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2 years ago

Which property does each equation demonstrate

Mathematics

1 answer:

sveticcg [70]2 years ago

7 0

Answer:

Step-by-step explanation:

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PLEASE HELP ASAP!!!

Dimas [21]

Step-by-step explanation:

5x^2+2x=1

5x^2+2x-1=0

x=-b+/-√b^2-4ac÷2a

x=-2+/-√-2^2-(4×5×-1)÷2×5

x=-2+/+√4--20÷10

x=-2+/-√24÷10

x=-2+√24÷10 or -2-√24÷10

x=-2+4.9÷10 or -2-4.9÷10

x=2.9÷10 or -6.9÷10

x=0.29 or -0.69

4 0

3 years ago

Read 2 more answers

A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

2 years ago

3. The perimeter of a rectangular playing field is 504 yards. The area of the

Len [333]

The perimeter is twice the sum of the length and the width:

$P = 2(w+l)$

The area is the product of the dimensions:

$A = wl$

So, the system is

$\begin{cases}w+l=504\\w\cdot l=14276\end{cases}$

4 0

3 years ago

Identify the vertex, the axis of symmetry and the y intercept of the parabola below.<br>please.

solmaris [256]

1,2 cause of the o and y axis

8 0

3 years ago

Read 2 more answers

Based on a poll, among adults who regret getting tattoos, 1212% say that they were too young when they got their tattoos. Ass

photoshop1234 [79]

Answer:

0.3165

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adults sampled = 9

x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0

p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12

q = probability of failure = 1 - p = 1 - 0.12 = 0.88

P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰

P(X=0) = 0.31647838183 = 0.3165

Hope this Helps!!!

7 0

3 years ago