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3 years ago

A population of ants is 10,000 at the start of April. Since then, it triples each month.

Mathematics

1 answer:

Kryger [21]3 years ago

8 0

Answer:

Month since April Number of Ants

0 10,000

1 30,000

2 90,000

3 270,000

4 810,000

Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.

0 months from April = 10,000 * 1 = 10,000 ants

1 month from April = 10,000 * 3 = 30,000 ants

2 months from April = 30,000 * 3 = 90,000 ants

3 months from April = 90,000 * 3 = 270,000 ants

4 months from April = 270,000 * 3 = 810,000

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What is the volume of three cubes, each with a side length of 1/3 foot? V = s3, where s is the side length.

marta [7]

1/3 of a foot = 4 inches
(4^3)*3=
(4*4*4)*3=
(16*4)*3=
64*3=
192

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3 years ago

it have 3 sides but in the formula we have 4 sides which is (A b sides) (B base sides ) (C base side ) and (height) HEEELLLLPPPP

Vikki [24]

Answer:

225 m³ or 225 cubic meters

Step-by-step explanation:

Actually it has 5 sides, the 2 bases, the 3 lateral faces.

The formula for the volume of a triangular prism is: $\frac{h*b*l}{2}$

Using the given measurements, we get:

$\frac{9*5*10}{2} =\\\\\frac{450}{2} =\\\\225$

The volume of the prism is 225 m³

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3 years ago

Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To

Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b. 90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a. The table below shows the calculations:

X (X-mean)^2

1.7 0.0225

1.8 0.0025

1.9 0.0025

2.0 0.0225

Total 7.4 0.05

Sample size: n=4

The mean is: \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0

3 years ago

Cedric purchased a new refrigerator and stove at Home Depot for $3,729 on a deferred payment plan with no down

lesya [120]

Answer:

correct option is d. $242.81

Step-by-step explanation:

given data

APR = 25.5% = $\frac{25.5}{12}$ = 2.125

paid = $3,729

solution

we get here finance charge on the 1st month by multiplying 3,729 and now adding it to existing balance

so we get finance charge for the second and third months similarly as

APR ÷ 100 = $\frac{2.125 }{100}$ = 0.02125

so 1st

= $3,729 × 0.02125

= 79.25

and

$3,729 + $79.25 = $3808.24

so for next

= $3808.24 × 0.02125

= 80.93

and

$3808.24 + $80.93 = $3889.17

so for next

= $3889.17 × 0.02125

= 82.64

and

$3889.17 + $ 82.64 = $3971.81

finance charge = 3971.81 - 3729

finance charge = 242.81

so correct option is d. $242.81

8 0

3 years ago

What is the Area of the shaded portion in the square.

riadik2000 [5.3K]

Step-by-step explanation:

Area of the squre is pi -360/2

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3 years ago