Answer:
i)
The confidence interval is at 90%
ii)
The margin of error is 5%
iii)
The 90% confidence interval is (70%, 80%)
iv)
We are 90% confident that the average score of seniors in the field test is between 70% and 80%.
Step-by-step explanation:
i)
The confidence interval is at 90%
We are informed that the exam creator claims that on this particular exam, nine times out of ten, seniors will have an average score within 5% of 75%. This implies that we are 9 times out of 10 confident that seniors will have an average score within 5% of 75%.
The level of confidence is thus;
(9/10)*100 = 90%
ii)
The margin of error is 5% or equivalently 0.05
We are informed that the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 5% of 75%.
Since the average score is within 5%, the margin of error is 5%
iii)
A confidence interval is calculated using the formula;
point estimate ± margin of error
Our point estimate is 75%
Our margin of error is 5%
The 90% confidence interval is thus;
75% ± 5% = (70%, 80%)
iv)
The 90% confidence interval is interpreted as;
We are 90% confident that the average score of seniors in the field test is between 70% and 80%.
This is a confidence interval for the mean, the level of confidence is 90% and our confidence interval is (70%, 80%).
The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models this situation?
A. 25x^2-10x-24=0
B. 5x^2-2x-24=0
C. 5x^2-2x-6=0
D. 5x^2-2x-12=0
Answer:
A. 5x^2 − 2x − 24 = 0
Step-by-step explanation:
height = 5b-2
b =x
We can rewrite the height as
h = 5x-2
We know the formula for area of a triangle
A = 1/2 bh
A =1/2 x * (5x-2)
Distributing the x
A= 1/2 (5x^2 - 2x)
We know A =12
12 = 1/2 (5x^2 - 2x)
Multiply each side by 2
12*2 = 2*1/2 (5x^2 - 2x)
24 = 5x^2 - 2x
Subtract 24 from each side
24-24 = 5x^2 - 2x-24
0 = 5x^2 - 2x-24
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
x =
To find x you can use cosine since you know the adjacent side and the hypotenuse. Remember that for cosine it is adjacent over hypotenuse
cos(x) = [tex]\frac{28}{72}[/tex]
cos(x) = [tex]\frac{7}{18}[/tex]
To find the x we must take the inverse of cosine:
[tex]cos^{-1}[/tex]([tex]\frac{7}{18}[/tex] = x
x = 67.1146...
x ≈ 67.1 degrees
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
67.1
Step-by-step explanation:
i took the test
Find the 4th term of the expansion of (2a - b)^7.
a.
-560a^4b^3
c.
560a^4b^3
b.
-560a^3b^4
d.
560a^3b^4
Answer:
-560a^4b^3
Step-by-step explanation:
Given:
(2a - b)^7
By using Binomial theorem:
128a^7 - 448a^6b + 672a^5b^2 - 560a^4b^3 + 280a^3b^4 - 84a^2b^5 + 14ab^6-b^7
Here the fourth term is -560a^4b^3 !
Answer:
-560a^4 b^3.
Step-by-step explanation:
The (r + 1)th term of (a + x)^n = nCr a^(n-r) x^r.
So, the 4th term of (2a - b)^7 = 7C3 (2a)(7-3)x^3
= 35*16a^4(-b)^3
= -560a^4 b^3.
What shape is the cross-section of the cylinder hone sliced perpendicular to its base?
A. Circle
B. Rectangle
C. Square
D. Triangle
Answer:
circle should be the answer
The answer is A. Circle
From net earnings of $740 per month, Lisa Jones must spend $200 for her portion of the rent on an apartment she shares with two friends. What percent of her net income is her rent payment? A. 73% B. 27% C. 32% D. 38%
Answer:
Step-by-step explanation:
the answer is 27%.
Answer:
27 %
Step-by-step explanation:
To find the percentage of which her net income is her rent payment you do
[tex]\frac{200}{740}[/tex] × 100 = 27.027027027
You purchase 4 large pizzas for lunch on the beach.Each one cost 9.50$. How much do u spend on pizza
Answer:
$38.00
Step-by-step explanation:
You purchase 4 large pizzas.
Each one costs $9.50
Total expenditure on pizza = $9.50 × 4 = $38.00
4 times 9.50 would be 38. So you will have to spend $38.00
If g(x)=f(x+1), then g(x) translates the function f(x) 1 unit _[blank]_.
Left
Right
Up
Down
answer: right
reason: because you are talking about the x axis so if you go left that would be a negative and you cant go up and down bc that's the y axis so the only way to go is right
hope this helped
A light bulb operates at a voltage of 110 volts and consumes 50 watts of power. How much current flows through the light bulb?
Answer:
5/11 amperes ≈ 0.455 amperes
Step-by-step explanation:
The applicable formula for the current (I) is ...
I = P/V . . . . where P is power in watts, and V is voltage in volts
I = (50 watts)/(110 volts) = 5/11 amperes
At a game show, there are 8 people (including you and your friend) in the front row. The host randomly chooses 3 people from the front row to be contestants. The order in which they are chosen does not matter. How many ways can you and your friend both be chosen?
There are 2 ways that you and your friend can both be chosen as contestants.
Explanation:The question is on the concept of probability. There are 8 people in the front row, including you and your friend.
The host randomly chooses 3 people to be contestants.
The order in which they are chosen does not matter.
Since you and your friend are both in the front row, there are 2 cases where you both can be chosen: either you are chosen and your friend is chosen, or your friend is chosen and you are chosen.
So the total number of ways you and your friend can both be chosen is 2.
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How to write an exponential function from a table
Answer:
Step-by-step explanation:
I'll show you with an example. I'll make a table and then show you how to find the exponential equation, ok?
x y
0 3
1 12
2 48
3 192
The standard form of an exponential equation is
[tex]y=a(b)^x[/tex]
We will take 2 (x,y) coordinates from our table and fit them into the equations to solve for a and b. Using the point (0, 3):
[tex]3=a(b)^0[/tex]
b to the 0 power is equal to 1, so the equation then becomes a(1) = 3 so a = 3. We will use the other x, y coordinate along with that a value to now solve for b:
[tex]12=3(b)^1[/tex]
b to the first is b, so now that equation becomes 3b = 12 and b = 4. Filling that info back into the standard form:
[tex]y=3(4)^x[/tex]
There you go!
What is x? Help please
Answer: [tex]x=\frac{8}{3}[/tex]
Step-by-step explanation:
By the Intersecting secants theorem, we know that:
[tex]EC*ED=EB*EA[/tex]
Then, substituting, we get:
[tex](x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)[/tex]
Now we need to expand the expression:
[tex]x^2+5x+4x+20=x^2+12x+x+12[/tex]
Simplifying, we get that the value of "x" is:
[tex]x^2+9x+20=x^2+12x+12\\\\9x+20=12x+12\\\\20-12=12x-9x\\\\8=3x\\\\x=\frac{8}{3}[/tex]
A polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6
Given:
A polynomial of the 5th degree A leading coefficient of 7A constant term of 6Problem-solving:
Let us prepare the leading terms, constant terms, and the coefficients of the polynomial are being asked.
[tex]\boxed{ \ 7x^5 + bx^4 + cx^3 + dx^2 + ex + 6 \ }[/tex]
Now we make the first polynomial, for example:
b = 3c = -2d = 2e = -5Thus, the result is [tex]\boxed{\boxed{ \ 7x^5 + 3x^4 - 2x^3 + 2x^2 - 5x + 6 \ }}[/tex]
Then we make the second polynomial as an alternative. For example:
b = -6c = 0d = -2e = 0Thus, the polynomial is [tex]\boxed{\boxed{ \ 7x^5 - 6x^4 + 4x^2 + 6 \ }}[/tex]
Of course, you can form another polynomial using the procedure above. Try to vary the coefficients.
Notes:
Let us rephrase the following definitions.
A monomial is an algebraic expression which comprises a single real number, or the product of a real number and one or more variables raised to whole number powers. For example, [tex]\boxed{-2} \boxed{3x^2} \boxed{4a^3b^4} \boxed{-5xy^3z^2} \boxed{\frac{3}{5}}[/tex]A coefficient is each real number preceeding the variable(s) in a monomial. In the examples above [tex]\boxed{ \ -2, 3, 4, -5, \frac{3}{5} \ }[/tex] are the coefficients.A polynomial is the sum or difference of a set of monomials. For example, [tex]\boxed{ \ 2x^2 - 3xy^2 + 4x^2y \ }[/tex]Each monomial that forms a polynomial is called a term of that polynomial. For example, the term of polynomial [tex]\boxed{ \ 2x^2 - 3xy^2 + 4x^2y \ }[/tex] are [tex]\boxed{ \ 2, - 3, and \ 4. \ }[/tex]The constant term is the term of polynomial that does not contain a variable.The leading coefficient is the coefficient of the term containing the variable raised to the highest power.For example, consider the polynomial [tex]\boxed{ \ 2x^4 - 3x^2 - 4x - 5 \ }[/tex]
[tex]\boxed{ \ 2x^4, - 3x^2, - 4x, and \ - 5 \ }[/tex] are the terms of polynomial.[tex]\boxed{ \ 2, - 3, - 4 \ }[/tex] are the coefficients.- 5 is the constant term.2 is the leading coefficient.A polynomial is said to be in standard form if the terms are written in descending order of degree. For example:
[tex]\boxed{ \ 2x^4 - 3x^2 - 4x - 5 \ }[/tex] is a polynomial in standard form.[tex]\boxed{ \ - 3x^2 + 2x^4 - 5- 4x \ }[/tex] is the polynomial, but it is not in standard form.Learn moreThe remainder theorem https://brainly.com/question/950038768.32 divided by 2.8 is divisible https://brainly.com/question/5022643#Determine whether each algebraic expression is a polynomial or not https://brainly.com/question/9184197#Keywords: a polynomial of the 5th degree, a leading coefficient of 7, a constant term of 6, a monomial, terms, the leading coefficient, constant, in a standard form, rational function, whole number power, integer
A polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6 could take the form of 'f(x) = 7x^5 + 6'. The other coefficients (b, c, d, e) can be any real numbers, but for simplicity, they can be set to zero in this instance.
Explanation:The student's question relates to constructing a polynomial of the 5th degree with specific characteristics in the field of Mathematics, specifically in algebra. One can present such a polynomial with the general form:
f(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f
Where the leading coefficient a is 7 and the constant term f is 6. In this case, since the only information provided is the leading coefficient and the constant term, and not any constraints on the other coefficients (b, c, d, e), they can be any real numbers, including zero. Thus, one example of a polynomial fitting these constraints is:
f(x) = 7x^5 + 0x^4 + 0x^3 + 0x^2 + 0x + 6
To simplify the algebra and make calculations easier, one can eliminate terms wherever possible, which in this example has been executed by setting the coefficients of x^4, x^3, x^2, and x to zero. After forming any polynomial, it is also important to check the answer to ensure that it matches the given criteria, which in this case it does.
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Sunny earns \$12$12dollar sign, 12 per hour delivering cakes. She worked for xxx hours this week. Unfortunately, she was charged \$15$15dollar sign, 15 for a late delivery on Tuesday. How much money did Sunny earn this week?
Answer:
12x - 15 dollars
Step-by-step explanation:
Sunny earns $12 per hour for delivering cakes.
She worked for x hours this week.
Unfortunately, she was charged $15 for a late delivery on Tuesday
She was supposed to earn $12 × x = $12x this week
But she was charged $15 for late delivery on Tuesday
So her net earning this week is; $12x - $15
Answer:
12x-15
Step-by-step explanation:
Please answer this question CORRECTLY for 30 points and brainliest!
Answer:
22 quarters
Hope this helps! Correct me if im wrong.
The ShowMe Theater is showing 12 movies. Each movie is shown at five different times during during the day. How many choices of movies and showtime does Bart have?
bart has a choice of twelve different movies at 5 different times each so you just multiply twelve and five to get 60 choices
Answer:
Bart has 60 choices.Step-by-step explanation:
Givens
The theater is showing 12 movies.Each movie is shown at five different times.To find the total number of choices of movies and showtime that Bart have, we just need to multiply. Because, if each movie is shown at five different times, and there are 12 movies, then the total number of choices are
[tex]12 \times 5 = 60[/tex]
Therefore, Bart has 60 choices to watch a movie.
According to the diagram below, which similarity statements are true?
it can be concluded that [tex]\( \angle BAD = \angle CBD \) and \( \angle ABD = \angle BCD \).[/tex] So, all three angles are equal.
From the given information:
[tex]\( \angle BAD + \angle ABD = 90^\circ \)[/tex]
[tex]\( \angle CBD + \angle BCD = 90^\circ \)[/tex]
[tex]\( \angle ABD + \angle DBC = 90^\circ \)[/tex]
[tex]\( \angle BAD + \angle BCD = 90^\circ \)[/tex]
We can see that:
[tex]\( \angle BAD + \angle ABD = \angle CBD + \angle BCD \)[/tex]
[tex]\( \angle BAD + \angle BCD = \angle ABD + \angle DBC \)[/tex]
[tex]\( \angle BAD + \angle BCD = \angle BAD + \angle BCD \)[/tex]
From equations (1) and (2), we can conclude that:
[tex]\[ \angle BAD + \angle ABD = \angle CBD + \angle BCD = \angle ABD + \angle DBC \][/tex]
This implies that [tex]\( \angle ABD = \angle CBD \) and \( \angle BCD = \angle DBC \).[/tex]
Therefore, it can be concluded that [tex]\( \angle BAD = \angle CBD \) and \( \angle ABD = \angle BCD \).[/tex] So, all three angles are equal.
The complete question is:
According to the diagram below, which similarity statements are true? Check all that apply.
A. △ ABDsim △ BCD
B. △ ABCsim △ BDC
C. △ ABCsim △ ADB
D. △ ABDsim △ ADC
The similarity statements that are true are:
A. [tex]\(\triangle ABD \sim \triangle BCD\)[/tex]C. [tex]\(\triangle ABC \sim \triangle ADB\)[/tex]D. [tex]\(\triangle ABC \sim \triangle BDC\)[/tex][tex]\(\triangle ABD \sim \triangle BCD\):[/tex]
- Since D lies on AC and [tex]\( \angle ADB = \angle BDC = 90^\circ \),[/tex] both [tex]\(\triangle ABD\)[/tex]and \[tex](\triangle BCD\)[/tex]share [tex]\( \angle ADB = \angle BDC \).[/tex]
- They both share the common angle [tex]\( \angle B \).[/tex]
- Therefore, [tex]\(\triangle ABD \sim \triangle BCD\).[/tex]
[tex]\(\triangle ABC \sim \triangle ADB\):[/tex]
- Both triangles share the angle [tex]\( \angle A \).[/tex]
- They both have right angles at [tex]\( \angle ABC = \angle ADB = 90^\circ \).[/tex]
- Therefore, [tex]\(\triangle ABC \sim \triangle ADB\).[/tex]
[tex]\(\triangle ABC \sim \triangle BDC\):[/tex]
- Both triangles share the angle [tex]\( \angle C \).[/tex]
- They both have right angles at [tex]\( \angle ABC = \angle BDC = 90^\circ \).[/tex]
- Therefore, [tex]\(\triangle ABC \sim \triangle BDC\).[/tex]
compete the square to determine minum or maxuim value of function define by -x2+10x+5
Answer:
maximum value y = 30
Step-by-step explanation:
Given
- x² + 10x + 5
To complete the square the coefficient of the x² term must be 1
factor out - 1
= - (x² - 10x) + 5
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 10x
= - (x² + 2(- 5)x + 25 - 25) + 5
= - (x - 5)² + 25 + 5
= - (x - 5)² + 30 ← in vertex form
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Hence vertex = (5, 30)
The max/ min occurs at the vertex
Since a < 0 then vertex is a maximum
Hence maximum value is y = 30
Help!
Assume that lines that appear tangent are tangent. Find the value of each variable.
It is so jard for me .
so by drawing construction i have done it.Value of x i haven't done.due to no perfect angle
А
Subtotal
Male
11
20
Female
13 T 22 TOT 10 us
24 27 20 26
Subtotal
a. Fill in the blank cells by computing subtotals. In the last call of the bottom
5pts
place the sum of all the interior cells. What is the total number of the
participated in the survey?
b. P(male)
Answer:
a)
The total number of students who participated in the survey is 97
b)
P(male) = 0.5361
c)
P(A) = 0.2474
d)
The events male and TV show B are not mutually exclusive since 5 males prefer TV show B.
e)
The events female and TV show C are mutually exclusive since no female participant prefers TV show C
Step-by-step explanation:
a)
The total number of students who participated in the survey is obtained as;
Number of male participants + number of female participants
52 + 45 = 97
b)
P(male)
This is the probability that a randomly selected individual would be a male;
P(male) = ( number of male participants) / ( total participants)
= 52/97 = 0.5361
c)
P(A)
This is the probability that a randomly selected participant would prefer TV show A;
P(A) = ( participants who prefer TV show A) / (total participants)
= 24/97 = 0.2474
d)
Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.
The events male and TV show B are not mutually exclusive since 5 males prefer TV show B. The probability is thus not 0.
e)
Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.
The events female and TV show C are mutually exclusive since no female participant prefers TV show C. The probability is thus 0.
Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3?
ab(7a^2 + 10ab + 14b^2)
a^2b(7 + 10b + 14b^2)
7a^2(b + 3b^2 + 7b^3)
7a^2b^3(b^2 + 3b + 7)
Answer:
a^2b(7 + 10b + 14b^2)
Use wolframalpha for math questions, or photomath!
To solve this, factor out a^2b from the expression.
For this case we must indicate an expression equivalent to:
[tex]7a ^ 2b + 10a ^ 2b ^ 2 + 14a ^ 2b ^ 3[/tex]
We must draw the common term of the three terms, we have:
[tex]a ^ 2b (7 + 10b + 14b ^ 2)[/tex]
So:
[tex]7a ^ 2b + 10a ^ 2b ^ 2 + 14a ^ 2b ^ 3 = a ^ 2b (7 + 10b + 14b ^ 2)[/tex]
Answer:
[tex]a ^ 2b (7 + 10b + 14b ^ 2)[/tex]
Option B
what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?
Answer:
25 feet
Step-by-step explanation:
Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....
H² = A² + B²
H² = 20² + 15² = 400 + 225 = 625
H = 25 feet.
Answer:
The diagonal of a non-regulation tennis court = 25 feet
Step-by-step explanation:
Pythagorean theorem
Hypotenuse² = Base² + Height²
The tennis court is like a rectangle.
We can consider the court as made of two right angled triangle
To find the length of diagonal of court
Here base = 15 feet and height = 20 feet
Diagonal or hypotenuse can be written as,
Diagonal ² = Base² + Height²
= 15² + 20²
= 225 + 400
= 625
Diagonal = √625 = 25 feet
Therefore the diagonal of a non-regulation tennis court = 25 feet
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
a. (–3, –0.90)
b. (–2.5, –0.75)
c.(4.5, 1.35)
d. (8, 2.40)
Answer:
The correct answer would be (8,2.40).
Step-by-step explanation:
Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.
Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40
hope this helps :)
D is the right answer
Find the volume of this figure.
Answer:
320 cubic units
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B is the area of the base, and h is the height.
Your pyramid has a rectangular base with edge lengths 8 units and 10 units. Hence the area of the base is ...
8×10 = 80 . . . . square units
The height is 12 units, so the volume formula gives the volume as ...
V = (1/3)(80)(12) = 320 . . . . cubic units
If the area of square 1 is 25 units square, and the area of square 2 is 16 units square, what is the perimeter of square 3
Answer:
12
Step-by-step explanation:
If square 1's area is 25, that must mean its side is 5
If square 2's area is 16, that must mean its side is 4
Since it looks like its going in order, square 3's side is 3, and since there's 4 sides to a square, the perimeter is 12.
Answer:
12 units²
Step-by-step explanation:
4^2+b^2=5^2
b=25-16
b^2=9
b=√9
b=3
there are 4 sides in a square so 3•4=12
a small coin is thrown off the eiffel tower in paris. It lands 62.5m away from the centre of the base of the 320m- high structure. find the angle of elevation from the coin to the top of the tower
Answer:
78.9 degrees to the nearest tenth.
Step-by-step explanation:
This equals the angle whose tangent is 320/62.5 ( opposite side / adjacent side).
The angle of elevation from the coin to the top of the tower
What is angle of elevation?
The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
Given that:
The coin lands 62.5m away from the center of the base of the 320m- high structure.
Height= 320 m
Base= 62.5 m
Now, tan [tex]\theta[/tex] = [tex]\frac{P}{B}[/tex]
=[tex]\frac{320}{62.5}[/tex]
= 5.12
[tex]\theta[/tex]= [tex]tan^{-1} (5.12)[/tex]
[tex]\theta[/tex]= [tex]78.94^{0}[/tex]
The angle of elevation is: 78.94 degrees.
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Please help me out please
By comparing the perimeters, we can deduce the scaling factor:
[tex]k = \dfrac{34}{20} = 1.7[/tex]
The areas scale with the square of the scaling factor, so the new area is
[tex]19.6 \cdot 1.7^2 = 56.644[/tex]
Please help me out please
Answer:
[tex]\frac{8}{81}[/tex]
Step-by-step explanation:
Since the sequence is geometric there is a common ratio r between consecutive terms.
r = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex]
= [tex]\frac{1}{3}[/tex] × [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{3}[/tex]
Multiplying [tex]\frac{4}{27}[/tex] by r gives the next term in the sequence
[tex]\frac{4}{27}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{8}{81}[/tex]
.) The terms 4, t, 9 are the start of a sequence.
Part A: If the sequence is arithmetic, what is the value of t?
Part B: If the sequence is geometric, what is the value of t?
Answer:
see explanation
Step-by-step explanation:
A
If the sequence is arithmetic then the common difference d is
d = t - 4 = 9 -t, that is
t - 4 = 9 - t ( add t to both sides )
2t - 4 = 9 ( add 4 to both sides )
2t = 13 ( divide both sides by 2 )
t = [tex]\frac{13}{2}[/tex] = 6 [tex]\frac{1}{2}[/tex]
----------------------------------------------------------------------
B
If the sequence is geometric then the common ratio r is
r = [tex]\frac{t}{4}[/tex] = [tex]\frac{9}{t}[/tex] ( cross- multiply )
t² = 36 ( take the square root of both sides )
t = [tex]\sqrt{36}[/tex] = 6
A: If the sequence is arithmetic, what is the value of t is 6.5.
B: If the sequence is geometric, what is the value of t is 6.
If the sequence is arithmetic then the common difference d is,
What is the arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms are the same.
d = t - 4
d= 9 -t,
that is,
t - 4 = 9 - t ( add t to both sides )
2t - 4 = 9 ( add 4 to both sides )
2t = 13 ( divide both sides by 2 )
t =[tex]\frac{13}{2}[/tex] = 6.5
If the sequence is geometric then the common ratio r is
r = [tex]\frac{t}{4} =\frac{9}{t}[/tex] = ( cross- multiply )
t² = 36 ( take the square root of both sides )
t = [tex]\sqrt{36}[/tex]= 6
Therefore we get,
A: If the sequence is arithmetic, what is the value of t is 6.5.
B: If the sequence is geometric, what is the value of t is 6
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Please please help me
Answer:
131 m³
Step-by-step explanation:
The volume (V) of a cone is
V = [tex]\frac{1}{3}[/tex] area of base × height
= [tex]\frac{1}{3}[/tex] × π × 5² × 5
= [tex]\frac{1}{3}[/tex] π × 125 ≈ 131
Please help me out with this please
Intersecting Chord Theorem:
X = 1/2(78 + 76)
X = 1/2(154)
x = 77