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Yuliya22 [10]
3 years ago
7

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance 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. What is the probability that the land has oil and the test predicts it? Show solution.
Mathematics
1 answer:
inn [45]3 years ago
7 0
P ( A ) = 0.45  - probability that the land has oil,
P ( B ) = 0.8   - probability that the test predicts it
P ( A ∩ B ) = P ( A ) · P ( B ) = 0.45 · 0.8  = 0.36
Answer: The probability that the land has oil and the test predicts it is 36 %. 
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For a birthday party Mr. Perkins or do you eat chocolate chip cookies and 16 sugar cookies each cookie is the same price he also
Ilya [14]

Question is not proper, Proper question is given below;

For a birthday party, Mr. Perkins orders 8 chocolate chip cookies and 16 sugar cookies. Each cookie is the same price. He also picks up a cupcake for himself, which costs $2.75. The total bill is $44.03. What is the cost of a cookie?

Answer:

The Cost of the cookie will be $1.72.

Step-by-step explanation:

Given:

Mr Perkins orders 8 chocolate chip cookies and 16 sugar cookies.

Since cost of both the cookies are same then Let us assume the cost of cookies be 'x'.

Total cost of the cookies = (8 + 16)x = 24x

Cost of Cup cakes = $2.75.

Total bill he pays = $44.03

We need to find the cost of each cookies.

Now we know that Total bill he pays is equal to sum of Cost of cookies and Cost of Cup cakes he bought.

Framing in equation form we get;

44.03 = 24x + 2.75

Now Subtracting both side by 2.75 using Subtraction property we get;

2.75+24x-2.75 = 44.03 - 2.75\\\\24x = 41.28

Now Dividing both side by 24 using Division property we get;

\frac{24x}{24} = \frac{41.28}{24}\\\\x=1.72

Hence The Cost of the cookie will be $1.72.

6 0
3 years ago
Deonte invested 200000at his bank for 10 years if he earned 130000 what was the interest rate the bank gave him
Volgvan

<u>Answer:</u>

The interest rate the bank gave Deonte is 6.5%.

<u>Solution:</u>

Given, Deonte invested 200000 at his bank for 10 years  

He earned 130000  

We have to find what was the interest rate the bank gave him.

Now we know that, simple interest =\frac{\text {amount} \times \text {rate} \times \text {time}}{100}

So, by substituting our values in above formula,

130000=\frac{200000 \times \text { rate } \times 10}{100}

Interest rate \times 20000 = 130000

Interest rate \times 2 = 13

\text { Interest rate }=\frac{13}{2}=6.5 \%

Hence, the interest rate given by bank is 6.5% to Deonte.

8 0
3 years ago
If y=2x- 3, find the value of y when x=2
Ira Lisetskai [31]

y = 2x - 3

y = 2 * 2 - 3

y = 4 - 3

y = 1

3 0
3 years ago
Bugs Bunny charges $13 to baby sit for the first hour, and then charges $3 for every
Klio2033 [76]

Answer:

6 hours

Step-by-step explanation:

both will equal $31 at 6 hours

4 0
3 years ago
Read 2 more answers
Need help with this math problem
Dmitrij [34]

Answer:

So the value of u is 24 degree.

Step-by-step explanation:

Given;

Three angle 2u , (u+18) degree and 90 degree in a Triangle.

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3u=180-90-18

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u=24

∴ The value of u is [tex]24[\tex] degree.

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