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Ivahew [28]
3 years ago
15

What is a common factor of 12x 2 − 5x − 3 and 6x 2 − x − 1 ?

Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

The common factor is (3x+1).

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Help? <br> Solve 2x - 8 &lt; 7
Bezzdna [24]
<span>2x - 8 < 7
Add 8 to both sides
2x<15
Divide 2 on both sides
Final Answer: x<15/2 or 7 1/2 *Both answers are equivalent to each other.</span>
3 0
3 years ago
Read 2 more answers
Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?
Usimov [2.4K]

Given:

Circumference of a circle = C

Diameter of a circle = d

To find:

The relationship between the circumference, c, and diameter, d, of any circle.

Solution:

We know that, circumference of a circle is

C=2\pi r

It can be written as

C=(2r)\pi

C=d\pi         [\because d=2r]

On dividing both sides by d, we get

\dfrac{C}{d}=\pi

Therefore, the correct option is (F).

6 0
2 years ago
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes
Komok [63]

Answer:

a. The probability of completing the exam in one hour or less is 0.0783

b. The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. The number of students will be unable to complete the exam in the allotted time is 8

Step-by-step explanation:

a. According to the given we have the following:

The time for completing the final exam in a particular college is distributed normally with mean (μ) is 77 minutes and standard deviation (σ) is 12 minutes

Hence, For X = 60, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=60−77 /12

Z=−1.4167

Using the standard normal table, the probability P(Z≤−1.4167) is approximately 0.0783.

P(Z≤−1.4167)=0.0783

Therefore, The probability of completing the exam in one hour or less is 0.0783.

b. In this case For X = 75, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=75−77 /12

Z=−0.1667

Using the standard normal table, the probability P(Z≤−0.1667) is approximately 0.4338.

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is obtained as follows:

P(60<X<75)=P(Z≤−0.1667)−P(Z≤−1.4167)

=0.4338−0.0783

=0.3555

​

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. In order to compute  how many students you expect will be unable to complete the exam in the allotted time we have to first compute the Z−score of the critical value (X=90) as follows:

Z=  X−μ /σ

Z=90−77 /12

Z​=1.0833

UsING the standard normal table, the probability P(Z≤1.0833) is approximately 0.8599.

Therefore P(Z>1.0833)=1−P(Z≤1.0833)

=1−0.8599

=0.1401

​

Therefore, The number of students will be unable to complete the exam in the allotted time is= 60×0.1401=8.406

The number of students will be unable to complete the exam in the allotted time is 8

6 0
3 years ago
: 11 = 1 /3 : 6<br><br> plz help
GenaCL600 [577]
<h3>Let the number be x</h3>

x:11 =  \frac{1}{3} :6

  • Divide the numbers

\frac{x}{11}  =  \frac{ \frac{1}{3} }{6}  \\  \frac{x}{11}  =  \frac{1}{18}

  • Multiply all terms by the same value to eliminate fraction denominators

11 \times  \frac{x}{11}  = 11 \times  \frac{1}{18}

  • Cancel multiplied terms that are in the denominator

x = 11 \times  \frac{1}{18}

  • Multiply the numbers

x =  \frac{11}{18}

<h2>Solved ✔︎</h2>

3 0
2 years ago
Read 2 more answers
The graph of y = f(x) is shown.<br> a) Find f(0)<br> 4-<br> 3.<br> b) Give the roots of f(x) = 0
Fiesta28 [93]

Answer:

f(0) = 2

Roots are;

-2 and -1

Step-by-step explanation:

F(0) simply refers to the y-values when x = 0

This is the point at which the graph crosses the y-axis

the value here is 2

To

find the roots of f(x) , we simply find the points at which the plot crosses the x-axis

we have this at x = -2 and x = -1

These are what represents the roots of the equation

5 0
2 years ago
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