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Slav-nsk [51]
2 years ago
9

For how many (not necessarily positive) integer values of n is the value 4000x(0.4)^n an integer?

Mathematics
1 answer:
Delicious77 [7]2 years ago
3 0

The number of integer values of n for which the value 4000 × (0.4)ⁿ is an integer is; 9

<h3>How to find the integer values in algebra?</h3>

We are given the expression;

4000 × (0.4)ⁿ

This can also be expressed as;

4000 × (²/₅)ⁿ which can further be expressed in exponent form as;

(2⁵ × 5³) × (²/₅)ⁿ = 2⁽⁵ ⁺ ⁿ⁾ × 5⁽³ ⁻ ⁿ⁾

Since this expression is an integer, we need:

1) 5 + n ≥ 0 for which n ≥ -5

2) 3 - n ≥ 0 for which n ≤ 3

Taking the intersection gives;

-5 ≤ n ≤ 3

Thus;

Number of Integer Values = 3 - (-5) + 1 = 9

Read more about Integer Values at; brainly.com/question/17695139

#SPJ1

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Bobby is testing the effectiveness of a new cough medication. There are 100 people with a cough in the study. Seventy patients r
Tresset [83]

Answer:

0.665

Step-by-step explanation:

Given:  100 people are split into two groups 70 and 30.  I group is given cough syrup treatment but second group did not.

Prob for a person to be in the cough medication group = 0.70

Out of people who received medication, 34% did not have cough

Prob for a person to be in cough medication and did not have cough

=\frac{0.70(34)}{60}=0.397


Prob for a person to be not in cough medication and did not have cough

=\frac{0.3(20)}{30}=0.20

Probability for a person not to have cough

= P(M1C')+P(M2C')

where M1 = event of having medication and M2 = not having medication and C' not having cough

This is because M1 and M2 are mutually exclusive and exhaustive

SO P(C') = 0.397+0.2=0.597

Hence required prob =P(M1/C') = \frac{0.397}{0.597}=0.665

4 0
3 years ago
Read 2 more answers
A basket contains 15/16 pound of oranges .One serving of oranges is 1/8 of a pound.How many servings of oranges are there
nasty-shy [4]

Answer:

2/15 servings

Step-by-step explanation:

IF a basket contains 15/16 pound of oranges, then;

1 servings= 15/16 pounds of oranges

To get the number of servings for 1/8 pounds

x servings = 1/8 pounds

Divide both expressions

1/x = (15/16)/(1/8)

1/x = 15/16 * 8/1

1/x = 15/2

x = 2/15

Hence there will be 2/15 servings of oranges

7 0
2 years ago
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IrinaVladis [17]

Answer:

The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.

Step-by-step explanation:

5 0
3 years ago
Simplify to create an equivalent expression: -2r + 7(-2n - 3)
Andrew [12]

Answer:

-14n - 2r - 21

Step-by-step explanation:

4 0
2 years ago
IMPORTANT PLEASE!! 10 POINTS :)
s344n2d4d5 [400]

Answer:

The domain is all the possible inputs for this function. The range is all the possible outputs for this function.

The line starts at the <em>x-value</em> of 0 and ends at the <em>x-value</em> of 12. Therefore, your domain is D: [0, 12].

The line starts at the <em>y-value</em> of 9000 and ends at the <em>y-value</em> of 0. Therefore, your range is R: [0, 9000].

5 0
3 years ago
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