The probability that an international flight leaving the United States is delayed in departure in (event D) is .27. The probability of an international flight leaving the United States is a transpacific flight (event P) is .58. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14.
(Q) What is the probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight?
The probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight is 0.241
How to determine the probability?The given parameters are:
P(D) = 0.27
P(P) =0.58
P(D and P) = 0.14
The required probability is then calculated using:
P(D | P) = P(D and P)/P(P)
This gives
P(D | P) = 0.14/0.58
Evaluate
P(D | P) = 0241
Hence, the required probability is 0.241
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determine the amplitude, b value, period, phase shift, and vertical shift for each function. y = 2 sin 3 (x + 3/2π)
Answer:
Amplitude:2
b value: pi/6 ± 2 pi/3
period: 2 pi /3
phase shift: 3/2 pi to the left
vertical shift: 0
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-4x + 2 > 26.
O A. x> 6
O B. x < 6
O C. x>-6
O D. x<-6
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is -4x+2>26?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First subtract 2 on both sides, which results in
-4x>24
Now, divide by -4 on both sides:
x<-6
The inequality sign changed because we divided both sides by a negative number.
So the values of x less than -6 will make this inequality true (will satisfy the inequality).
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - -
When the common ratio of an
infinite geometric sequence is
less than 1, its sum can be
found by the formula
a
where s is the sum, a is the first
term, and r is the common
ratio, What is the sum of the
geometric sequence below?
16,8,4,2.
The sum of the infinite geometric sequence 16, 8, 4, 2 is 32
How to find the sum of a geometric sequence?The sum can be represented as follows:
s∞ = a / 1 - r
where
r = common ratio
a = first term
Therefore,
r = 8 / 16 = 1 / 2
a = 16
hence,
s = 16 / 1 - 1 / 2
s = 16 / 1 / 2
s = 16 × 2 / 1
s = 32
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A car rental company charges $120 plus $0.37 per mile, m. Which equation represents the total cost, c, of renting a car?
the camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
38.88
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
In a particular class of 28 students, 12 are men. What fraction of the students in the class are men?
Answer:
12/28
Step-by-step explanation:
the answer is 12/28 because 12 are men and the rest are mos likely girls,
Answer:
12 / 28
Step-by-step explanation:
Given:
- 28 students total
- 12 are men
so 12 out of the 28 are men which is the same as 12 / 28
If
x
=
−
9
and
y
=
2
, evaluate the following expression:
2
(
y
−
3
x
y
)
Based on a sample of 20 people, the sample mean GPA was 3.25 with a standard deviation of 0.02
The test statistic is:
(to 2 decimals)
The critical value is:
(to 2 decimals)
Using the t-distribution, it is found that:
The test statistic is t = -11.18.The critical value is [tex]t^{\ast} = \pm 2.093[/tex].What are the hypotheses tested?At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:
[tex]H_0: \mu = 3.3[/tex]
At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:
[tex]H_1: \mu \neq 3.3[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 3.25, \mu = 3.3, s = 0.02, n = 20[/tex]
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.25 - 3.3}{\frac{0.02}{\sqrt{20}}}[/tex]
t = -11.18.
We are testing if the mean is different of a value, hence we have a two-tailed test, with 20 - 1 = 19 df and a standard significance level of 0.05, hence, using a t-distribution calculator, the critical value is [tex]t^{\ast} = \pm 2.093[/tex].
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Christine had 157 dollars to begin with. She just spent k dollars. Using k write an expression for the number of dollars she has left.
Answer:
157 - k = (However much she has left)
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
157 --> Base number
k --> how much money was spent
x --> money left over
157-k=x
4.5,4.316,4.32,4.312 from least to greatest
4.5, 4.316, 4.32, 4.312
= 4.500, 4.316, 4.320, 4.312
Look at the thousandths and hundreths place in the decimal section.
Least to greatest = 4.312 < 4.316 < 4.32 < 4.5
Mia has two cylindrical bird feeders. Her red bird feeder has a diameter of 10 inches and is 8.3 inches tall. What is the volume of the red bird feeder?
The volume of the red bird feeder will be equal to V=651.88 cubic inches
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid.
It is given that:-
Diameter = 10 inches
Height = 8.3 inches
Volume=?
Since the feeder is cylindrical so the volume will be calculated as:-
[tex]\rm Volume=\dfrac{\pi }{4}d^2H\\\\\\Volume=\dfrac{\pi }{4}(10)^2(8.3)\\\\\[/tex]
V=651.88 cubic inches
Hence volume of the red bird feeder will be equal to V=651.88 cubic inches
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find the speed and direction of a plane with a velocity of 〈5,-12〉.
Answer:
Below in bold.
Step-by-step explanation:
Speed = √(5^2 + (-12)^2)
= √169
= 13,
Direction = arctan (5/-12)
= -22.61 degrees ( its in the 4th quadrant)
So we can write the direction as 90 + 22.61
= 112.61 degrees.
Can you please Find x I’m trying to finish before school ends
Answer:
-7.35
Step-by-step explanation:
7/x = cos(60)
x = 7(cos(60))
x = 7/(-0.95)
x = -7.35
please help need asap
brainly.com/question/27661391 yo im begging some one to help
Step-by-step explanation:
Find the volume of the candle:
3^2 x 3.14 x 4= 113.04cubic inches.
now divide total wax used by volume of a candle.
3278.16 / 113.04 = 29 candles.
Solve for x.
Your answer must be simplified
15<−5x
Please helppppppppppp
Kenneth bought 15 chicken sandwiches and tuna sandwiches for $35.10. Each chicken sandwich costs $2.30 and each tuna sandwich costs $2.40. How many chicken sandwiches did Kenneth buy?
Help! Can you do a guess and check? Awarding 20 points!
NONSENSE=REPORT
Answer:
the number of chicken sandwiches = 9
Step-by-step explanation:
let x be the number of chicken sandwiches
y be the number of tuna sandwiches
We have to solve this system:
[tex]\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}[/tex]
You flip a coin and then roll a 6-sided number cube (a die).
a. When finding the probability, does it matter whether you roll the die or flip the coin first?
b. Is there more than one way to draw a tree diagram for this problem? If so, does that change the likelihood that any outcome will occur?
c. Draw the shape of the tree diagram that you would use.
d. How many outcomes are there? List them.
e. Find the probability of rolling an even number and getting heads.
Answer:
a) No, it does not matter whether you roll the die or flip the coin first, as these two events are independent of each other, which means they do not affect each other.
b) Yes.
Let event 1 be flipping a coin and event 2 be rolling a die.Let event 1 be rolling a die and event 2 be flipping a coin.The likelihood that any outcome will occur will not change, as the events are independent.
c) see attached
d) 12 outcomes (H = head, T = tail, numbers represent the value of the die)
H 1 T 1
H 2 T 2
H 3 T 3
H 4 T 4
H 5 T 5
H 6 T 6
e)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(head)=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]
They had taken 8 galons of water along the bus. If there were 62 sixth graders and 2 teachers how many cups did each person get
Answer:
2
Step-by-step explanation:
8gallons=16 cup
8x16=128
62+2=64
128÷2=64
look at attachment and try to solve
The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
The problem can be solved as,
The three medians are = CL, AM, and BN.The centroid is point Z.The value of BN, if BZ=30 units, is 45 units.Learn more about Triangle:
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The universal set is the set that contains no elements.
True
False
Answer:
False,
Step-by-step explanation:
The set that contains no elements is the null set Ф.
Answer: True
Step-by-step explanation: Where all inclusive set comprises of a set of all elements, the purge set contains no elements of the subsets.
comparing -4 to -5 integers
what they have in common is that there both Intergers but What's different is that there -1 off
Find the area of a circle with a diameter of 8 cm. Use T = 3.14 Round your answer to the nearest hundredth.
Answer:
25.12
Step-by-step explanation:
c=(pi)(d)
c=3.14*8
c=25.12
The ratio of cats to dogs at pet shelter is 4 to 3. if there are 36 dogs, how many cats are there?
A. 27
B. 36
C. 48
D. 52
Becky bought a display case with a rectangular lid that is 134 feet long and 56 feet wide.
What is the area of the lid?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
ft²
Answer:
1 11/24
Step-by-step explanation:
u multiply both numeators and both denominators for example 1 3/4 5/6 i would first turn 1 3/4 into 7/4 and then multiply
establish the exact displacement expression and shape functions for the given tapered axial member. Formulate the relevant stiffness matrix
The displacement is represented from the starting position to the final position.
What is displacement?Your information is incomplete. Therefore, an overview of displacement will be given. It should be noted that displacement simply means a vector whose length is the shortest distance from the initial position to the final position.
In this case, the displacement will be:
= Final position - Initial position
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What is the slope of the line through (-4,2) and (−4,2)
Answer:
Step-by-step explanation:
there is no slope. they have the same coordinates
find the center and the radius of the circle (x-7)^2+(y+4)^2=81
A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.
What is the equation of the circle with radius r units, centred at (x,y)?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:
(x-h)² + (y-k)² = r²
Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be rewritten as,
(x-7)² + [y-(-4)]² = 9²
Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.
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Simplify 22-2(12/4+2*3)/3+7
Answer: 23
Step-by-step explanation:
A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .
