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4 years ago

To evaluate the expression 25x-400, what would x need to be if the result must be at least 200?

Mathematics

1 answer:

Greeley [361]4 years ago

7 0

Formula:
$25x - 400 \geqslant 200$
Add 400:
$25x \geqslant 600$
Divide by 25:
$x \geqslant 24$
x must at least be 24

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3 years ago

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One thousand dollars is invested in a savings account that pays 9% interest per year. The interest earned after the first year i

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3 years ago

64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number

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Answer:

A) 0.1636

B) 0.7292

C) 0.0305

Step-by-step explanation:

This is a binomial probability distribution question that follows;

P(X = x) = nCx × p^(x) × q^(n - x)

In this case, p = 64% = 0.64

q = 1 - p = 1 - 0.64 = 0.36

Thus;

A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636

B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424

P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462

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Thus;

P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115

P(x ≥ 6) = 0.7292

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From online binomial probability calculator, we have;

P(x < 4) = 0.0305

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3 years ago

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Answer:

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Step-by-step explanation:

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