What is the approximate volume of the sphere?

Operación 1: (6+(4*12)/12-2)+5

Julli [10]

Answer:

Step-by-step explanation:

6+ (4)(12) /12 −2+5

=6+ 48 /12 −2+5

=6+4−2+5

=10−2+5

=8+5

=13

6 0

3 years ago

Mookie Betts of the Boston Red Sox had the highest batting average for the 2018 Major League Baseball season. His average was 0.

Annette [7]

Answer:

Binomial probability, with $n = 5, p = 0.352$

Step-by-step explanation:

For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

His average was 0.352.

This means that $p = 0.352$

Assume he has five times at bat tonight in the Red Sox-Yankees game.

This means that $n = 5$

a. This is an example of what type of probability

Binomial probability, with $n = 5, p = 0.352$

8 0

3 years ago

What is a-5/245 Don't hate but be truthful and don't cap do this teen boy look good ra-te him plz

Inessa [10]

No if its you sorry I don’t really mean it

8 0

3 years ago

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :<span><span>
z=-1
</span><span>z=2/3
</span></span><span>Step 1 :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

<span>Step 2 :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

</span>For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

<span>Step 3 :</span>Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

<span>Step 4 :</span>Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step 1 :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

<span>Step 2 :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

</span>For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

<span>Step 3 :</span>Solve the Negative Case

      -(3x-4) < 22

     Multiply
      -3x+4 < 22

     Rearrange and Add up
      -3x < 18

     Divide both sides by 3
      -x < 6

     Multiply both sides by (-1)
     Remember to flip the inequality sign
      x > -6
     Which is the solution for the Negative Case

<span>Step 4 :</span>Solve the Positive Case

      (3x-4) < 22

     Rearrange and Add up
      3x < 26

     Divide both sides by 3
      x < (26/3)

     Which is the solution for the Positive Case

<span>Step 5 :</span>Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

3 years ago

I will give lots of points please help

aalyn [17]

Answer:

a) 81π in³

b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

The cake can be modeled as a <u>cylinder </u>with:

diameter = 9 in
height = 4 in

$\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in$

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

$\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}$

$\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}$

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

$\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}$

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

$\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}$

Probability is approximately 10.6% (see above for calculation)

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0

2 years ago