Answer:
it’s the second one
Seventy-nine percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired?
a. Fewer than 7
b. Fewer than 9
c. Fewer than 6
d. Fewer than 10
Answer:
c. Fewer than 6
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
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]
In the binomial distribution, an outcome is considered unusual if it is more than 2.5 standard deviations below the mean.
Seventy-nine percent of products come off the line ready to ship to distributors.
This means that [tex]p = 0.79[/tex]
Your quality control department selects 12 products randomly from the line each hour.
This means that [tex]n = 12[/tex]
Mean:
[tex]E(X) = np = 12*0.79 = 9.48[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.79*0.21} = 1.41[/tex]
Unusual:
[tex]9.48 - 2.5*1.41 = 5.96[/tex]
So fewer than 6 is considered unusual.
PLEASE ANSWER QUICKLY I WILL GIVE YOU BRAINLIEST ANSWER
A boat rental company has two kinds of boats, rowboats and motorboats. The expressions below represent the cost, in dollars, for renting each kind of boat for x number of hours.
Cost of a rowboat rental: 8.5x+3
Cost of motorboat rental: 17.50x+25
Which expression shows how many more dollars it costs to rent a motorboat than a rowboat for x hours?
A. 8x+22
B. 9x+22
C. 9x+28
D. 26x+28
Answer:
The answer is B. 9x + 22
Step-by-step explanation:
17.50x + 25
- 8.5x + 3
= 9x + 22
Mae Ling earns a weekly salary of $325 plus a 7.5% commission
on sales at a gift shop. How much would she make in a work week if she sold
$5,800 worth of merchandise? Write in money format.
Answer:
$760
Step-by-step explanation:
Given data
weekly = $325
commission= 7.5%
if she sold $5,800 worth of merchandise
Her earnings will be
Week earning= base salary+ 7.5% of sales
Week earning= 325+ 7.5/100*5800
Week earning= 325+ 0.075*5800
Week earning= 325+ 435
Week earning= $760
A triangle has angles measuring 25° and 45°. What is the measure of the triangle's third angle?
Oa 90°
O b. 110°
Oc. 20°
Od 180°
to search
CAN SOMONE PLEASE HELP
Answer:
The answer to this question is B
Answer:
the answer for this question is 110°
Step-by-step explanation:
you have to add the angles first in this case 25 and 45
and then subtract the sum from 180.
so.... 25+45=70
180-70=110
hope its was helpful :)
Geometry Regents Cl-1 / Quarter 2 / Week 18:1/18 - 1/22 / Independent Learning Assign
7. What is the sum of the exterior angles of polygon QRST
Answer:
360°Step-by-step explanation:
The sum of the exterior angles of any polygon is 360 degrees and the QRST is not an exception.
Mr. Hall has $216 to spend on supplies for classroom you by bookshelf in some books the bookshelf cost $81 you buy books that cost three dollars each which inequality can be used to find all the possible numbers of books Mr gall can buy
Answer:
its 45
reason is 216-81 = 135 divide by 135/3=45
Select all the expressions that are equivalent to 24a – 6. 2(12a – 3) –3(2a + 2) + 18a 3(–2 + 8a) –6(2 – a) + 18a + 6 –2(12a + 3)d
Answer:
2 (12a-3)
Step-by-step explanation:
do distributive property
2 x 12a = 24a
2 x -3 = -6
Answer:
2(12-3)
Step-by-step explanation:
2 x 12 =24 2 x -3=-6
Pls help this is due ASAP I’ll brainlest for the right answer
Answer:
The factors: x + 2 and 3
The product: 3x + 6
Nathan nets $680 every other week. How much does
Nathan earn per month on average? To be safe, how much
should Nathan estimate as income in a typical month?
A. Average: $1473.33: Safe: $1360
B. Average: $2946.67; Safe: $1360
C. Average: $2946.67; Safe: $1473.33
D. Average: $2946.67; Safe: $2720
A shopkeeper bought 50 kg of sugar and sold 1/4th of the sugar. find the mass of sugar that was left
Answer:
12.5 kg
Step-by-step explanation:
50 divided by 4 = 12.5
Answer: 37.5kg
Step-by-step explanation:
When you hear "of", it indicates multiplication. When you multiply by 1/4, you can also divide by 4 to get the same answer. 50/4 = 12.5kg sold
But that isnt our net sugar because thats how much he sold. Subtract that from what he has currently, and youll get the sugar he has after selling the 1/4th.
50 - 12.5 = 37.5kg
Find the slope of the line:
x - 5 = 0
Answer:
Undefined
Step-by-step explanation:
Add 5 to both sides to get the equation x=5. X=5 is a vertical line. The slope, or change in y / change in x would be undefined since the change in x is always zero. Anything divided by zero is undefined.
One week gas was $1.25 per gallon. The next week gas was $1.50 per gallon. By what percentage did the price increase?
A number x is less than 12.
Answer:
Step-by-step explanation:
Not completly sure what your looking for but it X would be any number lower then 12 (11,10,9,8,7,6,5,4,3.2,1)
Answer:
1-11
Step-by-step explanation:
its less than 12!
hope this is correct! c:
If one factor of x2 + 2x – 24 is (x+6), what is the other factor?
(x+8)
(x–8)
(x+4)
(x−4)
Answer:
(x - 4)
Step-by-step explanation:
The other factor would be (x - 4)
You can use trial and error for this
An inequality is shown below.
Which situation is best represented by the inequality?
Answer:
Option C is the correct answer.
Comment for explaination
Zoe paid $18.60 in sales tax and tips for her dinner. The sales tax rate is 11% and she tipped 20%, percent. (The sales tax does not apply to the tip, and the tip is based on the price of the dinner before sales tax.)
Answer:
Tip: $3.72
Tax rate: $2.05
Step-by-step explanation:
Tax & Tip included: $24.37
Hope this helped!
Allerga counted 7.5 red cards and 15 black cards in a deck of cards. What is the ratio of red cards to black cards
Answer:
7.5:15
It cannot be simplified further
Step-by-step explanation:
Hope this helps! Have a nice day!
Find the distance from point P to the given line
Answer:
The distance from point P, P(-2,4) to the given line y= 2x-2 is 1.56
Step-by-step explanation:
We need to find the distance from point P to the given line
P(-2,4) , y= 2x-2
The formula used is: [tex]Distance=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }[/tex]
Where A, B and C are points of line i.e Ax+By+C=0
and x_1 and y_1 are points of P
So, y=2x-2 in Ax+By+C=0 is:
2x-y-2=0
A=2,
B=-1
C=1
Point given is P(-2,4)
x_1=-2
y_1=4
Putting values and finding distance
[tex]Distance=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }\\Distance=\frac{|2(-2)+-1(4)+1|}{\sqrt{(-2)^2+(4)^2} }\\Distance=\frac{|-4-4+1|}{\sqrt{4+16} }\\Distance=\frac{|-7|}{\sqrt{20}}\\Distance=\frac{7}{\sqrt{20} }\\Distance=\frac{7}{4.5}\\Distance=1.56[/tex]
So, the distance from point P, P(-2,4) to the given line y= 2x-2 is 1.56
Use the function f(x)=2x+3 to find the value of f(4)
Answer:
f(x) =11
Step-by-step explanation:
Replace x with 4
f(4) = 2(4) + 3
multiply
f(4)= 8+3
add
f(4) = 11
i really really need help with all of these you don't have to show your work but please help me with at least some or all of them pls i'm giving 50 points!!!!!
Answer:
Step-by-step explanation:
1. 24+9/2pi, 2. 51 3. 86. 4. 90 5. 56, all of these are done with the addition or subtraction of simple geometric formulas such as those for a rectangle,circle or triangle.
Answer:
Step-by-step explanation:
1. Rectangle + Semi-Circle
[tex]A = a*b + \frac{\pi r^{2}}{2}\\a=6, b=4, r=\frac{a}{2} = 3\\A = 24 + 4.5 \pi = 38.14 in^{2}\\[/tex]
2. Large Rectangle - Small Rectangle
[tex]A = 15 * 5 - 6*3 = 75 - 18 = 57 in^{2}\\[/tex]
3. Rectangle - Trapezoid
[tex]A = a * b - \frac{c+d}{2}h = 20*17 - 6 * \frac{6+12}{2} = 340 - 54 = 286 cm^{2}\\[/tex]
4. The composite figure is a rectangle if the triangle is moved to left and fills the missing part
[tex]A = a * b = 10 * 9 = 90 m^{2}\\[/tex]
5. Square - Triangle
A = [tex]A = a^{2} - \frac{b^{2}}{2} = 8 * 8 - \frac{4 * 4}{2} = 64 - 8 = 56 cm^{2}\\[/tex]
6. Circle - Square
[tex]A = \pi r^{2} - a^{2} = 64 \pi - 12 * 12 = 64 \pi - 144 = 57.06 m^{2}[/tex]
7. Square - Triangle
[tex]A = a^{2} - \frac{b*h}{2} = 15 * 15 - \frac{10 * 8}{2} = 225 - 40 = 185 sq.ft.[/tex]
8. Rectangle + Triangle
[tex]A = a *b + \frac{a*h}{2} = 9.5 * 9 + \frac{9.5*12}{2} = 85.5 + 57 = 142.5 in^{2}\\[/tex]
9. Triangle + Rectangle
[tex]A = \frac{a*b}{2} + c * d = \frac{12*10}{2} + 12 * 6 = 60 + 72 = 132 sq.ft.[/tex]
10. Rectangle + Quarter Circle
[tex]A = r * b + \frac{\pi r^{2}}{4} = 6 * 8 + \frac{36 \pi}{4} = 48 + 9 \pi = 76.27 in^{2}\\[/tex]
11. Square + Rectangle
[tex]A = a^{2} + b * c = 7 * 7 + 9 * 14 = 49 + 126 = 175 m^{2}[/tex]
12. Rectangle - 2 * Square
[tex]A = a * b - 2 * c^{2} = 25 * 18 - 2 * 8 * 8 = 450 - 128 = 322 sq.ft.[/tex]
13. Trapezoid
[tex]A = \frac{a+b}{2} * h = \frac{10+15}{2} * 15 = 12.5 * 15 = 187.5 sq.ft.[/tex]
14. Trapezoid - Rectangle
[tex]A = a * h - c * d = 12 * 7 - 9 * 5 = 84 - 45 = 39 in^{2}[/tex]
15. Rectangle - Triangle
[tex]A = a * b - \frac{a * b}{2} = \frac{a*b}{2} = \frac{10 * 20}{2} = 100 in^{2}[/tex]
16. Square + Trapezoid
[tex]A = a^{2} + \frac{a + b}{2} * h = 25 + \frac{5 + 9.5}{2} * 6 = 25 + 43.5 = 68.5 in^{2}[/tex]
Mark's football team has scored about 24 points each game. They played 12 games this season.
What is the best estimate for the total number of points they scored in the season?
Answer:
36
Step-by-step explanation:
well you could add 24+12 which equals 36
Which box plot represents the data set 2, 4,4,8,10,12
Answer:
A.
Step-by-step explanation:
Give the data set: 2, 4, 6, 8, 10, 12.
Find the following:
Min, Q1, Median, Q3, and Max.
Min. = 2
Q1 = 4
Median = (6+8)/2 = 7
Q3 = 10
Max = 12
Check the box plot to see which one represents these values above.
Thus:
The correct box plot would have the whisker to your left at 2, representing the min value.
The Q1 would be at represented by the beginning box the edge of the rectangular box that starts at 4.
The median would be represented by the vertical line that divides the box which would be on 7.
The Q3 would be on the end of the box which is at 10.
The max would be represented by the other whisker that goes to our right, representing 12.
The box plot is that represents this data is the box plot given in option A.
F(x)=6x^2-x-2
Please answer! I need help
The Ratio of girls to boys in the art club of Wilson Middle School is 3 to 2. About what percent of the members in the art club are boys?
Answer:
i believe it's 20%
Step-by-step explanation:
girls: 3
boys: 2
ratio: 3:2
so, 20%
The graph below shows the solution set of which inequality
Answer:
D.
Step-by-step explanation:
LAST ONE THEN IM GONE TILL NEXT YEAR
jk not really
Answer:
2) Quadrant IIis the right answer.
A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.9% of the 457 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.
NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
Define the Random Variables X and P', in words. which of the following?
a.) X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b.) X is the proportion of all runners that die, and P' is the number of all runners that die.
c.) X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d.) X is the number of all runners that die, and P' is the proportion of all runners that die.
Answer:
From given data, University conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.9% of the 454members of 50 plus fitn
URGENT Write the equations of a line parallel to y = -1/3x-4 thru (6,-4)
y=-1/3x-2. Hope this helped! :)
Answer:
y = -1/3x - 2Step-by-step explanation:
Given line:
y = -1/3x - 4Parallel line has the same slope:
y = -1/3x + bUse the given point to find the y-intercept:
-4 = -1/3*6 + b-4 = - 2 + bb = -4 + 2b = -2The line is:
y = -1/3x - 2Zach is building a new shed shaped like a square prism. He wants the height of the shed to be 2 feet less than the length and width. If he needs the volume to be as close as possible to 3174 ft 3 , what should the length be
Answer:
[tex]15.394\ \text{feet}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the length and width of the base of the prism and,
[tex]y[/tex] be the height of the prism.
Now height of the prism is 2 feet less than the length and width.
So [tex]y=x-2[/tex]
Volume of the the square prism is [tex]3174\ \text{ft}^3[/tex]
[tex]x^2y=3174[/tex]
Now we graph both the functions.
The point at which they intersect each other is [tex](15.394,13.394)[/tex]
So, the length of the prism is [tex]15.394\ \text{feet}[/tex].
What is the equation for a line parallel to y=-4x-9 that passes through the point 0,8