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Find the Volume of the Sphere. Use 3.14 for pi. Round your answer to the nearest whole number.

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

[tex]Pitches = 7[/tex]

[tex]P(Hit) = 80\%[/tex]

[tex]Win = \$60[/tex]

[tex]Lost = \$10[/tex]

Fast Ball Challenge

[tex]Pitches = 3[/tex]

[tex]P(Hit) = 70\%[/tex]

[tex]Win = \$60[/tex]

[tex]Lost = \$10[/tex]

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]

Where

[tex]n = 7[/tex] --- pitches

[tex]x = 7[/tex] --- all hits

[tex]p = 80\% = 0.80[/tex] --- probability of hit

So, we have:

[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]

[tex]P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}[/tex]

[tex]P(7) =1 * 0.80^7 * (1 - 0.80)^0[/tex]

[tex]P(7) =1 * 0.80^7 * 0.20^0[/tex]

Using a calculator:

[tex]P(7) =0.2097152[/tex] --- This is the probability that he wins

i.e.

[tex]P(Win) =0.2097152[/tex]

The probability that he lose is:

[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule

[tex]P(Lose) = 1 -0.2097152[/tex]

[tex]P(Lose) = 0.7902848[/tex]

The expected value is then calculated as:

[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]

[tex]Expected = 0.2097152 * \$60 + 0.7902848 * \$10[/tex]

Using a calculator, we have:

[tex]Expected = \$20.48576[/tex]

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]

Where

[tex]n = 3[/tex] --- pitches

[tex]x = 3[/tex] --- all hits

[tex]p = 70\% = 0.70[/tex] --- probability of hit

So, we have:

[tex]P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}[/tex]

[tex]P(3) =1 * 0.70^3 * (1 - 0.70)^0[/tex]

[tex]P(3) =1 * 0.70^3 * 0.30^0[/tex]

Using a calculator:

[tex]P(3) =0.343[/tex] --- This is the probability that he wins

i.e.

[tex]P(Win) =0.343[/tex]

The probability that he lose is:

[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule

[tex]P(Lose) = 1 - 0.343[/tex]

[tex]P(Lose) = 0.657[/tex]

The expected value is then calculated as:

[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]

[tex]Expected = 0.343 * \$60 + 0.657 * \$10[/tex]

Using a calculator, we have:

[tex]Expected = \$27.15[/tex]

So, we have:

[tex]Expected = \$20.48576[/tex] -- Slow ball

[tex]Expected = \$27.15[/tex] --- Fast ball

The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.

Answer:

x= 21/16

Step-by-step explanation:

-3x+7--19x=28

-3x+19x=28-7

16×=21

×=21/16

Answer:

[tex]C)~2~in[/tex]

Step-by-step explanation:

[tex]v=4/3 \pi r^3[/tex]

[tex]4=4/3~\pi r^3[/tex]

[tex]12/4\pi =r^3[/tex]

[tex]\sqrt{3/\pi } =\sqrt{r^3}[/tex]

[tex]0.977=r[/tex]

[tex]D=2r[/tex]

[tex]D=2(0.977)[/tex]

[tex]D=1.9544~orD=2~in[/tex]

--------------------------------

hope it helps...

have a great day!!

Answer:

[tex]x=144[/tex]

Step-by-step explanation:

Therefore, [tex]x=144[/tex] should be your final answer.

The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

The function is given as:

H(t) = 12sin(2π/24t) + 15

When the weight is 17kg.

It means that:

H(t) = 17

So, we have:

H(t) = 12sin(2π/24t) + 15 and H(t) = 17

Next, we solve for t using a graphing calculator

From the graph of h(t), we have:

t = 0.64, 11.36, 24.64...... when h(t) = 17

The second time in the above list is

t = 11.36

Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

Read more about sine function at:

https://brainly.com/question/9565966

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Answer:

the correct answer is D 175

Answer:

Average daily balance ≈ $873

Step-by-step explanation:

We are told the balance were;

$1,000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for 7 days

Thus;

Average = ΣFx/Σx

Where ΣFx = (1000 × 9) + (750 × 10) + (850 × 4) + (900 × 7)

ΣFx = $26,200

Σx = 9 + 10 + 4 + 7

Σx = 30

Thus;

Average daily balance = 26200/30

Average daily balance ≈ $873

Answer:

9(1,000) + 10(750) +4(850) + 7(900)

                          (30)

Step-by-step explanation:

Answer:

Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.

Step-by-step explanation:

Answer:

m 2 = 33 degrees

m 4 = 24.555

Step-by-step explanation:

3/33 = (2) 5 - 1

35.44329 - 5 (4) = 3.8

Answer:

X=4

Step-by-step explanation:

30x+5=31x+1

x=4

Answer:

1,156 I think that’s right

Step-by-step explanation:

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

Answer:

they reflected over the y axis instead of the x.

Answer:

8.3units

Step-by-step explanation:

formula 2πr × x/360

where x= angle of sector

therefore

2× 22/7 × 14 × 34/360 = 8.3

Answer:

180.82

Step-by-step explanation:

750,000 x .022=16,500 per year

16,500/365 days =45.2055/day

45.2055 x 4 days = 180.82

Answer:

108

Step-by-step explanation:

A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.

Answer:

Every number will have a 0 or 5 in its ones place

Step-by-step explanation:

Answer:

D. Every number in the pattern will have a 0 or 5 in the ones place

Step-by-step explanation:

the next to numbers are 50,25 so all numbers have 0 in the ones place except for 25 which has a 5.

Answer:

3/13

Step-by-step explanation:

There are 52 cards in a regular deck.

Among these are 4 each of K, Q and A, for a total of 12.

The probability of choosing a K, Q or A is therefore 12/52, or 3/13

Answer:

the first one 3/13 for sure :))

Answer:

140 liters

Step-by-step explanation:

Felicia pours 34 out of 212 liters of chlorine solution into a swimming pool

= 212-34

= 178 liters

He uses 38 liters out of the remaining solution to clean the pool filter

178-38

= 140

Hence what is left is 140 liters

Answer:

$4.25

Step-by-step explanation:

Let price of drink be x

price of tub y

You have 4x+2y=32.5 (1) and

x = y -3.5                 (2)

Plug for x from (2) into (1):

4(y-3.5) + 2y = 32.5

4y -14 +2y = 32.5

6y = 14+32.5

y = (46.5)/6 = $7.75 the price of tub

x= y-3.5 = 7.75 - 3.5 = $4.25

Answer:

5381.6

Step-by-step explanation:

[tex](2.1 × 1016) + (3.2 × 1015)[/tex]

[tex] = 5381.6[/tex]

Answer:

6 cells

Step-by-step explanation:

2 by 3  between groups ANOVA will be performed where independent variables are 2 and dependent variables are 3.There are total 6 cells

                               Independent Var 1            Independent Var 2

Dependent Var 1           1*1                                        1*2

D. VAr 2                         2*1                                       2*2  

D. Var 3                           3*1                                   3*2

There are total six cells.

                                Study-Study                     Study-Test

5 minutes,                1*1                                        1*2

2 days,                    2*1                                       2*2  

 1 week                    3*1                                       3*2

Answer: there are 8 girls is Lisa’s class

Step-by-step explanation:

Answer:

There are 8 girls in Lisa's class because 60% of 20 is 12 so the other 40% is the remaining number of students since you took away twelve and set it aside  since it is the 60% . 12 plus 8 equals twenty and twenty students equals 100% percent.

Step-by-step explanation:

Answer:

value of a=90-24=66

value of b=90+66=156

value of c,

c-18=24

c=24+18=42

Answer:

∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°

∠ CFE + 152° = 180° ( subtract 152° from both sides )

∠ CFE = 28°

Step-by-step explanation:

Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".

We have,

∠ EFD = 152°

∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°

⇒ ∠CFE + ∠EFD = 180° (Linear pair)

⇒ ∠CFE +152° = 180°

⇒ ∠CFE= 180°-152°

⇒ ∠CFE= 28°

Find out more about the adjacent angles here:

brainly.com/question/12838185

Answer:

graphs help present data in a quick and easy way, take out the most important facts and and help them be easily remembered. Graphs can be used to help make a buget. They can also help you when you are doing a presentation or report. Or even when you need to make a hard decision.

This is what I did hopefully this helps :))