The lines are perpendicular.
Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean valueby more than 1 standard deviation?
Answer:
0.121
Step-by-step explanation:
From the given information:
Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)
To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:
[tex]\mu_x = E(X)[/tex]
[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]
[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]
[tex]\mu_x =3.5[/tex]
The standard deviation is :
[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]
[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]
[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]
[tex]\sigma _x = 0.892[/tex]
However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :
[tex]X \geq \mu_x +\sigma_x[/tex]
[tex]X \geq 3.5 +0.892[/tex]
[tex]X \geq 4.392[/tex]
[tex]X \geq 5[/tex]
∴
[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]
[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]
I need help finding the slope, The y - intercept, and the equation?
Slope: -2/3
Y intercept: 5
Equation: y = -(2/3)x + 5
Hope this helped :)
what is x+4y=8 show all work
Answer:
y = -1/4x + 2
Step-by-step explanation:
Let's put this equation in slope-intercept form:
y = mx + b
Equation:
x + 4y = 8
-x -x
4y = -x + 8
/4 /4 /4
y = -1/4x + 2
Answer:
x = 4 Y=1
Step-by-step explanati
8-4y=x
8-4=4
X=4
9. The mass of a dust particle is 0.000000000753 kg, which can be written as 7.53 x 100
kg in scientific notation. What is n?
Answer:
7.53 x 10²
Step-by-step explanation:
10² two time the 10 is 100
Answer:
Uuuuuuuh. What is n? There's no n in your question.
Step-by-step explanation:
Also that scientific notation equation there is false. It would be 7.53x10 to the 10th power.
f(x) = -3/(2x-1) find the largest possible domain
Marni buys 2.5 pounds of grapefruit for $4.48. To the nearest cent, how much would 6 pounds of grapefruit cost?
Answer:
4.48 x (6/2.5) = $10.75
A coin is flipped 8 times.Find the probability of the event: exactly 3 heads
Answer:
8\16 because there are 2 possibilities each coin flip
Function k is a continuous quadratic function that includes the ordered pairs shown in the table.
Over which interval of the domain is the function increasing?
i didnt mean to click B btw
Answer:
B
Step-by-step explanation:
It appears to be B because this quadratic function faces down (-ax^2) and the vertex or highest point of this function is when x=1. Thus, the interval of the domain that the function increases must be from negative infinity to 1, giving the answer B.
Ashley makes y dollars per hour. Richard makes three times as much. How much does Richard make per hour?
Answer:
3y
Step-by-step explanation:
How do you write, 24.23 as a mixed number in simplest form?
Answer:
24 23/100
Step-by-step explanation:
I think this is the answer.
9514 1404 393
Answer:
24 23/100
Step-by-step explanation:
"Twenty-three hundredths," or 23/100, is a fraction that cannot be reduced. The mixed number version is ...
24 23/100
_____
Additional comment
You start with a denominator that corresponds to the place value of the least-significant digit. Here, that's hundredths, so the fraction you start with is some number of hundredths. Then you reduce the fraction if possible, by canceling all factors of 2 or 5 that you can.
Had it been 23.24, you would start with 23 24/100 and cancel a factor of 4 from numerator and denominator: 23 6/25.
Can anyone help me with this please?? Tysm!
Dont google the answer!!!
What is 1+8+473895789507096298759573094587092747638957698745
Answer:
4.7389579e+47
Step-by-step explanation:
Answer:
4737389578950709629875973094587092747638957698⅞54
If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?
Answer:
It's the first one
Step-by-step explanation:
The smallest x-ray has a wave length of 5.9 x 10^-8 meters
The largest infrared light wave length is about 9.8.x 10^-7 meters.
Subtract these weve lengths to see how much larger the wavelength of infared lights is than an X-ray.
Answer:
theb correct answer is d VHow does your body’s flexibility naturally change as you age?
Step-by-step explanation:
y=x/2+5 what is the slope of the equation?
Answer:
1/2
Step-by-step explanation:
the equation of a function/line is y=mx+b where
b is the y intercept
x is the slope
y=x/2+5 is the same as y=1/2x+5
simplify 6^7 over 6^5 leaving the answer in index form
Answer:
yesrrrrrrrrrrreerrrrrrrreeeeeer
Mrs. Manzo's class has 20 girls and 25 boys. She wants to put them into
identical groups with the same number of boys and girls in each group.
What is the greatest number of groups she can make? *
Answer:
She can make up to 5 groups.
Step-by-step explanation:
We have to find the first divisible number that are divisble for each 20 and 25.
Divisible numbers of 25: 1, 5 Divisible numbers of 20: 1,4, 5, 10
Therefore 5 is the answer. GIMME BRAINLIEST PLS AND THANKS xD
please help!!!!!! I will mark brainliest!!!
Answer:
second dot choice thing
Answer:
The second dot that is the answer.
Step-by-step explanation:
hope this helps.
based on the picture below. find the angle measure for lmn.
Answer:
Step-by-step explanation:
4x + 2x = 90
6x = 90
x = 15
4(15)= 60 for <LMN
2(15)= 30
which statement about graph and horizontal line is true?
A. it’s slope is positive
B. it’s slope is negative
C. it’s slope is zero
D. it’s slope is undefined
Use the information to diswer
The area of the triangle shown is 40.0 cm2.
?
12.5 cm
What is the height of the triangle?
A. 3.20 cm
OB. 6.40 cm
OC. 13.8 cm
OD. 27.5 cm
You pick a ceratin amiunt of
Answer:
Okay so if your current scores are 93, 97, 89 and 81, You would have to score at least a 90. Even if you scored a 100%, the highest you would be able to make is a 92 average.
Step-by-step explanation:
Here's the thing about average, all you do is take all of the numbers, add them up, then divide them by the number of numbers there are.
For example, 93 + 97 + 89 + 81 = 360. There are 4 numbers so you would take 360 and divide it by 4 which gets you 90. 90 is your average.
To figure out the highest score you are able to get, take the highest score you can possibly score (100) and add it to the mix. 93 + 97 + 89 + 81 + 100 = 460. Now, there are 5 numbers. So you take 460 and divide it by 5 which will get you 92.
Hope I helped.
What is the scale factor 
Suppose a friend tells you she paid a total of $19,875 for a car, and you’d like to know the car’s list price (the price before taxes) so that you can compare prices at various dealers. Find the list price of the car if your friend bought the car in : Lilburn with a percentage of 7%
Answer:
10.31%
Explanation:
This is the answer
friend bought the car in Lilburn with a percentage of 7% ie the price list of the car is $18483.75.
How do I calculate percentage?If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.The proportion therefore refers to a component per hundred.Per 100 is what the word percent means.The letter "%" stands for it.Percentage, which meaning "per 100," designates a portion of a total sum.The use of percentages is widespread and diverse.For instance, many statistics in the media, bank interest rates, retail discounts, and inflation rates are all expressed as percentages.For comprehending the financial aspects of daily life, percentages are crucial.The friend paid total of $19,875 for a car.
7% of 19,875 = 1391.25.
The list price of the car = 19,875 - 1391.25 = 18483.75
To learn more about Percentage refer,
brainly.com/question/24877689
#SPJ2
-2.73= -0.42r
please answer
Answer:
Today: Thursday, 15 October 2020
Hour: 04.17 WIB (in Indonesian)
____________________________
-2.73 = -042r
r = -2.73/0.42
r = 6.5
Answer:
r = 13/2
hope this is grateful
What does the word “change “ tell you to do in “keep change flip” for dividing fractions? A) change the sing to multiplication b) change the sing to addition c) change the first fraction d) change the second fraction
Answer:
A
Step-by-step explanation:
Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Answer:
d change the second fraction
Step-by-step explanation:
i dont know how to explain it but yeah
The algebra teacher said if you square my age then subtract 23 times my age, the result is 50. How old is he?
Answer:
25
Step-by-step explanation:
Answer:
She is 25
Step-by-step explanation:
25^2 = 625
23*25 = 575
625 - 575 = 50
Pete bought a 16-ounce box of cereal for $3.58. What was the cost per ounce?
Answer:
Around 0.22 dollars or 22 cents
Step-by-step explanation:
We know that per 16 ounces it costs 3.58. We want the ounces to equal zero. To do that, we divide 16 by 0, but to keep it equal we need to divide 3.58 by 16. So...
16/16 = 1
3.58/16 = 0.22375
This means that every ounce of cereal, it costs 0.22375 dollars, but money can't go in the thousandths place, so we must round it to the hundredths place, which becomes 0.22 dollars, or 22 cents. I hope this helps and I hope it's not wrong but I don't think it is.
What are the Slope and Equation of the graph?
Answer:
Slope=2
Equation of the Graph is y=2x-6
Jason takes 3 pages of notes during each hour of class. In all, how many hours will Jason have to spend in class before he will have a total of 36 pages of notes in his notebook?
Answer:
36 pages/12 hours
Step-by-step explanation:
3 pages per hour
36 pages per ? hours
36 / 3 = 12
36 pages per 12 hours
Hope this helps!