Which two products can add to find 9 times 4?

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.

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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:

[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]

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hope it helps...

have a great day!!

Answer:

X=4

Step-by-step explanation:

30x+5=31x+1

x=4

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:

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:

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:

A

Step-by-step explanation:

Radius = 3.25

Base = πr² = π(3.25)²

Height = 12

Volume = Bh = π(3.25)²(12)

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: 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:

1,156 I think that’s right

Step-by-step explanation:

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:

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:

value of a=90-24=66

value of b=90+66=156

value of c,

c-18=24

c=24+18=42

Answer:

x= 21/16

Step-by-step explanation:

-3x+7--19x=28

-3x+19x=28-7

16×=21

×=21/16

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:

c 8 inches

Step-by-step explanation:

Answer:

the correct answer is D 175

Answer:

[tex]x=144[/tex]

Step-by-step explanation:

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

Answer:

5381.6

Step-by-step explanation:

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

[tex] = 5381.6[/tex]

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:

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:

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:

m 2 = 33 degrees

m 4 = 24.555

Step-by-step explanation:

3/33 = (2) 5 - 1

35.44329 - 5 (4) = 3.8

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°

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Answer:

they reflected over the y axis instead of the x.