Which of the following is not a Pythagorean triple?
O A. (5, 12, 13)
O B. (6, 8, 10)
O C. (9, 12, 15)
O D. (4,6,7)
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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Someone plz help me
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
does anybody know the answer??
What is the probability of choosing a queen, a king or an ace from a standard deck of playing cards??
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 :))
Roediger and Karpicke (2006) investigated whether the test-enhanced learning effect (the demonstration that repeated testing improves memory for material) was due merely to repeated exposure to material. They randomly assigned participants to one of two study conditions (study-study or study-test) and to one of three retention interval conditions (final test at a delay of 5 minutes, 2 days, or 1 week). The dependent variable was the proportion of idea units recalled from an encyclopedia passage. How many cells does this study have
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
#3 Find the r and the surface area
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
Drag each amount to the correct location on the expression
Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900 for 7 days.
Complete the expression to find Joana's average daily balance.
750
1,000
900
30
850
90
) + 10(
) + 71
)
) + 4
( )
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:
Point F is on the line CD. Find the measure of angle CFE
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".
Adjacent angles:Its common side and vertex will be shared by the adjacent angles.If the total of two angles equals 180°, they are said to be supplementary angles.A linear pair is created when two additional angles are next to one another. 180° is equal to the sum of two adjacent supplementary 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:
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where did i make a mistake?
Answer:
they reflected over the y axis instead of the x.
how can you use the structure of a two way frequency table to complete it
solve this the link is down below
Herman joins three of his friends at the movies. They decide to share a jumbo box of popcorn to save money. A jumbo box is twelve inches on all sides. What is the volume of a jumbo box of popcorn?
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
please help me please
Answer:
x= 21/16
Step-by-step explanation:
-3x+7--19x=28
-3x+19x=28-7
16×=21
×=21/16
a circle is drawn in a coordinate plane centered at (8,15) and a radius of 3 units.
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
1. If it takes 56 square inches of paper to wrap a label around a can of soup that is 7 inches tall, how far
is it around the can?
A.6 inches
inches
B. 10 inches
C. 8 inches
D. 9 inches
Answer:
c 8 inches
Step-by-step explanation:
CAN ANYONE TELL ME HOW TO DO THIS???
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.
-4/9x-5/72x+1/8x= -56 please help me guys
Answer:
[tex]x=144[/tex]
Step-by-step explanation:
Therefore, [tex]x=144[/tex] should be your final answer.
3. Sohail needs to take a 4-day loan of $750 000 for his small business. How much interest will he need to pay if
interest is charged at 2.2% per year, simple interest?
a. $90.41
b. $542.47
d. $180.82
c. $361.64
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
The cost to rent a surfboard at the beach is $10.25 an hour plus an insurance fee of $25. Keith spent $55.75 when renting a surfboard on a recent trip to the beach. For how many hours did Keith rent the surfboard?
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
help me figure out this question please
Answer:
A
Step-by-step explanation:
Radius = 3.25
Base = πr² = π(3.25)²
Height = 12
Volume = Bh = π(3.25)²(12)
6x^3 +8x^2 -4x = factor this problem
Pease help this is due sopn
Answer:
value of a=90-24=66
value of b=90+66=156
value of c,
c-18=24
c=24+18=42
WILL MARK BRAINLIEST
Let Events A and B be described as follows:
P(A) = doing yard work
P(B) = it raining
The probability that it will rain this weekend is 68% The probability of doing yard work this weekend and it raining is15%. If the probability of doing yard work is 53%, are doing yard work and it raining independent?
hi! please help i’ll give brainliest
Answer:
A because the river is fastest at that shore
Step-by-step explanation:
Help pls guy I love you that was along time it since I just want to review
The Slow Ball Challenge or The Fast Ball Challenge.
The Slow Ball Challenge: There will be 7 pitches, each at 60 mph. Diego estimates
that he will hit each individual pitch 80% of the time. If Diego can hit all 7 pitches, he
will win a total of $60; otherwise he will lose $10.
The Fast Ball Challenge: There will be 3 pitches, each at 90 mph. Diego estimates
that he will hit each individual pitch 70% of the time. If Diego can hit all 3 pitches, he
will win a total of $60; otherwise he will lose $10.
Which challenge should he choose?
Fast: 4.68
Slow: 4.68
Fast: 14.01
Slow: 14.01
G
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.
Please help! I will mark brainliest.
Answer:
the correct answer is D 175
help me brainlist !!!!!
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.
Add the following values.
(2.1 × 1016) + (3.2 × 1015)
Answer:
5381.6
Step-by-step explanation:
[tex](2.1 × 1016) + (3.2 × 1015)[/tex]
[tex] = 5381.6[/tex]
MAth problem
Need help asap please
Answer:
m 2 = 33 degrees
m 4 = 24.555
Step-by-step explanation:
3/33 = (2) 5 - 1
35.44329 - 5 (4) = 3.8