Answer:
An explicit representation for the nth term of the sequence:
[tex]f_n=-\frac{1}{2}\cdot \:4^{n-1}[/tex]
It means, option (B) should be true.
Step-by-step explanation:
Given the geometric sequence
[tex]-\frac{1}{2},\:-2,\:-8,\:-32,...[/tex]
A geometric sequence has a constant ratio, denoted by 'r', and is defined by
[tex]f_n=f_1\cdot r^{n-1}[/tex]
Determining the common ratios of all the adjacent terms
[tex]\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4[/tex]
As the ratio is the same, so
r = 4
Given that f₁ = -1/2
substituting r = 4, and f₁ = -1/2 in the nth term
[tex]f_n=f_1\cdot r^{n-1}[/tex]
[tex]f_n=-\frac{1}{2}\cdot \:4^{n-1}[/tex]
Thus, an explicit representation for the nth term of the sequence:
[tex]f_n=-\frac{1}{2}\cdot \:4^{n-1}[/tex]
It means, option (B) should be true.
A package of 6 pairs of insulated gloves costs $52.74. What is the unit price of the pairs of gloves?
The unit price is $ per pair of gloves.
Answer:
8.79
Step-by-step explanation:
all i did was just divide he 52.74 which was the price by 6 which was how many pairs there where
So there are 200 kids in a party and 70 kids leave and they divide another 200 kids
Answer:
are u asking what is 70 divided by 200? cause its 0.35
Step-by-step explanation:
Mason is a 16-year-old sophomore in high school and just started his first job. He wants to open a savings account. Which of these will he need to bring to the local bank branch in order to start an account? *
Answer:
An adult cosigner reason been that he is under 18
Step-by-step explanation:
Based on the information give, since we were told that he is 16 years old in which he want to open a savings account which means that he will need to bring AN ADULT COSIGNER to the local bank branch in order to start an account reason been that he is under 18.
Hence, AN ADULT COSIGNER can either be his parent, his close family member or his friend who will stand for him because he is under 18.
What is 147.15 rounded to the nearest hundredth
Answer:
147.15
Step-by-step explanation:
There ya go, mate.
What is the solution to the system of equations?
y = -5x + 3
y = 1
9514 1404 393
Answer:
(x, y) = (2/5, 1)
Step-by-step explanation:
Substitute for y and solve for x.
1 = -5x +3
-2 = -5x . . . . . . subtract 3
2/5 = x . . . . . . divide by -5
The solution is (x, y) = (2/5, 1).
!!!6TH GRADE!!! MATH DUE IN 15 MIN ***50 POINTS***
Elwin is attempting to read a 480 page book in 28 days. He reads the first 60 pages in 4 days. At this rate, will he finish the book in time? Show your work and/or explain your reasoning.
Answer : No, he won't
Step-by-step explanation:
Given
Target = 480 pages in 28 days
Rate = 60 pages in 4 days
Required:
Determine if he'll reach his target
The rate can be expressed using:
Rate = pages/days
So, we have:
Rate = 60 pages/ 4 days
Multiply the fraction by : that number are on pdf
This can be interpreted as: 420 pages in 28 days
And his target is 480 pages in 28 days
Hence, he wont finish the book at that rate
(hoped it helped)
Answer:
if every 4 days it is 60 days it would have to be
60 pages 4 days
120 pages 8 days
180 pages 12 days
240 pages 16 days
300 pages 20 days
360 pages 24 days
420 pages 28 days
480 pages 32 days
No he will not finish in time
can i get the crown plz
On a test, Alice had 80% of the problems right. If she had
20 problems correct, how many questions were on the test?
Show work please
Answer: she would get 100%
Step-by-step explanation: every correct question u get 5 points so 20 * 5 = 100
Answer:
25
Step-by-step explanation:
80% = 0.80
0.80x = 20
0.80x/0.80 = 20/0.80
x = 25
So there was 25 questions on the test
Can someone click on my name and go to my Math questions and help answer them all. I extremely need help with them. I will Mark Brainliest and be 100% positive with your answers. Thank you and hope you have a wonderful day and weekend . I need two responses for each question to be available to mark brainliest. If you don't know the answer please please don't comment and take points away from student's that can help.
Answer:
ok will do
Step-by-step explanation:
Answer:
Well mate, I can't find the math questions.
Step-by-step explanation:
PLS HELP FIRST TO ANSWER Gets BRAINLEST
A number cube was rolled 70 times. The cube is numbered 1-6. How many times would you expect an even number to be rolled.
Answer:
You would expect an even number to be rolled 35/70 times.
Step-by-step explanation:
Half of a dice is even numbers and half of 70 is 35.
HELP! i'll mark you the brainliest !
Answer:
I'm sure it has to be 90
Step-by-step explanation:
because 90 is a right degree angle, it looks like a 90 degree angle and it's shaped like one so I would say 90
Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standard deviation 8. What is the probability that a sample mean will be greater than 50.8? Round your answer to three decimal places.
Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.
Given that,
Suppose that a random sample of size 100 is to be selected from a population with a mean of 50 and a standard deviation of 8.
We have to determine,
What is the probability that a sample mean will be greater than 50.8?
According to the question,
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
The probability that Sample mean (m) will be greater than 50.8.
Therefore,
[tex]\dfrac{(sample \ mean - population \ mean) \times \sqrt{n}}{standard \ deviation}[/tex]
Where P(m > 50.8)
[tex]Z = \dfrac{50.8 - 50 \times \sqrt{100}}{8}\\\\Z =\dfrac{ 0.8 \times 10 }{8}\\\\Z = \dfrac{0.8 }{0.8}\\\\Z = 1[/tex]
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence, The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.
To know more about Probability click the link given below.
https://brainly.com/question/11234923
Which two estimates is the quotient 345÷8 between
Need help I need to do this right now!
Answer: Okay, well first lets find the quotient 345 ÷ 8:
It is 43. 125, but we're going to simplify it to 43
Now this is the really easy part, so lets find a number greater than 43, which would be 44.
Now that we have that, we need to find a decimal that's lower than 43, which would be 42.
So our numbers would be 44 and 42.
Step-by-step explanation:
Parallelogram or not ?Practice worksheet
Answer:
yes
Step-by-step explanation:
it has 4 sides, and it's oposite sides are parallel, so therefore, it is a paralellogram
Geometry simple question
Step-by-step explanation:
17 is the answer for the question
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate
Answer:
hello your question is incomplete attached below is the complete question
answer :
H0 : u = 21.62 ( Null hypothesis )
H1 : u = 21.62 ( alternative hypothesis )
Step-by-step explanation:
Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62
H0 : u = 21.62 ( Null hypothesis )
H1 : u = 21.62 ( alternative hypothesis )
2. If the radius of a body-centered cubic unit cell is 2.55 x 10-8 cm, what is the length of the edge in pm
Step-by-step explanation:
Given that,
The radius of a bcc unit cell is, [tex]r=2.55\times 10^{-8}\ cm[/tex]
We need to find the length of the edge in pm.
We know that,
For a bcc unit cell, the relation between the radius and the length of the edge is given by :
Edge length,
[tex]a=\dfrac{4r}{\sqrt{3} }\\\\a=\dfrac{4\times 2.55\times 10^{-8}}{\sqrt{3} }\\\\a=5.88\times 10^{-8}\ cm[/tex]
Hence, this is the required soolution.
Select all instances in which the variable described is binomial.
a. A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.
b. A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
c. Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.
d. There are two banking options for customers of ABC Bank, checking or savings. The random variable represents the total number out of 567 customers with a checking account.
e. The probability of drawing an ace in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of ace cards observed.
Answer: a. , c. , d., e.
Step-by-step explanation:
A variable that counts how many times a certain event occurs in a particular number of trials is known as binomial random variable.
For each trial, there exist only two outcomes .
The probability of for each event is the same on each trial.
a. Event has two outcomes with same probability as 0.50, therefore the random variable represents the total number of flips required to get tails is a binomial random variable.
b. Total guidelines are 5.
Here total outcomes are not 2 , it does not meet with the conditions of binomial.
c. The random variable represents the total number of children from this pair of parents with blue eyes has two outcomes (where has or not.)
also, the probability of having blue eyes is same in each trial, so it represents binomial random variable.
d. The random variable represents the total number out of 567 customers with a checking account has two outcomes (checking or savings).
So, it represents binomial random variable.
e. The random variable represents the total number of ace cards observed has two outcomes ( ace or not ace).
So it represents the binomial random variable.
What are the intercepts of the graph.
Answer:
B
Step-by-step explanation:
Identify the y-intercept for y=−4.
(0,_)
Which one has a greater value, , -7 + (-7) or -7 - (-7)? Explain your answer. GIVING BRAINLIEST!!! ❤️
Answer:
-7 - (-7)
Step-by-step explanation:
The correct answer is not -7 + (-7) because adding a negative is basically subtracting. So -7 + (-7) is -14. However, subtracting a negative is basically adding, so -7 - (-7) is 0.
0 > -14
Answer:
-7 - (-7) is the greater number
Step-by-step explanation:
-7 + (-7) = -14
-7 - (-7) = 0
Zero is always greater than a negative number
Any ideas to what the answer is?
Answer:
The value of y = 15
Step-by-step explanation:
Given the sides
2y+255y-20As we know that a parallelogram is a quadrilateral whose opposite sides are parallel.Thus, the equation becomes
5y-20=2y+25
5y-2y = 25+20
3y = 45
y = 15
Thus, the value of y = 15
Click the photo to solve
Answer:
75
Step-by-step explanation:
the value of a triangle is 180 so you add 58 and 47 and you get 105 and the you do 180 - 105 and you get 75
Please help!! Anything helps! If I can, I'll give branliest! :)
Answer:
x=34
Step-by-step explanation:
a^2+b^2=c^2
Plug in the variables you know (a and b) and solve for the one you don't (c)
16^2+30^2=c^2
{5x−2y=43x−4y=−6 What is the answer
Answer:
(2,3)
Step-by-step explanation:
5x - 2y = 4 (1)
3x - 4y = -4 (2)
Multiply equation 1 by 2
10x - 4y = 8 Subtract 2 from the equation on this line
3x -4y = - 6
7x = 14 Divide by 7
x = 14/7
x = 2
5x - 2y = 4
5*2 - 2y = 4
10 - 2y = 4
-2y = 4-10
-2y = - 6
y = -6/-2
y = 3
I may not have read this correctly. Please put those 2 equations on separate lines.
:))))))))))))))))))))))))))))
Answer:
G. [tex]\frac{6}{3}[/tex] = [tex]\frac{h}{18}[/tex]
Step-by-step explanation:
Hey, I'm not very sure but I just want to give it a try, hopefully it helps. If not, I'm so sorry.
They said the line segment creates two similar triangles. This means that 18 is like the base of the triangle (just like how 3 is the base of the smaller triangle) and h is like the height of the triangle (just like how 6 is the height of the triangle). Thus, if you put it as a fractional proportion way, it would be:
[tex]\frac{6}{3}[/tex] = [tex]\frac{h}{18}[/tex]
(6 = h and 3 = 18 but in different sizes, proportion stays the same)
You can even try to solve h using [tex]\frac{6}{3}[/tex] = [tex]\frac{h}{18}[/tex] .
2 = [tex]\frac{h}{18}[/tex]
h = 2 × 18
h = 36
PS: Pls let me know if the answer is correct when you know, I wanna know too :> tks.
8 bars of soap each weighs 4 ounces for $3.98 or six bars of soap each weighs 4.25 Oz each for $10.54 which is the best buy
Answer:
The 8 bar soap is a better deal.
Step-by-step explanation:
What angle is this need help asap
Answer:
This is an acute angle, I accidently said it was a right angle before
How many solutions does the system of equations below have?
y= 3x + 4
2y -8 = 6x
Answer:
infinitely many solutions (infinite solutions)
Step-by-step explanation:
2y - 8 = 6x
+8 +8
-------------------------------
2y = 6x + 8
[tex]\frac{2y}{2}[/tex] = [tex]\frac{6x}{2}[/tex] + [tex]\frac{8}{2}[/tex]
-------------------------------
y = 3x + 4
Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.
Need help plz ASAP plz 10 points
Answer:
i think its b
Step-by-step explanation:
PLSSS HELP ME THIS WOULD MEAN A LOT :((
Answer:
Option D
Step-by-step explanation:
Increasing intervals represent the inputs that make the graph rise, or the intervals where the function has a positive slope. Decreasing intervals represent the inputs that make the graph fall, or the intervals where the function has a negative slope.
The inputs ( − values) that make () rise are
(-2,∞)
