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oee
1 month ago
10

If one termite can destroy 1.2mg of wood per day, how many kilograms of wood can 10 termites destroy in 1 week? *Can someone ple

ase explain how to do this*
Mathematics
1 answer:
AnnZ [12.3K]1 month ago
5 0
A group of 10 termites is capable of damaging 0.000084kg of wood in one week.

For clarity, converting milligrams to kilograms yields: 1.2mg = (1.2 / 1,000,000)kg equals 0.0000012kg. Consequently, a single termite will consume 0.0000012kg daily. Therefore, 10 termites will demolish a total of: (0.0000012 × 10) kg per day, resulting in 0.000012kg. As there are 7 days in a week, the total destruction across the week is calculated as 10 termites' daily destruction multiplied by 7, which translates to 0.000012 × 7 = 0.000084kg per week.

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Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’
tester [12383]

Respuesta:

El total de la factura de Isaac es $84.53

Explicación detallada:

$37.00 + $42.00 = $79.00 < b (factura)

b + t (impuesto sobre ventas) = c (costo total)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(t = $5.53)

$79.00 + $5.53 = $84.53

¡Buena suerte!

6 0
2 months ago
Read 2 more answers
According to a survey by Bankrate, of adults in the United States save nothing for retirement (CNBC website). Suppose that adult
tester [12383]

Complete Question

The complete question appears in the first uploaded image

Answer:

a) Yes, selecting 15 corresponds to a binomial experiment

b)

c)

d) P(r = 15) = 3.2768 *10^{-11}

Step-by-step explanation:

Regarding question a:

For an experiment to qualify as binomial

the trials have to be independent

each trial must yield one of two possible outcomes

Given that the selection of 15 individuals is random, we ascertain that the trials are independent and the outcomes are “either the individual saves for retirement or does not save for retirement.”

Therefore, we conclude that the selection of 15 people at random is indeed a binomial experiment.

In question b:

The probability that all selected adults do not save for retirement is mathematically modeled as

P(r = n) = ^nC_r * p^r * q^{n-r}

Here C signifies combination

r = 15 implies all selected adults

n refers to the population size equating to 15

From the problem, p = 0.20

and q can be calculated as

=>

=> q = 1 - p

Thus

P(r = 15) = ^{15}C_{15} * p^{15} * q^{15-15}

P(r = 15) = 3.2768 *10^{-11} Regarding question c:

The probability that exactly five of the selected adults do not save for retirement is mathematically modeled as

P(r = 5) = ^{15} C_5 * (0.20)^5 * (0.80)^{15}

P(r = 5) = 0.1032

In relation to question d:

The probability that at least one of the selected adults opts not to save for retirement can be mathematically expressed as

P(r \ge 1 ) = 1 - P (r = 0 )

P(r \ge 1 ) = 1 - [ ^{15} C _ 0 * (0.20)^{0} * (0.80 )^{15}]

P(r \ge 1 ) = 1 - 0.0352

P(r \ge 1 ) = 0.9648

4 0
2 months ago
A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i
tester [12383]

a(t) = 210 - 5t

(1) What does t represent?

Since t is given in minutes, it stands for time.

Interpreting t as the balloon’s altitude is incorrect since a(t) represents altitude.

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Time elapsed since the balloon starts descending

This is the correct interpretation.

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Time for the balloon to reach ground level is incorrect because that would be a fixed moment, not a variable t.

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(2) What does a(t) represent?

The balloon’s altitude

This is the correct answer.

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Time since descent began is incorrect because that is represented by t.

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Time to reach the ground is inaccurate since a(t) is altitude, not time.

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(3) What does a(5.5) signify?

It does not represent the time to reach 5.5 feet altitude.

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The altitude of the balloon after 5.5 minutes

This is the correct interpretation since a(5.5) is altitude when t = 5.5 minutes.

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It is not the time needed to reach the ground.

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5.5 minutes alone is not correct because a(t) denotes altitude, not time.

a(5.5) refers to altitude at t = 5.5 minutes.

7 0
3 months ago
Read 2 more answers
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