Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_{n} = \frac{n(a_{1} + a_{n})}{2}[/tex]
In this question:
[tex]a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6[/tex]
We want the sum of the first 37 terms, so we have to find [tex]a_{37}[/tex]
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
[tex]a_{37} = a_{1} + (36)*d[/tex]
[tex]a_{37} = -27 + 36*6[/tex]
[tex]a_{37} = 189[/tex]
Then
[tex]S_{37} = \frac{37(-27 + 189)}{2} = 2997[/tex]
The sum of the first 37 terms of the arithmetic sequence is 2997.
Central Tendency:Question 4
Using the data below, what is the median?
14, 12, 12, 18 , 22 , 20, 17
Select one:
10
18
12
17
Answer:
17
Step-by-step explanation:
14, 12, 12, 18 , 22 , 20, 17
Put the numbers in order from smallest to largest
12, 12, 14,17, 18 , 20 , 22
The median is the middle number
12, 12, 14, 17, 18 , 20 , 22
The middle number is 17
The movie, Avatar, earned $760 million in America theaters and $2.022 billion in foreign theaters. How much did Avatar earn worldwide in theaters?
Answer:
2.782 billion
Step-by-step explanation:
Answer:
= $2.782 billion
Step-by-step explanation:
American theaters = $ 760,000,000
Foreign theaters = $ 2,022,000,000
= $ 760,000,000 + $ 2,022,000,000
= $ 2,782,000,000
= $ 2.782 billion
A number is randomly selected from 10 to 20. X is the event of selecting
a number divisible by 3. Y is the event of selecting a prime number.
a) Draw a Venn diagram to represent the information.
b) Are events X and Y mutually exclusive? Explain.
c) Find P(X) and P(Y).
Answer:
unsure
Step-by-step explanation:
idk
Suppose that an individual has a body fat percentage of 16.7% and weighs 188 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
15.867
lbs or almost
16
lbs.
Step-by-step explanation:
Determine the value of x
Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:
[tex](10 \times x) +0.5 \times x \times 6 = 156[/tex]
[tex]10x +3x=156\\13x=156\\x=12 feet[/tex]
Therefore the value of x is 12 feet
What are the coordinates of point C
Not sure if I’m right or wrong
Answer:
x always comes first so that is 0
then it is y and that is -6 so the answer is (0,-6) aka B
IF i could get brainliest that would be great
Answer: (0, -6)
Step-by-step explanation: When finding the coordinates of a given point, be very careful with your signs.
On the x-axis, left means negative and right means positive and
on the y-axis, down means negative and up means positive.
So to find the coordinates for point C, we start at the origin
which is where the x-axis and y-axis intercept.
So, we go 0 units to the left or right and 6 units down.
So that's (0, -6).
Remember that the first number in the ordered pair represents the x-coordinate or how far we move to the left or right from the origin and the second number represents the y-coordinate or how far we move up or down from the origin.
Does anyone on Brainly know how to do this
Answer:
P'(5, -1)Q'(7, 3)R'(10, 1)Step-by-step explanation:
The translation 5 to the right adds 5 to the x-value.
The translation 1 unit down subtracts 1 from the y-value.
(x, y) ⇒ (x+5, y-1)
P(0, 0) ⇒ P'(0+5, 0-1) = P'(5, -1)
Q(2, 4) ⇒ Q'(2+5,4-1) = Q'(7, 3)
R( 5, 2) ⇒ R'(5+5, 2-1) = R'(10, 1)
Answer:
P'[5,-1], Q' [7,3], R'[10,1]
Step-by-step explanation:
Since the object translates 5 unit to the right and 1 unit down ;it means the value of X will move 5 units positively and the value of y will decrement by 1 of its original value to create the image.
Workers specified as actively disengaged are those who are emotionally disconnected from their work and workplace. A poll surveyed individuals who were either unemployed or who were actively disengaged in their current position. Individuals were asked to classify themselves as thriving or struggling. The poll reported that 62% of the actively disengaged group claimed to be thriving, compared to 42% of the unemployed group. Complete parts a through c below.
a. Are these percentages (probabilities) ordinary or conditional? Explain, by specifying events to which the probabilties refer
A. Ordinary, because the statement gives the probability of one independent event occurring
B. Conditional, because the statement gives the probability of one independent
C. Ordinary, because the statement gives the probability of one event occurring, given that another event
D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.
Answer:
D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.
Step-by-step explanation:
Both of the probabilities provided are conditional since they represent a probability of an event occurring, given that another event has already occured.
The poll gives us that there is a 62% probability of individuals classifying themselves to be thriving, given that they are actively disengaged. It also says that there is a 42% probability of individuals classifying themselfs to be thriving, given that they are unemployed.
The "given that" expression represents the condition that an event has previously occurred, which means that the probabilities shown are Conditional.
What is the range of the function shown in the graph?
A. -infinity
B. -5
C. -infinity
D. -infinity
Answer:
c
Step-by-step explanation:
Answer:
(-♾,♾) I'm pretty sure its like that.
what is the quotient of 5.76×7 and 9.0×10 to the fourth power expressed in scientific notation?
Answer:
4.48 ×10^-4
Step-by-step explanation:
Now putting the sentence into a mathematical relationship (recall that quotient is the result of division). We have;
5.76 ×7 / 9.0×10^4 = 40.32/90000= 4.48 ×10^-4
Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers.
The general format for writing scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one. a may also be expressed as a decimal as in the answer above. a may also be equal to or greater than 10 as the case maybe. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
Which of the following represents the general term for the sequence
Answer:
where is the options
please give options then I will tell you answer
and I am Indian I like to make friends and help others.
Answer:
whats the sequence, whenever you post it or update this one, let me know and ill get back to you as soon as i see it.
for which functions f ' (x) is equal to f^-1 (x)
The table shows the price of strawberries this week at The Produce Place.
Weight (lb)
1
2.
3
4
Price (dollars)
2.50
5.00
7.50
10.00
What is the constant of proportionality? Complete the statement.
The constant of proportionality is
Answer:
The constant of proportionality is 2.50
Step-by-step explanation:
For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.
The constant of proportionality is 2.50 (dollars per pound).
Answer:
its 2.5
Step-by-step explanation:
14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.
The scale balanced when n + 20=50. Suppose the left becomes n+3. How can you change the right side so that n+3=__ is equivalent to n + 20=50?
Answer:
33Step-by-step explanation:
If n + 20 = 50 then n = 30
n + 3 = 33
I'm always happy to help :)
Find the distance between the points (2,5) and (1,-2)
Answer:
distance between the two points is 7.071
On one day in an ice cream store, 48% of the cones they sell are chocolate. What is 48% written as a decimal?
Answer:
48% written as a decimal is 0.48.
Step-by-step explanation:
Conversion of a percentage to decimal:
To realize the conversion of a percentage to decial, we must divide the percentage by 100.
For example, 20% as a decimal is 20/100 = 0.1.
So
What is 48% written as a decimal?
Dividing by 100
48/100 = 0.48
48% written as a decimal is 0.48.
The sum of three consecutive even number is 114. What is the smallest of these numbers?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
We can call the smallest number '2n'
The next number can be '2n + 2' and the last number can be '2n + 4'
So, 2n + 2n + 2 + 2n + 4 = 114
Simplify this to get:
6n + 6 = 114
- 6 from both sides
6n = 108
/ 6 on both sides
n = 18
2(18) = 36
It would be 36
Have A Nice Day ❤
Stay Brainly! ヅ
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The difference of 3 times a number and 15 is no less than the square of the number.
Answer:
3x-15 greater than/= x^2
Step-by-step explanation:
Please answer ASAP!!! Will give Brainliest !!!!!
Answer: D, B, C ,A
A being the greatest
Step-by-step explanation:
Solve the equation 5x + 23 = 2y - 5 for x if
y is 4. Make sure to first solve the equation for
x in terms of y.
X =
Write a numerical expression for the calculation.
Add 79, 139, and 19, and then divide by 27.
Answer:
(79+139+19) / 27
answer is 8.77 repeating if you need it
Step-by-step explanation:
En una academia hay 3 aulas, el aula roja, el aula azul, y el aula negra. Los estudiantes están reportados de la siguiente manera:
. el aula roja tiene el 50% de los estudiantes
. el aula azul, tiene el 30%de los estudiantes.
. el aula negra tiene, tiene el 20% de los estudiantes.
Los hombres están reportados de manera uniforme, pues en cada aula hay un 40% de hombres, si se selecciona estudiante al azar:
a) ¿Cuál es la probabilidad de que sea una mujer del aula azul?
b) ¿Cuál es la probabilidad de que sea hombre del aula negra?
Answer:
To solve this problem, we just have to multiply.
(A) The event: woman in the blue class room is related to 60% of women representation and 30% of students representation in the blue classroom.
Therefore, the chances of choosing a woman student from the blue classroom is
[tex]P= 0.60 \times 0.30 = 0.18[/tex]
Which is equivalent to 18% of probability.
(B)We apply the same process to find the probability of choosing a man from the black classroom.
[tex]P= 0.40 \times 0.20 = 0.08[/tex]
Which is equivalent to 8% of probability.
Therefore, there's a 18% of chances of choosing a woman from the blue classroom, and there's a 8% of changes of chossing a man from the black classroom.Jen bought 40 bracelets and 40 necklaces for $3,040. Mark bought 80 bracelets and 40 necklaces for $3,760.
Use elimination to sole the system of linear equations and determine how much each bracelet cost, x and how much each necklace coast. (x,y)
Answer:
bracelet $18necklace $58Step-by-step explanation:
You are given that ...
40x +40y = 3040
80x +40y = 3760
Eliminate y by subtracting the first equation from the second:
(80x +40y) -(40x +40y) = (3760) -(3040)
40x = 720
x = 18
Using the first equation to find y, we have ...
40y = 3040 -40x
y = 76 -x . . . . . divide by 40
y = 76 -18 = 58
The cost of a bracelet is $18; the cost of a necklace is $58.
Help me I’m stressed with this
I WILL MARK AS BRANLIEST!
Answer:
y = 8x + 3
Step-by-step explanation:
We already know that the slope-intercept of the line is y = mx + b. We know that b = 3 because the line goes through (0, 3), which is the x-intercept. Now to find the slope, or m. The slope of a line is (y₂ - y₁) / (x₂ - x₁). In this case we have (x₁ , y₁) = (-1, -5) and (x₂ , y₂) = (0, 3). Plugging these in we get
(3 - (-5)) / (0 - (-1)) = 8 / 1 = 8. Therefore our answer is y = 8x + 3. Hope this helps!
Cuanto es 32256 dividido para 25 con proceso
Answer:
1290.24
Step-by-step explanation:
This has to do with simple division
Cuanto es 32256 dividido para 25 con process translation was translated In English language. I translated the question to mean 32256 divided by 25
Step one
32256 divided by 25
32256/25 = 1290.24
The answer is 1290.24
What is 3.14 times 10
Point A is a representation of which number on the number line?
A number line has points blank, A, negative 2, B, 0, C, 2, blank, D.
–4
–3
1
4
Answer:
B
Step-by-step explanation:
Answer
-3
Step-by-step explanation:
on edge 2020
There are 31 flavors of ice cream, 2 choices of cones, 1 scoop, 2 scoops, or 3 scoops. How many different choices are there?
Answer:
There are 39 different choices
Step-by-step explanation:
Add the the flavors of ice cream the cones and the scoops.
31+2=33
1+2+3=6
33+6=39
Hope this helps
Giving brainliest for CORRECT awnser.
Answer:
Option A
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