An archer hits a target 50% of the time. Design and use a simulation to find the experimental probability that the archer hits the target exactly four of the next five times.


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Answers

Answer 1

Given:

An archer hits a target 50% of the time.

To find:

The experimental probability that the archer hits the target exactly four of the next five times.

Solution:

It is given that an archer hits a target 50% of the time. It means the probability of hitting the target is

[tex]p=\dfrac{50}{100}[/tex]

[tex]p=0.5[/tex]

The probability of not hitting the target is

[tex]q=1-p[/tex]

[tex]q=1-0.5[/tex]

[tex]q=0.5[/tex]

Binomial distribution formula:

[tex]P(x=r)=^nC_rp^rq^{n-r}[/tex]

We need to find the probability that the archer hits the target exactly four of the next five times. So, [tex]n=5,r=4,p=0.5,q=0.5[/tex].

[tex]P(x=4)=^5C_4(0.5)^4(0.5)^{5-4}[/tex]

[tex]P(x=4)=\dfrac{5!}{4!(5-4)!}(0.5)^4(0.5)^{1}[/tex]

[tex]P(x=4)=5(0.5)^{5}[/tex]

[tex]P(x=4)=0.15625[/tex]

Therefore, the experimental probability that the archer hits the target exactly four of the next five times is 0.15625.


Related Questions

In the binary dependent variable model, a predicted value of 0.6 means that A. the most likely value the dependent variable will take on is 60 percent. B. given the values for the explanatory variables, there is a 60 percent probability that the dependent variable will equal one. C. the model makes little sense, since the dependent variable can only be 0 or 1. D. given the values for the explanatory variables, there is a 40 percent probability that the dependent variable will equal one.

Answers

Answer:

B. Given the values for the explanatory variables, there is a 60 percent probability that the dependent variable will equal one.

Step-by-step explanation:

Given

Model: binary dependent variable

Predicted value: 0.6

Required

Interpret

The possible values of a binary dependent variable are 0 or 1.

So, a predicted value means that, the chance that the dependent variable will be 1 equals to the predicted value.

Since the predicted value is 0.6 (or 60%), this means that; there is a 60% chance that the dependent variable = 1.

Hence, option (b) is true.

Please help me in it! It's very difficult, i'm in 6th and I still don't understand this. Please, help me in this!!!

Answers

Answer:

40

where the line starts (75) and ends (115)

115-75=40

thats the quick way to solve... hope this helps!

Step-by-step explanation:

Brainliest?

I suckkk at math.. Help?

Answers

Answer:

B. x=6

Step-by-step explanation:

substitute -7 into 2y to get -14. your new equation should be 4x-14=10. add 14 to both sides to get 4x=24, divide both sides by 4 to get x=6.

Answer:

B. 6

Step-by-step explanation:

y = -7

4x + 2(-7) = 10

4x + (-14) = 10

4x = 10 - (-14)

4x = 24

x = 6


[tex]8 \times \frac{3}{4} [/tex]

Answers

Answer:

6

Step by step explanation:

8 × ¾ = ²⁴⁄₄ = 6

Answer:

6

Step-by-step explanation:

You can solve this equation in multiple ways:

1) Change [tex]\frac{3}{4}[/tex] into a decimal

[tex]\frac{3}{4} = .75[/tex][tex]8[/tex] × [tex].75 = 6[/tex]

2) Change [tex]8[/tex] into a fraction, and multiply that way.

[tex]8 = \frac{8}{1}[/tex][tex]\frac{8}{1}[/tex] × [tex]\frac{3}{4} = \frac{24}{4}[/tex][tex]\frac{24}{4} = 6[/tex]

What is the one shape of cross-section we could create by slicing the cylinder perpendicular to its base

Answers

Answer:

rectangle

Step-by-step explanation:

A rectangle represents a figure with four sides having equal opposite sides and the inside angle between the two adjacent sides is ninety degree.

When any plane is made to pass through the cylinder creating a cross section which is perpendicular to its base, it results a two-dimensional cross sectional shape of a rectangle.

Which form of a linear equation is defined by y = mx +b?
O A. Parallel form
O B. Standard form
O C. Slope-intercept form
O D. Point-slope form

Answers

This is slope intercept form

The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The linear equation is defined by,

⇒ y = mx + b

Now, We know that;

The equation defined as;

⇒ y = mx + b

Where, 'm' is slope and 'b' is y - intercept.

Hence, The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

Learn more about the equation of line visit:

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Trigonometry, please answer ASAP, Convert the radian measure to degrees.
12

Answers

Um can u attach a photo of the question bc no one can see it

Answer:

687.549 deg

Step-by-step explanation:

12 rad = 687.549 deg

Take a factor out of the square root:
a) √6x^2, where x≥0
b)√9a^3
d)√50b^4
plz help 30 points will give brainliest

Answers

Answer:

Question A)

[tex]=\sqrt{6}x[/tex]

Question B)

[tex]=3a\sqrt{a}[/tex]

Question C)

[tex]=5\sqrt{2}b^2[/tex]

Step-by-step explanation:

A)

We are given:

[tex]\sqrt{6x^2}\, \text{ where } x\geq 0[/tex]

We can rewrite the expression:

[tex]=\sqrt{6}\cdot \sqrt{x^2}[/tex]

The square root and square will cancel each other out. Thus:

[tex]=\sqrt{6}x[/tex]

B)

We are given:

[tex]\sqrt{9a^3}[/tex]

Rewrite:

[tex]=\sqrt{9}\cdot \sqrt{a^3}[/tex]

Note that the square root of 9 is simply 3. We can also factor the second part:

[tex]=3\cdot \sqrt{a^2\cdot a}[/tex]

Rewriting:

[tex]=3\cdot\sqrt{a^2}\cdot\sqrt{a}[/tex]

Simplify:

[tex]=3a\sqrt{a}[/tex]

C)

We are given:

[tex]\sqrt{50b^4}[/tex]

Rewrite. Note that 50 = 25(2):

[tex]=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}[/tex]

Simplify. We can rewrite the factor as:

[tex]=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}[/tex]

The square and square root will cancel out. Thus:

[tex]=5\sqrt{2}b^2[/tex]

The center is (3,-2), and a point in the circle is (23, 19)

Answers

Answer:

Circumference is about 182.21

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 29. Plug 29 into the formula 2(pi)r to find the Circumference. The answer is 182.21

The equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

What is the equation of circle?

The equation of the circle is given by;

[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]

Where r is the radius and h and k are the centre of the circel.

The radius of the circle is;

[tex]r=\sqrt{(23-3)^2+(19-(-2))^2} \\\\r=\sqrt{(20)^2+(21)^2} \\\\r=\sqrt{400+441}\\\\r =\sqrt{841}\\\\r=29[/tex]

The equation of the circle is;

[tex]\rm (x-h)^2+(y-k)^2=r^2\\\\\rm (x-3)^2+(y-(-2))^2=29^2\\\\ (x-3)^2+(y+2)^2=29^2[/tex]

Hence, the equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

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Find the area of a circle with radius 14 mm. Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

Find the product of -3/5× .-1.5 .
[tex] - \frac{3}{5} \times - 1 .5[/tex]

Answers

Answer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Step-by-step explanation:

Carmen has 8 popsicles in her freezer: 3 grape, 2 cherry, 2 orange and 1
strawberry. If Carmen takes one popsicle out without looking, eats it, and then
takes another popsicle out without looking, what is the probability that both
popsicles will be orange?

Answers

Answer:

2/8 or 1/4

Step-by-step explanation:

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Answers

Answer:

A

I’m pretty sure it’s A

Answer:

A, sure

mark me as brainliest plz

what is the equation to 9x+3° 84°​

Answers

Answer:

the solution to this equation is x = 9°

Step-by-step explanation:

9x + 3 = 84

9x = 84 - 3

9x = 81

x = 81 / 9

x = 9°

Complete the statement. Round to the nearest hundredth if necessary.

6 lb =
oz

Answers

Answer: 96 oz

Step-by-step explanation:

16oz in each lb
16*6 = 96oz

if ur lucky u get 25 points!

Answers

Answer:

What do you mean lucky?

Answer:

Yes

Step-by-step explanation:

I need help with math!!

*PLEASE NO LINKS*

I will mark you brainiest if you don’t send a link!!

Answers

Answer:

#1 - y = 2x

#2 - x is days for sale and y is times viewed

#3 - 80

#4 - 35

Step-by-step explanation:

Question 10 of 10
What is the value of y?
10"
50
A. 30°
B. 40°
C. 50°
D. 60°

Answers

Answer:

i think ik it the aswer is c

Thermometer A shows the temperature in the morning. Thermometer B shows the temperature in the evening. What is the difference in the temperatures?

Answers

Answer:

(Thermometer B reading - Thermometer A reading)

Step-by-step explanation:

The thermometer reading aren't given in the question.

However, hypothetically.

The difference between two temperature values (morning and evening values) would be :

Temperature in the evening - morning temperature

Therefore,

If ;

Thermometer A reading = morning temperature

Thermometer B reading = evening temperature

Difference in the temperature :

(Thermometer B reading - Thermometer A reading)

A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3.14 for π and round your answer to the nearest tenth.

682.7 in^3
2143.6 in^3
85.3 in^3
267.9 in^3

Answers

If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]

What is volume ?

The volume of an object is a measure of the amount of space occupied by that object.

Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half

The new diameter is equal to

[tex]$$D=16 / 2=8 \mathrm{in}$$[/tex]

Hence radius is equal to

[tex]$$r=8 / 2=4 \mathrm{in}$$[/tex]

The volume of the reduced globe is

[tex]$V=\frac{4}{3}(\pi)(r)^{3}$[/tex]

[tex]$V=\frac{4}{3}(3.14)(4)^{3}$\\[/tex]

[tex]$V= 267.9 \text{ in}^{3}$[/tex]

If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]

To learn more about volume visit : https://brainly.com/question/1972490

Answer:

267.9 in3

Step-by-step explanation:

I took the test and got it right!

Meg used this table to track the average attendance from month to month at her theater for five months. A 5-column table with 1 row is titled Percent Increase and Decrease. Column 1 is labeled October with entry negative 1. Column 2 is labeled November with entry 0.5. Column 3 is labeled December with entry negative 0.9. Column 4 is labeled January with entries three-fourths. Column 5 is labeled February with entry one-half. A number line going from negative 1 to positive 1 in increments of 0.25. Graph the numbers on the number line. Choose the inequality symbol that makes each comparison true. Nov. Feb. Oct. Dec. Jan. Nov.

Answers

Answer:

B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.

Step-by-step explanation:

Answer:

Nov. ✔ = Feb.

Oct. ✔ < Dec.

Jan. ✔ > Nov.

Step-by-step explanation:

Edge 2022

A ship sails 9 km due West, then 5 km due South.

Find the bearing of the ship from its initial position.

Give your answer correct to 2 decimal places.

Answers

Answer:

10.29 km

Step-by-step explanation:

Given that,

A ship sails 9 km due West, then 5 km due South.

We need to find the distance of the ship from its initial position. Let the distance be d. We can find it as follows :

[tex]d=\sqrt{9^2+5^2} \\\\d=10.29\ km[/tex]

So, the required distance of the ship from its initial position is equal to 10.29 km.

4
Select the correct answer.
Solve the following equation for x.
x2 - 9x+ 18 = 0
O A.
X = -3; x = 6
ОВ.
X= 3; x = 6
OC.
x= -3; x = -6
OD.
x= 3; x = -6
(行
Reset
Next

Answers

Answer:

B

Step-by-step explanation:

Given

x² - 9x + 18 = 0 ← in standard form

(x - 3)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 6 = 0 ⇒ x = 6

solution is x = 3, x = 6 → B

find the mean of the table below.

Answers

The mean is 12.5

5+10+10+15+15+20= 75
75/6 = 12.5

Answer: 12.5

Step-by-step explanation:

So, basically there is 5 minutes and the number of times occuring is 5 so its 5x1 which is 5 and then there is 10 minutes and the number of times occuring  is twice so its 2x10 which is 20. Next, is 15 minutes and the times occuring  is 2 so, 2x15 which is 30. And finally theres  20 minutes and the amount of times occuring  is once so 20x1 which is 20. Then you add them all up which is 5+20+30+20=75. And the formula for mean/average is The sum of all number/ The amount of numbers there are so 75/6 is 12.5.

Simplify each radical expression, if possible 3v/7-5^4v/7

Answers

Answer:

cannot be simplified

Step -by-step explanation:

[tex]3\sqrt{7} - 5\sqrt[4]{7} \\[/tex]

The indexes are not the same so the radicals cannot be combined.

cannot be simplified

evaluate plssssssssssssssssssss

Answers

Answer:

2/5!

Step-by-step explanation:

Eva uses 10 tiles to make a mosaic. Five of the tiles are blue. What fraction, in simplest form, represents the tiles that are blue?

Answers

Answer: 1/2

Step-by-step explanation:

From the question, we are informed that Eva uses 10 tiles to make a mosaic and that five of the tiles are blue.

The fraction that represents the tiles that are blue will be:

= Number of blue tiles / Total number of tiles

= 5/10

= 1/2

6. How do you find the slope of a line?
A Divide the difference of the y values by the differences of the x values.
B Divide the difference of the x values by the differences of the y values.
C Divide the rise of the line by the run of the line.
D Both A and C.

Answers

Answer:

D

Step-by-step explanation:

Solve 100x²+81=0 using square roots

Answers

the answer should be x=9i/10

Answer:

10

Step-by-step explanation:

The principal, real, root of:

100−−−√2

=10

All roots:

10

−10

100 is a perfect square

The box-and-whisker plots below show the test scores for Mr. Scott's three math classes.

Based on this information, with which class or classes does Mr. Scott most need to review the material covered on the test?

A. third period
B. first period
C. third and fourth periods
D. fourth period

Answers

Answer:

A. Third period

Step-by-step explanation:

- hope this helped!

Answer:

3rd

Step-by-step explanation:

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