Answer:
-1
Step-by-step explanation:
Use the slope intercept formula(y=mx+b) to find the slope of a line.
First, you will want to put everything into it's proper order, so you will get -y=-x+5.
You cannot have a negative y, so divide everything by -1 and you will get y=x-5.
1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..
The reciprocal of 1 is -1. -1 is the slope of the perpendicular line
Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of flights is studied. Round the probabilities to four decimal places. Part 1 of 4 (a) Find the probability that all of the flights were on time. The probability that all of the flights were on time is . Part 2 of 4 (b) Find the probability that exactly of the flights were on time. The probability that exactly of the flights were on time is . Part 3 of 4 (c) Find the probability that or more of the flights were on time. The probability that or more of the flights were on time is . Part 4 of 4 (d) Would it be unusual for or more of the flights to be on time
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
A parallelogram has a base of 9 inches and a height of 11 inches. What is the area?
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 please help confused
Answer:
x = 9.7
Step-by-step explanation:
tan 68° = 24/x
2.4751 = 24/x
x = 9.7
If using the method of completing the square to solve the quadratic equation
x2 + 3x +9 = 0, which number would have to be added to "complete the square"?
Answer:
0.555
Step-by-step explanation:
you simply follow the linear equation rule and fill in
Which is the better deal? $2.89 for 4 quarts or $4.39 for 6 quarts
Answer:
$4.39 for 6 quartz
Step-by-step explanation:
if you multiply 2.89 by 2 it's more then 4.39
A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet and the diameter of the circle was 14 feet what best represents the value of n.
Answer:
What is N supposed to be? Is there supposed to be some picture or something that should tell us?
Step-by-step explanation:
What is the value of the 1 in the following number. 2043.61
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
SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student’s score will be at least 1500?
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.
i need help on this question
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
1/6 of 3 yards= --------feet is it 1 1/2 or 1/2 or 3 or 1/18
Answer:
1/2 ft or 6 inches
Step-by-step explanation:
1/6 of 3 yards = 1/2 ft or 6 inches
Ashley purchased a prepaid phone card for $25. Long distance calls calls cost 19 cents a minute using this card. Ashley used her card only once make a long distance call. if the remaining credit on her cars is $19.49, how many minutes did her call last
Please answer !!!
30 points
Hey guys I need some help with this problem; Will mark brainliest :)
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
A trigonometric identity derived from the Pythagorean theorem is called a ___ identity.
1) cosecant
2) cosine
3) Pythagorean
4) secant
5) cotangent
The answer is 3) Pythagorean.
A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.
How to complete the blank?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
Plsssss help!!! This assignment is missing and I need to turn it in because grades are coming out soon!!!
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.
The last option is school librarian PLEASE HELP ASAP MY COUSIN NEEDS HELP
Answer:
All parents in the school
Step-by-step explanation:
IS THIS CORRECT NEED BEFORE MARCH 11 2021
Answer:
yes can i have brainliest
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I solved the question
Please help find the missing length
Answer:a²=b²+c² in a right angle triangle so answer is root 136
Step-by-step explanation:
can you help me please
Answer:
1 < X< 4Step-by-step explanation:
have a nice day/night !
helpppppp I’ll Mark you brainliest
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.
Find the length of the third side. If necessary, round to the nearest tenth.
12
=========================================================
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
The point C(-6, -3) is translated 5 units up. What are the coordinates of the resulting point, C′?
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.
The sum if 2 numbers is 13. Their difference is 3. What are the 2 numbers? Graph these numbers
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
45*67=? No cheating do not look up answer
Answer:
3015
Step-by-step explanation:
Can someone help i need it much appreciated will give brainleist
What is the slope of the line that passes through the points (-9, 2) and (1,27)?
Write your answer in simplest form
Answer:
5/2
Step-by-step explanation:
what is
2/4 × 3
please help me!
I really need to start paying attention in class
Answer:
41
Step-by-step explanation:
Can someone solve this for x and y
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.
Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed o. Find each of the following for the given values ofr, w, and t r= 10 cm, 6 = radian per sec, t = 4 sec 6 radians (round to the nearest thousandths) a) What is the angle generated by P in time t? cm (round to the nearest thousandths) b) What is the distance traveled by P along the circle in time t? c) What is the linear speed of P? cm/sec (round to the nearest thousandths)