What is the formula for slope?

Will give brainliest for first correct.

Answer:

a) 0.9207 = 92.07% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes

b) 0.8907 = 89.07% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes

c) 0.8114 = 81.14% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sum of n normally distributed variables, the mean is [tex]\mu*n[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex].

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

For a single commercial jet:

[tex]\mu = 8, \sigma = 2.8[/tex]

For the 37 jets combined:

[tex]\mu = 37*8 = 296, s = 2.8\sqrt{37} = 17.03[/tex]

(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?

This is the pvalue of Z when X = 320. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{320 - 296}{17.03}[/tex]

[tex]Z = 1.41[/tex]

[tex]Z = 1.41[/tex] has a pvalue of 0.9207

0.9207 = 92.07% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?

This is 1 subtracted by the pvalue of Z when [tex]X = 275[/tex]. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{275 - 296}{17.03}[/tex]

[tex]Z = -1.23[/tex]

[tex]Z = -1.23[/tex] has a pvalue of 0.1093

1 - 0.1093 = 0.8907

0.8907 = 89.07% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?

This is the pvalue of Z when [tex]X = 320[/tex] subtracted by the pvalue of | when [tex]X = 275[/tex]

From a and b

0.9207 - 0.1093 = 0.8114

0.8114 = 81.14% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Final Answer is 4.5

= 4.5hours more time was used on games than on research.

Answer:

Opposite numbers

Step-by-step explanation:

Opposite numbers are defined as numbers that have the same distance from zero but are on opposite sides of zero. So opposite numbers have the same absolute values. Another word for opposite numbers is additive inverses because when opposite numbers are added together the sum is always zero.

Answer:

6x + 3

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3(2x + 1)

Step 2: Expand

Answer:

B, 18.44 miles

Answer:

p = 1/2y - 3

Step-by-step explanation:

p=x/3 and x=1/2y [replace the "x" to solve]

p = (1/2y)/3

Answer:

[tex]\theta \approx 82.34^\circ[/tex]

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

[tex]\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 2 and the hypotenuse is 15. By substitution:

[tex]\displaystyle \cos(\theta)=\frac{2}{15}[/tex]

Now, we will take the inverse cosine of both sides. So:

[tex]\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)[/tex]

Use a calculator. Hence:

[tex]\theta \approx 82.34^\circ[/tex]

The angle between the ground and the ladder is about 82.34°.

Answer:

[tex]B = \frac{1}{2}A[/tex]

[tex]A = 2B[/tex]

Step-by-step explanation:

Given

Represent apple with A and Banana with B

Required

Determine the relationship between A and B

From the question, we understand that:

B costs half as much as A

This can be represented as:

[tex]B = \frac{1}{2} * A[/tex]

[tex]B = \frac{1}{2}A[/tex]

Multiply both sides by 2

[tex]2*B = \frac{1}{2}A*2[/tex]

[tex]2B = A[/tex]

[tex]A = 2B[/tex]

Answer:

x is 2 less than y

[tex] \huge \boxed{x = y - 2}[/tex]

Answer:

c

Step-by-step explanation:

m= -3

c option

Thanks me later

Answer:

c

Step-by-step explanation:

3m - 6  = -3......da da bop boom pow

Answer:

how many 2/5s are in 9/4? - it would be two

hope this helps

Answer:

d

Step-by-step explanation:

x=rcosθ

y=rsinθ

r=1

θ=76°

Answer:

1. 4+n

2. n-9

3. 2n + 6

4. n/6

5. 2(n+3)

Step-by-step explanation:

Step-by-step explanation:

=9x-3+x²

=9×4-3+4²

=36-3+16

=49

hope it helps.

Answer:

y - 2 = -4x + 4

Step-by-step explanation:

Just simplify is out ^-^

4 x + y = 6 Should do the trick

Answer:

Step-by-step explanation:

3x -8 = 2x + 5

x - 8 = 5

x = 13

3(13) - 8 + 2(13) + 5

39 - 8 + 26 + 5

31 + 31 = 62

Answer:

0.25 pints of raspberries do you get per dollar

Answer:

4/9

Step-by-step explanation:

or,2×2=4

or,3×3=9

or,4/9

Answer:

The first five terms are -1,4,9,14 and 19.

Step-by-step explanation:

The arithmetic sequence is :

[tex]T_n=5n-6[/tex]

We need to find the first five terms of the sequence.

Put n = 1 for first term.

[tex]T_1=5(1)-6=-1[/tex]

Put n = 2 for second term.

[tex]T_2=5(2)-6=\\\\=10-6\\\\=4[/tex]

Put n = 3 for third term.

[tex]T_3=5(3)-6=\\\\=15-6\\\\=9[/tex]

Put n = 4 for fourth term.

[tex]T_4=5(4)-6=\\\\=20-6\\\\=14[/tex]

Put n = 5 for fifth term.

[tex]T_3=5(5)-6=\\\\=25-6\\\\=19[/tex]

Hence, the first five terms are -1,4,9,14 and 19.

Answer:

27

Step-by-step explanation:

1 mile took 9 min to run, so 3 miles will be:

3 x 9 =

27

Answer:

Step-by-step explanation:

Step 1 is incorrect. It should be:

Correct answer option is B

Answer:

NIO

Step-by-step explanation:

a

9514 1404 393

Answer:

  a.  plane DEA

Step-by-step explanation:

A plane can be named by naming any 3 non-collinear points in the plane, or by using the plane's name as indicated in the drawing.

Here, points in the plane are A, D, E, F, with DEF all on  the same line. So A plus any two points from the line will constitute a name for the plane. Also, this plane is identified with a script M that can be used to name the plane.

M is not an answer choice, but DEA is. So, the appropriate choice is ...

  plane DEA

__

F is a point, not a plane name. C is not on the plane, so cannot be used to name it. 'k' is a line name, not a plane name.

Answer:

The equation is: [tex]\frac{x}{2} = 7.3[/tex]

Step-by-step explanation:

Caroline was thinking of a number.

We are going to call this number x.

Caroline halves the number and gets 7.3.

To find half of a number, we multiply by 1/2. So

[tex]\frac{1}{2} \times x = 7.3[/tex]

[tex]\frac{x}{2} = 7.3[/tex]

Answer:

[tex]25 {x}^{2} + 125x[/tex]

Answer:

BCA

Step-by-step explanation:

assuming the shape is symmetrical, BCA would be the congruent (equal) angle

Answer:

Option (4)

Step-by-step explanation:

Since, lines l and m are the parallel lines and line 'n' is intersecting these parallel lines,

Option (1)

∠c ≅ ∠y

True.

[Corresponding interior angles]

Option (2)

∠a ≅ ∠w

True.

[Corresponding interior angles]

Option (3)

∠b ≅ ∠x

True.

[Corresponding interior angles]

Option (4)

∠b ≅ ∠z

False.

[Since, ∠b + ∠Z = 180°, consecutive exterior angles]

Option (5)

∠a ≅ ∠z

True.

[Alternate exterior angles]

Therefore, Option (4) will be the answer.