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
Orlov [11]
3 years ago
6

There is a 85% probability that Jack's dad gives him permission to go to the movies tonight. There is a 60% chance that he will

be able to go to the movies and drive his car there alone. What is the probability that he will be able to drive to the movies alone given that his dad gives him permission to go?
Mathematics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

<u>The probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go is 51%.</u>

Step-by-step explanation:

1. Let's check the information provided to us to answer the question correctly:

Probability that Jack's dad gives him permission to go to the movies tonight = 85% = 0.85

Probability that Jack will be able to go to the movies and drive his car there alone= 60% = 0.60

2. What is the probability that he will be able to drive to the movies alone given that his dad gives him permission to go?

For answering the question we will use the following formula for dependent events, given that Jack's father gave him permission to go:

Probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go = Probability that Jack's dad gives him permission to go to the movies tonight * Probability that Jack will be able to go to the movies and drive his car there alone

Replacing with the real values, we have:

Probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go = 85% * 60%

Probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go = 0.85 * 0.60 = 0.51

<u>The probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go is 51%.</u>

You might be interested in
The table and graph represent the music downloads jamila purchased if the relationship is proportional which additional ordered
LuckyWell [14K]

Answer:

its 7, 5.25 i just got is right.

4 0
3 years ago
Guys please help me out ASAP, Due today. I
Mice21 [21]

Answer:

T_7 = 11

T_n = 2n- 3

Step-by-step explanation:

Given

S_n = n^2 -2n

T_n = S_n - S_{n-1}

Solving (a): T7

Substitute 7 for n in T_n = S_n - S_{n-1}

T_7 = S_7 - S_{7-1}

T_7 = S_7 - S_6

Calculate S7 and S6

S_n = n^2 -2n

S_7 = 7^2 - 2 * 7 = 35

S_6 = 6^2 - 2 * 6 = 24

So:

T_7 = 35 -24

T_7 = 11

Solving (b): Tn

T_n = S_n - S_{n-1}

Where S_n = n^2 -2n

CalculateS_{n-1}

We have:

S_{n-1} =(n-1)^2 - 2(n-1)

Open brackets

S_{n-1} = n^2 -2n + 1 -2n +2

S_{n-1} = n^2 -2n-2n + 1  +2

S_{n-1} = n^2 -4n + 3

So:

T_n = S_n - S_{n-1}

T_n = n^2 - 2n - (n^2 -4n + 3)

T_n = n^2 - 2n - n^2 +4n - 3

Collect Like Terms

T_n = n^2 - n^2- 2n  +4n - 3

T_n = 2n- 3

5 0
3 years ago
Perform the indicated operation 2 3/8 x 5 3/4
Butoxors [25]
Hello!

Change each mixed number to an improper fraction to make it easier

2 3/8 = 19/8

5 3/4 = 23/4

Now, multiply

19/8  × 23/4 = 437/32 = 13 21/32

Answer ⇒ 13 21/32

4 0
3 years ago
Read 2 more answers
URGENT DUE IN 20 MINUTES FOR GRADE PLEASE HELP<br> 2/3 (x-7)= -2
ASHA 777 [7]
<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
7 0
3 years ago
Please help me with this. Just have to write the equation. If you can solve, then you get brainliest guaranteed!
Temka [501]

x = player1

y = player 2

z = player 3

y = 2x  or 1/2 y =x

y = z-10  or z = y+10

x+y+z=70

substitute x= 1/2 y and z = y+10 into the above equation

1/2y + y + y+10 = 70

2.5 y + 10 = 70

subtract 10 from each side

2.5 y = 60

divide by 2.5 on each side

y = 60/2.5

y =24

x = 1/2 y

x = 1/2 *24 = 12

z = y+10 = 24+10 = 34

The three players scored 12, 24, 34


4 0
3 years ago
Read 2 more answers
Other questions:
  • Lind GJ is tangent to point A and point G.<br><br> If HF = 12, find IF.
    10·1 answer
  • T = LxS solve for x. whats the anwser xD
    10·1 answer
  • Which of the graphs below correctly solves for x in the equation −x2 − 3x − 1 = −x − 4?
    8·2 answers
  • What is the factor tree for 16 and <br> 20
    12·1 answer
  • Wriye a algebraic expression of 43 less than t
    11·2 answers
  • What does 11.25 x 1.5 equal
    13·2 answers
  • Divide in simplest form. 11/12 ➗3/4 <br> PLZZ HELP THIS IS A QUIZ I REPETE THIS IS A QUIZ!!
    8·2 answers
  • Convert the number to scientific notation. 0.000001019<br>​
    9·2 answers
  • The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is
    11·1 answer
  • Solve: 8+2x-12=58 <br><br> i need help please asap.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!