MATHEMATICS MIDDLE SCHOOL

The Corner Cafe recently served 16 pastries, including 2 bran muffins. What is the experimental probability that the next pastry served will be a bran muffin?Write your answer as a fraction or whole number.
P(bran muffin) =

Answers

Answer 1
Answer:

Answer:

P = 2/16 This is based on 14/16 chance that the next pastry will be something else.

Step-by-step explanation:

We can also expand and say P= 2/16 = 1/8

Not P= 7/8

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Lea says that (f°g)(x)=(g°f)(x). Do you agree with her or not? Explain.

Answers

Answer with explanation:

             No, Lea is incorrect.

" The composition of two functions may be different if they are taken in different orders "

For example:

If,

f(x)=x+2

and

g(x)=x^2

Then,

(fog)(x)=f(g(x))\n\n(fog)(x)=f(x^2)\n\n(fog)(x)=x^2+2

Also,

(gof)(x)=g(f(x))\n\n(gof)(x)=g(x+2)\n\n(gof)(x)=(x+2)^2\n\n(gof)(x)=x^2+4x+4

Now, we know that (gof)(x) and (fog)(x) will not be equal for all the values of x.

They will be equal only for x= -1/2

( Since,

x^2+2=x^2+4x+4\n\n2=4x+4\n\n4x=2-4\n\n4x=-2\n\nx=(-2)/(4)\n\nx=(-1)/(2)
No, because you substitute differently in both so they are not equal.

A new energy drink advertises 106 calories for 8oz. How many calories are in 12oz of the drink?

Answers

12oz of the drink contains 159oz of calories.

To Calculate How many calories are in 12oz of the drink

A new energy drink advertises 106 calories for 8oz.

Based on the given conditions, formulate: 12*(106/8)

=12*(13.25)=159

Calories are in 12oz of the drink is 159oz

To learn more about How to Calculate calories refer:brainly.com/question/18428918

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The ratio between 12 and 8 is 12/8 so you multiply 106 by that. 106*12/8=159

3. figure below, made of 1 cm cubes, has a volume of 5 cubic centimeters Joyce says that the a. Explain her mistake. alto the figure above.

Answers

the only way I can see a mistake is if there is a cube under the cube that's 1 up. If so, then it should be 6 cubic cm's.

Martina hits a volleyball ball upward with an initial velocity of 13 meters/sec. When she hits the ball, it is one meter above the ground. How long will it take the ball to hit the ground?

Answers

the ball will take 6.5 seconds to hit the ground

Final answer:

The question from the student is about time airborne for a volleyball hit upwards with an initial velocity. A physics equation of motion is utilized to solve it by inserting the values and extracting time.

Explanation:

The subject of the question is physics, specifically the subtopic of kinematics in terms of upward motion. The problem can be solved by using the equation of motion: `y = y0 + v0 * t - 0.5 * g * t²`, where y0 is the initial height, v0 is initial velocity, g is the acceleration due to gravity and t is the time taken. In this situation:

  • y0 is 1 meter (the starting height of the ball).
  • v0 is 13 m/s (the initial upward velocity of the ball).
  • g is approximately 9.8 m/s² (the acceleration due to gravity).

Set y (the final position) to 0 (ground level), and solve for t (time taken):

0 = 1m + (13 m/s) * t - 0.5 * (9.8 m/s²) * t²

Solving this quadratic equation, we get two solutions as the time cannot be negative for this context, so choose the positive value as the time taken for the ball to hit the ground. This will give the duration the volleyball remains in the air after being hit by Martina.

Learn more about Projectile Motion here:

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What is the product of 3/5×4/9 written in simplest form? a.1/2
b.4/5
c.4/15
d.7/15

Answers

Alright ill try to make this simple,

First lets Do the Equation 3/5 x 4/9 = 12/45

Now Let's Simplify 12/45 Simplified is 4/15


Your answer would be C. 4/15

Can you please explain how you did it

Answers

Answer:

205

Step-by-step explanation:

10 1/4 *20=(10*4+1)/4 *20=41*20/4=41*5=205

the rule is...... a b/c=(a*c+b)/c

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