The ordered pair (5, __ ) is the linear relation with equation y = -2x + 8. Find the missing number in the ordered pair.

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.

Step-by-step explanation:

Answer:

A because the river is fastest at that shore

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:

A(n) isometry is a mapping that does not change the size of the original figure.

Answer:

Isometry

Step-by-step explanation:

Isometry is a mapping that does not change the size of the original figure.

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: Keith spent 3 hours renting the surfboard.

Step-by-step explanation:

h=hour

10.25h+25=55.75

55.75-25= 30.75

30.75/10.25= 3

and if you want to check you can do

10.25(3)+25=

which would equal to 55.75

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:

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:

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:

If you are finding the volume the answer is (3x4)x4

Step-by-step explanation:

Formula for the volume of a rectangular prism is length times width times height

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:

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:

y=8

Step-by-step explanation:

the sum of the three angles is 180

57 + 90 + 5y-7 = 180

5y + 140 = 180

5y = 40

y = 8

Answer:

value of a=90-24=66

value of b=90+66=156

value of c,

c-18=24

c=24+18=42

Answer: rectangle not sure tho

Step-by-step explanation:

Answer:

Step-by-step explanation:

i chose B:square, i out in the points and that what shape came up. srry if im wrong

Answer:

A

Step-by-step explanation:

Radius = 3.25

Base = πr² = π(3.25)²

Height = 12

Volume = Bh = π(3.25)²(12)

Answer:

r will be half of your diameter so 11 divided by 2 = 5.5 is your new radius.

To find surface area we use the basic formula:

4πr^2

4 x 3.14 x 30.25(radius squared, 5.5 x 5.5 = 30.25) = 379.94 ft^2 is your surface area

Answer:

(x - 8)² + (y - 15)² = 9

Step-by-step explanation:

Assuming you want the equation.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (8, 15 ) and r = 3 , then

(x - 8)² + (y - 15)² = 9

Answer:

[tex]x=144[/tex]

Step-by-step explanation:

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

Option D is correct, the  pair (4,6,7) is not a Pythagorean triple

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy this theorem (a² + b² = c²).

Checking each of the given options, we have:

A. (5, 12, 13):

5² + 12² = 25 + 144 = 169 = 13². This is a Pythagorean triple.

B. (6, 8, 10):

6² + 8² = 36 + 64 = 100 = 10². This is also a Pythagorean triple.

C. (9, 12, 15):

9² + 12² = 81 + 144 = 225 = 15². This is a Pythagorean triple.

D. (4, 6, 7):

4² + 6² = 16 + 36 = 52 ≠ 7². This is not a Pythagorean triple.

To learn more on trigonometry click:

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Here are the ways that you can find an equivalent fraction:

Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

Answer:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

Step-by-step explanation:

Answer:

x= 21/16

Step-by-step explanation:

-3x+7--19x=28

-3x+19x=28-7

16×=21

×=21/16

Answer:

c 8 inches

Step-by-step explanation: