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jeka94
10 days ago
11

Would $3.99$ million flies or $47,000,000$ ants have a greater mass? Approximately how much greater, in grams, would the greater

mass be?
Mathematics
1 answer:
zzz [11.8K]10 days ago
3 0

Answer:

Ants weigh approximately 118,615,000mg more.

Step-by-step explanation:

Based on a quick search, the average housefly weighs around 11.5mg, while an ant averages at 3.5mg. With these average weights, we can calculate the total weight of each species.

Flies: 3,990,000 * 11.5mg = 45,885,000mg

Ants: 47,000,000 * 3.5mg = 164,500,000mg

Consequently, it's clear that the 47 million ants possess a greater mass, specifically

164,500,000 - 45,885,000 = 118,615,000mg more

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There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, an
AnnZ [11946]

Answer:

There are 369 students who enrolled in either calculus or discrete mathematics.

Step-by-step explanation:

I'll create a Venn diagram to illustrate these figures.

Let’s define:

A represents the count of students who completed calculus.

B stands for those who took discrete mathematics.

We have the following:

A = a + (A \cap B)

Here, a denotes the students who studied calculus exclusively, while A \cap B represents those who took both subjects.

Using the same reasoning:

B = b + (A \cap B)

There are 188 students taking both calculus and discrete mathematics.

This implies that A \cap B = 188

A total of 212 students studied discrete mathematics.

<pBased on this, B = 212

345 students have attended a calculus course.

<pSo, from this information, A = 345

We find the total number of students who took either calculus or discrete mathematics.

(A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369

A total of 369 students participated in either calculus or discrete mathematics.

4 0
1 month ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
zzz [11867]

Answer:

Step-by-step explanation:

It has been established that the count of drivers traveling between a specific origin and destination in a certain time frame follows a Poisson distribution with a mean μ = 20 (as indicated in the article "Dynamic Ride Sharing: Theory and Practice"†).

a) P(X\leq 15) = 0.1565=0.157

b) P(X>26) =1-F(26)\\= 1-0.9221\\=0.0779=0.078

c) P(15\leq x\leq 26)\\=F(26)-F(14)\\=0.9221-0.1049\\=0.8172=0.817

d) 2 standard deviations = 2(20) = 40

Thus, this means the range for 2 standard deviations is

20-40, 20+40

which equates to (0,60)

P(0

5 0
1 month ago
A rectangular prism with integer side lengths has a height of $3$. If the surface area of the prism is equal to $52$, then what
lawyer [12124]
The given details include: Height of the rectangular prism, h = 3 units, Surface area of the prism, A = 52 sq units. We need to determine the volume of the prism. The volume of a rectangular prism can be calculated using the formula: l = length and b = breadth. Given that the surface area of the prism, A = lb, we have it equal to 52 sq units. Consequently, the volume is 156 cubic units.
3 0
26 days ago
A recent review of a compact disc distributor’s product line is summarized as follows: Selling Price ($) Number of Titles Midpoi
Inessa [12191]
I'm looking for the same answer. If you have found any solutions, please share them with me!!

6 0
5 days ago
There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2
Leona [12131]

Response:

n = 0 or 3

Detailed explanation:

2n² - 5n + 2

2n² - 4n - n + 2

2n(n - 2) -1(n - 2)

(n - 2)(2n - 1)

A prime number is defined as one that can only be divided by itself and 1

Setting n-2 = 1 gives n = 3

Setting 2n-1 = 1 gives n = 0

7 0
1 month ago
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