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Aleonysh [2.5K]
3 years ago
9

Problem 11. (3 pt) [MBB2012, Ex. 4.46, p. 150, Dice] An experiment consists of tossing a single die and observing the number of

dots that show on the upper face. Events A, B, and C are defined as follows: (A:) Observe a number less than 4 (B:) Observe a number less than or equal to 2 (C:) Observe a number greater than 3 Find the probabilities associated with the events below using either the simple event approach or the rules and definitions from this section. (a) S (b) A|B (c) B (d) A ∩ B ∩ C (e) A ∩ B (f) A ∩ C (g) B ∩ C (h) A ∪ B (i) B ∪ C .

Mathematics
1 answer:
dybincka [34]3 years ago
5 0
Hope this helps, let me know if it doesn't make sense

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Factor completely 4x4 − 24x3 + 36x2.
ipn [44]

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

4(x^4 - 6x^3 + 9x^2)

Next, you can see that you're able to take out x^2

4x^2(x^2 - 6x + 9)

You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

(x+3)^2 or (x-3)^2

Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9

This would turn the now factored equation into :

4x^2(x-3)^2 or 4x^2(x-3)(x-3), this means the answer is A

6 0
3 years ago
A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes. Supp
riadik2000 [5.3K]

Answer:

H_0:\mu =45\\\\H_a:\mu\geq 45

Step-by-step explanation:

Since we have given that

A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes.

Since we need to carry out a hypothesis test whether he can refute the claim.

We always take the alternate hypothesis such that it should satisfy the given statement.

And the null hypothesis can be equal to mean or other than that is given in alternate hypothesis.

So, hypothesis :

H_0:\mu =45\\\\H_a:\mu\geq 45

5 0
3 years ago
Below are monthly rents paid by 30 students who live off campus.
Hatshy [7]
What is the question
6 0
1 year ago
Which functions are symmetric with respect to the y axis<br>​
Inessa05 [86]

Answer:

A, B, and D

Step-by-step explanation:

Only the functions that have x by itself between the absolute value signs (A, B, and D) are symmetric with respect to the y-axis .

Placing a constant outside the absolute value signs moves the function up or down the y-axis but retains the symmetry.

Adding a constant inside the absolute value signs (as in C and E) moves the axis of symmetry to the left or right of the y-axis.

In the diagram, both A and B are symmetric with respect to the y-axis, but C has been shifted three units to the left.

4 0
3 years ago
Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate
KengaRu [80]

Answer: $97.524

Step-by-step explanation:

First let's calculate the price after the tax rate:

converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)

Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524

6 0
3 years ago
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