Answer:
sum of money(principal)=rs5000
amount=rs8750
rate=15%
to find interest use forrmula,
amount=principal+interest
rs8750=rs5000+interest
rs8750-rs5000=interest
rs3750=interest
to find time use formula,
interest=p*t*r/100
rs3750=rs5000*t*15/100
rs3750*100=rs75000*t
rs375000/rs75000=t
5=t
Step-by-step explanation:
therefore the sum of money rs5000 amount to rs8750 at the rate of 15% after 5 years
Kadence took a random sample of students at her school and asked them how much they typically slept on a school night versus a weekend night. She noticed a positive linear relationship between the times. Here is computer output from a least-squares regression analysis on her sample:
Regression: weekend vs school night
Predictor Coef SE Coef
Constant 3.182 2.319
School night 0.789 0.237
S= 1.75 R-Sq= 20.9%
Required:
What is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 000?
Answer:
The answer is "3.329".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\text{test statistic t} = \frac{slope}{standard \ error}[/tex]
[tex]=\frac{0.789}{0.237}\\\\=3.329[/tex]
Calculate the total amount paid for a stock if you purchased 350 shares of the stock at $21.50 per share
the broker's commission is $40 + $0.20/ share
O $7595
O $7635
0 $7525
O $7000
Answer:
7635
Step-by-step explanation:
350(.2+21.5)+40=7635
Answer:
7525
Step-by-step explanation:
you have to multiply
Which of the following equations have the same solution as 3x - 5 = 5x + 11
Answer:
x = -8 Hope that helps bye!
Step-by-step explanation:
1. Subtract 3x from both side -5=5x+11-3x
2. Simplify 5x+11-3x= 2x+11
3. Subtract 11 from both sides -5-11=2x
4. Simplify -5-11= -16=2x
5. Divide both sides by 2 -16/2=x
4. Simplify 16/2 = -8 = x
5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8 1. 3×-8-5=5×-8+11
2. 3×-8= -24 do -24-5=5×-8+11
3. Simplify 5×-8= -40 do -24-5=-40+11
4. Simplify -24-5= -29 do -29= -40+11=-29
-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. A 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Required:
Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answer:
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.
This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Evaluate each expression for n= -5.
5. n-6
6.-15-n
7. n-(-12)
8. 1-n
Answer:
Hello!
5: -11
6: -10
7: 7
8: 6
Hope that helps!
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
16 yd
Step-by-step explanation:
If a is missing, then use the square root of c^2-b^2. In this case that means you find the square root of 20^2-12^2. 20^2 is 400, and 12^2 is 144. When you subtract 144 from 400 you get 256. The square root of 256 is 16. I hope this helps :)
Answer:
16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Leg a = a
Leg b = 12
Hypotenuse c = 20
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²Evaluate exponents: a² + 144 = 400[Subtraction Property of Equality] Isolate a term: a² = 256[Equality Property] Square root both sides: a = 16Can anybody help me out on this? Thanks.
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Given
[tex]y = -2x^2 + 12x +7[/tex]
Required
The x coordinate of the vertex
Using the general form:
[tex]y = ax^2 +bx +c[/tex]
The x coordinate is:
[tex]x = -\frac{b}{2a}[/tex]
In [tex]y = -2x^2 + 12x +7[/tex]
[tex]a = -2[/tex]
[tex]b = 12[/tex]
[tex]c = 7[/tex]
So, we have:
[tex]x = -\frac{b}{2a}[/tex]
[tex]x = -\frac{12}{2*-2}[/tex]
[tex]x = -\frac{12}{-4}[/tex]
[tex]x = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
plz help 5th grade work
Answer:
I don't see where the question is...
Step-by-step explanation:
need help plz help me out i have a bad grade rn
Answer:
I only know the second part sorry
9.35
Step-by-step explanation:
3(9)÷4+2.6=
27÷4+2.6=
6.75+2.6=
9.35
What is the value of
(4.1 x 103) (2.0 x 103)
expressed in scientific notation?
Option A is the answer of this question.
Find the surface area of the rectangular prism
love yall again thx for the help
Answer :
Cost of running shoes = $92
Cost of total expenditure = $122
It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s
Thus the equation formed will be ,
4s + 92 = 122Option D is the correct answer
What is the slope of the graph shown below?
A. -2
B. 2
C. -5
D. 5
ANSWER FAST I JUST NEED ANSWER
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The graph shows 180 pages on it, and if you go over and down then it shows chapter 18.
PLssssssssssssssssssssss help.
Solve for V . -2(v+1)=3v-17 Simplify your answer as much as possible.
Answer:
v = 3
Step-by-step explanation:
You can start by distributing -2:
-2v - 2 = 3v -17
Next, add 2v to both sides to combine the v terms:
-2v - 2 = 3v - 17
+2v +2v
-2 = 5v - 17
To isolate the v term, we add 17 to both sides:
-2 = 5v - 17
+17 +17
15 = 5v
Lastly, divide by 5 to get v:
15 = 5v
÷ 5 ÷5
3 = v --> v = 3
Plssss help I’ll mark u brainliest!!!
Answer:
The answer to the question is C
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
According to hypotenuse
39²+b²=65²
b²=65²-39²
b²=4225-1521
b=√2,704
b=52 km
The recommended adequate intake (RAI) of calcium for adults is 1000 mg. per day. To investigate the calcium intake of people living below the poverty level, a researcher obtained a random sample of 18 adults below the poverty level and found a mean daily calcium intake of 947.4 mg.
Required:
a. Determine the margin of error
b. Find 95% confidence interval fo rthe population mean
c. Interpret the confidence inteval. ( explain what it tells us about the estimated mean daily camlium intake for the population).
Answer:
93.50
(853.90 ; 1040.90)
Step-by-step explanation:
Mean, xbar = 947.4 mg
Sample size, n = 18
σ = 188
Margin of Error :
Tcritical * σ/√n
TCritical at 95% , df = n - 1 = 17 = 2.11
Margin of Error = 2.11 * 188/√18 = 93.50
The 95%, confidence interval :
Xbar ±Margin of error
Lower boundary = Xbar - margin of error
Lower boundary = 947.4 - 93.50 = 853.90
Upper boundary = Xbar + margin of error
Lower boundary = 947.4 + 93.50 = 1040.90
(853.90 ; 1040.90)
A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.
What is the probability of picking out a red marble, putting in back in the bag, and then picking out a yellow marble?
What is the probability of picking out a blue marble, putting it in your pocket, and picking out another blue marble?
Answer:
Step-by-step explanation:
The total number of marbles is 20
Question A
P(Red) = 4/20 = 1/5
P(yellow) = 9/20
P(Red then Yellow) = 1/5 * 9/20 = 9 / 100
Question B
P(B) = 6/20
P(B again) = 5/19 because you have 1 less total plus 1 less blue.
P(B and B) = 6/20 * 5/19
P(B and B) = 30/ 380 = 3/38
Jayda takes her dog Rolo to obedience training once each week. Jayda bought a box of 96 dog treats and split them evenly into b bags. Each bag contains 16 treats.
Write an equation to describe this situation.
How many dog bags of treats does Jayda have?
Name the three labeled segments that are parallel to EF
Answer:
Answer D
Step-by-step explanation:
The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.
What is the product?
StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
StartFraction x (x minus 1) Over 2 EndFraction
StartFraction (x + 4) (x minus 4) Over 2 x (x minus 1) EndFraction
StartFraction (x minus 4) (x minus 1) Over 2 x (x + 4) EndFraction
Answer:
A
Step-by-step explanation:
The product of the expression [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex] is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
What is an expression?An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations
Below is how to calculate the product
The product expression is given as:
[tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Express x^2 - 16 as a difference of two squares
[tex]\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Divide the expression
[tex]\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Factorize the other fraction
[tex]\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}[/tex]
Further factorize
[tex]\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}[/tex]
Divide
[tex]\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}[/tex]
Multiply the fractions
[tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
Hence, the product of [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex] is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
Read more about algebraic expressions at:
https://brainly.com/question/4344214
Write the expression 53.7124 x 10 x 3 as a single number.
Answer:
The aswer is buy a rabbit
Step-by-step explanation:
Answer:
1611.372
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeehhhheelllllllpppppppppp
Answer:
2/3
Step-by-step explanation:
My brain is too big
Answer:
2/3
Step-by-step explanation:
Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
(one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)
Answer:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 - x +2[/tex]
Required
The vertex
We have:
[tex]f(x) = x^2 - x +2[/tex]
First, we express the equation as:
[tex]f(x) = a(x - h)^2 +k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
So, we have:
[tex]f(x) = x^2 - x +2[/tex]
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
[tex]f(x) = x^2 - x +2[/tex]
[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]
[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Expand
[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Factorize
[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
Factor out x - 1/2
[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]
Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]
[tex]h = \frac{1}{2}[/tex]
[tex]k = \frac{7}{4}[/tex]
Hence:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
Answer: A or 1/2 , 7/4
Step-by-step explanation:
did it on an assignment on EDGE
Assuming the population is normally distributed, find the probability P(x>4.5) given the mean is 6 and the standard deviation is 0.7
Answer:
[tex]P(x > 4.5)= 0.983943[/tex]
Step-by-step explanation:
Given
[tex]\mu = 6[/tex]
[tex]\sigma = 0.7[/tex]
Required
[tex]P(x > 4.5)[/tex]
Start by calculating the z score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{4.5 - 6}{0.7}[/tex]
[tex]z = \frac{-1.5}{0.7}[/tex]
[tex]z = -2.143[/tex]
So, we have:
[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]
This gives:
[tex]P(x > 4.5)= 1 - P(x < z)[/tex]
[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]
Using the z score probability table, we have:
[tex]P(x > 4.5)= 1 - 0.016057[/tex]
[tex]P(x > 4.5)= 0.983943[/tex]
HELP PLEASE
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 121212 mm.
What is the volume of each lollipop?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer:
[tex]V=7.45\times 10^{15}\ mm^3[/tex]
Step-by-step explanation:
The radius of each lollipop is 121212 mm
We need to find the volume of each lollipop. The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]
So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].
Que sucede cuando dividimos un numero entre si mismo
Answer:
no pasa nada
Step-by-step explanation:
espero que eso te ayude:)
Answer:
Cualquier número dividido entre si mismo da como resultado 1
Find the circumference of a circle with a radius of 13.5 mm.
Answer:
84.82
Step-by-step explanation:
Answer: 84.82
Step-by-step explanation: