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xeze [42]
3 years ago
8

in a survey of 500 high school students, 90% said they liked pizza while 68% said they liked hot dogs and 61% reported liking bo

th. Is liking hot dogs dependent on liking pizza? show how you arrived at your answer
Mathematics
1 answer:
Digiron [165]3 years ago
7 0
Liking hot dogs is not dependent on liking pizza. 68% of those who like hot dogs can also be apart of the 90% of those who like pizza. And of course the 61% who like both are apart of the 68% who like hot dogs as well as the 90% who like pizza.
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PLEASE HELP ME
stiv31 [10]
Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).

I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18

9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)

factor 243 to find a perfect square

x = √(3*81)
x = 9√(3)<u />
5 0
3 years ago
which expression shows 28 +35 as the greatest common factor and the sum of two whole numbers with no common factor A 7(4+5) B 9(
kari74 [83]

the answer is C. because it is the only one that does not contain a common factor :)


3 0
3 years ago
What are the solutions to
Svetllana [295]

Answer:

B and F

Step-by-step explanation:

Given

x² + 4x + 4 = 12 ( subtract 4 from both sides )

x² + 4x = 8

Using the method of completing the square to solve for x

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 8 + 4, that is

(x + 2)² = 12 ( take the square root of both sides )

x + 2 = ± \sqrt{12} ( subtract 2 from both sides )

x = ± \sqrt{12} - 2

  = ± 2\sqrt{3} - 2

Hence

x = 2\sqrt{3} - 2 → B

x = - 2\sqrt{3} - 2 → F

4 0
4 years ago
Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the
Black_prince [1.1K]

Answer:

a)  P(2)=0.270

b) P(X>3)=0.605

c)  P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the  Poisson distribution:

\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}

a)  In this case: \lambda=2.1

P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270

Therefore, the probability is P(2)=0.270.

b)  In this case: \lambda=2\cdot 2.1=4.2

P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605

Therefore, the probability is P(X>3)=0.605.

c)  We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: \lambda=2\cdot 2.1=4.2

P(X\geq 5)=1-P(X

Therefore, the probability is P=0.410.

4 0
3 years ago
How to divide 219 by 3?
Ksju [112]
73 is your answer do 73 time 3,   3*3=9 put the 9 down then 7*3=21 so the answer is 219 which is the number your dividing by. Always times your answer by the number smallest number and if it equals the biggest number in that problem that means your correct. So the answer is 73. Hope this helps.
7 0
3 years ago
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