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lesya692 [45]
2 years ago
14

Choose the correct simplification of the expression −4x2(6x − 5x2 − 5). 20x4 24x3 20x2 −9x4 2x3 − 9x2 20x4 − 24x3 20x2 −20x4 24x

3 − 20x2.
Mathematics
2 answers:
dedylja [7]2 years ago
7 0

Answer: 20x4−24x3+20x2

Step-by-step explanation:

when simplifying you first distribute the -4x^2. This will result in -24x^3, 20x^4, and 20x^2

Archy [21]2 years ago
6 0

Answer:

20 x^4 - 24 x^3 + 20 x^2 is the only correct answer however not the best simplification.

Step-by-step explanation:

Simplify the following:

-4 x^2 (-5 x^2 + 6 x - 5)

Hint:  Factor a minus sign out of -5 x^2 + 6 x - 5.

Factor -1 out of -5 x^2 + 6 x - 5:

-4 x^2×(-(5 x^2 - 6 x + 5))

Hint:  Multiply -4 and -1 together.

-4 (-1) = 4:

Answer:  4 x^2 (5 x^2 - 6 x + 5)

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A bowl of Halloween candy has 17 Kit-Kats, 23 Hershey bars, 11 Starbursts, and 14 Skittles packets.
gladu [14]

Answer:

a.) 8/13 = 0.6154.

b) 11/65 = 0.1692

c.) 0.0267

d.) 0.0222

Step-by-step explanation:

firstly, we determine total number of candies.

17 kit kat(K)+ 23 hershey(H) + 11 starburst(B) + 14 skittles(S) = 65 candies.

Since, Probability = favourable outcome / possible outcome.

With replacement,

a.) probability of chocolate candy (kitkat or hershey) = 17/65 or 23/65

= 17/65 + 23/65

=40/65 = 8/13

b.) probability of selecting a starburst = 11/65

When without replacement:,

c) 2 kit kats, 1 skittles as first three picks and one chocolate candy as the last pick, = [KKSK], [KSKK], [SKKK], [KKSH], [KSKH], [SKKH]

[(17/65 * 16/64 * 14/63 * 15/62) × 3] + [(17/65 * 16/64 * 14/63 * 23/62) ×3]

Note: first bracket and fourth brackets are multiplied by 3 because the value of the first bracket is same for the first three brackets and the second three brackets also have the same values.

Re:chocolate candy means either KitKat or Hershey.

=[(51720/16248960) × 3] + [(87584/16248960) ×3]

=0.0105 +0.0162

= 0.0267.

d.) 1 kitkat, 1 skittles and 1 hershey as first 3 picks and one Starburst as the last pick.

= [KSHB], [KHSB], [SKHB], [SHKB], [HKSB], [HSKB]

= [(17/65 * 14/64 * 23/63 * 11/62) × 6]

note: multiplied by 6 because we will have the same value for all 6 brackets

= 60214/16248960 * 6

= 0.0222.

5 0
3 years ago
Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,
mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

 E[X] = \frac{\textup{1+2+3+4+5+6}}{\textup{6}}

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}

or

E[X²] = \frac{1+4+9+16+25+36}{\textup{6}}

or

E[X²] = \frac{91}{\textup{6}}

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0
3 years ago
5x+14=k for x <br> Solve this problem
Nimfa-mama [501]
I think it's ×=2.5 or it's x=1 or it's x= 19
5 0
3 years ago
A restaurantis planning to make changes to its menu. In order to decide which potential menu items are most popular with the cit
Alex

Answer:

Simple random sampling survey method

Step-by-step explanation:

A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.

In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process

6 0
3 years ago
Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr
kari74 [83]

Answer:

295 minutes

Step-by-step explanation:

It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.

Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.

Time taken to drink 2/7 of a cup = 1 hour = 60 minutes

Time taken to drink 1 cup = \frac{60}{2/7}=210 minutes

Time taken to drink 1+17/42 cups = 210\times1\frac{17}{42}=295 minutes

Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.

5 0
3 years ago
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