Answers
Answer:
[tex]S_{25}=555[/tex]
Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.
[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]
In the same AP, the 19th term is 7.8 i.e.
[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]
Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Put n = 25 and respected values,
[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]
Hence, the sum of first 25 terms of the AP is equal to 555.
Related Questions
a clothing store is having a sale on tshirts. the first tshirt you buy costs $7, and every additional shirt costs only $5
Answers
Answer:
12
Step-by-step explanation:
bc I added 7+5 equals 12
6. Select the figure that can be formed when a cube is cut by a plane parallel to its base.
A. line
B. square
C. trapezoid
D. triangle
7. Select all figures that can be formed when a rectangular pyramid is cut by a plane parallel to its base.
A. point
B. rectangle
C. trapezoid
D. triangle
8. This is a cylinder.
Select all figures that can be formed by a vertical slice perpendicular to the bases of the cylinder.
A. circle
B. line segment
C. rectangle
D. oval
9. A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of grass will the family need if they want to cover the area where the tree once was?
A. 22 ft²
B. 39 ft²
C. 44 ft²
D. 154 ft²
Answers
Answer:
Step-by-step explanation:
6. Cross-section is a square.
:::::
7. Point and rectangle
:::::
8. line segment and rectangle
:::::
area of hole = π3.5² = 12.25π ≅ 39 ft²
Please Im stuck. One box contains 24 bottles of soda. Each bottle contains 0.5 dl. Alex celebrates his birthday and 1/3 of the bottles are drunk. A) How many bottles are drunk? B) How many liters of soda are drunk in total on the birthday?
Answers
Answer:
(a) 8 bottles(b) 0,4 LitresStep-by-step explanation:
There are
24 bottles/box0,5 decilitres/bottle = 50mL/bottle = 50 × 24 bottles = 1200mL = 1.2 Litres1/3 of the bottles are drunk = 1/3 × 24 = 8 bottles are drunk (a)8 bottles × 50 mL = 400 mL = 0,4 Litre____________________
#IndonesianPride - kexcvi
Math help plzzhxbcbfb
Answers
Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel.1 A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the length of gribbles, a margin of error for this estimate (with 95% confidence), and a 95% confidence interval.
Answers
Answer:
The best estimate for the length of gribbles is of 3.1 mm.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
The 95% confidence interval is between 2.9 mm and 3.3 mm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
Best estimate for the length of gribbles
The best estimate is the sample mean, that is 3.1 mm.
Margin of error:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{0.72}{\sqrt{50}} = 0.2[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
Confidence interval:
The lower end of the interval is the sample mean subtracted by M. So it is 3.1 mm - 0.2 mm = 2.9 mm
The upper end of the interval is the sample mean added to M. So it is 3.1 mm + 0.2 mm = 3.3 mm
The 95% confidence interval is between 2.9 mm and 3.3 mm.
X = y-2
2x-y=2
X=
Y=
Answers
Answer:
y =4 and x=6 hope it may help u
(7x^2- 3y)^2 simplify
Answers
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
find the missing value
Answers
Answer:
I have made it in above picture
Which dashed line is an asymptote for the graph
Answers
A person places $51200 in an investment account earning an annual rate of 5.4%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.
Answers
Answer:
7,078,912 cents
Step-by-step explanation:
Given the formula for calculating the value of the account in t years as;
V = Pe^rt
P is the principal initially invested
e is the base of a natural logarithm,
r is the rate of interest
t is the time
Given
P = $51200
r = 5.4% = 0.054
t = 6years
Substitute
V = 51200e^(0.054)(6)
V = 51200e^(0.324)
V = 51200(1.3826)
V = $70,789.12
V = 7,078,912 cents
hence the amount in the account after 6 years to the nearest cent is 7,078,912 cents
Answer:
Step-by-step explanation:
combine like terms in the expression 10g+14k-3k-8g-10k-2g
Answers
Find the value of x. Round to the nearest tenth (one decimal place)
19
21
Answers
Using the Pythagorean theorem:
X = sqrt(21^2 - 19^2)
X = sqrt(441 - 361)
X = sqrt(80)
X = 8.944
Rounded to the nearest tenth = 8.9
Answer:
x = ~8.9
Step-by-step explanation:
a^2 + b^2 = c^2
c is the long side
a and b are the other two shorter sides
this means
x^2 + 19^2 = 21^2
x^2 + 361 = 441
x^2 = 441- 361
x^2 = 441- 361
x^2 = 80
square root of 80 = ~8.9
x = ~8.9
Hi pls help me thanks :)
Answers
Answer:
B
Step-by-step explanation:
Need help with this asap!!
Answers
Answer:
≈ 53.7° (Option 3)
Step-by-step explanation:
In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.
Length of side opposite to angle 'x' = 15 cm
Length of side adjacent to angle 'x' = 11 cm
Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.
[tex]=> \tan x = \frac{15}{11}[/tex]
Using inverse tan function , lets find x.
[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°
Are lines JN and KM parallel?
Answers
Answer:yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
if you remove the triangle, they will continuously go on both sides with one on the other.
The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm? Select all that apply.
a Steller Stover's Farm 3 cows for 5 chickens
b Awesome Ansel's Farm 1 cow for every 5 chickens
c Happy Hall's Farm 1 cow for every 3 chicken
d Jumping Jack Jones Farm 3 cows for every 8 chickens
Answers
The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.
What is the value of this expression? {18÷(2+4)}+3×2 Enter your answer in the box.
Answers
Answer:
The value of the expression is 78
Step-by-step explanation:
Answer:
Step-by-step explanation:
{18÷(2+4)}+3×2 = {18÷6}+3×2
= 3+3×2
= 3+6
= 9
4 + (7-5)^4 on an iready lesson can someone help ?? the four is a exponet
Answers
Which of the following polygons is not a regular polygon?
Answers
Answer:
b
Step-by-step explanation:
polygons is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit
Answer:
rectangle is the answer can i get a brainlist
Step-by-step explanation:
What is the area of triangles in square yards
Answers
Answer:
37.625 square yards or 37⅝ square yards
Step-by-step explanation:
Area of the triangle = ½*base*height
Where,
base = 10¾ yd = 10.75 yds
height = 7 yds
Substitute the value of each variable into the equation:
Area = ½*10.75*7
Area = 37.625 square yards or 37⅝ square yards
Please help me with this question
Answers
FCG & GCF
1) Solve quadratic equations by factoring.
2x^2 + 5x - 12 = 0
Answers
Answer:
[tex] x = - 4, \: \: x = 1 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + 5x - 12 = 0 \\ \\ 2 {x}^{2} + 8x - 3x - 12 = 0 \\ \\ 2x(x + 4) - 3(x + 4) = 0 \\ \\ (x + 4)(2x - 3) = 0 \\ \\ x + 4 = 0, \: \: 2x - 3 = 0 \\ \\ x = - 4, \: \: x = \frac{3}{2} \\ \\ x = - 4, \: \: x = 1 \frac{1}{2} [/tex]
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
This is the correct graph but can it fit on your graph?
Step-by-step explanation:
Answer:
is in the photo
Step-by-step explanation:
hope this helps
it a tets please help it due today
Answers
Branliest to correct answer no guessing explain how you solved it
Answers
Answer:
5,040 play list arrangements. its very complexe and will hurt to type srry
Step-by-step explanation:
I need help with this please
Answers
Answer:15
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
9×3=12
12×3=15
So the answer is 15
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answers
Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that [tex]\mu = 5.11, \sigma = 0.07[/tex]
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = -1.34*0.07[/tex]
[tex]X = 5.02[/tex]
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = 1.34*0.07[/tex]
[tex]X = 5.2[/tex]
The diameter that separates the top 9% is 5.2 millimeters.
Find the value of x
Please help
Answers
80/60 = (80 + 2x)/87
4/3 = (80 + 2x)/87
3 . (80 + 2x) = 4 . 87
240 + 6x = 348
6x = 348 - 240
6x = 108
x = 18
Answer:
x = 18Step-by-step explanation:
60 / 27 = 80 / 2x ---- ( by B.P.T )
2x = 27 × 80 ÷ 60
2x = 36
x = 36÷2
x = 18
f^-1(x)= -3+^3 squareroot x+4 is the inverse function of f(x)= (x-3)^3 +4 true or false
Answers
Help me please!
Two-thirds of the students in Hannah's homeroom plan to do some volunteering this summer. Of these students,3/5 plan to volunteer at the community center. What fraction of students in Hannah's homeroom plan to volunteer at the community center this summer.
I would rather not have the answer in a file thank you!
Answers
2/3 are volunteering.
3/5 are volunteering at the community center.
Multiply the amount from the community center by the total volunteering:
2/3 x 3/5 = (2x3) / (3/5) = 6/15 this can be reduced to 2/5.
The answer is 2/5