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irinina [24]
3 years ago
9

What is the predicted difference in sleep between individuals A and B, where individual A has 12 years of education and works 20

00 minutes a week and individual B has 16 years of education and works 3000 minutes a week. Show your work.
Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer: The predicted difference in sleep is 1251437 minutes.

Step-by-step explanation:

Since we have given that

Number of years of education = 12 years

Number of minutes a week = 2000

As we have

In case of individual A:

7 days = 2000 minutes

1 year = 365 days = \dfrac{2000}{7}\times 365=104285

12 years = 104285\times 12=1251420\ minutes

In case of individual B:

7 days = 3000 minutes

1 year = 365 days = \dfrac{3000}{7}\times 365=156428

16 years = 156428\times 16=2502857 minutes

So, the predicted difference in sleep between individuals A and B is given by

2502857-1251420\\\\=1251437\ minutes

Hence, the predicted difference in sleep is 1251437 minutes.

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pav-90 [236]

Answer: False

=============================================

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

  • a = 10
  • b = -5
  • c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

6 0
2 years ago
Hi whats the answer<br> √548
harkovskaia [24]
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6 0
3 years ago
Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).
erastovalidia [21]

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

(2x^2y^6z^5)(5x^4y^5z^3)

Simplify the given expression.

(2x^2y^6z^5)\times (5x^4y^5z^3)

(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)

10x^{2+4}y^{6+5}z^{5+3}                  [\because x^mx^n=x^{m+n}]

10x^6y^{11}z^8

Therefore correct option is 4.

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mrs_skeptik [129]

Answer:

248 with remainder 5

Step-by-step explanation:

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2 years ago
12. Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks b
Ghella [55]

Answer:

The number of ways are 40320.

Step-by-step explanation:

Consider the provided information.

Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.

We need to determine the number of different ways to put eight cookbooks on the shelf.

We need to select 8 cookbooks taking 8 at a time.

So use the permutation formula: ^{n}P_{n}

Substitute n=8 and simplify.

^8P_8=\frac{8!}{(8-8)!}\\8!=40320

Hence, the number of ways are 40320.

6 0
3 years ago
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