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Nikolay [14]
3 years ago
5

Show that the number is rational by writing it as a quotient of two integers--- the number is 1.

Mathematics
1 answer:
wariber [46]3 years ago
8 0
1 is equal to 1 divided by 1.
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If a person making $47,000 receives a 3% raise, how much money do they make now?
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Answer:its 5

Step-by-step explanation:

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Josie deposited $450 in bank account. At begin of month. $35.20 is automatically deducted each month. At end of 4 months how muc
Vedmedyk [2.9K]

Step-by-step explanation:

given,

amount she deposited in bank = $450

amount get automatic deducted each month for her gym membership = $35.20

So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8

so, $450 - 140.8 = $309.2

therefore, $309.2 amount will remain at the end of 4 months.

3 0
3 years ago
The graph shows the exponential regression model for data representing a rabbit population after x years. Which is true of the r
tamaranim1 [39]

Answer: The graph of the regression model can be used to predict the population size for any number of years in the future.

Step-by-step explanation:

Since with help of the given graph, we can say that

The graph of the regression model is applied for the every real value of x.

Thus the statement The graph of the regression model is limited to whole-number values for x is false.

Also, the range of an exponential function is always a set of real number.

Therefore, The graph of the regression model is limited to whole-number values for y is false.

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Therefore, The graph of the regression model cannot be used to approximate the population size for year 1 is false.

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5 0
3 years ago
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Verify sin(360 - etheta = -sin etheta
Dovator [93]

Answer:

see explanation

Step-by-step explanation:

Using the subtraction identity for sine

sin(a + b) = sinacosb - cosasinb

Given

sin(360 - Θ)°

= sin360°cosΘ° - cos360°sinΘ°

= (0 × cosΘ ) - (1 × sinΘ)

= 0 - sinΘ

= - sinΘ  ← as required

8 0
3 years ago
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoti
Archy [21]

This question is incomplete, the complete question is;

Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen.

a) What is E[G] or range of G

b) Give the distribution over the random variable G

Answer:

a) E[G] is [ 0, 1 , 2 ]

b)

the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

Step-by-step explanation:

Given the data in the question;

Number to be chosen is 2

from 7 girls and 3 boys

a) range of G

number of girls can be; [ 0, 1 , 2 ]

Therefore, E[G] is [ 0, 1 , 2 ]

b) he distribution over the random variable G.

Distribution of the random variable G is Hypergeometric;

so

with P( G=g ) = P( getting g girls from 7 and 2-g boys from 3)

= ((^7C_g) × (^3C_{2-g)) / ^{10}C_2

now since, the range of G is [ 0, 1 , 2 ]

P( G=0 ) = ((^7C_0) × (^3C_{2)) / ^{10}C_2

= [(7!/(0!(7-0)!)) × (3!/(2!(3-2)!))] / (10!/(2!(10-2)!))

= [1 × 3] / 45 = 3/45 = 0.0667

P( G=1 ) = ((^7C_1) × (^3C_{1)) / ^{10}C_2

= [(7!/(1!(7-1)!)) × (3!/(1!(3-1)!))] / (10!/(2!(10-2)!))

= [ 7 × 3 ] / 45 = 21/45 = 0.4667

P( G=2 ) = ((^7C_2) × (^3C_{0)) / ^{10}C_2

= [(7!/(2!(7-2)!)) × (3!/(0!(3-0)!))] / (10!/(2!(10-2)!))

= [ 21 × 1 ] / 45 = 21/45 = 0.4667

Therefore, the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

3 0
3 years ago
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