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Rudiy27
3 years ago
5

Given that events A and B are independent with P(A) = 0.65 and

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

0.80

Step-by-step explanation:

For independent events:

P(A and B) = P(A) P(B)

0.52 = 0.65 P(B)

P(B) = 0.80

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Simplyfy this complex fraction. <br> 5/6 divided by 1 1/4
andre [41]

Answer:

2/3

all you have to do is make 1 1/4 an improper fraction and then use the keep change flip method.

8 0
4 years ago
How much money is a $210 increased by 40%
KengaRu [80]
When you increase something by 40%, multiply the something by 1.4

210*1.4=294

The answer is $294

Hope this helps!
8 0
3 years ago
Read 2 more answers
The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a car's fuel efficiency for a
Lisa [10]

Answer:

a) In the interval of [1980,1983].

b) In the interval of [1991, 1996].

Step-by-step explanation:

Fuel efficiency:

The fuel efficiency, for the cars, in x years after 1980, is given by:

E(x) = 0.36x + 15.9

15.9 is the fuel efficiency in 1980.

a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?

From 1980 to:

E(x) < 17

0.36x + 15.9 < 17

0.36x < 1.1

x < \frac{1.1}{0.36}

x < 3.06

3.06 = 1980 + 3 = 1983. So

In the interval of [1980,1983].

b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

From x until 1996.

E(x) > 20

0.36x + 15.9 > 20

0.36x > 4.1

x > \frac{4.1}{0.36}

x > 11.38

11.38 = 1980 + 11 = 1991. So

In the interval of [1991, 1996].

4 0
3 years ago
A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.
Anon25 [30]

Answer:

y = -7x+4

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = -7x+b

We have a point to substitute in for x and y

-3 = -7(1) +b

-3 = -7+b

Add 7 to each side

-3+7 =b

4 =b

We can substitute this back into

y = -7x+b

y = -7x+4

5 0
3 years ago
Read 2 more answers
3(2x + 1 ) = 2(x + 1) + 1
SpyIntel [72]

3(2x+1)=2(x+1)+1

Step 1:Simplify both sides of the equation

(3)(2x)+(3)(1)=(2)(x)+(2)(1)+ -(distribute)

6x+3=2x+2+1

6x+3=(2x)+(2+1) -(Combine Like Terms)

6x+3=2x+3

Step 2: Subtract 2x from both sides

6x+3-2x=2x+3-2x

4x+3-3=3-3

4x÷4=0÷4

x=0

5 0
3 years ago
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