Answer:
[tex]\huge\boxed{\bf\:Equation: a_{72} = 4 + (72 - 1)3}[/tex]
[tex]\huge\boxed{\bf\:a_{72} = 217}[/tex]
Step-by-step explanation:
Let the series be: 4, 7, 10, 13,.....
Given,
First term (a) = 4Common difference (d) = [tex]a_{2} - a_{1} = 7 - 4 = \bf\:3[/tex]Number of terms (n) = 72[tex]72^{nd}[/tex] term of the series ([tex]a_{72}[/tex]) = ?We know that,
[tex]\bf\:a_{n} = a + (n - 1)d[/tex]
Equation for the [tex]72^{nd}[/tex] term of the series,
[tex]\boxed{\bf\:a_{72} = 4 + (72 - 1)3}[/tex]
By using this formula & substituting the values,
[tex]a_{72} = 4 + (72 - 1)3\\a_{72} = 4 + (71)3\\a_{72} = 4 + 213\\\boxed{\bf\:a_{72} = 217}[/tex]
•°• The [tex]72^{nd}[/tex] term of the series is 217.
[tex]\rule{150pt}{2pt}[/tex]
Triangle 1 and Triangle 2, shown below, are similar triangles.
Which proportion can be used to find side x in Triangle 1?
A. 6/9 = x/6
B.4/6 = x/10.5
C.4/6 = 10.5/x
D. 9/4 = 6/x
Answer:
option c is the correct answer of given statement
Answer: it c
Step-by-step explanation:
If I get a 100 on one assingment and a 57 on the other, what is my average of the assignments?
Answer:
78.5
Step-by-step explanation:
Add the two scores, and then divide this sum by 2 to obtain the average score:
[tex] \frac{100 + 57}{2} = \frac{157}{2} = 78.5[/tex]
Answer:
78.5
Step-by-step explanation:
To calculate the average of the assignments, you must find the mean of the assignments.
Mean = sum of the items divided by the number of items
[tex]\frac{100+57}{2}[/tex]
[tex]=\frac{157}{2}[/tex]
[tex]=78.5[/tex]
Cant find the answer
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
what is 3.486 round to the nearest hundred
Answer:
3.49
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
because the number is 3.486 and 8 is more close to the next number which is 50 so is 3.50 or 3.5
Walt collected random samples of data on the number of people who eat at who
restaurants daily. He created two dot plots to represent his data. Find the degree of
overlap and the mean of the two data sets. Write a paragraph, using the RACE
format, explaining how you got the answer.
The mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.
What is mean of data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.
Walt collected random samples of data on the number of people who eat at who restaurants daily. He created two dot plots to represent his data.
Restaurants A- 10,15,16,18,18,18,19,19,20,20Restaurants B- 10,13,15,15,15,16,17,18,19,20Mean of Restaurants A is,
[tex]X_A=\dfrac{10+15+16+18+18+18+19+19+20+20}{10}\\X_A=\dfrac{173}{10}\\X_A=17.3[/tex]
Mean of Restaurants B is,
[tex]X_A=\dfrac{ 10+13+15+15+15+16+17+18+19+20}{10}\\X_A=\dfrac{158}{10}\\X_A=15.8[/tex]
Degree of overlap is the difference of both the means.
[tex]DO=X_A-X_B\\DO=1.5[/tex]
Thus, the mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.
Learn more about the mean of the data here;
https://brainly.com/question/14532771
#SPJ1
translate the triangle then enter the new coordinates
Answer:
1,(8)
Step-by-step explanation:
x = 3-2=1
y = 4+4=8
Therefore, 1,8
A cylinder with height,h, and radius,r, has a volume of 1200pi cubic units. What could be the dimensions of this cylinder?
Answer:
h = 12 units, r = 10 units
Step-by-step explanation:
[tex]v=\pi (10)^{2} (12)=\pi (100)(12)=1200\pi[/tex]
Hope this helps
What is the area of the following circle?
Answer:
78.5 or 78 1/2 units
Step-by-step explanation:
The formula for the area of a circle using diameter is 1/4*pi.*d to the second power. Plug it in, and you get 78.5 or 78 1/2 units.
#6 You want to find out what type of pet is most commonly adopted from the shelter. Over the course of a month, you randomly survey 40 people who have just adopted a pet. Of those 40 people, 23 adopted dogs. If about 4,500 people adopt pets each year, about how many can you predict will dogs?
Answer:
we predict 2,587 persons will adopt dogs
Step-by-step explanation:
out of 40 persons 23 adopt dogs
Then
out of 40×25 persons 23×25 adopt dogs
Then
out of 1000 persons 575 adopt dogs
Then
out of 1000×4.5persons 575×4.5 adopt dogs
Then
out of 4,500 persons 2,587.5 adopt dogs
Method 2 :
Let x Ben the number of persons we predict they will adopt dogs:
Here we have a proportional relationship:
Then
[tex]\frac{4500}{40} =\frac{x}{23}[/tex]
[tex]\Longleftrightarrow x = \frac{4500\times 23}{40} =2587.5[/tex]
Which Is Most Likely To Weigh 4 Tons?
A A Watermelon
B A Man
C A Clothes Dryer
D A Helicopter
(30 points)
The most likely object to weigh 4 tons will be Helicopter
The correct option is (D) Helicopter
What is ton in kg?1 ton = 1000 Kg
First, a watermelon weigh= 0.001 to 0.003 tons(i.e., 1-3 Kg)
then, A man weigh= 0.09 to 0.1 tons (i.e., 90 - 100kg)
A clothes dryer weigh= 0.07 to 0.09 tons (i.e., 70- 90 Kg)
lastly, a Helicopter weigh= 0.275- 56 tons (i.e., 275 - 56,000 Kg)
The closest is Helicopter weight 0.275- 56 tons
Learn more about pounds here:
https://brainly.com/question/1721715
#SPJ1
A student solved the equation x2=132 to find the length of the diagonal of a square in centimeters which measurement is closer to x,the length of the diagonal of this square in centimeters.
The length 11 cm is closer to the length of the diagonal of this square in centimeters.
How to determine the value of x?The equation is given as:
x^2 = 132
Take the square root of both sides
x = √132
Evaluate the square root
x = 11.49
Approximate
x = 11
This means that 11 is closer to the length of the diagonal of this square in centimeters.
Read more about diagonals at:
https://brainly.com/question/10187910
what expressions are equvilent to 9x^{2} - 256
Answer:
(3x + 16)(3x - 16)
Step-by-step explanation:
[tex]9 {x}^{2} - 256 \\ \\ = {(3x)}^{2} - {(16)}^{2} \\ \\ = (3x + 16)(3x - 16)[/tex]
A 30% discount on a
computer is $90. What was the
cost of the computer before the
discount?
Answer: $300 is the cost before the discount
Step-by-step explanation:
Divide $90 by 30% which = $300.
Instructions: Find the measure of the indicated angle.
Answer:
x = 35
Step-by-step explanation:
As it is an isosceles triangle, two sides are equal (that's why we took two x)
2x = 180- 110
2x = 70
x = 70/2
x = 35
I hope my answer helps you.
The measure of the indicated angle is 35 degrees.
What is the angle sum property?
A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
We are given that;
Angle = 110degree
Now,
x+x+110=180
2x+110=180
2x=180-110
2x=70
x=70/2
x=35
Therefore, by the angle sum property of triangles the answer will be 35degree.
Learn more about the triangles;
https://brainly.com/question/2773823
#SPJ7
Which best describes word choice in an academic paper? it’s the internal structure, sequence of ideas, and unity of paragraphs. it’s the transitions that connect one body paragraph to another. it’s the rhythm and flow of the language, aided by sentence variation. it’s the use of precise, rich, and colorful language to convey ideas.
The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.
What is an academic paper?
An academic paper is a research work that aims at conveying ideas to a limited group of experts in a given field. As a result of that, the structure of the paper must be such that it could be recieved by a professional auidience.
The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.
Learn more about academic paper: https://brainly.com/question/2710857
Answer: D
Step-by-step explanation: On EDG
what is 10 = 0.860(7) + 3.302
Hey there!
0.860(17) + 3.302 = 10
= 0.86(17) + 3.302
= 14.62 + 3.302
= 17.922
Thus, your answer is: FALSE because
17.922 ≠ 10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
this is false btw
Step-by-step explanation:
u should give e brainiest, pls
It is common knowledge that a fair coin lands heads up 50% of the time and tails up 50% of the time. For fair coins, a probability of 0 is assigned to the coin landing on its edge. But what if several coins were glued together? A teacher claims that if 10 pennies were glued together and flipped many times, the penny stack would land on heads 25% of the time, tails 25% of the time, and on its edge 50% of the time. To investigate this claim, a student glues 10 pennies together and flips the stack 200 times. The student would like to know if there is convincing evidence that the distribution differs from what the teacher claimed. What are the appropriate hypotheses?
H0: The distribution of flips is 25% heads, 25% tails, and 50% edge.
Ha: The distribution of flips is not 25% heads, 25% tails, and 50% edge.
H0: The distribution of flips is not 25% heads, 25% tails, and 50% edge.
Ha: The distribution of flips is 25% heads, 25% tails, and 50% edge.
H0: The penny stack will land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times.
Ha: The penny stack will not land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times.
H0: The penny stack will not land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times.
Ha: The penny stack will land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 tim
Answer:
The penny stack will land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times
Step-by-step explanation:
25% of 200=50
50% of 200=100
So, the coin will land 50 times on heads, 50 times on tails and 100 times on edge
Answer:
It's A on EDGE
Step-by-step explanation:
A Type II error is committed if we make A. an incorrect decision when the null hypothesis is false B. a correct decision when the null hypothesis is false C. a correct decision when the null hypothesis is true D. an incorrect decision when the null hypothesis is true
Answer: A. an incorrect decision when the null hypothesis is false
Explanation:
A type I error is when we reject the null, but the null was true.
A type II error is when we fail to reject the null, but the alternative was true.
Refer to the chart below to help organize things.
Need help with this homework question
if i have 50 carrots and x potatos how do i get 520 please help me i don't know the x
Answer:
470 potatoes or toes
Answer:
X= 470
Step-by-step explanation:
You Just subtract 520 - 50
Hope this helps ^o^
What is 24/10 simplified
Answer:
2.4
Step-by-step explanation:
24 divided by 10 is equal to 2.4
Answer:
Do you want it in decimal or fraction cause heres fraction ~12/5~ and as a decimal its ~2.4~
Step-by-step explanation:
A rectangle has an area of 48 square feet and a length of 12 feet
Which answer choice shows the correct way to find w the width of the rectangle?
Answer:12 x w = 48
Step-by-step explanation:
the width is 4
Answer:
w=4
Step-by-step explanation:
length is 12
area is 48
:) don't know how to explain so i'll just put the formula thing
w=a/1=48/12=4 also /=fraction
What is the end behavior of f(x)=5x^3-2x+5
Answer:
A
Step-by-step explanation:
positive leading coefficient means increasing
Find the surface area of the cylinder. Type an exact answer in terms of pi.
Answer:
=150.79644...cm²
~150cm²
Step-by-step explanation:
cylinder surface area = 2 pi r h + 2 pi r²
Answer:
24π cm²
Step-by-step explanation:
Radius (r) = 3 cm
Height (h) = 5 cm
Surface area of cylinder
= 2πr (h + r)
= 2 × π × 3 (5 + 3)
= π × 3 (8)
= π × 24
= 24π cm²
______
#Rosé
Hope it helps ⚜
The sum of two numbers is 21. The difference of the two numbers is 1. What are the two numbers?
Answer:
10 and 11
Step-by-step explanation:
10+11=21
11-10=1
1 apart, and they add to 21
A student wrote the following equations:
3y + 6 = 2x
2y - 3x = 6
The lines represented by these equations are
(1) parallel
(2) the same line
(3) perpendicular
(4) intersecting, but not perpendicular
Using linear function concepts, it is found that the two lines can be classified as:
(4) intersecting, but not perpendicular.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The slope defines if the lines are parallel or perpendicular, as follows:
If they are parallel, they have the same slope.If they are perpendicular, the multiplication of the slopes is of -1.If the multiplication of -1, and the slopes are different, they are intersecting.In this problem, the lines in slope-intercept formula are:
[tex]y = \frac{2}{3}x - 2 \rightarrow = m = \frac{2}{3}[/tex]
[tex]y = \frac{3}{2}x + 3 \rightarrow m = \frac{3}{2}[/tex]
Then:
[tex]\frac{2}{3} \times \frac{3}{2} = 1[/tex]
So they are intersecting and not perpendicular, which means that option 4 is correct.
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
find the measure of angle R
i need help asap!
Answer: 68 degrees
Step-by-step explanation:
A city library just received a grant that it can use to increase its book collection. If it currently has 1.3 million books and the grant will increase the book collection by 2%, how many books will it have in its collection?
Answer:
1,326,000 books
Step-by-step explanation:
2% of 1.3 million is 26,000
1,300,000 + 26,000 = 1,326,000
The sum of all but one interior angle of a heptagon is 776°. What is the measure of the final interior angle? 42º 56º 124º 304º.
Answer:
124°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 7 ( heptagon has 7 sides ) , then
sum = 180° × 5 = 900°
let x be the final interior angle , then
776° + x = 900° ( subtract 776° from both sides )
x = 124°
Answer:
C. 124
Step-by-step explanation:
E2020
What is 1050 rounded to the nearest thousand?
Answer:
1100
Step-by-step explanation:
We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.