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2 years ago

Which of the following scenarios MUST represent two independent events?

Mathematics

1 answer:

egoroff_w [7]2 years ago

7 0

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

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Let me know if you can see the expression if not I will just type it.

faltersainse [42]

Answer:

-15x+24

Step-by-step explanation:

You can write that as:

$(-6x+36)-(12x-3x+12)\\-6x+36-12x+3x-12\\-15x+24$

8 0

3 years ago

What is 2x times x squared?

tresset_1 [31]

We want to multiply the monomial $2x$ by the monomial $2x^2$ .

Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: $(a^m)(a^n)=a^{m+n}$ , $(x^2)(x^4)=x^{2+4}=x^6$ . Also, is worth pointing out that the exponent of a variable with no exponent is 1: $x=x^1$ .

Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so $x=1x$ . Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.

Let's apply all of that to our multiplication:

$(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3$

We can conclude that 2x times x squared is 2x cubed.

3 0

4 years ago

Read 2 more answers

Help help help help me pleaseeeeeeeee

kobusy [5.1K]

The ticket price which will maximize the student's council is: C. $3.10.

<h3>What is price?</h3>

Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.

Based on the information provided about Valley High School student council, we can logically deduce the following data:

Total number of students = 420 students.

Lowest ticket price = $2.00.

Increase in ticket price = $0.20.

Attendance = 20 fewer students

<h3>How to determine the ticket price?</h3>

Mathematically, the equation which model the profit is given by:

Profit = price × number of tickets sold

P(x) = (2 + 0.2x)(420 - 20x)

P(x) = 840 + 84x - 40x - 4x²

P(x) = -4x² + 44x + 840.

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -44/2(-4)

Xmax = -44/-8.

Xmax = 5.5

Ticket price for maximum profit is given by:

Ticket price = 2 + 0.2x

Ticket price = 2 + 0.2(5.5)

Ticket price = $3.10.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

8 0

2 years ago

The archway to the entrance of an art gallery can be model by y= -1/3(x-5)(x+5) where x and y are measured in feet. The x-axis r

NikAS [45]

Answer:

x=5 feet

Step-by-step explanation:

At floor level y=0

If the expression is:

$0=1/3(x-5)(x+5)\\0=1/3(x^2-25)\\0=1/3x^2-25/3\\25/3=1/3x^2\\25=x^2\\x=5$

But, with the negative sign, the answer is x= 5i (where i is imaginary)

3 0

3 years ago

Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At

Goshia [24]

Answer:

(60 - 4x)(50 + 2x) = 2,800

Step-by-step explanation:

5 0

3 years ago