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3 years ago

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Dan must do homework for 1/2 of an hour and clean his room for 1/3 of an hour before he can play. What faction of an hour must D

an do homework and clean before he can play

1 answer:

zloy xaker [14]3 years ago

4 0

Answer:

50 minutes

Step-by-step explanation:

1/2 hour = 30 minutes

1/3 hour = 20 minutes

30 + 20 = 50 minutes

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Assume that the car lot contains 40 percent BMWs, 25 percent Volvos, and 35 percent Jaguars. Of the BMWs, 90 percent have naviga

sveticcg [70]

Answer:

The required probability is 0.4098.

Step-by-step explanation:

Consider the provided information.

According to conditional probability that A occurs , given B has occurred.

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Assume that the car lot contains 40 percent BMWs, 25 percent Volvos, and 35 percent Jaguars.

Pr(BMWs)=0.40

Pr(Volvos)=0.25

Pr(Jaguars)=0.35

Of the BMWs, 90 percent have navigation systems, 30 percent of the Volvos have navigation systems, and 50 percent of the Jaguars have navigation systems.

Pr(Navigation | BMWs)=0. 90

Pr(Navigation l Volvos)=0.30

Pr(Navigation l Jaguars)=0.50

Total cars with navigation system = 0.40×0.90+0.25×0.30+0.35×0.50

=0.36+0.075+0.175=0.61

Pr(Not Bmw l Navigation system) = $\frac{0.25\times0.30+0.35\times0.50}{0.61}\approx0.4098$

Hence, the required probability is 0.4098.

6 0

3 years ago

What is the relationship between the following ordered pairs 0,6 2,5 4,4 and 6,3 keep in mind it will be a two step process

aliya0001 [1]

Find the first rate of change...

(5-6)/(2-0)=(4-5)/(4-2)=(3-4)/6-4)=-1/2

So this equation has a constant velocity which means that it is linear and can be expressed as y=mx+b where m=slope=velocity and b=y-intercept, value of y when x=0...we saw earlier that the velocity or slope is -1/2 so:

y=-x/2+b, and we can use any point to solve for b, I'll use (6,3)

3=-6/3+b

3=-2+b

b=5

So the relationship if the function:

y=-x/2+5 or more neatly...

y=(10-x)/2

5 0

3 years ago

The number 0.4 can be written as 4/10 so it’s a rational number, true or false

kondaur [170]

Answer:

True

Step-by-step explanation:

6 0

3 years ago

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The function p(x) is an odd degree polynomial with a negative leading coefficient. If q(x) = x3 + 5x2 - 9x - 45, which statement

saul85 [17]

Answer:

As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity.

Step-by-step explanation:

The order of the polynomial and the sign of the leading coefficient will let us find the correct answer easily,

If you get a negative number (such as negative infinity) and you take it to an odd power, (for example 3), you will still get a negative number.

As q(x) has a positive leading coefficient, this means that as x approaches negative infinity, q(x) will approach too negative infinity.

Since p(x) has an odd degree, but negative leading coefficient,

(-)*(-) = +

And this means that p(x) approaches positive infinity

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3 years ago

Each Saturday, a store reduces the price of any unsold item by

Maksim231197 [3]

Answer:

8 dollars

Step-by-step explanation:

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3 years ago