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2 years ago

Whats the answer????

Mathematics

1 answer:

Citrus2011 [14]2 years ago

5 0

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).

so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?

I see for example (0, -6) and (4, -7).

to go from the first to the second point :

x changes by +4 units (from 0 to 4).

y changes by -1 unit (from -6 to -7).

the slope a is therefore -1/4.

and the first point i picked gives us also automatically the y-intercept (-6).

so, the line equation is

y = (-1/4)x - 6

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Is 3/12 equivalent to 1/4?

il63 [147K]

For this question you should know that you can multiply both number in 1/4 by 3 and you will have:
1*3 / 4*3 = 3/12
so the answer is yes they are equivalent :)))
i hope this is helpful
have a nice day

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3 years ago

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The equal symbol with the wave meat "is Congeruent to"

Strike441 [17]

Answer:

angle 5 is 61°

angle 7 is 61°

Step-by-step explanation:

1. angle 7 + angle 8 = 90° Because they are complementary angles

2. Because of point 1 above, angle 5 + angle 6 = 90°

3. since given angle 6 = 29°

so, angle 5 = 90° - 29° = 61°

4. since given angle 5 = angle 8

so, angle 8 = 61°

5. from point 1 above,

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so angle 7 = 29°

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3 years ago

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What

Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = heights of 18-year-old men.

So, X ~ Normal( $\mu=68,\sigma^{2} =3^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean height = 68 inches

$\sigma$ = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

P(X > 65 inches) = P( $\frac{X-\mu}{\sigma}$ > $\frac{65-68}{3}$ ) = P(Z > -1) = P(Z < 1)

= 0.8413

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

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3 years ago

Given the function (x) - 9x+8, evaluate w(5).

Maru [420]

W(5)
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3 years ago

A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace

Arada [10]

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

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2 years ago

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