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4 years ago

15

Twenty eight children attend the birthday party. If each child gets 10 party favors and there are 70 favors in each box , how ma

ny boxes should Raymond buy?

1 answer:

storchak [24]4 years ago

4 0

So you will do 28 children * 10 favors and get 280 party favors then take that and decide by 70 you get 4 boxes

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3. It is predicted that by 2050, there will be 1010 people living on Earth. At that time, it is

Anuta_ua [19.1K]

Answer:

about 1.0019802

Step-by-step explanation:

it is correct use the calculator.

8 0

4 years ago

Two integers a and b, have a product of 24. What's the least they can be?

xxTIMURxx [149]

Well think, 24= 8x4 right? So, 2 can go into 24 which=12 so lets divide.
24÷2= 12
12÷2=6
6÷2=3
3 is the smallest we can get so can 3 go into 24? yes, so 8 times
so the smallest they can be are 8*3 and you cant reduce 8 anymore because of the three once one gets the smallest they both do. hope this helped.

8 0

4 years ago

Assume that 13% of people are left-handed. If we select 10 people at random, answer the following questions:

Anastasy [175]

Answer:

0.099, 0.969,0.87,8.3.1.063

Step-by-step explanation:

Let X be the left handed people in the sample of 10 people selected.

X is binomial with n=10 and p = 0.13

a) the probability that there are exactly 3 lefties in the group

= $P(x=3) = 10C3 (0.13)^3 (0.87)^7\\= 0.09945\\=0.099$

b) the probability that there are at least 3 lefties in the group

= $P(X\geq 3) =0.9687\\=0.969$

Now Y number of right handers is binomial with n =10 and p = 0.87

c) the expected number of right-handers in the group.

$=E(Y) = np\\= 10(0.83)\\=8.3$

d) the standard deviation of the number of right-handers in the group

= $\sigma Y = \sqrt{npq} \\=1.063485\\=1.063$

5 0

3 years ago

If polynomial p(x) is divided by x + 4, the quotient is x^2-7x+34-144/x+4. Which of the following must be true?

Ber [7]

Answer:

B. P(-4)=-144

Step-by-step explanation:

From the question, we have that:

$\frac{p(x)}{x + 4} = {x}^{2} - 7x + 34 - \frac{144}{x + 4}$

This implies that:

$p(x)=(x + 4)( {x}^{2} - 7x + 34) - 144$

To find p(-4), we put x=-4

$p( - 4)=( - 4+ 4)( {( - 4)}^{2} - 7 \times - 4 + 34) - 144$

$p( - 4)=( 0)( {( - 4)}^{2} - 7 \times - 4 + 34) - 144 = - 144$

To find p(0), we put x=0 to get:

$p( 0)=( 0+ 4)( {( 0)}^{2} - 7 \times 0+ 34) - 144$

$p( 0)=(4)( 34) - 144 = - 8$

The correct answer is B

6 0

3 years ago

Factorize:<br>(2a - b)² - (a - 2b)²

bagirrra123 [75]

Answer:

3(a - b)(a + b)

Step-by-step explanation:

Factorize: (2a - b)² - (a - 2b)²

Different of Perfect a Square rule: a² - b² = (a + b)(a - b)

(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]

1. Distribute and Simplify:

Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)

Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)

We now have:

(3a - 3b)(a + b)

2. Factor out the Greatest Common Factor (3) from 3a - 3b:

(3a - 3b) → 3(a - b)

3. Add "(a + b)" back into your factored expression:

3(a - b)(a + b)

Hope this helps!

7 0

2 years ago

Read 2 more answers