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3 years ago

If the rate of change is the same on the entire graph we say it has a ____ rate of change.

Mathematics

1 answer:

Vika [28.1K]3 years ago

6 0

Answer:

Constant

Step-by-step explanation:

For a straight line for example,

Take any two points from the line and find the slope,

it will be the same value for any 2 points chosen

So throughout the graph, the slope/rate of change is not changing

That is

Throughout the graph rate of change/slope is constant

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There are three local factories that produce radios. Each radio produced at factory A is defective withprobability .02, each one

diamong [38]

Answer:

The probability is 0.02667

Step-by-step explanation:

Let's call D1 the event that the first radio is defective and D2 the event that the second radio is defective.

So, if we select both radios any factory, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1) = P(D2∩D1)/P(D1)

Taking into account that 0.02 is the probability that a radio produced at factory A is defective, P(D2/D1) for factory A is:

$P(D2/D1)_A=\frac{0.02*0.02}{0.02} =0.02$

At the same way, if both radios are from factory B, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

$P(D2/D1)_B=\frac{0.01*0.01}{0.01} =0.01$

Finally, if both radios are from factory C, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

$P(D2/D1)_C=\frac{0.05*0.05}{0.05} =0.05$

So, if the radios are equally likely to have been any factory, the probability to select both radios from any of the factories A, B or C are respectively:

P(A)=1/3

P(B)=1/3

P(C)=1/3

Then, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

$P(D2/D1)=P(A)P(D2/D1)_A+P(B)P(D2/D1)_B+P(C)P(D2/D1)_C$

P(D2/D1) = (1/3)*(0.02) + (1/3)*(0.01) + (1/3)*(0.05)

P(D2/D1) = 0.02667

6 0

3 years ago

Help please! I just need to know how to do this step by step...

Alex787 [66]

-8 - 5n = 64 + 3n

+5n +5n add 5n to both sides, 5n's cancel out on the left.

______________

-8 = 64 + 8n

-64 -64 subtract 64 on both sides, 64's cancel out on the right.

______________

-72 = 8n

___ ___ divide 8 on both sides, 8's cancel out from the right.

8 8

n= -9, final answer

7 0

2 years ago

Read 2 more answers

A number line going from negative 3 to positive 5. a closed circle is at negative 1.5. everything to the left of the circle is s

algol13

The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
₋1.5 ≥ x, here the values will satisfy the graph.
remaining inequality expressions does not support the graph.

Therefore the only inequalities the graph represents is x ≥ ₋1.5 and ₋1.5 ≤ x

Learn more about "Linear Inequalities" here-

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5 0

2 years ago

cattie started with 12 ounces of water when she began her walk when she finished walking she had 2 1/4 ounces of water left how

Blizzard [7]

It is 9 3/4 because 12- 2 1/4 is 9 /14

6 0

3 years ago

Usually, in sports, we expect top athletes to get better over time. We expect future athletes to run faster, jump higher, throw