Answer:
domain of function refers to the various values that can be passed through to the function.
Step-by-step explanation:
A bag contains 9 red marbles, 6 white marbles, and 8 blue marbles. You draw 4 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
Step-by-step explanation:
here are the answers bae. Feel free to ask for more
PLEASE HELP ASAP!!
Q: Use the graph of f below. Assume the entire function is graphed below. Find where f(x)<0.
(graph and answers pictured.)
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
We have to find the interval in which the function is less than zero or negative.
Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.
In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.
Therefore, in the interval (4, 6] function f(x) < 0.
Option (4) is the correct option.
what does $42,690e(0.03)×(20) equal
Answer:
77,786.251
Step-by-step explanation:
Answer:
77,786.251 is the answer that equals $42,690e(0.03)×(20)
Step-by-step explanation:
hey mate hope this help you...!
Triangle ABC is translated to create triangle DFG, as shown below.
2y + 12 cm
212y - 3) cm
312x + 10) cm
12x + 12 cm
G
In these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x
andy
Show your work
Answer:
[tex]x=3[/tex]
[tex]y = 9[/tex]
Step-by-step explanation:
Given
The translated triangles
Required
Find x and y
We have:
[tex]AB = DF[/tex]
[tex]BC = FG[/tex]
[tex]AB = DF[/tex] means:
[tex]3(2x + 10) = 12x + 12[/tex]
Open bracket
[tex]6x + 30 = 12x + 12[/tex]
Collect like terms
[tex]12x - 6x = 30 -12[/tex]
[tex]6x = 18[/tex]
Divide by 6
[tex]x=3[/tex]
[tex]BC = FG[/tex] means
[tex]2y + 12 = 2(2y - 3)[/tex]
Open bracket
[tex]2y + 12 = 4y - 6[/tex]
Collect like terms
[tex]4y - 2y = 12+6[/tex]
[tex]2y = 18[/tex]
Divide by 2
[tex]y = 9[/tex]
What is ratio 1 hour and 15 minutes to 50 minutes in lowest terms?
Answer:
First, convert the hour to minutes.
1 hr = 60 mins
15 mins: 60 mins
1:4
Oh wait I read the question wrong, give me 5 minutes lol. Edit: Nvm, I read it right :). This is the answer.
Answer:
3:2
Step-by-step explanation:
1 hour and 15 minutes can be seen as 75 minutes so it would be
75:50
The highest common mutiple of 75 and 50 are 25. Divide both (75&50) by 25.
The answer would be 3:2
The hourly earnings (in dollars) for a sample of 25 railroad equipment manufacturers are:15.60 18.7514.60 15.8014.3513.90 17.5017.5513.8014.20 19.05 15.35 15.20 19.45 15.95 16.50 16.30 15.2515.05 19.10 15.20 16.22 17.75 18.40 15.25Find the median and the mode(s)(if they exist) of the data. What is the interquartile range
Answer:
[tex]Median = 15.80[/tex]
[tex]Mode = 15.20\ \&\ 15.25[/tex]
[tex]IQR = 2.35[/tex]
Step-by-step explanation:
Given
[tex]15.60,\ 18.75,\ 14.60,\ 15.80,\ 14.35,[/tex]
[tex]13.90,\ 17.50,\ 17.55,\ 13.80,\ 14.20,[/tex]
[tex]19.05,\ 15.35,\ 15.20,\ 19.45,\ 15.95,[/tex]
[tex]16.50,\ 16.30,\ 15.25,\ 15.05,\ 19.10,[/tex]
[tex]15.20,\ 16.22,\ 17.75,\ 18.40,\ 15.25.[/tex]
Solving (a): The median and the mode
First, we sort the data.
[tex]13.80,\ 13.90,\ 14.20,\ 14.35,\ 14.60,\ 15.05,\ 15.20,\ 15.20,\ 15.25,\ 15.25,[/tex]
[tex]15.35,\ 15.60,\ 15.80,\ 15.95,\ 16.22,\ 16.30,\ 16.50,\ 17.50,\ 17.55,\ 17.75,[/tex]
[tex]18.40,\ 18.75,\ 19.05,\ 19.10,\ 19.45.[/tex]
The median position is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{25 + 1}{2}[/tex]
[tex]Median = \frac{26}{2}[/tex]
[tex]Median = 13th[/tex]
The 13th item is: 15.80
Hence:
[tex]Median = 15.80[/tex]
The modes are:
[tex]Mode = 15.20\ \&\ 15.25[/tex] --- they both have frequency of 2 while others occur once
Solving (b): The interquartile range
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
Since the median is at the 13th position, Q1 is:
[tex]Q_1 = \frac{1 + 13}{2}th[/tex]
[tex]Q_1 = \frac{14}{2}th[/tex]
[tex]Q_1 = 7th[/tex]
The 7th item is: 15.20
[tex]Q_1 = 15.20[/tex]
Similarly, Q3 is:
[tex]Q_3 = \frac{13+n}{2}[/tex]
[tex]Q_3 = \frac{13+25}{2}[/tex]
[tex]Q_3 = \frac{38}{2}[/tex]
[tex]Q_3 = 19th[/tex]
The 7th item is: 17.55
So:
[tex]Q_3 = 17.55[/tex]
Hence,
[tex]IQR = 17.55 - 15.20[/tex]
[tex]IQR = 2.35[/tex]
The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.
Answer:
Step-by-step explanation:
let the coordinates of P be (x,y)
[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\x=\frac{2(5)+3(-3)}{2+3} \\x=\frac{10-9}{5} =\frac{1}{5} =0.2\\y=\frac{2(0)+3(-4)}{2+3} \\y=\frac{0-12}{5} =\frac{-12}{5} =-2.4\\[/tex]
so coordinates of P are (0.2,-2.4)
The height of Ahmed is 30 inches . Convert his height to centimeters
Answer:
height is 76.2 centimeters
The shortest route from London to Edinburgh is 400 miles.
A lorry is expected to take 10 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
By how many more mph than the expected speed does the lorry travel?
Answer:
The lorry travels by 6 mph more than the expected speed.
Step-by-step explanation:
Velocity formula:
Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Shortest route:
400 miles in 10 hours, which means that [tex]d = 400, v = 10[/tex]. So
[tex]v = \frac{d}{t} = \frac{400}{10} = 40[/tex]
In mph.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
Distance is multiplied by 100% + 15% = 115% = 1.15, so:
[tex]d = 1.15*400 = 460[/tex]
Then
[tex]v = \frac{d}{t} = \frac{460}{10} = 46[/tex]
46 mph
By how many more mph than the expected speed does the lorry travel?
46 - 40 = 6 mph
The lorry travels by 6 mph more than the expected speed.
Razon trigonometría que se requiere para calcular la altura de la torre si desde una distancia de 50 m se observa su punto mas alto con un ángulo de 48
Answer:
se supone que debes usar el SINE RATIO ya que se trata del lado opuesto y la hipotenusa.
the angles of a triangle is 2x,3x and 5x find the value of x
Here,
2x+3x+5x = 180 (sum of all angles of triangle are equal to 180)
or, 10x = 180
or, x = 180/10
x = 18
Therefore, the value of x is 18.
Hope this solution may help you☺
Answer:
2x + 3x + 5x = 180(sum of all the interior angles of a triangle is 180° )
10x = 180°
x=180/10
x = 18°
What is the equation of the directrix of the parabola?
Y=3
Y=-3
X=3
X=-3
Answer:
its x=-3
Step-by-step explanation:
what is a 36% markup to $150 dallors
Answer:
Markup amount: $54
New price with markup: $204
Step-by-step explanation:
36% markup to $150
We can find the amount of markup by finding 36% of 150.
36% of $150
Write 36% as a decimal and multiply it by the price
0.36(150) = $54
The amount of markup (36%) is equal to $54
When this is added to the original price, the new price is $150 + $54 = $204
Let me know if you have any questions!
please help i need the explanation to go look back at for similar questions in the future. last word is Bold.
Answer:
50
Step-by-step explanation:
The given angles in the triangle are vertically opposite angles. Hence;
9x - 4 = 8 + 7x
Collect the like terms
9x - 7x = 8 + 4
2x = 12
x = 12/2
x = 6
Get the bolded angle
Bolded angle= 8 + 7x
Blded angle = 8 + 7(6)
Bolded angle = 8 + 42
Bolded angle = 50
Solve y=x³ with function y=fx
Answer:
Hope it will help you!!!!
Find the equation of the images of the following lines when the reflection line is the x-axis:
a. y = -x + 7 b. y = 4
1. The set of ordered pairs {(-2, 4), (0,3), (4,11), (7. - 1)}| defined y as a function of x. Which of the following
output of the function when its input is 4?
A) -1
B)-2
C) 0
D) 11
Answer:d
Step-by-step explanation:because it is i think
Find the constant of variation when t varies directly as s, and t =
260 when s = 65.
Answer:
4
Step-by-step explanation:
Use the direct variation equation, y = kx.
Replace y with t, and replace x with s:
y = kx
t = ks
Plug in 260 as k and 65 as s, then solve for k (the constant of variation):
t = ks
260 = k(65)
4 = k
So, the constant of variation is 4.
Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
x = (500 ft)cos(29°)
x ≈ 437.3 ft
Point Z has the coordinates (−3,5) and is translated left 2 units and down 2 units to create point Z′.
What are the coordinates of point Z′?
Answer:
(-5, 3)
Step-by-step explanation:
it translated left 2 units => x'= x-2
down 2 units=> y'= y-2
Answer:-5, 3
Step-by-step explanation:
3. A pair of sneakers that costs $60.50 is on sale for 20% off. Find the DISCOUNT. (5 Points) $20 O $12.01 $12.10 $48.40
Answer:
12,10
Step-by-step explanation:
60,50:100x20=12.10
What equation can you write to solve for x?
Answer:
(3x) ° + (x+ 10)° = 90°
Step-by-step explanation:
(3x) ° + (x+ 10)° = 90°
3x + x + 10 = 90
4x = 90 - 10
4x = 80
x = 20
(3x) ° = 3 x 20 = 60°
(x + 10)° = 20 + 10 = 30°
Answer: you can either do 3x°(x+10)° or (x+10)°+3x°
the choice is yours. Hope this helps
EXPAND AND SIMPLIFY
Answer:
5⁴a²
Step-by-step explanation:
(5³a³)÷5a-¹×5-²a²
5³a³÷5a-¹×5-²a²
5³a³÷5¹-²×a-¹+²
5³a³÷5-¹a
5³a³/5-¹a
5³-(-¹)a³-¹
5⁴a²
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side KL. Round your answer to the nearest tenth if necessary.
N
17
M
52.5
I
K
G
L
37
H
Answer:
36
Step-by-step explanation:
The diagram below is divided into equal parts. Which shows the ratio of unshaded section to shaded sections
Answer:
its D
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
there is 5 unshaded and one shaded
What is the probability of spinning a natural number and a number less than 5?
Answer:
The probability of spinning a 5 or less is 1/8 or, you can say ⅛
Really Hope I helped! ♡♡♤♤♧♧
The probability of spinning a natural number and a number less than 5 would be 2/3.
What is probability?The probability exists the branch of mathematics involving numerical descriptions of how likely an event is to happen, or how likely it exists that a proposition is true. The probability of an event exists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 demonstrates certainty.
No of total outcomes =6
No of favorable outcomes=4 {1,2,3,4}
Therefore, Probability of getting a number less than 5 is= 4/6 = 2/3.
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ2
A dilation has center (0,0). Find the image of the point B (7/4,-3/4) for the scale factor 1/4.
9514 1404 393
Answer:
B'(7/16, -3/16)
Step-by-step explanation:
The scale factor multiplies each coordinate.
B' = 1/4B = 1/4(7/4, -3/4)
B' = (7/16, -3/16)
Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?
Multiply the polynomials.
(4x- + 4x + 6)(7x + 5)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](4 {x}^{2} + 4x + 6)(7x + 5)[/tex]
[tex] = \: 7x(4 {x}^{2} + 4x + 6) + 5(4 {x}^{2} + 4x + 6)[/tex]
[tex] = \: 28 {x}^{3} + 28 {x}^{2} + 42x + 20 {x}^{2} + 20x + 30[/tex]
Combining like terms, we have
[tex] = \: 28 {x}^{3} + (28 {x}^{2} + 20 {x}^{2} ) + (42x + 20x) + 30[/tex]
[tex] = \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
A book has a front and a back and 400 pages.
The front and back cover are each 0.9mm thick measured to 1 decimal place.
Each page is 0.13mm thick measured to 2 decimal places.
What is the minimum thickness of the book?
Answer:
53.8mm
Step-by-step explanation:
(.9*2)+400(1.3)=53.8
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