Answer:
3π/13
Step-by-step explanation:
In order to find the reference angle of a given angle, first of all, its quadrant is determined
In order to determine the quadrant,
10π/13=10(180)/13
=138.46
As the given angle belongs to 2nd quadrant, it will be subtracted from 180 degrees also denoted by pi.
So,
Reference angle for 10π/13= π-10π/13
=(13π-10π)/13
=3π/13
So the reference angle for 10π/13 is 3π/13 ..
Events A and B are disjointed. P(A) = 4/11; P(B) = 3/11, P(A and B)= 2/11 . Find P(A or B).
Answer:
[tex]P(A\:or\:B)=\frac{7}{11}[/tex]
Step-by-step explanation:
If the two events are disjoint, then P(A or B)=P(A)+P(B).
We were given that:
[tex]P(A)=\frac{4}{11}[/tex]
and
[tex]P(B)=\frac{3}{11}[/tex]
This implies that:
[tex]P(A\:or\:B)=\frac{4}{11}+\frac{3}{11}[/tex]
We simplify the right hand side to obtain:
[tex]P(A\:or\:B)=\frac{4+3}{11}[/tex]
[tex]P(A\:or\:B)=\frac{7}{11}[/tex]
Answer:
5/11
How I got my answer:
For overlapping events, you would subtract P(A and B) from the sum of P(A) and P(B).
In this case, you would do 4/11 + 3/11, which equals 7/11 minus 2/11, which equals 5/11.
A triangle has two sides of lengths 6 and 9. What value could the length of the third side be?
The sum of the lengths of two sides of a triangle must always be less than or equal to the third side. So, if we let the third side be x, we have:
[tex]\begin{cases}6+x\geq9\\x+9\geq6\\6+9\geq x\end{cases} \iff \begin{cases}x\geq3\\x\geq -3\\x\leq 15\end{cases} \iff \begin{cases}x\geq3\\x\leq 15\end{cases}[/tex]
Answer:
anything between 3 and 15 BUT NOT 3 OR 15
they can be
4
5
6
7
8
9
10
11
12
13
14
Which is the correct classification of √18?
irrational number, non-repeating decimal
irrational number, terminating decimal
rational number, terminating decimal
rational number, non-repeating decimal
Answer:
irrational number, non-repeating decimal
Step-by-step explanation:
√18 = √9·√2 = 3·√2.
√2 is an irrational, non-repeating decimal (my calculator shows it to be approx. 1.414213562..... )
and so √18 is the same.
Answer:
Irrational number, Non-repeating decimal
Step-by-step explanation:
Dictonary definition of
IRRATIONAL NUMBER:
"(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2."
1. A given binomial distribution has a mean of 153.1 and a standard deviation of 18.2. Would a value of 187 be considered usual or
unusual? Why?
A. Unusual, because the result is less than the maximum usual value.
B. Usual, because the result is less than the minimum usual value.
C. Unusual, because the result is greater than the maximum usual value.
D. Usual, because the result is between the minimum and maximum usual values.
Answer:
Usual, because the result is between the minimum and maximum usual values.
Step-by-step explanation:
To identify if the value is usual or unusual we're going to use the Range rule of thumbs which states that most values should lie within 2 standard deviations of the mean. If the value lies outside those limits, we can tell that it's an unusual value.
Therefore:
Maximum usual value: μ + 2σ
Minimum usual value: μ - 2σ
In this case:
μ = 153.1
σ = 18.2
Therefore:
Maximum usual value: 189.5
Minimum usual value: 116.7
Therefore, the value of 187 lies within the limits. Therefore, the correct option is D. Usual, because the result is between the minimum and maximum usual values.
Answer:
D. Usual, because the result is between the minimum and maximum usual values
Step-by-step explanation:
what is the lateral area of a regular pyramid with a square base which has a slant height of nine units and base side length of seven units?
Answer:
126 sq units.
Step-by-step explanation:
We want the side surface area only, we'll calculate both
For the sides, we have 4 triangles with a base of 7 and a height of 9 units.
The area of a triangle is calculated with A = (b * h)/2
So, each of the sides of the pyramid has an area of:
A = (7 * 9) / 2 = 31.5 sq units
There are four sides, so total lateral area: 4 * 31.5 = 126 sq units.
The total lateral area of that pyramid is 126 sq units.
What is the value of the expression “eight more than three times the difference of four and a number” when n = 3?
Answer:
The value of the expression would be 11.
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
Let the number is n
Then as per statement of the question
"Eight more than three times the difference of four and a number"
Expression will be [3(4-n)+8]
Now for n = 3
Value of the expression will be [3(4 - 3 ) +8]
= [ 3 × 1 + 8 ]
= 11
O,60 is the same rotation as O,
-300
120
300
Answer:
-300
Step-by-step explanation:
A counter-clockwise rotation is positive.
A clockwise rotation is negative.
Start at the top and go counter-clockwise 60 degrees.
Start at the top and go clockwise 300 degrees.
You end up at the same point.
It is -300 because a clockwise rotation is negative.
Here is a link with my work:
https://docs.google.com/document/d/1qWHf3acY0HKyWf8hU-_CKpbPZO214G__EGPvn53vM2I/edit?usp=sharing
Hope this helps! :)
- 300 is the same rotation as O
What is rotation?Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
Given
A counter-clockwise rotation is positive.
A clockwise rotation is negative.
Start at the top and go counter-clockwise at 60 degrees.
Start at the top and go clockwise at 300 degrees.
It is -300 because a clockwise rotation is negative.
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Nine times the square of a number plus 8 is 44. The number is positive. What’s the number?
Answer:
n = 4Step-by-step explanation:
[tex]n-number,\ n>0\\\\9n^2+8=44\qquad\text{subtract 8 from both sides}\\\\9n^2+8-8=44-8\\\\9n^2=36\qquad\text{divide both sides by 9}\\\\\dfrac{9n^2}{9}=\dfrac{36}{9}\\\\n^2=4\iff n=\pm\sqrt4\\\\n=\pm4[/tex]
I give brainliest please answer
Answer:
The answer is D; (5,3)
The answer would be D 5,3.
The height H of a skydiver t seconds after jumping. Let T be the independent variable, and assume the skydiver jumps from a height of 12,500 feet and lands after 300 seconds of flight
Answer:
25 seconds
Step-by-step explanation:
Skydiving.
height (in feet) above the earth=h(t)= -16t^2 + 10,000
the time it would take to fall when h is 0
-16t^2 + 10,000=0
-16t^2=-10000
16t^2=10000
t^2=10000/16=625
t=sqrt 625=25 seconds
Which restriction is appropriate for the variable 4a + 12 / a + 3
I'll presume the slash is the fraction bar and the questioner is asking about
[tex]\dfrac{4a+12}{a+3}[/tex]
That always equals 4 except when [tex]a=-3[/tex]
So the restriction is
Answer: a ≠ -3
Answer:
The restriction is at a=-3
Step-by-step explanation:
You need to see if there are like terms. If there are that is a hole. For example you can a 4 out of the equation like so.
4(a+3)/a+3.
since they both have a+3 that is a hole. so a+3=0 so a=-3 is a restriction
can someone help me please
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line
m = [tex]\frac{-1-1}{1-0}[/tex] = - 2
Answer:
Slope = -2
Step-by-step explanation:
(0,1) and (1,-1)
Slope = (-1 -1)/(1-0)
Slope = -2
HELP!!!! FAST!!! Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis?
Answer: The correct option is A.
Explanation:
The given function is,
To find the graph of this function after the reflecting across y-axis, first we have to find the graph of the equation.
The value of the function is 2 when x=0, so, the graph of given equation intersect the y-axis at 2.
In the equation . Since , so the given function is decreasing function
The value of f(x) is always positive, so the graph of f(x) is always above the x-axis. Thus, the graph must be above the x-axis after reflection across y-axis.
So, the option (2) and (4) and incorrect.
When we reflect the graph across the y-axis then,
It means when x approaches to large negative number the f(x) approaches to 0 and when x approaches to large positive number the f(x) approaches to infinite.
Therefore, the correct option is show in first graph.
Which equation represents an inverse variation?
y = 2x
y = x/3
y = 4/x
y = –5x
Answer: third option
[tex]y = \frac{4}{x}[/tex]
Step-by-step explanation:
It is said that two variables X and Y vary inversely if when the variable x increases then the variable and decreases.
The equations of inverse variation have the following form:
[tex]y = \frac{k}{x}[/tex]
Where k is the constant of variation
To know which of the equations varies inversely identify those that have the form
[tex]y = \frac{k}{x}[/tex]
You can see that the correct option is the third option
[tex]y = \frac{4}{x}[/tex]
Answer:
It's C.
Step-by-step explanation:
Please help thank you much!
The volume of one marble is 0.04 liters.
Multiply the volume by the number of marbles:
50 x 0.04 = 2 liters.
Add that to the volume of water:
33 +2 = 35 liters
The volume of the tank is 35 liters.
Part 2:
Subtract the volume of water from the volume of the tank:
35 - 20 = 15 liters.
Now divide the remaining volume by the volume of a marble:
15 / 0.04 = 375 marbles are needed.
A 3-pound bag of sugar costs $9.12. What is the price per ounce
To find the price per ounce of a 3-pound bag of sugar costing $9.12, multiply the pounds by 16 to get the total ounces (48), then divide the cost by the total ounces to get $0.19 per ounce.
To calculate the price per ounce of sugar for a 3-pound bag costing $9.12, first determine the total number of ounces, since there are 16 ounces in a pound. Multiplying 3 pounds by 16 ounces per pound gives us 48 ounces. Next, to find the price per ounce, you divide the total cost by the total number of ounces ($9.12 ÷ 48 ounces).
Performing the division gives us the cost per ounce of sugar: $9.12 divided by 48 ounces equals $0.19 per ounce.
What are the coordinates of A’ after reflecting across the line x = 3? (2, 3) (3, 2) (3, 4) (3, –2)
Answer:
A(3,4), B(2,2), C(6,3), D(1,6)
Step-by-step explanation:
The coordinates you wrote out are different then what is shown on the graph, On the graph the points are A(3,2), B(2,4), C(6,3), D(1,0)
So when it comes to solving this first you need to know what you are going to reflect over, in this case its X=3 which would be a horizontal at point 3 and across.
Then you count how far away the points are from X=3 line and reflect.
Hard to explain but i hope it helps
The coordinates of A after reflecting across the line x=3 is (2,3).
We can find the coordinates of a given graph using the following :The first number or the number which is located to the left side of a comma in the point is the x coordinate of the ordered pair.It represents the amount of movement along the x-axis from the origin.The movement to the right side of the number is positive and to the left side of the origin of the number is negative.The reflection of the point(x,y) across the line y=x is (y,x).The reflection of the point (x,y) across the line y=-x is (-y, -x).Hence, the correct answer is (2,3) if it is reflected across the line x=3.
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the price television was reduced from $250 to $200 by what percentage was the price of the televison reduced
Answer: is 20%
Step-by-step explanation: I took the percentage of 200 out of 250 and it was 80% so the answer is 20%
For me the answer is 80% I hope it helps. please add brainlist
What is the range if times that the middle 50% of sophomores spend on homework per night?
Answer:
[tex]60 - 20 = 40[/tex]
Step-by-step explanation:
Another way of stating this problem is find the Interquartile Range which is
Quartile 3 - Quartile 1.
The middle 50% of times that sophomores spend on homework per night refers to the interquartile range in statistics. This is found by ordering the data from least to greatest, splitting the data into 4 equal parts, then finding the values at the 1st and 3rd quartiles. The IQR is the range between these two values.
Explanation:The range of times that the middle 50% of sophomores spend on homework per night refers to the interquartile range (IQR) in statistics. This is because the middle 50% is equivalent to the data between the 1st quartile (25th percentile) and the 3rd quartile (75th percentile). To determine this IQR, you must first have the data you need- in this case, how long each sophomore spends on their homework. Then, you must order this data from least to greatest. Once ordered, you find the 1st and 3rd quartile values by splitting the data into 4 equal parts. Your IQR is then the range between these two values.
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There are 9 rows of 28 chairs set up for a play. A ticket to play costs $4. How much money will be made on ticket sales if all the seats are sold for the play?
First we have to determine how many chairs there are total. To do this multiply 9 by 28
9*28 = 252
That means you have a total of 252 chairs. Since we can assume that every person who buys a $4 ticket will only sit in one chair, we can say that if all the seats are filled then 252 people bought a ticket
To find the total price multiply the total chairs by the cost per ticket (or chair, which ever way you want to think of it as)
252 * 4 = 1008
You would make $1008
Hope this helped!
~Just a girl in love with Shawn Mendes
Which point lies on the line described by the equation below?
y+ 8 = 4(x - 5)
O A. (-5, -8)
O B. (5,0)
O C. (4,5)
O D. (4,-8)
O E. (5,-8)
O F. (5,8)
Answer:
E
Step-by-step explanation:
[tex]
y+8=4(x-5)
[/tex]
Put the the E coordinates.
[tex]
-8+8=4(5-5) \\
0 = 4\cdot 0 \\
\boxed{0=0\Longrightarrow E\in y+8=4x-20}
[/tex]
Hope this helps.
r3t40
By simplifying the given equation y + 8 = 4(x - 5) to y = 4x - 28 and substituting the points' coordinates, it is determined that Point B (5, 0) is the correct point that lies on the line described by the equation.
Explanation:To determine which point lies on the line described by the equation y + 8 = 4(x - 5), we need to verify which of the given options, when substituted into the equation, will satisfy it. First, we will simplify the equation to its standard line equation form y = mx + b (where m is the slope and b is the y-intercept):
y + 8 = 4(x - 5)y = 4x - 20 - 8y = 4x - 28Now we can substitute the x and y values from each of the points into this equation and check which one holds true.
Point A (-5, -8): Substitute x = -5 and y = -8.-8 = 4(-5) - 28-8 = -20 - 28 (Does not hold true)Point B (5, 0): Substitute x = 5 and y = 0.0 = 4(5) - 280 = 20 - 28 (Does hold true)Thus, Point B (5, 0) is the point that lies on the line described by the equation.
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URGENT 13 POINTS!
The box plots below show the average daily temperatures in January and December for a U.S. city:
What can you tell about the means for these two months?
1.The mean for December is higher than January's mean.
2.It is almost certain that January's mean is higher.
3.There is no way of telling what the means are.
4.The narrow IQR for January causes its mean to be lower.
Please explain your answer
Answer:
The mean for december is higher than januarys mean.
Step-by-step explanation:
What is the value of x?
Answer:
x = 27Step-by-step explanation:
Look at the picture.
Therefore:
[tex]\dfrac{x+8}{2x-5}=\dfrac{10}{14}[/tex] cross multiply
[tex]14(x+8)=10(2x-5)[/tex] use the distributive property a(b + c) = ab + ac
[tex]14x+112=20x-50[/tex] subtract 112 from both sides
[tex]14x=20x-162[/tex] subtract 20x from both sides
[tex]-6x=-162[/tex] divide both sides by (-6)
[tex]x=27[/tex]
Please help with perimiter
Answer:
The perimeter of question #1 is 36. The second one is 24 then the third is 19 then 28 then 54
Step-by-step explanation:
Answer:
The perimeter of one is 36. The second one is 24. The third is 19. The fourth is 28. The last is 54.
Step-by-step explanation: Adding all the sides is how you find perimeter. Use πr + 2r, where r is the radius minus the side of the semicircle that touches the other shape since that is inside the shape.
Please help!!!! A modern art museum has the dimensions shown in the figure what is the total amount of space inside museum
ANSWER
[tex] 3840 {m}^{3} [/tex]
EXPLANATION
The total amount of space is the volume of the composite solid.
We find the volume of the rectangular prism and add it to the volume of the triangular prism.
The total amount of space inside the museum is:
[tex] =l \times b \times h + \frac{1}{2} \times base \times height \times height \: of \: triangular \: prism [/tex]
[tex] = 30 \times 12 \times1 0 + 0.5 \times 12 \times 4 \times 10[/tex]
[tex]= 360 0 + 240[/tex]
[tex] = 3840 {m}^{3} [/tex]
Therefore,the total amount of space inside the museum is 3,840 cubic meters.
Answer:
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = 1/6 x + 4?
-6
To find the slope of the perpendicular line, start with the original slope, 1/6.
The slope of a perpendicular line is the opposite and inverse of the slope of the original line. So, start by finding the inverse. This is done by simply flipping the numerator and the denominator to get 6/1, which is simplified to 6.
Finally, find the opposite of 6. You can find the opposite of a number by multiplying or dividing it by -1. If it is a positive number, just add a negative sign, and if it is already a negative number, take away the negative sign. So, the opposite of 6 is -6, which is out final answer.
help-------------------------------
Answer:
9π
Step-by-step explanation:
3²π = 9π
ANSWER
28.26 units square.
EXPLANATION
The area of a circle is given by
[tex]A = \pi \: {r}^{2} [/tex]
The radius of the circle is given as 3 units.
We substitute r=3 and π=3.14 into the formula to obtain:
[tex]A = 3.14 \: \times {3}^{2} [/tex]
[tex]A = 28.26sq. \: units[/tex]
Therefore the area of the circle 28.26 units square.
solve for y in 3(2y-4)=8y+9-9y
3(2y - 4) = 8y + 9 - 9y
Distribute 3:
6y - 12 = 8y + 9 - 9y
Combine like terms:
6y - 12 = -y + 9
Add y to both sides:
7y - 12 = 9
Add 12 to both sides:
7y = 21
Divide both sides by 3:
y = 3
Answer:
Y = 3
Step-by-step explanation:
What is the value of log 13? Use a calculator. Round your answer to the nearest tenth.
㏒[tex]13 = 1.11394335[/tex]
Round.
[tex]1.11[/tex]
The value of log 13 is 1. 11
How to determine the logarithmic valueUsing a calculator, press in the log of 13
Log 13 = 1. 114
Rounding the value to the nearest tenth.
Log 13 = 1. 11
Therefore, the value of log 13 is 1. 11
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Jesse paid for dinner. He had a steak for
$26.00 and Melissa had chicken cutlets for
$23.50. There was 8% tax and Jesse left the
waiter a 20% tip on the final bill. Jesse looks in
his pocket and he has $51.00 left in his pocket.
How much money did Jesse start the night with?
The answer I got was $114.36