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3 years ago

The volume of 10,000drops of a liquid is 10 fluid ounces. what is the volume of 100 drops.

Mathematics

1 answer:

KIM [24]3 years ago

8 0

We can write a proportion for this problem

10,000drops of a liquid is 10 fluid ounces

100 drops of a liquid is x fluid ounces

x=100*10/10000 =1/10 = 0.1 fluid ounces

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Zachary purchased a computer for 1800 on a payment plan. Three months after he purchased the computer, his balance was 1350. Fiv

zubka84 [21]

<u>Solution-</u>

Zachary purchased a computer for 1800 on a payment plan. (Initial Money)

3 months after he bought the computer, his balance was 1350. (Money after 3 months)

Total money paid in 3 months = 1800-1350 = 450

Money paid per month = 450/3 = 150

5 months after he bought the computer, his balance was 1050.

Total spent = 1800-1050 = 750 = (5× 150)

So the equation that models the balance b after m months,

b = 1800 - m(150)

∴ Here, the slope signifies the constant monthly deduction of $150.

3 0

3 years ago

Find the surface area of this prism.

Advocard [28]

8,748 is the answer because multiple all the number and get 8,748

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2 years ago

An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est

amid [387]

Answer:

(38.1,88.6)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 38.3

Sample size, n = 695

Alpha, α = 0.05

Population standard deviation, σ = 3.6

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$38.3 \pm 1.96(\frac{3.6}{\sqrt{695}} ) = 38.3 \pm 0.267 = (38.033,38.567) \approx (38.1,88.6)$

8 0

3 years ago

A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?

grin007 [14]

<h3>Answer: 220 combinations</h3>

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

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

$_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\$

As you can see, we get the same result and note how 1320/6 is also present as well.

8 0

3 years ago

Read 2 more answers

HELPP

Gnom [1K]

Answer:108

Step-by-step explanation:

7 0

1 year ago