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3 years ago

a sprinter increases the speed from 0 meters per second to 9 meters per second in 2 seconds. what is the acceleration

Mathematics

1 answer:

mote1985 [20]3 years ago

4 0

Answer:

The acceleration is

$4.5 {ms}^{ - 2}$

Step-by-step explanation:

Use the equation of motion,

$v = u + at$

where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.

We substitute the values into the equation and solve for the acceleration, a

$9 = 0 + a(2)$

This means that;

$9 = 2a$

Divide both sides by 2 to get:

$a = \frac{9}{2}$

$a = 4.5 {ms}^{ - 2}$

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Assume that when adults with smartphones are randomly selected,41 % use them in meetings or classes. If 5 adult smartphone use

kotegsom [21]

Answer:

0.345

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 5, r = 2, p = 0.41, and q = 0.59.

P = ₅C₂ (0.41)² (0.59)⁵⁻²

P = 0.345

3 0

4 years ago

A worde that place before a nawe<br>or pronden in a sentence

bulgar [2K]

Answer:

Prepositions

Step-by-step explanation:

Prepositions are usually used in front of nouns or pronouns and they show the relationship between the noun or pronoun and other words in a sentence

6 0

3 years ago

Divide square root 9^2 by square root 18y^2

Klio2033 [76]

I got y^2/2

My Solution:

√9^2/18 · y^2

= 1/2 y^2

Multiply Fractions: a · (b/c) = (a · b)/c

1·y^2/2

=y^2/2

Hope I helped,
Faith xx

6 0

3 years ago

The following table represents the annual sales of a bakery for the last 7 years since the grand opening

Effectus [21]

The table is a linear regression model, and the equation of the regression model is y = 0.24x + 0.77

<h3>The scatter plot that represents the table</h3>

See attachment for the required scatter plot

<h3>The best model of the scatter plot</h3>

From the attached scatter plot, we can see that the points are almost on a straight line

Hence, the best model that fits the scatter plot is a linear model

<h3>The equation of the regression model</h3>

Using a graphing calculator, we have the following calculation summary:

Sum of x = 28
Sum of y = 12.1
Mean X = 4
Mean Y = 1.7286
Sum of squares (SSX) = 28
Sum of products (SP) = 6.7
b = SP/SSX = 6.7/28 = 0.23929
a = MY - bMX = 1.73 - (0.24*4) = 0.77143

The regression equation is represented as:

y = bx + a

So, we have:

y = 0.23929x + 0.77143

Approximate

y = 0.24x + 0.77

Hence, the equation of the regression model is y = 0.24x + 0.77

Read more about regression models at:

brainly.com/question/13345245

#SPJ1

8 0

2 years ago

The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's we

Furkat [3]

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

$b - j = \frac{b}{2}\\\frac{b}{2} - j = 0$

Now we can solve using the process of elimination.

$b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120$

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

$120 + j = 180\\j = 180-120\\j = 60$

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

4 0

3 years ago

Read 2 more answers