This is a tricky question as for me. But I think, I'd go with <span>C) The distance from the number "a" to 0 on a number line can be represented by the absolute value of a number "a." As it's sounds better in practical way.</span>

5 0

4 years ago

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

larisa [96]

Answer:

y = - 6x - 57

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 9, - 3) into the partial equation

- 3 = 54 + c ⇒ c = - 3 - 54 = - 57

y = - 6x - 57 ← equation of line

4 0

3 years ago

What do you call when two lines on a graph do not intersect on a point?

strojnjashka [21]

Answer:

parallel

Step-by-step explanation:

3 0

3 years ago

The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan

Alexxx [7]

Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

$P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})$

As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

= 0.0228

5 0

3 years ago