.8
Intercept:
mean of weight(y) - [Slope×mean of icecream(x)]
65 - [7.8 × 5]
65 - 39 = 26
Hence,
y = 7.8x + 26
Find the indicated side of the
triangle.
Answer:
8
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Which step in the problem-solving process includes the following statement? Identify the information the problem gives you. A. Understand B. Look back C. Solve D. Plan
Answer:plan
Step-by-step explanation:
What is the average of 74 and 57?
Answer:
65.5
Step-by-step explanation:
(74 + 57)divided by 2 = 65.5
Solve the following inequality. Write the answer in interval notation. 3×+13≤8×+2
Answer:
[ 11/ 5 , ∞ )
Step-by-step explanation:
7. If a school has 70 computers in the ratio of 3 desktops for every 4 laptops, how many
are desktops? Explain your answer.
Step-by-step explanation:
As ratio of desktops to laptops=3:4
Take no. of desktops= 3x
Take no. of Laptops=4x
Total no. of desktops+ Total no. of laptops = Total no. of computers
3x+4x=70
7x=70
x=10
Hence, the total no, of desktops= 3x
Hence, Total no. of desktops= 3×10
=30 desktops
Enter the correct answer in the box replacing the values of m and b
Answer: f(x) = -2X + 5
Step-by-step explanation:
f(x)=-4x+1 Find the average rate of change from 2 to 5.
Answer:
- 4
Step-by-step explanation:
The slope of the line is the average rate of change of f(x)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(x) = - 4x + 1 ← is in slope- intercept form
with m = - 4 ← average rate of change
is 7.69669669 a rational number
Answer:
yes it is
Step-by-step explanation:
hope this helps✨
give an example of a set of five different numbers whose mean is 290
Answer:
200,300,290,320,340
Step-by-step explanation:
If the mean of five numbers = 290
Then the total sum of the five numbers should be= 290*5
= 1450
an example of a set of five different numbers whose mean is 290
= 200,300,290,320,340
Summation of the above
=( 200+300+290+320+340)
= 1450
So the above set of numbers is a good example of a set of five different numbers whose mean is 290