Answer:
The 13th number in the Fibonacci sequence is 144.
Step-by-step explanation:
The sequence from the first to the 13th number is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
[tex]\huge\boxed{\sf 144}[/tex]
A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.
[tex]\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \boxed{144}, 233, 377,...[/tex]
A shipment of sugar fills 6 containers. If each container holds 3 3/4 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
7 6/7 tons.
Step-by-step explanation:
2 1/5 containers = 11/5 containers, written as an improper fraction. Each container holds 3 4/7 tons of sugar; this capacity is 25/7, written as an improper fraction.
The product of these two numbers is 55/7 tons, or 7 6/7 tons.
Parabolas in geometry. i need help please
Answer:
OPtion B
Step by step explanation:
Lets plug in a random value for x.
Lets say 5 is x
-8(-5-5)=(y+1)^2
5-5 = 0
-8(0) = 0
0 = (y+1)^2
Square root of both sides
0 = y+1
subtract one from both sides
-1 = y
that means the x is 5 and the y is -1. Option B illustrates exactly that!
if the pictures cost .29 cents and you have 353 pictures how much would it could all together
Answer:
102.37
Step-by-step explanation:
.29*353=102.37
How is the graph below misleading?
different widths of the bars
too large of increments used
y-axis doesn't begin at zero
broken y-axis
Answer:
A is the right answer
Step-by-step explanation:
the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A
Answer:
different widths of the bars
Step-by-step explanation:
the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken
the widths of the bars are visibly different, so that answer makes the most sense.
Does memory change with age?
A researcher conducts an experiment to test whether memory changes with age. They recruited 24 participants separated into four age groups. The groups differ according to the age of subjects. In group 1, all participants are 30 years old; group 2, 40 years old; group 3, 50 years old; and group 4, 60 years old. Assume that the participants are all in good health and that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each participant is shown a series of nonsense syllables (a meaningless combination of three letters such as DAF or FUM) at a rate of one syllable every 4 seconds. The series is shown twice, after which participants are asked to write down as many of the syllables as they can remember. Below is number of syllables remembered by each participant:
30 years old 40 years old 50 years old 60 years old
14 12 17 13
13 15 14 10
15 16 14 17
17 11 9 8
12 12 13 16
10 18 15 9
Instructions:
Below are 5 different experiments descriptions and datasets. For this project you will have to decide the statistical analysis (correlation, regression, z test t-test, anova) appropriate for the experiment and conduct the analysis either using Jamovi and uploading a screenshot of the output, or by hand and showing your calculations.
You need to submit a docx or PDF file. For all the experiments and calculations assume normality and a=0.05. You need to respond to 4 out of the 5 experiments (25 points each). The response needs to have the following information:
• Experiment title.
• Hypotheses: both alternative and the null.
• Mean and standard deviation of each group.
• Clear indication of the hypothesis test being conducted and the obtained statistic.
• The results and conclusion.
Answer:
yes memory changes with age.
Step-by-step explanation:
Q1: Suppose that the numbers of persons per car arriving at the entrance to an amusement park has an average 2. What is the probability that a car arriving at the entrance contains a) No person b) Only one person c) More than one person d) Eight persons e) At least 3 person
Which function is graphed on the coordinate plane below?
Answer:
f(x) = 2x - 6
Step-by-step explanation:
positive slope = 2
y- intercept = -6
Answer:A
Step-by-step explanation:
Multiply 12x2y4z(-4x3y6z2)
Answer:
[tex]-48x^5 y^{10} z^3[/tex] should be the answer
Step-by-step explanation:
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
769 691 699 730 711 765 702 718 719 712 768 688 757 695 768 735 709 758 708 693 736 700 687 772 715
Required:
a. What are the range and standard deviation?
b. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations.
Answer:
[tex]Range = 85[/tex]
[tex]\sigma = 28.71[/tex]
[tex]Interval = [666.78, 781.62][/tex]
Step-by-step explanation:
Given
The data for 25 undergraduates
Solving (a): Range and Standard deviation
The range is:
[tex]Range = Highest - Least[/tex]
From the dataset:
[tex]Highest = 772[/tex]
[tex]Least = 687[/tex]
So:
[tex]Range = Highest - Least[/tex]
[tex]Range = 772-687[/tex]
[tex]Range = 85[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
First, calculate the mean
[tex]\bar x = \frac{769 +691 +............+715}{25}[/tex]
[tex]\bar x = \frac{18105}{25}[/tex]
[tex]\bar x = 724.2[/tex]
So, the standard deviation is:
[tex]\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}[/tex]
[tex]\sigma = \sqrt{\frac{20604}{25}}[/tex]
[tex]\sigma = \sqrt{824.16}[/tex]
[tex]\sigma = 28.71[/tex]
Solving (b): The interval of the 95% of the observation.
Using the emperical rule, we have:
[tex]Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma][/tex]
[tex]Interval = [724.2 - 2*28.71, 724.2 + 2*28.71][/tex]
[tex]Interval = [666.78, 781.62][/tex]
PLS HELP ASAP !!! PLSSS !! will mark whoever answers correctly as brainliest !
Answer:
x=70 degree
Step-by-step explanation:
x+110 =180 degree (the relation between x and 110 degree is that they are co exterior angles are same side exterior angles and sum of co exterior angles is always 180 degree)
x=180-110
x=70 degree
Find the value of x.
5x
3x-3
-3
24
44
x = [?]
Answer:
x=11
Step-by-step explanation:
PLS HELP ASAP! FIND THE VOLUME OF THE GIVEN FIGURE.
Thank you
Answer:
120
Step-by-step explanation:
all you have to do is multiply the length, width, and height.
5x8=40
40x3=120
Hope this help!!!
Have a nice day!!!
NO LINKS!!!
Change the standard form equation to vertex form and compare the function to the parent function y = x^2.
1. y = x^2 - 2x - 2
Completing the square gives
[tex]x^2-2x-2=(x-1)^2-3[/tex]
and comparing to [tex]y=x^2[/tex], the graph of [tex]y=x^2-2x-2[/tex] would be a horizontal shift to the right by 1 unit, and a vertical shift down by 3 units.
Hope this help!!!
Have a nice day!!!
A, B&C form the vertices of a triangle.
CAB = 90°, ABC = 70° and AC = 9.5.
Calculate the length of AB rounded to 3 SF.
Please help :)
Answer:
I think this is right hope you understand
which sequence is a geometric progression
a 2 4 6 8
b 1 1 2 3
c1 2 4 8
d1 3 5 7
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Answer:
c 1, 2, 4, 8
Step-by-step explanation:
It can work well to look at the first differences.
a: 4 -2 = 2; 6 -4 = 2 ⇒ differences are 2, 2, 2
b: differences are 0, 1, 1
c: differences are 1, 2, 4
d: differences are 2, 2, 2
__
Sequences 'a' and 'd' have common differences that are constant. These are arithmetic sequences. Sequence 'b' is of no named type.
Sequence 'c' has first differences that have a common ratio, the same as the sequence itself. This is an indication the sequence is geometric. The ratios of values are 2/1 = 2; 4/2 = 2; 8/4 = 2, so the terms have a common ratio.
Sequence c is a geometric progression.
Factor 9x2+24x+16
Enter your answer in the boxes.
9x2+24x+16= ( answer here )2
Answer:
(3x + 4)^2
Step-by-step explanation:
9x^2 + 24x + 16
Let's use middle term break method to factor this polynomial.
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.
9x^2 + (12+12)x +16
9x^2 +12x +12x +16
take common
3x(3x + 4) +4(3x +4)
take (3x + 4) as common
(3x +4)(3x*1 +4*1)
(3x +4)(3x +4)
(3x +4)^2
Answer:
2 (17+12x)
Step-by-step explanation:
See image below:)
What is the area of the triangle
Answer:
60m^2 is the answer im pretty sure
Step-by-step explanation:
yeah man thats it
this zigzag crystal vase has a height of 10 inches. The cross sections parallel to the base are always rectangles that are 6 inches by 3 inches long.
If we assume the crystal itself has no thickness, what would be the volume of the vase? NO LINKS!!!
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Answer:
180 in³
Step-by-step explanation:
V = Bh
V = (6 in × 3 in)(10 in) = 180 in³
The volume is the product of the cross section area (6 in × 3 in) = 18 in² and the height perpendicular to that cross section, 10 in.
A line intersects the point (3,4) and has a slope of -2. Substitute the values into point-slope form.
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Answer:
y -4 = -2(x -3)
Step-by-step explanation:
The point-slope form of an equation for a line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (3, 4) and m = -2, so your equation is ...
y -4 = -2(x -3)
What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)
I tried every combination. there seems to be something wrong with the informations you gave.
the second equation contains errors, and none of these 4 points can be solutions to the first equation alone
Có bao nhiêu hoán vị {1.2….9} mà 4,5,6 không đứng cạnh nhau theo thứ tự tăng dần
Answer:
Yeah buddy
Step-by-step explanation:
Cabs here cabs here cabs here cabs here cabs here
the ratio of the measures of the angles in cat is 2:7:9. find the measure of the smallest angle.
Answer:
20º
Step-by-step explanation:
Total parts
2 + 7 + 9 = 18
Value of each part given 180º in a triangle
180 / 18 = 10º
Smallest angle
2 * 10 = 20º
Answer:
20
Step-by-step explanation:
Multiply each angle by x
2x: 7x: 9x
The sum of the angles in a triangle is 180
2x+7x+9x = 180
Combine like terms
18x = 180
Divide by 18
18x/18 = 180/18
x =10
The smallest angle is 2x
2x = 2(10) =20
b) A car drives at a speed of 90kmth for 2 hours and 20 minutes
How far does the car onve?
Answer:
210 km
Step-by-step explanation:
90 * 2 is 180 (distance over 2 hours)
20 minutes is .333 hours, so 90*0.333 is about 30 km
and 180+30 is 210.
Answer:
210km
Step-by-step explanation:
2 hours=90km×2hr=180
20mins converted to a fraction is 0.333hr
90×0.333=29.97
Round 29.97 to 30
180+30
=210
Hope this helps u
Here u go hope it helps
help me on this question
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Answer:
$4.71
Step-by-step explanation:
The cost of the Valencia oranges is ...
(3/4 kg)($0.96 /kg) = $0.72
The cost of the navel oranges is ...
(3 kg)($1.33 /kg) = $3.99
The cost of the purchase of the oranges is $0.72 +3.99 = $4.71.
Help please asp !!!
Answer:
a is the answrr
Step-by-step explanation:
they you a shout e e e e e e xh dhd jd dj
Which function has a greater Y intercept
Stacy drew a triangle to explain the relationship between the angles of a triangle and an exterior angle. She labeled the interior angles 1, 2, and 3. She labeled as 4 the exterior angle that is adjacent to angle 2. Triangle with angles labeled 1, 2, 3, & exterior angle at angle 2 is labeled 4. What should Stacy do to explain the relationship between an exterior angle and the interior angles in a triangle?
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Explanation:
Stacy can write two equations showing the relationships of the angles:
∠1 +∠2 +∠3 = 180° . . . . . . . sum of angles in a triangle
∠2 +∠4 = 180° . . . . . . . . . . angles of a linear pair are supplementary
__
Subtracting the second equation from the first gives ...
(∠1 +∠2 +∠3) -(∠2 +∠4) = (180°) -(180°)
∠1 +∠3 -∠4 = 0
Adding ∠4 to both sides gives the relationship Stacy is looking for:
∠1 +∠3 = ∠4
_____
Alternative approach
Stacy could subtract ∠2 from both equations to give ...
∠1 +∠3 = 180° -∠2
∠4 = 180° -∠2
Then she could equate the two expressions for 180° -∠2:
∠1 +∠3 = ∠4
Question is on the screenshot
PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.
Answer:
Z = 51º
Step-by-step explanation:
sinZ/12.5 = sin76/15.5
multiply both sides by 12.5
sinZ = sin76/15.5 * 12.5
Use calculator
sinZ = 0.782496553448384
Z = arcsin 0.782496553448384
Use calculator again
Z = 51.48972926377471º
Rounded
Z = 51º
PLEASE HELPPPPP!!! WILL MARK BRAINLIEST!!
X = -1
This is because when you multiply 2 to the -1 power, it is negative because a positive times a negative is always negative. And 1/2 by the same -1 is -1/2