If the nth term of an ap is n-12 find the sum of its first 25 terms
The nth term Tn = n - 12 illustrates an arithmetic progression
The sum of the first 25 terms is 25
How to determine the sum of the terms?The nth term is given as:
Tn = n - 12
Calculate the first term
a = 1 - 12
a = -11
Calculate the second term
T2 = 2 - 12
T2 = -10
Calculate the common difference (d)
d = T2 - a
d = -10 + 11
d = 1
The sum of n terms is then calculated as:
Sn = n/2(2a + (n - 1) * d)
So, we have:
S25 = 25/2(-2 * 11 + (25 - 1) * 1)
Evaluate
S25 = 25
Hence, the sum of the first 25 terms is 25
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Select all the expressions that are equivalent to 40% of 90.
Answer:
36
Step-by-step explanation:
can anyone help me with this question, i dont really understand how to do pls help me
there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.
Use the table to estimate the probability that a randomly -selected male is between 67 and 45 inches tall. Express your answer as a decimal.
Using the normal distribution, it is found that the probability is 0.16.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].
The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:
X = 67:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{67 - 70}{3}[/tex]
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 70}{3}[/tex]
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
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Consider a rectangle with a side length of (2y + 6) and a perimeter of (10y + 4). What is the length of its base?
Select one:
A. 6y - 8
B. 3y - 4
C. 6y - 4
D. 8y - 2
Answer:
D Because other options do not have integration constants
Answer:
The answer is b) 3y-4
Step-by-step explanation:
My Math Problem.
Please Answer This one
Step-by-step explanation:
class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please
Answer:
148°or 4x
Step-by-step explanation:
For a four sided Polygon (quatrilateral) the measure of four angles=360
Therefore,
2x+3x+4x +(x -10)=360
9x+x-10=360
10x-10=360
10x=360+10
10x=370
x=37
Therefore all angles are
74, 111, 148, 27
Therefore, largest angle = 148°
MARK ME AS BRAINLISTWhat is the pattern: April 3, March 31, March 28, March 25?
A) 30 days earlier
B) 1 week earlier
C) 3 days earlier
D) 3 days later
The sum of two numbers is 24. Two times the first number minus the second number is 21
Step-by-step explanation:
x + y = 24
2x - y=21
I'm guessing the question was find both numbers.
3x = 35
x=15
3y = 27
y=9
If $1209 is deposited in an account that pays 8. 2% interest compounded monthly, what is the balance after 26 years? Use: A=P(1+r)t
Round to the nearest cent
Answer:
Step-by-step explanation:
We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.
[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]
A = $10,120.29
Y=5x+6; x=-2 find the value of y for the given value of x
Answer:
-4
Step-by-step explanation:
5 * -2 = -10 + 6 = -4
Kim bought $100 worth of stock and gained $25 per year. Ari bought $400 worth of stock and lost $35 per year. Use x for time and y for stock value. Graph the equations that represent each situation. The first one is done for you. When did Kim and Ari have the same amount of stock value? After _____ years.
(I WILL MARK YOU AS BRAINLIEST! PLEASE PLEASE HELP! THANK YOU <3)
Answer:
5 years
Step-by-step explanation:
by year five they both had the same amount
400-35=365
do that 5 times
225
100+25=125
do that 5 times
225
A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did Latisha ride?
Answer:
Latisha rode 16 rides
Step-by-step explanation:
Look at picture attached. Have a blessed night!
Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.
HELP ASAP
10. A store is selling its display furniture at a discount of 35%. How much would be paid for
a chair regularly selling for $195.95 if sales tax is 8%?
What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over 2 endfraction right-bracket (–[infinity], [infinity])
The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
What is the range of the function?Range of a function is the set of all the possible output values which are valid for that function.
The trigonometry function given in the problem is,
[tex]y = \sin^{-1}x[/tex]
The above function can be written as,
[tex]\sin y = x[/tex]
The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.
[tex]-1\leq x\leq1[/tex]
This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,
[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]
Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
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Answer:
C {-pi/2,-pi/2}
Step-by-step explanation:
A bag contains 16 blue marbles, 12 red marbles, and 12 green marbles.
If Malik randomly draws a marble from the bag (and puts it back) 25 times, how many times should he expect to pull a blue marble?
The random selection of a blue marble is an illustration of probability
You should expected to pull a blue marble 10 times
How to determine the expected blue marble?The given parameters are:
Blue = 16
Red = 12
Green = 12
The total number of marbles is:
Total = 16 + 12 + 12
So we have:
Total = 40
The probability of selecting a blue marble is:
[tex]P(Blue) = \frac{16}{40}[/tex]
When 25 marbles are selected, the expected number of blue is:
[tex]Blue = n * P(Blue)[/tex]
So, we have:
[tex]Blue = 25 * 16/40[/tex]
[tex]Blue = 10[/tex]
Hence, the expected number of blue marbles is 10
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Help due in an hour and I am confused
Answer:
48 degree
Step-by-step explanation:
Angle EFD=Angle EGD=42 degree
Angle EFG=90 degree
Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree
Answer:
m∠DFG = 48°
Step-by-step explanation:
Angles in a semicircle Theorem
The angle at the circumference in a semicircle is 90°
Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°
As the sum of the interior angles of a triangle is 180°
m∠EDG + m∠EGD + m∠DEG = 180°
⇒ 90° + 42° + m∠DEG = 180°
⇒ m∠DEG = 48°
As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°
Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).
The factor the given polynomial are 2,(x+4),(x-5).
We have given that the equation,
[tex]2x^2 -2x -40[/tex]
What is the meaning factor?Factoring a polynomial is expressing the polynomial as a product of two or more factors.
We can factor out a 2.
[tex]2(x^2 - x - 20)[/tex]
Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].
[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]
[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]
Therefore, the factor the given polynomial are 2,(x+4),(x-5).
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The anterior cruciate ligament (acl) is one of the ligaments that help stabilize the knee. surgery is often recommended if the acl is completely torn, and recovery time from the surgery can be lengthy. a medical center developed a new surgical procedure designed to reduce the average recovery time from the surgery. to test the effectiveness of the new procedure, a study was conducted in which 210 patients needing surgery to repair a torn acl were randomly assigned to receive either the standard procedure or the new procedure. based on the design of the study, would a statistically significant result allow the medical center to conclude that the new procedure causes a reduction in recovery time compared to the standard procedure, for patients similar to those in the study? explain your answer
A statistically significant result will allow the medical center to conclude that the new procedure causes a reduction in recovery time.
What is a Statistically significant result?A result is statistically significant if there's a very low probability that it could have occurred by chance.
What this means is that the reduction in the recovery time was truly as a result of the new procedure which is why it will be adopted by the medical center.
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Variables A basic cheese pizza is $6.50 and each additional topping cost $1.50 write the right and paragraphs equation and two variables that represent a total of cost of a single pizza
Answer:
i don't really know but I love pizza
Convert [tex]\frac{7\pi }{4}[/tex] to degrees.
Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?
6 units
12 units
14 units
4 units
Answer: 12 units
Step-by-step explanation:
If you graph them on a graph you count the units between them and that is your anwser.
Answer:
12 units
Step-by-step explanation:
calculate DG using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]
with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )
DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]
= [tex]\sqrt{(-12)^2+0^2}[/tex]
= [tex]\sqrt{144+0}[/tex]
= [tex]\sqrt{144}[/tex]
= 12
The steps below show the incomplete solution to find the value of x for the equation 8x − 3x − 1 = −2 + 16:
Step 1: 8x − 3x − 1 = −2 + 16
Step 2: 8x − 3x − 1 = 14
Step 3: 5x − 1 = 14
Which of these is most likely the next step?
5x = 14
5x = 10
5x = 13
5x = 15
Answer:
5x=15. I hope it can help you a lots. thanks.
Step-by-step explanation:
5x=14+1
5×=14.
A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.
Answer: 25%
Step-by-step explanation: the probability of drawing blue=5/20
divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)
complete the proof, word bank at bottom
Answer:
Step-by-step explanation:
2) definition of angle bisector
4) division property of equality
5) division property of equality
6) substitution property
7) SAS similarity
find the hcf of 6 and 8 by prime factorization method
pls help?
Answer:
2
Step-by-step explanation:
Factorization of the following.
6=3×2×1
8=2×2×8×1
Since, The common factor is 2.This implies that
H.C.F=2
Noah finds some nickels and pennies in his change purse. How many coins does he
have if he has 100 nickels and 120 pennies? How many coins does he have if he has n
nickels and p pennies?
He has 100 + 120 = 220 coins in his purse.
He has n + p coins if he has n nickels and p pennies.
simply 2x + x + x + 2y x 3y x y
Answer:
[tex]4x + 6y^{3} x^{2}[/tex]
Step-by-step explanation:
Simplify
-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution
Answer:
x = -11/2 , y = -1/6
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]
[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]
Hence, x = -11/2 , y = 1/6
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help help help help HELP
car is travelling faster
22 - 18 = 4 meter per second
hope it helps...!!!
Choose 3 values that would make this inequality true. 8n + 4 ≤ 28
Choices:3,6,13,2,5,14,1
Answer:
1,2,3
Step-by-step explanation:
1*8=8+4+12<28
2*8=16+4=20<28
3*8=24+4=28=28