A basketball player shoots free throws and makes them with probability 1/7. What is the probability of the event the player will miss three in a​ row?

Answers

Answer 1

Answer:

216/343 or 0.6297 (4dp)

Step-by-step explanation:

Anytime the probability of an event occurs more than once in a particular order (one time after another in the same instance), then the probability is multiplied together. If the probability of him making the shot is 1/7, then the probability of him missing it is 6/7. This is because this is the only other possible outcomes and all outcome probabilities must add to 1 (1-1/7 - 6/7).

So, if he misses it three times in a row then the probability is:

6/7 (probability miss this first time) x 6/7 (probability miss second time) x 6/7 (probability miss 3rd time).

6/7 x 6/7 x 6/7 = 216/343

or 0.6297 (4dp)

Hope this helped!


Related Questions

when do historians believe that Euclid complete his work​

Answers

Answer:

2.999 millions hours ago

Step-by-step explanation: :)

3(x-5) – 1/2(10x + 10) I don’t understand and I need the answers

Answers

Answer:3x-15-5x-5

-2x-20

Step-by-step explanation:

Answer:

-2x-20

Step-by-step explanation:

Expand 3(x-5) : 3x-15

Do not forget there is a subtraction sign in the middle.

Expand 1/2(10x+10) : 5x+5 : 5(x+1)

= 3x - 15 - 5(x+1)

Expand -5(x+1) : -5x-5

= 3x-15 - 5x - 5

Simplify 3x-15-5x-5 by adding like terms: -2x-20

= -2x-20

Question 4: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.

76 61 74 62 73 63 73 64 72 64
72 65 72 66 71 66 71 67 70 67
70 68 69 68 68

Determine the (approx) value of the 53rd percentile Round answer to nearest integer:

Answers

Answer:

69

Step-by-step explanation:

Since there are 25 values, then n=25.

Now, calculate the index: 

i=p/100n=53/100⋅25=53/4.

Since the index i is not an integer, round up: i=14

The percentile is at the position i=14. So, the percentile is 69.

Solve equation t+26=25

Answers

Answer:

t+26=25

t= 26-25 = 1

Step-by-step explanation:

a right rectangular prism has these dimensions:

Length: 1 1/3
width: 5/6
height: 2/3

Answers

I believe the volume would be 0.74^3

Write Three and eight thousandths in standard form? What is it

Answers

Thousandths is the 3rd decimal place

The answer is 3.008

which answer is right?

Answers

Answer: D

Step-by-step explanation:

Since we know that the area of the square is 900 in², we can use that to find the length of each side.

900=x²                 [square root both sides]

x=30

Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.

2r=30                    [divide both sides by 2]

r=15

With the radius, we can find the area of the circle.

A=π(15)²               [exponent]

A=225π

Since the problem said to leave in terms of π, the area is A=225π in².

Which set of ordered pairs represents a function?
o {(5,-2), (-5,2), (-5, -4),(4, -5)}
{(9,6),(-1,7), (9,–7), (4,7)}
o {(-1,0),(-8, 9), (7,0), (1,3)}
{(8,6), (8, –4), (-7, -2),(-1, —8)}

Answers

Answer:

{(-1,0),(-8, 9), (7,0), (1,3)}

Step-by-step explanation:

number 3 is the only one with no colliding outputs.

Solve for the missing angle?
A) 32*
B)44*
C)61*
D)50*

Answers

Answer:

using question mark as reference angle

Base = 13

hypotenuse = 18

usimg trigonometric ratios

cos? = B/h

? = inverse(13/18) = 43.74 = 44°

Step-by-step explanation:

Here, we are given with two sides and the triangle is a right angled triangle. Here, we can use trigonometry to find the missing angle.

Note: Always remember that the perpendicular, base and hypotenuse changes with the reference angle.

According to missing angle, cos theta can be used because we are given with base and hypotenuse. No need to find the perpendicular.

[tex] \cos( \theta) = \frac{base}{hypotenuse} \\ [/tex]

[tex] \cos( \theta) = \frac{13}{18} [/tex]

Now for finding the missing angle theta, inverse of cosine will be applied on the other side. Because, inverse of multiplication is division.

[tex] \theta = \cos {}^{ - 1} ( \frac{13}{18} ) [/tex]

[tex] \theta = \cos {}^{ - 1} (0.7222222222) [/tex]

[tex] \boxed{ \theta \approx \: 43.76174269 \degree}[/tex]

━━━━━━━━━━━━━━━━━━━━

Find the nth term of the sequence:
23, 19, 13, 5, -5.......

Answers

Answer:

Step-by-step explanation:

Given the sequence :

23, 19, 13, 5, -5.......

From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.

19 - 23 = -4

13 - 19 = -6

5 - 13 = -8

-5 - 5= -10

Hence an constant difference of - 2 after each successive difference.

Hence, this is a quadratic sequence

With the formula

an² + bn + c

The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?

Answers

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

Wich is equivalent to 12(3 2/3)!?

Answers

Answer:

1/5 = 2/10 = 3/15 = 4/20

= 5/25 = 6/30 = 7/35 = 8/40

= 9/45 = 10/50 = 11/55 = 12/60

= 13/65 = 14/70 = 15/75 = 16/80

= 17/85 = 18/90 = 19/95 = 20/100

= 21/105 = 22/110 = 23/115 = 24/120

= 25/125 = 26/130 = 27/135 = 28/140

= 29/145 = 30/150 = 31/155 = 32/160

= 33/165 = 34/170 = 35/175 = 36/180

= 37/185 = 38/190 = 39/195 = 40/200

= 41/205 = 42/210 = 43/215 = 44/220

= 45/225 = 46/230 = 47/235 = 48/240

= 49/245 = 50/250 = 51/255 = 52/260

= 53/265 = 54/270 = 55/275 = 56/280

= 57/285 = 58/290 = 59/295 = 60/300

= 61/305 = 62/310 = 63/315 = 64/320

= 65/325 = 66/330 = 67/335 = 68/340

= 69/345 = 70/350 = 71/355 = 72/360

= 73/365 = 74/370 = 75/375 = 76/380

= 77/385 = 78/390 = 79/395 = 80/400

= 81/405 = 82/410 = 83/415 = 84/420

= 85/425 = 86/430 = 87/435 = 88/440

= 89/445 = 90/450 = 91/455 = 92/460

= 93/465 = 94/470 = 95/475 = 96/480

= 97/485 = 98/490 = 99/495 = 100/500

Step-by-step explanation:

all of these are equivalent

Answer: 36/11  Or 3 3/11

Step-by-step explanation:

what is an interest rate​

Answers

Answer:

An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed

sun^4A+sin^2Acos^2A=sin^2A​

Answers

Step-by-step explanation:

sin⁴A + sin²Acos²A = sin²A

Proving the left hand side ( LHS)

That's

sin⁴A can be written as ( sin²A)(sin ²A)

So we have

( sin²A)(sin ²A) + sin²Acos²A

Next factor sin²A out

That's

sin²A ( sin²A + cos²A)

Using trigonometric identities

That's

sin²A + cos²A = 1

Simplify the expression

That's

sin²A × 1

We have the final answer as

sin²A

As proven

Hope this helps you

Solve for all possible values of x.
Vx+7-11=2
Ox= 6
O x = 20
Ox= 162
Ox = 169

Answers

x=6. 6+7=13 13-11=2

-4 1/2 divided by (-2 2/3

Answers

Answer:

1 11/16

Step-by-step explanation:

Answer:

1 11/16

Step-by-step explanation:

Convert mixed numbers into improper fractions:

-4 1/2

Step 1: whole number x denominator + numerator

-4 x 2 + 1 = -9

Step 2: write that number over your original denominator

-9/2

Step 3: repeat for other fraction

-2 2/3

-2 x 3 + 2 = -8

-8/3

Step 4: copy, dot, flip

-9/2 × -3/8

Step 5: solve

27/16

Step 6: convert back to mixed number

1 11/16

*note* Negative x negative = positive

If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are picture cards .

Answers

Answer:

If we defelt 4 cards from 52 cards

Step-by-step explanation:

P(b) favorable outcome /total number of outcomes

48/52

The probability that all 4 cards are picture cards is  0.00183

How many kinds are in a deck of 52?

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images.

as, we know

A face card is any of the twelve cards in a deck which has a picture of a face. The face cards are kings, queens, and jacks.

So, the possibilities to get a picture card is are 3*4=12.

Now, he probability that all 4 cards are picture cards

=(12/52) * (11/51) * (10/50) * (9/49)

=( 11880 / 6497400 )

= ( 0.0018284237 )

= 0.00183

Learn more about deck of cards here:

https://brainly.com/question/19202591

#SPJ2

How do you do this problem?

Answers

Answer:

Your answer is absolutely correct

Step-by-step explanation:

The work would be as follows:

[tex]\int _0^{\sqrt{\pi }}4x^3\cos \left(x^2\right)dx,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=> 4\cdot \int _0^{\sqrt{\pi }}x^3\cos \left(x^2\right)dx\\\\\mathrm{Apply\:u-substitution:}\:u=x^2\\=> 4\cdot \int _0^{\pi }\frac{u\cos \left(u\right)}{2}du\\\\\mathrm{Apply\:Integration\:By\:Parts:}\:u=u,\:v'=\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\int \sin \left(u\right)du\right]^{\pi }_0\\\\[/tex]

[tex]\int \sin \left(u\right)du=-\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0\\\\\mathrm{Simplify\:}4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0:\quad 2\left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0\\\\\mathrm{Compute\:the\:boundaries}:\quad \left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0=-2\\=> 2(-2) = - 4[/tex]

Hence proved that your solution is accurate.

Answer:

[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx=-4[/tex]

Step-by-step explanation:

So we have the integral:

[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx[/tex]

As told, let's use u-substitution first and then use integration by parts.

For the u-substitution, we can let u to be equal to x². So:

[tex]u=x^2[/tex]

Differentiate:

[tex]du=2x\, dx[/tex]

We can rewrite our integral as:

[tex]\int\limits^{\sqrt{\pi}}_0 {2x(2x^2)\cos(x^2)} \, dx[/tex]

Therefore, by making our u-substitution, our integral is now:

[tex]\int\limits {2u\cos(u)} \, du[/tex]

We also need to change our bounds. Substitute them into u. So:

[tex]u=\sqrt{\pi}^2=\pi\\u=(0)^2=0[/tex]

Therefore, our integral with our new bounds is:

[tex]\int\limits^{\pi}_{0} {2u\cos(u)} \, du[/tex]

Now, let's use integration by parts. Integration by parts is given by:

[tex]\int\limits {v}\, dy=vy-\int y\, dv[/tex]

(I changed the standard u to y because we are already using u).

Let's let v be 2u and let's let dy be cos(u). Thus:

[tex]v=2u\\dv=2\,du[/tex]

And:

[tex]dy=\cos(u)\\y=\sin(u)[/tex]

So, do integration by parts:

[tex]=2u\sin(u)-\int \sin(u)2\,du[/tex]

Simplify:

[tex]=2u\sin(u)-2\int \sin(u)\,du[/tex]

Evaluate the integral:

[tex]=2u\sin(u)+2\cos(u)[/tex]

Now, use the bounds. So:

[tex](2(\pi)\sin(\pi)+2\cos(\pi))-(2(0)\sin(0)+2\cos(0))[/tex]

Evaluate:

[tex]=(2\pi(0)+2(-1))-(0(0)+2(1))[/tex]

Simplify:

[tex]=(-2)-(2)[/tex]

Subtract:

[tex]=-4[/tex]

And we're done!

Which led to the formation of oceans after water on Earth’s surface evaporated?



Answers

Answer:

The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure

Step-by-step explanation:

Answer:

As Earth cooled, water in the atmosphere condensed

Step-by-step explanation:

dues to high temps, water evaporated.

as the earth's surface cooled, water condensed and formed oceans

rocks hardened to form continents

when examining distributions of numerical data, what three components should you look for

Answers

Answer:

The three components you should look for when examining distributions of numerical data are Shape, center, and spread

-Source(I took AP statistics in senior year of high school and passed the AP test)

The three components for examining distributions of numerical data are Shape, centre, and spread.

What is distribution of data?

A normal distribution is a common probability distribution. It has a shape often referred to as a "bell curve." Many everyday data sets typically follow a normal distribution: for example, the heights of adult humans, the scores on a test given to a large class, errors in measurements.

When examining the distribution of a quantitative variable, one should describe the overall pattern of the data (shape, centre, spread), and any deviations from the pattern (outliers). When describing the shape of a distribution, one should consider: Symmetry/skewness of the distribution Peakedness (modality) - the number of peaks (modes) the distribution has. Not all distributions have a simple, recognizable shape. Outliers are data points that fall outside the overall pattern of the distribution. It is always important to interpret the features of the distribution (as they appear in the histogram) mean in the context of the data.

Hence, The three components for examining distributions of numerical data are Shape, centre, and spread.

For more references on distribution, click;

https://brainly.com/question/29062095

#SPJ2

calculate 188 meters___________Yards

Answers

Answer:

205.599

Step-by-step explanation:

Answer:

205.599 yards

Step-by-step explanation:

1 meter = 1.09361 yards

Multiply 188 meters by 1.09361 yards

188 meters = (1.09361 yards) x (188 meters)

                   = 205.599 yards

x = - 4y + 37x + 3y = 29 pls help i need this grade!!!!!!!!

Answers

I personally got x =1/37 y +29/37

(7)/(9)-2n+(1)/(9) please helpppppp

Answers

Answer:

-2n + 8/9

Step-by-step explanation:

Try that tell me I it don't work

(6n-7)+(8n+2)=23 HELP FAST PLEASE

Answers

Answer:

n=2

Step-by-step explanation:

(6n-7)+(8n+2)=23

14n-5=23

14n=28

n=2

What is 456,345,698,746 ft in cm?

Answers

Answer:

13909416897778.08 cm

Step-by-step explanation:

Answer:

13909416897778.08 cm

Step-by-step explanation:

make 2 2/5% a fraction in simplest form ​

Answers

Answer: 3/125

Step-by-step explanation:

Answer:

24/1000

Step-by-step explanation:

Step 1:

2 2/5% = 2.4%

Step 2:

2.4% = 0.024

Step 3:

0.024 = 24/1000

Answer:

24/1000

Hope This Helps :)

Evaluate the expression and enter your answer in the box below.
[(8 + 10) /3] +3 • (7-3)

Answers

Answer:

38.6

Step-by-step explanation:

1. You want to purchase a car that costs $25,000. You must pay a 10% down payment. How much is this?

Answer: 2,500

2. What do you still owe?

Answer: 22,500

3. Determine the monthly payment for 60 months with an APR of 5.5%. Round to the nearest cent.

Answer: 22,500(0.055/12)/(1-(1+0.055/12)^(-60)= 429.78 rounded to the nearest cent.

4. How much do you pay all together at the end of the 60 months including the down payment and interest charges?

I need help with number 4. Please.

Answers

Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Evaluate the expression and enter your answer in the box below.
-7 • (5+ 3) +216 ➗ 4

Answers

Answer:

= -2

-7(5+3)+216/4

-7(8)+216/4

-56+54

= -2

A cylinder has a volume of 320x cubic inches and a height of 5 inches.
What is the radius of the cylinder?

Answers

Answer: 8 inches

Step-by-step explanation:

320π in³= π (r²) (5 in)

64 in² = r²

r = 8 in

Other Questions
Materials 80 mL Carbonated Water 80 mL Acetic Acid (2) Chalk Pieces (CaCO3) Permanent Marker *80 mL Tap Water *Timer (watch, cell phone, internet, etc.) Note: You must provide the materials listed in *red. Labware (3) 250 mL Beakers Digital Scale EXERCISE 1: SPELEOLOGY (UNDERSTANDING CAVE FORMATION) In this exercise, you will observe what happens to chalk in different solutions and compare your observations to what occurs in nature. 1. Do the results of the exercise support your hypothesis? Explain your reasoning. 2. Compare and contrast the reaction of the chalk pieces in each solution. 3. Is this exercise an analog for physical or chemical weathering? Explain your reasoning. 4. Using your observations of the chalk in different solutions, explain how a limestone cave forms. Discuss the effect of changing the flow tube radius on flow rate. Who was Millie La Mar? How did Millie La Mar die? Was she beautiful? Choose the country name that best completes this sentence: Copn es un sitio arqueolgico maya ubicado en la frontera oeste de ___________________. A. Espaa B. Honduras C. Guinea Ecuatorial D. Venezuela 11 times 11 in exponential expression Bob jogs 3/4 mile each day. How far does Bob jog in 6 days? The Golden Rule is an example of which of the following?A. EtiquetteB.A hotel chainEthicsD.Professionalism how do secondary sources help historian's understand the past When students were surveyed about the kind of thinking they considered to be most important in their academic studies, the majority chose? The formula for profit is P = I E solve the formula for E I need ASAP Hi. Please i need help with this question.Workings PleaseNote : 100k = N1So , N1.10 = 110k.Thanks. You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of therectangle: A(-5,8), B(-5,0), and C(-2,0). Tommy goes to Lowe's to buy some supplies for his yard. He buys 4 plants for n dollars, a 10-gallon bucket for $10, and a bag of fertilizer for $18. Write a simplified expression that can be used to represent the total cost Tommy will purchase at Lowe's. 1.Which property justifies the statement if y=7 then 7=y?A. reflexive propertyB. identity propertyC. symmetric propertyD. transitive property2.Which set of number is closed under subtractionA. Natural numberB. IntegerC. Irrational number D. odd numbers3. Which property justifies the statement (a-b)*0=0A. Inverse propertyB. Associative propertyC. Distributive propertyD. zero product property people who share religious beliefs are said to exhibit...A. the sociological imaginationB. VerstehenC. symbolic interactionismD. social solidarity A speedboat moves at a rate of 25 km/hr in still water. How long will it takesomeone to ride the boat 87 km downstream if the river's current moves at a rate of4 km/hr? On Friday, the temperature was 82F. The temperature changed by 2F on Saturday, and then it changed by 5F on Sunday. What was the temperature on Sunday? is there such thing as the average American citizen? how does bilateral symmerty extend to our senses? Enter an inequality that represents the description, and then solve.Dave has $9 to spend on a $6 book and two birthday cards (c) for his friends. How much can he spend oneach card if he buys the same card for each friend?Inequality:Dave can spend up to $on each card if he buys the same card for each friend.