Complete Question:
Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
Answer:
[tex]b_1 = 12[/tex]
[tex]b_n = b_{n-1} - 2[/tex]
Step-by-step explanation:
Required
Complete:
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
From the question, the first term is 12.
So:
[tex]b_1 = 12[/tex]
Solving further:
[tex]b_2 = 10 = 12 - 2 = b_1 - 2[/tex]
[tex]b_3 = 8 = 10 - 2 = b_2 - 2[/tex]
[tex]b_4 = 6 = 8 - 2 = b_3 - 2[/tex]
Following the above sequence:
[tex]b_n[/tex] can then be calculated as
[tex]b_n = b_{n-1} - 2[/tex]
Please help to solve this problem..
Answer:
63%
Step-by-step explanation:
84%*75% because it is asking for who subscribed to both which is 63%
Find the circumference of a circle with a diameter of 28 meters. Round your answer to the nearest hundredth. *
The answer: C≈87.96m
Can i get help with this pls
Answer:
c = 117
d = 63
e = 63
Step-by-step explanation:
Clark and Lindsey Banks have agreed to purchase a home for $225,000. They make a down payment of 15%. They have obtained a mortgage loan at a 6.5% annual interest rate for 25 years now. What is the mortgage total if they finance the closing costs?
Answer:
Mortgage total is $387,400.11.
Step-by-step explanation:
Thee monthly mortgage monthly payment is first calculated using the following formula:
M = P * (r / (1 – (1 + r)^-n)) …………………………. (1)
Where;
M = monthly payment = ?
P = principal = Purchase price * (1 - Down payment percentage) = $225,000 * (1 - 15%) = $191,250
r = monthly interest rate = annual interest rate / 12 = 6.5% / 12 = 0.065 / 12 = 0.00541666666666667
n = number of months = 25 years * 12 months = 300
Substituting the values into equation (1), we have:
M = $191,250 * (0.00541666666666667 / (1 - (1 + 0.00541666666666667)^-300))
M = $191,250 * 0.00675207161347643
M = $1,291.33
Mortgage total can now be calculated as follows:
Mortgage total = Monthly payment * Number of years * Number of months in a year
Mortgage total = $1,291.33 * 25 * 12
Mortgage total = $387,400.11
Therefore, the mortgage total is $387,400.11.
I need help
someone knows the answer?
An airport parking lot charges a basic fee of $2 plus $1 per half-hour parked. What is the total charge from parking in the lot for 72 hours?
a.
$144
b.
$146
c.
$74
d.
$72
Answer:
Option
B $146
Step-by-step explanation:
Step one:
given data
An airport parking lot charges a basic fee of $2 plus $1 per half-hour
this means that for 30 mins the airport will charge an extra $1
hence for 1 hour they will charge $2
so, let the total charge be y and the number of time be x
Step two:
The expression for the situation is given as
y= 2+2x
for x= 72hours
y= 2+72*2
y=2+144
y= $146
Answer:
the answer it 146
Step-by-step explanation:
What’s an obtuse triangle
Answer:
A triangle where one angle measures over 90 degrees.
Answer:
obtuse triangle is a triangle in which one of the angles
Step-by-step explanation:
Hope that helps
Please help!!!!!!! !!!!!!!
Answer: yuh, c4u531mw1t2t2364n61mw1t2t23m4rw24tw4570ut21nk1n6r3m3mb3rt23md475w23nt237n9t5w4560n3w24tw45709t21nk1n6792792
Step-by-step explanation:
You have just bought a new puppy and want to fence in an area in the backyard for her to roam. You buy 100 linear feet from Home Depot and have decided to make a rectangular fenced in area using the back of your house as a side. What are the dimensions to maximize the area your puppy can roam
Answer:
50 ft * 25 ft
Step-by-step explanation:
Let the length of the rectangular area be x ft and the width of the rectangular area be y ft. You already have 100 ft of material for fencing. Also one side of your house is used in fencing.
The perimeter of the fence needed = x + 2y
Therefore:
100 = x + 2y
x = 100 - 2y
Also the area of the rectangular fence is:
Area (A) = length * breadth
A = xy
Substitute x = 100 - 2y
A = (100 - 2y)y
A = 100y - 2y²
Maximum area is at dA / dy = 0. Hence:
dA/dy = 100 - 4y
100 - 4y = 0
4y = 100
y = 25 ft
substitute value of y in x:
x = 100 - 2y = 100 - 2(25) = 100 - 50 = 50 ft
x = 50 ft
The dimension of the rectangular space is 50 ft * 25 ft
what is 5\6 in decimal form?
0.83333333333333 hope this help
In the US, 21% of households use a clothesline to dry their laundry. Capucine would like to survey
households that use a clothesline, so she plans to contact randomly selected US households until she finds
ones that use one. Let F be the number of households Capucine contacts to reach the first household that
uses a clothesline.
Find the mean and standard deviation of F.
Round your answer
Answer:
mean=4.8
standard deviation=4.2
Step-by-step explanation:
The mean is 4.8, and the standard deviation is 4.2 if the 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
Let's suppose the x is the number of household to get the first that uses a clothesline
And p is the probability of household uses' clothesline
X ~ Geo (p = 0.21)
Mean = 1/p
Mean = 4.76 ≈ 4.8
Variance = q/p²
q = 1-p
Variance = 17.9138
Standard deviation = √Variance
Standard deviation = 4.23 ≈ 4.2
Thus, the mean is 4.8, and the standard deviation is 4.2 if the 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ2
What is 0.62 ÷ 0.82
i keep getting the answer 00.76 but i fon't think that's it.
Answer:
0.75609 repeating or 31/41 as a fraction.
There is no other way to write this decimal.
The bill was $23.75. I decide to leave $28 including the tip. What was the percent of the tip? Round it to the nearest percent.
Answer:
18% I think
Step-by-step explanation:
23.75 x .179 = 4.25125
23.75 + 4.25 = 28
.179 = 17.9%
(2x + 3)^2 - 4(2x + 3) = 0
Answer:
x= -3/2, 1/2
Step-by-step explanation:
actor out the common term 2x+3.
(2x+3)(2x+3-4)=0
2 Solve for x
x= -3/2, 1/2
what if the answer????
area of a square
Type the correct answer in each box.
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
,
). The coordinates of the point that is a reflection of Y across the y-axis are (
,
).
Answer:
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).
The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).
Step-by-step explanation:
Reflection across x-axis
The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.
So,
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).
Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2
Reflection across y-axis
The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.
So,
The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).
Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2
700% of what number is 1,540?
Answer:
Answer wpuld be 220.
help me please I need good grades for a phone!!!
<3
Answer:
Can you show the full problem so that I can help
You make candles by adding 2 fluid ounces of scented oil for every 22 fluid ounces of wax. Your friend makes candles by adding 3 fluid ounces of the same scented oil for every 37 fluid ounces of wax. Whose candles are more fragrant?
Answer:
Your candles are more fragrant. ;)
Step-by-step explanation:
2/22 > 3/37
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 8. Find the standard deviation for the number of seeds germinating in each batch.
Answer:
[tex]SD = 1.296[/tex]
Step-by-step explanation:
Given
[tex]n=8[/tex] --- batches
[tex]p =0.7[/tex] --- probability that a seed germinates
Required
Determine the standard deviation (SD)
This is calculated as:
[tex]SD = \sqrt{np(1-p)}[/tex]
Substitute values for n and p
[tex]SD = \sqrt{8 * 0.7 * (1-0.7)}[/tex]
[tex]SD = \sqrt{8 * 0.7 * 0.3}[/tex]
[tex]SD = \sqrt{1.68}[/tex]
[tex]SD = 1.296[/tex]
The standard deviation is approximately 1.296
Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator. Round your answer to at least four decimal places.
Find the probability that the mean benefit for a random sample of 20 patients is more than $4100.
P (X > 4100) =?
Answer:
0.3632 = 36.32% probability that the mean benefit for a random sample of 20 patients is more than $4100.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
In this question, we have that:
Population: [tex]\mu = 4064, \sigma = 460[/tex]
Sample of 20: [tex]n = 20, s = \frac{460}{\sqrt{20}} = 102.86[/tex]
Find the probability that the mean benefit for a random sample of 20 patients is more than $4100.
This is 1 subtracted by the pvalue of Z when X = 4100. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{4100 - 4064}{102.86}[/tex]
[tex]Z = 0.35[/tex]
[tex]Z = 0.35[/tex] has a pvalue of 0.6368
1 - 0.6368 = 0.3632
0.3632 = 36.32% probability that the mean benefit for a random sample of 20 patients is more than $4100.
Answer the following question by clicking reply, and reply to another student's response. If necessary, leave your answer as a decimal rounded to TWO decimal places. (5 pts for your answer, 5 points for reply to someone else)
Find the distance between each pair of points in the coordinate plane.
1. (0, 0) and (0, 3)
2. (0, 0) and (4, 0)
3. (0, 0) and (4, 3)
4. (0, 0) and (8, 6)
Answer:
1. 3 units
2. 4 units
3. 5 units
4. 10 units
Highlight all the equations on which the point (10,0) lies. 5x+2y=15 2x+4y=20 x+6y=10 3x+3y=13 4x+2y=20 6x+y=50
Answer:
2x+4y=20, x+6y=10,
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLS HELP ME I NEED HELP!!!!
Using the new scale and starting from the origin, where will point A be?
Answer:
Point A will be 2 times it's original value, because the original scale is 3, and the new scale is 6. Therefore using a times 2 rule. So point A will be plotted at (8, 16)
Karen runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answer:
x = 4.363636...
Step-by-step explanation:
Set up a ratio
6 miles : 55 minutes
x miles : 40 minutes
Cross Multiply
55x = 40*6
55x = 240
55x / 55 = 240 / 55
x = 4.363636...
PLEASE HELP ME THANK YOU!
Answer:
62
Step-by-step explanation:
1535 divided by 25 = 61.4
round up to 62
Select all of the trips that would take 2 hours.
A. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart
B. Walk 3 miles per hour to school, which is 1.5 miles away
C. Take a plane going 500 mikes per hour from San Diego to Seattle, which are 1500 miles apart.
Figure ABCD is plotted on a coordinate plane. The figure transforms to create figure A'B'CD'. Which transformation took place
Answer: The answer is a reflection transformation took place
Step-by-step explanation:
Answer:
Translation
Step-by-step explanation:
All of the points on the graph moved equally, which is a translation.
Please mark as Brainliest!!!A car traveled a certain distance at 20 miles per hour. The car then traveled
twice the original distance at 40 miles per hour. If the entire trip lasted four
hours, what was the total number of miles driven?
Answer:
80 I'm pretty sure
Step-by-step explanation:
HELPPPPPPL PLSSSSSS SSSSSSS
Answer:
;)
Step-by-step explanation:
1/25k<225*(1/25k)<(25)*(2)k<50k<25