Answer:
(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:
[tex]5 - 2 = 3[/tex]
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:
[tex](6-4) - 1 = 2 - 1 = 1[/tex]
[tex]6 -(4-1) = 6-3 = 3[/tex]
(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].
Step-by-step explanation:
(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:
[tex]5 - 2 = 3[/tex]
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:
[tex](6-4) - 1 = 2 - 1 = 1[/tex]
[tex]6 -(4-1) = 6-3 = 3[/tex]
(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].
how to write 6 in a expanded form?
Answer: 6 × 1
To write a number in expanded form, add the places by it's number.
Ex: 231 → 200 + 30 + 1 = 231
In the problem, 6 is what we're expanding.
Since 6 is only just 1 digit, it is possible to expand a 1 digit number. All you'll need to do it multiply the digit by 1.
6 → 6 × 1 = 6
Therefore, 6 × 1 is the expanded form of 6.
The following are the temperatures in °C for the first 8 days of January:
-2.5, 0, 4, 4.5, -0.5, -1, 5, 3
What is the median temperature for those 8 days?
Give your answer as a decimal.
help i need it ASAP!!!
Answer:
1.5 °C
Step-by-step explanation:
-2.5, -1, -0.5, 0, 3, 4, 4.5, 5
median is the middle number in the list of numbers
please help find measure of h.Will mark brainlyist to right answer.No link!
Answer:
∠ H = 59°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
121° is an exterior angle of the triangle, then
6x - 1 + 5x + 12 = 121 , that is
11x + 11 = 121 ( subtract 11 from both sides )
11x = 110 ( divide both sides by 11 )
x = 10
Then
∠ H = 6x - 1 = 6(10) - 1 = 60 - 1 = 59°
please solve for x!!!!
Answer:
-14
Step-by-step explanation:
Hello,
Let's have a look at this figure and think about how are these two angles related to each other. These two angles are vertically opposite angles, and any two vertically opposite angles should be equal to each other.
Because the two angles should be equal to each other, we can equate the two equations together and solve for x.
9x + 184 = 7x + 156
9x - 7x = 156 - 184
2x = -28
x = -14
A quality control expert at a pretzel factory took a random sample of 101010 bags from a production run of over 500500500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450, and a standard deviation of 15
Based on this sample, which of the following is a 90%, percent confidence interval for the mean amount of pretzels per bag (in grams) in this production run?
Answer:
H0:μ=440 g
Ha:μ does not equal 440 g
Step-by-step explanation:
kahn
The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is [441.31, 458.69] approximately.
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as [tex]\overline{x}[/tex] andThe sample standard deviation s, andThe sample size = n, and The level of significance = [tex]\alpha[/tex]Then, we get the confidence interval in between the limits
[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]
where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.
For this case, we're provided;
The sample mean given as [tex]\overline{x}[/tex] = 450The sample standard deviation s = 15The sample size = n = 10The level of significance = [tex]\alpha[/tex] = 100 - 90% = 10% = 0.1The critical value of t at level of significance 0.1 iand at degree of freedom 10-1=9 is:
Thus, the confidence interval in between the limits
[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]
or
[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.
Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is [441.31, 458.69] approximately.
Learn more about confidence interval of population for small sample here:
https://brainly.com/question/13073610
Charlotte started soccer practice at 5:30 pm. Practice lasted for 1 hour and 45 minutes. What time was practice over?
Answer:
7: 15
Step-by-step explanation:
Helpppppppp pleaseeeeee I will give brainliest if you knowww pleaseeee helpppppppp
Answer:
I think the answer is 1/2 but dont take my word
what is the perimeter of this polygon?
Answer:
24cm
Step-by-step explanation:
Assuming sides AC and BC are equivalent:
AC = 3cm + 9cm = 12cm
BC = AC = 12cm
AB = 3cm + 3cm = 6cm
AB + BC + AC = 12cm + 12cm + 6cm = 24cm
Answer:
30
Step-by-step explanation:
30
A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags. Based on the data provided above how many degrees of freedom will you have while performing the necessary test of comparison
Answer:
The degrees of freedom, Df = The number of bags produced on Monday - 1
Step-by-step explanation:
The number of degrees of freedom is the limiting number of values that are logically not influenced by other values such that they are capable of having variation
The degrees of freedom = The sample size - 1 = N - 1
Therefore, the degrees of freedom, Df = The number of bags produced on Monday - 1
Find x. This is not drawn to scale.
H
150°
GX 54°
J
E
Are
F
Answer:
48°
Step-by-step explanation:
We solve the above question using circle theorem.
Finding x
The formula is given as
x = 1/2 (150° - 54°)
x = 1/2 (96)°
x = 48°
12!!! POINTS “what is the mode” question!
Answer:
The mode is 23
Step-by-step explanation:
Q1: What is the measure of angle one?
Answer:
34
Step-by-step explanation:
omg please don't listen to the other person it's 34 bc if you look at the angle under 2 it's 34 so that's your answer for one
If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this data point?
Given:
The data point is (3,10.5).
The prediction equation is [tex]y=-6.1x+12.5[/tex].
To find:
The value of the residual for this data point.
Step-by-step explanation:
The data point is (3,10.5). So, the actual value is 10.5 at [tex]x=3[/tex].
Prediction equation is
[tex]y=-6.1x+12.5[/tex]
Putting [tex]x=3[/tex], we get
[tex]y=-6.1(3)+12.5[/tex]
[tex]y=-18.3+12.5[/tex]
[tex]y=-5.8[/tex]
The formula for residual is:
Residual = Actual value - Expected value
[tex]Residual=10.5-(-5.8)[/tex]
[tex]Residual=10.5+5.8[/tex]
[tex]Residual=16.3[/tex]
Therefore, the residual for the given data point is 16.3.
The expression 2 3 4 2 is equivalent to A. 2 7 B. 2 12 C. 8 5 D. 8 6
Answer:
B. 2 12
Step-by-step explanation:
maaf kalo salah ituh jawabbanya menurut guwah
Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form
Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.
Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?
Choose all answers that apply:
(Choice A)
The subset consists of all the outfits that do not have a white shirt.
(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.
(Choice C)
The subset consists of all the outfits that have a black shirt.
(Choice D)
The subset consists of all the outfits that have a white shirt.
Solution:
Outfit Shirt Slacks Tie
Outfit 1 Blue Black Red
Outfit 2 Blue Grey Red
Outfit 3 White Black Red
Outfit 4 White Grey Red
Outfit 5 Black Black Red
Outfit 6 Black Grey Red
We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.
So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.
The subset consists of all the outfits that do not have a white shirt.
So the correct options are :
1. (Choice A)
The subset consists of all the outfits that do not have a white shirt.
2. (Choice C)
The subset consists of all the outfits that have a black shirt.
How many significant figures will there be in the answer to the following problem? You do not have to solve the problem. 3.4 • 17.05 =
Answer:
3.4 × 17.015 = 58
Step-by-step explanation:
3.4 → two non-zero digits = two sig figs
17.05 → four non-zero digits = four sig figs
- hope this helps!
6) The cost of a computer system increases with increased processor speeds. The cost C
of a system as a function of processor speed is estimated as C = 1234 - 35 + 1900,
where S is the processor speed in MHz. Find the processor speed for which cost is at a
minimum. [4 marks]
Answer:
The speed is: 0.0142MHz
Step-by-step explanation:
Given
[tex]C(s) = 1234s^2 - 35s + 1900[/tex]
Required
The processor speed when the cost is at minimum
First, differentiate C(s) with respect to s
[tex]C(s) = 1234s^2 - 35s + 1900[/tex]
[tex]C'(s) = 2468s - 35[/tex]
The cost is at minimum when [tex]C'(s) = 0[/tex]
So, we have:
[tex]C' = 2468s - 35 = 0[/tex]
[tex]2468s - 35 = 0[/tex]
Solve for s
[tex]2468s = 35[/tex]
[tex]s=\frac{35}{2468}[/tex]
[tex]s\approx0.0142[/tex]
Write in standard form
531800000
Answer:
5.318 * 10 to power of 8
Step-by-step explanation:
Answer:
5.318 × [tex]10^{8}[/tex]
Step-by-step explanation:
find the value of x and y, special right triangles
Answer:
25 and 135
Step-by-step explanation:
you see that the small square equals 90
Solve for X: x/5 - 7 = 2
Please give the correct answer. Thank You!
Answer:
x = 45
Step-by-step explanation:
[tex]\frac{x}{5} -7=2\\\\\frac{x}{5}=9\\\\x=45[/tex]
There are twice as many girls as boys in Mr. Terpathi’s 7th grade math class. Each of the girls gave him an oatmeal cookie, and each of the boys gave him a chocolate cookie. Mr Terpathi arranged the cookies in one row with a chocolate cookie farthest to the right. Which of the following must be true?
A. The cookie farthest to the left is chocolate.
B. The cookie farthest to the left is oatmeal.
C. There are at least two chocolate cookies next to each other.
D. There are at least two oatmeal cookies next to each other.
E. Mr. Terpathi received more chocolate cookies than oatmeal cookies.
Answer: D. There are at least two oatmeal cookies next to each other.
Step-by-step explanation:
Alright so basically we can use process of elimination to determine what is true or false so
A. States the farthest to the left is chocolate but we can't prove that because all we know is the cookie farthest to the right is chocolate so this is false
B. Same reason as A we cannot prove what cookie is farthest to the left because we are not given a pattern so B is false
C. Since there are definitely twice as many girls as boys in the class and that also means there are twice as many oatmeal cookies then we cannot prove that 2 chocolate cookies have to be next to each other so also false
D. This has to be true because if there are twice as many girls as boys and more oatmeal than chocolate then is whatever cookie line combinataion we will have at least 2 oatmeal cookies next to each other So this is true
E. This is most definitely not true because the question tells us that twice as many girls gave him oatmeal so if anything there are more oatmeal cookies
How would I do this??
I need this done, please I need to pass these six weeks! Thanks
A sequence can be generated by using an=an−1+4, where a1=5 and n is a whole number greater than 1.
What are the first 5 terms in the sequence?
5, 20, 80, 320, 1280
4, 9, 14, 19, 24
4, 20, 100, 500, 2500
5, 9, 13, 17, 21
The first 5 terms of the arithmetic sequence are: 5, 9, 13, 17, 21.
How to find the first 5 terms?Here we have an arithmetic sequence, such that the recursive formula is:
[tex]a_n = a_{n- 1} + 4[/tex]
Such that:
a₁ = 5.
Using that formula we can get the next 4 terms. For the second term we use n = 2, so we get:
[tex]a_2 = a_1 + 4 = 5 + 4 = 9[/tex]
For the third term we have:
[tex]a_3 = a_2 + 4 = 9 + 4 = 13[/tex]
For the fourth term we have:
[tex]a_4 = a_3 + 4 = 13 + 4 = 17[/tex]
For the fifth term we have:
[tex]a_5 = a_4 + 4 = 17 + 4 = 21[/tex]
Then the first 5 terms of the sequence are:
5, 9, 13, 17, 21.
If you want to learn more about sequences, you can read:
https://brainly.com/question/7882626
There is one dot at 3.45. What does that value
represent?
In one simulated SRS of 100 students, the average
GPA was ; = 3.45.
In one simulated SRS of 100 students, the
population mean GPA was = 3.45.
There is a 1 out of 100 chance that the population
mean GPA is u = 3.45.
A majority of the sample of 100 students had a GPA
of 1 = 3.45.
Answer:
A- In one simulated SRS of 100 students, the average GPA was = 3.45.
Step-by-step explanation:
Just took the assignment myself, but here's a bit of insight to help anyone later on!
The x-bar means sample statistic. Since it was one sample taken out of the dot plot, 3.45 is a sample statistic.
I WILL GIVE YOU BRAINLYEST!! PLSS HELP ME ASAP!!
The dot plot below represents how long it takes students in an 8th grade math class
to get to school every morning.
Minutes
How many students are in the class?
Answer:
18
Step-by-step explanation:
It is 18. Just simply count the dots and sum them all up together, and you get 18. Unless there is a specific thing needed.
PLEASE HELPPPPP
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
From the given table,
A. The unit rate for each car is,
Car A = [tex]\frac{416}{13}[/tex]
= 32 miles per gallon
Car B = [tex]\frac{544}{16}[/tex]
= 34 miles per gallon
Car C = [tex]\frac{665}{19}[/tex]
= 35 miles per gallon
Car D = [tex]\frac{775}{25}[/tex]
= 31 miles per gallon
B. From the derived values in A, the car that uses the least amount of gas is Car C.
C. Total distance covered = 496 miles x 4
= 1984 miles
The gallons of gas the Car A would need for the journey can be determined by;
Car A requires 1 gallon for 32 miles
So that for 1984 miles = [tex]\frac{1984}{32}[/tex]
= 62 gallons
Car A would need 62 gallons of gas to make the trip.
D. Amount spent on gas for Car A = $2.12 x 62
= $131.44
E. speed = [tex]\frac{distance}{time}[/tex]
⇒ time = [tex]\frac{distance}{speed}[/tex]
Given the for Car A, speed = 68 miles per hour.
time = [tex]\frac{1984}{68}[/tex]
= 29.1765
time = 29 hours
It would take approximately 29 hours for Car A to cover the total distance of 1984 miles.
Please help me asap thanks
Answer:
x=3.5
Step-by-step explanation:
To make DEF similar to XYZ, the sides have to be in the same ratio. EF corresponds to YZ. EF=3, and YZ=4.5. The ratio 3:4.5 can be simplified to 2:3. Side DF corresponds to XZ. DF=7 and XZ=3x. So, the ratio is 7:3x.
To find x, we first find out what 3x is. In this case 3x is 3(7/2)=10.5. So, x=10.5/3=3.5.
The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.
Answer:
25.7 m
Step-by-step explanation:
The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter. Thus, the formula for the circumference is C = (d)(pi). The perimeter of a semicircle is half that, or
C = (pi)(r), which here is (3.14)(5 m) = 15.7 m. Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:
P = 15.7 m + 10 m = 25.7 m
