Answer:
20v
Step-by-step explanation:
answer
20 v. hope helpful answer. 10+10v-10+10 =20
Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?
Answer:
2, 367
Step-by-step explanation:
142,020 / 5 = 28, 404
28, 404 / 12 = 2, 367
\int\limits^0_∞ cos{x} \, dx
Answer:
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleTrig GraphsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]Trig IntegrationImproper IntegralsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx[/tex]
Step 2: Integrate
[Improper Integral] Rewrite: [tex]\displaystyle \lim_{a \to \infty} \int\limits^0_a {cos(x)} \, dx[/tex][Integral] Trig Integration: [tex]\displaystyle \lim_{a \to \infty} sin(x) \bigg| \limits^0_a[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \lim_{a \to \infty} sin(0) - sin(a)[/tex]Evaluate trig: [tex]\displaystyle \lim_{a \to \infty} -sin(a)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle -sin(\infty)[/tex]Since we are dealing with infinity of functions, we can do a numerous amount of things:
Since -sin(x) is a shift from the parent graph sin(x), we can say that -sin(∞) = sin(∞) since sin(x) is an oscillating graph. The values of -sin(x) already have values in sin(x).Since sin(x) is an oscillating graph, we can also say that the integral actually equates to undefined, since it will never reach 1 certain value.∴ [tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Improper Integrals
Book: College Calculus 10e
6th work. What measure of Central tendency is calculated by adding all the values and diving the sum by the number of values
A) Median
B) Mean
C) Mode
D) Range
Which equation has the following: Center (0, -3) and radius [tex]\sqrt{11}[/tex]
Answer:
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center (0, -3)
This means that [tex]x_0 = 0, y_0 = -3[/tex]
Radius square root of 11
This means that [tex]r = \sqrt{11}[/tex]
Equation of the circle:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]
[tex]x^2 + (y + 3)^2 = 11[/tex]
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]
Can someone explain why we need to add the sides - 300+300+55+55+315+315 to get the answer 1340 for finding the perimeter for the diagram?
Answer:
Step-by-step explanation:
Solution :-
we know that,
Area of a ∆ with sides a, b , c and semi- perimeter s is √[s * (s - a) * (s - b) * (s - c)] .
semi - perimeter = (a + b + c)/2 .
given sides of triangular field are 55m, 300m and 300m..
So,
→ s = (55 + 300 + 300) / 2 = 327.5m.
Than,
→ Area of triangular field = √[327.5 * (327.5 - 55) * (327.5 - 300) * (327.5 - 300)] = √[327.5 * 272.5 * 27.5 * 27.5] = 27.5√(327.5 * 272.5) = 27.5 * 298 = 8195 m².
Now given that,
→ Area of triangular field = (7/15)th area of circular park.
So,
→ 8195 = (7/15) * Area of circular park.
→ (8195 * 15)/7 = Area of circular park.
→ Area of circular park = 17560.7 m².
Therefore,
→ πr² = 17560.7
→ (22/7) * r² = 17560.7
→ r² = (17560.7 * 7) / 22
→ r = 74.74 m.
Hence,
→ Perimeter of the circular Park = 2πr = 2 * (22/7) * 74.74 = (3288.56)/7 = 469.8m. (Ans.)
Hope this answer helps you :)
Have a great day
Mark brainliest
a variable for which no data have been collected but has influence on other variables in the study.
Answer:
Confounding variable
Step-by-step explanation:
Confounding variables also known as lurking or third variable are varibeks which causes an unwanted or spurious association between an independent and dependent variable. This Confounding variable usually has a relationship between not the independent and dependent variable and if not adequately managed or corrected for, they may cause a relationship which is not intended thereby interfering with the outcome of our research. Such is the correlation between ice cream sale and murder rate.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a standard deviation of 0.9 years. Step 1 of 2 : If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means
Answer:
5.9 years.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Mean of the population is [tex]\mu = 5.9[/tex]
If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the same population mean, of 5.9 years.
List the coefficients in the row of Pascal's triangle corresponding to n = 7.
9514 1404 393
Answer:
1 7 21 35 35 21 7 1
Step-by-step explanation:
Numbering from k=0 to k=7, the k-th coefficient in the row is ...
C(7, k) = 7!/(k!(7-k)!)
You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...
C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21
C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35
So, row 7 is ...
1, 7, 21, 35, 35, 21, 7, 1
Please help I can't figure it out
Answer:
61.2%
Step-by-step explanation:
Let's start by finding the total area of the circle
it says that the radius is 4 so the total area is 16π
Then let's find the area of the traingle
The hieght is 6.5 and the base is 6
.5*6.5*6=19.5
Let's then find the white area
16π-19.5=30.765
Finally we just have to do (30.765/16π)= 61.2%
what is the least common denominator of 1/3 and 4/7?? plsss explain
Answer:
21
Step-by-step explanation:
The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.
(FYI: In some cases, if the product is even, it may not always work to multiply them together)
Answer:
21
hope this helps
have a good day :)
Step-by-step explanation:
3 multiples are 3, 6, 9, 12, 15, 18, 21, 24
7 multiples are 7, 14, 21, 28
so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21
A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.
Answer:
yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Step-by-step explanation:
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Option (B) is correct.
It is required to find the appropriate to model the distribution of the sample.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
A local steakhouse served 625 customers over a weekend.
The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Learn more about arithmetic here:
https://brainly.com/question/23907399
#SPJ2
find the equation of the striaght line passing through (3, 5) which is perpendicular to the line y=3x+2
Answer:
pls provide with a graph
Solve using the quadratic formula
Answer:
-5, -1/2
Step-by-step explanation:
I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.
I need help ASAP please
Answer:
The perimeter is 35 units
Step-by-step explanation:
Given
The attached shape
Required
The perimeter of the shape
From the shape, we have:
[tex]AB = 11[/tex]
[tex]AD = 8[/tex]
[tex]BD = AD = 8[/tex] --- sides of an isosceles
Also:
[tex]BC = DC = BD = 8[/tex] --- sides of an equilateral
So, the perimeter (P) is:
[tex]P = AB + BC + DC + AD[/tex]
[tex]P = 11 + 8 + 8 + 8[/tex]
[tex]P = 35[/tex]
Properties of Isosceles triangles
2 sides are equal
2 angles are equal
Properties of equilateral triangles
All sides are equal
All angles are equal
BRAINLIEST NEED HELP ASAP ALOT OF POINNTS
Answer:I believe it is -4
Step-by-step explanation:
What is the tangent of 0?
Step-by-step explanation:
tan 0 = 5/ √11 = 5√11 /11
__________
Answer:
5 / √11
Step-by-step explanation:
tan θ = opposite side / adjacent side
tan θ = 5 / √11
reduce the 24 hour clock times in 12 hour clock time add am or pm
Answer:
1) 1:04 am
2) 6:22 pm
3) 6:42 pm
4) 1:30 pm
5) 12:40 pm
6) 5:35 pm
7) 3:24am
8) 11:25 am
9) 6:42 am
10) 9:20 am
iv)
The sum of
four numbers in G.P. is 80 and the A.M. between the
first and the last is 28. Show that the numbers are 2, 6, 18, 54.
Answer:
Step-by-step explanation:
Given numbers : 2 , 6, 18, 54
Since common ration between numbers,
[tex]common \ ratio \ in \ GP , \ r = \frac{a_n}{a_{n-1}} = \frac{6}{2} = 3[/tex]
So the numbers are in GP.
Now Sum of the numbers = 2 + 6 + 18 + 54 = 80
AM, arithmetic mean between first and last number :
[tex]\frac{54+2}{2} = \frac{56}{2} =28[/tex]
All the conditions are true.
Which statement implies that A and B are independent events?
O A. P(B|A) = P(B N A)
O B.
P(BA) = P(B)
P(A)
O C.
P(B|A) = P(A)
OD.
P(BA) = P(B)
Answer:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Step-by-step explanation:
Independent events:
If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
The statement is [tex]P(A \cap B) = P(A)P(B)[/tex]
Geometry work HELP ASAP trying to find the measure of a circumference!!
Answer:
65 degrees
Step-by-step explanation:
Since it is given that AB=DC
then we know that AO=DO and BO=CO because it is the radius of a same circle.
Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
from 5 metres of cloth Alexa cut 217 cm how much cloth remaining after cutting
Answer:
2.83 meters
Step-by-step explanation:
Change 217 cm to meter
217 * 1 m/ 100 cm = 2.17 m
5 meter - 2.17 m = 2.83 meters
Answer:
283 cm Or 2.83 m of cloths remaining after cutting.
Step-by-step explanation:
Alexa have a cloth measures 5 metre and she cut 217 cm clothes.As we know that
1 m = 100 cm
so, 5 m = 5 × 100 = 500 cm
Alexa cut 217 cm of clothesSubtract 217 cm from 500 cm
➛ 500 - 217
➛ 283 cm Or 2.83 m
Plz Help more than one !!!!!!!!!!!!!!!!!!
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
The functions f(x) and g(x) are shown on the graph. f(x)=x² what is g(x)?
[tex]a. \: \: g(x) = ( x - 2) {}^{2} [/tex]
[tex]b. \: \: g(x) = 2 {x}^{2} [/tex]
[tex]c. \: \: g(x) = ( \frac{1}{2} x) {}^{2} [/tex]
[tex]d. \: \: g(x) = (x + 2) {}^{2} [/tex]
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Answer:
b. g(x) = 2x²
Step-by-step explanation:
The vertices of the two curves are in the same place, so no translation has taken place. This eliminates choices 'a' and 'd'.
A point on the curve g(x) is given. You can test to see which of choices 'b' and 'c' it satisfies.
B: g(2) = 2(2²) = 8 . . . . matches point (2, 8)
C: g(2) = (1/2·2)² = 1² = 1 . . . . does not match point (2, 8)
The function g(x) is ...
g(x) = 2x²
Help please!! Step by step!!
Answer:
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex]
Step-by-step explanation:
Given
The attached plot
Required
P(Ice Cream|Frogtown)
This is calculated as:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
From the attachment;
[tex]P(Ice\ Cream\ n\ Frogtown) = 0.31[/tex]
[tex]P(Frogtown) = 0.31 + 0.15 = 0.46[/tex]
So, we have:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
[tex]P(Ice Cream|Frogtown) = \frac{0.31}{0.46}[/tex]
[tex]P(Ice Cream|Frogtown) = 0.6739[/tex]
Express as percentage
[tex]P(Ice Cream|Frogtown) = 0.6739 * 100\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.39\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex] -- approximated
Which inequality shows all possible values for the measure of the third side, x, in inches?
Answer:
[tex]26 > c > 58[/tex]
Step-by-step explanation:
Given
[tex]a,b =42; 16[/tex] --- 2 sides
Required
The inequality for the third side
To do this, we make use of:
[tex]a + b < c[/tex]
[tex]a + c < b[/tex]
[tex]b + c < a[/tex]
So, we have:
[tex]42 + 16 < c[/tex]
[tex]16 + c < 42[/tex]
[tex]42 + c < 16[/tex]
This gives:
[tex]58 < c[/tex]
[tex]c < 26[/tex]
[tex]c<-26[/tex]
The usable inequalities are:
[tex]c < 26[/tex] and [tex]58 < c[/tex]
Rewrite:
[tex]c < 26[/tex] and [tex]c > 58[/tex]
So, the inequality is:
[tex]26 > c > 58[/tex]
Pleas help will mark brainlist!
Geometry
This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.
What is 5x5 answer for a cookie
Answer:
25
Step-by-step explanation:
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
Determine the values of the parameter s for which the system has a unique solution, and describe the solution. x 1 - 5 sx 2
Answer:
[tex]s \ne \±2[/tex]
[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]
[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]
Step-by-step explanation:
Given
[tex]3sx_1 +5x_2 = 3[/tex]
[tex]12x_1 + 5sx_2 =2[/tex]
Required
Determine the value of s
Express the equations as a matrix
[tex]A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right][/tex]
Calculate the determinant
[tex]|A|= (3s*5s -5 *12)[/tex]
[tex]|A|= (15s^2 -60)[/tex]
Factorize
[tex]|A|= 15(s^2 -4)[/tex]
Apply difference of two squares
[tex]|A|= 15(s -2)(s + 2)[/tex]
For the system to have a unique solution;
[tex]|A| =0[/tex]
So, we have:
[tex]15(s -2)(s+2) = 0[/tex]
Divide both sides by 15
[tex](s -2)(s+2) = 0[/tex]
Solve for s
[tex]s -2 = 0\ or\ s +2 = 0[/tex]
[tex]s = 2\ or\ s = -2[/tex]
The result can be combined as:
[tex]s =\±2[/tex]
Hence, the system has a unique solution when [tex]s \ne \±2[/tex]
Next, we solve for s using Cramer's rule.
We have:
[tex]mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right][/tex]
Calculate the determinant
[tex]|x_1| = (3 * 5s - 5 *2)[/tex]
[tex]|x_1| = 15s - 10[/tex]
So:
[tex]x_1 =\frac{|x_1|}{|A|}[/tex]
[tex]x_1 = \frac{15s - 10}{15(s -2)(s+2)}[/tex]
Factorize
[tex]x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}[/tex]
Divide by 5
[tex]x_1 = \frac{3s - 2}{3(s -2)(s+2)}[/tex]
[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]
Similarly:
[tex]mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right][/tex]
Calculate the determinant
[tex]|x_2| = 3s * 2 - 3 * 12[/tex]
[tex]|x_2| = 6s- 36[/tex]
So:
[tex]x_2 =\frac{|x_2|}{|A|}[/tex]
[tex]x_2 = \frac{6s- 36}{15(s -2)(s+2)}[/tex]
Factorize
[tex]x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}[/tex]
Divide by 3
[tex]x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}[/tex]
[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]
