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Gnom [1K]
3 years ago
6

A doctor studies the known cancer patients in a certain town. The probability that a randomly chosen resident has cancer is foun

d to be 0.0019. It is found that 28% of the town works for Ajax Chemical Company. The probability that an employee of Ajax has cancer is equal to 0.0019. Are the events "has cancer" and "works for Ajax" independent of one another?
Yes or No
Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
Let the event 'has cancer' be C, and the event 'works for Ajax' be A.
P(C) = 0.0019. P(A) = 0.28
The events A and C are independent if P(C|A) = P(C).
P(C|A) = 0.0019 = P(C).
Therefore the answer is YES.

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Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a r
Oksi-84 [34.3K]

Answer: The distance across a rectangular field is longer distance.

Step-by-step explanation:

Since we have given that

Dimension of square = 40 yards

So, Dimensions of rectangle are :

Length = 25 yards

Width = 35 yards

So, Perimeter of rectangle would be

2\times (l+b)\\\\=2\times (25+35)\\\\=2\times 60\\\\=120\ yards

Diagonal of square would be

\sqrt{40^2+40^2}\\\\=\sqrt{1600+1600}\\\\=\sqrt{3200}\\\\=56.56\ yards

Hence, the distance across a rectangular field is longer distance.

4 0
3 years ago
Read 2 more answers
Find the slope intercept <br>(9,5),(7,-11)<br>y=​
grin007 [14]

Answer:

y=8x-67

Step-by-step explanation:

So the question is what is the equation for the following two coordinate points?

Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.

With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.

y₂=5

y₁=(-11)

x₂=9

x₁= 7

Now let set it up into the equation of y over x

Slope =  <u> 5- (-11) </u> = <u> 5 + 11  </u> = <u>  16 </u> = 8

                  9-7         9-7          2

So we now have the slope! Which is 8! So put that into the linear equation!

y=8x+b

Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)

(-11) = 8(7) + b

(-11) = 56 + b

<u>-56   -56</u>

-67 =  b

We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!

y=8x-67

6 0
3 years ago
Solve the formula for the perimeter of a rectangle, P = 21 + 2w for l
Phoenix [80]

2(w+l)=21+2w

w+l=10.5+w

So l = 10.5

7 0
3 years ago
1. Mahammed bought 4 boxes of chocolates online. Postage was $10 and the total cost was $58. Let b represent the price of each b
suter [353]

Answer:  $14.5

Step-by-step explanation: you divide 58 by 4 . each box is 14.5. total cost is $68 if you add postage

4 0
2 years ago
3. How much simple interest is earned on $6,000 at an interest rate of 4.25% in 4.5 years?​
Mademuasel [1]

Answer:

It is 6%, as 360 is earned each year.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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