Graph the solutions of the inequality on a number line. Describe the solution to the inequality. c ≤ -2

Mathematics

1 answer:

g100num [7]3 years ago

8 0

Answer:

The inequality is 2 ≤ x < 8.

A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.

The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.

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Suppose a box contains a double-headed coin, a double-tailed coin, and a conventional coin. A coin is picked at random and flipp

notsponge [240]

Answer:

P(D|A)=0.666

Step-by-step explanation:

We will use the tree diagram to understand these probabilities that is attached to the bottom of this answer.

Since there are three coins in the box, the probability of taking one in particular (the double-headed one, which is event D) is one third, which is equal to 0.333

Since the coin showed heads, the probability of it being a double-tailed coin is zero.

The Bayes theorem says that P(D|A) is the multiplication of P(D) and P(A), divided the probability of A happening by any means, happening D or not, which is the sum of all probabilities of A happening:

$P(D|A)=\frac{P(D)*P(A_1)}{P(D)*P(A_1)+P(E)*P(A_2)} =\frac{0.333*1}{0.333*1+0.333*0.5}=0.666$

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3 years ago

2. Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The len

yan [13]

(A) Find the value of x. Round to the nearest tenth of a degree
Given that the distance of the ground is 9ft.
Length of the plank is 41 ft

In order to get the angle formed between the ground and the foot of the plank,

cos (theta) = ground / plank
cos (theta) = 9 / 41
cos (theta) = 0.21951...
theta = cos^-1(0.21951...)
theta = 77.3 degrees

(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
Height = square root (1600)
Height = 40

(A) 77.1 Degrees
(B) 40 feet

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3 years ago

What fraction of a liter is 270 mL?

dybincka [34]

A liter is equal to 1,000 mL
Meaning, the fraction would be $\frac{270}{1000}$