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3 years ago

How do I find x by using the square root property?

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

X^2=-80 divided by 8 both sides
X^2 =80i^2 (do you remember i^2=-1)
X=4i(square roof of 5)

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1) Given P(A) = 0.3 and P(B) = 0.5, do the following.

Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

$P(A) = 0.3$ and $P(B) = 0.5$

Let us learn about a formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)$

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

$P(A\ and\ B)$ = $P(A \cap B)$ = 0

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}$

(b) P(A and B) = 0.2

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}$

*************************************

1) Given

$P(A) = 0.4$ and $P(B) = 0.2$

Let us learn about a formula:

$P(A\ and\ B) = P(B) \times P(A/B)$ for dependent events

$P(A\ and\ B) = P(A) \times P(B)$ for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

$P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}$

(b) $P(A / B) = 0.7$

Using above formula:

$P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}$

6 0

3 years ago

Solve -3x + 12 = x – 4<br><br> Show your work

jeka94

Answer:

Step-by-step explanation:

-3x +12 =x-4

+3x

12 = 4x -4

16 = 4x

Divide by 4

4 = x

3 0

3 years ago

Read 2 more answers

Choose the most appropriate name for the function described below. The postage required to mail a box depends on its weight

Stells [14]

Answer:

Postage(weight) or p(w)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

6. Find the product:<br> (x² + 8x - 3)(x + 1)

olga_2 [115]

Answer:

x^3+9x^2-3x^2-3

Step-by-step explanation:

You can use a various of methods but when you use the box method you multiply each separately.

Like you would multiply x² by x, 8x by x, -3 by x (thats the first row)

x² by 1, 8x by 1, -3 by 1 ( for the second row)

Then you get those final variables and combine like terms getting the answer above

8 0

3 years ago

What is the measure of L in

kolezko [41]

Use trigonometry to find L.

Tangent = opposite over adjacent on any right triangle.

tan(L) = 18/23

Take the inverse on both sides.

arctan(tan(L)) = arctan(18/23)

L = 38.0470425318

L = 38.05°

Done.

6 0

3 years ago