Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than

Answer:

The likelihood of selecting an individual with high blood pressure who is also a runner is 2/3.

Step-by-step explanation:

Based on the data provided:

P( Choosing someone with high blood pressure )  =  0.3

or stated as P(H)  = 0.3

P( Choosing a runner )  =  0.4

or stated as P(R)  = 0.4

Now, P( Selecting a person with high blood pressure as well as being a runner)  = 0.2

⇒ P(H∩ R)  = 0.2

Next, we want to calculate the P(the selected individual is a runner, given they have high blood pressure)

which means we need to determine: P(R/H)

Using BAYES THEOREM:

So, the chance of choosing a person with high blood pressure who is a runner stands at 2/3.

Solution:

Given that

G being the midpoint of FH implies

Additionally, we have

Hence, we can express

Therefore,

*Refer to the image attached below

Answer:

346.4 ft

Step-by-step Explanation:

The distance between the boats, CD = BD - BC

Using trigonometry, find the length of BD in triangle ∆ABD and also calculate the length of BC in triangle ABC.

Length of BD in triangle ABD:

Opposite side to <30° = 300 ft

Adjacent side = BD

Divide both sides by tan(30)

(rounded to nearest tenth)

Length of BC in triangle ABC:

Opposite side to <60° = 300 ft

Adjacent side = BC

Divide both sides by tan(60)

(rounded to nearest tenth)

The distance, CD, between the boats is calculated as BD - BC

= 519.6 - 173.2 = 346.4 ft

Answer:

Contained within.

Step-by-step explanation:

The accurate answer to the question posed is "contained within." This is because it was derived directly from the original text without requiring additional information, analysis, or interpretation in the new document.

The options presented are:

(1) division property of equality

(2) factoring the binomial

(3) completing the square

(4) subtraction property of equality

Response: (2) factoring the binomial

Step 1:

Step 2:

In step 2, 'a' is extracted from . Upon factoring out 'a', we divide all terms by 'a', resulting in .

Step 2 involves the binomial factorization process.