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2 years ago

11

The graph shows the distance a ball has traveled x seconds after it was thrown what is the average speed between 2 seconds and 8

seconds

1 answer:

docker41 [41]2 years ago

5 0

Answer:

0.5

Step-by-step explanation:

You might be interested in

At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which wo

nasty-shy [4]

Answer:

Decreased.

Step-by-step explanation:

Decrease means to go down or take away, therefore in a mathematical equation, it would be represented by a negative integer.

Change could be positive or negative

each is a singular description word

and drastically is just describing how fast.

have a good day!

6 0

2 years ago

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00

timama [110]

Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancy of the brand of tire in miles.

µ = mean

σ = standard deviation

From the information given,

µ = 40000 miles

σ = 5000 miles

The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

6 0

2 years ago

The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the pa

prisoha [69]

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

4 0

2 years ago

Elena is feeding her neighbor's dogs each dog gets two thirds cup of dog food and she uses three and one third cups of food how

MrRa [10]

Answer:

Total number of dogs is 5.

Step-by-step explanation:

Cups of food each dog gets= $\frac{2}{3}$

Here,each dog eats two-third cups of dog food.

Amount of dog food used= $\frac{10}{3}$

A total of three and one-third cups of food is used up.

Let the number of dogs be x.

To find the number of dogs,divide total dog food used by the amount of dog food eaten by each dog.

Hence, x = $\frac{\frac{10}{3} }{\frac{2}{3} }$

x = $\frac{10}{2}$

x =5

5 0

2 years ago

Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $

Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

50x+150y=600

x=3y

Solve for y in each equation:

1) 50x+150y=600

150y=−50x+600

y=-1/3x+4

2) x=3y

y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

4 0

2 years ago