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
lora16 [44]
3 years ago
7

Select the correct answer. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% ch

ance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. If the test predicts that there is no oil, what is the probability after the test that the land has oil? answer choices : a, 0.1698 , b 0.2217, c 0.5532, d 0.7660
Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

Option A 0.1698

Step-by-step explanation:

Given that Jason has a chance for getting oil as 45%

THe kit he buys show accurate result with 80% probability

Let A1- Event that the land has oil

A2 - Event that the land has no oil

B- The test gives negative result

A1 and A2 are mutually exclusive and exhaustive

P(A1) = 0.45 and P(A2) =0.55

Hence we can use Baye theorem

Then P(B) = P(A1B)+P(A2B)=0.45(0.20)+0.55(0,80)\\=0.09+0.0.44\\=0.53

Reqd prob =P(A1/B) =

\frac{P(A1B)}{P(B)}\\ =\frac{0.09}{0.53}\\\\=0.1698

You might be interested in
How many different ways can 13 questions on true-false test be answered if a student answers every question?
Darya [45]
Each question has 2 possible answers.

There are 13 questions.

Number of different ways = 2^{13} = 8192

Answer: There are 8192 different ways.
4 0
3 years ago
−6(x+7) pls help me.
QveST [7]
The answer is -6x - 42
3 0
3 years ago
Read 2 more answers
Please help. Sooooo yeah
Bingel [31]

Answer:

1.

2.

3.

4.

5.

6.

Step-by-step explanation:

8 0
3 years ago
Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.)
Lilit [14]

Answer:

Δy = 0.822

dy = 0.6

Step-by-step explanation:

Let us use the rules:

If f(x) = y, then

  • dy = f'(x) . dx
  • Δy = f(x + Δx) - f(x)

∵ y=e^{x}

- Differentiate it (remember the differentiation of e^{x} is

∴  y'=e^{x}(1)

∴  y'=e^{x}

∵ dy = y' . dx

∴ dy=e^{x}dx

∵ x = 0

∵ dx = Δx

∵ Δx = 0.6

∴ dx = 0.6

- Substitute x by 0 and dx by 0.6 in y'

∴ dy=e^{0}(0.6)

- Remember any number to the power of 0 is 1 except 0

∵ e^{0} = 1

∴ dy = 0.6

∵ Δy = f(x + Δx) - f(x)

∵ x = 0

- Substitute x by

∴ f(0) = e^{0}

∴ f(0) = 1

∵ Δx = 0.6

∵ x + Δx = 0 + 0.6

∴ x + Δx = 0.6

- Substitute x by 0.6

∴ f(0.6) = e^{0.6}

∴ f(0.6) = 1.8221188

∵ Δy = f(0.6) - f(0)

∴ Δy = 1.8221188 - 1

∴ Δy = 0.8221188

- Round it to the nearest 3 decimal places

∴ Δy = 0.822

8 0
3 years ago
You and your friend are in a canoe race. Your friend is a half mile in front of you and paddling 3 miles per hour. You are paddl
Anit [1.1K]

Answer:

a. 1.25 hours

b. 0.5 miles ahead

Step-by-step explanation:

This problem can be easily solved with the use of relative speed, then a problem of two bodies become a problem of one object.

The relative speed between two objects moving in the same direction is:

v_{r}=|v_{a}-v_{b}|

In the problem:

v_{r}=|3mi/h-3.4mi/h|=0.4 mi/h\\

What this relative speed means is the speed at which you are catching your friend up, then in order to catch your friend up you need to paddle the distance your friend is in front of you.

The time necesary to catch your friend up is:

t=\frac{distance}{v_{r}} =\frac{0.5miles}{0.4\frac{miles}{h} } =1.25 hours  

The distance that you paddle in order to cath your friend up is:

d=vt=3.4\frac{miles}{h}(1.25h)=4.25 miles

Then you are 4.25 miles from the finish line (8.5 miles - 4.25 miles) when you catch your friend up. The time necesary to cross the finish line is:

t=\frac{distance}{v}=\frac{4.25 miles}{3.4 \frac{miles}{h} }=1.25 hours

In that time, your friend will paddle:

d=v_{friend}t=3\frac{miles}{h}1.25 h = 3.75 miles

Then, when you cross the finish line you will be 0.5 miles ahead of your friend (4.25 miles - 3.75 miles).

7 0
3 years ago
Other questions:
  • A computer with software costs $2,938, and Catherine Stevens has agreed to pay a
    13·1 answer
  • Each 7th grader brings $5 for charity, while each 8th grader brings in $8. The total collected is $1380. There are 10 more 8th g
    10·1 answer
  • Which of the following is the last step in creating a budget?
    13·1 answer
  • Given: 123,456,789. What place is the “2” in?
    14·2 answers
  • ILL GIVE BRAINLIEST PLZ HURRY
    6·1 answer
  • What property is this 2a + 16 > 18
    6·2 answers
  • Whoever answers with the correct answer first I will mark brainiest.
    11·1 answer
  • Please hurry and answer! Will mark brainliest!!!
    14·2 answers
  • Sinx+(75độ)=sin 15 độ
    6·1 answer
  • What is 9% of 7200? To find out, first determine 1% of 7200. What is 1% of 7200?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!