Answer:
300.20
Step-by-step explanation:
because it was a nice guesss
i can’t get this question
Answer:
19
y = 6x - 11 it says the input is 5 so you input 5 as x
y = 6(5) - 11
y = 30 - 11
y = 19
If (-2, y) lles on the graph of y = 3*, then y =
The value of y in the equation y = 3^x for the point (-2, y) is 1/9
How to determine the value of yFrom the question, we have the following parameters that can be used in our computation:
y = 3^x
The above function is an exponential function
Exponential functions are mathematical functions that involve a base raised to a power
Where the base is a constant greater than zero And not equal to one.Also, we have
(-2, y)
Substitute the known values in the above equation, so, we have the following representation
y = 3^-2
Evaluate
y = 1/9
Hence, the value of y is 1/9
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12a^4+ (-29a^4) simplify
Answer: -17a^4
Step-by-step explanation:
Combine like terms
12a^4 +(-29a^4)
(12a^4-12a^4) - (29a^4-12a^4) =
-17a^4
Hope this helps
Question 9 A company's cost, in dollars, of manufacturing & tablet computers can be represented by 25+ 150. The company's predicted revenue of selling z tablet computers is 50+30z. Which expression below represents the profit of selling computers? Simplify as much as possible. (profit revenue-cost)
Total cost = 20x + 200
Predicted revenue = 100 + 30x
profit = revenue – cost
= (100 + 30x) - (20x + 200)
= 100 + 30x - 20x - 200
Profit = 10x - 100
What is the value of x?
9 is the equivalent value of x from the given triangle.
The triangular bisector theoremThe angle bisector theorem is concerned with the proportions of the two segments that a line that bisects the opposite angle divides a triangle's side into.
Applying the rule to solve the given question, we will have:
3x-7/12 = 3x +3/18
Cross multiply
12(3x+3) = 18(3x-7)36x + 36 = 54x - 126
Collect the like terms
36x-54x = -126 - 36
-18x = -162
x = 162/18
x = 9
Hence the value of x from the given figure is 9.
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please solve i really need help
The growth rate of the plant shown in the graph is 1/2 centimeter per week
Calculating the growth rate of the plant in the graphFrom the question, we are to determine the growth rate of the plant
To determine the growth rate of the plant, we will determine the slope of the line
To determine the slope of the line passing through the points (1, 1/2) and (3, 1 1/2), we can use the slope formula:
Slope = (Change in y) / (Change in x)
We first calculate the change in y by subtracting the y-coordinate of the first point from the y-coordinate of the second point:
Δy = 1 1/2 - 1/2 = 1
Next, we calculate the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point:
Δx = 3 - 1 = 2
Finally, we can calculate the slope by dividing the change in y by the change in x:
Slope = Δy / Δx = 1 / 2
The slope of the line is 1/2.
Hence, the growth rate is 1/2 centimeter per week
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Any help will be awesome
?????????????????????????
Answer:
(-5, 2)
Step-by-step explanation:
We can see that the g(x) is a translated form of f(x) using the formula:
y = (x - h)³ + k,
where (h, k) is the origin of the graph's translation.
We can assign the following h and k values based on the given g(x):
g(x) = (x + 5)³ + 2
h = -5
k = 2
Finally, we can form an ordered pair (h, k):
(-5, 2)
An experiment published in The American Biology Teacher studied the efficacy of using 95% ethanol and 20% bleach as disinfectants for removing bacterial and fungal contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using eggplant as the plant tissue cultured. Five cuttings per plant were placed on a petri dish, disinfected using each agent, and stored at 25 Celsius for 4 weeks. The observations reported were the number of uncontaminated eggplant cuttings after the 4 weeks of storage. Relevant data is given in the following table. Are you willing to assume that the underlying population variances are equal?
Disinfectant Sample mean Sample variance Sample size
95% Ethanol 3.73 2.78095 15
20% Bleach 4.80 0.17143 15
Since t = -2.41 < -2.145, reject [tex]H_o[/tex] and conclude Ha, i.e. that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested.
How to solve(a) Are you willing to assume that the underlying variances are equal?
Absolutely not! The variances can NOT be assumed equal.
H_o: sigma1^2 = sigma2^2
H_a: sigma1^2 =/ sigma2^2
F = s1^2 / s2^2 = 2.78095 / 0.17143 = 16.222
alpha = .05, dfnum = 15-1 = 14 and dfdenom = 15-1 = 14
F-critical values
= .33573 = F.INV(.025,14,14) using Excel
= 2.978588 = F.INV(.025,14,14) using Excel
Since F = 16.222 > 2.978588, reject H_o and conclude H_a, i.e. that the population variances significantly differ.
Or, using the p-value from the TI-84... p-value = 5.59E-6 = .00000559 < alpha = .05, so we can reject H_o and conclude H_a, i.e. that the population variances significantly differ.
(b) Using the information from part a), are you willing to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested ?
Note: Since the population variances ARE significantly different, we can NOT use the pooled t-test as rapunzel shows.
H_o: mu1 = mu2
H_a: mu1 =/ mu2
t = (xbar1-xbar2) / sqrt(s1^2/n1 + s2^2/n2)
t = (3.73 - 4.80) / sqrt(2.78095/15 + .17143/15)
Note: We do NOT square the variances. They are already squared.
t = -2.41
t-critcal values
df = smaller of n1-1 and n2-1, i.e. the smaller of 15-1 = 14 and 15-1 = 14
--> df = 14
left tail critical value = -2.145 <-- alpha/2 = .025, df = 14
right tail critical value = +2.145 <-- alpha/2 = .025, df = 14
Since t = -2.41 < -2.145, reject H_o and conclude H_a, i.e. that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested.
Or, using the p-value from the TI-84... p-value = .028486... < alpha = .05, so we can reject H_o and conclude H_a, i.e. that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested.
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An experiment published in The American Biology Teacher studied the efficacy of using 95% ethanol and 20% bleach as a disinfectant in removing bacterial and fungal contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using eggplant as the plant tissue being cultured. Five cuttings per plant were placed on a petri dish for each disinfectant and stored at 25 centigrades for 4 weeks. The observation reported was the number of uncontaminated eggplant cuttings after the 4-week storage.
Disinfectant 95% Ethanols 20% Bleach
Mean 3.73 4.80
Variance 2.78095 0.17143
Pooled variance: 1.47619
Are you willing to assume that the underlying variances are equal?
Using the information from part a), are you willing to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested ?
HELP ASAP, WILL GIVE FIRST ANSWER BRAINLIEST, 50 POINTS!!!
Triangle NMO is drawn with vertices N(−4, −2), M(−1, −1), O(−4 , −5). Determine the image coordinates of N′M′O′ if the preimage is translated 7 units to the left.
N′(3, −2), M′(6, −1), O′(3, −5)
N′(−4, −9), M′(−1, −8), O′(−4, −12)
N′(−4, 5), M′(−1, 6), O′(−4, 2)
N′(−11, −2), M′(−8, −1), O′ (−11, −5)
Answer: Your welcome!
Step-by-step explanation:
N′(−11, −2), M′(−8, −1), O′ (−11, −5)
The image coordinates of N′M′O′ if the preimage is translated 7 units to the left are N′(−11, −2), M′(−8, −1), O′ (−11, −5). This is calculated by subtracting 7 from the x-coordinate of each point in the original triangle NMO. For example, the x-coordinate of point N in the original triangle is -4, so the x-coordinate of point N′ in the translated triangle is -4 - 7 = -11. The y-coordinate of point N does not change, so the y-coordinate of point N′ is also -2.
Answer:
To translate the triangle 7 units to the left, we need to subtract 7 from the x-coordinates of each vertex:
N' = (N_x - 7, N_y) = (-4 - 7, -2) = (-11, -2)
M' = (M_x - 7, M_y) = (-1 - 7, -1) = (-8, -1)
O' = (O_x - 7, O_y) = (-4 - 7, -5) = (-11, -5)
Therefore, the image coordinates of N'M'O' are (-11, -2), (-8, -1), and (-11, -5).
So the answer is N′(−11, −2), M′(−8, −1), O′ (−11, −5).
Need help with the bottom two a little confuse
Answer:
the third one
Step-by-step explanation:
the third one
What is the tax on a $40 purchase if sales tax is 5%?
Answer:
Before Tax Price: $40.00
Sale Tax: 5.00% or $2.00
After Tax Price: $42.00
Step-by-step explanation:
Answer:
42 dollars
Step-by-step explanation:
When doing tax problems, we need to memorize the formula of:
price + tax • price = price with sales tax.
This formula works because you have the initial percentage of the cost, with the added tax, which gives the extra value--then added together it gives the sales cost price.
So let's plug our numbers in
40 + (0.05 or 5%) • 40 = price with sales tax
40 + 2 = price with sales tax
42 = price with sales tax
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3. Sergio's savings account statement showed a previous balance of $234.95 and interest of $1.06. The statement also showed deposits of $123.42 and $50.66 and withdrawals of $323.09. What is his new balance?
Sergio's new balance is $87
How to calculate the new balance?Sergio's savings showed a previous balance of $234.95 and interest of $1.06
The statement also showed deposits of $123.42 and $50.66 and withdrawals of $323.09
The new balance can be calculated by adding the previous balance, interest, deposits in the statement and then subtract the sum total from the withdrawal amount
234.95 + 1.06 + 123.42 + 50.66 - 323.09
= 410.09 - 323.09
= 87
Hence Sergio's new balance after adding the deposits, previous balance then subtracting from the withdrawal is $87
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Which conic section does the equation below describe? (x - 3)^2)/10 - (y + 5)^2)/9 = 4
Answer:
The given equation is of the form:
((x - h)^2)/a^2 - ((y - k)^2)/b^2 = 1
Comparing it with the given equation:
((x - 3)^2)/10 - ((y + 5)^2)/9 = 4
We can rewrite the equation in the standard form by dividing both sides by 4, then adding (y+5)^2/9 to both sides:
((x - 3)^2)/40 - ((y + 5)^2)/36 = 1
Now, we can see that the equation is in the standard form of a hyperbola. The center of the hyperbola is (3, -5), the distance between the center and each vertex is sqrt(10) in the x-direction and sqrt(9) in the y-direction, and the hyperbola opens to the left and right.
2
The model represents the quotient of two decimals.
PLEASE LOOK AT PIC TO DETERMINE
Which expression does this model represent?
A. 0.875 divided by 3.5
B. 3.5 divided by 0.875
C. 4.0 divided by 0.875
D. 0.875 divided by 4.0
Answer:
The model represents the division of the larger rectangle (3.5 units wide) into 4 equal parts, and shading 1 part of it.
This means that the division is 3.5 divided into 4 parts, with each part being equal to the smaller rectangle with a width of 0.875.
Therefore, the expression represented by the model is:
B. 3.5 divided by 0.875
Step-by-step explanation:
PLS HELPPP THYANK UUU PLS The data below shows the colors preferred by a group of people. We want to plot this on a pie chart. What will be the central angles of each of these categories?
Red=
blue=
green=
purple=
The Central Angle of each color is:
Red= 100°
Blue= 150°
Green= 50°
Purple = 60°
what is Central Angle?According to the definition of a central angle in geometry, it is the angle that the arc of a circle occupies in its centre. The angle's arms are formed by the two radii. Knowing the ratio of the curve to the circle using the central angle is helpful.
To draw a pie chart we have to find the central angle.
For Red
= 20/72 x 360
= 100 degree
For Blue
= 30/72 x 360
= 150
For Green
= 10/72 x 360
= 50
For Purple
= 12/ 72 x 360
= 60
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If 16 female are randomly selected , find the probability they have a pulse rate with mean less than 78 beats per min
The value of probability that they have pulse rates with mean less than 78 beats per min would be; 0.5948
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Given that If 16 female are randomly selected the Mean is 75 beats per min And, Standard deviation is, 12.5
Hence, We get;
z = (78 - 75) / 12.5
z = 3/12.5
z = 0.24
Hence, The probability is, 0.5948
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Please can someone go in detail with the answer, I will give the brainliest!
Two Italians and three Englishmen are looking for accommodation in the hotel as loyal guests. In the hotel for accommodation their loyal guests are guarded by 8 rooms, of which 3 rooms have walls painted blue, in 3 rooms in green color, and in the remaining 2 rooms in yellow color. Italians want to be either in blue or in the yellow room, and the English in either the green or the yellow room. In how many ways did the two Italians and three Englishmen can be assigned rooms so that each of them is alone in one room?
Answer:
To solve this problem, we can use the principle of inclusion-exclusion. We first count the total number of ways to assign rooms to the Italians and Englishmen without any restrictions. Then, we subtract the number of ways that violate the Italian's restriction, and the number of ways that violate the Englishmen's restriction. Finally, we add back the number of ways that violate both restrictions.
Step 1: Total number of ways to assign rooms
There are 8 rooms, so there are 8 choices for the first person, 7 choices for the second person, and so on. Therefore, there are 8 x 7 x 6 x 5 x 4 = 6,720 total ways to assign rooms to the Italians and Englishmen without any restrictions.
Step 2: Number of ways that violate the Italian's restriction
There are 3 blue rooms and 2 yellow rooms, so there are 3 x 2 = 6 ways to assign rooms to the Italians that violate their restriction. For each of these ways, there are 6 x 5 x 4 = 120 ways to assign rooms to the Englishmen. Therefore, there are 6 x 120 = 720 ways that violate the Italian's restriction.
Step 3: Number of ways that violate the Englishmen's restriction
There are 3 green rooms and 2 yellow rooms, so there are 3 x 2 = 6 ways to assign rooms to the Englishmen that violate their restriction. For each of these ways, there are 5 x 4 x 3 x 2 = 120 ways to assign rooms to the Italians. Therefore, there are 6 x 120 = 720 ways that violate the Englishmen's restriction.
Step 4: Number of ways that violate both restrictions
If the Italians are in blue rooms and the Englishmen are in yellow rooms, there is only 1 choice for this assignment. If the Italians are in yellow rooms and the Englishmen are in green rooms, there are also only 1 choice for this assignment. Therefore, there are 2 ways that violate both restrictions.
Step 5: Calculate the final answer
Using the principle of inclusion-exclusion, we can calculate the number of ways that satisfy all the restrictions as follows:
Total number of ways - Number of ways that violate the Italian's restriction - Number of ways that violate the Englishmen's restriction + Number of ways that violate both restrictions
6,720 - 720 - 720 + 2 = 5,282
Therefore, there are 5,282 ways to assign rooms to the two Italians and three Englishmen so that each of them is alone in one room, while satisfying their loyal guest preferences.
Step-by-step explanation:
the angle between the length of a rectangle and it's diagonal is 30⁰.if the length of the rectangle is 6cm.find the length of the diagonal.
Answer:
I can not help you do you have picture that i can use so i can give u the correct answer
Step-by-step explanation:
Answer:
ik....
Step-by-step explanation:
Tan (30,000)
5. One of the steepest streets in the United States is the 500 block of Highland Drive on Queen
Ann Hill in Seattle. If you measure horizontally 70 centimeters from a point on the road
surface, you must go down 14.2 centimeters to get back to the surface. What angle does
Highland Drive make with the horizontal?
A
14.2
=(80)
70
O
tant = 70
14.2
0=78.5%
112.455 =X
(cv) mot
P. Joj
Therefore , the solution of the given problem of trigonometry comes out to be forms an angle with the horizontal of about 11.71 degrees.
A Trigonometry is what?A relationships between cubic splines and triangle maths astrophysics is believed to have been created when the various fields came together. Many metric problems can be solved or the results of their calculation can indeed be determined with the help of precise mathematical methods. Trigonometry is the study of six basic trigonometric calculations. .
Here,
The tangent function, which is referred to as the ratio of the opposite side (the height drop) to the adjacent side, can be used to determine the angle that Highland Drive forms with the horizontal (the horizontal distance).
The angle's tangent in this situation can be written as:
=> tan(θ) = adjacent/opposite = 14.2/70
We can use a computer to determine that the angle's tangent is roughly 0.2029.
By taking the inverse tangent (also referred to as the arctangent) of this number, we can determine the angle itself:
=> 11.71 degrees are equal to theta = arctan(0.2029)
Highland Road thus forms an angle with the horizontal of about 11.71 degrees.
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Because I’m pretty much fed up with college level algebra
Please explain to me (literally) how I might use it in everyday life
If you give me a good explanation, I might reconsider giving any CONSIDERATION to the subject
Answer:
A business person will use algebra to determine whether a piece of equipment does not lose its worth if it is in stock.
Step-by-step explanation:
In an examination, Julius scored 5 more marks than John who in turn scored 4 marks less than Grace. If the total mark scored by the three students was 150. Find the mark of each student.
Answer:
Julius: 52
John: 47
Grace: 51
Step-by-step explanation:
Let marks scored by Julius, John and Grace be x, y and z respectively
From the information given,
"Julius scored 5 more marks " → x = y + 5 (1)
"who in turn scored 4 marks less than Grace" → y = z - 4 (2)
Substitute y = z - 4 in equation x = y + 5
→ x = (z-4) + 5
→ x = z - 4 + 5
→ x = z + 1
"The total mark scored by the three students was 150":
x + y + z = 150 (3)
Substitute x = z - 1 and y = z - 4 in equation (3):
← (z + 1) + (z - 4) + z = 150
→ z -+ 1 + z - 4 + z = 150
→ z + z + z + 1 - 4 = 150
→ 3z - 3 = 150
→ 3z = 150 + 3 = 153
→ z = 153/3 = 51
So Grace's mark was 51
John's mark y = z - 4 = 51 - 4 = 47
Julius' mark x = y + 5 = 47 + 5 = 52
Substitute for y from (2) in (4):
2(z - 4) + z = 145
2z - 8 = 145
x
2
+7x=
�
x
Solving Quadratics by Factoring
The solutions to the quadratic equation [tex]X^2 + 7X = 0[/tex] are X = 0 and X = -7.
What is quadratic equation?
A quadratic equation is a polynomial equation of the second degree, which means it contains one or more terms that are raised to the power of two. The standard form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
where a, b, and c are constants, and x is the variable. The value of x that satisfies the equation is called the root or solution of the quadratic equation.
Quadratic equations can have one, two, or no real solutions, depending on the value of the discriminant [tex]b^2 - 4ac[/tex]. If the discriminant is positive, the equation has two real solutions; if it is zero, the equation has one real solution; and if it is negative, the equation has no real solutions but two complex solutions.
To solve the quadratic equation [tex]X^2 + 7X = 0[/tex] by factoring, we first write it in the standard form:
[tex]X^2 + 7X = 0[/tex]
Next, we factor out the common factor X:
X(X + 7) = 0
Now, we can apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have:
X = 0 or X + 7 = 0
Solving for X in each equation, we get:
X = 0 or X = -7
Therefore, the solutions to the quadratic equation X^2 + 7X = 0 are X = 0 and X = -7.
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Question:
[tex]X^2 + 7X = 0[/tex]
Solving Quadratics by Factoring
If 10% of a number is 12 and 35%% of the same number is 42, find 25%% of that number.
42 is not the answer
Answer:25% of the number is 30
Step-by-step explanation:
Let's call the number we're looking for "x". We can use the information given in the problem to set up two equations:
10% of x is 12:
0.1x = 12
35% of x is 42:
0.35x = 42
Now we can solve for x:
0.1x = 12
x = 120
0.35x = 42
x = 120
We get the same value for x from both equations, which confirms that our solution is correct. Now that we know x = 120, we can find 25% of that number:
25% of 120 = 0.25 x 120 = 30
Therefore, 25% of the number is 30.
work out the size of angle x
The measurement of angle x in the given figure is 11°
What is an angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.
Given is a figure, we need to find the measure of angle x,
The labeled figure is attached,
We have,
∠ 1 = 85° [vertically opposite angles]
∠ 3 = 96° [corresponding angles between parallel lines]
∠ 2 + ∠ 3 = 180° [linear pair angles]
∠ 2 = 180°-96°
∠ 2 = 84°
Now,
∠ 1 + ∠ 2 + x = 180° [angles sum property of a triangle]
85° + 84° + x = 180°
x = 180°-169°
x = 11°
Hence, the measurement of angle x in the given figure is 11°
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Find the measure of the three missing angles in the parallelogram below.
Answer:
[tex]x[/tex] = 67 , [tex]y[/tex] = 113 , [tex]z[/tex] = 67
Step-by-step explanation:
What we need to know:
A parallelogram has two pairs of equal angles
Opposite angles are equal
Angles in a quadrilateral add up to 360
1) Find out as many angles we can
We know that the opposite angles are equal, this means that y would be equal to 113
y = 1132) Find the remaining angles
We already know that two of our angles are 113, this means that our total is 226 for now. We have two angles left which are equal so to find them we have to subtract 226 by 360 then divide by 2
360 - 226 = 134134 ÷ 2 = 67[tex]x[/tex] = 67[tex]z[/tex] = 67Hope this helps, have a lovely day! :)
Answer:
x = 67
y = 113
z = 67
Step-by-step explanation:
The properties of a parallelogram are:
The opposite sides are equal and parallel.Opposite angles are congruent.Adjacent angles are supplementary (sum to 180°).Two angles are said to be adjacent when they share a common vertex.
Therefore, both angle x and angle z are adjacent to the angle that measures 113°.
Since adjacent angles in a parallelogram are supplementary:
⇒ x° + 113° = 180°
⇒ x° = 67°
⇒ x = 67
Similarly:
⇒ z° + 113° = 180°
⇒ z° = 67°
⇒ z = 67
As opposite angles in a parallelogram are equal:
⇒ y° = 113°
⇒ y = 113
Find the value of the sphare
Answer:
[tex]2304[/tex][tex]\pi[/tex]
Step-by-step explanation:
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
V = [tex]\frac{4}{3} *\pi * 12*12*12[/tex]
Use 3 to divide one of the 12 which will be equal to 4
V = [tex]4 *\pi *4*12*12[/tex]
V = [tex]2304\pi[/tex]
Can someone help me with this math problem, ASAP?
Answer: [tex]\sqrt{\text{x}-7}-10[/tex]
Work Shown:
[tex]f(\text{x}) = \sqrt{\text{x}-6}-10\\\\f(\text{x}-1) = \sqrt{\text{x}-1-6}-10\\\\f(\text{x}-1) = \sqrt{\text{x}-7}-10[/tex]
Explanation:
I replaced each copy of x with x-1. Then I combined like terms. Doing this will shift the graph 1 unit to the right.
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why?
Pre-Employment Drug Screening Results
Positive test result
Negative test result
Drug Use Is Indicated
Drug Use Is Not Indicated
Subject Uses Drugs
46
8
Subject Is Not a Drug User
1
30
Question content area bottom
Part 1
The probability of a false positive test result is enter your response here.
(Round to three decimal places as needed.)
The probability of a false positive test result is approximately 0.1702 or 17.02%.
The person who will suffer from a false positive are the subjects who aren't drug users.
How to calculate the probabilityFrom the given data, we can see that there are a total of 46 + 1 = 47 positive test results, out of which 8 are false positives (i.e., the subject is not a drug user).
The probability of a false positive test result is:
Probability of false positive = Number of false positives / Total number of positive test results.
Probability of false positive = 8 / 47
Probability of false positive = 0.1702
Therefore, the probability of a false positive test result is approximately 0.1702 or 17.02%.
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Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 320.38 rupees. If the current exchange rate is 1 dollar:73.6500 rupees, how much do the spices cost in U.S. dollars?
$0.04
$4.35
$22.99
$23,595.99
Answer: $4.35
Step-by-step explanation:
320.38 rupees / 73.6500 rupees = $4.35