Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the production line. What is the probability that exactly one of these three blue ray players is defective
Answer:
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
Step-by-step explanation:
For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used 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.
Five percent of all blue ray players manufactured by a large electronics company are defective.
This means that [tex]p = 0.05[/tex]
A quality control inspector randomly selects three players from the production line.
This means that [tex]n = 3[/tex]
What is the probability that exactly one of these three blue ray players is defective?
This is P(X = 1). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354[/tex]
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this
At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?
Answer:
266.65
Step-by-step explanation:
65% of 60 = 39 sandwiches sold
85% of 40 = 34 baguettes sold
all Jacket potatoes sold 3.25 x 25
34 x 2.70
39 x 2.40
add the total and comes to 266.65
help me pls i’m stuck
Answer:
m=1
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m=change in y / change in x
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]
please help me with this !!
Answer:
m∠J = 32°
m∠G = 78°
Step-by-step explanation:
ΔHJI ≈ ΔGEF respectively means;
∠H ≅ ∠G
∠I ≅ ∠E
∠J ≅ ∠F
Therefore;
Since ∠F = 32°, then ∠J = 32°
Since ∠H = 78°, then ∠G = 78°
Hope this helps!
Please someone can help me...
Answer:
C
Step-by-step explanation:
Although I don't see the graph, I will assume it's a graph about the relationship between time and distance walked.
Here's the logic:
If you walk a longer time, your distance increases.
Anyone here able to lend a helping hand?
Answer:
Step-by-step explanation:
1). Vertical intercept of the graph = Point at which the graph intersects the y-axis.
Therefore, vertical intercept is y = 1000.
In this situation vertical intercept means the initial dose of the drug taken = 1000 mg.
2). From the graph attached, point (x, y) represents,
x = Time 't' or duration
y = concentration of the drug after time 't'
Point (0, 1000) represents concentration = 1000 mg of the drug after t = 0 hour
Similarly, (1, 750) represents concentration = 750 mg after t = 1 hour
Therefore, fraction of drug remained = [tex]\frac{750}{1000}[/tex]
= [tex]\frac{3}{4}[/tex]
3). Let the equation, representing the concentration of the drug and time is,
[tex]y=a(b)^t[/tex]
Here, a = Initial amount of the drug (at t = 0 hours)
= 1000 mg
At (t = 1 hours), concentration of the drug = 750 mg
[tex]y=1000(b)^t[/tex]
[tex]750=1000(b)^1[/tex]
[tex]b=\frac{750}{1000}[/tex]
[tex]b=\frac{3}{4}[/tex]
Therefore, equation will be,
[tex]y=1000(\frac{3}{4})^t[/tex]
To find out your balance on a savings account at a bank, which
measurements must be accurate? Check all that apply.
A. Interest rate
B. The number of times interest is calculated for your account
C. Number of customers at the bank per day
Can i get some help hear
Answer:
Step-by-step explanation:
Since this is a assignment, I'll give a hint.
To find the area of a trapezoid, it'ls h(b1*b2)/2.
The height is how long the trapezoid is from each base.
The bases are the lines parralel to each other.
Is (x - 1) a factor of 2x^3– 3x^2– 18x – 8?
Answer:
No.
x-1 is not a factor of the polynomial
X-1 = 0
X = 1 ........(1)
put the value of X in given equation
2 (1)^3-3(1)^2-18(1)-8=0
2-3-18-8=0
-27 is not equal to 0.
x-1 is not factor of given equation....
HELP HELP HELP HELP!!!!
Answer:
18ft^2
Step-by-step explanation:
to find area of a triangle you you multiply the base times height then divide by 2 which for this question will come out to be 2. The area of square in this question is 4 time 4 which equals to 16. 16 plus 2 is 18, so the and is 18ft^2
X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14
9514 1404 393
Answer:
11
Step-by-step explanation:
4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11
or
4 × (2 3/4) = 4 × 11/4 = 11
What is the length of the line? ILL MARK YOU BRAINLIEST PLS HELP
Answer:
D
Step-by-step explanation:
6^2 is 36 1^2 is 1. 36+1=37 sqrt 37
Answer for brainlest
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°
Step-by-step explanation:
[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]
convert 77 ft to yards
Answer:
25.6667
Step-by-step explanation:
Divide the length value by 3.
77 divided 3 =
25.6667
Answer:
Step-by-step explanation:
25.66 SQM
If you have $100 and then lose $25 what is the percent change
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
The lost percentage is 25%
The percentage remaining is 75%
ThanksThanksHope it helpsIt is desired to estimate the average time it takes Statistics students to finish a computer project to within two hours at 90% reliability. It is estimated that the standard deviation of the times is 14 hours. How large a sample should be taken to get the desired interval? n = 231 n = 189 n = 325 n = 133
Answer:
n = 133.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of the times is 14 hours.
This means that [tex]\sigma = 14[/tex]
How large a sample should be taken to get the desired interval?
Within 2 hours, which means that we want n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{14}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*14[/tex]
Dividing both sides by 2
[tex]\sqrt{n} = 1.645*7[/tex]
[tex](\sqrt{n})^2 = (1.645*7)^2[/tex]
[tex]n = 132.6[/tex]
Rounding up, n = 133.
What is 36 1/2 of 146?
Answer:
This question is not worded well (textbook's fault, not yours) so there are two possible answers.
5329 or 1/4.
Step-by-step explanation:
If it means 146 36.5 times; then 36.5 • 146 = 5329 .
But if it means 36.5 out of (over) 146; then 36.5 ÷ 146 = 1/4 (aka 0.25)
Solve X^2 - 6x = -5 by completing the square. Show all work for the steps below. A) For x^2 - 6x + c = -5 + c, what value of c is used to complete the square? B) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. C) Solve for x. ( Will Mark Brainliest but no links or nonsense answers please) I Also Posted A Picture Of The Question And Steps so you can see what the question and steps are to take.
Answer:
Below.
Step-by-step explanation:
x^2 - 6x = -5
x^2 - 6x + 9 = -5 + 9 c = 9
(x - 3)^2 = 4
x - 3 = +/- sqrt4
x - 3 = +/- 4
x - 3 = 2 gives x = 5 and
x - 3 = -4 gives x = -1.
Let f(x) = 2x – 1 and g(x) = 3x
Find g(f(x))
Janice has $35.50
She has $10.35 more than Siti
siti has $12.80 less than Amiya
How much money does Amiya
have
siti = x
Janice = 35.50$
Janice = 10.35 + x = 35.50
x = 35.50 - 10.35
x = 25.15
Siti = 25.15$
Amiya = y
Amiya = y - 12.80 = 25.15
y = 25.15 - 12.80
y = 13.25$
Solve the equation –15 + 10y = 25 for y.
Answer:
y = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-15 + 10y = 25
Step 2: Solve for y
[Addition Property of Equality] Add 15 on both sides: 10y = 40[Division Property of Equality] Divide 10 on both sides: y = 4A tube-feeding formula is administered to a patient via Gastrostomy at 75
ml/hr. The formula contains 6.5% protein. How much protein will the patient
receive in the entire day, if the feeding must be held (stopped) for 2 hours
before and 2 hours after the administration of Dilantin twice a day?
39
Answer:
97.5ml protein
Step-by-step explanation:
20hr * 75ml/hr = 1500ml
1500ml * .065 = 97.5ml protein
The patient will receive 78 ml protein in the entire day.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Tube feeding formula = 75 ml/hr
Protein content = 6.5% of 75 ml/hr = 0.065*75 ml/hr
⇒ Protein content = 4.875 ml/hr
Now since, the feeding must be held (stopped) for 2 hours before and 2 hours after the administration of Dilantin twice a day
So, Stoppage total hours = 2(2 + 2) = 2*4
⇒ Stoppage total hours = 8
Thus, total hours in a day when formula is feed = 24 - 8 = 16 hours
Thus Protein received by patient = 16hr * 4.875 ml/hr
⇒ Protein received by patient = 78 ml
Thus, the patient will receive 78 ml protein in the entire day.
To learn more about expressions :
brainly.com/question/11568837
#SPJ2
Marley has marbles of the same size and shape in a bag. There are 2 green, 5
blue, and 3 red marbles in the bag. Marley picks two marbles without looking.
What is the probability he will pick two red marbles?
a) 3/15
b)1/15
c) 3/50
d) 1/4
Answer:
B.) 1/15
Step-by-step explanation:
10 total marbles3/10 - 1/1 = 2/93/10 × 2/9 = 1/15Which is the value of 2.3 - (-2.3)?
Answer:4.6
Step-by-step explanation:2.3-(-2.3) is the same thing as 2.3+2.3 which is 4.6
Answer:
4.6
Step-by-step explanation:
ASAP pls ...............
Answer:
36%
Step-by-step explanation:
There are 25 muffins 9 are carrots so that would mean the equation would be 9/25. Since this is a percentage we would change 25 to 100 by multiplying by 4 and multiplying the top by 4 as well which will result in 36/100 or 36%.*hope this helps*
Which expressions are equivalent to
-90-60w?
Choose 3 answers:
A) -30(3+2w)
B) (-9-6w)•10
C) -3(30-20w)
D) (6+4w)x15
E) -20(4.5+3w)
Answer:
C
Step-by-step explanation:
-30(3+2w= the other way around
c the better way around!
Thank you make me brainliest please!
A landscaper needs to prepare 5 identical conical-shaped hanging planters by filling three-quarters of each planter with soil. If the diameter of each planter is 14 inches and the height is 28 inches, approximately how much soil is required for all the planters
Answer:
Amount of soil need = 5,331.255 inch³ (Approx.)
Step-by-step explanation:
Given;
Number of conical planters = 5
Volume used in each planter = 3/4
Diameter of planter = 14 inch
Height of planter = 28 inch
Find:
Amount of soil need
Computation:
Radius of planter = 14 /2
Radius of planter = 7 inch
Amount of soil need = [Number of conical planters][Volume used in each planter][Volume of each planter]
Amount of soil need = [5][3/4][(1/3)(π)(r²)(h)]
Amount of soil need = [5][0.75][(0.33)(3.14)(7²)(28)]
Amount of soil need = [5][0.75][(0.33)(3.14)(49)(28)]
Amount of soil need = [3.75][1,421.66]
Amount of soil need = 5,331.255 inch³ (Approx.)
PLEASE HELP DUE IN 2 HOURS AND EXPLAIN STEP BY STEP SO I CAN EASILY UNDERSTAND PLEASE
PLS HELP I WILL GIVE BRAINLIEST
Answer:
im pretty sure its -14
Step-by-step explanation
Answer:
s= -17/12
17/12
Step-by-step explanation:
-5s - 14 = 7s +3
−5−14=7+3
-5s-14=7s+3
−5s−14=7s+3
−5−14+14=7+3+14
−5=7+17
-5s=7s+17
−5s=7s+17
−5−7=7+17−7
[tex]s=-\frac{17}{12}[/tex]