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3 years ago

Can some one help me with 18

Mathematics

1 answer:

dimulka [17.4K]3 years ago

5 0

Answer:

82.6%

Step-by-step explanation:

Conditional probability is defined as:

P(A|B) = P(A∩B) / P(B)

where P(A|B) is the probability of A on the condition of B, P(A∩B) is the probability of both A and B, and P(B) is the probability of B.

Here, we want P(P|K), so:

P(P|K) = P(P∩K) / P(K)

P(P|K) = 0.019 / 0.023

P(P|K) = 0.826

82.6% of the members in the key club are also enrolled in AP Physics.

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Solve for x.

olga nikolaevna [1]

Answer:

$\boxed{x=5},x=-9$

Step-by-step explanation:

To rid the denominators, multiply both sides by $(x-3)(x+1)$ .

We get:

$6(x+1)-12(x-3)=(x-3)(x+1)$

Simplifying, we have:

$6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0$

Solving, we get:

$x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9$

Therefore, the solution with the greatest value is $x=\boxed{5}$

8 0

3 years ago

I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.

elena-14-01-66 [18.8K]

Hello,

$m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\$

$cos(30^o)=\dfrac{\sqrt{3} }{2} \\$

In the triangle ABC,

$cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\$

$sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}$

In the triangle ACB,

$cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\$

6 0

2 years ago

6 (3x-1)-10x. with work please :)

STatiana [176]

Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x

To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac

Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6

Now, we can take that -10x and put it right back in:

18x - 6 - 10x

Combine like terms and subtract the 10x from the 18x to get:
8x - 6

Hope this helps!

4 0

3 years ago

What are the solutions to the equation?<br>x² + 3x - 54

algol13

Answer:

x = - 9, x = 6

Step-by-step explanation:

Given

x² + 3x - 54

To find the solutions equate to zero

x² + 3x - 54 = 0 ← in standard form

(x + 9)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 6 = 0 ⇒ x = 6

7 0

3 years ago

Read 2 more answers

A sequence of numbers can be found by using the expression 2n + 7. Find the 3rd

xenn [34]

Answer:

2n+7

=2(3)+7

=6+7

=13

2(3)+7=13

7 0

3 years ago