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2 years ago

What number is a factor of all the numbers 45 60 78 84 99

Mathematics

2 answers:

lions [1.4K]2 years ago

5 0

45=3*3*5
60=2*2*3*5
78=2*3*13
84=2*2*3*7
99=3*3*11

common number is 3

factor is 3

spin [16.1K]2 years ago

4 0

The common factor is 3.

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2 years ago

Simplify the following expression.<br> 2x^2-9-17x^2+10+7x

snow_lady [41]

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- 15x² + 7x + 1

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2 years ago

Line parallel to y=1/2x-5

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2 years ago

Read 2 more answers

The sum of 3 consecutive odd numbers is 177. What is the value of the smallest number in the sequence

riadik2000 [5.3K]

Ok this is a very question that can solved very easily. So we know that there three numbers, and they are consecutive, this means that they are all one bigger than the number before so for example 1,2, and 3 or 20, 21, and 22. These numbers are called consecutive. Now let's just pretend that the answer to this question is the variable "x". Now x is the smallest number in all the three numbers.

Using our knowledge of consecutive numbers we can say that the next to numbers will be one more than the number before so:

(x+1) and (x+2)

So we have our three numbers: x , x+1 , and x+2. Now let's set these numbers equal to 177.

177 = x + x + 1 + x + 2 → Combine like terms.

177 = 3x + 3 → Subtract 3 from both sides.

174 = 3x → Divide both sides by 3

58 = x

So that means that our first and smallest number is going to be 58 our second number will be +1 so 59 and our third number will be +2 so 60.

So the three numbers will be 58, 59, and 60.

Hope this helped.

4 0

2 years ago

The mean percent of childhood asthma prevalence in 43 cities is 2.16%. A random sample of 31 of these cities is selected. What i

IceJOKER [234]

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357 or 3.57 %.

What is Probability ?

Probability is the measure of likelihood of an event.

For a Normal Distribution ,

the z-score formula is given by

$\rm Z = \dfrac{X - \mu }{\sigma}$

Here $\rm \mu\\$ is the mean and $\rm \sigma\\$ is the standard deviation .

It is the measure of the deviation of the data from its central tendency.

Each z-score has a probability value.

It is given in the question that

Mean of 2.16% = $\rm \mu\\$ = 2.16

Standard deviation of 1.36% means that $\rm \sigma\\$ = 1.36

For Sample of 31 the value of standard deviation is $\rm s = \dfrac{\sigma}{\sqrt{n}}$

s = 1.36/√31

s = 0.2442

Substituting the values

Z = (2.6 -2.16)/0.2442

Z =1.8

the p value from the graph of z and p , 0.9643

To determine value of probability more than X is 1 - 0.9643= 0.0357

the

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357.

To know more about Probability

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6 0

2 years ago