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3 years ago

A sprinter ran a race in 11 seconds. What is the domain of this graph?

Mathematics

1 answer:

gtnhenbr [62]3 years ago

4 0

Domain is defined as the all possible values of the variable x for which the function is defined.

Now, for the given graph the x-axis represents the time in seconds.

So, we need to find all the possible values of time for which the distance is covered or for which the function is defined.

Given that : The sprinter ran a race in 11 seconds.

And the initial time is 0 seconds

So, The value of t lies between 0 to 11

Thus, Domain : All real numbers 0 to 11

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Drag the missing statements and reasons to the correct spot to complete the proof

morpeh [17]

Answer:

See attached

Step-by-step explanation:

Answer is attached

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3 years ago

What is 922/21 as a mixed number?

Fed [463]

Answer:

The answer is 43 and 19 over 21

Step-by-step explanation:

21 goes into 922 43 times. This giving you 903. 43 Will then be your Whole number. You the subtract 922 by 903, this giving you 19. 19 is going to be your numerator. Then you always keep the denomonator which is 21. This giving you 43 and 19 over 21

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3 years ago

Find the oth term of the geometric sequence 9, -18, 36, ...

Sphinxa [80]

Answer:

2304

Step-by-step explanation:

Given :-

A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

$:\implies$ CR = -18÷ 9 = -2

The 9 th term :-

$:\implies$ T_n = arⁿ - ¹

$:\implies$ T_9 = 9× (-2) ⁹ - ¹

$:\implies$ T_9 = 9 × (-2)⁸

$:\implies$ T_9 = 9 × 256

$:\implies$ T_9 = 2304

Hence the 10th term is 2304.

3 0

3 years ago

Give the following equation in point slopr form, what is the slope of the line?

AVprozaik [17]

Answer:

Slope= 3

Step-by-step explanation:

y - 4= 3(x+6)

y - 4= 3x + 18 distributive property

y - 4(+4) = 3x + 18(+4)

cancel out the 4 with its oposite and apply to both sides.

y = 3x + 22 final answer

Remember the slope intersept equation... y=mx+b

m is slope

b means the y-intersept.

So the final slope of the line is 3. (demostrated by graph below)

Program for graph: Desmos

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3 years ago

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d

skelet666 [1.2K]

Answer:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,7.8)$

Where $\mu=30$ and $\sigma=7.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.80$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

8 0

3 years ago