In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quality status of any rear view mirror produced in this process is independent of the status of any other rear view mirror. A quality control inspector is to examine rear view mirrors one at a time to obtain three defective mirrors. Determine the probability that the third defective mirror is the 10th mirror examined.
Answer:
The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088
Step-by-step explanation:
Given that:
Probability of manufacturing a defective mirror = 0.075
To find the probability that the 3rd defective mirror is the 10th mirror examined:
Let X be the random variable that follows a negative Binomial expression.
Then;
[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]
[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]
[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]
[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]
[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]
= 0.0087999
≅ 0.0088
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Reggie has 176 pictures of animals. He wants to keep half and then divide the rest equally among four friends. ... How many pictures will each friend get?
Answer:
each friend will get 22
Step-by-step explanation:
so you have 176 you divide that by half and you get 88 so then you divide the other 88 by 4 and you get 22 so Reggie kept 88 and all 4 friends each get 22
vincent has cut three pieces of rope to complete a science project
Answer:
Cool______________________________________________
please help!!!!!! 13 points
Answer:
4.5 and 6
Step-by-step explanation:
Answer:
x 2 4 6 7 9
y 1 2 3 3.5 4.5
Step-by-step explanation:
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Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%
A. $2156
B. $2165
C. $1965
D. $1959
Answer:
a
Step-by-step explanation:
PLEASEEEEEE HELP ME ITS DUE TODAY Use a proportion to solve each problem.
1. Tara walks a 2 mile route through her neighborhood for
daily exercise. It takes her 30 minutes. At this rate, how far
can Tara walk in 45 minutes?
2. An infant daycare requires 1 teacher for every 4 children.
How many teachers are required for 20 children?
3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?
4. Arlen delivers 28 newspapers each morning. The route takes
him 40 minutes. If his route increases to 35 newspapers, how
long will it take him?
6. On a map, 1 inch represents 50 miles. You measure the
distance on the map between two towns as 3 inches
How many miles apart are the two towns?
6. Kelsey earns $5 walking her neighbors' dogs twice a week.
At this rate, how much should Kelsey cam if she walks the
dogs 6 days each week?
7. Jeff drove the first 200 miles of a trip in 3 hours. At this
rate, how long will the 500 mile trip take, with no stops?
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in
30 minutes. Do they type at the same rate? Use a proportion
to explain.
Answer:
3 ; 5 ; 6 ; 40 ; 150 ; 15; 7.5 ; yes
Step-by-step explanation:
Given the questions:
1. Tara walks a 2 mile route through her neighborhood for daily exercise. It takes her 30 minutes. At this rate, how far can Tara walk in 45 minutes?
Speed = distance / time ; 2 / 0.5 = 4 mph
45 minutes = 0.75 hr
Distance = speed * time = 4 * 0.75 = 3 miles
2. An infant daycare requires 1 teacher for every 4 children. How many teachers are required for 20 children?
1 teacher = 4 children
x = 20 children
x = 20/4 = 5
5 teachers
3. To make purple frosting, you start with white frosting. Then you add 2 drops of red food coloring and 3 drops of blue food coloring. If 4 red drops come out with the first squeeze, how many blue drops should you add?
2 drops of red = 3 drops of blue
4 drops of red = x
x = 12 / 2 = 6 drops of blue
4. Arlen delivers 28 newspapers each morning. The route takes him 40 minutes. If his route increases to 35 newspapers, how long will it take him?
40 minutes
6. On a map, 1 inch represents 50 miles. You measure the distance on the map between two towns as 3 inches How many miles apart are the two towns?
1 inch = 50 miles
3 inch = d
d = 50 * 3 = 150 miles
6. Kelsey earns $5 walking her neighbors' dogs twice a week. At this rate, how much should Kelsey cam if she walks the dogs 6 days each week?
Twice a week = $5
6 times a week = (6/2) * 5 = $15
7. Jeff drove the first 200 miles of a trip in 3 hours. At this rate, how long will the 500 mile trip take, with no stops?
Rate = distance / time = 200 / 3 = 66.667mph
time = 500 /66.667 = 7.5 hours
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate?
Lisa's rate :
36 /6 = 6 minutes per page
Frank :
30 /5 = 6 minutes per page
Write a story problem using the measurement interpretation of division for the following ¾ ÷ ⅛
Answer:
there was 3/4 of a pizza left and gets divided with 8 people
Step-by-step explanation:
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
¾ and ⅛
Then the division between the numbers 6 and 1/3 will be given by putting a division sign between them. Then we have
⇒ ¾ ÷ ⅛
⇒ (¾) / (⅛)
⇒ (¾) × (⁸/₁)
⇒ 6
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Translate this sentence into an equation. The sum of 18 and Mabel's savings is 49. Use the variable m to represent Mabel's saving
Answer:
18 + m = 49 or 49 = 18 + m
Step-by-step explanation:
P.S Can I have brainliest?
3. Given the equation determine:
f(x)= x² - 4
f(-3)
Answer:5
Step-by-step explanation: F(-3)=(-3)^2 -4
(-3)^2=9
F(-3)=9-4
F(-3)=5
Answer:
5
Step-by-step explanation:
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Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A group of preschoolers has 7 boys and 27 girls. What is the ratio of girls to all children?
A. 27:7
B. 7:27
C. 27:34
D. 34/27
Someone please help look at the picture please anything would help
Subtract 8 feet from 9 yards, 1 foot.
A. 6 yards, 2 feet
B. 7 yards, 1 foot
C. 6 yards, 1 foot
D. 1 yard, 1 foot
Answer: B
Step-by-step explanation:
I knew I would have 1 foot left so that made sure it wasn’t A then I knew that it the answer had to be in yards so I convert 8 feet into yards which becomes 2.7 so it’s not three which makes I’m not C. So 9 yards minus 2.7 yards would equal the answer B
Answer:
your answer should be A let me know
Step-by-step explanation:
A
A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
In 7 minutes machine can fill 1 box.
Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.
What is the constant rate?A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function. The constant rate of change is also known as the slope. Linear functions will have a constant rate of change.
Now, in 35 minutes machine has filled 5 boxes.
So, 1 box is filled in 35/5=7 minutes.
Therefore, in 7 minutes machine can fill 1 box.
To learn more about the constant rate visit:
https://brainly.com/question/13659182.
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What is the equation of a line perpendicular to -x+2 =y that intersects the line at (-1.5.3.5)?
y = x + 2
O
y = x +5
O
y = -x+2
O
y = -x +5
о
Answer:
y=x+5
Step-by-step explanation:
Match each multiplication expression with the number of decimal places in its product
Answer:
Step-by-step explanation:
Digits after the decimal in a number decide the number of decimal places.
If there are 1 digit after the decimal, decimal place will be one decimal place.
Similarly, 2 digits after the decimal, decimal place will be two decimal place.
1). 4.2(0.938) = 3.9396 (Four decimal places)
2). 0.9(29.3) = 26.37 (Two decimal places)
3). 18(5.75) = 103.50 (Two decimal places)
4). 0.48(12.19) = 5.8512 (Four decimal places)
5). 3.21(2.4) = 7.704 (Three decimal places)
6). 50.7(14.06) = 72.842 (Three decimal places)
Answer:
The person above me is right.
Step-by-step explanation:
I did it on edge and got it right.
if x^2 = k + 1, then x^4 - 1 / x^2 + 1 =
Step-by-step explanation:
Since (x² + 1)(x² - 1) = x⁴ - 1,
(x⁴ - 1)/(x² + 1) = x² - 1 = k.
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.
Answer:
24 + 6
Step-by-step explanation:
A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?
Answer:
92, Hope this helps
Step-by-step explanation:
10000-5200= 4800/52 = 92.307 rounded up = 92
These points are linear. Find the slope.
Answer:
5
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{15-10}{3-2}[/tex]
= 5
The dance team has three cupcake sales a
year to raise money. The amount of money
they make is a function of the amount of
people who buy cupcakes. This function is
represented by the three ordered pairs (40,
100), (70, 175) and (90, 225). What is the
domain of this function?
help
Answer:
40,70,90
Step-by-step explanation:
PLEASE HELP :( I WILL GIVE BRAINLIEST ANYTHING
Answer:
Incline plane 4
Step-by-step explanation:
Plz help me with this plz I am marking branliest to correct answer plzzzzz
Answer:
Step-by-step explanation:
(a). ASA ≅ ASA
If two consecutive angles and the included side of a triangle are congruent to the two consecutive angles and the included side of another triangle, both the triangles will be congruent.
(b). SSS ≅ SSS
If three sides of a triangle are congruent to three sides of another triangle then both the triangles will be congruent.
2 markers fewer than m packs of markers that have 9 markers in each pack
Answer:
9m-2
Step-by-step explanation:
There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2
Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
Question #2
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answer:
is (-3,-2)
Step-by-step explanation:
because you are graphing them on a chart find
Answer:
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
Did the unit test review got it right.
Step-by-step explanation:
Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
in which every 2 inches represents 5 feet. On her scale drawing, the area of the room is 24.96 square
inches. If one side of her room is 12 feet long, how long is the other side of her room, in feet?
Answer:
The other side = 13 feets long
Step-by-step explanation:
Given that :
Scale of drawing : 2 inches represents 5 feets
Area of rectangular room according to scale drawing = 24.96 in²
Length of one side of the room = 12 feets
Length of other side = x
Area of rectangle = Length * width
If :
2 inches = 5 feets
x = 12 feets
x = (12 *2) / 5
x = 4.8 inches
Hence,
For the scaled drawing :
4.8 * width = 24.96
Width = 24.96 / 4.8
Width = 5.2 inches
Converting to feets according to scale:
2 inches = 5 feets
5.2 inches = x feets
x = (5.2 * 5 ) / 2
x = 13 feets
Other side is 13 feets long
what is the quotient 2 1/5 over negative 1/10
Answer:
25
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
those 2 1/5 divided by 1/10 = -22
which number is rational
A. square root of 16/6
B square root of 6
C. square root of 36/16
D. square root of 36/6
Answer:
36/16
Step-by-step explanation:
question: select the appropriate linear equation for the trend line
I NEED HELP! <3
A. y = x + 1
B. y = -x -1
C. y = x -1
D. y = -x + 1
Answer:
y=x+1
Step-by-step explanation: