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nydimaria [60]
3 years ago
7

Evaluate the algebraic expressions, and put their values in order from least (1) to greatest (4), for a = 2 and b = 5 1. 50 − b2

+ a 2. a2(5 − b) 3. b2 − 10 4. a(b − 3)
ill give brainiest to first answer

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

0

4

15

27

Step-by-step explanation:

a) The first expression is

50-b^2+a

When a=2 and b=5, we get

50 -  {(5)}^{2}  + 2 = 50 - 25 + 2 = 27

b) The second expression is

a^2(5-b)

We substitute a=2 and b=5;

{2}^{2} (5 - 5) = 4(5 - 5) = 4 \times 0 = 0

c) The next expression is

{b}^{2}  - 10

We substitute b=5 to get:

{5}^{2}  - 10 = 25 - 10 = 15

d) The fourth expression is

a(b-3)

When a=2 and b=5

2(5 - 3) = 2 \times 2 = 4

We know that:

0<4<15<27

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Answer:

a. n=4148

b. n=3909

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Step-by-step explanation:

a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

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Where:

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n=0.5(1-0.5)\times (2.576/0.02)^2\\\\=4147.36\approx 4148

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b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

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n_{0.5}>n_{0.38}\\\\n_{0.5}-n_{0.38}=4148-3909=239

Hence, the actual sample size is smaller for a known proportion from prior a prior study.

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