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.
answer please quick its due
Answer:
a
Step-by-step explanation:
Please answer! will mark brainilest eight tenths plus nine tenths equals
Answer:
it equals 17 tenths
Step-by-step explanation:
Answer:
the answer will be 0.7 for sure
Step-by-step explanation:
for the steps
the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9
so when you calculate (add) both
0.8+0.9
gives
0.7
A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP
The diagram is not drawn accurately.
AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13
You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain
Answer:
Yes since 40+30=70 so it would be the same
Step-by-step explanation:
A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?
12 fishes are in the tank
A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?
Answer:
Step-by-step explanation:
12angelfish(8fish/3angelfish)=32 fish
Y=1/3x+14 in point slope form
Answer:
ok so.. whats the question?
Step-by-step explanation:
Answer:
y = 1/3x + 14
Step-by-step explanation:
The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.
Look at image to get the questions
Answer:
Step-by-step explanation:
What do you have to do solve it or what
On a particularly rainy day the amount of rainfall measured in a rain gauge increased at a
rate of 1.5 inches each hour for 4 hours. What is the total change in the amount of rain that
has fallen after 4 hours?
find the area of the shaded region under the
standard normal curve. If convenient, use technology to find the area
Answer
The area of the shaded region under the standard normal curve is 0.4834.
Step-by-step explanation:
A random variable X is said to have a normal distribution with mean, µ and variance σ².
Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Compute the area under the curve between -2.13 and 0 as follows:
Thus, the area of the shaded region under the standard normal curve is 0.4834.
find the value of x. (geometry)
Answer:
18.02 units
Step-by-step explanation:
I need help in my really struggle in math
Answer:
.
Step-by-step explanation:
.
Answer:
tell me a problen and I will help you solve it
Step-by-step explanation:
486.664946274 + 541.24664245567 =
Answer:
the answer is 1027.91159
Help now plsssssssssssssssssssssss
Answer:
Your answer is 5009.2
Upvote it. Welcome
Answer:
5009,206
Step-by-step explanation:
Hope this helped!
Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches
Please help i need to help
Answer:
4.25
Step-by-step explanation:
Step 1: 23-(17-12)²+6.25
Step 2: 23-5²+6.25
Step 3: 23-25+6.25
NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?
Answers
4/5
1/5
3/4
1/3
Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3
Step-by-step explanation:
Answer:
3/4 or 1/3
Step-by-step explanation:
Determine whether the given procedure results in a binomial distribution. If not, state the reason why?
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
a. Not binomial: the trials are not independent.
b. Not binomial: there are more than two outcomes for each trial.
c. Procedure results in a binomial distribution.
d. Not binomial: there are too many trials.
Answer:
b. Not binomial: there are more than two outcomes for each trial.
Step-by-step explanation:
Binomial probability distribution:
We need
Fixed number of trials.
Independent trials.
Each trial can be reduced to a yes/no proposition.
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.
What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. -3
B. -1
C. 1/3
D. 1
Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)
To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.
a. treatments
b. levels
c. factors
d. None of the above
Answer:
A - treatments
Step-by-step explanation:
We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;
- no texting while driving.
- sending five text messages while driving
- sending 10 text messages while driving
In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.
What is the value is x
X=
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(2x +1)/12 = (x +4)/8
2(2x +1) = 3(x +4) . . . . . multiply by 24
4x +2 = 3x +12 . . . . . . . eliminate parentheses
x = 10 . . . . . . . . . . . . . . subtract 2+3x
Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?
Answer:
7 hours 30 minutes
Step-by-step explanation:
Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)
4 hours so far.
takes 1 hour break and returns for 12:30.
She finishes at 4. Time from 12:30 to 4 is (3h30)
3h30 + 4 = 7h30m
Check yourself ^
Evaluate 3(c + d) if c = 8 and d = -5
Factor as the product of two binomials.
x^2 - 3x +2=
Answer:
(x−1)(x−2)
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLS HELP!!!!
The hypotenuse of ANY right triangle is [tex]\sqrt{2}[/tex] times the leg.
TRUE OR FALSE AND ALSO EXPLAIN
Help me pls pls pls
On an island, the deer population has been decreasing by 4% per year (). The current population is 792 deer.
Assume that the deer population continues to decrease by 4% per year. Which of the following logarithmic equations best models the number of years it will take for the deer population to decrease from 792 deer to 674 deer?
Answer:
X = log(0.96)(0.85)
Step-by-step explanation:
Given that on an island, the deer population has been decreasing by 4% per year and the current population is 792 deer, assuming that the deer population continues to decrease by 4% per year, to determine the number of years it will take for the deer population to decrease from 792 deer to 674 deer the following calculation must be performed:
792 x 0.96 ^ X = 674
X = 3.95
So, rounded to whole numbers, it will take 4 years for the deer population to drop to 674.
A portable basketball hoop is on sale for 25% off the original price of $142. What is the sale price?
Carla is fundraising for her school. She buys t-shirts for $7.50 each and then she sells the t-shirts with a markup of 150%. What is the selling price of each t-shirt?
Dinner costs $22.50. Apply sales tax of 9.5%. Then add a 20% tip to the after tax bill. What is the final cost of dinner?
Find the interest earned on a $125 investment at a 7.5% simple interest rate for 6 months? Use the formula I = Prt
Find the total account balance for a $400 investment that earns a 6% simple interest rate over a 5 year period. Use the formula I = Prt.
Sweatshirts are on sale for 35% off the regular price, x. What expression can be used to find the sale price of a sweatshirt.
Answer in order.