Answer:
0.1322 = 13.22% probability that the soldier is mal-adjusted.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Soldier is mal-adjusted.
Probability of a positive test:
55% of 5%(mal-adjusted).
19% of 100 - 5 = 95%(well adjusted). So
[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]
Probability of a positive test and soldier being mal-adjusted.
55% of 5%. So
[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]
What is the probability that the soldier is mal-adjusted?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]
0.1322 = 13.22% probability that the soldier is mal-adjusted.
How many solutions does the equation have? 7x +3 - x=3(1 + 2x) (A) 0 (B) 1. (C) infinitely many
Answer:
C) Infinitely many
Step-by-step explanation:
7x+3-x=3(1+2x)
6x+3=3+6x
Subtract 3 from both sides
6x = 6x
Infinitely many solutions
What is the answer to this question
Can someone please please answer this
Answer:
10°
Step-by-step explanation:
You can see the three angles shown form a straight line, meaning they add up to 180°. We can et up the equation:
m<AOC + m<COD + m<DOB = 180°
And we can substitute the values we have:
5a + 18 + 24 - a + 8a - 30 = 180
Next, we can combine all like terms:
12a + 12 = 180
12a = 168
a = 14
Now, to find each angle, we can substitute the value of a:
m<AOC = 5a + 18 = 5(14) + 18 = 88°
m<COD = 24 - a = 24 - 14 = 10°
m<DOB = 8a - 30 = 8(14) - 30 = 82°
The smallest angle is <COD with a measure of 10°.
Check My Work According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data for the sale of 40 randomly selected homes sold in Greene County, Ohio, in showed a sample mean of 3.6 weeks with a sample standard deviation of weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in . Round your answer to four decimal places.
Complete question :
According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion
Answer:
H0 : μ = 3
H1 : μ ≠ 3
Test statistic = 1.897
Pvalue = 0.0653
fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Step-by-step explanation:
Given :
Sample size, n = 40
Sample mean, x = 3.6
Population mean, μ = 3
Standard deviation, s = 2
The hypothesis :
H0 : μ = 3
H1 : μ ≠ 3
The test statistic :
(xbar - μ) ÷ (s/√n)
(3.6 - 3) / (2/√40)
0.6 / 0.3162277
Test statistic = 1.897
Using T test, we can obtain the Pvalue from the Test statistic value obtained :
df = n - 1; 40 - 1 = 39
Pvalue(1.897, 39) = 0.0653
Decison region :
If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.
α = 0.05
Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Can someone please help me i will mark u brilliant
Answer:
11
Step-by-step explanation:
The line plot shows how many people read many many books with the number of "x"s above each number. So, through this graph, we see that 0 people read 0 books, 5 people read 1 book, 3 people read 2 books, 6 people read 3 books, 3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books. The problem asks how many people read 4 or more books. So, we add up all the people that read 4 or more books shown on the graph, which is 4, 5, 6, 7, and 8.
3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books.
3 + 3 + 2 + 2 + 1 = 11. 11 students read 4+ books.
identify vertex of this parabola
Answer:
the vertex of the parabola is at (1,2)
Consider A TUV in the figure below.
The perpendicular bisectors of its sides are AD, BD, and CD. They meet at a single point D.
(In other words, D is the circumcenter of A TUV.)
Suppose CD= 36, BV=58, and UD = 60.
Find UV, VD, and TC.
Note that the figure is not drawn to scale.
U
V
UV - 10
D
VD = 0
TC -
Х
?

Answer:
Step-by-step explanation:
8
13) A school counselor asked a random sample of seventh- and eighth-
grade students how long it takes them to get ready for school each
morning. The dot plot and the box plot below summarize the results for
the two random samples. Which statement correctly describes the two
data sets below? *
Answer:
A. The range of both data sets is 40
Step-by-step explanation:
Range = the maximum value - the minimum value
✔️For the Seventh-Grade Students' data set,
Maximum value = 45
Minimum Value = 5
Range = 45 - 5 = 40
✔️✔️For the Eight-Grade Students' data set,
Maximum value = 45 (the value at the whisker to your far right)
Minimum Value = 5 (value indivl ated by the whisker on your far left)
Range = 45 - 5 = 40
Therefore, the two data sets can be described as having the same range of 40.
Which variable will you choose to eliminate? How?
8x + 3y = -7
7x + 2y = -3?
I need to show the work Can someone please help?
Thank you
Answer:
Variable elimination 8x+3y=-7 3y=-8x-7 y=-8/3x-7/3 Now plug it into y 7x-16/3x-14/3=-3 5/3x-14/3=-3 5/3x=5/3 x=1Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for?
Answer: five and a half weeks.
Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5
Rewrite log44=1 in exponential form.
Answer:
The exponential form of [tex]\log_{4} 4 = 1[/tex] is [tex]4 = 4^{1}[/tex].
Step-by-step explanation:
After some research in the web, we find that correct statement is:
Rewrite [tex]\log_{4} 4 = 1[/tex] in exponential form.
We obtain its exponential form by using the definition of logarithm:
[tex]4^{\log_{4} 4} = 4^{1}[/tex]
[tex]4 = 4^{1}[/tex]
A company owns two stores and recorded data for the number of days missed by employees.
Store 1. 1, 2, 1, 1, 0, 4, 2, 0, 0
Store 2. 1, 0, 1, 1, 0, 4, 9, 1.
Select true or false for each statement.
Based on the median, typically employees missed more days at Store 2 than at Store 1
The median number of days missed by employees at Store 2 is 0.5
The number of days missed by employees at Store 1 ranged from 0 to 4
Answer:
a) false, median is 1 for each store
b) false, median at store 2 is 1
c) true
Step-by-step explanation:
The choices are
•The same line
•Neither parallel nor perpendicular
•perpendicular
•parallel
PLEASE HELP!!!
Answer:
The answer is Perpendicular
Tommy the Dunker's performance on the basketball court is influenced by his state of mind: If he scores, he is twice as likely to score on the next shot as he is to miss, whereas if he misses a shot, he is five times as likely to miss the next shot as he is to score.
(a) If Tommy has missed a shot, what is the probability that he will score two shots later?
(b) In the long term, what percentage of shots are successful?
Help !!!!!!!!!!!!!!!!!!!!!
Answer:
6/52 is a reasonable answer
1. Richard bought 4 shirts that cost $85 all together. Each shirt cost the same
amount. The model below represents this situation.
Which equation below and solution for x does the model represent?
A 2x + 2x = 85, x = 42.50
B 4 + x = 85, x = 21.25
C x + x + x + x = 85, x = 21.00
D 4x = 85, x = 21.25
Answer: D
Step-by-step explanation:
Give the base and exponent of the expression. 3^5
Answer:
joe mama
Step-by-step explanation:
All but 6 of the 25 students in my 6th grade math class play spring sports.
What percent of the students do not play spring sports?
Answer: 24% of students
Step-by-step explanation:
6 students divided by 25 total students = 0.24. You would multiply 0.24 by 100 or move the decimal two places to the right to get the percentage. In this case, the percentage would be 24%. 24% of students do not play spring sports.
[tex]6/25 = 0.24 *100 = 24 percent[/tex]
Find the value of X and Y that make these triangles congruent by the HL theorem.
Answer:
x=5, y=6
Step-by-step explanation:
By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.
So put the hypotenuses equal to each other, and put the side lengths equal to each other.
3x-2=2y+1
x=y-1
Sub 'y-1' into the first equation for x:
3(y-1)-2=2y+1
3y-3-2=2y+1
y=6
x=y-1=6-1=5
The point-slope equation of a line is
O A. y+ X- XV0 = m
O B. y= m(x-yo)
O C. y+ mx - mxoyo
O D. y-yo = m(x - xo)
Answer:
D. [tex] y - y_0 = m(x - x_0) [/tex].
Step-by-step explanation:
The equation of a line can be written in the point-slope form if we know the the coordinates of a point the line passes through which is [tex] (x_0, y_0) [/tex]. And if we also know the slope = m of the line.
Therefore, the point-slope equation is given as:
[tex] y - y_0 = m(x - x_0) [/tex]
What is 12.4 inches in millimeters
What is 23.1 inches in millimeters
Answer:
314.96
586.74
Step-by-step explanation:
Answer:314.96; 586.74
Step-by-step explanation:
1 inch = 25.4 millimeters
12.4 x 25.4 = 314.96
23.1 x 25.4 = 586.74
Multiply the number of inches by 25.4 to convert to millimeters :).
How much bigger is 9 3/4 than 9 5/8
Answer: (9 3/4)= 78/8 is greater than 77/8 = (9 5/8)
Step-by-step explanation:
there for 9 3/4 is 1/8th greater than 9 5/8
Tina has 8 pounds of flour to bake cookies. She uses 1/2 of a cup of flour to make each batch. How many batches of cookies can she make?
Group of answer choices
16
8
1/16
9
126,349 rounded to the hundred place
Answer:
126,300.
Step-by-step explanation:
Answer:
Your answer would be 126,350!
Step-by-step explanation: Since the ones place is directly beside the hundreds place to the right, you would use this number to determine whether you stay or round up. 9 is greater then 5, meaning you round up making the hundreds place a 5. Hope this helps! :)
A factory produced 150 tons
Answer:
Nice
Step-by-step explanation:
but tons of wut'
When x=10 and y=2
x²-11(x-y)=
Answer:
[tex]10 {}^{2} - 11(10 - 2) \\ 100 - 11 \times 8 \\ 100 - 88 \\ = 12[/tex]
Hope this helps ya mate!Which sets of data show the correct media? Sort the tiles into their proper categories. 9, 3, 6, 1, 4 (median = 4) Correct Median Incorrect Median 4. 9, 11, 13, 16, 20 (median = 12) 1, 6, 9 (median = 6) 2. 7.9, 11, 14, 76 (median = 76) 43, 46, 48, 52 (median = 48) 3, 10, 7 (median = 10)
Answer:
Correct Median:
9, 3, 6, 1, 4 (median = 4)
1, 6, 9 (median = 6)
4. 9, 11, 13, 16, 20 (median = 12)
Incorrect Median:
2. 7.9, 11, 14, 76 (median = 76)
43, 46, 48, 52 (median = 48)
3, 10, 7 (median = 10)
PLEASE HELP I WILL MARK BRAINLIEST!
find the length of the third side.
Thank you!
Answer:
We use Pythagoras' theorem:
[tex] \bf {AC}^{2} = {AB}^{2} + {BC}^{2} \\ \\ \bf {AC}^{2} = ( \frac{12}{13})^{2} + ( \frac{5}{13} )^{2} \\ \\ \bf {AC}^{2} = \frac{ {12}^{2} }{ {13}^{2} } + \frac{ {5}^{2} }{ {13}^{2} } \\ \\ \bf {AC}^{2} = \frac{144}{169} + \frac{25}{169} \\ \\ \bf {AC}^{2} = \frac{169}{169} \\ \\ \bf {AC}^{2} = 1 \\ \\ \bf AC = \sqrt{1} \Rightarrow \red{ \boxed{ \bf AC = 1} } [/tex]
Answer:
AC = 1
Step-by-step explanation:
This is Pythagoras' theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
⇒ Th.P ⇒ AC² = AB² + BC²
<=> AC² = (12/13)² + (5/13)²
<=> AC² = 144+25/169
<=> AC² = 169/169
<=> AC² = 1
⇒ AC = √1 = 1.
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications. Find the lower confidence limit (LCL) for a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. Round your answer to two decimal places.
Answer:
The LCL for a 90% confidence interval for p is 0.82.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.
This means that [tex]\pi = 0.89, n = 60[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]
Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.
I need a math wizard!! Anyone know the answer?
Answer:
SinA = CosB
SinB = CosA
CosA = SinB
CosB = SinA