Mike wants to find the volume of 4 basketballs. If each basketball has a radius of 4.5
in, what would the volume of 4 basketballs be?

Answer:

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Jury of 90 people:

This means that [tex]n = 90[/tex]

27% were minorities.

This means that [tex]p = 0.27[/tex]

Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.

This is:

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]

[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]

[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]

[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]

[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]

[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]

[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]

[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]

So

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Answer:

x² - x - 2 = 0

Step-by-step explanation:

Given:

- 4(x - x²) = 8

Find:

Standards form

Computation:

- 4(x - x²) = 8

(x - x²) = -2

x - x² = -2

x² - x - 2 = 0

Answer:

-170.6666667

Step-by-step explanation:

hope this helps

Answer:

x = - 4, y = - 1

Step-by-step explanation:

Given the 2 equations

3x + 7y = - 19 → (1)

7x - 4y = - 24 → (2)

Multiplying (1) by 4 and (2) by 7 , then adding will eliminate the y- term

12x + 28y = - 76 → (3)

49x - 28y = - 168 → (4)

Add (3) and (4) term by term to eliminate x

61x + 0 = - 244

61x = - 244 ( divide both sides by 61 )

x = - 4

Substitute x = - 4 into either of the 2 equations and solve for y

Substituting into (1)

3(- 4) + 7y = - 19

- 12 + 7y = - 19 ( add 12 to both sides )

7y = - 7 ( divide both sides by 7 )

y = - 1

9514 1404 393

Answer:

  b = 32

Step-by-step explanation:

The law of sines tells you ...

  b = a·sin(B)/sin(A)

  b = 14·sin(75°)/sin(25°) ≈ 31.998

  b ≈ 32 . . . . units

Answer:

(47.3, 54.1)

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{10.4}{\sqrt{35}} = 3.4[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3

The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1

The answer is (47.3, 54.1).

Answer:

radius = 51.70 cm

Step-by-step explanation:

Volume = (2/3) π r³

Volume = 92160 π

Radius = ?

Using the above formula

V = (2/3) π r³

r³ = v/((2/3) π)

r³ = ((92160 π) x 3) / (2 x π)

r³ = 276480/2 because (π/π) = 1

r³ = 138240

Taking cube root on both sides

r = 51.70 cm

Answer:

xa^2

Step-by-step explanation:

I thought about it for a bit and came up with this:

if you expand a^(b+2) it becomes a^b * a^2

so replace a^b with x.

xa^2

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2

Explanation:

Remember Rise/Run

1/2

So if they went "Run" 4 units

then the equivalent to 1/2 is 2/4

Therefore the value of a is 2!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Yes, all four-sided figures are parallelogram.

Answer:

(8,-2)

Step-by-step explanation:

270 counterclockwise is the same as 90 clockwise. Rotate on a graph.

Answer:

The answer is x = 5

Step-by-step explanation:

1) Remove parentheses.

[tex]x - 4 - 1[/tex]

2) Add 4 to both sides.

[tex]x = 1 + 4[/tex]

3) Simplify 1 + 4 to 5.

[tex]x = 5[/tex]

Therefor, the answer is x = 5.

Answer:

X = 5

Step-by-step explanation:

This is an example of a basic algebraic equation! The explanation is below

[tex](x-4)=1\\x-4=1\\x-4+4=1+4\\x=5[/tex]

Above, we simply removed the parenthesis, added four to both sides in order to cancel out "-4", and ended up with 5 = x. We know we are correct because 5 minus 4, really does equal one!

#SpreadTheLove

Answer:

Undefined or no values (assuming no negative zero)

Step-by-step explanation:

The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.

Answer:

3

Step-by-step explanation:

15 - 12 = 3

12 + 3 = 15

15 - 3 = 12

Answer:16

Step-by-step explanation:

well if your asking the space from one athinther there it is

Answer:

96 dozen (or/aka) 1152 cupcakes

Step-by-step explanation:

I hope this is right, if not I'm very sorry just bad at math.

Answer:

if u carry the 7 by7 by 7 by 2 with devizon

Answer:

The answer is 4x^2y^4y^3 simplified to 4x^2y^7

Step-by-step explanation:

Answer:

If y varies directly as x, and x = 9 when y = 15, find y when

x = 33

Step-by-step explanation:

Answer:

14g x (2-3r)

Step-by-step explanation:

Answer:

Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Step-by-step explanation:

Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:

Phil: 4 - 1/4 = 3/4 = 0.75

Darren: 7 - 3/7 = 4/7 = 0.57

Alice: 8 - 1/8 = 7/8 = 0.875

Smooth: 5 - 1/5 = 4/5 = 0.8

Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

9514 1404 393

Answer:

  158,000

Step-by-step explanation:

Using the given square feet for x in the equation, we have ...

  y = 0.071×1483 +52.48 = 157.773

We presume this is supposed to represent the estimated value of the house in thousands.

The fair price is estimated to be 158,000.

Answer:

y = 5x

y = amount of money all the friends spent.

x = cost of burgers, a bottle of apple juice, and a bag of chips all together

Step-by-step explanation:

Ion know which all apply but okay?

hmm, how many cubes are there?

length times width times height

we have 6 cubes long, 6 wide and 6 tall

6*6*6=216 cubes

each is 1 cubic feet

216 times 1=216

216 cubic feet

A is answer

Answer:

first, dilate triangle ABC with respect to the origin by scale factor of 2.

then rotate it 90 degrees counterclockwise about the origin

Step-by-step explanation:

Answer:

Answer: It´s correlated. Step-by-step explanation: The graph shows that the height of the tree increases as time passes, meaning that the more time that a three has been planted the more height it has, so there´s a direct correlation between the time passing and the height of the tree.

Answer:

C

Step-by-step explanation:

Answer:\A) x > 10

Step-by-step explanation:

Hope this helps!!