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OlgaM077 [116]
3 years ago
11

How would you do these questions?

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Step-by-step explanation:

1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)

P(light OR domestic) = 0.62 + 0.70 − 0.55

P(light OR domestic) = 0.77

2. P(light AND not domestic) = P(light) − P(light AND domestic)

P(light AND not domestic) = 0.62 − 0.55

P(light AND not domestic) = 0.07

3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)

P(light GIVEN not domestic) = 0.07 / (1 − 0.70)

P(light GIVEN not domestic) = 0.233

4. Two events are independent if P(A) × P(B) = P(A and B).

P(light) × P(domestic) = 0.62 × 0.70 = 0.434

P(light AND domestic) = 0.55

Therefore, the type and location are not independent.

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Given the function with f(3) = 127 and f(1) = 95, determine the rate of change over the interval 1 <3 <3
Sonbull [250]

Answer:

When we have a function f(x) = y.

The rate of change between a and b (where a < b) is:

R = (f(b) - f(a))/(b - a)

In this case:

b = 3

a = 1

f(3) = 127

f(1) = 95

R = (127 - 95)/(3 - 1) = 16

The rate of change in that interval is 16.

3 0
3 years ago
Grant earns $5 for each magazine he sells.Write an equation in two variables showing the relationship between the number pf maga
slega [8]

Answer:

A=5m

Grant will make $60 from selling 12 magazines.

Step-by-step explanation:

Let m represent number of magazine sold and A represent amount of money earned.

We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is 5m dollars.

Now, we will equate total amount earned by Grant with A as:

A=5m

Therefore, our required equation would be A=5m.

To find the amount earned by Grant by selling 12 magazines, we will substitute m=12 in our equation as:

A=5(12)

A=60

Therefore, Grant will make $60 from selling 12 magazines.

3 0
3 years ago
Factor the expression completely. 6×3- 4×2 – 16x A. 0 B. 2x(3×2 – 2x – 8) C. 2x(3x + 4)(x – 2) D. 4x(2x + 1)(x – 4) E. 2x(2×2 +
Ghella [55]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

That's

2x( 3x² - 2x - 8)

Next Factorize the terms in the bracket

To factorize write - 2x as a difference

that's

2x( 3x² + 4x - 6x - 8)

<u>Factor out x from the expression</u>

2x [ x( 3x + 4) - 6x - 8 ]

<u>Next factor out - 2 from the expression</u>

2x [ x ( 3x + 4) - 2( 3x + 4) ]

<u>Factor out 3x + 4 from the expression</u>

We have the final answer as

<h3>2x( 3x + 4)( x - 2)</h3>

Hope this helps you

4 0
3 years ago
The slope of the line below is -3. Which of the following is the point-slope
Anna71 [15]

Answer:

C.

Step-by-step explanation:

3 0
2 years ago
Add and round to the correct number of significant digits: 13.8 + 60 70 73 73.8 74
LenaWriter [7]
When you add all the number together you get 364.6 round it = 365
Because 6 is > 5
4 0
3 years ago
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