There are 3 odd numbers on the die so the theoretical probably of getting odd is 3/6 = 1/2
Samantha that rolled the die 4 times and got odd every time so her experimental probability was 4/4 = 1
Jeanie rolled the die 16 times and got 6 odds for an experimental probability of 6/16 = 3/8
3/8 is closer to 1/2
Answer: C. Jeanie’s
Q10. Consider the following algorithm:
g_1 = 9
g_2 = 5
Git
For k starting at 0 and ending with 8:
gk = (k-1)*gk-1 + gk-2
What is the last term, 8, of the recursive sequence generated as a result of
executing this algorithm?
Answer:
61,940
Step-by-step explanation:
For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.
__
The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.
That calculation looks like ...
g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4
The attachment shows the last term (for k=8) is 61,940.
PLS ANSWER IT PLS PLS
Answer:
The one above the orange answer in the picture
Step-by-step explanation:
85% of 20 is 17 every thing else is not 85%
The correct answer would be the one on top left
Yes I wanted to know what is the answer
Answer:
14 flats
5 plants
Step-by-step explanation:
First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14
The 14 times 6 would get you 84
Then subtract 84 from 89 and you get 5 plants left over ^^
Dylan has 58912 cookies he eats 34512 how much does he have now?
Answer:
24,400
Step-by-step explanation:
58912 minus 34512 equals 24400.
Hope this Helps.
BTW it's my birthday
Answer:
24400
Step-by-step explanation:
No explanations; 58912-34512=24400
Factor the equation 4x^2-20x+25
Answer:
[tex](2x - 5)^2[/tex]
Step-by-step explanation:
[tex]y = 4x^2 -20x + 25\\\rightarrow (2x - 5)(2x - 5)\\\rightarrow (2x - 5)^2\\\\\text{checking...}\\(2x - 5)^2 = (2x - 5)(2x - 5) = 4x^2 - 10x - 10x + 25 = 4x^2 - 20x + 25[/tex]
Which of the following is the correct factorization of the polynomial below?
p^3 - 125q^3
A. (p - 5q)(p^2 + 5pq + 25q^2)
B. (p - 25q)(p^2 + 25pq + 25q^2)
C. (p^2 + 10q)(p^3 + 25pq + 5q^2)
D. The polynomial is irreducible.
The correct factored form of the expression p³ - 125q³ is,
(p - 5q)(p² + 5pq + 25q²).
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
We know, a³ - b³ = (a - b)(a² + ab + b²).
Given, An expression p³ - 125q³.
= p³ - (5q)³.
= (p - 5q)(p² + p.5q + (5q)²).
= (p - 5q)(p² + 5pq + 25q²).
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make y the subject...
Answer:
y = qx/p -qr
Step-by-step explanation:
To solve for a variable, you must undo the operations done to the variable. Here, the variable is divided by a negative number (-q), and the result is added to another term (x/p).
We undo the addition by adding the opposite of the term that is added:
[tex]\dfrac{x}{p}-\dfrac{x}{p}-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{add $-\dfrac{x}{p}$}\\\\-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{simplify}[/tex]
We undo the division by multiplying by the reciprocal of the coefficeint, -q.
[tex]\left(-\dfrac{y}{q}\right)(-q)=\left(r-\dfrac{x}{p}\right)(-q)\qquad\text{multiply by $-q$}\\\\\boxed{y=-qr+\dfrac{qx}{p}}\qquad\text{simplify}[/tex]
can someone please help me solve this? thank you!
Find the circumference:
Circumference = pi x radius x 2 = 138.16 feet
Linear travel = circumference x rotations
linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet
A tree of 14m height is broken by the wind so that its top touches the ground and makes an angle of 60° with the ground. Find the length of the broken part of the tree.
Please help me,
I'll will mark as BRAINLIEST...
Answer:
7.50 m
Step-by-step explanation:
The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.
__
The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.
In terms of the above ratio units, the fraction of tree height that is broken off is ...
[tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]
So, the length of the broken part of the tree is ...
0.535898 × 14 m ≈ 7.50 m
solve for x ~
[tex]4x - 96 = 0[/tex]
thankyou ~
Step-by-step explanation:
4x - 96 = 0
transferring 96 to Right side4x = 96
x = 96/4
x = 24
Hope it helps you :)
I need help with this please
Answer:
4 and 7
2 and 5
Step-by-step explanation:
4 and 7 are co interior angles
2 and 5 are co interior angles
sum of co interior angles are 180° hence they are Supplementary
What is the surface area of this right prism?
600 in²
720 in²
840 in²
1440 in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is an isosceles triangle with legs labeled 13 in., 13 in., and 24 in. The height of the triangle is perpendicular to the side labeled 24 in. and is labeled 5 in.
The surface area of the right prism with an isosceles triangle base is 720 inches squared.
Surface area of a triangular prismsurface area = bh + l(x + y + z)
where
b = base of triangle.h = height of triangle.l = height of the prism.x, y and z are the side of the triangle.Therefore,
b = 24 inches
h = 5 inches
x = 13 inches
y = 13 inches
z = 24 inches
l = 12 inches
Surface area = 24 × 5 + 12(13 + 13 + 24)
Surface area = 120 + 12(50)
Surface area = 120 + 600
Surface area = 720 inches²
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Laurence earned scores of 87, 80, 75, and 85 on four biology tests. What score must he earn on his next test to have an 85 average?
A. 95
B. 98
C. 80
D. 85
Answer: 98
To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.
What is math average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.
When calculating the average for a set of data, we first sum up all the values and divide the result by the total number of values.
Average = (sum of values) / (number of values)
The total of Laurence's marks on the first four biology exams can be calculated using the following formula
Sum of scores = 87 + 80 + 75 + 85
= 327
We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.
Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.
Next score = (sum of all five scores) - (sum of first four scores)
= (85 x 5) - 327
= 25
Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.
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13) You pick a card and pick a marble. How many possible outcomes are there?
3
4 | 5
67
A) 5
OB) 2.
OC) 10
OD 6
Answer:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12
Step-by-step explanation:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12
Rewrite the parametric equations in Cartesian form: X(t) = -3sin t, y(t) = 3 cos t
Answer:
[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]
or x² +y²= 9
Step-by-step explanation:
In Cartesian form, the equation is expressed only in terms of y and x.
x= -3sin(t) -----(1)
y= 3cos(t) -----(2)
I've written x instead of x(t) as in the later part of the working, we will be having an equation of only x and y, thus x will no longer be a function of t. This applies to equation 2, where I have replaced y(t) with y.
Relating sine to cosine:
sin²(t) +cos²(t)= 1
[sin(t)]² +[cos(t)]²= 1 -----(3)
From (1):
[tex] \frac{x}{ - 3} = \sin(t) [/tex]
[tex] \sin(t) = - \frac{x}{3} [/tex] -----(3)
From (2):
[tex] \frac{y}{3} = \cos(t) [/tex]
[tex] \cos(t) = \frac{y}{3} [/tex] -----(4)
Substitute (4) &(5) into (3):
[tex]( - \frac{x}{3} )^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]
[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3} ) {}^{2} = 1[/tex]
The steps below are optional as the above is already considered to be the Cartesian form.
[tex] \frac{ {x}^{2} }{9} + \frac{y {}^{2} }{9} = 1[/tex]
Multiplying both sides by 9:
x² +y²= 9
Brendan is building a dog house, and the
dimensions of the roof are shown below. What is
the lateral surface area of the roof?
2.7f
5 ft
3 f+
A. 24.84 f+2
B. 46 f+2
C. 54.1 f+2
D. 43.2 f+2
Answer:
B. 46 ft²
Step-by-step explanation:
Two sides are rectangles 3.1 ft by 5 ft.
One side is a rectangle 5 ft by 3 ft.
area = 2(3.1 ft × 5 ft) + (5 ft × 3 ft)
area = 46 ft²
Find the absolute value of x: (x+8)=-2
Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10
How to find the absolute value of a function?The absolute value is the positive value of any given value.
Given the equation
x + 8 = -2
Determine the value of x
x = -2 - 8
x = -10
Since x is -10, hence the absolute value of x is 10
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(c) 111 IT IIISH (Find the value of):
6
E (4n -2)
1 =2
Answer: 70
Step-by-step explanation:
Please help me yall… my math is due tommorrow!
Answer:
Step-by-step explanation:
Remark
I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.
Givens
Total number of movie goers = 3880
Total number that are between 12 and 24 = 1180
Solution
Probability of a random person being drawn from 1180
people between 12 and 24 = Those between 12 and 24 = 1180
Total Number = 3880
P(12 - 24) = 1180 / 3880
P(12 -24) = 0.3041
Remember, that's not what you want. You want everyone else
P(not(12-24)) = 1 - 0.3041
Answer 0.6959
HELP ASAP!!!
This circle is centered at the origin, and the length of its radius is 3. What is
the circle's equation?
A. x + y3 = 27
B. x² + 7 = 9
c. x² + 7 = 3
D. x+y = 3
What is the value of z?
Answer:
z=58
Step-by-step explanation:
Sum of interior angles of a n-gon = (n-2) 180
for this 7-gon (heptagon) (7-2)(180) = 900
so all of the angles added togehter = 900
z+50 + 2z + 2z+23 + 3z-37 + 2z+31 + 113 + 140 = 900
z = 58
Write an equation of the line with a slope of -3 and y -intercept of 0 .
y=
Answer:
y=-3x
Step-by-step explanation:
Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.
Answer:
Before cooling begins, the temperature of the water is 22°C.
Step-by-step explanation:
need steps??
have a good day
rate my answer
35\40 in simplest form
Answer:
7/3
Step-by-step explanation:
pls mark me brainliest :)
Answer:
7/8
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
35 ÷ 5
40 ÷ 5
Stacy’s goal is to run at an average speed of 1 mile per 10 minutes. What is the number of laps that she must run in 1/2 hour to reach her goal?
Answer:
3 miles (3 laps)
Step-by-step explanation:
Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.
find the length of the missing side. if your answer is not an integer, leave it in simplest radical form.
Answer:15h
Step-by-step explanation: because 8m+7m = 15h and the side the H is on is way bigger than the other sides so thats how you know your supposed to add.
Emily is 4 years Jacob's junior. Eight years ago. she was half Jacob's age. How old are they?
Answer:
Emily is now 12.
Jacob is now 16.
Step-by-step explanation:
since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.
eight yrs ago: Emily is ( x-4-8) = ( x - 12)
Jacob is ( x - 8)
Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)
2( x - 12) = x - 8
2x - 24 = x - 8............ Bring the like terms together and solve for x
x = 16, which is Jacob's current age
Emily ( x - 4) = 12 yrs
8 + X = 14 what does X equal to?
Answer:
x=6
Step-by-step explanation:
Rearrange terms:
8+x=14
x+8=14
Subtract 8 from both sides and simplify.
Given :-
8 + X = 14To find :-
The value of XSolution :-
8+x = 14
Transferring 8 to Right sidex = 14-8 (Signs change when transferred to opposite side)
x = 6
A student wants to interview other students about their favorite sport. The student interviews every fifth student who enters the school in the morning. Is this a random sample or a biased sample?
A
Random sample
B
Biased sample
Answer:
Biased
Step-by-step explanation:
Use the distribution property to explain how 30 flowers in a bunch can be counted in groups of 2s and 3s.
The way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))
Prime factorization of numbersFrom the question, the interpretation is that we are to write the prime factorization of 30
30 = 2 * 15
30 = 2{3 (3 + 2)}
Expand using the distribution property
30 = 2(3(3) + 3(2))
30 = 2(9 + 6)
Hence the way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))
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