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4 years ago

11.

Mathematics

1 answer:

Gnom [1K]4 years ago

3 0

Answer:

A) -3/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Write equation

12x + 8y = -6

Step 2: Write in slope-intercept form

Subtract 12x on both sides: 8y = -12x - 6
Divide both sides by 8: y = -3/2x - 3/4

Step 3: Find slope

<em>Slope of a parallel line always has the same slope of the original line.</em>

m = -3/2 (Original)

m = -3/2 (Parallel)

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Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t

Sever21 [200]

Answer:

$P(A\ n\ B) = 0.557$

Step-by-step explanation:

Given

$P(A) = 0.78$

$P(B) = 0.65$

$P(A\ u\ B) = 0.873$

Required

Determine $P(A\ n\ B)$

From laws of probability, we have:

$P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)$

Substitute in values

$P(A\ n\ B) = 0.78 + 0.65 - 0.873$

$P(A\ n\ B) = 0.557$

Hence, $P(A\ n\ B)$ <em> is calculated to be 0.557</em>

8 0

3 years ago

36.75 divided by 7.5

Tomtit [17]

I attached a photo of the work.

If you have any further questions feel free to ask.

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6 0

3 years ago

Need help with it asap you need to show your work

lawyer [7]

Answer:

the correct answer is 21

Step-by-step explanation:

5+3×3(2)-2

5+18-2

=21

4 0

3 years ago

Henry can mow an acre in 2 hours. Mitzi can mow an acre in 4 hours. How long would it take them to mow 30 acres?

shusha [124]

Answer:

Step-by-step explanation:

Henry will take 2/3 or 20 acres and Mitzi will take 1/3 or 10 acres. Leading to it taking 40 hours.

8 0

3 years ago

For real number a, which of the following equations are true ? Select all that apply.

trapecia [35]

ANSWER

$\lim_{x \to \: a}(x) = a$

$\lim_{x \to \: a}(a) = a$

$\lim_{x \to \: 5}(x) = 5$

EXPLANATION

For real number 'a',

$\lim_{x \to \: a}(x) = a$

is true because we have to plug in 'a' for x.

$\lim_{x \to \: a}(a) = a$

This is also true because limit of a constant is the constant.

$\lim_{x \to \: 5}(4) = 5$

is false. The correct value is

$\lim_{x \to \: 5}(4) =4$

$\lim_{x \to \: 5}(x) = 5$

is also true because we have to substitute 5 for x.

$\lim_{x \to \: a}(a) = x$

is also false

The limit should be

$\lim_{x \to \: a}(a) = a$

3 0

3 years ago