Answer:
2
Step-by-step explanation:
Drawing a table to show the different weather and mood options :
The degree of freedom :
________ WEATHER ________
__________Rain ____ sunny _____ cloudy
Happy
|
Not happy
Here, we have a contingency table formatted in rows and columns
The columns = 3
The rows = 2
Degree of freedom :
(rows - 1) * ( columns - 1)
(2 - 1) * (3 - 1)
1 * 2
= 2
The degree of freedom = 2
Rachel is treating her three friends to go see The Avengers: End Game. Each movie ticket costs x dollars. Rachel orders each of them (including herself) candy that cost $3.75 each and drinks that cost $4.25 each.
Answer:
4(x+8) OR 4x+32
Step-by-step explanation:
4x+(4*3.75)+(4*4.25)
There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.
If you want to factor it, the answer would be 4(x+8)
If you want it simplified, it would be 4x+32
A merry go around has a radius of 18 ft. If a passenger gets on a horse located at the edge of the wheel and travels 38ft, find the angle of rotation to the nearest degree
Answer:
121 degrees
Step-by-step explanation:
Given
Radius r = 18ft
Length of the arc = 38ft
Required
angle of rotation
Using the formula
Length of an arc = theta/360 * 2πr
Substitute the given data
38 = theta/360 * 2π(18)
38 = theta/360 * 113.04
theta/360 = 38/113.04
theta/360 = 0.33616
theta = 0.33616 * 360
theta = 121.02
Hence the angle of rotation to the nearest degree is 121 degrees
Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.
Find the value of the
trig function
a. Cos Ɵ = 2/5 find Tan Ɵ
b. Cosec Ɵ = 7/3 find Cos Ɵ
c. Cot Ɵ = 4/3 find Sec Ɵ
d. Tan Ɵ = 3 find Cosec Ɵ
Answer:
a.
cos θ = 2/5, tan θ = ?
tan θ = sin θ / cos θ tan θ = √sin² θ / (2/5) tan θ= 5√(1 - cos²θ) / 2 tan θ = 5√(1 - 4/25) / 2 tan θ = 5√(21/25) / 2 tan θ = √21 / 2b.
cosec θ = 7/3, cos θ = ?
cosec θ = 1/ sin θ cosec θ = 1/ √(1 - cos²θ) √(1 - cos²θ) = 1 / cosec θ1 - cos²θ = (1 / (7/3))² cos²θ = 1 - 9 / 49cos²θ = 40/49cos θ = √40/49cos θ = 2√10/7c.
cot θ = 4/3, sec θ = ?
cot θ = cos θ / sin θcos θ = cot θ * sin θcos θ = 4/3 * √(1 - cos²θ)9cos²θ = 16(1 - cos²θ)25cos²θ = 16cos²θ = 16/25cos θ √16/25cos θ = 4/5sec θ = 1/ cos θsec θ = 1/ (4/5)sec θ = 5/4d.
tan θ = 3, cosec θ = ?
sin²θ + cos²θ = 11 + cos²θ/sin²θ = 1/ sin²θ1 + 1/tan²θ = cosec²θ1 + 1/9 = cosec²θcosec²θ = 10/9cosec θ = √(10/9)cosec θ = √10 / 3what is the area of the rectangular piece of wood?
Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
What is the product of the polynomials below?
(4x^3+8x)(x^2-3)
Answer:
4x^5 - 4x³ - 24x
Step-by-step explanation:
Answer:
4x^5 - 4x³ - 24x
Step-by-step explanation:
Distribute
[tex](4x^3+8x)(x^2-3)[/tex]
[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]
Distribute
[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]
[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]
Distribute
[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]
[tex]4x^{5} -12x^{3} +8x^{3} -24x[/tex]
Combine like terms
4x^5 - 4x^{3} - 24x
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
If the two spinners below are spun, what is the probability that the numbers will add to more than 4?
The image of the labeled spinner isn't attached
Answer:
Kindly check explanation
Step-by-step explanation:
Answering hypothetically ;
First create a sample space using the label of the two spinners ;
Each space will be the sum of the possible number that shows up on each turn of the spinner.
From the sample space, count the number of spaces where, the sun is greater than 4, that is the required outcome ; = x
Then the total number of samples in the sole space = total possible outcomes = y
Hence,
P(obtaining a sum greater than 4) = required outcome / Total possible outcomes
= x / y
You pull a marble from a bag with 20 red 20 white and 10 green marbles. You hold onto it and then pull another marble. What is the probability of pulling a red marble and then pulling a green marble?
The probability of pulling a red marble and then pulling a green marble is,
⇒ 3 / 5
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
You pull a marble from a bag with 20 red 20 white and 10 green marbles.
Here, Total number of marbles = 20 + 20 + 10
= 50
Thus, The probability of pulling a red marble is,
⇒ 20 / 50
⇒ 2 / 5
And, The probability of pulling a green marble is,
⇒ 10 / 50
⇒ 1 / 5
Therefore, The probability of pulling a red marble and then pulling a green marble is,
⇒ 2 / 5 + 1 / 5
⇒ 3 / 5
Learn more about the probability visit:
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Please help due in 5 min.
Answer:
1
Step-by-step explanation:
3×60=180
180÷45=4
4-3=1
What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = StartFraction 16 Over h squared minus 25 EndFraction?
Answer:Hi i think its 50 x 16= ur answer think about that hopes this helpp!!! :D
Step-by-step explanation:
Answer:
the answer is h=7
Step-by-step explanation:
WORTH A LOT OF POINTS. WILL GIVE BRAINLEIST THINGY TO WHOEVER SOLVES IT!
Answer:
the area of the small square 4c
the total area of the 4 triangles is 2ab
a^2+2ab+b^2 = a^2+2ab+b^2
subtracting gives 2ab from both sides gives us a^2+b^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
To the nearest tenth of a centimeter what is the length of side ab
The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6
Calculating the side length of a triangleFrom the question, we are to determine the length of side AB in the given triangle.
Using the law of sines, we can write that
AB/sinC = BC/sinA
From the diagram,
C = 50°
BC = 19
A = 40°
Thus,
AB/sin50° = 19/sin40°
AB = (19 × sin50°) / sin40°
AB = 22.6433
AB ≈ 22.6
Hence, the length is 22.6
Learn more on Calculating the length of a side of a triangle here: https://brainly.com/question/24138896
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PLEASE HELP!! I don't really know how to solve this.
Answer:
x=13
y=14
Step-by-step explanation:
We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.
Knowing this, we can write two equations: [tex]4x-1=3y+9[/tex] and [tex](4x-1)+(2x+6y+19)=180[/tex]. We can solve for y in the first equation. Subtracting 9 from both sides gives us [tex]4x-10=3y[/tex]. Dividing both sides by 3 gives us [tex]\frac{4x-10}{3} =y[/tex].
We can plug that in to the second equation to get [tex](4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180[/tex]. Expanding the second parenthesis, we get [tex]2x+8x-20+19[/tex] which equals [tex](10x-1)[/tex]. We now have [tex](4x-1)+(10x-1)=180[/tex]. Expanding gives us [tex]14x-2=180[/tex]. Adding 2 to both sides gives us [tex]14x = 182[/tex]. Dividing both sides by 14 gives us [tex]x=13[/tex].
We can now plug 13 into the above equation to solve for y. [tex]y= \frac{4*13-10}{3}[/tex] Solving that gives you [tex]y=14[/tex].
Simplify: -5 + 3a +
6 - 4a.
Answer:
-a+11
Step-by-step explanation:
hard to explain. but should be correct
A line goes through the points (-3,-6) and (6,9). Find the slope
Answer:
5/3
Step-by-step explanation:
slope = (difference in y)/(difference in x) = (-6 - 9)/(-3 - 6) = -15/(-9) = 5/3
Answer: 5/3
Based on the information in the diagram, what is the length of side b?
Answer:
29
Step-by-step explanation:
The length of side b is 36.
What is the length of side b?
Triangle 1 and 2 are similar triangles. In order to determine the length of side b, the ratio of the lengths given has to be determined.
45/10 = 4.5
This means that triangle 2 is 4.5 times larger than triangle 1.
Length of side b = 4.5 x 8= 36
To learn more about similar triangles, please check: https://brainly.com/question/10658464
look at pic 10 pts will mark brainilest
Answer:
There is nothing attached
Step-by-step explanation:
Where is the picture?
Shakira has 6 whole dollars, 3 hundredths of a dollar, and 7 tenths of a dollar. How much money does she have? What coins/bills does she have and how many of each? Answer in coins
Answer:
$6.73
Step-by-step explanation:
Since it says "answer in coins" she could have 24 quarters, 7 dimes, and 3 pennies.
I believe this correct but im not exactly sure
I hope this helps :)
Answer:
$6.73 || 26 quarters, 2 dimes, 3 pennies.
Step-by-step explanation:
If this isn't what you was asking sorry.
To find the diameter of a circle, multiply its radius by two. True or faulse
Answer: True
Step-by-step explanation:
Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
-10-8-642
2 4 6 8 10
A. The function shown on the graph has a smaller rate of change and
a lower starting point.
B. The function shown on the graph has the same rate of change, but
a lower starting point.
OC. The function shown on the graph has the same rate of change, but
a higher starting point.
D. The function shown on the graph has a smaller rate of change, but
the same starting point.
There were 650 fruit in a fruit stall. 62% of the fruit were sold. How many fruit were left?
Answer:
62/100 multiplied by 650 which is 403 fruits left
You pick a card at random. 5 6 7 8 What is P(divisor of 8)? 11% 83% 25%
Answer:25%
Step-by-step explanation:
You have a 25% (1 in 4) to pick 8
Solve the system: 10x-9y=8 21y+15x=0.5
PLEASE HELP NEED ASAP
Answer:
x = 1/2
y = -1/3
Step-by-step explanation:
10x - 9y = 8 (Multiply by 3)
15x + 21y = 0.5 (Multiply by -2)
30x - 27y = 24
-30x - 42y = -1
-69y = 23
y = -1/3
10x - 9y = 8
10x - 9(-1/3) = 8
10x + 3 = 8
10x = 5
x = 1/2
someone help me pls
Answer:
x=10
Step-by-step explanation:
Both of the tangents will be equal.
6x+17=16x-8
or, 10x=25
So, x=2.5
Rounding to the nearest tenth is 10.
Each side of a square kitchen tile is 3 inches long. What is the tile's perimeter?
please no links, thank you!
write a mathematical equation and calculate the area of the irregular polygon
Jamal can run 0.5 miles in 4 minutes. If he keeps the same pace and runs for 14.4 minutes, how many miles will he have run?
Answer:
1.8
Step-by-step explanation:
First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8
By the way, can you follow me on Brainly?
Thanks!
Answer:
14/4=3.5
3.5x0.5=1.75 miles
He will have run 1.75 miles
Use the geometric series 5^Ž (8)*-* to answer each question.
n=1
What are the terms in the series?
1 + 8 + ___+ ____+ ____
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Step-by-step explanation:
Rosa made a mosaic wall mural using 44 black tiles, 30 blue tiles and 26 red tiles. Enter a percent to represent the number of red tiles in the mural. The number of red tiles in the mural represents ___%
26/100
Step-by-step explanation:
26%
44+30+26=100
26/100
0.26
26%
