Two more than five times a number is less than or equal to 47
WRITE THAT AS AN INEQUALITY. IF YOU DON'T KNOW WHAT THAT IS THIS IS AN EXAMPLE 3g - 4 ≥ 17

Answer:

a) [tex]P(X = n) = (0.85)^{n}[/tex]

b) [tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

c)

[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]

For each value, we use

[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

d) If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrived on time, or it did not. Flights are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A measure is said to unusual if it is more than 2.5 standard deviations from the mean.

85% of recent flights have arrived on time.

This means that [tex]p = 0.85[/tex]

(a) Find the probability that all of the flights were on time.

This is [tex]P(X = n)[/tex], in which n is the size of the sample studied.

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

[tex]P(X = n) = C_{n,n}.(0.85)^{n}.(0.15)^{n-n}[/tex]

[tex]P(X = n) = (0.85)^{n}[/tex]

(b) Find the probability that exactly x of the flights were on time.

Exactly x of the flights: So

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

[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

(c) Find the probability that x or more of the flights were on time.

This is

[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]

For each value, we use

[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]

(d) Would it be unusual for x or more of the flights to be on time?

If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no

Answer:

Mean = 59

Median = 56.5

Step-by-step explanation:

56 + 57 + 53 + 63 + 68 + 52 + 55 + 65 + 62 = 531

531 / 9 = 59

Mean = 59

52, 53, 55, 56, 57, 62, 63, 65, 68

Num between 56 and 57

56.5

Median = 56.5

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

Answer:

0.555

Step-by-step explanation:

you simply follow the linear equation rule and fill in

Answer:

C)

Step-by-step explanation:

The line is in the form of y = ax + b, which (a) part is just the slope, so the slope is 3/4.

Answer:

3/4

Step-by-step explanation:

Y=mx+b

Answer:

What is N supposed to be? Is there supposed to be some picture or something that should tell us?

Step-by-step explanation:

Answer:

All parents in the school

Step-by-step explanation:

Answer:

the answer will be 14840

Answer:

616

Step-by-step explanation:

32*53=1696

24*45=1080

1696-1080

616

Answer:

∠C       ∠D

82°        98°

132°       48°

115°       65°

25°       155°

Step-by-step explanation:

180 -82 = 98

180 - 132 = 48

180 - 115 = 65

180 - 25 = 155

Answer:

3015

Step-by-step explanation:

Answer:

First option

Step-by-step explanation:

In the sequence, the first term is -1. You add 5 to each term to get the next term. This is because -1 + 4 = 4, and so on. Thus, the correct sequence is the first option.

=========================================================

Work Shown:

a = 9, b = 12 are the two legs of the right triangle

c = unknown is the hypotenuse

Apply the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

Answer:

15

Step-by-step explanation:

Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.

pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.

12²+9²=225

Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.

√225 = 15

Sorry if it is wrong but I think 30-35%

Answer:

x = 9.7

Step-by-step explanation:

tan 68° = 24/x

2.4751 = 24/x

x = 9.7

Answer:

99

Step-by-step explanation:

The formula is b x h = A

9 x 11 = A

9 x 11 = 99

A = 99

ps. PLZ give me brainliest!

Answer:

hundredths

Step-by-step explanation:

• right from the decimal point, the first value that comes starts from tens rather then ones

• we always add ' ths ' in every value from right to the decimal point

Answer: 25.284

Step-by-step explanation:

Answer:

x = 9

MK = 23

Step-by-step explanation:

LL = MK (diagonals)

2x+5 = 7x-40

5x = 45

x = 9

MK = 7(9) -40

MK = 23

Answer:

Step-by-step explanation:

In a rectangle, diagonals are congruent

MK = JL

7x - 40 = 2x + 5  {Add 40 to both sides}

7x - 40 + 40 = 2x + 5 +40

             7x   = 2x + 45            {Subtract 2x form both sides}

         7x - 2x = 2x - 2x + 45

              5x  = 45             {Divide both sides}

           5x/5  = 45/5

x = 9

MK = 7x - 40

     = 7*9 - 40

     = 63 - 40

MK = 23

Answer:

6.32

Step-by-step explanation:

:|

Answer:

6.32

Step-by-step explanation:

I counted up from G to H and I got 6. Since the line is a diagonal it makes it odd as in a weird number like a decimal most times. It can't be 6 because the line wouldn't make it to H it would be just short. 5.83 is already too short. 8 is to long for the line to be as it is now as a diagonal. 8, you would have to count up 6 and 2 to the right perfect but the line doesn't do that.

The answer is 3) Pythagorean.

A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.

Mathematically, the Pythagorean theorem states that

Hypotenuse^2 = Adjacent^2 + Opposite^2

Divide through by Hypotenuse^2

This gives

1 = cos^2(x) + sin^2(x)

Rewrite as:

cos^2(x) + sin^2(x) = 1

As a general rule, the above represents the basic Pythagorean identity.

Hence, the word that completes the blank is Pythagorean.

Read more about Pythagorean identity at:

https://brainly.com/question/1969941

#SPJ2

Answer:

1/2

Step-by-step explanation:

2-(-1)/9-3

= 3/6

=1/2

Answer:

∆ABC ≅ ∆EFD by the SSS Congruence Theorem.

Step-by-step explanation:

The digram shows that 3 sides of ∆ABC are congruent to the 3 sides of ∆ EFD.

Based on the Side-Side-Side Congruence Theorem (SSS), we can conclude that both triangles are congruent to each other.

Therefore:

∆ABC ≅ ∆EFD by the SSS Congruence Theorem.

Answer:

She can fit 7 photos in a row.

Answer:

Gallons:       Miles:

0                  0

1                   23

2                  46

3                  69

Step-by-step explanation:

First, you would figure out what the unit rate is. To do that, you would divide the 184 miles by the 8 gallons of gas. You get 23 miles per gallon of gas.

Then, to fill out the unit rate table, copy this method:

You know that 0 gallons of gas would lead you nowhere, so you would put a zero in the first row.

In the second row, you use your answer from the first row (0) and add the number of miles per gallon of gas. You would add 0 + 23 and get 23. Put 23 in the second row.

In the third row, you multiply the number of miles per gallon of gas by 2. The answer is 23 x 2 = 46.

Lastly, you multiply 23 x 3 (answer: 69) to fill out the final row.  

Answer: [tex]12^{1/3}[/tex]

Step-by-step explanation:

Negative -3 power is the same as 1/3 power.

Have a nice day! :D

Answer:

35 minute

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation: