Answer:
The simpler case is the number:
n = a^7, where a is prime.
We use this so we avoid having cross numbers by multipliying different prime numbers. because for example lets compare:
2^2 = 4 has 3 divisors, 4, 2 and 1.
(4*4) = 16 has the divisors: 1, 2, 4, 8 and 16. (5 divisors).
Now let's mix primes:
2*3 = 6 has 3 divisors, 3, 2 and 1.
6*6 = 36
(3*2*1)*(3*2*1) = 36
then the divisors are:
3*3, 3*2, 3*1, 2*2, 2*1, 1*1, 3*2*2, ..., etc.
You can clearly see that this has a lot more divisors than the previous case.
Then returning to the answer:
a^7 can be divided by a, a^2, a^3, ..., and by itself, a^7 (and 1, so we have exactly 8 divisors).
Now, we can write:
n^2 = (a^7)^2 = (a^(2*7)) = a^14.
By the same logic that was used above, a^14 has 14 + 1 divisors.
Then the smallest number of divisors possible is 15.
find the x & y intercept for 3x-y=-5?
Answer:
Turn the answer to
-y = -3x - 5
-3 is the slope, and -5 is the y - intercept. Now graph it and look for the x intercept
Step-by-step explanation:
Calculate each quotient. Write your answers in lowest terms.
The stem and leaf plot here shows the current sale prices
for 60 houses in Horsham, PA, in thousands of dollars.
Note how the key helps communicate the prices.
Describe the distribution of housing prices.
Answer:
Symmetric
Step-by-step explanation:
In the stem and leaf plot above which represents the current sale prices of houses in dollars, we can observe the shape of the distribution seem like that of a bell shape. Most of the data values are concentrated towards the center compared to the concentration at both extremes.
This implies that most of the current sales price is centered close to the median price of roughly 49/50 dollars.
Therefore, the distribution of housing price can be described as roughly symmetric.
ASAP PLEASE I NEED HELP explain to me also because i dont understand Thank you!
both questions 7 &8
Answer:
For 7 I think A- ( I hope its right-) and 8 is D. - . <:)))))
Step-by-step explanation:
Brainliest is given to the right answer.
Roberto has been playing bass 3 times as many years as his brother Felix has.
Write an algebraic expression for the number of years Roberto has been playing bass. Be sure to indicate what the variable in your expression represents.
Answer:
3f
Step-by-step explanation:
you multiply 3 by f to get the number of years Roberto played bass
Answer:
[tex]R=3(F)[/tex]
Step-by-step explanation:
[tex]R[/tex] = Roberto's years
[tex]F[/tex] = Felix's years
What is the difference between a two step equation and a multi-step equation?
Answer:
When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
hope it helped
X^3= (1/8). Solve for x
Answer: x= 21 =0.500
x= 8−2− −12 = 4−1−i 3
=−0.2500−0.4330i
x= 8−2+ −12 = 4−1+i 3
=−0.2500+0.4330ix= 21 =0.500
Step-by-step explanation:I hope this helped, if not HMU and I will get you a better answer
-Have a great day! :)
can someone help me with this??
There are 6 people at a party. if each person must shake hands with other every other person at the party exactly once how many handshakes will there be
Answer:
If six people all shake hands with each other, how many hand shakes were made in total?
Publish your book. Become an author in 15 days. Get published.
I assume that no two people shake hands if they've already shaken them earlier, irrespective of who initiated it.
In that case Guest 1 will shake hands with 5 others (Guest 2 to 6)
Guest 2 will shake hands with 4 others (Remember she's already shaken hands with Guest 1).
Guest 3 will shake hands with 3 others (having already shaken hands with Guest 1 and 2)
and so on.....
We end up with 5+4+3+2+1 handshakes or 15 handshakes in all!
Step-by-step explanation:
please mark me as a brainlist...
Answer:
15 handshakes
Step-by-step explanation:
the 1st person shakes hands with 5 people
the 2nd person shakes hands with 4 people
the 3rd person shakes hands with 3 people
the 4th person shakes hands with 2 people
the 5th person shakes hands with 1 person
the 6th person shakes hands with no one
5+4+3+2+1=15
100-4 divided 2x(3+7
Answer:
Step-by-step explanation:
7+3=10x2=20
100-4= 96
96 divided by 20= 4.8
If triangle HBN ~ triangle LYR, find the values of X. PLEASE HELP
Answer:
28/21 = 3x - 7/x+11
x = 13
Step-by-step explanation:
The value of x from the given diagram is 13. Option A is correct.
Similarity theorem:From the given similar triangles;
28/3x-11 = x+11/21Cross multiply
28(21) = (3x-11)(x+11)
(3x-11)(x+11) = 588
Expand
3x^2 + 33x - 11x - 121 = 588
3x^2+22x- 709 =0
On factorizing, the value of x is 13
Learn more on similar triangles here: https://brainly.com/question/2644832
HELP!!!
The image shown here is a floor-plan of a house.
Make a vertex-edge graph of this floor-plan, where each letter is a vertex and each doorway is an edge.
It is possible to take a tour of the house so that you walk through each doorway only once and finish at your starting point.
True
False
The perimeters of the triangles shown are equal. Find the side lengths of each
triangle
2x+9
2x+8
2x
2x
R
3x+4
2x
PQ =
QR =
AB
BC=
AC = 1
(Type a whole number.)
PR
A toaster is priced at $27.00. The store is have a 1/3 off sale. What is the new price of the toaster?
Answer:
$18
Step-by-step explanation:
Multiply
27 * 1/3 = 9
Subtract
27 - 9 = 18
Best of Luck!
Identify the constant of
proportionality in the
following tables:
Need help ASAP
Answer:
Constant of Proportionality = 2
The second one is 2
The third one is 6
And the fourth one is 2.5
Find the slope m of a line parallel to a line with slope -4.
Answer:
-4
Step-by-step explanation:
Parallel lines have the same slope so we know that m = -4.
Answer: -4
Step-by-step explanation:
Parallel lines will always have the same lengths. If one side has -4 as a length, the other will also have -4 as it's length.
Hope this helps you!
HELP ILL MARK YOUR brainliest! And give extes points
1. If there are 8 pints in a gallon, what is 56 pints converted to gallons?
a. 14 gallons
b. 7 gallons
c. 3.5 gallons
d. 5 gallons
Answer:
B
Step-by-step explanation:
Answer:
b 7 gallons
8 pints times 7 gallons is 56 pints
bar graph is also known as
Answer:
Step-by-step explanation:
BAR CHART
Hope this helps
plz mark as brainliest!!!!!!!
5-11. A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with 20. Fifteen batch viscosity measurements are given as follows: 724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749, 739, 747, 742. A process change is made that involves switching the type of catalyst used in the process. Following the process change, eight batch viscosity measurements are taken: 735, 775, 729, 755, 783, 760, 738, 780. Assume that process variability is unaffected by the catalyst change. Find a 90% CI on the difference in mean batch viscosity resulting from the process change. What is the practical meaning of this interval
Step-by-step explanation:
Confidence interval = 90% = 0.90.
1 - 0.90 = 0.10
Mean of 15 batch:
724+718+776+760+745+759+795+756+742+740+761+749+739+747+742 = 11253/15
= 750.2
Mean of second batch:
735+775+729+755+783+760+738+780
= 6055/8
= 756.875
Sd = 20
Z-alpha/2 = 1.64
= (750.2-756.875)-1.64*√20²/15 + 20²/8
= -21.0348
(750.2-756.875)+1.64*√20²/15 + 20²/8
= 7.68
2. The upper limit of the interval is less than 10 so in conclusion the difference in mean batch viscosity is about 10 or less than 10
Anybody know this helppppp
Answer:
7.8y - 26.2
Step-by-step explanation:
Answer:
y=-0.15
Step-by-step explanation:
Subtract the 6.4y on the left by the 14.2y, you will get 7.8y. The reason why you subtract instead of add is because you always do the opposite when adding/subtracting from the other side of the equal sign. Next, add the 12.5 to the -13.7 so you get -1.2. The whole equation would be 7.8y=-1.2. Then divide by 7.8 on both sides so that you get y=-0.15. Hope this helps :)
is 4.6 bigger than pi
Answer:
Yes it is
Step-by-step explanation:
Pi is measured to be around 3.14 and 4.6 is of course bigger than 3.14 so yes it is
answer:
yes
explanation:
pi is 3.14 (and those numbers going on forever) even though pi looks big, the numbers are behind the decimal which is very small.
sorry I'm bad at explaining but I just went over this in class
4 is bigger than 3 so automatically 4.6 is bigger than pi
Wilson paints 40% of a bookcase in 20 minutes. How much more time will it take him to finish his bookcase
Nazim is buying rice. The supermarket sells 10 kg of basmati rice for $15.45. Today they have a ‘buy 3, get the 4th free’ offer. The wholesaler also offers 50 kg sacks of rice for $59.00. Based on price, which rice should Nazim buy?
Answer:
50 kg sacks of rice for $59.00.
Step-by-step explanation:
Lets do the math. First, I want to see how much 50 kg of of the first option costs.
$15.45 is worth 10kg.
$15.45*3=$46.35
Since the fourth on is free, the sum will stay the same.
$46.35+$15.45=$61.80.
50 kg of the first option is worth $61.80.
50 kg of the second option is worth $59.00.
$61.80 > $59.00.
So, the second option is cheaper and the better deal.
Select all of the numbers that Brooke could multiply by 2386 to get a product greater than 2386
Answer:
Step-by-step explanation:
Any number greater than 1 will give a number greater than 2386
b. Find the rule for this sequence.
_ _ _ 13, 25, 37
Answer:
You add 12 to the number before to subtract 12 to the number after.
Step-by-step explanation:
13+12=25
37-12=25
Can I have brainliest!
help please asap please
Answer:
b
Step-by-step explanation:
Mrs. Ross needs to buy dish soap. There are four differently sized containers. Sort the brands from least to the greatest unit price. Round each unit price to the nearest thousandth.
Answer: Spotless soap < Bright wash < Lemon bright < lot of suds
Step-by-step explanation:
Given that 8 oz of Lots of suds cost = $0.98
Then unit price of 1 lot of suds = 0.98/8 = $0.1225
Given that 12 oz of Bright wash cost = $1.29
Then unit price of 1 Bright wash = 1.29/12 = $0.1075
Given that 30 oz of Spotless soap cost = $3.14
Then unit price of 1 Spotless soap = 3.14/30 = $0.104666666667
Given that 32 oz of Lemon bright cost = $3.50Then unit price of 1 Lemon bright = 3.50/32 = $0.109375
We also need to round the values to the nearest thousandth means three digits after decimal
Then unit price of 1 lot of suds = $0.123
unit price of 1 Bright wash = $0.108
unit price of 1 Spotless soap = $0.105
unit price of 1 Lemon bright = $0.109
Now we can easily sort them
0.105 < 0.108 < 0.109 < 0.123
respective names in sorted order are:
Spotless soap < Bright wash < Lemon bright < lot of suds
g Programs submitted by programs in a computer science course are examined for syntax errors and logic errors. Suppose 36% of all programs have syntax errors, 47% have logic errors, and 56% have at least one of those two error types. (a) What is the probability a program contains both error types? (b) What is the probability a program contains neither error type? (c) What is the probability a program has logic errors, but not syntax errors? (d) What is the probability a program either has no syntax errors or has no logic errors?
Answer:
The answer is below
Step-by-step explanation:
Let S denote syntax errors and L denote logic errors.
Given that P(S) = 36% = 0.36, P(L) = 47% = 0.47, P(S ∪ L) = 56% = 0.56
a) The probability a program contains both error types = P(S ∩ L)
The probability that the programs contains only syntax error = P(S ∩ L') = P(S ∪ L) - P(L) = 56% - 47% = 9%
The probability that the programs contains only logic error = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%
P(S ∩ L) = P(S ∪ L) - [P(S ∩ L') + P(S' ∩ L)] =56% - (9% + 20%) = 56% - 29% = 27%
b) Probability a program contains neither error type= P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44
c) The probability a program has logic errors, but not syntax errors = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%
d) The probability a program either has no syntax errors or has no logic errors = P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Programs with syntax errors ; n(S) = 36%
Programs with logic errors; n(L) = 47%
Programs with atleast one of the two errors = 56%
P(S) = 0.36 ; p(L) = 0.47
P(SnL) = x
P(S) only + p(L) only + p(SnL) = 0.56
P(S) only = 0.36 - x
P(L) only = 0.47 - x
P(SnL) = 0.36 - x + 0.47 - x + x = 0.56
0.83 - x = 0.56
x = 0.27
B) probability that program contains neither error :
1 - p(program contains atleast one of the two errors)
1 - 0.56 = 0.44
C) probability of logic error but no syntax error :
P(L) - p(SnL)
= 0.47 - 0.27
= 0.20
Choose the correct answer below.
A. The level of significance, , is the probability of committing a Type I error, rejecting the null hypothesis when it is, in fact, true.
B. The level of significance, , is the probability of committing a Type I error, rejecting the null hypothesis when it is, in fact, true.
C. The level of significance, , is the probability of committing a Type II error, not rejecting the null hypothesis when it is, in fact, false.
D. The level of significance, , is the probability of committing a Type II error, rejecting the null hypothesis when it is, in fact, true.
E. The level of significance, , is the probability of committing a Type II error, rejecting the null hypothesis when it is, in fact, true.
F. The level of significance, , is the probability of committing a Type I error, not rejecting the null hypothesis when it is, in fact, false.
Answer: The level of significance, , is the probability of committing a Type I error, rejecting the null hypothesis when it is, in fact, true.
Step-by-step explanation:
The significance level, which is commonly designated as alpha (α) is defined the probability of rejecting the null hypothesis when it is in fact, true.
To determine statistical significance, a researcher is expected to calculate a p-value. The researcher can reject the null hypothesis if the p -value is less than α as established by the researcher.
What is the solution to this equation? 2x - 5 + 3x = 35 A. x = 6 B. x = 8 C. x = 20 D. x = 15
Answer:
B. x = 8
Step-by-step explanation: