All categories

2 years ago

The variable Z is directly proportional to X. When X is 5, Z has the value 55.

Mathematics

1 answer:

LuckyWell [14K]2 years ago

6 0

Z = k * x
55 = k * 5
divide both sides by 5
11 = x

z = 11x

z = 11 * 12
z = 132

You might be interested in

Suppose two events A and B are mutually exclusive, with P(A) ≠ 0 and P(B) ≠ 0. By working through the following steps, you'll se

DanielleElmas [232]

Answer with Step-by-step explanation:

We are given that two events A and B are mutually exclusive.

$A\cap B=\phi$

$P(A\cap B)=0$

$P(A)\neq 0$

$P(B)\neq 0$

a.For mutually exclusive events,

$P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{P(A)}=0$

Therefore, event A can not occurred if event B has occurred because two events can not occur together.

Answer:No, by definition mutually exclusive events cannot occur together.

b.When two events are independent

Then , $P(A\cap B)=P(A)\cdot P(B)$

$P(A/B)=\frac{P(A)\cdot P(B)}{P(B)}=P(A)$

If two events are mutually exclusive then

$P(A\cap B)=0$

Then , $P(A/B)=0$

Therefore, $P(A/B)\neq P(A)$

Hence, we can concluded that events A and B are not independent if they are mutually exclusive.

Answer:Yes, $P(A/B)\neq P(A)$

7 0

2 years ago

PLZ HELP I BEGG U! 100 points

rusak2 [61]

Answer:

Solution given;

l=4.5ft

b=2ft

h=2ft

now

volume=l*b*h=4.5*2*2=18ft³

is a required volume.

Now

total surface area =2(lb+lh+bh)

=2(4.5*2+4.5*2+2*2)=44ft²

is a total surface area.

5 0

2 years ago

Read 2 more answers

Simplify (-x^2 – 28x + 7) + (-7x^2 + 14x + 8).

Anon25 [30]

Add numbers with the same amount of variables

-x^2 + (-7x^2) = -8x^2

– 28x (+ 14x )= -14x

7 (+ 8) = 15

-18x² - 14x + 15 is your answer

hope this helps

6 0

2 years ago

A bag of pecans costs $3.84. If

Stels [109]

Answer:

10.4 cents

Step-by-step explanation:

40 pecans/$3.84 gives you pecans per dollar

6 0

3 years ago

Let X denote the voltage at the output of a microphone, and suppose that X has a uniform distribution on the interval from −1 to

Naya [18.7K]

Answer:

Step-by-step explanation:

Please kindly go through the attached file for a step by step approach to the question.

4 0

3 years ago