Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =
if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).
Answer:
A = 57,600 feet
Step-by-step explanation:
Area = length x width
A = 360 x 160
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Answer:
The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequencesStep-by-step explanation:
Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.
If the sum of the first two term is 24, then a/r + a = 24...(1)
and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)
Substtituting equation 1 into 2 we have;
24+ar = 26
ar = 2
a = 2/r ...(3)
Substituting a = 2/r into equation 1 will give;
(2/r))/r+2/r = 24
2/r²+2/r = 24
(2+2r)/r² = 24
2+2r = 24r²
1+r = 12r²
12r²-r-1 = 0
12r²-4r+3r -1 = 0
4r(3r-1)+1(3r-1) = 0
(4r+1)(3r-1) = 0
r = -1/4 0r 1/3
Since a= 2/r then a = 2/(-1/4)or a = 2/(1/3)
a = -8 or 6
All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of a geometric sequence is expressed as
if r = -1/4 and a = -8
Tn = -8(-1/4)^(n-1)
if r = 1/3 and a = 6
Tn = 6(1/3)^(n-1)
The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms
help me now asap please
Answer:
C
Step-by-step explanation:
Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.
Brooke: 1 hr 45 min
We know that there are 60 minutes in 1 hour, so we essentially have:
60 min and 45 min ⇒ 60 + 45 = 105 min
Lamont: 115 min
This is already in minutes, so we don't have to do anything to it.
We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:
- Since we know Brooke took 105 minutes, we can eliminate A and B.
- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race
- If Brooke took less time, that means she's faster.
Thus, the answer is C.
~ an aesthetics lover
Answer:
Time taken by Brooke = 1h 45min
= 60min + 45min
= 105min
Time taken by Lamont = 115min
Brooke finished in 105min, so she was faster.
Option 3 is correct.
a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?
Answer: x = 3.5y
Step-by-step explanation:
3.5 teaspoons of sugar (y) per tart (x) would look like this
You multiply 3.5 by y to equal x divided by 3.5
x = 3.5y
what is factorization of the trinomial below 4x^2-20x+24 a)4x(x-4)(x-6) b)4(x-4 )(x-6) c)4(x-2)(x-3) d)4x(x-2)(x-3)
Answer:
4(x-3)(x-2)
Step-by-step explanation:
4x^2-20x+24
4(x-3)(x-2)
Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form
A) 2x -y= -2
B) -2x -y= -22
C) -2x +y= -8
D) -2x +y=-2
Answer:d
Step-by-step explanation on ed
The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: [tex]a^2+8a+12[/tex]
We factorize:
[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]
Therefore, the missing number that will complete the factorization is 6.
Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
What is Factorization?Factorization can be defined as a process of resolving a product into factors.
Thus:
a² + 8a + 12
a² + 6a + 2a + 12
(a² + 6a) + (2a + 12)
a(a + 6) +2(a + 6)
(a + 2)(a + 6)
Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
Learn more about factorization on:
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Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.
A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.
B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.
C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.
D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.
HELP ME FOR BRIANETEST
As indicated on the number line 1/3 is the same as 2/6 so we get
Answer: 2/6 + 5/6 = 7/6
Which of the following shows the graph of y=-(2)^x-1
Answer:
option c
Step-by-step explanation:
What is the equation of the line through (-2,-2) and (4,-5)?
Answer:
y=-3.5x+9
Step-by-step explanation:
the slope is determined by the y1-y2/x2-x1 which is equaled to -5-2/4-2 which is equaled to -7/2 which is -3 1/2 which is your m value in y=mx+b and you graph to get your b value (y-intercept) which is 9
A tennis ball is launched from the ground and follows a parabolic path represented by the equation y=−x2+7x, where x=seconds.At the same time, an arrow is shot from a height of 18 feet and follows a straight path represented by the equation y=−5x+25.Using your graphing calculator, when will the arrow pierce the tennis ball and a what height off of the ground?
How do you solve [tex]x^2 + 7x + 2 = 0[/tex]?
Answer:
-7 ± √6
x = ----------------
2
Step-by-step explanation:
You have several options here. One would be "completing the square," and another would be "quadratic formula."
Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.
The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.
The roots are thus:
-7 ± √6
x = ----------------
2
the circumference of a circle is 125.6m find its radius
Step-by-step explanation:
we have,
Circumference of Circle (C) = 2πr
or, 125.6 = 2πr
or, r = 125.6/2π
Ans: r = 19.9898 ~ 20 m
Find the midpoint of the line segment with end coordinates of: ( − 2 , − 5 ) and ( 3 , − 2).
Give coordinates as decimals where appropriate.
Answer:
Midpoint of the line segment = ( 0.5 ,-3.5) =
Step-by-step explanation:
Given the co-ordinates of two points are
(-2 , -5) and ( 3, -2)
Let (x₁ , y₁) = ( -2 , -5)
(x₂ , y₂) = ( 3 , -2 )
Midpoint of the line segment
= [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]
Midpoint of the line segment
= [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]
Midpoint of the line segment = ( 0.5 ,-3.5)
Find the distance between the points.
(5,-2),(-6,-2)
Suppose that you placed $500 in a bank account at the end of each year for the next 10 years. How much would be in that account at the end of the tenth year if the deposits earned an annual rate of return of 8% each year?
Answer:
5400$
Step-by-step explanation:
First, you need to figure out 8% of 500$.
That is 40$.
Now, you need to multiply 500 by 10, because there are 10 years.
That is 5000$
Now, we need to add the 8% that was added each year. So we do 40$ times 10. 400$
Then we add the 5000 and 400.
The answer is 5400$
I really hope this helped you! So sorry if it doesn't!
42kg in the ratio 1:5
Answer:
7 kg and 35kg
Step-by-step explanation:
hope it helps
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
A high school graduating class is made up of 351 students. There are 73 more girls than boys. How many boys are in the class?
Answer:
let x be the number of boys
given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73
also given is that x + x + 73 = 351
2x + 73 = 351
2x = 351 - 73
2x = 278
x= 139
There are 139 boys
There will be 139 + 73 = 212 girls
139 + 212 = 351 which is the total number of students
let x be the number of boys.
Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73
also given is that
x + x + 73 = 351
2x + 73 = 351
2x = 351 - 73
2x = 278
x= 139
There are 139 boys
There will be 139 + 73 = 212 girls
139 + 212 = 351 which is the total number of students.
What is the term for graduating high school?To graduate means to successfully complete your schooling, to become "a graduate." When you graduate from high school, you become a high school graduate and congratulations are in order. A graduate is someone who has received a degree from a school.
Learn more about graduating high school here: https://brainly.com/question/14862649
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what is the answer to -3x - 6+ (-1)
Answer:
-3x-7
Step-by-step explanation:
Answer:
-3x - 7
Step-by-step explanation:
-12.40 in simplest from
Answer: [tex]- \frac{62}{5}[/tex]
Convert the decimal number into a fraction
Multiply by 10
[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]
[tex]- \frac{124}{10}[/tex]
Divide the fraction by 2
[tex]- \frac{62}{5}[/tex]
3a^2 * 2a^3
multiply the monomial
Answer:
6a^5
Step-by-step explanation:
3a^2*2a^3
3×2+a^2×a^3
6a^5
Answer:
The answer is 6a⁵.
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} [/tex]
So for this question :
[tex]3 {a}^{2} \times 2 {a}^{3} [/tex]
[tex] = (3 \times 2) \times ( {a}^{2 + 3}) [/tex]
[tex] = 6 \times {a}^{5} [/tex]
[tex] = 6 {a}^{5} [/tex]
Help someone cuhh please like omg
Answer:
5^1
Step-by-step explanation:
5^6/5^5
5^(6-5)
5^1
Answer:
5
Step-by-step explanation:
5^6=15625
5^5=3125
15,625/3,125=5
Hope this helps!
PLEASE HELP ME WITH MATH
Answer:
Surface Area: 200.48 yd^2
Volume: 141.2 yd^3
Step-by-step explanation:
Rectangular Prism x1 = 148.48 yd^2
Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.
Triangular Prism x2 = 52 yd^2
Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.
Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.
Now we move on to volume, which is actually more simple.
Formula of Rectangular Prisms = length x width x height
Formula of Triangular Prisms = (length x width x height) / 2
Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3
Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2
Finally add the volumes together to get your final volume.
107.52 + 16.8 + 16.8 = 141.2 yd^3
Sorry if this is long xd
Will Mark Brainliest ! Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Enter your answer in the box.
Answer: [tex]726 cm^{2}[/tex]
Step-by-step explanation:
surface area(SA)= [tex]6s^{2}[/tex]
= [tex]6*(11)^{2}[/tex]
= [tex]6*121[/tex]
= [tex]726 cm^{2}[/tex]
s= the length of the side of the cube
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
They can set up
_______ tables in 5 hours.
Answer:
To find this out, you simply multiply 6x5 which is 30
Find the gradient of the line segment between the points (-2,3) and (2,4). Give your answer in its simplest form.
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 4)
m = [tex]\frac{4-3}{2+2}[/tex] = [tex]\frac{1}{4}[/tex]
Pls select the correct answer
Answer:
B
Step-by-step explanation:
Rent paid by Julie = (1/3) of 3000
[tex]=\frac{1}{3}*3000\\\\=1*1000[/tex]
= £ 1000
Remaining amount after paying rent = 3000 - 1000 = £ 2000
Expenses : Savings = 7 : 3
Total part = 7 + 3 = 10
Saving part = 3/10
Amount saved = (3/10) of 2000
[tex]=\frac{3}{10}*2000\\\\=3*200[/tex]
= £ 600
Answer:
B
Step-by-step explanation:
one third of £3000 = £3000 ÷ 3 = £1000
£3000 - £1000 = £2000 ← amount left after paying rent
Add the parts of the ratio, 7 + 3 = 10 parts
Divide the amount left by 10 to find the value of one part of the ratio
£2000 ÷ 10 = £200 ← value of 1 part of the ratio, thus
3 × £200 = £600
Julie saves £600 each month
What is the value of the expression Negative 225 divided by (negative 15)?
Answer:
The Answer is 15
Step-by-step explanation:
the answer is 15 because that is what i got after i did all the work and i got it correct.
