perimeter of paralleogram(p) = 2 ( a + b ) = 2 ( 44 + 66) = 2 × 110 = 220 cm = 220 × 10 = 2200 millimeter
9,15,21 find the 38th term
Answer:
231
Step-by-step explanation:
The pattern is add 6. But it is more easier to use the linear function: 6x+9. Since this starts with 0, we plug in 37 for x instead of 38.
The following table shows the first two years of a three-year amortization schedule. a 3-year amortization schedule. the payments are the same, the principal increases, the interest decreases, and the balance decreases over the 3 years. use the information in the table to decide which of the following statements is true. a. the interest amount increases each month. b. the principal amount decreases each month. c. the payment amount changes each month. d. the payment amount each month stays the same.
The true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
What is an increasing amount?Amount whose value increases from its past value is called increasing amount.
The missing table is attached below.
Checking the validity of each option:
Option a: the interest amount increases each month.We see from the table that interest in each previous month is bigger than next month, for example, in first month, it was $56.33, and in next month, it was $54.99, so interest is decreasing.
Thus, this option is not correct.
Option b. the principal amount decreases each month.The principal amount in any previous month is smaller than the next month principal amount. For example, in first month, the principal amount was $184.96 and in next month, it became $186.33, so the principal amount is increasing.
Thus, this option is not correct.
Option c. the payment amount changes each month. Option d. the payment amount each month stays the same.Option C is false and option D is true. It is because the payment is constant $241.32(iie, it doesn't change, and therefore stays the same) in each of the months.
Thus, the true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
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At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. What is the probability that the light is red? Using the binomial distribution, what is the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light?
a)P(red)=.15,P(exactly3getstopped)=.08
b)P(red)=.15,P(exactly3getstopped)=.97
c)P(red)=.3,P(exactly3getstopped)=.8
d)P(red)=.3,P(exactly3getstopped)=.25
The Probability of red light is 0.3
P(red) = 0.3
The probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light be 0.25.
P(exactly three get stopped by red light)=0.25
The correct option is (d) P(red)=.3,P(exactly 3 get stopped)=.25
What is Binomial distribution?
A binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.
The occurrence,
Red light= 15 sec, Yellow light= 5 sec, Green light= 15 secp= probability of a red light
=[tex]\frac{15}{15+5+30}[/tex]
= [tex]\frac{15}{50}[/tex]
= 0.3
Hence, Probability of getting red light be,
P (red)= 0.3
Now, the Binomial distribution formula,
Probability=( [tex]_r^nC[/tex])[tex]\;p^{r} \;q^{n-r}[/tex]
where, r = number of times for a specific outcome within n trials
[tex]_r^nC[/tex] = number of combinations
p = probability of success on a single trial
q = probability of failure on a single trial
n = number of trial
According to question,
r= 3 (Exactly three)n=8 (eight eastbound)p(red) =0.3q= 1 -p= 1- 0.3
= 0.7
Now using the formula, ( [tex]_r^nC[/tex])[tex]\;p^{r} \;q^{n-r}[/tex]
P( exactly 3 get stopped) = ( [tex]_3^8C[/tex])[tex]\;(0.3)^{3} \;(0.7)^{8-3}[/tex]
= [tex]\frac{8!}{3!(8-3)!}[/tex] [tex](0.027) \; (0.7)^{5}[/tex]
= [tex]\frac{8!}{3!(5)!}[/tex][tex](0.027) \; (0.16807)[/tex]
= [tex]\frac{8 * 7 * 6 }{3 * 2}[/tex] x 0.027 x 0.16807
= 56 x 0.00453789
= 0.25412184
≈ 0.25
Hence, Probability of next eight eastbound so that exactly three will stopped by a red light be 0.25.
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Please please help, I will mark brainliest if correct!!!!!!!
Find the measure of the arc or angle indicated.
A. 108°
B. 36°
C. 72°
Answer: l08
Step-by-step explanation: It's becuase 36 x 3 is 108
m+ 7 = 3 + m+4
A. m =1/4
B. m =-7
C. no solution
D. infinite solutions
Answer:
D. infinite solutionsStep-by-step explanation:
Given equation
m + 7 = 3 + m + 4Simplify it to get
m + 7 = m + 7We have both sides equal, if we simplify further it will result in correct equation
0 = 0Regardless the value of m, the equation remains correct. It means it has infinite solutions
Correct choice is D
Both sides are equal equation has infinite solutions
Option DWhich formula can be used to find the centripetal acceleration of an orbiting object? ac = startfraction the square root of v over t endfraction. ac = startfraction v superscript 2 baseline over t endfraction ac = startfraction v superscript 2 baseline over r endfraction. ac = startfraction the square root of v over r endfraction.
The formula which can be used to find the centripetal acceleration is:
ac = startfraction v superscript 2 baseline over r endfraction
What is centripetalacceleration?This is simply the acceleration of an object moving in a circulation motion.
The centripetal acceleration can be expressed mathematically as
a꜀ = v² / r
Where
a꜀ is the centripetal acceleration v is the velocity of the object r is the radiusWith the above formula, we can conclude that the correct answer to the question is:
ac = startfraction v superscript 2 baseline over r endfraction
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Answer:
(c)
Step-by-step explanation:
I took the test
During second period, Cora completed a grammar worksheet. She got 28 out of 40 questions correct. What percentage did Cora get correct?
Answer:
%70
Step-by-step explanation:
percentage can be found by dividing the values than multiplying the values by 100
Formula: (value/totalvalue)100
plug in the formula with what we have;
28/40(100)
→ First step; dividing our value by total value (28/40)
28/40 = 0.7
→ Second step; multiplying our value by 100 (0.7)
0.7 * 100 = 70
Therefore cora got %70 correct on her grammar sheet
Answer:
70% correct
Step-by-step explanation:
We know that there are 40 questions on her grammar worksheet.
Out of those 40 questions, she got 28 right so 28/40 equals 0.7
The next three terms of the following sequence -2, -1, -1/2, -1/4,… is -1/8, -1/16, -1/32
True
False
Answer:
true. each number is being divided by 1/2
simplify the given expressions and then write your answer in standard form.
1.456×100000000
Answer:
145600000
Step-by-step explanation:
Please mark as branliest !
A rectangular piece of paper with length 30cm and width 12cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value 3.14 for PI, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:88.5cm
Mark me brainliest
Step-by-step explanation:
The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean mu = 43.8 miles per gallon and standard deviation sigma = 5.1 miles per gallon. what percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?
The percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%
One standard deviation above the mean
1 std above mean = M + d = 43.8 + 5.1 = 48.9
One standard deviation below the mean1 std below the mean, = M - d = 43.8 - 5.1 = 38.7
Probability of normal distributionThe probability between one standard deviation below the mean and one standard above the mean = 34% + 34% = 68%
Thus, the percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%.
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Answer:
A, 68%
Step-by-step explanation:
edge
To convert temperature between degrees Fahrenheit to degrees Celsius, we use the formula C = 5/9(F-32).
What is 10° Celsius in degrees Fahrenheit?
A. 40°
B. 45°
C. 50°
D. 55°
Find the measure of <1
Please answer ASAP, in desperate need will mark as brainliest
Answer:
m<1=32
Step-by-step explanation:
Just do 102-38÷2 to get the measure
If x - 10 is a factor of x2 - 8x - 20, what is the other
factor?
Answer:
(x + 2)
Step-by-step explanation:
x² - 8x - 20
consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)
the factors are - 10 and + 2 , since
- 10 × + 2 = - 20 and - 10 + 2 = - 8 , then
x² - 8x - 20 = (x - 10)(x + 2)
Answer:
(×+ 2)
Step-by-step explanation:
just did that trust me
Which of the following is an equivalent expression to the expression a1/3 / a1/4
A. A1/12
B. A7/12
C. 1/1/1/a12
D. 1/7/a12
Answer:
Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]
Step-by-step explanation:
[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]
Simplify the expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]
Transform the Expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]
Calculate
[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]
Answer:
Option A
Step-by-step explanation:
Exponent Law: In exponent division, if base are same, subtract the powers
[tex]\sf \dfrac{a^m}{a^n}=a^{m-n}[/tex]
[tex]\sf \dfrac{1}{3}-\dfrac{1}{4}=\dfrac{1*4}{3*4}-\dfrac{1*3}{4*3}[/tex]
[tex]\sf =\dfrac{4}{12}-\dfrac{3}{12}\\\\=\dfrac{1}{12}[/tex]
[tex]\sf \dfrac{a^{\frac{1}{3}}}{a^{\frac{1}{4}}}=a^{\frac{1}{3}-\frac{1}{4}}[/tex]
[tex]=a^{\frac{1}{12}}[/tex]
Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.
Answer:
No, it will quadruple.
Step-by-step explanation:
If a figure is scaled up by some amount x(by multiplying), while still being the same shape, the surface area will scale up by x^2, and the volume will scale up by x^3.
Which equation best represents the relationship between x and y in the graph?
Answer:
A is the answer
Step-by-step explanation:
Here is one way pick two easy points (-4,0) and (0,-3)
and sub into each of the equations until you find the one that 'fits'
X 38
Question 2
1 pts
Mrs. Lesser has a jar full of p pennies, n nickels, and d dimes. The total value of the coins can be expressed as
0.01p + 0.05n + 0.1d. Which phrase describes the expression that represents the total value of the coins?
Which one of these is correct
the product of three sums
the sum of three products
the product of three products
o the sum of three sums
Answer:
the sum of three products
PLEASE HELP!! 50 POINTS!! If you're not going to help, please don't answer.
Part A
A geometric sequence is where the terms increase by the same ratio.
Example:
7, 14, 28, 56, ...
We start at 7 and double each term to get the next term. The common ratio is 2.
============================================================
Part B
The next step is to subtract the two equations straight down. This will cancel the vast majority of the terms, and allow to solve for [tex]S_n[/tex] to get a fairly tidy formula. Refer to part C for more info.
============================================================
Part C
[tex]S_n = a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\\\\rS_n = a_1r + a_1r^2 + \ldots + a_1r^{n-1} + a_1r^n\\\\rS_n - S_n = \left(a_1r + a_1r^2 + \ldots + a_1r^{n-1}+a_1r^n\right)-\left(a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\right)\\\\S_n(r - 1) = a_1r^n - a_1\\\\S_n = \frac{a_1r^n - a_1}{r-1}\\\\S_n = \frac{-a_1(r^n - 1)}{-(-r+1)}\\\\S_n = \frac{a_1(1-r^n)}{1-r}\\\\[/tex]
For more information about the canceling going on from step 3 to step 4, see the attachment below.
What is the minimum value for g(x)=x2−10x 16? enter your answer in the box.
The function g(x) = x² - 10x + 16 is a quadratic function whose vertex is a minimum, and the minimum value for g(x) = x² - 10x + 16 is -9
How to determine the minimum value?The function is given as:
g(x)=x² - 10x + 16
Differentiate the function
g'(x) = 2x - 10
Set the function 0
2x - 10 = 0
Add 10 to both sides
2x = 10
Divide by 2
x = 5
Substitute 5 for x in g(x)
g(5)=5² - 10*5 + 16
Evaluate
g(5) = -9
Hence, the minimum value for g(x)=x² - 10x + 16 is -9
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can you pls help meeeee look at the picture below the question is there
Answer:
40
Step-by-step explanation:
The angle represented with x is the supplementary the interior with the measure of 160 so x = 20
if it's going to be increased by 20 degrees the new measure of the angle will be 40
A student read a 303 –page book in 7 days. The table shows the total number of pages the student had read at the end
of each day for the 7 days. What was the average number of pages the student read per day from the end of day 2 to the end of day 6
To find the average number of pages the student read from day 2 to day 6, add the total pages in these days and divide by 5 days.
What is the average?This is a very common word used in mathematics and stadistics to refer to the mean value in a set of values.
How to calculate the average from day 2 to day 6?Add the pages the person read these days and then divide by 5 (total of days).
For example:
35 + 45 + 10 +25 + 20 = 135 / 5 = 27 pages
Note: This question is incomplete because the table is missing; due to this, the answer is based on general knowledge.
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30 books = 45kg
45 books = ?
Answer:
67.5 kg
Step-by-step explanation:
To determine the weight of 45 books, we need to determine the weight of one book, using the equation (30 books = 45 kg). This can be done by dividing 30 to both sides of the equation. Therefore,
⇒ 30 books/30 = 45/30 kg⇒ 1 book = 45/30 kg = 3/2 kg = 1.5 kgWe obtained the following equation;
⇒ 1 book = 1.5 kgNow, multiply both sides by 45 to determine the weight of 45 books.
⇒ 1 book × 45 = 1.5 kg × 45⇒ 45 books = 67.5 kgTherefore, the weight of 45 books is 67.5 kg.
Answer:
[tex]\huge\boxed{\bf{45books = 67.5kg}} [/tex]
Step-by-step explanation:
Given:-
30 books = 45kgTo find:-
45 books = ?Ans:-
30books = 45kg
45books = y kg
Let's find 45 books (y)
[tex]\sf \to \frac{30}{45} = \frac{45}{y}[/tex]
[tex]\sf \to 45*45 = 30*y[/tex]
[tex]\sf \to 2,025 = 30*y[/tex]
[tex]\sf \to y = \frac{2,025}{30}[/tex]
[tex]\sf \to y = 67.5kg[/tex]
~therefore 45books = 67.5kg
[tex]\:[/tex]
[tex]\huge\colorbox{red}{BlackPain}[/tex]
What is the geometric mean 2 and 7?
Answer: [tex]\sqrt{14}[/tex]
Work Shown:
[tex]\text{x} = \text{geometric mean of A and B}\\\\\text{x} = \sqrt{A*B}\\\\\text{x} = \sqrt{2*7}\\\\\text{x} = \sqrt{14}\\\\[/tex]
What is the approximate perimeter that
Answer:
30 units
Step-by-step explanation:
b1 = 6
b2 = 10
h1 = 7
h2 ≈ 7
6 + 10 + 7 + 7 = 30 units
Hope this helps!
Sara randomly took one cookie each from two different plates of cookies the first plate has 4 chocolate cookies 5 oatmeal raisin cookies and 3 sugar cookies the second plate had 4 oatmeal raisin cookies 5 sugar cookies and 3 chocolate chip cookies what is the probability that Sara ended up with 2 sugar cookies i need this in a fraction form
The graph of an inequality has an open circle at 8, and the ray moves to the right. What inequality is graphed?
x>8
x>8
x<8
Answer: Hello there!
The open circle means that the set does not contain that extreme, so with this information, you could discard the third and fourth options.
The ray moves right, in the usual notation, the real numbers increase to the right, then, in this case, we are looking at the set of numbers bigger than 8, that does not contain the number 8.
then the inequality graphed is x > 8, and this means that the right answer is the first option.
Answer: x > 8
I also had the same question and got it right
Evaluate e3/2 to one decimal place
Answer:
Assuming you mean e to the power of 3/2, your answer should be 4.5. (4.482 rounded to the tenth.)
Step-by-step explanation:
"e" is simply 10 with an exponent. "e" to the power of 3/2 means [tex]10^{3/2}[/tex].
Plugging this in comes up with approximately 4.482 which can be rounded to 4.5.
Answer:
4.5
Step-by-step explanation:
HELP PLEASE!!!
f(0)=4, f(n)=2f (n-1) write the first six terms of the sequence
Answer:
n
=
1
→
a
1
=
−
2
←
given value
n
=
2
→
a
2
=
−
2
+
4
=
2
n
=
3
→
a
3
=
−
2
+
4
+
4
=
6
n
=
4
→
a
4
=
−
2
+
4
+
4
+
4
=
10
Step-by-step explanation:
brainlist me
A basketball team visited a store. There are 12 team members in all. Each team member bought 2 wristbands and 1 headband. Let w
represent the cost of a wristband and h represent the cost of a headband.
Which two expressions represent the total amount of money spent by the team?
A. 12w + 12h
B. 12w + 24h
C. 24w + 12h
D. 12 (2h+w)
E. 12(2w + h)