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The jet travels a distance of

(960 km/h) t

after time t, while the light plane travels a distance of

(560 km/h) t

The jet is faster than the light plane, so the distance between them is

(960 km/h) t - (560 km/h) t = (400 km/h) t

so the time it takes for them to be 4560 km apart is

(400 km/h) t = 4560 km

==>  t = (4560 km) / (400 km/h)

==>  t = 11.4 h

Answer:

5/6

Step-by-step explanation:

Answer:

26°

Step-by-step explanation:

[tex]m\angle WXZ = 78\degree... (given) \\\\

m\angle 2 = 2m\angle 1...(given)... (1)\\\\

\because m\angle 1 + m\angle 2=m\angle WXZ \\\\

\therefore m\angle 1 + m\angle 2=78\degree... (2)\\\\

\therefore m\angle 1 + 2m\angle 1=78\degree\\ [From\:equations\: (1)\: \&\:(2)] \\\\

\therefore 3m\angle 1=78\degree\\\\

\therefore m\angle 1=\frac{78\degree}{3}\\\\

\therefore m\angle 1=26\degree \\[/tex]

Answer:

64

Step-by-step explanation:

The angles all add up to 180. 37 plus 79 is 116. 180-116=64.

Hope this helped! If it did, please let me know by marking it the brainliest!

Answer:

a

[tex]G  =   0.007523 [/tex]

b

 The  number of cars the  highway patrol officer would watch before a  car that is seen is [tex]E(X) = 1.6027 [/tex]

The standard deviation is   [tex]s  =  0.9829 [/tex]

gg

Step-by-step explanation:

From the question we are told that

The mean is [tex]\mu = 71.5 \ miles/hour[/tex]

The standard deviation is [tex]\sigma = 4.75 \ miles/hour[/tex]

The speed limit is [tex] x = 70 \ miles /hour[/tex]

Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as

[tex]p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )[/tex]

Here

[tex]\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )[/tex]

So

=> [tex] p= P(X > 70) = P(Z > -0.31579 )[/tex]

From the z-table

[tex]p = P(Z > -0.31579 ) = 0.62392[/tex]

So

[tex] p = P(X > 70) = 0.62392 [/tex]

Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as

[tex]q = 1 - p[/tex]

=> [tex]q = 1 - 0.62392 [/tex]

=> [tex]q = 0.37608 [/tex]

Generally the probability of getting 5 cars that are not speeding is mathematically represented as

[tex]G = q^5[/tex]

=> [tex]G = (0.37608)^5[/tex]

=> [tex]G = 0.007523 [/tex]

Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as

[tex]E(X) = \frac{1}{p}[/tex]

=> [tex]E(X) = \frac{1}{0.62392}[/tex]

=> [tex]E(X) = 1.6027 [/tex]

Generally the standard deviation is mathematically represented as

[tex]s = \sqrt{\frac{1 - p }{ p^2} }[/tex]

=>     [tex]s  =  \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }[/tex]

=> [tex]s = 0.9829 [/tex]

The probability that 5 cars pass and none are speeding is 0.007523 and the number of cars the highway patrol officer would watch before a car that is seen is E(X) = 1.6027

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour.

The speed limit on this stretch of the freeway is 70 miles/hour.

Generally, the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as;

[tex]p = P(X > x) = P(X > 70) = P(z = \dfrac{X - \mu}{\sigma } > \dfrac{70 - 71.5}{4.75})\\\\p = P(X > 70 ) = P(\dfrac{X -\mu}{\sigma} > -0.31579)[/tex]

From the z-table

[tex]p = P(X > 70)= P(z > -0.31579) \\\\p = 0.62392[/tex]

Generally, the probability of getting a car that is not moving with speed greater than the speed limit will be

q = 1 - p

q = 1 - 0.62392

q = 0.37608

Generally, the probability of getting cars that are not speeding will be

G = q⁵

G = 0.37608⁵

G = 0.007523

The number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten will be

[tex]\rm E(X) = \dfrac{1}{p}\\\\E(X) = \dfrac{1}{0.62392}\\\\E(X) = 1.6027[/tex]

The standard deviation will be

[tex]\sigma = \sqrt{\dfrac{1-p}{p}}\\\\\\\sigma = \sqrt{\dfrac{1-0.63292}{0.62392}}\\\\\\\sigma = 0.9829[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

It will take 31 days (4 weeks and 3 days) to write 279 emails

Step-by-step explanation:

279 emails ÷ 9 emails per day = 31 total days to write 279 emails

Answer:

7m

Step-by-step explanation:

Answer: 7m

Step-by-step explanation: 5m + 2m = 7m, so 5m+2m+8 = 7m+8

9514 1404 393

Answer:

  (k -6)

Step-by-step explanation:

The given quadratic is a perfect square, so has one repeated binomial factor:

  k^2 -12k +36 = (k -6)^2

Answer:

x=54

Step-by-step explanation:

these two angles are supplementary to each other. this is because alternate interior angles are congruent, and 2x+42 degrees is supplementary to the alternate interior angle of x-24 degrees. so, we can add these two numbers up and set it equal to 180.

2x+42+x-24=180

3x+18=180

3x=162

x=54

if this question is asking for x, 54 is the answer. if it is asking for the angle measures, plug in 54 for x for each angle and solve.

Answer:

see below

Step-by-step explanation:

2/3 x = -6

Multiply each side by the reciprocal to isolate x

3/2 * 2/3x = -6 * 3/2

x = -9

Answer:

27.8

Step-by-step explanation:

16.3 - 12.75 = 3.55

3.55 ÷ 12.75 = 27.8

Answer:

600 calories

Step-by-step explanation:

John has consumed 1600 calories out of which he has burned off 400. So the total calories for the day so far are:

1600-400

=1200 calories

He has to keep the count of calories upto 1800 per day and the consumed calories so far are 1200

So he needs to burn:

= 1800 - 1200

= 600 calories

He has to consume 600 calories more..

Hence 1000 is not a viable solution to the problem as the remaining count of calories that need to be consumed are 600 ..

Answer:

The Answer is A.

Step-by-step explanation:

Hope this helps!

Answer:

15x−9

Step-by-step explanation:

Answer:

so

Step-by-step explanation:

the first goes 3rd

the 2nd goes 1

3rd goes 4

Answer:

7 eggs per hen

Step-by-step explanation:

There were 84 eggs laid between the 12 hens. That means the 84 eggs are split among the 12 hens. 84 divided by 12 = 7.

Step-by-step explanation:

Answer:

5x5 and 5^2

Step-by-step explanation:

hope this helps.

Answer:

30√30 - 15√15

Step-by-step explanation:

I'm not 100% sure

Answer:

We can write³√3000- ³√375 as [tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]

[tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]= [tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex]

[tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex] is the simplest form of ³√3000- ³√375

Answer:

True...

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Question: The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight,w, and the dosage, d?

Answer: d= 1/50w

Explanation: I took the test in Edgenuity.

Hope this helps!

Answer:

a)  P[A/B] = 0,019     or     P[A/B] = 1,9 %

b)  P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

Step-by-step explanation:

Bayes Theorem :

P[A/B]  =  P(A) * P[B/A] / P(B)

The branches of events are as follows

Condition 1        real infection     1/300        and     not infection  299/300

Then

1.-    1/300      299/300

When the test is done   (virus present)  0,9 (+)    0,15 (-)

2.-   299/300

When the test is done  ( no virus )   0,15  (+)     0,85 (-)

Then:

P(A) = event person infected          P(B)  =  person test positive

a) P[A/B]  = P(A) * P[B/A] / P(B)

where   P(A)  = 1/300  =   0,0033   P[B/A] = 0,9    

Then P(A) * P[B/A] =  0,0033*0,9  =  0,00297

P(B)   is    ( 1/300 )*0,9  +  (299/300)*0,15

P(B) = 0,0033*0,9 + 0,9966*0,15    ⇒  P(B) = 0,1524

Finally

P[A/B] =  0,00297 /0,1524

P[A/B] = 0,019     or     P[A/B] = 1,9 %

b) Following sames steps:

P[A- /B-] = (299/300) * 0,85  / (299/300) * 0,85 + (1/300 * 0,1)

P[A- /B-] = 0,8471 /0,8474

P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

Answer:

Step-by-step explanation:

First, you must find the slope of the line using the formula (y2-y1/x2-x1). For your problem that would be (8-0/-2-4)= -4/3.

Then, you would plug in the slope and the y-intercept into the slope-intercept formula (y=mx+b), where m is the slope and b is the y intercept (4).

Your answer would be y=-4/3x+4

Answer: 6 - √35 < 0

----------------------------

Answer: Therefore, the recursive formular is A(n) = A(n - 1) + 9

Step-by-step explanation: (n) = 2 + 9(n - 1) = 2 + 9n - 9  

(n + 1) = 2 + 9(n + 1 - 1) = 2 + 9n = (2 + 9n - 9) + 9 = A(n) + 9

Answer:

Statements and reasons

Step-by-step explanation:

Answer:

statements and reasons

Step-by-step explanation:

These headers are standard and are used on every formal proof.

Answer:

-6, -1, 4, -1

Step-by-step explanation:

If you plug it in thats what you get