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3 years ago

14

If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 990, what is the least possi

ble value of n?
A. 10B. 11C. 12D. 13E. 14

1 answer:

blagie [28]3 years ago

3 0

Answer:

B. 11

Step-by-step explanation:

When n = 11

The product of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 is 39,916,800

39,916,800 is a multiple of 990

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One tool used in genetics is called a pedigree chart,are there any advantages to using this tool?The population of a city is inc

Tanzania [10]

Answer:

A = 236,000 (1.04)^t

population in 2009 : 335,902 people

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t

Where:

p = original population

r = growing rate (decimal form) = 4/100 = 0.04

t= years passed from 2000

A = population after t years

Replacing with the values given:

A = 236,000 (1+ 0.04)^t

A = 236,000 (1.04)^t

Population in 2009.

t = 2009-2000 = 9

A = 236,000 (1.04)^9

A = 335,902 people

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

Trey and Brandon each bought a new hockey stick for $80.

Gre4nikov [31]

Answer:

$4

Step-by-step explanation:

Trey sold his $80 hockey stick for 25% less. This means that he received 75% of the $80. Convert the percentage to a decimal, so it will be .75. Multiple .75 by $80 and you will get the final answer which is $60.

Brandon sold his $80 hockey stick for 30% less. This means that he received 70% of the $80. Convert the percentage to a decimal, so it will be .70. Multiple .70 by $80 and you will get the final answer which is $56.

Trey received $4 more for his hockey stick.

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2 years ago

25% of American households have only dogs (one or more dogs) 15% of American households have only cats (one or more cats) 10% of

sergeinik [125]

Answer:

a) P=0.2503

b) P=0.2759

c) P=0.3874

d) P=0.2051

Step-by-step explanation:

We have this information:

25% of American households have only dogs (one or more dogs)

15% of American households have only cats (one or more cats)

10% of American households have dogs and cats (one or more of each)

50% of American households do not have any dogs or cats.

The sample is n=10

a) Probability that exactly 3 have only dogs (p=0.25)

$P(x=3)=\binom{10}{3}0.25^30.75^7=120*0.01563*0.13348=0.25028$

b) Probability that exactly 2 has only cats (p=0.15)

$P(x=2)=\binom{10}{2}0.15^20.85^8=45*0.0225*0.27249=0.2759$

c) Probability that exactly 1 has cats and dogs (p=0.1)

$P(x=1)=\binom{10}{1}0.10^10.90^0=10*0.1*0.38742=0.38742$

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

$P(x=4)=\binom{10}{4}0.50^40.50^6=210*0.0625*0.01563=0.20508$

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3 years ago

1.The growth of a sample of bacteria can be modeled by the function b(t)=100(1.06)t where b is the number of bacteria and t is t

qwelly [4]

Given:

The growth of a sample of bacteria can be modeled by the function

$b(t)=100(1.06)^t$

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,

$b(t)=100(1.06)^t$

Here, b(t) number of total bacteria after t hours.

Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.

$b(t)=100(1.06)^3$

$b(t)=100(1.191016)$

$b(t)=119.1016
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Therefore, the number of total bacteria after 3 hours is 119.1016.

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3 years ago

Can people help me please to find the volume about question number 10 please and tell me the answer step by step please I need h

Alecsey [184]

#10
Volume of a cylinder: $\pi$ r²h

Plug the numbers in.

$\pi$ 3²15 = <span>424
</span>
The volume of the pipe is 424 cm³.

7 0

3 years ago