[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]
[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]
[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]
[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.
Answer:
The probability is [tex]P(X >300 ) = 0.97219 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
[tex]p = 0.96[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]\mu = 320 * 0.96[/tex]
=> [tex]\mu = 307.2[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]
=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]
=> [tex]\sigma =3.50 [/tex]
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]
Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]
Now applying continuity correction we have
[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]
From the z-table
[tex]P(Z > -1.914 ) = 0.97219[/tex]
So
[tex]P(X >300 ) = 0.97219 [/tex]
What is the value of the expression -7+-4
Answer:
-11
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -7 - 4
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 7 + 4 = 11
3) Finally, add the greater number's sign (-7) in front of the number.
-11
Hope this helps! :D
Please help ASAP!!! Will give brainlist!
Answer:
the last 1
Step-by-step explanation:
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]
[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
The correct Standard Form of the equation y=−2/7x−11/7
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be
Answer:
x=15ft
Step-by-step explanation:
a^2+b^2=c^2
8^2+b^2=17^2
b^2+64=289
b^2=225
b=15
If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?
Answer:
2 mi per hour
Step-by-step explanation:
1/3*6=
6/3= 2
2 mi per hour
Answer:
2mph
Step-by-step explanation:
If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.
[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:
[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]
The person is walking 2mph
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.
Answer:
Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!
The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.
The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.
This quiz was completed on k12, lesson 3.03.
The question is an illustration of equation of circles.
The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard becauseFrom the question, we understand that:
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung
[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard
[tex]\mathbf{B = 10ft}[/tex] --- the bull's eye
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart
Equation of the circle
First, we convert all units to feet
This is done by dividing inches units by 12
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]
Take LCM
[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]
[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]
[tex]\mathbf{d = 18\i n }[/tex]
[tex]\mathbf{d = \frac{18}{12}ft}[/tex]
[tex]\mathbf{d = \frac{3}{2}ft}[/tex]
Divide by 2 to calculate radius
[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]
[tex]\mathbf{r = \frac{3}{4}ft}[/tex]
The equation of the circle is represented as:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
In this case:
[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall
[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung
So, we have:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]
Evaluate the exponents
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Does Sasha’s dart land on the dartboard?
Yes her dart lands on the dartboard because
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard
Read more about equation of circles at:
https://brainly.com/question/23988015
) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex] for P > 0.2S
Q = 0 for P < 0.2S
[tex]S = \dfrac{1000}{CN}-10[/tex]
where:
curve number CN = 80
[tex]S = \dfrac{1000}{80}-10[/tex]
S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]
[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]
[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]
[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]
[tex]Q = \dfrac{(56.25)}{(10)}[/tex]
Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
How do you solve for x?
HELP MEEEE
Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.
Answer:
p = -4.33636363636
Step-by-step explanation:
subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636
HURRY PLEASE HELP
What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units
The answer is 11.9 units
First you must set up the distance formula.
[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]
Then, simplify like terms.
[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]
Next, simplify exponents.
[tex]\sqrt{100+16+25}[/tex]
Then, add like terms.
[tex]\sqrt{141}[/tex]
Finally, round to the nearest tenth.
11.9
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!
ir
Coffee costs $9 per pound. How much does 600 pounds of coffee cost?
Answer:
11.400 dollars... is the answer
Answer:
$5400
Step-by-step explanation:
9 x 600 = 5400
3- ¿Cuál es la probabilidad de que al escoger un número positivo de dos cifras, este sea
primo y termine en 3?
O a) 1/15
b) 2/90
c) 6/91
d) 9/90
Answer:
6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15
Step-by-step explanation:
Usando el concepto de probabilidad, se encuentra que hay una probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
------------------------------
Una probabilidad es dada por la división de el número de resultados deseados por el número de resultados totales. Hay 90 números positivos de dos cifras.13, 23, 43, 53, 73, 83 son primos y terminan en 3, o sea, el número de resultados deseados es 6.Entonces:
[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]
Probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
Un problema similar es dado en https://brainly.com/question/24583317
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answer: 157.19
Step-by-step explanation:
if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
Step-by-step explanation:
In 1/10 of 1hr = 1/2 mile
10*(1/10) of 1hr = 10(1/2) mile
(10/10) of 1hr = (10/2) mile
1 of 1hr = 5mile
It says, he can run 5 miles in 1 hour
The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.
Answer:
The answer is
[tex] \huge y + 1 = 15(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 1 = 15(x - 3)[/tex]
Hope this helps you
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:
Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)
b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.
c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?
d. Find the correlation r (
±
0.001) between beak heat loss and temperature.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
Using an online regression calculator ; the regression equation obtained is :
ŷ = 2.0927X + 0.6029
X = independent variable
Y = predicted variable
2.0927 = slope
0.6029 = intercept
B.) temperature = 25
ŷ = 2.0927(25) + 0.6029
= 52.9204
C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient
0.8785² = 0.7718
D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator
Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answer:
Given that;
There are three high schools, each having four sections of every 24 students
the 2 types of instructions are Standard curriculum & computer based curriculum
a)
this study is experimental
this is because the study did not just observe the student's performance but randomly assign the performance to different techniques that have some certain control over the technique of teaching and then observe their performance afterwards
b)
-important factors are; high schools, instruction type and scores
- Highschool has 2 levels: level one there are three high schools, level 2 each having four sections of every 24 students
-instruction type: has one level which is divided into two namely; standard base and computer based
Scores: doesn't have levels
c)
there are 3 schools and 4 sections so the factor high school has between subjects components
factor instruction type also has between subjects because there are two different types available
there are 24 students in each section which are within subjects
d)
the score on the test is the dependent measures
e)
“STUDENT” in each section is he basic experiment unit of study
please help ! i would mark brainliest to the first answer.
x^2 = 4 py
where p<0
Step-by-step explanation:
I think this is it but I am not sure
If you have metamorphic rock and melt it, what does it become?
A. Magma
B. Minerals
C. Sedimentary Rock
D. Soil
Step-by-step explanation:
When metamorphic rock melts it turns into magma.
to be proportional, there must be a constant of proportionality
true or false
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
f(x) = x + 7, g(x) = x - 7
(a) (f + g)(x) =
(b) (f-g)(x)=
(c) (fg)(x)=
(d) (f/g)(x)=
a) 2x
b) 14
c) x^2 -49
d) -1
HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an
equation that represents this situation is d-50t.
Enter the smaller of the two constants of proportionality.
Answer:
t=8
Step-by-step explanation:
400 divided by 50 hopefully that helps with your question
which equation choice could represent the graph shown below?
Answer:
The answer is...
f(x)=(x-3)+(x+3)
I think this is the answer. I haven't done this kind of math in a while so...
The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
given a Graph of a quadratic equation.
Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².
in this graph, we can observe that graph has only one root at x = -3
therefore the equation of the Given parabola is
(x + 3)² = 0
or
(x +3)(x + 3) = 0
therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.
Learn more about Quadratic equations here:
https://brainly.com/question/22364785
#SPJ2
|-9×+7|+8 is less than or equal to 9
Answer:
I don’t think it’s neither less than it equal
Step-by-step explanation:
I could be wrong don’t listen to me :)