Answer:
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
Step-by-step explanation:
For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Flashlight works correctly if both its batteries have acceptable voltages:
Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:
[tex]p = (0.88)^2 = 0.7744[/tex]
10 flashlights.
This means that [tex]n = 10[/tex]
What is the probability that at least 9 of the flashlights function properly?
This is
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260[/tex]
[tex]P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776[/tex]
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036[/tex]
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
A thrift store was selling an Atari 2600 for $80 before deciding to have a
40% off promotion. A customer comes in to buy the console and pays with
a 10% off any one item coupon. The coupon states that the 10% off
coupon applies after any in-store promotions. How much will the
customer pay after both discounts?
Answer:43.2
Step-by-step explanation:
first you do 80-40% and then -10%
Jacob's piggy bank has
18 quarters, 20 dimes, 24 nickels,
and 43 pennies. He chooses a coin,
does not replace it, then chooses
another. What is the probability
that he chose a dime then
a nickel?
Answer:
Step-by-step explanation:
the population of a small town is 1847 and is increasing at a rate of 3.7% per year. Use an exponential function to find the population of the town after 13 years he
Answer:
4.498723571*10^10
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
Option 2
Step-by-step explanation:
Because it shows that it is going up in a half not a whole.
A vase in the shape of a cube measures 8 inches on each side. The vase is half full with water. How many cubic inches of water are in the vase?
The solution is
??????
in³.
Answer:
64in cubed
Step-by-step explanation:
Because if the vase if half full, half of 8 is 4. To find the volume of a cube is l x W x H. So 4 x 4 x 4= 64.
What is the decimal multiplier to decrease by 3.9%?
Answer: 0.961
Answer:
Answer is right!
Step-by-step explanation:
Have a nice day!
HELP PLEASE
answer choices:
A)
The graph is reflected across the x-axis.
B)
The graph is translated 2 units in the positive x-direction.
C)
The graph is vertically shrunk by a factor of ½.
D)
The graph is reflected across the y-axis.
Answer:
I think its C. I'm not sure I havent been thought this lesson.
Answer:
B)
The graph is translated 2 units in the positive x-direction.
Step-by-step explanation:
i just got it right on the test
F(t)=212-6t
what is the value of t when F (t) = 140?
Answer: -628
Step-by-step explanation:
F(140) = 212 - 6(140)
F(140) = 212 - 840
F(140) = -628
Find the solution set of the inequality.
5<−5+|3a|
Answer:
5 < -5 + |3a|
<=> 10 < |3a|
<=> 3a > 10 or 3a < -10
<=> a > 10/3 or a < -10/3
Who can me with this Help????
Answer:
Step-by-step explanation:
what is the broken image part supposed to say?
PLEASEEEEEE HELPPPPPP IM SO CONFUSED IVE BEEN TRYING TO SOLVE FOR DAYS
I WILL ALSO GIVE BRAINLIEST!!!
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 12.81 mm. What is a reasonable domain to plot the growth function?
Answer:
9 days
Step-by-step explanation:
1= 9*(1.04)^d
12.81/9= (1.04)^d
1.423= (1.04)^d
log(1.423)= d *log(1.04)
0.1532=d * 0.017
d= 0.1532/0.017
d=9
The reasonable domain to plot the growth function is in the interval [0,9].
Answer:
9 days
Step-by-step explanation:
Solve the inequality 8c + 6 < -6c - 1
Answer:
c < - 0,5
Step-by-step explanation:
8c + 6 < - 6c - 1
// move the terms
8c + 6c < - 1 - 6
// collect the terms
14c < - 7
// divide both sides by 7
2c < -1
// divide both sides by 2
c < - 0,5
HELP PLS ASPPPPPPPPPP
Answer:
C x is equal to or greater than 3
A researcher needs to split 20 plants into two treatment groups of 10 plants each. How many different groupings can be formed?
2
If there are only 20 plants and they have to be broken up into groups of 10 then the answer would be 2.
-Ɽ3₮Ɽ0 Ⱬ3Ɽ0
Solve the inequality
-2(5x + 1) > 48
Answer:
x<-5
Step-by-step explanation:
-10x-2>48
-10x-2+2>48+2
-10x>50
-10x/-10 > 59/-10
= x<-5
Sully saves 2/3 of her paycheck for bills. If she makes $1,983, how much does she
have to pay her bills?
13.65 = h + 4.88 What the answer
Answer:
h = 8.77
Step-by-step explanation:
Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Subtract 4.88 from both sides:
h + 4.88 = 13.65
h + 4.88 (-4.88) = 13.65 (-4.88)
h = 13.65 - 4.88
h = 8.77
8.77 is your answer for h.
~
Please help WORTH 20 POINTS the highlighted one is wrong
Answer:
the answer is b
Step-by-step explanation:
Solve the equation.
4 2/5 + k= −3 2/11
k=
Answer:
k = -3636
Step-by-step explanation:
you subtract 425 from both sides, it cancels out on the left and adds more to the right
I can determine if a sequence is arithmetic and find the common difference. (1.4) a) – 3, 1, 5, 9, 13, .... b) -12, -6, -3, -1.5....
what is a equation for a point that is translating 2 spaces left, 3 spaces up and then reflects over the x axis
the number of cars in a parking lot are no more than 7
Which graph shows only the solutions of the inequality that makes sense for this situation?
Answer:
its on the bottom of the first answer the third one
Step-by-step explanation:
The First graph shows only the solutions to the inequality that makes sense for this situation.
What is Inequality?
Relation between two mathematical identities which is not equal that is it can be either greater than or less than or greater and equals to or less and equals to etc, is called Inequality.
In the given problem the variable is the number of cars.
Let us assume that the variable c represents the variable quantity which is the number of cars for the inequality.
Now we know that number of cars is always a positive and whole number.
So the suitable inequality to represent the condition that the number of cars is not more than 7 that is less than or equals to 7 is,
[tex]c \leq 7[/tex]
So the solutions are c=0,1,2,3,4,5,6,7
Hence the first graph shows the correct solution for the given inequality condition.
To learn more about Inequality here -
https://brainly.com/question/25275758
#SPJ2
Please help.Find the circumference (to the nearest whole number). Use 3.14 for pi.
A.116 in
B. 88 in
C.44in
D.None of the above
The circumference is approximately 88 inches.
The correct option is B. 88 in.
To find the circumference of a circle, we can use the formula:
C = 2πr,
where C represents the circumference and r represents the radius of the circle.
Given that the radius, r, is 14 inches, we can substitute this value into the formula:
C = 2 x 3.14 x 14.
C ≈ 87.92 inches.
Thus, the circumference is approximately 88 inches.
Learn more about circumference of a circle here:
https://brainly.com/question/17130827
#SPJ2
Help????????????? I need answer
=====================================================
Work Shown:
y - y1 = m(x - x1)
y - 2 = 3(x - 5)
The m is the slope, while the (x1,y1) refers to the point the line goes through.
Side note: If you wanted to convert this to slope intercept form, then it would become y = 3x - 13. The y intercept is -13.
Answer:
C
Step-by-step explanation:
PLEASEEE HELP
I NEED ANSWRR NOW
Answer:
B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH
Part E Find half of the time that Devon skied without falling, and write inequalities to compare it with the times others in the family skied without falling.
Answer:
For Half of Devon's Time you would put 172 divide by 2 equals 186. For comparison:
kelvin 223>86
Lori 55<86
Vanessa 265>86
Celia 112>86
Arnold 356>86
Step-by-step explanation:
Which sum is equal to
8/12
Answer: 2/3
Step-by-step explanation:
For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
Answer:
either 4/6 or 2/3
Step-by-step explanation:
Because 12 can be divide in half which is 6, and 8 divided by 2 is 4, so your fraction is now 4/6. if this answer isn't on the screen then you have to do it again: 4 divide by 2 is 2, and 6 divided by 2 is 3, so your fraction is now 2/3.
Hope this helps you. Tell me if it doesn't or if it does.
In the function f(x), x is replaced with 3x.
f(x)=1/2sin(x)−4
What effect does this have on the graph of the function?
A. The graph is vertically stretched by a factor of 1//3.
B. The graph is vertically compressed by a factor of 1/3.
C. The graph is horizontally stretched by a factor of 1/3.
D. The graph is horizontally compressed by a factor of 1/3.
Just took the test, so the answer is...
D. Horizontally compressed by a factor of 1/3
[tex]f(x)=\frac{1}{2}sin(x)-4[/tex] is horizontally compressed by a factor of 1/3 to get [tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]
Option D is correct
What is horizontal compression?
Note that:
If a function [tex]f(x)=Asin(x)[/tex] is transformed to [tex]g(x)=Asin(kx)[/tex], it means that the function f(x) is horizontally compressed by 1/k
Relating this rule to the given function [tex]f(x)=\frac{1}{2}sin(x)-4[/tex]
If x is replaced with 3x, the function will become:
[tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]
This means that the graph of [tex]f(x)=\frac{1}{2}sin(x)-4[/tex] is horizontally compressed by a factor of 1/3 to get [tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]
Learn more on horizontal compression of graphs here: https://brainly.com/question/2938738
A Redbox movie costs $1.50. Redbox charges $1 per day for late movies. If Henry's movie is 3 weeks late, how much money does he owe for his movie?
Answer:
$22.50
Step-by-step explanation:
3 weeks = 21 days
21 × 1 + 1.50
21 + 1.50
22.50
Find the unknown term in each proportion.
1/3 = ?/12
Answer:
Step-by-step explanation: 4/12
Answer:
4
Step-by-step explanation:
4 is the missing number! i hope this helps, have a great day:)