Answer:
-12 < x < 18
Step-by-step explanation:
x-3 < 15
x < 18
and
-x + 3 < 15
-x < 12
x > -12
Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. What are the mean and standard deviation of X?
Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The mean 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]
In this problem:
Six percent of computer chips produced by Cheapo Chips are defective, hence [tex]p = 0.06[/tex].Each month a random sample of 200 chips manufactured that month are taken, hence [tex]n = 200[/tex]Then:
[tex]E(X) = np = 200(0.06) = 12[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at https://brainly.com/question/12473640
Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone. What is the value of r, Hectora's rate of work in part per hour?
The Hectora's rate of work in part per hour is 18 hours
Given the following parameters:
The time it takes Shawn and Hector to install a tile floor is 6 hoursTime taken by Shawn to install a tile is 9 hoursTime taken by Hectora to install a tile is r hoursTaking the sum of the reciprocals of the time taken;
1/6 = 1/9 + 1/r
1/r = 1/6 - 1/9
1/r = 9-6/54
1/r = 3/54
Cross multiply
3r = 54
r = 54/3
r = 18 hours
Hence the Hectora's rate of work in part per hour is 18 hours
Learn more about reciprocals here: https://brainly.com/question/2534506
Answer:
Step-by-step explanation:
1/9
Question 3 Multiple Choice Worth 4 points) (03 02) A fish is 5 feet below the surface of a lake if its position can be recorded as -5 feet what would the position of o representa o the distance above the surface of the lake O the distance below the surface of the lake O the surface of the lake me height of the fish
Answer:
omg u a real one been lloking for this bing bong
Step-by-step explanation:
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
A
Step-by-step explanation:
The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1
Hope that helps
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2) in standard form
Answer:
C(C^3 + 8C^2 -3C -7)
Step-by-step explanation:
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)
(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2) -7C [Combine like terms]
C^4 + 8C^3 -3C^2 -7C [Simplify]
C(C^3 + 8C^2 -3C -7) [Isolate 1C from the rest]
The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?
Answer:
jjjjStep-by-step explanation:
A bag holding 7 1/5 pounds of mixed nuts will be divided equally among 9 people.
How many pounds of nuts will each person get?
Answer:
4/5
Step-by-step explanation:
So sorry if im wrong <3
Answer:
Each person will get 4/5, or 0.8 pounds of nuts.
Step-by-step explanation:
First, we need to convert 7 1/5 into an improper fraction, by multiplying
7 x 5 = 35
and adding
35 + 1 = 36
Our improper fraction is 36/5
Now, we can divide
36 / 9
5 / 1
To do so, we need to switch 9/1 to its reciprocal, 1/9, and then multiply
36 x 1 = 36
5 x 9 = 45
Our answer is 36/45
We can simplify our answer by dividing by 9
36 / 9 = 4
45 / 9 = 5
Our final answer is 4/5, or 0.8 pounds of nuts
What is the equation y=2x reflected across the y axis
Answer:
[tex]y = -2\, x[/tex].
Step-by-step explanation:
Find two points on the original line, [tex]y = 2\, x[/tex]:
Setting [tex]x = 0[/tex] gives [tex]y = 0[/tex], which corresponds to the point [tex](0,\, 0)[/tex].
Setting [tex]x = 1[/tex] gives [tex]y = 2[/tex], which corresponds to the point [tex](1,\, 2)[/tex].
Reflect the two points with respect to the [tex]y[/tex]-axis by inverting the [tex]x[/tex]-coordinate of each point. The point [tex](0,\, 0)[/tex] stays the same, whereas the point [tex](1,\, 2)[/tex] would be mapped to [tex](-1,\, 2)[/tex].
Find the equation of the new line. The slope of the new line would be:
[tex]\begin{aligned}\frac{2 - 0}{(-1) - 0} = \frac{2}{(-1)} = -2\end{aligned}[/tex].
Equation of the new line in point-slope form:
[tex]y - 0 = (-2)\, (x - 0)[/tex].
[tex]y = -2\, x[/tex].
solve by elimination
Answer:
x
Step-by-step explanation:
equals 4 you can do rest
in 2020 the attendance at kennedy school's spring festival was 210. in 2021 the attendance was 168. What was tge percent change in the attendance from 2020 to 2022 tound to nearest whole percent
Step-by-step explanation:
Total change in number of student = (210 - 168)
=> 42
% change = Change/Original no. of students × 100
=> 42/210 × 100
=> 42/21 × 10
=> 20%
Your piggy bank has $85 and each day you take out $3. You want to have at least $22 left in your piggy
bank. How many days did you take money from your piggy bank?
what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work
Answer:
7/16 of book
Step-by-step explanation:
1/8 book in 2 days means Lora reads 1/16 book every day
In 1 week (7 days), Lora reads 7 x 1/16 = 7/16
Can you please help me with this question
Answer:
B
Step-by-step explanation:
The table that represents a function will have no x-values repeated.
A. 4 is repeated -- not a function
B. all x-values are unique -- this is a function
C. 2 is repeated -- not a function
D. 3 is repeated -- not a function
The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the length
of the base and h is the height. Solve this equation for h.
Answer:
h= (2a)/b
Step-by-step explanation:
solved for equation
Which of the following is a perfect square a) 1057 b) 625 c) 928 d) 64000
Answer:
625
Step-by-step explanation:
625 is the (perfect) square of 25. The other three numbers are not perfect squares.
b... 625
...............................
solve for X
explain steps too pls
Answer:
Value of [tex]x=30[/tex]
Step-by-step explanation:
When the two lines being crossed are Parallel Lines the Corresponding Angles are equal.
Hence
[tex]x+25=55\\\\x=30[/tex]
Define quadrilateral triangle ? Give two examples
Answer:
Defination of Quadrilateral Triangle :- A triangle is a simple closed curve or polygon which is created by three line-segments. On the other hand, in terms of Euclidean plane geometry, a polygon having four edges (or sides) together with four vertices is called a quadrilateral.Examples of Quadrilateral Triangle :- A quadrilateral is a closed two-dimensional figure that has 4 sides, 4 angles, and 4 vertices. Examples of quadrilaterals are :- square, rectangle and trapezium.Step-by-step explanation:
Hope this helps you dear ✌️Carry on learning !!Which pairs of figures are congruent? Which pairs are similar?
Answer: Look at the explanation
Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.
Congruent figures have the same shape and size.
Similar figures have the same shape but different size.
The 1st figure is not congruent but it is similar.
2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.
3rd figure is both, congruent and similar which are both triangles.
4th figure is neither. There is a circle and an elipse, which are both round but different shapes.
By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.
Hope this helps. Happy learning!
Plz help I will answer any questions u have if u help me
Answer:
12. C
13. A
Step-by-step explanation:
Pls help me asap don’t put any links and pls show me how you got that answer I will give brainliest
What is the value of X?
i think the answer is 8
bc the small one is 4 and the big one is 6
and the other one is 6 so it must be 8
please please help i beg ill give brainlist
Answer:
[tex]a_{15}=-268,435,456[/tex]
Step-by-step explanation:
First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc
[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]
The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:
[tex]a_n=a_1x^{n-1}[/tex]
It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.
Plug in the information we have to get the equation for this sequence:
[tex]a_n=(-1)(-4)^{n-1}[/tex]
Then, you can solve for the 15th term:
[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]
Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.
9.A construction company is building a roof on a house. The horizontal distance from the edge of the
roof to the peak is 25 ft. The vertical distance from the edge of the roof to the peak is 6.25 ft. Determine
the slope of the roof. Leave your answer in simplest form.
Answer:
Step-by-step explanation:
slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25
What is the graph of y- (-1) = -1/2(x-(-2))?
Answer:
Y(355-+=098) THAT WHAT I GOT
Step-by-step explanation:
Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x + 5y = 14
6x - 4y=9
Answer:
Approximately (2, 1)
See image
Step-by-step explanation:
Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.
Answer: 5/2, 4/3
explanation: got it from a different verified answer
Need help ASAP PLEASEEEEE
PLEASE DONT DELETE YOUR ANSWER THIS IS REALLY IMPORTANT !! :(
Answer:
(a) (4, -6)
Step-by-step explanation:
Try the values in the inequality and see which gives a true statement.
a) -3(4) +6 ≥ 5(-6) ⇒ -6 ≥ -30 . . . . true for (4, -6)
b) -3(2) +6 ≥ 5(3) ⇒ 0 ≥ 15 . . . . FALSE for (2, 3)
c) -3(-1) +6 ≥ 5(10) ⇒ 9 ≥ 50 . . . . FALSE for (-1, 10)
d) -3(6) +6 ≥ 5(-2) ⇒ -12 ≥ -10 . . . . FALSE for (6, -2)
Of course, if you're expecting only one right answer, you can stop after you found it.
What is the slope of the line?
what is -25pi over 12 in degrees
Answer: 0=75degrees
Have a Great Day/Night
14m - 7
Please help asap
Answer:
its very simple
answer is 21
Step-by-step explanation:
m=7+14
m= 21
help me pleaseeeeeeeeee
Answer:
See image
Step-by-step explanation:
For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)
In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.