What is the slope of a line perpendicular to the line who’s equation is x-y=5 fully reduce your answer

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:

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:

x = 9.7

Step-by-step explanation:

tan 68° = 24/x

2.4751 = 24/x

x = 9.7

Answer:

0.555

Step-by-step explanation:

you simply follow the linear equation rule and fill in

Answer:

$4.39 for 6 quartz

Step-by-step explanation:

if you multiply 2.89 by 2 it's more then 4.39

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:

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:

0.2159 = 21.59% probability this student’s score will be at least 1500.

Step-by-step explanation:

To solve this question, we need to understand the normal distribution and conditional probability.

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 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.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Recognized student(scored more than 1350)

Event B: Score of at least 1500.

SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200

This means that [tex]\mu = 1100, \sigma = 200[/tex]

Probability of being recognized.

1 subtracted by the pvalue of Z when X = 1350. So

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

[tex]Z = \frac{1350 - 1100}{200}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a pvalue of 0.8944.

1 - 0.8944 = 0.1056

So [tex]P(A) = 0.1056[/tex]

Probabibility of being recognized and scoring at least 1500.

Intersection between more than 1350 and more than 1500 is more than 1500. So this probability is 1 subtracted by the pvalue of Z when X = 1500.

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

[tex]Z = \frac{1500 - 1100}{200}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

So, [tex]P(A \cap B) = 0.0228[/tex]

What is the probability this student’s score will be at least 1500?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0228}{0.1056} = 0.2159[/tex]

0.2159 = 21.59% probability this student’s score will be at least 1500.

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:

1/2 ft or 6 inches

Step-by-step explanation:

1/6 of 3 yards = 1/2 ft or 6 inches

Answer:

The red one

Step-by-step explanation:

Branlies plz Thank you!! :)

Answer:

65 pi, the closest one is 204.1 in^2

Step-by-step explanation:

This question is asking a surface area for a cylindrical bowl with top is empty, so you need to find one circle base and one rectangular side, as the hight is 4in, and wide is 10 inch, use the wide to find the circumference of the rectangular side, which is C = pi*d = 10 pi. Then the area for the rectangular side is A = 40 pi, and the area for the circle is A = pi*r^2 = (10/2)^2 * pi = 25 pi. Then add them together get Total area = 40 pi + 25pi = 65 pi or 65 * 3.14 = 204.1 in^2

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:

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:

All parents in the school

Step-by-step explanation:

Answer:

yes can i have brainliest

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I solved the question

Answer:a²=b²+c² in a right angle triangle so answer is root 136

Step-by-step explanation:

Answer:

Step-by-step explanation:

have a nice day/night !

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.

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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

Answer:

(-6,2)

Step-by-step explanation:

You add the 5 to the y value because you are going up, down subtract. If you were going right you would add it to the x, left subtract.

Answer:

The two numbers are 8&5

Step-by-step explanation:

13 = x + y

y = x-3

13 = x+(x-3)

13=2x-3

16=2x

x=8

y=1(8)-3

y=5

Answer:

3015

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Answer:

[tex]y = 6\\\\x = 6\sqrt{2}\\x=8.485[/tex]

Step-by-step explanation:

The base-angles converse theorem states that in a triangle where two angles are congruent, the sides opposite the congruent angles are congruent. One can apply this theorem to the given triangle, and thus, y = 6, because of the base angles converse theorem.

It is also given that the given triangle is a right triangle, therefore, the isosceles triangle with a right angle theorem is applicable. This theorem states that in a right triangle (a triangle with a right angle), that is isosceles (two sides are congruent), the third side (non-congruent side) is equal to the length of the two congruent sides times the square root of (2). Hence, x = [tex]6\sqrt{2}[/tex], in the decimal form that is 8.485.