Answer:
a. 482
b. 9.0
Step-by-step explanation:
The speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph
How does air stream affects speed of flight?Flight speed in air stream = Flight speed in still air + effect of air stream
If the flight is going opposit, then:
Flight speed in air stream = Flight speed in still air - speed of air streamIf the flight is going along with flight, then:
Flight speed in air stream = Flight speed in still air + speed of air streamFor this case, we're specified that:
Distance from Detroid to Paris is approx 3930 milesTime it takes by flight along the air stream = 8 hoursTime it takes by flight against the air stream = 8.3 hoursSpeed of flight along the stream is:
[tex]S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8} = 491.25 \: \rm mph[/tex]
Speed of flight against the stream is:
[tex]S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8.3} \approx 473.49 \: \rm mph[/tex]
Let the speed of air stream be y, and that of the flight in still air be x miles per hour, then we get:
Along air stream:
[tex]x + y =491.25\\[/tex] (in miles per hour)
and Against the stream:
[tex]x - y =473.49\\[/tex] (in miles per hour)
Adding both the equations side by side, we get:
[tex]2x + y - y = 491.25 + 473.49\\\\x = \dfrac{964.74}{2} =482.37 \: \rm mph[/tex]
Using this value, we get the value of y as:
[tex]x + y =491.25\\y = 491.25 - x = 491.25 - 482.37 = 8.88 \: \rm mph[/tex]
Rounding to the nearest whole numbers, we get:
x = 482 mph, and y = 9 mph
Thus, the speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph
Learn more about motion in stream here:
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Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)
Answer:
d
Step-by-step explanation:
P(boy above average grades) P(above average grades) is the right answer. The correct option is C.
What is conditional probability?The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).
We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.
A. Boy with above-average grades equals a boy.
This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.
B. Boy with above-average grades equals P with above-average grades
This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.
P (boy with above-average grades) C (boy with above-average grades)
This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.
D. P(boy | grades over average) = P(boy)
This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.
Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).
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2p – 194.99 = 284.97
Simplify 2y + 3y / 2 + 6y + 7y2
Answer:
19y/2 + 7y2
Step-by-step explanation:
I need this help me
Step-by-step explanation:
the answer is 2/9
2/9 is .2222222 continuing
2/10 is 0.2
22/1000 is 0.022
2/8 is 0.25
What does 2/6 + 3/6 equal?
Answer:
0.83333333333
Step-by-step explanation:
Someone PLEASEEE HELP ME WITH THISSS
Answer:
6 out of 100 and 3 out of 50
Step-by-step explanation:
10. Simplify x + 6 - 3x – 8.
Answer: =-2(x+1)
Step-by-step explanation:
Answer:
-2x-2
Step-by-step explanation:
6-8=-2
x-3x=-2x
There are 7 red marbles, 7 blue marbles, 7 yellow marbles, and 7 green marbles in a bag. If a person randomly selects 1 marble from the bag, what is the probability that the person selects a blue marble?
Total marbles: 7 + 7 + 7 + 7 = 28
There is a total of 28 marbles. 7 are blue.
The probability is the number of blue/ total marbles = 7/28 which reduces to 1/4
The probability is 1/4
Answer:
have a good day/night may i please have a branllist
Step-by-step explanation:
1/3
There is 21 marbles and if you divided by 3 it gets 7.
7/21 is equal to 1/3
Therefore the possibility of picking a blue marble is 1/3.
there are an equal amount of all three colors of marbles in the bag, so the probability of selecting a blue marble is just 1/3.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 99.6% of people with the disease test positive and only 0.05% who do not have the disease test positive. What is the probability that someone who tests positive has the genetic disease
Answer:
The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease
Step-by-step explanation:
The number of persons in 10,000 people that have the disease = One
The percentage of people with the disease that test positive = 99.6%
The percentage of people who do not have the disease test positive = 0.05%
The probability that someone who tests positive has the genetic disease
[tex]P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}[/tex]
P(disease) = 0.01% = 0.0001
P(positive disease) = 99.6% = 0.996
P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999
P(positivenodisease) = 0.05% = 0.0005
Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.
Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5
Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive
The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%
Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease
We have;
[tex]P(disease | positive) = \dfrac{0.0001 \times 0.996}{0.0001 \times 0.996 + 0.9999 \times 0.0005} = 0.16612459344[/tex]
is it required to pay for class dues in high school?
Answer:
Yes, if you want to graduate yes
3 that aren’t answered please, ill give brainiest
Answer:
7: 113.1 yd
In terms of Pi: 36π
8: 326.85 in
In terms of Pi: 104π
6: 452.39 km
In terms of Pi: 144π
Step-by-step explanation:
What integer represent 11 degrees above zero?
Find the perimeter of the figure.
My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?
4 1/8 take away 1 1/2
Find the slope of the line that passes through each pair of points. S[22, 22), T(3, -11)
Answer:
33/19
Step-by-step explanation:
slope = [tex](-11-22)/(3-22) = -33/-19 = 33/19[/tex]
Hey answer equation please thanks
Answer:
30 y
Step-by-step explanation:
We need to multiply 5 by 4y and 5 by 2 y
20y + 10y = 30y
Answer:
30 y
Step-by-step explanation:
You are supposed to distribute(multiply) the 5 with 4y+2y inside the parentheses. Just multiply the 4y by 5 to get 20y and then 2 y with 5 to get 10 y. Your answer should be come out to be 20y + 10y. Since they both use the same variable (y), add them together to get 30y
Solve the system using subtraction
X+4y =26
4x+5y=27
Please help explain how to do this with finding correct answer
10 Points Please help me
WILL MARK BRAINLEST
Does the volume of a cone increase more when you double the height of the original or when you double its radius? Explain why.
Answer:
When you double it's radius
Step-by-step explanation:
Volume of cone = 1/3(π)(r²)h
the height is a constant proportion but the radius is squared in the calculation of the base area.
Doubling the height would double the volume. Doubling the radius would more than double the volume.
Example:
a height of 4 to a height of 8 would double the volume. (the base would not change)
a radius of 4 to a radius of 8 would triple the volume. ( the base area would go from 16π to 64π)
giving brainliest!!! easy
Answer:
216
Step-by-step explanation:
area of one side-6x6=36. 36x6=216
https://discord.com/channels/831320243858178088/831320244437254146/831690199184179221Step-by-step explanation:
Which quadrilaterals always have two pairs of congruent angles?
Answer:
A kite is a quadrilateral with exactly two pairs of adjacent congruent sides
Step-by-step explanation:
yw!!
what does 3 x 2/5 equal?
Answer:
you would get 1.2
Answer:
Step-by-step explanation:
exact form 6/5
decimal form 1.2
mixed number form 1 1/5
A rectangular lawn measuring 24 feet by 16 feet is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 660 square feet. What is the width of the flower bed?
Answer:
6 feet
Step-by-step explanation:
(24+x)(16+x)=660
384+24x+16x+x²=660
x²+40x-276=0
x`= 6
x```= -46......no serve
Answer......is 6 feet
The width of the flower bed is 6 feet.
What is the area of a rectangle?The area of any shape is the number of unit squares that fit inside it. Here "unit" refers to 1, and a unit square is a square with sides of 1 unit.So the area of a rectangle is the number of unit squares within the bounds of the rectangle.Alternatively, the space occupied around this shape is called the area of the rectangle.The area occupied by the bounding rectangle is called the rectangular area.Area can be defined as the amount of space covered by a plane of a particular shape.It is measured in "number" of square units (square centimeters, square inches, square feet, etc.).The area of a rectangle is the number of unit squares that fit in the rectangle.Examples of rectangles are flat surfaces such as laptop monitors, chalkboards, and canvases.6 feet is the width of the flower bed.
(24+x)(16+x)=660
384+24x+16x+x²=660
x²+40x-276=0
x`= 6
x```= -46 which cannot be the case, therefore 6 feet is the width of the flower bed.
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69 POINTS PLS ACTUALLY ANSWER IT NEED THIS FAST The value of the expression 2/3+3/2-3x4-5/2 divided by 5+(7x4) is what?
Answer:
your answer is "17.6666666667"
Step-by-step explanation:
is 2.65 = 53/20 true or false and show work
Answer:true
Step-by-step explanation:
Sam kicks a ball from the ground with an initial velocity of 48 feet per second. The ball soars into the air, arcs down with parabolic motion, and lands back on the ground. Write an equation to describe the height of the ball as a function of time, using the vertical motion formula below.
h(t)=-16t^(2)+v_(0)t+s
solve the equation and explain the solution
Answer:
the answer is most likely x=5squa4ed
Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Answer:
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Step-by-step explanation: concept
Answer: Multipulcation
Step-by-step explanation:
The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]
Select the correct answer.
f(x)=21 + 3?
41 – 8
Which graph shows the asymptotes of the function
Answer:
answer is b jejejejsjsjwj
Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change
Answer:
40%
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