Answer:
[tex]S_{10}=280[/tex]
Step-by-step explanation:
Given that,
[tex]t_n=2n+3[/tex] ...(1)
We need to find the value of [tex]S_{10}[/tex].
Put n = 1 to find the first term.
[tex]t_1=2(1)+3=5[/tex]
Put n = 2 to find the second term.
[tex]t_2=2(2)+3=7[/tex]
Put n = 3 to find the third term.
[tex]t_3=2(3)+3=9[/tex]
Put n = 10 to find the tenth term.
[tex]t_{10}=2(10)+3=23[/tex]
It means we need to find the sum of 5,7,9,.....,23.
The formula for the sum of n terms is given by :
[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]
We have, n = 10, a = 5 and [tex]a_n=23[/tex]
So,
[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]
So, the value of [tex]S_{10}[/tex] is equal to 280.
Eric is a statistician-Viking. He walks into a tavern and makes three statements about the continuity correction. Which are true?
I. You can find single probabilities (such as x - 4) using the normal approximation to the binomial. Do this by finding the probability for the range from.5 below to .5 above the number. (For x 4 you'd find 3.5x 4.5.)
Il. Using the normal approximation, x 4 is the same as x4. Using the exact binomial, x <4 is not the same as x - 4
IlI. The continuity correction removes some of the error introduced when modeling a discrete distribution with a continuous one. The correction increases accuracy by acting as though a number occupies the interval from.5 below it to.5 above it.
A. I only
B. Il only
C. Ill ony
D. I and lll
E. I, I, and III
Answer:
E. I, II and III
Step-by-step explanation:
Continuity correction is a theory in which addition or subtraction is made with the discrete variables. Continuity variable helps to find the single probabilities of the function and it removes some errors that are found in the modelling of discrete distribution.
(2x-4)+(5x-13)+(x+4)
Answer:
the answer is going to be 8x-13
Answer:
8x-13
Step-by-step explanation:
Combine all like terms
2x+5x+x=8x
-4-13+4=-13
8x-13
1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.
Answer:
The equation for line k is [tex]y = -2x + 6[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
When two lines are perpendicular, the multiplication of their slopes is -1.
The equation for line j can be written as y =1/2x-1
Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:
[tex]\frac{1}{2}m = -1[/tex]
[tex]m = -2[/tex]
So
[tex]y = -2x + b[/tex]
It passes through the point (6,-6).
This means that when [tex]x = 6, y = -6[/tex]. So
[tex]y = -2x + b[/tex]
[tex]-6 = -2(6) + b[/tex]
[tex]b = 6[/tex]
So
[tex]y = -2x + 6[/tex]
Find the value of x.
92°
36°
Answer: the answer is 7°
Step-by-step explanation:
A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?
Answer:
15 cm
Step-by-step explanation:
The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.
If we plug in 10 for W, we get this:
2L + 2(10) = 50 <-- the perimeter
2L + 20 = 50
2L = 30
L = 15
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
Can you please help im not good at math as you can see
Answer:
The answer to the question provided is letter c.
Step-by-step explanation:
[tex] \frac{1 \times7}{2 \times 7} = \frac{7}{14} [/tex]
The following number belongs to which set of numbers 1.6 (the is a repeating decimal by the way)
A.Irrational number
B.Rational number, integers, and whole numbers
C. Rational numbers, and integers, but not whole numbers
D. Rational numbers, but not integers or whole numbers.
Answer:
Hope this helps oWO
Step-by-step explanation:
Federal courts hear cases involving the constitutionality of a law, cases involving the laws and treaties of the U.S. ambassadors and public ministers, disputes between two or more states, admiralty law, also known as maritime law, and bankruptcy cases. Federal courts generally have exclusive jurisdiction in cases involving (1) the Constitution, (2) violations of federal laws, (3) controversies between states, (4) disputes between parties from different states, (5) suits by or against the federal government, (6) foreign governments and treaties, (7) admiralty and ...
compare the value of the 3 in 340,500 to the value of the 3 in 3,160,00
Answer:
Step-by-step explanation:
3 in 340,500 is 300,000
and 3 in 316 ,000 is 300,000
so 300,000-300,000 = 0
solve and graph x-2y>_4
Answer:
hope this helps! (OwO)/
Step-by-step explanation:
can anyone answer
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture
Yall don't like me Ima cry
Answer:
180 grams
Step-by-step explanation:
grams of dark chocolate= 200 % cocoa =60%
Grams of milk chocolate: 200 % cocoa=30%
Amount of cocoa in mixture:
(proportion of milk chocolate+ dark chocolate)
(30% of 200)+60% of 200)
(0.3* 200)+(0.6 *200)
60+120
=180 grams
Answer:
[tex]45\%[/tex]
Step-by-step explanation:
The 200g mixture of dark chocolate is 60% cocoa, meaning there are [tex]200\cdot 0.6=120[/tex] grams of cocoa in this mixture.
The 200g mixture of milk chocolate is 30% cocoa, meaning there are [tex]200\cdot 0.3=60[/tex] grams of cocoa in this mixture.
When mixed together there are a total of 200+200=400 grams of content. Of these 400 grams, 120+60=180 of them are cocoa.
Thus, the concentration of cocoa in the resulting mixture is:
[tex]\frac{180}{400}=\fbox{$45\%$}[/tex]
Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?
Answer:
$21.15
Step-by-step explanation:
6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90
15/5 = 3 then 3 x 4.75= 14.25
14.25 + 6.90 = 21.15
Hope this helped <3
Answer:
$21.15
Step-by-step explanation:
Total Folder Amount: $1.15 • 6 = $6.90
Total Pen Amount: $4.75 • 3* = $14.25
*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*
$14.25 + $6.90 = $21.15
cuanto es 2/15 ÷ 4/5=
Answer:
2/15 * 5/4= 10/60 simplify 1/6
Step-by-step explanation:
:)
Answer:
.2
Step-by-step explanation:
Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.
Answer: For 25% put the smallest one and for 60% put the one with blue shaded over six lines not included 0 line the small lines bye
Step-by-step explanation:
no no no no no
=======================================================================================
Answer:
I do not understand
Step-by-step explanation:
QUESTIONS: SOLVE FOR X
please help if you can !
please don't comment just to comment if its not gonna help me i really need help.
Find the slope and y-intercept.
Answer:
slope is four and the y-intercept is 1/5
answer quick will give 20 points
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
please help does anyone know this?!!!
Answer:
b c a
Step-by-step explanation:
b c a;b c a; b c a; b c a; b c a
Answer:
Step-by-step explanation:
THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point
y-2x=7, simply add 2x to both sides
y=2x+7
The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.
THe third one has one solution
PLease help will mark brainliest !!!!!
Addy bough 4 frozen pizzas for the same price each. Her total cost was $12. What was the cost of each pizza.
x + 4 = 12
Answer:
The answer is 3.
You have to do $12 divided by 4 pizzas which is 3. This means that each pizza cost $3.
Hope this helps.
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
5 less than a number is -2. What is the
number? Write on
equation and solve.
Answer:
3 - 5 = -2
Step-by-step explanation:
Cause 3 is lower than 5
And since 5 - 3 = 2
If it's the other way around it's a negative number
Answer:
3
Step-by-step explanation:
Start from 0 and do 3 minus 5 which gets you -2
please help this is due in half an hour
Answer:
Can you show the whole question?
Answer:
The other endpoint is (-1, 1).
Step-by-step explanation:
What we know is one endpoint is at (5, -9). The midpoint is at (2, -4).
So, to find the slope, find (yB - yA)/(xB - xA)
(-4 -(-9))/(2 - 5)
(-4 + 9)/(2 - 5)
5/-3
The slope is -5/3.
Knowing this, subtract 3 from the midpoint's x, and add 5 to the midpoint's y.
((2 - 3), (-4 + 5))
The other endpoint is at (-1, 1).
The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at the school?
Answer: 37 times 3 is 111. So there are 111 junior at that school.
1/3 times the # = the answer.
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(1) = -(x + 1)(0 - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)
Pls help
Given:
Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,
[tex]f(x)=-(x+1)(x-3)(x+2)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex]-(x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]
[tex]x=-1,x=3,x=-2[/tex]
So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get
[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]
[tex]f(0)=-(1)(-3)(2)[/tex]
[tex]f(0)=-(-6)[/tex]
[tex]f(0)=6[/tex]
So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
What's the difference between 5.4 x 10-7 and 7.1 x 10-8? Express your answer
using either standard notation or scientific notation.
Answer:
.76 x 10 or 7.6 x 10^0
Step-by-step explanation:
divide coefficients and subtract exponents
5.4 / 7.1 = .76
10^-7 / 10^-8 = 10
Which point is located at (1, 2)?
5
A
4
3
2
1
-5-4-3-2
4
9
-2
3
-4
45
D
ОВ
Answer:
A
Step-by-step explanation:
The cost of renting a boat is $51 for 4 hours. Which of the following is not an equivalent rate? Give the letter of your answer and justify your answer. Show your work.
A. $76.50 for 6 hours
B. $38.25 for 3 hours
C. $89.25 for 7 hours
D. $63.00 for 5 hours
Answer:
D. $63.00 for 5 hours
Step-by-step explanation:
The actual cost to rent the boat per hour is $12.75 when you multiply all the other hours by 12.75 it equals the correct amount except for (D) 5 ×12.75 = 63.75