Using the binomial distribution, it is found that there is a 0.6521 = 65.21% probability that at least 1 is defective.
For each phone, there are only two possible outcomes, either it is defective, or it is not. The probability of a phone being defective is independent of any other phone, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
0.14 probability of a single phone being defective, hence [tex]p = 0.14[/tex]7 phones are selected at random, hence [tex]n = 7[/tex]The probability that at least 1 is defective is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.14)^{0}.(0.86)^{7} = 0.3479[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3479 = 0.6521[/tex]
0.6521 = 65.21% probability that at least 1 is defective.
A similar problem is given at https://brainly.com/question/24863377
PLS HELP PLS HELP PLS HELP
The answer is 3/22
Hope this help~
The total number of boys and girls in a class are 45 students. If 65% of the children are girls, what percentage are boys?
Answer:
35%
Step-by-step explanation:
100% - 65% = 35%
Hope this helps!
Answer:
35%
Step-by-step explanation:
65% of 40 is 29.25
40-29.25=15.75
15.75 over 45 × 100 = 0.35
0.35 is also written as 35%
This is just a longer method if it requires more steps:)
Can you help please?
Write $1.50 to $12.00 as a ratio in fraction form in lowest terms.
Answer:
1/8
Step-by-step explanation:
pls help with this pls
Answer:
1.5 songs/minutes
Step-by-step explanation:
30÷20 = 1.5
The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?
Answer: The amount budgeted for Auto Expenses is $18,200
Step-by-step explanation:
13 Percent of $140,000 is $18,200
0.13 times 140,000 :-)
A 16-cup carton of ice cream costs $12.00. What is the price per pint?
9514 1404 393
Answer:
$1.50 per pint
Step-by-step explanation:
1 pint = 2 cups, so the cost of it is ...
x/(2 cups) = $12/(16 cups)
x = (2)($12/16) = $1.50 . . . . . . multiply by 2 cups
The price per pint is $1.50.
What equals 10³ I need to know
Answer:
1,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
1000
Step-by-step explanation:
10³
=10×10×10
1000
Part B
Find the slope of the following graph and enter your result in the empty box,
pls help me
nonsense answer=report
good answer=+points
Hope it helps.
Do comment if you have any query.
plz plz heelp me i need heelp
How much money did the top tickets take in?..
$1025, $525+$325+$175=$1025
There are 594 calories in six ounces of a certain ice cream. How many calories are there in two pounds?
1 pound=16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of calories for?
Answer:
3,168 cal= 2lbs of Ice Cream
Step-by-step explanation:
I need to fin how many calories are in two pounds of that ceratin ice cream.
594cal/6=99cal
99cal=1 oz
16oz x 2 = 32oz
99 x 32 = 3,168 cal
There is 3,168 cal in two pounds of ceratin ice cream.
What is the average of 100, 125, 150, 25
100
Step-by-step explanation:
So, you are essentailly finding the mean (the average of a set of numbers).
1. Add up all the numbers (should get 400)
2. Divide by the amount of numbers presented in the set. (Here there are 4)
3. Solve : 400/4 = 100
(b) Notice that x=0.5 meter when θ = 45o. By approximately how many radians should you increase θ if you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line approximation.
The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:
Initial triangle
[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)
Final triangle
[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)
By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)
By (1), we simplify the expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)
If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:
[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)
Then, we reduce (3b) into an entirely algebraic expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)
Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].
Now we clear [tex]\Delta \theta[/tex] within the formula:
[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex] (5)
If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:
[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]
[tex]y_{2} \approx 0.545[/tex]
[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]
[tex]\Delta \theta = 0.095[/tex]
As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845
arrange the following in ascending order
3/4 , -1/3 , 1/-2 , 3/10
Answer:
Ans: 1/-2 , -1/3 , 3/10 , 3/4
Step-by-step explanation:
The LCM of 2, 3, 4 and 10 is 60.
Let's make denominator equal,
→ 3/4 , -1/3 , 1/-2 , 3/10
→ 3×15/4×15 , -1×20/3×20 , -1×30/2×30 , 3×6/10×6
→ 45/60 , -20/60 , -30/60 , 18/60
Now we can order in ascending,
→ -30/60 , -20/60 , 18/60 , 45/60
→ 1/-2 , -1/3 , 3/10 , 3/4 {final answer}
If you added 1, 900 pounds and 2 tons, what would the total weight be?
a) 2, 100 pounds
b) 5, 900 pounds
c) 3, 900 pounds
d) 3.9 tons
Answer:
B) 5,900 pounds
Step-by-step explanation:
1,900 pounds + 2 tons = 5,900
6x+3>15 solve for a please
Answer:
x>2
Step-by-step explanation:
1) 6x+3 > 15
2) 6x > 15-3
3) 6x > 12
4) x > 12÷6
5) x > 2
Log2(x-1)+Log2(x+2) =2
Find X
If 20% of the students were boys, what fraction were girls?
Answer:
Girls are 4/5 of the students.
Step-by-step explanation:
boys + girls = 100% of students.
If 20% of the students are boys then 80% are girls
80% = 80/100 = 4/5
Total consumption of fruit juice in a particular country in 2006 was about 1.41 billion gallons. The population of that country in 2006 was 400 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Answer:
3.525 gal/person
Step-by-step explanation:
My class would consume 52.875 gallons
choose the inequality that represents the following graph
Answer:
A
Step-by-step explanation:
if the hole is not shaded that means it can not equal 5 and due to the fact that the line stops at 5 means it's less than 5 so the answer is A
(18−42+2)21÷4⋅12 what does it equal
Dry Clean USA has finished cleaning 30% of their 730 orders. How many orders do they still need to finish cleaning?
Step-by-step explanation:
100% = 730
1% = 100%/100 = 730/100 = 7.3
30% = 1% × 30 = 7.3 × 30 = 219
so, they finished 219 of their 730 orders.
that leaves 730 - 219 = 511 orders still to be finished.
Evaluate the function f(x) =-x/2 -7x -2 find f(-9)
Answer:
[tex]f(-9)=\frac{131}{2}[/tex]
Step-by-step explanation:
In order to evaluate a function at a given x-value, plug in that value into the actual function
[tex]f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}[/tex]
Mark bakes 12 more cookies than joe. mark bakes 36 cookies. how many cookie does joe bake?
Answer:
Mark bakes 36 cookies
Joe bakes cookies
36-12=24
Joe bakes 23 cookies
Hello can someone please help me with this
Answer:
I would assume it is c. 1, because of rounding, but I'm only 70% sure.
Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.
Step-by-step explanation:
10y - 3(y + 2) > 2y + 4
10y - 3y - 6 > 2y + 4
(10 - 3 - 2)y > 4 + 6
5y > 10
y > 10/5
y > 2
[tex] \: [/tex]
Solution → y > 2
Interval Notation → [tex] \lang 2 , \infty\rang[/tex]
The solution in interval notation is: (2, ∞)
To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:
Step 1: Distribute the -3 on the left side of the inequality:
10y - 3y - 6 > 2y + 4
Step 2: Combine like terms:
(10y - 3y) - 6 > 2y + 4
7y - 6 > 2y + 4
Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:
7y - 2y - 6 > 2y - 2y + 4
5y - 6 > 4
Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:
5y - 6 + 6 > 4 + 6
5y > 10
Step 5: Finally, solve for y by dividing both sides by 5:
y > 10/5
y > 2
The solution to the inequality is y > 2. Now, let's write it in interval notation.
To know more about interval:
https://brainly.com/question/29126055
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What is the length of BC in the right triangle below?
Answer:
A. 122
Step-by-step explanation:
in right-angle triangle,
AB² + AC² = BC²
22²+120² = BC²
2²×11² + 2⁶×5²×3²= 2²(121+16×25×9)
4(121+3600) = 14884
BC=√14884 = 122
what is x and y in the equation 9x + 20y > 120
Answer:
independent variable/ variables
Step-by-step explanation:
