1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dem82 [27]
3 years ago
13

Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this

performance, what is the probability that they both make their next shot?
Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

\dfrac{14}{75}

Step-by-step explanation:

Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be  successful is

\dfrac{6}{15}=\dfrac{2}{5}

Jack made 7 out of 15 shots, so the probability that Jack's next shot will be  successful is

\dfrac{7}{15}

The probability that they both make their next shot successfully is

\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}

You might be interested in
The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of printed material on the poste
Degger [83]

Answer:

The total height and width of the poster is approximately 28.93 and 38.57.

Step-by-step explanation:

Consider the provided information.

Let us consider the width and length of the printed part of the poster is x and y respectively.

For better understanding refer the figure 1:

The area of the printed part is 382 cm²

Area = xy = 382

y = 382/x

Now the total height of the poster is y + 6 + 6 = y + 12

Total width of the poster is x + 8 + 8 = x + 16

Thus the total area of the poster is:

A = (x + 16)(y + 12)

Now substitute the value of y in above equation.

A = (x+16)(\frac{382}{x}+12)

A = 382+12x+\frac{6112}{x}+192

A = 12x+\frac{6112}{x}+574

Now differentiate the above equation with respect to x.

A' = 12-\frac{6112}{x^2}

Now, substitute A'= 0 and solve for x.

0 = 12-\frac{6112}{x^2}

12=\frac{6112}{x^2}

x^2=\frac{6112}{12}

x=22.57 Ignore the negative value of x as width can't be a negative number.

Now find A''

A'' = \frac{2(6112)}{x^3}

Here A" is positive for x>0 and x = 22.57 is minimum.

Use the value of x to find all the respective dimensions of the poster.

Substitute the value of x in y = 382/x

y = 382/22.57 = 16.93

The total height of the poster is y + 6 + 6 = y + 12 = 16.93 + 12 = 28.93

Total width of the poster is x + 8 + 8 = x + 16 = 22.57 + 16 = 38.57

Hence, the total height and width of the poster is approximately 28.93 and 38.57.

6 0
3 years ago
Read 2 more answers
The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will mel
Anon25 [30]

Answer:

hope this helps A block of ice melts in 2.5 hours when the temperature is 54 degrees.

Step-by-step explanation:therefore you can increase 2.5 and decrease 54 to whatever number you need

4 0
2 years ago
Y = -2x + 2 y = 5x + 9​
WITCHER [35]
X=-1 y=4 hope it helps
8 0
2 years ago
Complete the square for 3x^2-12x=9
larisa [96]

Answer:

The solutions are -0.65 and 4.65.

Step-by-step explanation:

3x^2 - 12x = 9

Divide both sides by 3

x^2 - 4x = 3

To make a square with "x^2 - 4x", you need to have a "+ 4" after it so it can be simplified as (x-2)^2.  So add 4 to both sides.

x^2 - 4x + 4 = 7

(x-2)^2 = 7

x - 2 = (square root) of 7

x = 2 (+/-) (square root) of 7.

x = {-0.65, 4.65}

The solutions are -0.65 and 4.65.

hope this helps:)sorry if it doesnt

8 0
3 years ago
Read 2 more answers
PLZZZZ HELLLLPPPP WILL MARK BRAINIEST LOTS OF POINTSSS PLZZZZ HURRRY
Anni [7]

The first box is 3 more than the quotient of 6 and a number, the second is 6 less than the product of 3 and a number, the third box is the product of 6 and the sum of a number and 3.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Hey! I am stuck on this, it's for class. I've been struggling with this for quite some time. So, if you have the chance. Click t
    9·2 answers
  • Find direction numbers for the line of intersection of the planes x + y + z = 7 and x + z = 0. (enter your answers as a comma-se
    5·1 answer
  • .Solve for x 5 x − 1 = 6 x − 9
    15·2 answers
  • Could someone help me with this?
    7·2 answers
  • I will make u the BRAINLIEST pls answer this question and explain!!!!!!!
    14·1 answer
  • 5 times what equals 200
    15·1 answer
  • What is 62 less than the product 22 and 3?​
    8·1 answer
  • A sample of iron-59 contains 50mg. One hundred days later, the sample contains 10.75 mg. What is the half-life of iron-59, in da
    8·1 answer
  • 12 inches of rain over 6 days in rate and unit rate
    10·1 answer
  • Please help me! I don’t have much longer till this assignment closes!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!