MATHEMATICS COLLEGE

Enter the symbol (<, >, or =) that correctly completes this comparison.
0.147 0 0.174

Answers

Answer 1
Answer:

Answer:

<

Step-by-step explanation:

.174 is greater than .147

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If 3 inches represents 90 miles on a scale drawing , how long would a line segment be that represents 240 miles?

Answers

Answer:

8 inches

Step-by-step explanation:

90 miles -------------> represented by 3 inches

1 mile -------------> represented by 3/90 inches

240 miles ----------> represented by 3/90 x 240 = 8 inches

What is the slope of the function? –6 –4 4 6graph :
x
-2
-1
0
1
2

y
8
2
-4
-10
-16

Answers

to get the slope, all  we need is two points, so let's pick two off the table.


\bf \setlength{\fboxsep}{1pt}\begin{array}{rrll}x&y\n\cline{1-2}\n\boxed{-2}&\boxed{8}\n-1&2\n\boxed{0}&\boxed{-4}\n1&-10\n2&-16\end{array}~\hspace{5em}(\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{-4})\n\n\n\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-8}{0-(-2)}\implies \cfrac{-4-8}{0+2}\implies \cfrac{-12}{2}\implies -6

Answer:

-6 i got it right

Step-by-step explanation:

If f(x) = 2x + 2 and g(x) = x2 - 1, find (f - g)(x).

Answers

Answer:

(f - g)(x) = - x² + 2x + 3

Step-by-step explanation:

f(x) = 2x + 2

g(x) = x² - 1

To find (f - g)(x) subtract g(x) from f(x)

That's

(f - g)(x) = 2x + 2 - [ x² - 1]

(f - g)(x) = 2x + 2 - x² + 1

Group like terms

That's

(f - g)(x) = - x² + 2x + 2 + 1

We have the final answer as

(f - g)(x) = - x² + 2x + 3

Hope this helps you

Answer:

-x2+2x+3

Step-by-step explanation:

(2x+2)- (x2-1)

2x+2-x2+1

-x2+2x+3

How does logical operator work- explain the differences between A AND B and A OR B? (6 pts)

Answers

Answer with Step-by-step explanation:

We are given two input A and B

A AND B=A\cdot B

If A=0 and B=0 then A\cdot B=0

If A=0 and B=1 then A\cdot B=0

If A =1 and B=0 then A\cdot B=0

If A=1 and B=1 then A\cdot B=1

A OR B=A+B

If A=0 and B=0 then A+B=0+0=0

If A=0 and B=1 then A+B=0+1=1

If A =1 and B=0 then A+B=1+0=1

If A=1 and B=1 then A+B=1+1=1

If A=0 and B=1 or A=1 and B=0 then A AND B=0 but A OR B=1

This is the main difference A AND B and A OR B.

A popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams. 1.) Fill out the normal distribution curve for this situation. 2.) What percentage of people would receive a bag that had a weight greater than 1115 grams?

Answers

Answer:

Step-by-step explanation:

Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.

i.e. Sample mean = 1040 and

Sample std dev s = 25 gm

Sample size n = 100

Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

\bar X = N(1040,25)

Normal curve would be with mean 1040 and std deviatin 25

b) P(X>1115)

= 1-0.9987

=0.0013

i.e. 0.13% would receive a bag that had a weight greater than 1115 grams

What is a rational number

Answers

A rational number is any number, positive or negative. This can be numbers including fractions, decimals, whole numbers, and so on.

As long as it is a real number it's a rational number.

In addition, any number that can be turned into a fraction is rational.

Answer:

A Rational Number can be made by dividing two integers.

Step-by-step explanation:
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