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3 years ago

Simplify − 2 x × 2 x × x

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

-4x^3 (negative four x cubed)

Step-by-step explanation:

-2x X 2x X x

-4x^3

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The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1

Aleksandr-060686 [28]

Answer:

a) The probability that a student has either a Visa card or a MasterCard is 0.71.

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b) In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards is $P(V \cap M)=0.03$

a) Probability that a student has either a Visa card or a Master Card is given by,

$P(V \cup M) = P(V) + P(M) - P(V\cap M)$

$P(V \cup M) = 0.63+ 0.11- 0.03$

$P(V \cup M) =0.74- 0.03$

$P(V \cup M) =0.71$

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if $P(A\cap B)=P(A)P(B)$

For V and M to be independent the condition is satisfied,

$P(V\cap M)=P(V)P(M)$

Substitute the values,

$0.03=0.63\times 0.11$

$0.03\neq 0.0693$

So, V and M are not independent.

6 0

3 years ago

Find an ordered pair that is a solution to the equation.

AveGali [126]

Answer:

$(x,y) = (4,1)$

Step-by-step explanation:

$-4+5\cdot 1 = 5-4 =1$

3 0

2 years ago

Read 2 more answers

Which of the following is correct?

Andru [333]

Answer:

none

Step-by-step explanation:

7 0

3 years ago

Find z of the diagonal triangle. <br> Also, complete b.

STatiana [176]

Answer:

x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.

Total area of wood = 2942.54 cm^2.

Step-by-step explanation:

sin 15 =8/x

x = 8 / sin 15

x = 30.91 cm.

and

tan 15 = 8/y

y = 8 / tan 15

= 29.86 cm.

The value of z can be found using the Pythagoras theorem:

50^2 = x^2 + z^2

z^2 = 20^2 - x^2 = 50^2 - 30.91^2

z^2 = 1554.57

z = √1554.57

= 39.30 cm.

b. The area consists of 3 rectangles :- 1. sides x and z 2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.

Total area = 30.91 * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86

= 2942.54 cm^2.

3 0

4 years ago

20 points to help with this

Vikentia [17]

Answer:

Help what?

Step-by-step explanation:

6 0

3 years ago