How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST

3. If P (A) = 0.2 and P (B) = 0.3 and A and B are disjoint, what is P (A or B)?

Hitman42 [59]

Answer: The calculations are below.

Step-by-step explanation: The calculations are as follows:

(3) Given that for two events A and B,

$P(A)=0.2,~~P(B)=0.3,~~P(A\cup B)=?$

Since A and B are disjoint, so

$A\cap B=\phi~~~~~\Rightarrow P(A\cap B)=0.$

From the law of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.2+0.3-0=0.50.$

Thus, the correct option is (E) 0.50.

(4) Given that a fair six-sided die is rolled. We are to find the probability that an odd number is rolled.

Let, 'A' be event of rolling an odd number. So,

A = {1, 3, 5} ⇒ n(A) = 3.

Let 'S' be the sample space for the experiment. So,

S = {1, 2, 3, 4, 5, 6} ⇒ n(S) = 6.

Therefore, the probability of rolling an odd number is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{6}=\dfrac{1}{2}.$

Thus, the correct option is (D) $\dfrac{1}{2}.$

(5) Given that there are 3 red marbles, 4 white marbles, and 1 green marble in a bag and marbles are drawn without replacement.

So, the probability that 3 marbles can be drawn without drawing the green marble is given by

$P=\dfrac{7}{8}\times \dfrac{6}{7}\times \dfrac{5}{6}=\dfrac{5}{8}=0.625.$

Thus, the correct option is (A) 0.625.

(6) The sample space for rolling a six-sided die is {1, 2, 3, 4, 5, 6}

and the sample space for tossing a coin is {H, T}.

Therefore, the sample space for rolling a six-sided die and tossing a coin will be

S = {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

Thus, the correct option is {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

(7) Given that for two events A and B,

$P(A)=0.2,~~P(B)=0.3,~~~P(A\cup B) =?$

Since A and B are independent but not necessarily disjoint, so

$P(A\cap B)=P(A)\times P(B)=0.2\times 0.3=0.06.$

From the law of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.2+0.3-0.06=0.5-0.06=0.44.$

Thus, the correct option is (C) 0.44.

(8) Given that three coins are tossed.

The sample space for each of them is S = {1, 2, 3, 4, 5, 6}.

The equally likely outcomes when three coins are tossed together are

{(1, 1 , 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5), (6, 6, 6)}.

So, the total number of equally likely outcomes = 6.

Thus, the correct option is (C) 6.

Hence all the questions are answered.

7 0

3 years ago

What is the range of the function<br> f(x) = = 3x + 2 in the domain -2

djyliett [7]

Answer:

The range is:

{-4, 1, 2, 5, 8}

Step-by-step explanation:

Given the function

$f(x)=3x+2$

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the domain interval -2 ≤ x ≤ 2

i.e. the values in the domain = {-2, -1, 0, 1, 2}

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

As the domain interval -2 ≤ x ≤ 2

Putting all the x-values in the domain interval in the function

so

putting x=-2 in the function

$f(x)=3x+2$

$f(-2)=3(-2)+2=-6+2=-4$

putting x=-1 in the function

$f(x)=3x+2$

$f(-1)=3(-1)+2=-3+2=1$

putting x=0 in the function

$f(x)=3x+2$

$f(0)=3(0)+2=0+2=2$

putting x=1 in the function

$f(x)=3x+2$

$f(1)=3(1)+2=3+2=5$

putting x=2 in the function

$f(x)=3x+2$

$f(2)=3(2)+2=6+2=8$

Thus, when we put the domain values, the corresponding range values are:

x y

-2 -4

-1 1

0 2

1 5

2 8

Therefore, the range is:

{-4, 1, 2, 5, 8}

8 0

3 years ago

A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function V(

irga5000 [103]

$1,400. Hope it helps!!

8 0

3 years ago

Read 2 more answers

Write a compound inequality that represents the following scenario:

Inessa05 [86]

The compound inequality that represents the two following scenarios are:

65 < f ≤ 4
8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

a free single scoop cone = f

The age group of individuals designated to receive the free single scoop cones is:

people who are older than 65 i.e. > 65
children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

65 < f ≤ 4

On Tuesdays, the least amount of flavors = 8
The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus, the compound inequality that is appropriate to express both conditions is:

Least amount of flavors ≤ f ≤ total amount of flavors
8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

65 < f ≤ 4
8 ≤ f ≤ 12

Learn more about compound inequality here:

brainly.com/question/24540195?referrer=searchResults

6 0

2 years ago

Which angle is supplementary to 65 degrees

Alexeev081 [22]

Answer:

115°

Step-by-step explanation:

Supplementary angles equal 180.

180-65=115°

6 0

3 years ago

Read 2 more answers

How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST ​

How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST