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Anika [276]
2 years ago
5

Which of the following number sentences illustrates the associative property of multiplication?

Mathematics
1 answer:
Mila [183]2 years ago
5 0
The correct answer is c :)
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Spencer is asked to factor the polynomial 256x^4y^2−y^2 completely over the integers. His work is shown below.
mr Goodwill [35]

Answer:

Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.

Step-by-step explanation:

<u>Step 1:  Factor</u>

256x^4y^2−y^2

y^2(256x^4 - 1)

y^2(16x^2 - 1)(16x^2 + 1)

<em>y^2(</em><em>4x + 1)(4x - 1</em><em>)(16x^2 + 1)</em>

<em />

Answer:  Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.

7 0
3 years ago
Read 2 more answers
In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the
andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

4 0
3 years ago
Math - Use unit conversion factor to convert the units.
nlexa [21]

Answer: 240 minutes, 20 cups, 4000 pounds

<u>Step-by-step explanation:</u>

Use the following conversions:

1 hour = 60 minutes

2 cups = 1 pint

2 pints = 1 quart

1 ton = 2000 pounds

4\ hours\times \dfrac{60\ minutes}{1\ hour}=\large\boxed{240\ minutes}\\\\\\\\5\ quarts \times \dfrac{2\ pints}{1\ quart}\times \dfrac{2\ cups}{1\ pint}=\large\boxed{20\ cups}\\\\\\\\2\ tons\times \dfrac{2000\ pounds}{1\ ton}=\large\boxed{4000\ pounds}

8 0
3 years ago
I will give brainilest
S_A_V [24]
Answer 19:1

Work:
Students scoring above 80 -
9+18+72+15= 114

Students score exactly 80-
6

114/6 = 19

19 students scored above 80 for every 1 student that scored exactly 80.
3 0
3 years ago
Please help with this question, thank you
Semmy [17]
Remark
The key step is just to subtract 5 from both sides. The pointed of the inequality still points away from the variable and towards the number. As long as that remains true, the correct answer can be found.

Solution
2.7 ≤ b + 5  Subtract 5 from both sides.
2.7 - 5 ≤ b
- 2.3 ≤ b      Write with the variable on the left.
b ≥ - 2.3  <<<< answer  
6 0
3 years ago
Read 2 more answers
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