Answers
✿————✦————✿————✦————✿————✦————✿
So, to find the mean they added up the scores from 20 seasons and divided by 20, the number of seasons to get an average score of 10.4.
10.4 = (x1 +x2 +x3 ... +x20 )/20
Then;
10.4*(20) = (x1 +x2 +x3 ... +x20 )
208 = sum of the first 20 seasons
We want to add one more number in there, the 21st season with a score of 14. Add the 14 to the sum of the first 20 seasons and then divide by 21, the new number of seasons you're averaging.
Mean = (208+14)/21
✿————✦————✿————✦————✿————✦————✿
Answer
= 10.6
✿————✦————✿————✦————✿————✦————✿
#carryonlearning
Related Questions
true or false? multiplying the parent linear function by 3/4 results in vertical stretch
Answers
f(x) ⇒ a*f(x)
This results in a vertical stretch, or compression.
When a > 1, we refer to this as a vertical stretch by a factor of a.When 0 < a < 1, we typically refer to this as a vertical compression by a factor of [tex]\dfrac{1}{a}[/tex].**There are multiple correct answers when asked about a, or vertical stretches/compressions.
Let's say we're given [tex]\dfrac{1}{2}f(x)[/tex]. In this case, 0 < a < 1.We could say the following:
f(x) underwent a vertical stretch by a factor of [tex]\dfrac{1}{2}[/tex].f(x) underwent a vertical compression by a factor of 2.Both of the above responses are correct.
Solving the QuestionWe're given:
We multiply the parent function by [tex]\dfrac{3}{4}[/tex].In this case, 0 < a < 1.
This results in a vertical stretch by a factor of [tex]\dfrac{3}{4}[/tex].This results in a vertical compression by a factor of [tex]\dfrac{4}{3}[/tex].AnswerTrue and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.
A group of students is writing a phone message app to provide better word suggestions based on the context of the word and the words the person used in the past. They will earn an A on the project if their teacher is convinced that their program suggests the correct word at least 54% of the time. The current success rate for this app is 54%. The teacher randomly selects 100 words and finds that the students’ program correctly suggests 64 of the words. To determine if this data provide convincing evidence that the proportion of correct words is more than 54%, 150 trials of a simulation are conducted. The results are shown in the dotplot. The teacher is testing the hypotheses: H0: p = 54% and Ha: p > 54%, where p = the true proportion of words the app will correctly predict. Based on the results of the simulation, what is the estimate of the P-value of the test?
Answers
The agency concludes that the program increases the recycling rate, when in fact it does not. The program will be implemented at great cost without increasing the rate of water bottle recycling.
Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is
10.5 m long. How long is the hall on her plan?
cm
Answers
Answer:
Step-by-step explanation:
Scale factor = 4 : 500
= 1 : 125
Let the length of hall in her plan = x cm
1 : 125 = x : 1050
[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]
Cross multiply,
1*1050 = x*125
[tex]\sf x =\dfrac{1050}{125}[/tex]
x = 8.4 cm
The length of the hall in her plan = 8.4 cm
No Calculator Let gbe a twice-differentiable function. The function g and its derivatives have the properties indicated in the table above. 0 0
Answers
Hi there!
Part D:
We can use the Taylor Polynomial expansion for a second-degree polynomial:
[tex]P_3(x) = g(c) + \frac{g'(c)}{1!}(x - c) + \frac{g''(c)}{2!}(x - c)^2[/tex]
Where c is the value that the polynomial is centered about.
We are given that:
[tex]g(c) = 1\\\\g'(c) = 0\\\\g''(x) = 2[/tex]
Therefore:
[tex]P_3(x) = 1 + \frac{0}{1}(x - 2) + \frac{2}{2!}(x - 2)^2\\\\\boxed{P_3(x) = 1 + (x - 2)^2}[/tex]
Use the slope formula to find the slope of the line through the points (2, 10) and (-3,-6).
Answers
Answer:
3.2
Step-by-step explanation:
Your input: find the slope given two points P=(2,10) and Q=(−3,−6).
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by
m=y2−y1/x2−x1
We have that x1=2, y1=10, x2=−3, y2=−6.
Plug the given values into the formula for slope: m=(−6)−(10)/(−3)−(2)=−16/−5=16/5.
Answer: the slope of the line is m=16/5≈3.2.
a
Laura and Martin obtain a 25-year, $90,000 conventional mortgage at 9.5% on a house selling for $120,000. Their monthly mortgage payment, including principal and
interest, is $786.60.
a) Determine the total amount they will pay for their house.
b) How much of the cost will be interest?
c) How much of the first payment on the mortgage is applied to the principal?
Answers
Part a)
The home value is $120,000 and they get a loan for $90,000.
This must mean the down payment was 120,000 - 90,000 = 30,000 dollars. This is the payment made up front.
The mortgage has a monthly payment of $786.60 which is done for 25 years = 25*12 = 300 months. They pay back 786*300 = 235,800 dollars.
Therefore, the total amount they pay for the house is:
downPayment + loanRepayment = 30,000 + 235,800 = 265,800
Answer: $265,800=======================================================
Part b)
Refer to the previous part. Laura and Martin pay back $235,800 after being loaned $90,000
The total amount of interest is 235,800 - 90,000 = 145,800 dollars.
Answer: $145,800=======================================================
Part c)
The annual interest rate is 9.5% which converts to the decimal form 0.095
Divide this over 12 to get the monthly interest rate in decimal form.
0.095/12 = 0.00791667 approximately
Then multiply this with the initial balance of $90,000
90,000*0.00791667 = 712.5003
This rounds to 712.50 and this represents the interest for the first month.
This leads to:
principal = monthlyPayment - interest
principal = 786.60 - 712.50
principal = 74.10
It is unfortunately common practice that the starting monthly payments will be mostly interest. As time goes on, the increase payments decrease because they are tied directly to the remaining balance.
Answer: $74.10Simplify (X-2)(x+3)(2x+1)
Answers
Answer:
Step-by-step explanation:
Use FOIL method.
(x -2)(x+3) = x*x + x*3 + (-2)*x + (-2)*3
= x² + 3x - 2x -6 {Combinelike terms}
= x² + x - 6
(x² + x -6)*(2x + 1) = x²*2x + x²*1 + x*2x +x*1 + (-6)*2x + (-6)*1
= 2x³ + x² + 2x² + x -12x - 6
= 2x³ + 3x² - 11x - 6
8. (10 pts) A square plate is being heated so that the length of a side increases at a rate of 0.08 cm/min. How fast is the area increasing when the length of a side is 12cm?
Answers
Answer:
none of the fruit are not ripe
GEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
18 ft
d ft
22 ft
12.6 ft
O 160 ft
O 4'ft
28,4 ft
Answers
Answer:
d = 12.6 ft
Step-by-step explanation:
From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Therefore, use Pythagoras Theorem to find the measure of d.
Given values:
a = db = 18 ftc = 22 ftSubstitute the given values into the formula and solve for d:
[tex]\implies d^2+18^2=22^2[/tex]
[tex]\implies d^2+324=484[/tex]
[tex]\implies d^2=484-324[/tex]
[tex]\implies d^2=160[/tex]
[tex]\implies d=\sqrt{160}[/tex]
[tex]\implies d=12.6491106...[/tex]
Therefore, d = 12.6 ft (nearest tenth).
Learn more about Pythagoras Theorem here:
https://brainly.com/question/27648540
https://brainly.com/question/27988757
Jason drew a square with a side length of 8 cm. and Bella drew a rhombus with a side length of 8 cm. Jason says the perimeter of the square is smaller than the perimeter of the rhombus. Bella says they have the same perimeter. Which of them is correct and why? A. Jason is correct because a square is always smaller than a rhombus. B. Bella is correct because the rhombus and square have equal side lengths. C. Jason is correct because a square has fewer sides than a rhombus. D. Bella is correct because a square is half the perimeter of the rhombus. 5 / 18 4 of 18 Answered
Answers
Answer:
B
Step-by-step explanation:
to find the perimeter of a square its side*number of sides
which would be 8*4
to find the perimeter of a rhombus its 4*side length
which would be 4*8
therefore, its b they both have the same perimeter
here is it not sure if you will spot it
Answers
i dont understand your question
Answer:
[tex]f(x)=-5x^2+20x[/tex]
8.75 m
Step-by-step explanation:
Given ordered pairs: (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)
From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant. Therefore, the relation is not linear.
As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.
The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).
Creating an equation using the x-intercepts:
[tex]f(x)=a(x-0)(x-4)[/tex] where [tex]a[/tex] is some constant
[tex]\implies f(x)=ax(x-4)[/tex]
[tex]\implies f(x)=ax^2-4ax[/tex]
Creating an equation using the vertex form:
[tex]f(x)=a(x-2)^2+20[/tex]
[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]
Equating constants to determine a:
[tex]4a+20=0 \implies a=-5[/tex]
Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]
When x = 0.5:
[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]
[tex]=-1.25+10[/tex]
[tex]=8.75[/tex]
Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m
Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of each pen if. Y=80
I need it know
Answers
Answer:
30 pesos
Step-by-step explanation:
Given
Had 200 pesos originallyspends 'y' pesos on a notebookBought 4 colored pens with the rest of the moneySolving
Let money of the pen = x, money of notebook = y4x + y = 2004x + 80 = 2004x = 120x = 30 pesos12) Write the equation of a rational function
Vertical asymptote at x = 0 and x = -1
Horizontal asymptote at y = -4
Hole at x = 12
X-intercepts at x = 5, x=-7 L
Answers
Answer:
[tex] \frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)} [/tex]
Step-by-step explanation:
A rational function is
[tex] \frac{p(x)}{q(x)} [/tex]
where q(x) doesn't equal zero.
If p is a asymptote, or hole at that value, then we will use
[tex](x - p)[/tex]
Step 1: We have asymptote as 0 and -1 so our denomiator will include
[tex](x - 0)(x - ( - 1)[/tex]
Which is
[tex](x)(x + 1)[/tex]
So our denomator so far is
[tex] \frac{p(x)}{x(x + 1)} [/tex]
Step 2: Find Holes.
Since 12 is the value of the hole,
[tex](x - 12)[/tex]
is a the binomial.
This will be both on the numerator and denomator so qe have
[tex] \frac{(x - 12)}{x(x + 1)(x - 12)} [/tex]
Step 3: Put the x intercepts in the numerator.
Since 5 and -7 is the intercepts,
[tex] \frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)} [/tex]
Step 4: Horinzontal Asymptotes,
Multiply the numerator and denomiator out fully,
[tex] \frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12} [/tex]
Take a L
look at the coefficients,
Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.
Multiply the numerator by 4.
[tex] \frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)} [/tex]
Above is the function,
Need some math help thanks in advance!
Answers
Answer:
x = 10
y = 6
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
Help..........................
Answers
Hello! I believe your answer is x= -4 so B
===
Hope this helps and feel free to give feedback
Answer:
x = -4
Step-by-step explanation:
What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.
Answers
Answer:
1•7
Step-by-step explanation:
Answer Accorfing ti te pasaje we no get:
7 – (5t - 13) = -25
i need help with this question
Answers
Answer:
t=9
Step-by-step explanation:
Solve -
Distribute :7-(5t - 13) = - 25
7 - 5t + 13 = - 25
Add the numbers :7 – 57 + 13 = -25
20-51 = -25
Rearrange terms :20-51 = -25
-51+ 20 = -25
Subtract 20 from both sides :-51 + 20 = -25
-51+20-20-25-20
Simplify :Subtract the numbers
-51+ 20-20-25-20
-5:=-25-20
Subtract the numbers
-51 = -25-20
-51 = -45
-51 = -45
Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =
Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5
t = - 45 - -5
Divide the numbers :
t = - 45 - -5 ” t=9 ” here’s the answer
PLEASE HELP WILL GIVE BRAINLIEST
Answers
if julie make 18 baskets how many baskets does kari make how many baskets do they make in all
Answers
Answer:
18x
Step-by-step explanation:
j=18
k=x
18xor18
I do not understand this question
what is the measure of the space occupied by a solid. (Measured in cubic units)
Answers
What number is in the tenth's place? 41.53
Answers
Answer: The number in the tenth's place is 5
Step-by-step explanation:
There is no ones place in decimals
41.53
the tenth's place come first then the hundredth's and so on.
Answer:
5
Step-by-step explanation:
4 = tens
1 = ones
.
5 = tenths
3 = hundredths
Looking at the statement below, what is the current balance in the account if the beginning balance was $894.83?
Please help a bro out
Answers
Answer: $355.39
Step-by-step explanation: subtract 174.25,180.96,184.24 from 8194.84 =
hi i need help ill give brainlyest
Answers
Answer: 48.
Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side. 48 is at the the tip of the left whisker. Therefore, that's your answer.
Hope this helps! :)
draw a diagram and explain how you can use it to find 3 ÷ 1/5
Answers
Answer:
3/1/5
3×5/1
15/1
15 you don't need diagram
The circumference of the inner circle is 22 ft. The distance between the inner circle and the outer circle is 2 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use 22/7 for pi .
Answers
Answer: 25.1
Step-by-step explanation:
1. Find the radius of the inner circle
(the formula for the circumference of a circle is ) C =2pi r
To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:
22 = 2(22/7)r
then solve for r
r = 3.5
2. add 4 to the radius of the inner circle
3.5 + 4 = 7.5
3. find the circumference of the outer circle using 7.5 as the radius
22 = 2 (22/7) 7.5
C = 47.1
4. Subtract the circumference of the inner circle from the circumference of the outer circle
47.1 - 22 = 25.1
6 · 6 · 6 · 6 = 1,296. Using exponents, write two more expressions that also have a value of 1,296.
Answers
36^2 = 1296
1296^1 = 1296
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.
Answers
If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
How to calculate the volume of a pyramid.Mathematically, the volume of a pyramid is given by the formula:
[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]
For the base area:
The area of a right triangle is given by:
[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]
A = 54 square units.
Given the following data:
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:
[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]
h = 13 units.
Read more on pyramid here: brainly.com/question/16315790
a manufacturer wishes to recieve $4800 for a batch of items. when 1200 items were found to be defective, the selling cost per item increased by $0.20. how many items were manufactured.
Answers
Answer:
Abput 12000 items were produced yes and i think it is nice that yk like yes
Step-by-step explanation:
you roll two fair dice, a green one and a red one.
(a) are the outcomes on the dice independent?
(b) find p(1 on green die and 2 on red die)
(c) find p(2 on green die and 1 on red die)
(d) find p[(1 on green die and 2 on red die) or (2 on green die and 1 on red die)]
Answers
Answer:
(a) yes
(b) 1/36
(c) 1/36
(d) 1/18
Step-by-step explanation:
(a) yes they are independent as the outcome of one does not affect the outcome of the other.
(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(1 on green die) = 1/6
P(2 on red die) = 1/6
Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36
(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(2 on green die) = 1/6
P(1 on red die) = 1/6
Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36
(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)
= 1/36 + 1/36
= 2/36
= 1/18
Mia drew a scale drawing of a game room. The air hockey table is 6 inches wide in the
drawing. The actual air hockey table is 4 feet wide. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Answers
Answer:
8x
Step-by-step explanation:
The drawing of the air hockey table is 1/8th the size of the actual air hockey table so the scale factor the drawing uses is 8x