The probability that 3 separate flights will all take place is 0.531441
let A = event of scheduled flight actually take place
According to the question, P(A)=0.81
Given that 3 separate flights will all take place is an independent event.
Hence, we can use the multiplicative rule which says If the probability that one given flight takes place is 0.81 then the probability of 3 flights taking place is:
P(A∩B∩C) = P(A)*P(B)*P(C)
= 0.81*0.81*0.81
= 0.531441
so, the Probability that 3 separate flights will take place is 0.531441
The formula used for independent events:
P(A∩B∩C) = P(A)*P(B)*P(C)
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Select the correct answer from each drop-down menu. Graph of a four-sided polygon on a coordinate plane at A (minus 1, minus 1), B (0, 1), C (2, 2), and D (2, minus 1). In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′ is at , and point D′ is at .
From (0, 0), the points A and D in the graph are at (-1, -1) and (2, -1) respectively.
How to depict the graph?Since the scale factor is 2, every point will be moved twice a distance in both directions. (x and y).
So, multiplying both coordinates by 2, we will get the dilated points.
Hence, A' will be at (2 × (-1), 2 × (-1)) = (-2, -2) and D' will be at (2 × 2, 2 × (-1)) = (4, -2).
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if k = √(49 - 12√5), then find the value of k +2
Step-by-step explanation:
k = √(49 - 12√5)
= √(45 + 4 - 2 √180)
= √45 - √4
= 3 √5 - 2.
So, k + 2 = 3 √5 - 2 + 2 = 3 √5.
Answer:
k + 2 = 3√5
Explanation:
[tex]\sf Given: k = \sqrt{49 - 12\sqrt{5} }[/tex]
[tex]\sf \rightarrow k = \sqrt{49 - 12\sqrt{5} }[/tex]
step 1: breakdown
[tex]\sf \rightarrow k = \sqrt{4 + 45- 2 \times 2 \times 3 \sqrt{5} }[/tex]
step 2: rewrite 45 = (3√5)²
[tex]\sf \rightarrow k = \sqrt{4 + (3\sqrt{5})^2 - 2 \times 2 \times 3 \sqrt{5} }[/tex]
step 3: rearrange as per a² -2ab + b² = (a - b)²
[tex]\sf \rightarrow k = \sqrt{ (3\sqrt{5})^2 - 2 \times 3 \sqrt{5} \times 2 +2^2}[/tex]
step 4: comparing, here: a = 3√5, b = 2
[tex]\sf \rightarrow k = \sqrt{ (3\sqrt{5} -2)^2}[/tex]
step 5: simplify √a² = a
[tex]\sf \rightarrow k = 3\sqrt{5} -2[/tex]
Then find k + 2
[tex]\rightarrow \sf k = 3\sqrt{5} -2 + 2[/tex]
[tex]\rightarrow \sf k = 3\sqrt{5}[/tex]
Lm=
Help me please. Thank u so much
Using circle theorem, If MN has a length of π cm, the length of LM is π√3 cm
How to find the length of LM in the circle?ΔMON = equilateral triangle.
Equilateral triangle has all its sides and angle equal to each other.
Therefore,
MN = π
Hence,
ON = MN = OM = π
ON = radius of the circle
Therefore,
LN = π+ π = 2π
Using circle theorem,
∠LMN = 90 degrees
Therefore, using Pythagoras theorem,
LM² = (2π)²- π²
LM² = 4π² - π²
LM = √3π²
LM = π√3 cm
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what would be the right answer to 71,526 + 262
Answer:
71,788
Step-by-step explanation:
7 1 5 2 6
+ 2 6 2
____________
7 1 7 8 8
Which function represents a reflection of f(x) = 2*
Answer:
h(x)=2x-1
Step-by-step explanation:
The Given function is
f(x) =2*(0.35)* x
→y=0.7* x→Pre image
The line passes through first and third quadrant.
it is equation of straight line passing through origin and slope =0.7.
When this line is reflected over y axis , the equation of new line will be
→y= - 0.7 x⇒image
Slope of image will be = -0.7
The Image passes through Second and fourth Quadrant.
(05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to
answer the following questions:
y > 5x + 5
y>-2x+1
Part A: Describe the graph of the system, including shading and the types of lines graphed.
Provide a description of the solution area. (6 points)
Part B: Is the point (-2, 5) included in the solution area for the system? Justify your answer
mathematically. (4 points)
(10 points)
The point (-2, 5) is not included in the solution area
The graph of the inequalitiesThe system of inequalities is given as:
y > 5x + 5
y > -2x+1
See attachment for the graph.
Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded
The solution areaThe point is given as:
(-2, 5)
The point (-2, 5) is not in the shaded area of the system of inequalities
Hence, the point is not included in the solution area
Mathematically, we have:
5 > 5 * -2 + 5 ⇒ 5 > -5 --- true
5 > -2 * -2 +1 ⇒ 5 > 5 --- false
Since both inequalities are not true, then the point is justified
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Find the missing part of the
unit rate:
21 Cards
3 Piles
=
[?] cards
Pile
Answer:
7
Step-by-step explanation:
Given,
3 Piles = 21 cards
1 Pile = (21 ÷ 3) cards
= 7 cards.
Answer:
7
Step-by-step explanation:
Because there is 7 cards in 1 pile. it follows the ratio of 7:1
What is the correct way to represent 5600 l using scientific notation? –5.6 times. 103 l –5.6 times. 10–3 l 5.6 times. 10–3 l 5.6 times. 103 l
Answer:
5.6 x [tex]10^{3}[/tex]
Step-by-step explanation:
5600 is 5.6x10^3 in scientific notation.
5.6 x [tex]10^{3}[/tex]
Answer:
D. 5.6 × 10³ L
Edge
The sample size needed to provide a margin of error of 2 or less with a .95 probability when the population standard deviation equals 11 is
The sample size needed to provide a margin of error of 2 or less with a .95 probability when the population standard deviation equals 11 is 116.
Given margin of error of 2,probability of 0.95 and standard deviation is 11.
We have to calculate the sample size needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation of 11.
We know that the margin of error is the difference between the calculated values and actual values.
Margin of error=z*σ/[tex]\sqrt{n}[/tex]
where z is z value ,σ is standard deviation ,n is the sample size.
First we have to calculate the z value for the corresponding p value which is given of 0.95. We assume that the test is two tailed. z value is 1.96.
Now put the value of z , σ, n and margin of error in the formula of margin of error to get the value of n which is sample size.
2>=1.96*11/[tex]\sqrt{n}[/tex]
[tex]\sqrt{n}[/tex]>=(1.96*11)/2
[tex]\sqrt{n}[/tex]>=10.78
By squaring both sides we get,
n>=116.2064
Hence the sample size which is needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation equals 116.
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How do I solve y=x-2 and y=3x+5?
Answer:
x = -7/2 and y = -11/2
Step-by-step explanation:
These equations are known as slope-intercept equations.
Slope-intercept equation are a type of linear equation.
The slope-intercept format is: y = mx + b
m = the slopeb = the y-interceptBecause there are two equations, this would be a system of equations.
So, to figure this out, we need to use the substitution method.
_____________________________________________
Problem:
Solve y=x−2;y=3x+5
Solution:
Step: Solve y=x−2 for y:
Step: Substitute x-2 for y in y = 3x + 5:
y = 3x + 5
x - 2 = 3x + 5
x−2+−3x=3x+5+−3x(Add -3x to both sides)
−2x−2=5
−2x−2+2=5+2(Add 2 to both sides)
−2x=7
-2x/-2 = 7/-2 (Divide both sides by -2)
x = -7/2
Step: Substitute -7/2 for x in y = x - 2:
y = x - 2
y = -7/2 - 2
y = -11/2(Simplify both sides of the equation)
Answer:
x = -7/2 and y = -11/2
find x
(9, x) and (3, 4); slope of -8/5
i know we have to use the formula of y2-y1/x2-x1
but it’s not working for me and i need help
Answer:
x = -5.6
Step-by-step explanation:
Using the given coordinates in the given slope formula, we have ...
(y2 -y1)/(x2 -x1) = -8/5 . . . . . using the given slope
Setup(4 -x)/(3 -9) = -8/5 . . . . substituting (9, x) for (x1, y1) and (3, 4) for (x2, y2)
SolutionMultiplying by 30, we have ...
5(x-4) = -48
5x -20 = -48 . . . . eliminate parentheses
5x = -28 . . . . . . . . add 20
x = -5.6 . . . . . . . . divide by 5
__
Additional comment
In the attachment, we have written the point-slope equation of the line, then found the point on that line that has a x-coordinate of 9. We see the y-coordinate of that point is -5.6, as computed above.
If you swap the points (x1, y1) and (x2, y2), then the slope equation ends up with fewer minus signs to handle.
Help
NSNDNDNDN DNDNDN
Which expression is equivalent to[tex]18x\sqrt{14x^8}/6\sqrt{7x^4[/tex] if [tex]x\neq 0[/tex]
a. [tex]12x^4\sqrt{2}\\[/tex]
b. [tex]3x^4\sqrt{2}[/tex]
c. [tex]3x^4\sqrt{7}[/tex]
d. [tex]3x\sqrt{2}[/tex]
The equivalent expression is [tex]3x^4\sqrt{2}[/tex] . Option B
How to determine the expression
Given the expression
= [tex]\frac{18x\sqrt{14x^8} }{6\sqrt{7x^4} }[/tex]
Divide the multipliers, we have
= [tex]\frac{3x\sqrt{14x^8} }{7x^4}[/tex]
Let factorize the numerator in square root
= [tex]\frac{3x \sqrt{7x^4 * 2x^4} }{7x^4}[/tex]
Eliminate the like factor in both the numerator and denominator
= [tex]3\sqrt{2x^4}[/tex]
Let's bring forth the 'x' factor, we have
= [tex]3x^4\sqrt{2}[/tex]
Thus, the equivalent expression [tex]3x^4\sqrt{2}[/tex] . Option B
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why is it important to learn valid proportions
B = 54°, c = 15, a =_?___ (Round answers to
the nearest hundredth.)
Answer:
a ≈ 8.82
Step-by-step explanation:
using the cosine ratio in the right triangle
cos54° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{15}[/tex] ( multiply both sides by 15 )
15 × cos54° = a , then
a ≈8.82 ( to the nearest hundredth )
THE NUBER OF PEOPLE CONTACTED
Answer:
option c, x = 3
Step-by-step explanation:
Given:
f(x) = 27f(x) = [tex]3^{x}[/tex]Since both equal f(x) they must be equivalent as well,
[tex]3^{x} = 27\\[/tex]
Apply exponent rule, 3 x 3 x 3 = 27
hence x = 3
Find the value of x:
Answer:
x=20
Step-by-step explanation:
a) isolate the variable
K-8=12
10-4=6
Which expression can be used to find the difference of the polynomials? (4m – 5) – (6m – 7 2n) (4m – 5) (6m 7 2n) (4m – 5) (–6m 7 2n) (4m – 5) (–6m – 7 – 2n) (4m – 5) (–6m 7 – 2n)
Which graph has the same end behavior as the graph of f(x)=x⁴+x³-x²-x
Using limits, a graph that goes to positive infinity when [tex]x = -\infty[/tex] and [tex]x = \infty[/tex] would have the same end behavior as the function [tex]f(x) = x^4 + x^3 - x^2 - x[/tex].
What is the end behavior of a function?It is given by it's limits as x goes to negative and positive infinity.
In this problem, the function is:
[tex]f(x) = x^4 + x^3 - x^2 - x[/tex]
The limits are:
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} x^4 + x^3 - x^2 - x = \lim_{x \rightarrow -\infty} x^4 = (-\infty)^4 = \infty[/tex].[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} x^4 + x^3 - x^2 - x = \lim_{x \rightarrow \infty} x^4 = (\infty)^4 = \infty[/tex].A graph that goes to positive infinity when [tex]x = -\infty[/tex] and [tex]x = \infty[/tex] would have the same end behavior as the function [tex]f(x) = x^4 + x^3 - x^2 - x[/tex].
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A 2-column table with 5 rows. Column 1 is labeled Number of chores, x with entries 2, 4, 6, 8, 10. Column 2 is labeled Days, y with entries 1, 2, 3, 4, 5. The table shows the number of days required to perform a given number of chores. The number of days varies directly with the number of chores. What is the constant of variation? 2 3 One-half One-third\
The constant of variation based on the information is one half.
How to illustrate the information?From the information given, when x is 2, y is 1, when x is 4, y is 2, etc. It should be noted that this is a direct variation.
This will be illustrated as:
y = kx
when y = 1, x = 2.
1 = 2k
Divide both side by 2.
k = 1/2
Therefore, the constant of variation is 1/2.
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Use linear regression to find a
function that fits the following
points.
(0,5), (2,-13)
y = [? ]x + []
A function that fits the following points (0,5), (2,-13) is y = 9x + 5
Equation of a line
The equation of a line in slope-intercept form is expressed as;
y =mx +b
where;
m is the slope
b is the intercept
Given the following coordinates (0,5), (2,-13)
Slope = -13-5/2-0
Slope = -18/-2
Slope = 9
Since the y-intercept is b = 5, hence the equation of the line will be y = 9x + 5
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Calculate the angle of depression from the
top of the flag pole to point A.
Give your answer to 1 d.p.
A
34 feet
23 feet
Answer: [tex]42.6^{\circ}[/tex]
Step-by-step explanation:
Let the angle of depression be x.
[tex]\sin x=\frac{23}{34}\\\\x=\sin^{-1} \left(\frac{23}{34} \right) \approx 42.6^{\circ}[/tex]
In triangle ABC, < a =25
The measures of the remaining side lengths of the triangle, AC and BC is 72 units and 31 units respectively.
Angle B of the triangleB = 180 - (25 + 55)
B = 100⁰
Length of side ACsin (B)/AC = sin (C)/AB
sin (100)/AC = sin (55)/60
sin (100)/AC = 0.01365
AC = sin (100) / (0.01365)
AC = 72 units
Length side BCsin (A)/BC = sin (C)/AB
sin (25)/BC = sin (55)/60
sin (25)/BC = 0.01365
BC = sin (25) / (0.01365)
BC = 31 units
Thus, the measures of the remaining side lengths of the triangle, AC and BC is 72 units and 31 units respectively.
The complete question is below:
In triangle ABC angle A= 25, angle C= 55 and length AB = 60 . What are the approximate measures of the remaining side lengths of the triangle?
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Answer: A
Step-by-step explanation: edge2023
Every weekend me and my brother and my cousin go outside to play basketball and when i was the one who will shoot the ball to the ring i used the things i learned in math so I use SOH-CAH-TOA in measuring it. I want to measure the distance between me and the basketball ring. Supposed the height of the ring is 8ft from the ground and the distance between me and the basketball ring horizontally is 11.5 ft, and the angle of elevation from the ground is 50 degrees, now what is the distance of me and the ring?
Let x be the distance between me and the ring
need urgent answers with equation
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
1) Since we know two of the sides of that right-angled triangle, we can use the Pythagorean Theorem to find x. His theorem is: [tex]c^2 = a^2 + b^2[/tex].
Substitute the values into the formula above.
Let x = c
[tex]c^2 = 8^2 + 11.5^2\\c^2 = 196.25\\c= \sqrt{196.25}\\c=14[/tex]
Which fraction is greater than the fraction represented by the model?
1/4
7/16
1/8
3/16
Answer:
7/16 is greater than the fraction represented by the model.
Step-by-step explanation:
The fraction represented by the model is 1/4. 7/16 is greater than 1/4 because it has a greater numerator and a smaller denominator.
Answer:
1/4 because the question is disinigrating 1/4 of my brain cells, because we can’t see the model…
Step-by-step explanation:
Jason has bought a new pool and has already measured some of the sides. Using the figure below and your knowledge of quadrilaterals, solve for x and y. (Round to the nearest tenth as needed.)
If Jason has bought a new pool and has already measured some of the sides. x is 16 and y is 6.
ParallelogramSolving for x using Pythagoreans theorem
5² + x² = 17²
x² = 289- 25
x = √264
x = 16
Since the shape is a parallelogram shape. Hence:
x = y
y = 16
Therefore If Jason has bought a new pool and has already measured some of the sides. x is 16 and y is 6.
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For every 3 kids movies, there will be how many horror movies?
kids movies = 24
horror= 32
Answer:
The answer will be 8
Step-by-step explanation:
SInce you notice there is movies with an 8 difference....
Answer:
4 horror movies
Step-by-step explanation:
This seems to be a problem related to ratios. We are given that, for every 24 kids' movies, there are 32 horror movies. We need to figure out how many horror movies there would be if there were just 3 kids' movies. We can set up an equation using proportions:
[tex]\frac{24}{32}=\frac{3}{x}[/tex]
We don't know how many horror movies there would be so we can let this quantity equal x. Now, we can cross multiply and solve for our unknown:
[tex]24x = 3*32\\24x = 96\\x = 4[/tex]
This means that there are 4 horror movies
A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation y + 11 = Negative StartFraction 7 Over 9 EndFraction (x minus 18)? a It has the same slope and the same y-intercept. b It has the same slope and a different y-intercept. c It has the same y-intercept and a different slope. d It has a different slope and a different y-intercept.
The way that this linear function compares to y+11 is that It has the same slope and the same y-intercept.
What is a linear function?This is the type of function that would produce a line when it is graphed out.
When we write out the equations in 1 and 2 we would see that they are basically the same type of equation. A linear equation is made up of the slope and the intercept.
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Answer:
A) It has the same slope and the same y-intercept.
Step-by-step explanation:
I really hope this helps.
The following data is organized from lowest to highest. (123, 125, 127, 141, 149, 185, 203, 215, 234, 234, 252, 279, 302, 303, 321, 327, 350, 358, 404, 425) What is the value of the median
Answer:
the median of th given data is 243
Justin's rice ball recipe uses 100 grams of rice to make 1 rice ball. Justin has 700grams of rice.
How many rice balls can Justin make with 700 grams of rice?
The number of rice balls Justin can make with 700 grams of rice is 7.
How many rice balls can Justin make?
In order to determine the rice balls he can make, divide the grams of rice he has by the grams needed to make one rice ball. Division is the process of grouping a number into equal parts using another number.
Rice balls he can make = 700 grams / 100 grams = 7
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Answer:
7 rice balls
Step-by-step explanation: