A magazine conducted a survey among its readers in a certain state. They reported the following results:

Mathematics

1 answer:

STALIN [3.7K]3 years ago

6 0

Answer:

The answer is "0.695 and 0.305".

Step-by-step explanation:

Please find the attached file of the given question:

From question a:

$\text{P(Either married, or a college graduate, or a professional)} \\\\=\frac{(312+143+188+191)}{1200}\\ \\ =\frac{834}{1200}\\\\=0.695$

From question b:

$\text{P( Neither married, nor a college graduate, nor a professional )}\\\\=\frac{366}{1200} \\\\=0.305$

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5.6-|-5.6+11.2| please help

Leona [35]

Answer:

Step-by-step explanation:

step 1 : -5.6+11.2 = 5.6

step 2 : modulus of a positive number is the number itself ⇒ 5.6

step 3 : 5.6-5.6 = 0

5 0

3 years ago

In the parallelogram ABCD, LaTeX: m\angle A=2x+50 m ∠ A = 2 x + 50 and LaTeX: m\angle C=3x+40 m ∠ C = 3 x + 40 . The measure of

Lisa [10]

Answer:
x = 10

Explanation:
In a parallelogram, each two opposite angles are equal in measure.

In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that the measures of these two angles are equal.

Therefore:
∠A = ∠C
2x + 50 = 3x + 40
50 - 40 = 3x - 2x
x = 10

We can check:
angle A = 2(10) + 50 = 70°
angle C = 3(10) + 40 = 70°
They are equal

Hope this helps :)