If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will win at least six out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.

Answers

Answer 1

Answer:

0.014

Step-by-step explanation:

The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).

This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

[tex]P(X=x) = \frac{n!}{(n-x)!x!}*p^ x*(1-p)^{(n-x)}[/tex]

Thus:

[tex]P(X=6) = 7*0.38^6*0.62\\P(X=6) =0.01307\\P(X=7) = 0.38^7\\P(X=7) =0.00114[/tex]

The probability is:

[tex]P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014[/tex]

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.


Related Questions

Solve for d.

–4(–3d − 3) = 6d

d =

Answers

Answer:

d = -2

Step-by-step explanation:

→Distribute the -4 to (-3d - 3)

-4(-3d - 3) = 6d

12d + 12 = 6d

→Subtract 6d from both sides:

6d + 12 = 0

→Subtract 12 from both sides:

6d = -12

→Divide both sides by 6:

d = -2

Answer:

[tex] \boxed{d = -2} [/tex]

Step-by-step explanation:

[tex]= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2[/tex]

Identify the Domain and Range of the graph below:

Answers

Answer:

Domain: ∞

Range: y ≥ -4

Step-by-step explanation:

The domain of any quadratic function is always infinite or ∞. The range ends where the minimum value is or the maximum value depending on which way the parabola is facing- upward or downward.

QUICK!! Identify the parts of this prism. A is ___ B is ___ C is ___

Answers

Answer:

c=face. b=vertex. a=line

Step-by-step explanation:

Answer:

a= edge   b=vertex    c=face

Step-by-step explanation:

Laura and Andy are trying out for a part in a school play. There is a total of 9 students trying out for the same part. If the students are chosen at random to audition, what is the probability that Laura will go first and Andy second?

Answers

The probability that Laura will go first and Andy second is 1/210

In Triangle A B C, what is the value of x? Triangle A B C. Angle A is 112 degrees. Exterior angle to angle B is 2 x degrees and the exterior angle to angle C is (2 x + 12) degrees.

Answers

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°

Answer:

70º

Step-by-step explanation:

i took the test

Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!!

Answers

Answer:

Is this correct

what is the answer for this equation 8k - 62 = 2 plz answer this correctly

Answers

Answer:

k = 8

Step-by-step explanation:

You are solving for the variable, k. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS =

Parenthesis

Exponents

Multiplications

Division

Addition

Subtraction

First, add 62 from both sides:

8k - 62 = 2

8k - 62 (+62) = 2 (+62)

8k = 2 + 62

8k = 64

Next, divide 8 from both sides:

(8k)/8 = (64)/8

k = 64/8

k = 8

8 is your answer for k.

~

I hope you can see but can somebody please help me with this?

Answers

Answer:

c find the value

Step-by-step explanation:

plz workout

HELPPPPPP ITS ABOUT EQUATIONSSSS HELPPPPP
Explanation needed

Answers

Answer:

C. the average total cost for the first month of a gym membership

Step-by-step explanation:

x=1 is for month 1,

the value of y includes 1-month fee and one off payment, so this is the average total for the first month of membership

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

Answer:C

0.1s=2•0.2h

H+S=30

Step-by-step explanation: I did it on khan

If you used 0.5 ml of sample and 2.5 ml of diluent what is your dilution ratio?

Answers

Answer:

1/6

Step-by-step explanation:

I think it is:

0.5/(0.5+2.5) = 0.5/3 = 1/6

what is the equation of a circle with center (5, -8) and diameter 4?

Answers

Answer:

is 8 porque s mi nose maje

Angle b measures 60 what is the measure of the angle that is complementary to angle b ?

Answers

Answer:

30°

Step-by-step explanation:

Complementary is they add up to 90°

90° - 60° = 30°

Answer:

30 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees.   Thus, 60 and (complementary angle) = 90 degrees.  Thus, the angle that is complementary to 60 degrees is 30 degrees.

) Dara invests $800 at 12.5% per annum compound
interest compounded half- yearly .What in his amount of
interest at the end of the first year?

Answers

answer: $1,012.50

Step-by-step explanation:

12.5 ÷ 100 = 0.125

0.125 × 800 = 100

800 + 100= 900 ( half-yearly interest)

0.125 × 900 = 112.5

900 + 112.5 = $1,012.50 ( end of first year interest)

Please answer this math question !! Thank u !! 20 POINTS AND BRAINLIEST!!

Answers

Answer:

infinite solutions

Step-by-step explanation:

Given the 2 equations

y = 6x - 3 → (1)

12x - 2y - 6 = 0 → (2)

Substitute y = 6x - 3 into (2)

12x - 2(6x - 3) - 6 = 0 ← distribute and simplify left side

12x - 12x + 6 - 6 = 0

0 = 0

This solution 0 = 0 indicates that any value of  x is a solution

Thus there are an infinite number of solutions to the system

Given: ∠1 =∠ 4 ∠ B = ∠D Prove: AD = CB Which of the following triangle congruence theorems would be used in this proof? A. SAS B. ASA C. AAS

Answers

Answer:

Step-by-step explanation:

<2=180-(1+B)

<3=180-(4+D)

trg ACB=trgACD(<2=<3, AC =AC, <1=<4

ASA

Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Below is the floor
plan of her kitchen.
2.5m
1.5m
14m
Jenny wants to know if she has got enough money to buy the tiles.
The tiles are sold in packs, which cover 3m
Jenny has a discount card which gives her 25% off any marked price at the DIY shop.
The tiles are marked at £14.40
Jenny has £100 to spend on the tiles.
How much extra does Jenny need to buy the tiles?
Give your answer in pence.

Answers

Answer:

Jenny needs £8 extra to buy the tiles.

Step-by-step explanation:

Jenny's kitchen floor is in the form of trapezoid.

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                [tex]=\frac{1}{2}(2.5+1.5)14[/tex]

                               = 28 meter²

One pack of tiles covers the area = 3 meter²

She needs the number of packs of tiles =  [tex]\frac{\text{total area }}{\text{area covered by one pack of tile}}[/tex]

[tex]=\frac{28}{3}[/tex]

= 9.33

Therefore, she has to purchase 10 packs of tiles.

Since the price of one pack of tiles = £14.40

Price of 10 packs of tiles = 14.40 × 10

                                                = £144

Price after using discount card of 25% = 144 -(25% of 144)

                                                                = 144 - (0.25 × 144)

                                                                = 144 - 36

                                                                = £108

Jenny has £100, so she needs £8 extra to buy the tiles.

The price of a rare collection car has increased exponentially
over the past few years with a rate of increase estimated at 5% per year.
At the start of 2015 the value of the car was estimated at £265000.
Estimate the value of the car at the start of 2010.
Round your answer to 3 significant figures.​

Answers

Answer: £208,000

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original price

r = increase rate (decimal form)

t= years  (2015-2010 =5 years)

A = price after t years

Replacing with the values given:

265,000 = p (1+ 0.05)^5

Solving for p

265,000 = p (1.05)^5

265,000 = p (1.05)^5

265,000/ (1.05)^5 =p

p =  £207,634. =208,000 (rounded)

Feel free to ask for more if needed or if you did not understand something.

Answer:

208,000

Step-by-step explanation:

If f(x) = x2 + 1 and g(x) = 3x+1, find f(2) + g(3).

Answers

Answer:

ES IGUAL A 15

Step-by-step explanation:

Don Julio tiene 42 años de edad y Rubén 18,

¿en qué razón están las edades de Rubén y don

Julio?

A) 3 : 4

B) 3 : 5

C) 3 : 6

D) 3 : 7

E) 3 : 8

Answers

Answer:E

Step-by-step explanation:

What is the circumference AND area or circle C?

Answers

Answer:

[tex]56.55[/tex] [tex]in[/tex]

[tex]254.47[/tex] [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]C=18\pi[/tex]

[tex]C=56.54866776[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi(9)^{2}[/tex]

[tex]A=81\pi[/tex]

[tex]A=254.4690049[/tex]

In the triangle below, what is the length of the side opposite the 60° angle?

Answers

Answer:

C. 3√3

Step-by-step explanation:

Remember your 30-60-90 triangle rules.

They give you 3 as a side in the 30-60-90. That side length 3 will be your x. The side opposite of it is x√3. Simply plug in 3 as it is x and you should get 3√3 as your answer.

Answer:

C

Step-by-step explanation:

In all 30 60 90 triangles, the side opposite the 60 degree angle will be the short leg times [tex]\sqrt{3}[/tex]

So, the length of that side in this triangle will be 3[tex]\sqrt{3}[/tex]

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

If x=1+√2, evaluate x³+1/x³.

Answers

Answer:

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

x3+1x3+9=27

x3+1x3=18  

Therefore the answer is 18

Teresa is 25 years old, and she makes $30,000 per year. If Teresa were to die,

how much would the beneficiaries of her life insurance policy receive if they

can get by on 75% of her income?

Answers

Answer:

They would receive $22,500 which is 75% of her income

Step-by-step explanation:

Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.

From the question, we are told that they have the right to claim 75% of her income

From the question also, we were told that what she earns per annum is $30,000

Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;

75/100 * $30,000 = $22,500

Answer:225,000

Bshshsjjdjdnfnjfkf

Simplify √108+√125-√75​

Answers

Answer: Answer in the photo

Step-by-step explanation:

Answer:

12.91

Step-by-step explanation:

find the square roots ;

10.39 + 11.18 - 8.66 = 12.91

Which graph represents the function f(x) = 2 (2)X?

Answers

Where are the graphs

Answer:

C.) Third graph

Step-by-step explanation:

BeCaUsE i KnOw :P

How much money must be deposited to T
earn $200.00 in simple interest in 6 months at an annual
rate of 5.5%?
Can someone help me please?!

Answers

Answer:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 200(1 + (0.055 × 0.5)) = 205.5

A = $205.50

Step-by-step explanation:

If C is the midpoint of AB and AB = 20, what is AC?

Answers

Answer:

AC = 10

Step-by-step explanation:

AC+ BC =AB

If C is the midpoint then AC = BC

AC + AC = 20

2 AC = 20

Divide by 2

2AC /2 = 20/2

AC = 10

Answer:

AC=10

Step-by-step explanation:

If a-------c-------b and AB=20 and C is the midpoint, then half of 20 would be 10.

A circle is centered at Q(1,-5) and has a radius of 5. Where does the point Y(4,-1) lie?

Answers

Answer:

Point Y (4, -1) lies on the circle.

Step-by-step explanation:

Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5

Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.

Answer:

On the circle

Step-by-step explanation:

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Researchers discovered that the level of lead poisoning can be determined by analysis of a blood sample. This is possible because of the interaction ofA.the muscular system and the immune system.B.the digestive system and the cardiovascular system.C.the skeletal system and the excretory system.D.the endocrine system and the reproductive system. State the steps on how to solve 5x2 18 = 27 using Square root Property in solving Quadratic Equation. what type of solution does this equation have? A body of mass 1kg has a 25kgsmsqure moment of inertia about its center of mass. if it rotated about an axis which has a displacement (5,12)m, its moment of inertia about this axis becomes Find the area of the circle given the following information. Give the exact answer and an approximation to the nearest tenth. NAME AND EXPLAIN THE PUR[OSE OF ONE LAW THAT PROTECTS THE CITIZENS OF SOUTH AFRICA FROM GBV How is sleet different from freezing rain?A. Sleet occurs above zero degrees Celsius, while freezing rain occurs below zero degrees Celsius.B. Sleet remains a liquid, while freezing rain becomes a solid while falling to Earth.C. Sleet is composed of small particles, including dust and pollutants, while freezing rain is pure water.D. Sleet freezes in the air, while freezing rain freezes on contact with the ground. Elmo has two different part-time jobs, and he works 20 hours per week at each job. He earns $ 8 per hour at one job. Which expression represents how much Elmo earned last week if he earns d dollars per hour at his other job ? An investment of $100 comma 000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 7380. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment. where is the climax of the passage? Which is the best first step and explanation for solving this system of equations? 3x+4y=12 3x=2y-8 Information related to Whispering Winds Corp. is presented below. 1. On April 5, purchased merchandise on account from Martinez Company for $34,800, terms 2/10, net/30, FOB shipping point. 2. On April 6, paid freight costs of $790 on merchandise purchased from Martinez. 3. On April 7, purchased equipment on account for $28,200. 4. On April 8, returned damaged merchandise to Martinez Company and was granted a $5,500 credit for returned merchandise. 5. On April 15, paid the amount due to Martinez Company in full.Prepare the journal entries to record these transactions on the books of Harwick Co. under a perpetual inventory system. 1. (a) The life time of a certain brand of bulbs produced by a company is normally distributed, with mean 210 hours and standard deviation 56 hours. What is the probability that a bulb picked at random from this companys products will have a life time of:(i) (ii) (iii)at least 300 hours,at most 100 hours, between 150 and 250 hours.(b) In a contest, two friends, Kofi and Mensah were asked to solve a problem. The probability that Kofi will solve it correctly is and the probability that Mensahwill solve it correctly is . Find the probability that neither of them solved it correctly.2. Suppose that the random variable, X, is a number on the biased die and the p.d.f. of X is as shown below;X123456P(X=x)1/61/61/5k1/51/6a) Find;(i) (ii) (iii) (iv) (v)the value of k. E(X)E(X2) Var(X) P(1 X Select one: A. T F B. T D C. J F D. J D What is the importance of natural vegetation? Bernardo heard that as a general rule, he should spend no more than oneweek's pay on rent. If Bernardo's pay is $34,800 per year, what is themaximum amount per month that he should spend on rent?A. $2030B. $2900C. $1044D. $669 On December 1 of the current year, Rob Elliot invested $35,000 of his cash to form a proprietorship, GGE Enterprises. After all transactions have been entered into the accounting equation, the following are the ending balances for selected items on December 31. On that date, the financial statements were prepared. The statement of owners equity for GGE Enterprises reported Rob Elliots owners equity as of December 31 at $38,000. The balance sheet reported total liabilities and owners equity of $55,650. Accounts Accounts Rob Elliot, Rob Elliot, Fees Rent Supplies Utilities Wages Miscellaneous Cash Receivable Land Payable Capital Drawing Earned Expense Expense Expense Expense Expense ? $8,600 $16,500 ? ? $5,750.00 $26,750.00 $6,400.00 ? $4,650.00 $1,265.00 $460.00 Review the following questions. Place an X in the box to indicate which financial statement(s) report the desired information. Enter the amount reported on the financial statement. Balance Income Statement of Sheet Statement Owners Equity Amount What are the total assets owned by GGE Enterprises? $ How much cash is being held by GGE Enterprises? X $ By what amount did Rob Elliots equity increase or decrease during the period? $ What is the amount of profit or loss during December? $ What were the total expenses for December? $ How much expense was reported for supplies? $ How much does GGE Enterprises owe to its creditors? $ An amoeba consists of a single cell and has a nucleus. What is an amoebacalled? If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?A) 16, 1/16B)16, -16C)8, -8D)8, 1/8 10. You are given the equation 2(1/2t+3)=1to solve as partof a homework assignment.PART ADescribe the first step needed to solvethe equation.PART BSolve the equation for t.