A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

Answers

Answer 1

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]


Related Questions

solve |x + 5| = -7 ....

Answers

Answer:

2,-12

Step-by-step explanation:

The given equation is ,

[tex]\implies |x + 5 | = -7 [/tex]

We know that modulus only gives positive value , Therefore on squaring both sides we have ,

[tex]\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} [/tex]

What is the volume of the figure below?

Answers

Answer:

[tex]896 \pi~m^3[/tex]

Step-by-step explanation:

[tex] V_{cylinder} = \pi r^2 h [/tex]

[tex] V_{cylinder} = \pi (8~m)^2 \times (14~m) [/tex]

[tex]V_{cylinder} = 896 \pi~m^3[/tex]

People pack seeds into foils and store them in a seed vault. Each foil contains 500 seeds. If the vault has 145,000 seeds altogether, how many foils are in the vault?

Answers

Step-by-step explanation:

dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd

Answer:

290 foils

Step-by-step explanation:

145,000÷500=290

What is 6.273 rounded to the nearest thousandths?

Answers

Answer:

6.270

Step-by-step explanation:

3 is below 5 so you just turn it into a 0. If it was 5 or above you would just add a number to the 7.

hi i need help with this

Evaluate 4(3-1)^2

Answers

Hey there!

4(3 - 1)^2

3 - 1 = 2

= 4(2^2)

2^2

= 2 * 2

= 4

4(4)

= 16

Answer: 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4(3-1)^2= 16

Step-by-step explanation:

4(3-1)^2

=4×(2)^2

=4×4

=16 ........

HOPE THIS HELPS YOU....

Dose 4(x+1)= 3x+4 have a solution

Answers

Answer:

x = 0

Step-by-step explanation:

First, multiply 4 by x+1

4x + 4 = 3x + 4

Subtract 3x on both sides

x + 4 = 4

Subtract 4 from both sides

x =

this is x = 0, since x = nothing.

Answer:

x=0

Step-by-step explanation:

4(x+1)= 3x+4

Distribute

4x+4 = 3x+4

Subtract 3x from each side

4x-3x+4 =3x-3x+4

x+4 = 4

Subtract 4 from each side

x+4-4 = 4-4

x=0

Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy-2 = 3(x + 2)
Oy - 3 = 2(x+)
Oy+ 1 = 3(x - 2)
Oy+ < = 2(x-3)
Help?

Answers

Y+1=3(x-2)

Aslop is 3
And it passes through (2,-1)

The equation of the line is y + 1 = 3(x - 2).

The correct option is (3).

What is an equation?

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

The line passes through the point (2, -1)

slope of the given line is 3

By using the slope intercept form of line:

y = mx + c

where m is the slope

c is the y intercept

The line passes through the point (2, -1) so substituting the point in the equation also m = 3

y = 3x + c

-1 = 3(2) + c

c = -7

The equation of the line now can be written as:

y = 3x - 7

y + 1 = 3x - 7 + 1

y + 1 = 3(x - 2)

Hence, the equation of the line is y + 1 = 3(x - 2).

To learn more about equation, click:

brainly.com/question/10413253

#SPJ5

The value of is between 4.7 and 4.8. Which of the following is a more precise approximation of ?
A.
between 4.81 and 4.82
B.
between 4.77 and 4.78
C.
between 4.78 and 4.79
D.
between 4.79 and 4.8
sorry ignore the selected one i didnt mean to

Answers

Answer: D. between 4.79 and 4.8

Step-by-step explanation:

The square root of 23 (√23) is 4.79583152331. We can obviously eliminate A and B. C and D is left. C is wrong because if we approximate the square root of 23, which is 4.79583152331, we get 4.79. 4.79 > 4.78, so it can't be C. Hope this helps :)

i'm on the same test-

What is the solution

Answers

Answer:

x = -72

Step-by-step explanation:

-72 + 8 = -64

The third square root of -64 is -4

ABCD is a quadrilateral.
a) Calculate the value of x.

b) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? A You must justify your answer without using a scale drawing.​

Answers

Answer:

A) 45=x

B) Yes, since both A and B are 90°

6x+90=360

6x=270

x=45

No lines are not parallel

The distance traveled (in meters) by an insect is modeled by the equation d=0.3t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 26.3 minutes. A. 0.789 meters B. 87.67 meters C. 26 meters D. 7.89 meters

Answers

Answer:

D. 7.89 meters

Step-by-step explanation:

Given,

d = 0.3t

Here,

t = 26.3

Therefore,

d = 0.3*26.3

= 7.89m

find the angles of the triangle if they are proportainal to 3, 4, 5. The angles are?

Answers

Answer:

Because it is a right triangle one angle is obviously 90°. The other two are approximately 36.87° and 53.13°.

hope it helps you

have a good day

plz mark me as brainliest

solve for
 (6x + 9)/3 =​

Answers

Hello!

(6x + 9)/3 =

= 3(2x + 3)/3 =

= 2x + 3

Good luck! :)

The numerical coefficient of -2pqr

Answers

Answer:  -2

Explanation: The coefficient is the number to the left of the variable.

Another example would be that 10xy has the coefficient 10.

Something like x^2 has coefficient 1 because x^2 = 1x^2.

WILL MARK BRAINLIEST

Create diagrams to represent the possible cases for common tangents between two circles. Please give justification for each diagram.

1. No common tangents

2. One common tangent

3. Two common tangents

4. Three common tangents

5. Four common tangents

Answers

Refer to the diagram belowDraw one smaller circle inside another larger circle. Make sure the circle's edges do not touch in any way. Based on this diagram, you can see that any tangent of the smaller circle cannot possibly intersect the larger circle at exactly one location (hence that inner circle tangent cannot be a tangent to the larger circle). So that's why there are no common tangents in this situation.Start with the drawing made in problem 1. Move the smaller circle so that it's now touching the larger circle at exactly one point. Make sure the smaller circle is completely inside the larger one. They both share a common point of tangency and therefore share a common single tangent line. Start with the drawing made for problem 2. Move the smaller circle so that it's partially outside the larger circle. This will allow for two different common tangents to form. Start with the drawing made for problem 3. Move the smaller circle so that it's completely outside the larger circle, but have the circles touch at exactly one point. This will allow for an internal common tangent plus two extra external common tangents. Pull the two circles completely apart. Make sure they don't touch at all. This will allow us to have four different common tangents. Two of those tangents are internal, while the others are external. An internal tangent cuts through the line that directly connects the centers of the circles.

Refer to the diagram below for examples of what I mean.

PLEASE HURRY

The origin is on the x-axis but not on the yaxis.
O A. True
O B. False

Answers

Answer:

The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

It is false, the origin is where x and y meet.

A positive integer is multiply by 5, then 6 is subtracted from the result, and then the last result is
divided by 8. (figure it out)

Answers

Answer:

3.75

Step-by-step explanation:

5 times 6  30/8

Write an inequality representing the total cost of your purchase. a. Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1.

Answers

Answer:

$4n

Step-by-step explanation:

The variable identified in question 1 isn't given ;

If the cost per unit of fruit = $4

The total cost of fruit will be :

Cost per fruit * number of fruits

If the number of fruits is denoted by the variable, n

The the total cost of fruit will be :

Cost per fruit, $4 * number of fruits, n

Total cost = $4 * n = $4n

I need equation of the linear function represented by the table below in the slope intercept form

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

Because the table.

Answer:

Step-by-step explanation:

y/2 = (x-1)/(2-1)

y/2 = x-1

y = 2x - 2

I need help with my math!!!!!!!

Answers

Answer:

2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]   (s is a side length)

24 = [tex]s^{2}[/tex]

[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]

[tex]\sqrt{24}[/tex] = s

[tex]\sqrt{(4)(6) }[/tex] = s

2[tex]\sqrt{6}[/tex] = s

Find the area of the parallelogram

Answers

Answer:

72

Step-by-step explanation:

We can’t start solving the area of the parallelogram till we know the height

Since the height isn’t given, we’ll need to use Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2
where a = 6 b = the height and c = 10

6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 100 - 36
b^2 = 64

Then sqrt rt 64

Sqrt rt of 64 = 8

so the height is 8

Now multiply the base x height

6 x 8 = 48

Now divided by 2

48 divided by 2 = 24
••••••••••••••••••••••••••••••••
New base = 12 - 6
New base = 6

Area = 1/2 bh
Area = 1/2 (6)(8)
Area = 1/2 48
Area = 24

And then to the last shape will be another 24 so basically we had the left triangle the right triangle and the middle one

24 + 24 + 24 = 72

The cost of John’s bike(p) cannot exceed $5,000. Write this sentence in the form of a set notation.

Answers

Answer:

[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]

Step-by-step explanation:

The expression for the cost of John's bike (p) using set notation can written as follows;

We note that the cost of the bike is a member of the positive rational number  and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;

[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]

Prove algebraically that n^2-2-(n-2)^2 is always even

Answers

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]

Step-by-step explanation:

What is the effect on the graph f(x) = 1/x when it is transformed to g(x) = 1/x + 15?

Answers

Answer:

B

Step-by-step explanation:

It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.

What is the inverse of the function f(x)
-x + 2?
q
O h(x) = 18x - 2
h(x) = 9x - 18
O h(x) = 9x + 18
® h(x) - 18x + 2

Answers

Answer:

[tex]h(x)= 9x - 18[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Required

The inverse

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Replace f(x) with y

[tex]y = \frac{1}{9}x + 2[/tex]

Swap x and y

[tex]x = \frac{1}{9}y + 2[/tex]

Subtract 2

[tex]x - 2= \frac{1}{9}y[/tex]

Multiply 9

[tex]9x - 18 = y[/tex]

Rewrite as:

[tex]y = 9x - 18[/tex]

So:

[tex]h(x)= 9x - 18[/tex]

I have another question I'm struggling with. How do I solve to find the missing angle?

Answers

Answer:

[tex]23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} ) [/tex]

can someone help me w/ this question plz?

Answers

Answer:

16 birds

8 mammals if you need to know.

Step-by-step explanation:

We can set this system of equations up by plugging the 2m from the second equation into where it says r in the first equation. The reason why we do this is because

The 2m is equal to r, so we can replace the r in the first equation with 2m, since they are equal.

Divide both

We can confirm this because

uh

(I like the enter key lol.)

It's the return key on some keyboards in other countries.

Oh yeah.

We can confirm the values.

If there are 16 birds, there is probably going to be a total of 32 legs.

With 8 mammals, it is something like 8 x 4, which is 32

32 + 32 = 64, which is the total.

what is the x-intercept of the line shown below enter your answer as a coordinate pair

Answers

Answer: (-2, 0)

Step-by-step explanation: The x-intercept is the point where a line crosses or intersects the x-axis. In this case, the point is intersecting the x-axis 2 units to the left of the origin or at the point (-2, 0).

Express the polynomial −g + 3g + 2g2 in standard form and then classify it.

cubic binomial

quadratic binomial

cubic trinomial

quadratic trinomial

Answers

Answer:

quadratic binomial

[tex]{ \boxed{ \bf{a {x}^{2} + bx + c }}} \\ 2 {g}^{2} + 3g - g[/tex]

Please help asap, how do I find the missing variables? (Trigonometry)

Answers

Answer:

x = 5.333 , y= 9.620764575

Step-by-step explanation:

sin(29)/x = sin(90)/11

x = 11* sin(29)/sin(90)

x = 5.333

(5.333)^2 + y^2 = 121

y^2 = 121 - (5.333)^2

y= 9.620764575

Other Questions
I do not understand this. Please help. Find the area of the figure in the image attached. Round to the nearest tenth if necessary. PLESE HELP YOU WILL GET ALOT OF POINTS Complete a dichotomous key for the 10 leaves on the common leaves sheet 15= 3-4a what is the value of a in the equation The dotplot below displays the difference in scores for 18 games between a high school soccer team and its opponent.A dotplot titled difference in Score. A number line going from negative 2 to 4 is labeled Team score minus opponent score. Negative 2, 1; negative 1, 2; 0, 2; 1, 3; 2, 6; 3, 3; 4, 1.Which of the following is the best explanation for the dots at 1?In one game, the team beat the opponent by 1 goal.In two games, the team beat the opponent by 1 goal.In one game, the team lost to the opponent by 1 goal.In two games, the team lost to the opponent by 1 goal. Can someone help me please need the answer ASAP Miriam and Devon are both upper-level managers, but have very different decision-making styles. Please name and describe in your own words four decision making processes that could be used to guide their decision making. In addition, provide and explain in your own words 10 ways in which their decision could, in general, be derailed or hindered, and explain each. Solve the equation sin(x 20) = cos(42) for x, where 0 < x < 90. A. 22 B. 28 C. 62 D. 68 An aqueous solution contains32.7% KCl (weight/weight %).How many grams of water (H20) are contained in 100 g of this solution? Jurassic park book summary Read the excerpt from "The Most Dangerous Game, by Richard Connell.His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.Which analysis best explains the effect of adding the female character in the film adaptation of the scene?She advances the plot. Having her run through the jungle moves the events of the story along.She serves a practical function. Using her bracelet to create the trap makes it more realistic to the audience.She raises the stakes. Giving the audience someone else to care about increases the suspense level.She makes the film prettier. Having a beautiful female character is mostly decorative, creating a nice visual. 3. A typical peanut butter and jelly sandwich contains 360 kcal, of which 160kcal comes from fat. Given 1 kcal = 4.2 kJ, how many J of fat would there bein one PB&J sandwich? Angle Terminology with EquationsAug 03, 8:18:32 AM?ZA and ZB are complementary angles. If m2A = (2x 10) and mB = (x - 2), then find the measure of ZA.EN OAnswer:Submit Answerattempt 1 out of 2Pls help can i please get some help on this one ASAP! PLEASE HELP 40 POINTSExpress each logarithm in terms of ln 3 and ln 5.ln 81 / 125 what does inclusive leadership mean to you and how will you model inclusively to make a positive impact in your community? Find the sum of the second multiple of 9 and the fifth multiple of 6. 5+a2+ab-9c if a=5 b=4c=0 What were Seneca's influences on Shakespeare