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vlada-n [284]
3 years ago
10

Simplify the expression 1/4n(-24+8m-100p)

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
3 0
The answer would be -6n+2mn-25pn
BlackZzzverrR [31]3 years ago
3 0

Answer:

The answer of simplify the expression is:

2nm-25np-6n

Step-by-step explanation:

We need to simplify the expression:

\frac{1}{4}n*(-24+8m-100p)

We need multiply each term by \frac{1}{4}n

\frac{1}{4}n*(-24+8m-100p)\\-\frac{24}{4}n+\frac{8}{4}nm-\frac{100}{4}np

Simplify:

-6n+2nm-25np

Organizing the terms of the expression, we have the answer:

2nm-25np-6n

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Answer: n=-28

Step-by-step explanation:

5 0
3 years ago
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Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

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3 years ago
A water tank holds 12 gallons. How many full buckets of water will it take to fill the tank, if each bucket has capacity 3 quart
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Answer:

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Step-by-step explanation:

there are 4 quarts in a gallon, but it only holds 3. 12 divided by 3 is 4.

Hope it helped!

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Step-by-step explanation:

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Plsss help asap edge​
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Answer:

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