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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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What was the distance of the ship from its starting point
tresset_1 [31]
A^2+B^2=C^2
18^2+80^2=C^2
324+6400=C^2
6724=C^2
*Squareroot*
82=C
8 0
3 years ago
I need to find the volume for number 10
kumpel [21]

Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.


x^2 + 9.5^2 = 19.3^2

x^2 + 90.25 = 372.49

x^2 = 372.49 - 90.25

x^2 = 282.24

x = √282.24

x = 16.8


Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h

r = 1/2 the diameter = 16.8/2 = 8.4

using 3.14 for pi

Volume = 3.14 * 8.4^2 * 9.5

V = 3.14 * 70.56 * 9.5

v = 3.14 * 670.32

v = 2104.8 cubic meters


5 0
3 years ago
Sam inherits $250,000, which he invests at a rate of 9% compounded annually. How much will Sam's investment be worth in 25 years
Murljashka [212]

Answer:

the amount that should be worth in 25 years is $2,155,770

Step-by-step explanation:

The computation of the amount that should be worth in 25 years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years  

= $250,000 × (1 + 0.09)^25

= $250,000 × 1.09^25

= $2,155,770

Hence, the amount that should be worth in 25 years is $2,155,770

7 0
3 years ago
A shopkeeper purchased 60 pencil boxes for 4.500 and sold at the rate of 4.125 for 50 pencil boxes. How
VARVARA [1.3K]

Answer: 10%

Step-by-step explanation:

Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:

= 4500 / 60

= 85 per pencil box

If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:

= 4125 / 50

= 82.50 per pencil box.

Therefore the percentage profit will be:

= Gain / Cost price × 100

= (82.50 - 75) / 75 × 100

= 7.5/75 × 100

= 10%

8 0
3 years ago
A mother had a girl named Mia when she was 18. Four years later, when she was twenty two, she had triplets. Then a year later, a
dexar [7]
She was 22 when she had triplets
so if the triplets are 12 then just add 
22+12=34
or when she had Mia she was 18
if Mia is 16 then add
18+16=34
Also, she had another child at 23
if the child is 11 then add
23+11=34
Hope it helps! :)
3 0
3 years ago
Read 2 more answers
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