If Janet rolls a fair 6-sided number cube 300 times, what is a reasonable prediction
on how many times she will roll a 5?
There are 50 predicted rolls for 5 in 300 times of rolls.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Janet rolls a 6-sided number cube 300 times,
Probability = (Favourable Outcomes)/(Possible Outcomes)
Favourable Outcomes: 5 (1 total)
Possible Outcomes: 1,2,3,4,5,6 (6 total)
Probability of a 5 in any given roll of a die = 1/6
1/6x300 = 50 = 50 predicted roll with 5.
Hence, There are 50 predicted rolls for 5 in 300 times of rolls.
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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
Hi! I need help on these 4 questions ASAP!
Answer:
use the app photomath. its free. and shows you all the steps
Step-by-step explanation:
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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Graph the inequality and check the solution.
Waseme swam more than 100 laps.
l > 100
A number line going from 0 to 200.
Check all that apply.
A. Draw a closed circle at 100.
B. Draw an open circle at 100.
C. Shade all numbers to the right of 100.
D. Shade all numbers to the left of 100.
E. 150 is shaded, so substitute 150 in for the variable to check the graph of the solution.
F. 50 is shaded, so substitute 50 in for the variable to check the graph of the solution.
Answer:
B,C,E
Step-by-step explanation:
did the assignment on Edge 2020
B. draw an open circle at 100
C. shade all numbers to the right of 100
E. 150 is shaded, so substitute 150 in for the variable to check the graph of the solution
The graph of given inequality is attached below.
To understand more, check below explanation.
Inequality:Given that, Waseme swam more than 100 laps.
It is represented by inequality shown below.
l > 100
The value 100 is not included in above inequality.
So that, Draw an open circle at 100.
Shade all numbers to the right of 100.
Diagram is attached below.
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Which graph represents the function g(z)=√2-1+1?
In response to the given question, we can state that Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.
what is function?Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.
Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.
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find the surface area
The Surface area of Triangular Prism is 132 cm².
We have have the dimension of prism as
Sides = 3 cm, 4 cm, 5 cm
and, l = 10 cm
and, b= 4 cm
Now, Surface area of Triangular Prism as
= (sum of sides) l + bh
= (3 + 4 + 5)10 + 4 x 3
= 12 x 10 + 12
= 120 + 12
= 132 cm²
Thus, the Surface area of Triangular Prism is 132 cm².
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Hello, help me please))
Answer:
691/8-10/11Step-by-step explanation:
You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.
Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.
__
1.\(\ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}\)
2.\(\ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}\)
3.\(\dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}\)
4.\(\ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}\)
_____
The applicable rules of logarithms are ...
ln(ab) = ln(a) +ln(b)ln(a/b) = ln(a) -ln(b)ln(a^b) = b·ln(a)ln(a) = b ⇔ a = e^bOf course, a square root is the same as a 1/2 power.
The angle times three out of 10 of the circle what is the measure of the angle
The measure of the angle that turns through 3/10 of the circle is 108 degrees.
Define angleAn angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.
Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.
Since a full circle has 360 degrees, 3/10 of the circle can be represented as:
(3/10) x 360 degrees = 108 degrees
Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.
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The complete question is :
The angle turns through 3/10 of the circle. What is the measure of the angle?
Solve: (3x-9) and (x + 5)
Answer:
2
Step-by-step explanation:
Got it right on my test
Simplify the following expression:
√-36+√-100+ 7
O A. 7+ 16i
OB. 7+√136i
O C. 16
C. 16 - 7i
O D. 23 + 0i
Find the distance between the points. Round to the nearest tenth.
(1, 3) and (5.0)
Find the quotient and the remainder when x- + 5x + 2 is divided by x + 1
Answer: The quotient is when x+ 5x + 2 = 6
The reminder is when x+ 5x + 2 = -4
Step-by-step explanation:
Given data,
The quotient and the remainder when x + 5x + 2 is divided by x + 1
Let, f(x) = x + 5x + 2
g(x) = x+1
we can write,
g(x) = x+1 = 0
g(x) = x = -1
so, f(x) = x + 5x + 2
we can substitute x = -1 value
f(x) = x + 5x + 2
f(-1) = (-1) + 5(-1) + 2
f(-1) = (-1) - 5 + 2
f(-1) = (-1) - 3
f(-1) = -4
Therefore,
The quotient is when x+ 5x + 2 = 6
The reminder is when x+ 5x + 2 = -4
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In American roulette, you may bet whether the number that comes up is odd (or even) on a ball landing on one of 38 sectors numbered 1 through 36 and including 0 and 00. (Remember that 0 and 00 do not count as either odd or even.) The wager pays even money; that is, if you win, you get whatever you bet, and if you lose, you lose that same amount. What is your expected value for this bet?
The expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0)
What is American roulette?
Guessing on which number on the wheel ball will come to rest is the objective of American Roulette. Every number contains the same chances as any other number of coming up on each spin (that is winning number on any spin has no effect on the outcome of next spin). The best chance of payout is provided by an outside bet. The possible outcomes of the game of roulette is covered by 'outside bets'. With the higher winning chances, the payout is not going to be incredibly generous(it's only 1:1 for bets like odd or even that covers almost like half the wheel).
Expected value is calculated by adding all the different possible outcomes multiplied by their probabilities.
So, in this case (0.5 x $2) + (0.5 x $1).
For specific example it would be determined by the number of options on a roulette wheel (generally 37).
So winning on this bet in 18 outcomes (the even numbers) and losing on 19 outcomes (the odd numbers + 0).
Putting it all together, the expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0).
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Which expression is equivalent to (1/2(cos(pi/5)+ i sin(pi/5)))^5
a. 1/32(cos(pi/5) + i sin (pi/5))
b. 1/32(cos(pi) + i sin (pi))
C. 1/10(cos(pi/5) + i sin (pi/5))
d. 1/10(cos(pi) + i sin (pi))
Answer:
B
Step-by-step explanation:
did the course
The equivalent complex expression of \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\) is
\(\frac{1}{32} (cos(\pi)+i~sin(\pi))\)
The correct answer is an option (b)
What is complex number?"The number of the form a + ib, where a, b are real numbers and \(i=\sqrt{-1}\)"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
\((r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))\) "
For given question,
We have been given a complex expression \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\)
Using the DeMoivre's theorem,
\((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=(\frac{1}{2})^5~((cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=\frac{1}{32} (cos(\frac{5\pi}{5} )+i~sin(\frac{5\pi}{5} )) )\\\\= \frac{1}{32} (cos(\pi)+i~sin(\pi))\)
Therefore, the equivalent complex expression of \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\) is
\(\frac{1}{32} (cos(\pi)+i~sin(\pi))\)
The correct answer is an option (b)
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Find f(5). f(x) = x2 +2x
Answer:
f(5) = 35
Step-by-step explanation:
In any function f(x), x is the input and f(x) is the output
Example:
f(x) = 2x + 3, find f(a)
That means we need to find value of f(x) at x = a, so substitute x by a
f(a) = 2(a) + 3 = 2a + 3
f(a) = 2a + 3
Let us use the same way to solve our question
∵ f(x) = x² + 2x
→ We need to find f(5), so substitute x by 5
∴ f(5) = (5)² + 2(5)
∴ f(5) = 25 + 10
→ Do addition
∴ f(5) = 35
X =
Solve for x,
using the secant lines.
[?
8 cm
20 cm
X
13 cm
Round to the
nearest tenth.
cm_ Remember: a·b= c.d
Enter
Using the formula for lines intersecting in a circle, we get the value of x to be = 32.5cm.
What are lines inside circle?A diameter is a line segment that traverses a circle by going through its centre.
The radius is twice as long as the diameter. A chord is a segment that does not have to pass through the centre and has endpoints on the circle.
We know that in a circle when lines are intersecting each other than the lines divided are in the formula:
a × b = c × d
Here,
13 × 20 = 8 × x
⇒ x = 260/8
⇒ x = 32.5cm.
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Convert: 2 pounds ounces Submit convert it
Answer:
Every 2 pounds its 32 ounces
Step-by-step explanation:
Answer:
32 oz (ounces)
Step-by-step explanation:
1 lb = 16 oz
16
x 2
-----
32 oz = 2 lbs
6. The fixed costs of producing a Wild Widget are $34,000. The variable costs are $5.00 per widget. What is the average cost per widget of producing 7,000 Wild Widgets? Round to the nearest cent. :))))
Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.
Fixed costs: $34,000
Variable costs per widget: $5.00
Total costs = Fixed costs + (Variable costs per widget × Number of widgets)
Total costs = $34,000 + ($5.00 × 7,000)
Total costs = $34,000 + $35,000
Total costs = $69,000
Average cost per widget = Total costs / Number of widgets
Average cost per widget = $69,000 / 7,000
Average cost per widget ≈ $9.86
Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.
Step-by-step explanation: :)
PLEASE HURRY
The table of values below represent an exponential function. Find the constant ratio of successive y-values.
Answer:
Answer is 1.33
I hope you like it
Answer choice A is right.
uf,yd,hfjf
What type of correlation would be expected between distance run and calories burned? Would this relationship be causal?
Answer:
Positive correlation, but not causal
Answer: positive correletion/casual
Step-by-step explanation:
A cone has a volume of 2560 Pi cm cubed and a height of 30cm. Find the radius
A washer and dryer cost a total of $1100. The cost of the washer is three times the cost of the dryer. Find the cost of esch item.
Answer: Washer= 825
Dryer= 275
Step-by-step explanation
Divide 1100 by 4. Which gives you 275.
Then do 275 x 3. Which equal 825.
If you add up 275 plus 825 it equal 1100.
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0Can someone please help awnser these.
The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm
Given are the circles and the circular items we need to find their circumference,
Circumference of a circle = 2π × radius = Diameter × π
4. a) Circumference = 5 × 3.14 = 15.7 cm
b) Circumference = 8.36 × 3.14 = 26.25 m
5. a) Circumference = 41 × 3.14 = 128.74 cm
b) Circumference = 13 × 3.14 = 40.82 mm
c) Circumference = 14.3 × 3.14 = 45 cm
6.
The perimeter of the cloth = circumference of the circular ends plus length in the middle,
= 76 × 2 × 3.14 + 150 × 2
= 477.28 + 300
= 777.28 cm
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The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
The statement about the function is: "The function is decreasing for all real values of x where x < -4." D.
The given information tells us that the graph represents a downward-opening parabola.
The vertex of the parabola is located at (-4, 4) indicates that this point is the highest point on the graph.
As we move to the left of the vertex, the function values decrease, indicating a decreasing trend.
Moreover, the graph passes through the point (-6, 0), which lies to the left of the vertex.
This confirms that the function is decreasing for all real values of x less than -4, including x < -6.
On the other hand, the graph also passes through the point (-2, 0), which lies to the right of the vertex.
This does not impact the conclusion that the function is decreasing for x < -4, as the graph's behavior to the right of the vertex is not relevant to this particular statement.
Based on the given information and the properties of the downward-opening parabola, we can conclude that the function is decreasing for all real values of x where x < -4.
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Simplify.
2 - 4 x 3 + 6 x 3
• 0
• 12
• 8
• -28
Answer:
8
Step-by-step explanation:
Make r the subject of the formula
Answer:
\(r=\frac{-a+p}{a+p}\)
Step-by-step explanation:
\(-pr+p=ar+a\)
\(-ar-pr+p=a\)
\(-ar-pr=a-p\)
\(r(-a-p)=a-p\)
\(r=\frac{-a+p}{a+p}\)
Answer:
\(r = \frac{p - a}{(p + a)} \)
Step-by-step explanation:
\(p = \frac{a(1 + r)}{(1 - r)} \\ p(1 - r) = a(1 + r) \\ p - pr = a + ar \\ p - a = pr + ar \\ p - a = r(p + a) \\ \frac{p - a}{(p + a)} = \frac{r(p + a)}{(p + a)} \\ \frac{p - a}{(p + a)} = r\)
hope this helps
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HELP!!!!!!!!!!!!!!!!!!!!!
The options that represents the area of the rectangle are as follows:
20(7.5 + x)20x + 150How to find area of a rectangle?area of a rectangle = lw
where
l = lengthw = widthTherefore,
length = (7.5 + x) ft
width = 20 ft
Therefore,
area of rectangle = 20(7.5 + x)
area of rectangle = 150 + 20x
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i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?
Answer:
you will pay $60
Step-by-step explanation:
25% (1/4) of 80 is 20
subtract 20 from the total (80)
80 - 20 = 60
$60
Answer:
60
Step-by-step explanation:
So if you get 25% off, you're basically paying 75%.
So first, convert the percentage to a decimal:
75% = 75/100 = 0.75
Now just multiply the decimal by the total cost:
80$ (0.75) = $60