Answer:
a(4) = 15/4
Step-by-step explanation:
The general formula for a geometric series with common ratio r and first term a(1) is
a(n) = a(1)*r^(n - 1)
and so, if a(1) = 30 and r = 1/2, we have
a(n) = 30*(1/2)^(n - 1)
and the fourth term is then:
a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4
The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test
Answer:
p = 0.0116
Step-by-step explanation:
We are given;
Population mean; μ = 200 mg
Sample mean; x¯ = 194.3 mg
Standard deviation; σ = 21 mg
Sample size; n = 70
Formula for z-score is;
z = (x¯ - μ)/(σ/(√n))
z = (194.3 - 200)/(21/√70)
z = -5.7/2.51
z = -2.27
From the z-score table attached, the p-value at z = -2.27 is p = 0.0116
Simplify the below Question and solve, based on linear equations in 2 variables
Answer:
x=-1/2
Step-by-step explanation:
hope it helps you
have a great day:)
help pls his it due in 10 min
A. 5(2x+1)
10x+5
B. 34(x-1)
34x-34
C. 9(x+3)
9x+27
Hope it helps
On factorising 14pq + 35pqr. we get?
Answer:
7pq( 2 + 5r)
Step-by-step explanation:
Answer:
7 pq (5r + 2)
Holaa, ¿cómo están?, ¿podrían ayudarme?,es urgente. Necesito saber 3 propiedades de la radicación,si alguien por favor las sabe o al menos sabe 1 o 2 por favor díganme, gracias!
Answer:
(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:
[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:
[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:
[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]
Step-by-step explanation:
Existen tres propiedades fundamentales de la radicación, las cuales se enumeran a continuación:
(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:
[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:
[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]
(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:
[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]
Eight times the sum of a number and 9 equals 7.
Answer:
8(x+9)=7
comment if you need anything else like solving for x
If I have 5.6 moles of bobby pins, how many bobby pins do I have?
You can provide your calculative answer and then ==>show your final answer as well.
Answer:
... False because saturated fatty acids contain only single bond.
I hope this helps ..
Step-by-step explanation:
carrie spends 1 1/4 hours of practicing the piano 3 time a week. How much time does Carrie spend practicing the piano in one week?
3 1/4 hours
3 3/4 hours
4 hours
4 1/4 hours
Answer:
4 hours
Step-by-step explanation:
Because 1×4=4 1/4=25×4
“Deme cambio de un dolar, por favor” dijo el cliente llamado Bob.
– “Lo siento” dijo la señorita Jones, la cajera, después de buscar cuidadosamente en la caja, “pero no puedo hacerlo con las monedas que tengo”.
– “¿Puede entonces cambiarme medio dolar?”. La señorita Jones negó con la cabeza. En realidad, dijo, “¡ni siquiera tengo para cambiar ni veinticinco, ni diez, ni cinco centavos!”
– “¿No tiene ninguna moneda?” preguntó Bob.
– “Oh, sí” dijo la señorita Jones, “tengo $1.15 en monedas”.
¿Cuáles eran exactamente las monedas que había en la caja registradora? Razona la respuesta.
Answer:
Give me change for a dollar, please" said the customer named Bob. - "I'm sorry," said Miss Jones, the cashier, after carefully searching the box, "but I can't do it with the coins I have." - "Can you then change half a dollar?" Miss Jones shook her head. Actually, he said, "I don't even have a quarter, a dime, or a nickel to change!" - "You don't have any coins?" asked Bob. - "Oh yes" said Miss Jones, "I have $ 1.15 in coins." What exactly were the coins in the cash register? Reason for the answer.
Step-by-step explanation:
Answer:
medio dólar, cuarto de cuatro dimes || half dollar, quarter four dimes
help anyone? 5 stars thank you
Answer:
False
True
False
True
False
Step-by-step explanation:
Use corresponding parts of similar polygons
Answer:
Ok first one true second one true and and the third one false and forth one true and fith one false so look at the bottom for better help
Step-by-step explanation:
1. True
2. True
3. False
4. True
5. False
Meghan is 45 inches tall. Which measurement describes Meghan's height?
Answer:
3 feet and 9 inches
Step-by-step explanation:
answer is already there
Answer:
45 inches = 3.75 foot
45 inches = 1.143
Step-by-step explanation:
An inch measurement It is equal to 1⁄36 yard or 1⁄12 of a foot
Metric (SI) units: 25.4 mm
Is 30 a typical test score? If so, explain your reasoning. If not, what is a typical test score?
Answer:
NO
Step-by-step explanation:
Failing a test is atypical for most kids. You have the occasional, but generally failing is something people don't really do. A typical test score varies from 95-70. It really just depends on the person. I sure hope you don't usually score 30's on tests.
stay cold,
brook
Help Please!!!!!!! Need Help!!!
Answer:
925
Step-by-step explanation:
In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:
(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)
One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:
1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)
= 325
Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):
3 × 325 = 975
At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:
975 + ((-2) × 25)
= 975 - 50
= 925
YOU'LL GET MARKED AS A BRAINLYIEST IF YOU ANSWER THIS IN 1-2 MINUTIES. A party room at a restaurant can hold no more than 100 people. Which inequality represents p, the number of people who can be in the room?
A. 0 < p < 100
B. 0 ≤ p ≤ 100
C. p ≥ 100
D. p > 100
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
P must be equal to or less than 100 and having less than 0 people makes no sense
Explain how you use a net to find the surface area of a prism.
Answer:
Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.
Step-by-step explanation:
Answer:
By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.
Step-by-step explanation:
This is edges sample resopnse
Radius = 7in find the area
You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.
Answer:
$11 and $16
Step-by-step explanation:
let x be the cost of a student ticket then an adult ticket is x + 5 , then
3x + 7(x + 5) = 145 , that is
3x + 7x + 35 = 145
10x + 35 = 145 ( subtract 35 from both sides )
10x = 110 ( divide both sides by 10 )
x = 11
Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16
please tell me the answer to this
Answer:
Wow you got s lot of questions wrong
Step-by-step explanation:
I need help Please thank u
A plate is considered a major plate if it covers an area of more than _____________ Kilometers
A - 40,000,000km2
B - 2,000km2
C - 200,000,000km2
D - 20,000,000km2
Answer: I think it could be A but I could be wrong♀️
What is the volume of a cylinder with a height of 9.2 ft and a base with
a radius of 3.9 ft, to the nearest tenth of a cubic foot?
Answer:
439.6093432 cubic foot
Step-by-step explanation:
volume of cylinder= πr²h
putting the value in the formula
Jordan wants to buy a used car that is $14,500. he decided to make a 5% down payment on the car and finance the balance. How much will Jordan be financing for this car?
define key features
Answer:
Wait no I apologize. This is the right one.
Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
help me please? ill mark as brainliested :))
Answer:
go down 5 on the y axis (the one going up and down)
Step-by-step explanation:
since its negative you go down, and since it doesnt give an x axis it doesnt go left or right.
There are eight pints of lemonade an equal amount of lemonade is poured into 15 cups how much is in each cup
Answer: 8/15
Step-by-step explanation:
From the question, we are given the information that there are eight pints of lemonade and that an equal amount of lemonade is poured into 15 cups.
The amount of lemonade that's in each cup will be gotten by dividing the total pints of lemonade by the number of cups. This will be:
= 8 pints / 15
= 8/15 pints of lemonade
In a survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3.
Number 1 2 3 4 5
Frequency 32 96 128 112 32
Answer:
The value of the experimental probability is greater
Step-by-step explanation:
For the theoretical probability;
the probability that a card with the number 3 is selected is 1/5
We consider that the probabilities of each selection are equal, for the theoretical probability
For the experimental, we simply place the frequency of the selection 3 over the total
that will be 128/400 = 8/25
As we know that 8/25 is greater than 1/5
We can conclude that the value of the experimental probability is greater than that of the theoretical
Answer:
I hate math
Step-by-step explanation:
put the quadratic into vertex form and state the coordinates of the vertex
y = x² + 6x - 41
Answer:
The vertex form of the quadratic: y = (x - 1)² + 2
Coordinates of vertex: (1, 2)
Step-by-step explanation:
The vertex form of an equation of the parabola is: f(x) = a(x - h)² + k
where (h, k) is the vertex. So:
x - h = x - 1 ⇒ h = 1
+ k = +2 ⇒ k = 2 -------------------------------------------------------------------------------
You were a big help on another question, so i am here to return the favor! <33
:o)
Whats 9*20(10+20) First Answer Gets Brainliest
Answer:
Your answer would be 5400.
Step-by-step explanation:
You have to follow PEMDAS for this one. You will start within the parenthesis and add 10 and 20 together to get 30. You would then times that by 20 and get 600. Finally, you would mulitply that by 9 and get 5400 as your answer..
Help with number 3 please.
Answer:
The three integers are 11 , 13 , and 15 .
Step-by-step explanation:
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
x+3y=16
3x+y=8
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The attached shows the matrices and the determinants. The value of x is ...
x = ∆₁/∆ = -8/-8 = 1
The value of x in the solution to this system of equations is 1.
Answer:
A: 16 3 8 1 / -8 = 1
Step-by-step explanation:
got 100% on "Cramer's rule" edge 2022 quiz
Find the solutions to x2 = 8.
A. X = +2.2
B. x= 12,4
C. X = +4-2
D. = +4.6
Answer:
x = ± 2√2
Step-by-step explanation:
Assuming "x2" is x^2 or "x squared", the answer can be derived from "square-rooting" both sides.
√ x^2 = √ 8
Then we simplify.
x = ± 2√2
Hope this helps!
Answer:
the answer is A.
Step-by-step explanation:
Don't have time to write the steps now because i am in class but i might later.