Solve for x<br> -4 = -2/9 x

If a person walks 2.4 miles in 1.5 hours, how far can he walk in 3 hours

rusak2 [61]

since 1.5 is half of 3.0 all ouj havr t o do is multiply by 2 2.4*2=4.8 answer

7 0

3 years ago

What is the third quartile, Q3, of the data represented by the box plot? 0 12.5 20 65 143.75

Ket [755]

It's 65
I'm pretty sure

8 0

3 years ago

Sandy is helping her uncle at this coffee shop. She observes that, when ordering coffee, 13 of customers select chocolate flavor

otez555 [7]

Answer: The probability that 3 or more of the next 5 customers will order chocolate is 30%. 3/10

Sandy conducted her own experiment to answer this question. She observed what groups of 5 customers ordered. In her experiment, 30% of the time at least 3 of the customers ordered chocolate.

The fraction 30% is 3/10.

7 0

3 years ago

Read 2 more answers

Please help! Been stuck on this for hours Solve the inequality. Express your answer in interval form. (If there is no solution,

yawa3891 [41]

Answer:

(-√8, -√6] ∪ [-√2, 0) ∪ (0, √2] ∪ [√6, √8)

Step-by-step explanation:

The inequality resolves into 4 inequalities. There are 4 intervals in the solution.

Starting at the left, for the absolute value argument less than 0:

2 ≤ -(x^2 -4) . . . . . . . for x^2 -4 ≤ 0

2 ≤ -x^2 +4

-2 ≤ -x^2

2 ≥ x^2 . . . . . . . . . . consistent with the above 4 ≥ x^2

-√2 ≤ x ≤ √2 . . . . . square root; may be limited by other constraints

For the absolute value argument greater than 0:

2 ≤ x^2 -4 . . . . . . . for x^2 -4 ≥ 0

6 ≤ x^2 . . . . . . . . . .consistent with x^2 ≥ 4

-√6 ≥ x ∪ x ≤ √6 . . . . take the square root

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The inequality on the right can be written as the compound inequality ...

-4 < x^2 -4 < 4

0 < x^2 < 8 . . . . . add 4

0 < |x| < √8 . . . . take the square root

This resolves to ...

-√8 < x < 0 ∪ 0 < x < √8

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So, the solution set is the set of values of x that satisfy these restrictions on x:

-√2 ≤ x ≤ √2

x ≤ -√6 ∪ x ≤ √6

-√8 < x < 0 ∪ 0 < x < √8

That is a collection of 4 intervals:

(-√8, -√6] ∪ [-√2, 0) ∪ (0, √2] ∪ [√6, √8)

_____

You may be expected to write √8 as 2√2.

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These intervals are the portions of the red curve that lie between the two horizontal lines. The points on the upper (dashed) line are not part of the solution set. The points on the lower (solid) line are part of the solution set.