Mathematics High School

In hockey, Ed makes 7 goals for every 10 shots. If he takes 6 shots, what is the probability that he will make at least 5 goals?​

Answers

Answer 1
Answer: 0.420175

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Explanation:

Let's consider the case where Ed makes all 6 shots. The probability of this happening is (7/10)^6 = 0.117649

Let A = 0.117649 so we can use it later.

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Now consider the case where Ed makes exactly 5 shots. So he misses exactly 1 shot. Furthermore, consider the case where his first shot is a miss and the remaining 5 shots are successful.

The probability of getting the first shot a miss and the remaining 5 successful is (3/10)*(7/10)^5 = 0.050421

Note how 3/10 and 7/10 add to 1. The 3/10 is the probability of getting a miss (since he makes 7 goals for every 10 shots, he misses those 3 goals).

The value 0.050421 represents the probability for that first shot being a failed attempt while the rest are successful shots. Since there are 6 slots total, this means 6*0.050421 = 0.302526 represents the probability of missing exactly one goal and hitting the others. By this point, we aren't making the failed attempt at slot 1. It could be at any slot. For instance, the failed attempt could be at slot 4.

In other words, 0.302526 is the probability of making exactly 5 shots.

Let B = 0.302526

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To recap,

A = probability of getting all 6 shots in the goal (no failed attempts).B = probability of getting exactly 5 shots in the goal (exactly one attempt failed).

These two events are mutually exclusive. They cannot happen at the same time. That allows us to add the values of A and B to get the final answer

A+B = 0.117649+0.302526 = 0.420175

Therefore, A+B = 0.420175 represents the probability of either getting all 6 shots in the goal OR getting exactly five shots in the goal.

In short, 0.420175 represents the probability of making at least 5 shots. The phrasing "at least 5" means "5 or more".

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If you wanted to calculate this in one line, then you could say

(7/10)^6 + 6*(3/10)*(7/10)^5 = 0.420175

This decimal value is exact.

Related Questions

Solve for x.
Need help, please

Answers

Given:

The figure of a triangle with mid segment.

To find:

The value of x.

Solution:

According to triangle mid-segment theorem, the mid-segment of a triangle is parallel to the base and the length of the mid-segment is half of the base.

Using the triangle mid-segment theorem, we get

[tex]AB=\dfrac{1}{2}EG[/tex]

[tex]x+14=\dfrac{1}{2}(17+x)[/tex]

[tex]2(x+14)=17+x[/tex]

[tex]2(x)+2(14)=17+x[/tex]

On further simplification, we get

[tex]2x+28=17+x[/tex]

[tex]2x-x=17-28[/tex]

[tex]x=-11[/tex]

Therefore, the value of x is -11.

Item 5 Identify the terms, coefficients, and constants in the expression 6 + n x n + 1/2d

Answers

Answer:

Terms (Variables) =  x , d . Their corresponding coefficients = n^2 , 1/2 . Constant = 6

Step-by-step explanation:

6 + n x n + 1/2d

6 + n^2 x + 1/2d

Terms (Variables) =  x , d . Their corresponding coefficients = n^2 , 1/2 . Constant = 6

4. The total number of tickets sold at the Friday night football game was
1,650. Each adult ticket cost $3.50 and each student ticket cost $2.00.
The total revenue for ticket sales was $4,650. Which system of
equations could not be used to determine the number of adult
tickets, a, and student tickets, s, sold at the game?
a + s = 1650
A) 3.5a + 2s
4650
1650 - Sa
B) 3.5a + 25
4650
a + s = 1650
C) 3.5a - 4650
2s
D) a+s=1650 2a+3.5s= 4650

Answers

Answer

a + s = 1,650

3.5a + 2s = 4,650

Danielle has her finals coming up and she's worried she'll fail her class. Her past 3 test grades were a 72. an 85, and a 68. She needs a 70 to pass the class. What grade does she need to make on the final to get a 70?

Answers

Answer:

55

Step-by-step explanation:

I need help with this math question due today

Answers

Answer:

Please take a picture and ask it again, it had failed to access it.

Which prism has the greater volume

Answers

Answer: Same

Step-by-step explanation: They are both 120

Susie works part-time for $13 per hour. 12% of her gross pay is withheld for taxes. How much money is withheld for taxes if she works 32 hours?

Answers

Answer:

she receives 49 dollars for 32 hours

Help me please I have one day until the quarter and I need to pass this class I’m failing please help me

Answers

x+93=4x *vertical angles are congruent*
93=3x
x=31

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

The formula is:

V=Bh or V= l x w x h

I will use the l x w x h

So we know what the values are for each unit, so we would plug them in:

L x W x H = 10 x 2.3 x 4.5

Multiply the values which gets you 103.5


So the answer is 103.5 units cubed.


Have a nice day - Yeet
The answer is 103.5 cm.

To find volume: length x width x height

10 x 2.3 x 4.5 = 103.5

Consider parallelogram ABCD with diagonals that intersect at E. What value of x proves that the parallelogram is a rectangle if ED=7x+21 and AC=154?

a. 7
b. 8
c. 14
d. 19

Answers

I think it’s B I hope it helps

Find a, b, and c.

A) a=12, b=6 square root 3, c=3 square root 6
B) a=12, b=12 square root 2, c=3 square root 6
C) a=6 square root 3, b=12 square root 3, c=6 square root 2

Answers

Answer:

[tex]C). \: a=6 \: square \: root \: 3, \: b=12 \: square \: root \: 3, \: c=6 \: square \: root \: 2 \\ [/tex]

Xavier needs to bike a minimum of 80 miles this week for his training if he is already biked 14 miles this week and how many miles should he bike on each of the six remaining days this week?

Answers

Answer:

80miles=6days

14

14 ×6=84

84÷80=1.05

1.05 miles

Solve for a. Will give out 10 points!

Answers

Answer:

a=7

Step-by-step explanation:

3a-10 = 4+a

2a-10 = 4

2a = 10+4

2a = 14

a = 7

CHECK

21-10 = 4+7

11 = 11

Correct

Answer:

A=7

Step-by-step explanation:

Yall please help meee

Answers

Answer-

x=0;y=3

x=1;y=-1

x=2;y=-5

x=3;y=-9

m = 5 and d = 4
m2 + 2d + 8 + d

Answers

the answer is 30!!!!!!!!!!!!!!!!!!!!!
The answer to this equation is 30!!!!

There are 20 students in the drama club. Next year, 5
students will leave the drama club and some students
will join. If d is the number of students who will join the
drama club, write an expression to represent the total
number of students in the drama club next year.

Answers

Answer:

27

Step-by-step explanation:

Let d = number Of drama club members

let y = number of yearbook club members

now you can write two equations, one for the total number of students, and one for the difference between them.

d + y =64

d - y = 10

 

to solve for d, add these two lines together (so as to remove the y’s)

2d + 0y = 74

d = 37

now substitute back into one of the formulas

d+y=64

37+y=64

subtract 37 from each side,

y = 27

What is the slope for this graphed line?
4/3
-3/4
-4/3
3/4

Answers

Answer:

3/4

Step-by-step explanation:

what number is 10% of 65?
write the whole number from each problem

Answers

Your answer: 65 * 0.1 = 6.5

Algebra....one quest one please answer- WILL GIVE BRAINLIEST!!!

Answers

Answer:


Explanation:

triangle:

180(3-2) = 180

180 - (50+90) = 40

x finding:

2x - 10 = 140

2x = 150

x = 75

check:

2(75) - 10 = 140

140 + 40 = 180

Your answer:

x = 75

angle: 140

find the diameter of a circle whose radius is 38cm​

Answers

Answer:

Diameter is twice the radius. 76 cm

Step-by-step explanation:

Answer:

The answer is

[tex]2 \times 38 = 76[/tex]

Do y’all know what number 3,4, and 5 is??

Answers

Answer:

I'm not sure on the others but 5 is 11

Explanation:

11^2=121

121-121=0

WILL PAY REAL MONEY IF I GET ACTUAL ANSWERS


Can someone help me get 12 Quotes for Fahrenheit 451 that support the idea that the novel is set in a dystopia OR utopia. It has to be clear which side it supports.

Answers

Answer:

no thank you but good luck

You construct a tangent to circle O at point X on the circle, as shown below. What do you expect to be the measure of ∠OXY?


Answers

Answer: 90 Degrees :)

Step-by-step explanation:

Ur Welcome ;)

A soccer coach fills a jug with 10 liters of water before practice. Which object has a volume closest to that of the water jug? coffee mug fish tank soda can swimming pool

Answers

Answer:

fish tank

Step-by-step explanation:

Volume refers to the space occupied by an object. The three dimensional measurement is used to find the volume of an object. Length, width and height of the object helps in finding the volume of it.  

According to the given question, the volume of a jug with 10liters of water in it will be closest to that of the volume of the fish tank. There are various sizes in which fish tanks are available. From the given options, coffee mug and soda can can be very small to hold a capacity of 10 liters. At the same time, swimming pool will hold water in multiples of 100 liters. Therefore, the most suitable option will be a fish tank.

Complete the table of values for the equation 2y +6x =6

Answers

Answer:

85

Step-by-step explanation:

I NEED HELP NOW!!!

Help pls ASAP

Answers

Answer:

linear

Step-by-step explanation:

HELP ASAP!!!20pts

1/3x=−20

WHAT IS X?

Answers

Answer:

x = -60

Step-by-step explanation:

1/3x=−20

X is 1/3

X times 3 = a full X

Fill it in

X times -20 = -60

Hope this helps :)

0.4(-3.6-0.5x)+0.8(1.9+x)

I NEED ASAP WILL GIVE BRAINLEST

Answers

Answer:

here’s the graph

Answer:

0.6x - 12.88

Step-by-step explanation:

Start by distributing the values outside the quantities to the values inside the quantities.

0.4(-3.6-0.5x) + 0.8(1.9 + x)

-14.4 - 0.2x + 1.52 + 0.8x

Combine like terms

-12.88 + 0.6x

Please help me i will mark you brainliest

Answers

Answer:

it will be c

Step-by-step explanation:

Write a unit rate for the situation: 3.5 ounces of mealworms for $8.75.

Answers

Answer:

1 ounce of mealworms for $2.50

Step-by-step explanation:

3.5/3.5 = 1 oz

8.75/3.5 = $2.50

1 ounce of mealworms for $2.50

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