Answers
Answer:
D.
Step-by-step explanation:
Related Questions
1) A certain disease has an incidence rate of 0.5%. If the false negative rate is 6% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease. 2) Karla has 10 shirts, 6 shorts, and 3 pairs of sandals. How many different combinations of outfits could she make? 3) You get to choose your new 4 digit pin number for your debit card. If you are allowed to repeat the numbers, how many different pin numbers from which do you have to choose? 4) If 380 people ran in the Savannah Bridge Run, how many ways can first, second, and third place be awarded? 5) There are 210 employees that work the assembly line at the local automotive plant. The boss has to choose a group 5 to go to training. How many different ways can he choose the group?
Answers
Answer:
1) The probability that a person who tests positive actually has the disease is 0.1056 or 10.56%
2) 180 combinations
3) 5040 pin numbers can be chosen
4) 54439560 ways
5) 389283935040 ways
Step-by-step explanation:
1) From Bayes' theorem, we have;
[tex]P(A\mid B) = \dfrac{P(A)P(B\mid A)}{P(A)P(B\mid A)+P\left (\overline{A} \right )P\left (B\mid \overline{A} \right )}[/tex]
Where:
[tex]P(A\mid B)[/tex] = Percentage of the population that tests positive for the disease that actually have the disease
P(A) = Incidence rate = 0.5% = 0.005
[tex]P(B\mid A)[/tex] = Percentage of the population that have the disease and will tests positive = 1 - 0.06 = 0.94
[tex]P\left (\overline{A} \right )[/tex] = P(no disease) = 1 - 0.005 = 0.995
[tex]P\left (B\mid \overline{A} \right )}[/tex] = P(positive [tex]\mid[/tex] no disease) = False positive = 0.04
From which we have;
[tex]P(A\mid B) = \dfrac{0.005 \times 0.94}{0.005 \times 0.94 +0.995 \times0.04} = 0.1056[/tex]
Therefore, the probability that a person who tests positive actually has the disease = 0.1056 or 10.56%
2) The parameters given are;
The number of shirts that Karla has = 10 shirts
The number of shorts that Karla has = 6 shorts
The number of pairs of sandals that Karla has = 3 pairs
Therefore;
The number of ways Karla can choose her shirts = 10 ways
The number of ways Karla can choose her shorts = 6 ways
The number of ways Karla can choose her pair of sandals = 3 ways
The total combination of outfits Karla can make = 10 × 6 × 3 = 180 combinations
3) We have;
The number of permutations of 10 numbers taking 4 at a time is given as follows;
n!/(n-r)! = 10!/(10-4)! = 10!/6! = 5040 pin numbers can be chosen
4) The number of ways the first second and the third can be awarded is 380×379×378 = 54439560 ways
5) The number of ways is 210×209×208×207×206 = 389283935040 ways.
Brainliest for whoever gets this right !!!
Answers
Answer :
[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]
I hope it helps :)
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19
Use the ranges listed in the table below:
Range Number of Values
1 - 5
6 - 10
11 - 15
16 - 20
21 - 25
What value should be placed in the second column for the range 6-10?
a. 1
b. 5
c. 2
d. 3
Answers
Answer:
A. 1
Step-by-step explain
You put the number in order and it will be only the 6 from the 6-10.
The value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.
What is the frequency?The frequency is the number of times an event happens. Therefore, frequency is the number of repetition of a digit or an event.
For the given data set 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19. The frequency table can be made as,
1 - 5 ⇒ 3
6 - 10 ⇒ 1
11 - 15 ⇒ 4
16 - 20 ⇒ 5
21 - 25 ⇒ 2
Hence, the value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.
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A professional singer charges $1000 an hour. Her rate increases by 50% after midnight. If she performs one night from 8:30pm to 1:00am, how much will she be paid? .
Answers
Answer:
$5000
Step-by-step explanation:
Hours until midnight = 3 1/2
Hours until 1am = 1
3 1/2 x 1000 = 3500 = $3500
1 = ( 1000 x 0.50 = 500 (+1000) ) = 1500= $1500
3500+1500 = $5000
In a bag with 3 red chips, 2 yellow chips, and 1 green chip, what is the probability of getting NO yellow chips on the first 2 tries? A. 1/3 B. 2/3 C. 2/5 D. 3/5
Answers
Answer:
B.
Step-by-step explanation:
total chips = 6
chips not including yellow= 4
simplify 4/6 = 2/3
Paige’s Sub Shop charges $7 per 6-inch sub and $2 for delivery of each order. Which equation best represents the total cost of an order, y, based on x sandwiches ordered? A.y=2x+7 B. y=7x+2 C. y=76x+2 D. y=67x+2
Answers
Answer:
B. y=7x+2
Step-by-step explanation:
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answers
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Eleven plus forty-one is divided by a number. If the result is 13, what's the number?
Answers
Answer:
4
Step-by-step explanation:
Let the number be x.
(11+41)/x = 13
52/x = 13
13x = 52
x = 52/13
x = 4
The number, if Eleven plus forty-one is divided by a number, and the result is 13, is 4.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
Eleven plus forty-one is divided by a number, and the result is 13,
Assume the number is x,
Write the equation as shown below,
11 + 41 / x = 13
52 / x = 13
x = 52 / 13
x = 4
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Match the expression to the simplified form
Answers
Answer:
[tex]2^{5}[/tex]= 32
[tex]5^{-2}[/tex]= 1/25
[tex]5^{3}[/tex]=125
[tex]2^{-4}[/tex]=1/16
i hope this helps, the reason there are fraction is because of the negative exponent. To solve those you need to find the normal answer(with no negative exponent) and put it over 1. Doing that switches it to a positive response(needed).
Answer: The answers are in the steps.
Step-by-step explanation:
[tex]2^{5}[/tex] = 2*2* 2 *2 *2 = 32
[tex]5^{-2}[/tex] = [tex]\frac{1}{5*5}[/tex]= [tex]\frac{1}{25}[/tex]
[tex]5^{3}[/tex] = 5 * 5 *5 = 125
[tex]2^{-4}[/tex] = [tex]\frac{1}{2*2*2*2} = \frac{1}{16}[/tex]
2^5 → 32
5^-2 → 1/25
5^3 → 125
2^-4 → 1/16
Someone please help I'll mark you Brainliest answer
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
So we can use the formula Y2 - Y1 / X2 - X1
So 7- 3 = 4 and 4 - 2 is 2 and 4/2 is 2 so the slope is 2.
If we keep using the slope we can tell that the y intercept is 1.
So we can use the formula Y2-Y1 / X2-X1
So 7-3=4 and 4-2 is two
And 4/2 is 2 so the slope is two
If we keep using the slope we can tell that the y intercept is 1
For what values (cases) of the variables the expression does not exist: a/2x−4 (That equation is a fraction)
Answers
Answer:
When x=2 the expression is undefined
Step-by-step explanation:
When the denominator is zero, the expression is undefined
2x-4 =0
2x=4
x=4/2
x=2
When x=2 the expression is undefined
Answer the following: What is the area of the circle? (Will give brainliest)
Answers
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
Pie•5^2
Pie•25
A = 78.54
Identify the equation of the translated graph in general form x^2+y^2=7 for T(-8,4) A. x^2 + y^2 + 16x - 8y + 73 = 0 B. x^2 + y^2 + 8x - 4y - 73 = 0 C. x^2 + y^2 + 16x + 8y + 73 = 0 D. x^2 + y^2 + 8x + 4y + 73 = 0
Answers
Answer:
The correct option is A
Step-by-step explanation:
The standard form of equation of circle is written as:
(x - a)² + (y - b)² = r²
Where centers is given as (a,b)
The equation of the circle given in the question is:
x² + y² = 7
If the circle is translated T(-8,4), it means that the centre of translated circle lies at (-8,4).
So standard form of equation of circle is:
(x + 8)² + (y - 4)² = 7
Simplifying the equation:
(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7
x² + 64 + 16x + y² + 16 - 8y = 7
x² + y² + 16x - 8y + 80 = 7
x² + y² + 16x - 8y + 80 - 7 = 0
x² + y² + 16x - 8y + 73 = 0
which is the general form of the equation of circle
48. A map is drawn to a scale of 1cm to represent 50km. if the actual distance between two villages is 480km, what is
the distance on the map?
A. 4.8cm B. 5.0cm C. 9.6cm
D. 48.0cm E. 2400.0cm
Answers
So do 480/50 = 9.6cm (our scale factor)
then 1x9.6 = 9.6cm
So the answer is C which is 9.6cm
Answer:
C. 9.6 cm
Step-by-step explanation:
This is all about unit rate. In this scenario the unit rate is 50/1 and for 480 km that fraction would be 480/x so we could either do cross multiplication or divide across the numerator and denominators. Let's divide. 480/50 is equal to 9.6. Seeing as that is what helped us get from numerator a to numerator b we would then multiply that in our denominators. So, 1*9.6 is equal to 9.6 so the amount of cm for 480 km is 9.6 cm.
0.8 divided by 0.2 equals?
Answers
Answer:
4
Step-by-step explanation:
28. Find the area of the triangle ABD in the diagram below.
Answers
Answer:
A = 60 cm²
Step-by-step explanation:
Finding BC using Pythagorean Theorem:
=> [tex]c^2= a^2+b^2[/tex]
=> [tex]13^2 = a^2+5^2[/tex]
=> 169-25 = [tex]a^2[/tex]
=> [tex]a^2[/tex] = 144
Taking sqrt on both sides
=> BC = 12
So,
BC = CD = 12
=> BD = BC+CD
=> BD = 12+12
=> BD = 24
Now, The area:
=> Area of a Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where BASE = 24, HEIGHT = 5
=> A = 1/2(5)(24)
=> A = 1/2(120)
=> A = 60 cm²
Step-by-step explanation IN triangle abc,
AC² = AB² + BC² (Phythogoras theorem)
13² = 5² + BC²
169 - 25 = BC²
144 = BC²
BC² = 144
BC = 12 (APPLAYING SQAURE ROOT)
Then in triangle ADC,
AD² = AC² + CD²
AD² = 13² + 12² (CD = BD - BC)
AD² = 169 + 144
AD = 17cm (aprox.)
Therefore area of triangle abd = 1/2× length × side = 1/2× 5 ×24 = 5 × 12 = 60cm
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answers
Answer:
-15,20
Step-by-step explanation:
I do not know how to explain how I did it lol :) , but I am very sure that it is correct.
I hope this help you :)
Answer:
-15, 20
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
5, -5, 10, -10, 15,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
5 - first term
-5 - second term
5 ? ? = -5
5 × -1 = -5
So, this means the sequence multiplied negative one by the first term to get the second term. Therefore, the pattern should be 'multiply negative one' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
5, -5, 10, -10, 15,...
5 × -1 = -5 [correct; provides the next term]
-5 × -1 = 5 [incorrect; does not provide the next term]
10 × -1 = -10 [correct; provides the next term]
-10 × -1 = 10 [incorrect; does not provide the next term]
According to the calculations shown above, the pattern we have identified ('multiply negative one') only works on every other term. Therefore, we must figure out the rest of the pattern for the remaining terms. To do that, identify what basic operation and number must be applied.
-5 - second term
10 - third term
-5 ? ? = 10
-5 × -2 = 10
So, this means the sequence multiplies negative two every other term. Therefore, the pattern should be:
multiply by negative one, multiply by negative two
However, to be sure the pattern we have identified is correct, apply it to the sequence.
5 × -1 = -5 [correct; provides the next term]
-5 × -2 = 10 [correct; provides the next term]
10 × -1 = -10 [correct; provides the next term]
-10 × -2 = 15 [correct; provides the next term]
Now that we have identified the correct pattern, let's apply it to the last term to find the next two terms.
5, -5, 10, -10, 15....
15 × -1 = -15
-15 × -2 = 20
Therefore, the next two terms in the sequence is -15, 20.
Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answers
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12
Thomas got 12
30=3x+2x
30=5x
x=6
Alex: 3x=18
Thomas: 2x=12
There are 5 positions open. 20 candidates applied. 14 are men, 6 are women. The
company decided to give 3 positions to men, 2 to women. How many outcomes are
possible?
Answers
Answer:
2307 ways
Step-by-step explanation:
Given
Candidates: 5
Men (Applicants): 14
Women (Applicants): 6
Job Positions: 5
Man = 3
Women = 2
Required:
Number of possible outcomes
This question represent selection; i.e. selecting candidates for job positions;
This question can be solved by using Permutations/Selection formula
Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women
Let M represent Men and W represent Woman
Number of ways = M + W
Calculating M
[tex]M = nPr[/tex]
Substitute nPr with its formular
[tex]M = \frac{n!}{(n-r)!}[/tex]
Where n = 14 men and r = 3 applied
[tex]M = \frac{14!}{(14 - 3)!}[/tex]
[tex]M = \frac{14!}{11!}[/tex]
[tex]M = \frac{14*13*12*11!}{11!}[/tex]
[tex]M = 14*13*12[/tex]
[tex]M = 2184[/tex]
Calculating W
[tex]W = nPr[/tex]
Substitute nPr with its formula
[tex]W = \frac{n!}{(n-r)!}[/tex]
Where n = 6 men and r = 2 applied
[tex]W = \frac{6!}{(6-2)!}[/tex]
[tex]W = \frac{6!}{2!}[/tex]
[tex]W = \frac{6*5*4*3!}{2!}[/tex]
[tex]W = 6*5*4[/tex]
[tex]W = 120[/tex]
Recall that Number of ways = M + W
Number of Ways = 2184 + 123
Number of Ways = 2307
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answers
Answer:
I'm not sure, but I think it is (0, -6).
which of the following equations describe the line shown below? check all that apply!
Answers
Answer:
B and E are the correct answers.
Step-by-step explanation:
By using the slope formula of y₂₋y₁ / x₂₋x₁ you can find out that the slope is ₋7/4.
Next pick a point to put into point-slope form.
Point-slope form is y₋y₁ = m(x₋x₁) where y₁ and x₁ are a point on the graph and m is the slope.
Substitute both points into the formula (separately) to get B and E as your answers.
Hope this helps!
If one pair of opposite sides of a quadrilateral is both congruent and __________, then the quadrilateral is a parallelogram. ANSWERS: A) increasing B) perpendicular C) decreasing D) parallel
Answers
Answer:
I think it’s parallel
Step-by-step explanation:
Correct me if this is wrong
Answer:
plz mark me brainliest
Step-by-step explanation:
parallel is the answer confirmed
proof: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
hope it halps
Imagine math help, what's the answer to the question?
Answers
Answer:
The Answer would be the Top Right
Step-by-step explanation:
One Pen equals 2x a Pencil
1 Pen + 1 Pencil = $2.10
1 pen would equal 2 pencils so you have 3 pencils which equal 2.10
Divide 2.10 by 3 to get .70
its distributed equally.
p/3 = 2.10
Answer:
Top Right
Step-by-step explanation:
Hope this helps :)
8. Graph the function
Answers
Answer:
Last option is the correct choice.
Step-by-step explanation:
See the attachment below.
Best Regards!
Twenty-five patients were seen in the emergency room yesterday. The number of
clinical laboratory and X-ray procedures performed on each patient were recorded
as: 5, 3, 7, 4, 6, 7, 2, 1, 4, 6, 3, 3, 2, 2, 5, 7, 4, 5, 3, 6, 2, 1, 4, 3,5. Calculate:
Mean (arithmetic) number of lab and X-ray procedures per patient.
Answers
Answer:
the mean (average) is 4
Step-by-step explanation:
add all the numbers together (100) and then divide by the number of patients (25).
Can someone help me please.
Answers
2 Points
Which rule should be applied to reflect f(x) = x2 over the yaxis?
A. Switch the variables x and y in the equation
B. Multiply f(x) by -1.
C. Substitute -x for x and simplify f(-x)
O D. Multiply f(y) by -1.
SUBMIT
Answers
Answer:
Option C. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
The rule for reflection over y axis is:
Substitute -x for x and simplify f(-x)
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
While reflecting a point with coordinates as (x, y), over y axis, the rule followed is
(x, y) = (-x, y)
The given function is,
f(x) = x²
So, reflecting it over y axis, we have to replace x with -x
(x, f(x)) = (-x , f(x))
So, the new reflected function is
f(-x) = -x²
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45% of a 300ml drink is concentrated pineapple juice. The rest is water. Find the volune of water that must be added so that 40% of the drink is concentrated pineapple juice.
Answers
Answer:
37.5 mL
Step-by-step explanation:
If x is the volume of water, then:
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
45% of a 300ml drink is concentrated pineapple juice.
If x is the volume of water, then we get;
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
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PLEASE ANSWER ASAP
10 POINTS!!!!!!!
Answers
Answer:
Range { -8,-3,5,7}
Step-by-step explanation:
The range of the function is the output values
Range { -8,-3,5,7}
Answer:
D
Step-by-step explanation:
8, -3, 5, 7
List of all possible outputs
Find the measure of each marked angle.
X degree= ? Degree
(X+50) Degree =? Degree
(180-3x) Degree =? Degree
(Simplify your answers. Type an integer or a fraction.)
Answers
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.