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Naddik [55]
3 years ago
11

The pairs 3, 12 and 4, 9 are factor pairs of which number? A) 32 B) 36 C) 44 D) 82

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0

Answer:

When factorizing one number, what you get are other numbers that, when they get multiplied, the result of the product is the first number.

In our case, the pair of 3, 12 and the pair of 4, 9 are factors of 36, as it's the number we get when multiplying them:

  • 3 * 12 = 36
  • 4 * 9 = 36

We can factroize 36 like this: 2*2*3*3, and:

  • 2 = 2
  • 4 = 2*2
  • 9 = 3*3
  • 12 = 2*2*3

KatRina [158]3 years ago
6 0

Answer:

\Huge \boxed{\mathrm{B) \ 36}}

\rule[225]{225}{2}

Step-by-step explanation:

A pair of factors are two factors of a number, when multiplied, gives the number.

3* 12=36

4*9=36

The pairs 3, 12 and 4, 9 are factor pairs of 36.

\rule[225]{225}{2}

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Hi!

The graph shows an A) Maximum

A Maximum value appears in a graph when all other values of the polynomial are smaller in value i.e. are under it in an X-Y plot. This is expressed mathematically as:

There is a maximum if for a given x*: f(x*) ≥ f(x) for all x. 

In the graph, you can clearly see that there is a value that is higher than all the others, so this value is a Maximum. 
3 0
3 years ago
What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?
rusak2 [61]

Answer:

The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.

3 0
3 years ago
Two members of the Math Competition Team solve 13 problems in 1 hour. Assume all team members solve problems at the same rate. H
mylen [45]

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4 0
3 years ago
The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 5
Karolina [17]

a. The probability that on a randomly selected day, the jail population

is greater than 750,000 is 20.1%

b. The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Step-by-step explanation:

The given is:

1. The average daily jail population in the United States is 706,242

2. The distribution is normal and the standard deviation is 52,145

3. We need to find the probability that on a randomly selected day,

    the jail population is greater than 750,000

4. We need to find the probability that on a randomly selected day,

    the jail population is between 600,000 and 700,000

a.

At first find z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard

   deviation

∵  x = 750,000 , μ = 706,242 and σ = 52,145

∴ z = \frac{750,000-706,242}{52,145} ≅ 0.84

Use the normal distribution table of z to find the area to the right of

the z-value

∵ The corresponding area to z-score of 0.84 is 0.79955

- But we are interested in x > 750,000, we need the area to the

  right of z-score

∴ P(x > 750,000) = 1 - 0.79955 = 0.2005

∴ P(x > 750,000) = 0.2005 × 100% = 20.1%

The probability that on a randomly selected day, the jail population is

greater than 750,000 is 20.1%

b.

We will find z-score for 600,000 < x < 700,000

∵ z = \frac{600,000-706,242}{52,145} ≅ -2.04

∵ z = \frac{700,000-706,242}{52,145} ≅ -0.12

Use the normal distribution table of z to find the area between

the two z-values

∵ The corresponding area to z-score of -2.04 is 0.02068

∵ The corresponding area to z-score of -0.12 is 0.45224

- To find P(600,000 < x < 700,000) subtract the two values above

∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316

∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%

The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0
3 years ago
19-4q+q-11 simply the experssion
Black_prince [1.1K]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>8 - 3q</em>

▹ Step-by-Step Explanation

19 - 4q + q - 11

Combine like terms in terms of q:

-4q + q = -3q

Combine like terms:

19 - 11 = 8

Final answer:

8 - 3q

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
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