Select the correct answer.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's
owner. The results of the test are shown in the table.
Total
Unlocked
2,418
232
Owner
Not the Owner
Total
Did Not
Unlock
582
768
3,000
1,000
4,000
2,650
1,350
What is the probability that someone who is able to unlock the phone using the biometric security feature is not the owner?
Answers
The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.
The results of the test are shown in the table.
Unlocked Did Not Unlock Total
Owner 2418 582 3000
Not the Owner 232 768 1000
Total 2650 1350 4000
Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be
P = 232 / 4000
P = 0.058
The probability in percentage will be
P = 0.058 x 100
P = 5.8%
Then the correct option is D.
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Answer:
8.8%
Step-by-step explanation:
I did the test.
Related Questions
If square ABCD is similar to square WXYZ and AB = 35 , AD = 30 , and WX = 42 , find WZ
Answers
Answer:
35.5
Step-by-step explanation:
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answers
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold
Answers
Answer: 20 cups :DD
Step-by-step explanation:
The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)
Answers
Answer:
H0 : μ = 3.2
H1 : μ > 3.2
1.982
We fail to reject the Null ;
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Step-by-step explanation:
μ = average time taken by the previous contractor. ; μ = 3.2
H0 : μ = 3.2
H1 : μ > 3.2
Sample size, n = 12 ;
X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
xbar = Σx / n = 53.2 / 12 = 4.43
Standard deviation, s ; using a calculator :
s = 2.15
B.)
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(4.43 - 3.2) ÷ (2.15 / sqrt(12))
1.23 ÷ 0.62065
= 1.982
C.)
Decision Region :
If Pvalue < α ; Reject the null
α = 0.05
Pvalue :
P(x < 1.982) = 0.9762
0.9762 > 0.05 ; Hence, we fail to reject the Null
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
What is the product of -8 and -7
Answers
Answer:56
Step-by-step explanation: -8x-7=56
Answer: -15
Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answers
Answer:
90
Step-by-step explanation:
Solve equation by using the quadratic formula.
2x? + 13x = 0
Answers
Answer:
c
Step-by-step explanation:
Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Answers
Answer:
The answer is that when you put the LMN. You can rotate it. Then we know it is similar.
Using the rotation method of the triangle LMN show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
What is the similarity law for triangles?It is necessary to demonstrate compliance with the law to establish that two triangles are identical in both shape and size. The angles that correspond to those sides have the same congruence and the same ratio of sides.
It is given that the two triangles are triangle XYZ and triangle NLM.
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
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What is y in this equation
Answers
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
Explanation/ none
In the accompanying figure, chords AB and CD of circle O intersect at E. If m AD=100 and m CB=70, what is m AED?
Answers
Answer:
85
Step-by-step explanation:
Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85
The value of angle m ∠ AED is,
⇒ m ∠ AED = 85 degree
We have to given that,
In the accompanying figure,
Chords AB and CD of circle O intersect at E.
And, m AD=100 and m CB=70.
Now, By given figure, we get;
⇒ m ∠ AED = (m AD + m CB) / 2
⇒ m ∠ AED = (100 + 70)/2
⇒ m ∠ AED = 170 / 2
⇒ m ∠ AED = 85 degree
Thus, The value of angle m ∠ AED is,
⇒ m ∠ AED = 85 degree
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Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
Answers
What is the value (Shown in the picture) of f(81)?
Answers
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..
Answers
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Option A, B, and C are correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
About 20% of the students are taking chemistry:
To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:
10/50 x 100% = 20%
Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.
About twice as many students are taking health science than are taking physics:
The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:
Health science : Physics = 12 : 6 = 2 : 1
Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.
For every 150 students, we could predict that at least 18 of the students are taking physics:
To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:
6/50 = 0.12
To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:
0.12 x 150 = 18
Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.
For every 25 students, we could predict that at least 4 of the students are taking Earth Science:
To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:
4/50 = 0.08
To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:
0.08 x 25 = 2
Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.
Therefore,
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
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Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song
Answers
Answer:
Step-by-step explanation:
Total songs = 8 + 4 + 2 = 14 songs
number of rock songs = 2
Number of rap songs = 4
Probability of rock songs = 2/14 = 1/7
Probability of rap songs = 4/14 = 2/7
can u tell me is this test important or not
Answers
Answer:
Yes, indeed it is one of the most important examinations.
the area of one face of a cube is 36 square feet. what is the volume of a cube that has edges twice as long?
a. 144 feet cubed
b. 216 ft cubed
c. 1,728 ft cubed
d. 5832 ft cubed
Answers
Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Length of remnant fabric = 9.7m
Number of 0.85m length needed for patio = 12
Total length needed = (0.85 * 12) = 10.2m
The length of fabric needed is more than the length of remnant fabric found ;
10.2 m - 9.7m = 0.5m
Hence, Alex will need 0.5m more fabric
BC
Round your answer to the nearest hundredth.
А
50°
?
3
B
Answers
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
Helpppppppp plsss ASAP math look at picture for details
Answers
Ther *must* be an faster way of symplifying this expression. What could I have done differently?
Answers
Answer:
3x4
Step-by-step explanation:
You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12
A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?
Answers
explanation: y=mx+b
Answer:
y=6x+9
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
Are all rectangles and squares are parallelograms ?
Answers
Answer:
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
Yes, they are.
Answer:
Yes
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.
Hope it is helpful....Find the surface area of the rectangular prism be sure to include the correct unit in your answer
Answers
Answer:
SA = 292 m²
Step-by-step explanation:
SA = (2x6x8)+(2x7x6) + (2x7x8) = 292 m²
A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.
Answers
9514 1404 393
Answer:
length: 24 ftwidth: 42 ftStep-by-step explanation:
The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...
L(2L -6) = 1008
L² -3L -504 = 0 . . . . . divide by 2, put in standard form
(L -24)(L +21) = 0 . . . . factor
L = 24 . . . . makes the first factor zero
W = 2L -6 = 2(24) -6 = 42
The length of the rectangle is 24 feet; the width is 42 feet.
If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?
Answers
Answer:
dimensions are 2 ft, 24ft
Step-by-step explanation:
width = w
length = 12w
Area of rectangle = 48 square feet
length * width = 48
12w * w = 48
12w² = 48 {Divide both side by 12}
w² = 48/12
w² = 4 =2²
w =2 ft
l = 12*2 = 24ft
Answer:
Solution :-Let the width be w and Length will be 12w
So,
Area = lw
48 = 12w × w
48/12 = w²
4 = w²
√4 = √w²
2 = 2
Length = 12(2) = 24 cm
Breadth = 2 cm
[tex] \\ [/tex]
What is the answer for 82-(72+1)
Answers
Answer:
The answer should be 9.
Step-by-step explanation:
How do I solve this???
Answers
Answer:
Step-by-step explanation:
please please help me i’ll give you brainliest
Answers
hope it helps
I need help with math asap
Answers
um where’s the question?
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Answers
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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