A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only .9 hours. What is the plane's speed in still air, and how fast is the wind blowing?

Answers

Answer 1

Answer:

90 mi/h

Step-by-step explanation:

Calculate speed, distance, or time using the formula d = st, distance equals speed times time. The Speed Distance Time Calculator can solve for the unknown sdt value given two known values.

Time can be entered or solved for in units of seconds (s), minutes (min), hours (hr), or hours and minutes and seconds (hh:mm:ss).  

To solve for distance use the formula for distance d = st, or distance equals speed times time.

distance = speed x time

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.

distance = rate x time

To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.

speed = distance/time

To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.

time = distance/speed

Plane speed in still air: 120mph

Wind speed: 30pmh

Speed of plane to Bismarck: 90mph

Speed of plane to Fargo: 150mph


Related Questions

PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED

Answers

Answer:

Answer 2  i think

i did it myself and that what got i might have done it wrong.

The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poisson probability distribution, with an arrival rate of 8 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 10 boats per hour. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously.
A. What is the probability that the boat dock will be idle? Round your answer to four decimal places.
P0=
B. What is the average number of boats that will be waiting for service? Round your answer to four decimal places.
Lq=
C. What is the average time a boat will spend waiting for service? Round your answer to four decimal places.
Wq=
D. What is the average time a boat will spend at the dock? Round your answer to four decimal places.
W=
E. If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing? Round your answers to whole numbers.
Because the average wait time is ____ seconds. Each channel is idle ____ % of the time.

Answers

Answer:

A.) 0.2

B.) 3.2

C.) 0.4

D.) 0.5

Step-by-step explanation:

Arrival rate, λ = 8 per hour

Service rate, μ = 10 boats per hour

1.)

Probability that boat dock will be idle, P0:

P0 = 1 - λ/μ

P0 = 1 - 8/10

P0 = 1 - 0.8

P0 = 0.2

Average number of boats waiting for service :

Lq = λ² ÷ μ(μ - λ)

Lq = 8² ÷ 10(10- 8)

Lq = 64 ÷ 10(2)

Lq = 64 ÷ 20

Lq = 3.2

Average time spent waiting for service, Wq :

Wq = λ ÷ μ(μ - λ)

Wq = 8 ÷ 10(10- 8)

Wq = 8 ÷ 10(2)

Wq = 8 / 20

Wq = 0.4 hour

Wq = 0.4 * 60 = 24 minutes

Average time spent at the dock :

1 ÷ (μ - λ)

1 ÷ (10 - 8)

1 ÷ 2

= 0.5 hour

= 0.5 * 60 = 30 minutes

17. Find the ratio of the perimeter to the area of the square shown.
x + 3
x + 3

Answers

Answer:

4x+12/x^2+9

Step-by-step explanation:

Perimeter

x+3+x+3+x+3+x+3

Area

(x+3)(x+3)

A gain of seven yards in football is represented by 7. What number represents a loss of
seven yards?
A 0
B. 7
C. -(-7)
D. -7

Answers

Answer:

D. -7

Step-by-step explanation:

Since positive 7 represents a gain of seven yards, a loss would be represented by a negative number.

So, a loss of seven yards will be represented by -7.

So, the correct answer is D. -7

Find the area of the figure. HELP PLZ

Answers

Answer: 1075 sq. ft

Step-by-step explanation:

A = length times width

First split the shape into two rectangles

Area of rec 1 = 25 times 8 = 200

Area of rec 2 = 35 times 25 = 875

200+875 = 1075 sq. ft

Measurement of a circle

(Giving brainliest to correct answer)

Answers

Answer:

See below

Step-by-step explanation:

1. True

2. False

3. True

If a pyramid prism has a height of 12 ft and a square base with side = 10
ft. What is the surface are of the pyramid?
160 sq. ft
1,340 sq. ft
240 sq. ft
340 sq. ft

Answers

The answer is 240 sq.ft

Is (6, 0) a solution to the equation y = 8x?

Answers

Answer:

no

Step-by-step explanation:

(6,0) would be 0 = 8(6), so no

yes 6 is the equation for y

Help me plz!!!!!!!!!!!I ready
Where do I put the red circle?

Answers

Answer:

Circle - 2

-2 + 1.5 = -.5  = n

-2 -1.5 = -3.5 = n

Those are the possible values of n

HElp And THAnkS ASAP

Answers

Answer:

B. M - J = 6

Step-by-step explanation:

Mike won 6 more games than Jeanie

so J + 6 = M

Subtract J from both sides of the equation

J - J + 6 = M - J

Simplify

6 = M - J

or

M - J = 6

GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee

Answers

Answer:

the answer is 29.7

Step-by-step explanation:

inverse tangent of (4/7)

The packing machine is set to fill a cardboard box with a mean of 16.1 ounces of cereal. Suppose the amounts per box form a normal distribution with a standard deviation equal to 0.04 ounce.
(a) What is the probability of the boxes will end up with at least 1 pound of cereal?
(b) The seventy percent of the boxes will contain less than what number of ounces?
(c) Eighty percent of the boxes will contain more than what number of ounces?
(d) The middle 90% of the boxes will be between what two weights?

Answers

Answer:

a) 0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal

b) 16.121 ounces.

c) 16.0664 ounces.

d) Between 16.0342 and 16.1658 ounces.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 16.1 ounces, standard deviation of 0.04 ounces. So

[tex]\mu = 16.1, \sigma = 0.04[/tex]

(a) What is the probability of the boxes will end up with at least 1 pound of cereal?

One pound is 16 ounces, so this is 1 subtracted by the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 16.1}{0.04}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

1 - 0.0062 = 0.9938

0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal.

(b) The seventy percent of the boxes will contain less than what number of ounces?

Less than the 70th percentile, which is X when Z has a pvalue of 0.7. So X when Z = 0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.525 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = 0.525*0.04[/tex]

[tex]X = 16.121[/tex]

16.121 ounces.

(c) Eighty percent of the boxes will contain more than what number of ounces?

More than the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = -0.84*0.04[/tex]

[tex]X = 16.0664[/tex]

16.0664 ounces.

(d) The middle 90% of the boxes will be between what two weights?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.

5th percentile:

X when Z has a pvalue of 0.05, so X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = -1.645*0.04[/tex]

[tex]X = 16.0342[/tex]

95th percentile:

X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = 1.645*0.04[/tex]

[tex]X = 16.1658[/tex]

Between 16.0342 and 16.1658 ounces.

It can be deduced that the probability of the boxes ending up with at least 1 pound of cereal will be 99.38%.

How to calculate the probability

The Z score based on the information will be:

Z = (16 - 16.1) / 0.04

Z = -2.5

Therefore, the p value is 0.0062. The probability will be:

= 1 - 0.0062

= 0.9938

The seventy percent of the boxes will contain less than 16 ounces. The ounces that will be contained in the eighty percent will be:

= -0.84 = (X - 16.1) / 0.04

X = 16

Lastly, the middle 90% of the boxes will be between 16.03 ounces 16.17 ounces.

Learn more about probability on:

https://brainly.com/question/25870256

2/3y - 6= 6



Pls helppppp me again

Answers

Answer:

[tex]y = 18[/tex]

Step-by-step explanation:

[tex] \frac{2}{3} y - 6 = 6 \\ \frac{2}{3} y = 12 \\ y = \frac{12 \times 3}{2} \\ y = 18[/tex]

Hope this helps you

Can I have the brainliest please?

For 11-14, fill in the blank with >, <, or =.

Answers

Answer:

first one is =

second one is ≥

third one is =

forth one is =

30 points !!!
Plz help

Answers

Answer:

Step-by-step explanation:

What is the value of u? (pls help and no links)

Answers

Answer:

I think 44 degrees

Step-by-step explanation:

73-29=44

Answer:

44

Step-by-step explanation:

The value of u, combined with the angle directly next to it (with the measurement of 29°), is a vertical angle to the opposite given angle (73°).

Note that, by the definition of vertical angles, angles directly next and opposite of each other have the same measurement. Set the equation:

u + 29 = 73

Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Subtract 29 from both sides:

u + 29 (-29) = 73 (-29)

u = 73 - 29

u = 44

44° is your answer for u.

~

Let z = 11 (cos(1) + i sin (1) and w=7(cos(1) + i sin (1)
What is zw?
A: 11/7(cos(pi/6) + i sin (pi/6)
B: 77(cos(pi/6)+ i sin (pi/6)
C:12(cos(pi/12) + i sin ( pi/12 )
D: 77 (cos(pi/12) + i sin (pi/12)

Answers

i think it would be b. not positive thought

rewrite the expression using sixths 1 1/3 - 1/2 = 4/3 - 1/2

Answers

Answer:

8-3=8-3

Step-by-step explanation:

Pls someone help me with this question pls

Answers

Answer:

c

Step-by-step explanation:

trust me i am did the test aredy

5. Higher Order Thinking Explain how to
find 35 + 9.
Use equations to show your thinking.
6. A
to us
9 +3

Answers

Answer:

9+8=17+9+9=18=35+9=44

Find the distance between the two points.
(4,5)
(-4,1)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

9514 1404 393

Answer:

  80

Step-by-step explanation:

The distance formula tells you the distance between the points is ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -(-4))² +(5 -1)²) = √(8² +4²) = √(64 +16)

  d = √80

The number under the radical is 80.

you are packing gifts for the annual holiday decorations the boxes you have been given measure 10 inches in length 6 in in within 12 inches in height the gifts this year smaller so you need smaller boxes you order new boxes with Dimensions that equal the dimensions of the large boxes times a scale factor of 1/2 what is the volume of each new box​

Answers

Answer:

I dont know can u explaining more

Step-by-step explanation:

its not clear too much

A die used in a certain board game has eight faces, of which 3 are red, 3 are yellow, and 2 are blue. Each face is equally likely to land faceup when the die is tossed. In the game, a player tosses the die until blue lands faceup, and the number of tosses before blue lands faceup is counted. For example, a player who tosses the sequence shown in the following table has tossed the die 3 times before blue lands faceup. What is the probability that a player will toss the die at least 2 times before blue lands faceup? A 0.1406 B 0.4219 C 0.4375 D 0.5625 E 0.5781

Answers

Answer: 0.5625

Step-by-step explanation:

Using the binomial distribution, it is found that the probability that a player will toss the die at least 2 times before blue lands face up is:

D 0.5625

For each toss, there are only two possible outcomes, either blue lands face up, or it does not. The probability of blue landing face up on a toss is independent of any other toss, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

2 out of the 8 faces are blue, hence [tex]p = \frac{2}{8} = 0.25[/tex]

The probability that a player will toss the die at least 2 times before blue lands face up is P(X = 0) when n = 2, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]

Hence, option D is correct.

A similar problem is given at https://brainly.com/question/24863377

David and Patti each decomposed 138. David wrote 1 + 1/8 + 3/8. Patti wrote 4/8+2/8+5/8.
Who Is Correct?
No downloads
No Links
No files
No bitly.

Answers

Answer:

Both are wrong.

Step-by-step explanation:

We have that:

Both decomposed the fraction [tex]\frac{13}{8}[/tex] into a sum of fractions. Whoever's decomposition sum has a value of [tex]\frac{13}{8}[/tex] is correct.

David:

[tex]1 + \frac{1}{8} + \frac{3}{8} = \frac{8}{8} + \frac{1}{8} + \frac{3}{8} = \frac{8+1+3}{8} = \frac{12}{8}[/tex]

[tex]\frac{12}{8} \neq \frac{13}{8}[/tex], which means that David is wrong.

Patti

[tex]\frac{4}{8} + \frac{2}{8} + \frac{5}{8} = \frac{4+2+5}{8} = \frac{11}{8}[/tex]

[tex]\frac{11}{8} \neq \frac{13}{8}[/tex], which means that Patti is wrong.

So the answer is that both are wrong.

there's a 100 dollar stuck up 12 feet up a building and you buy a 15 foot ladder that can be safely leaned at a 60 degree angle, can you reach the bill?

Answers

no i cannot be safely leaned

Can the following lengths be
used to form a right triangle?
Explain.
Length 1: 15 units
Length 2: 20 units
Length 3: 35 units

Answers

I don’t think so because 2 lengths added up HAVE to be greater than the largest length. Hope this helped

Drag each number from the box to complete the equations that follow. Each number may be used once, more than once, or not at all.


(36÷__) − (36 ÷__ )=5

(__× 3) − __ =12

these are the choices 12 8 9 and 4

Answers

Answer:

(36/4)-(36/9)=5

(8*3)-12=12

Answer:

(36÷4) - (36÷9) = 5

(8x3) - 12 = 12

The domain of rational function gis the same as the domain of rational function f. Both f and g have a single x-intercept at x = -10. Which
equation could represent function g?
A. g(x) = 10px)
B. 8(x) = f(x + 10)
C. 8(x) = f(x) + 10
D. g(x) = f(x) - 10

Answers

The answer for this is D

The midpoint of QR is (4, -1).
Q = (3.1)
What are the coordinates of point R?

Answers

Answer:

(5,-3)

Step-by-step explanation:

Given that,

The coordinates of Q = (3,1)

The midpoint of QR = (4,-1)

We need to find the coordinates of point R.

We know that, according to mid-point theorem,

[tex](x_m,y_m)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Let (x₂,y₂) be the coordinates of point R.

So,

[tex](4,-1)=(\dfrac{3+x_2}{2},\dfrac{1+y_2}{2})\\\\\dfrac{3+x_2}{2}=4\ and\ \dfrac{1+y_2}{2}=-1\\\\3+x_2=8\ and\ y_2+1=-2\\\\x_2=5\ and\ y_2=-3[/tex]

So, the coordinates of point R is (5,-3).

Thank u guys for helping me out but please I need help

Answers

Answer:

integers

Step-by-step explanation:

Integers include positive and negative including 0, but not including fractions or decimals

Answer:

Integers because:

Whole doesn't include negatives.

Irrational includes both, but not this one.

Natural numbers are only possitive values.

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