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Write 38 as the sum of two prime numbers

pychu [463]

38= 19+19.................

8 0

4 years ago

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Evaluate the expression when m = 63 and n = 45

sesenic [268]

The value of the given expression (3m - n)² + 4m when m = 63 and n = 45 is equal to 20,916.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

<u>Given the following variables:</u>

m = 63.

n = 45.

Substituting the given variables into the given expression, we have;

Expression = (3m - n)² + 4m.

Expression = (3(63) - 45)² + 4(45).

Expression = (189 - 45)² + 180

Expression = 144² + 180

Expression = 20,736 + 180

Expression = 20,916.

Read more on expressions here: brainly.com/question/28260012

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Complete Question:

Evaluate the expression when m = 63 and n = 45. (3m - n)² + 4m.

8 0

1 year ago

How many two-person committees can be formed from a group of six people,

finlep [7]

Answer:

3 two-person committee's can be formed from a group of six people

8 0

4 years ago

The American Veterinary Association claims that the annual cost of medical care for dogs averages $100 with a standard deviation

Taya2010 [7]

Answer:

The probability that the cost for someone's dog is higher than for the cat is 33.2%.

Step-by-step explanation:

With the data given, we know that the difference in cost of medical care of dogs and cats have a normal distribution with μ=-20 and σ=46.

To know the probability of the cost for the dog is higher than the cat, we have to calculate the probability of P(d>0).

Then we have to calculate z, and look up in a standarized normal distribution table.

Calculate z:

$z=\frac{X-\mu}{\sigma}=\frac{0-(-20)}{46}=\frac{20}{46}= 0.4348$

The probability of the difference being higher than 0, we have:

$P(d>0)=P(z>0.4348)=0.33185$

We can say that the probability that the cost for someone's dog is higher than for the cat is 33.2%.

8 0

3 years ago

Write three fractions equivalent to \frac{9}{15}

Aleks [24]

(a) On scaling up by a factor of 2 , the equivalent fraction is 18/30.

(b) On scaling up by a factor of 3 , the equivalent fraction is 27/45.

(c) On scaling down by a factor of 3 , the equivalent fraction is 3/5 .

In the question ,

a fraction 9/15 is given ,

Part(a)

to scale up the fraction by a factor of 2 , we multiply the numerator and denominator by 2 .

On multiplying , we get

9/15 = (9*2)/(15*2) = 18/30 .

Part(c)

to scale up the fraction by a factor of 3 , we multiply the numerator and denominator by 3 .

On multiplying , we get

9/15 = (9*3)/(15*3) = 27/45 .

Part(c)

to scale down the fraction by a factor of 3 , we divide the denominator and numerator by 3 .

On dividing , we get

9/15 = (9/3)/(15/3) = 3/5 .

Therefore , (a) On scaling up by a factor of 2 , the equivalent fraction is 18/30.

(b) On scaling up by a factor of 3 , the equivalent fraction is 27/45.

(c) On scaling down by a factor of 3 , the equivalent fraction is 3/5 .

The given question is incomplete , the complete question is

Write three fractions equivalent to 9/15 .

Scale the numerator and denominator up for the first two and down for the third.

(a) Scale up by: __ Equivalent fraction: __

(b) Scale up by: __ Equivalent fraction: __

(c) Scale down by: __ Equivalent fraction: __

Learn more about Equivalent Fraction here

brainly.com/question/10864405

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7 0

1 year ago