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Mathematics

1 answer:

GarryVolchara [31]3 years ago

6 0

Answer:

Step-by-step explanation:

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During a scuba dive, Lainey descended to a point 20 feet below the ocean surface.She countined her descent at a rate of 20 feet

lorasvet [3.4K]

Answer:

$20 + 20x \leq 100$

Step-by-step explanation:

Let x be the number of minutes she can continue, since she's already 20 feet below the ocean surface and is diving at the rate of 20 ft/minute, her depth with respect to x would be

20 + 20x

But she doesn't want to reach more than 100 feet below the surface

$20 + 20x \leq 100$

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3 years ago

A college financial adviser is interested in studying the number of students at his college who apply for loans when entering gr

Shalnov [3]

Answer:

0.7429

Step-by-step explanation:

Given that Of the 721 students at the college, 299 of them apply for loans when entering graduate school.

So p = proportion of students applying for loans = $\frac{299}{721} =0.415$

Each student is independent of the other and there are two outcomes

Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415

the probability that more than 16 of them apply for loans

= $P(X>16)\\= \Sigma_{x=17} ^{45} P(x)\\=\Sigma_{x=17} ^{45}(45Cx (0.415)^x (0.585)^{25-x} )$

=0.7429

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3 years ago

30 \div \frac{1}{3} 30÷ 3 1

ioda

Answer:

Step-by-step explanation:

$30 \div \frac{1}{3} \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:30=\frac{30}{1}\\=\frac{30}{1}\div \frac{1}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{30}{1}\times \frac{3}{1}\\\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=30\times \:3\\\\=90$