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Comparing Functions: Mastery Test

1

Select the correct answer.

Melissa and Robbie are flying remote control gliders.

The altitude of Melissa's glider, h(s), in feet, is modeled by this function, where sis time, in seconds, after launch.


The altitude of Robbie's glider is modeled by function r, where sis time, in seconds, after launch.

Answer:

Well its basically 3 x 4 = 12, so for every lamb add four legs until you get to three

Step-by-step explanation:

Tanner will have to save $3,193.34 per month for 4 years to pay his tuition for Stanford.

Tanner's tuition over 4 years to get his Bachelor's degree all together will cost $185,280 (multiply 46,320×4). His parents will pay $32,000 (multiply 8,000×4) of his whole tuition. If we do the equation $185,280-$32,000 we get $153,280 which is what Tanner will have to pay. There are 48 months in 4 years. To find the answer you must solve the problem 48x= $153,280. To solve the problem divide both sides by 48. The answer to this equation is technically $3,193.3333333333 but for simplicity's sake we can round to $3,193.34. That is why the answer to this question is $3,193.34 per month of savings.

Answer:

$2

Step-by-step explanation:

If $1 = 7 kronor, 2$ would = 14 kronor

We would get $2 if we exchanged 14 kronor a the given exchange rate.

Kronor is the currency of Sweden.

One dollar is the equivalent of 7 kronor.

It is given that $1 = 7 kronor. We have to multiply the entire equation by 2. If we multiply this by 2, we get:

$2= 14 kronor

Therefore we have found that we would get $2 if we exchanged 14 kronor a the given exchange rate of $1 for every 7 kronor.

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Answer:

A sample size of 68 should be anticipated using.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Experience suggests that a reasonable estimate for the population standard deviation is 15

This means that [tex]\sigma = 15[/tex]

What minimum sample size should be anticipate using?

Margin of error at most 3, which means that the sample size is n when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 3:

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up

A sample size of 68 should be anticipated using.

Answer:

hkhqews

Step-by-step explanation:

nc2ecnw

Answer:

Z<-3 is the anwser to this question, good luck !

Multiply through by LCM, 4

[tex] \frac{ - 3z - 1}{2} \times 4 > \: \: \: \frac{4}{1} \times 4[/tex]

[tex]2( - 3z - 1) > 16[/tex]

[tex] - 6z - 2 > 16[/tex]

[tex] - 6z > 16 + 2[/tex]

[tex] - 6z > 18[/tex]

[tex] \frac{ - 6z}{ - 6} < \frac{18}{ - 6} [/tex]

[tex]z < - 3[/tex]

Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

ok.........................................

Answer:

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.

This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]

Which value separates the top 2% of the weekly discarded paper weights in this area?

This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]

[tex]X - 7.95 = 2.054*3.12[/tex]

[tex]X = 14.36[/tex]

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Answer:

Ryan practiced 33.66 minutes on Wednesday

Step-by-step explanation:

You do 43.2+37.48 and it equals 80.68

Then you do 114.34-80.68 which equals 33.66

Answer:

5

Step-by-step explanation:

Answer:

Sunt și bărbat, ești foarte înfiorător

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well you can't find the height of the cone using only the slant height because there simply isn't enough information

S = Slant Height

R = Radius

H = Height

However if you had the radius of the base of the cone, then you can use the Pytagorean theorem like so: H = square root(S^2 - R^2)

If you had the angle the slant made against the base, you could use:

H = S*sin(Angle)

Answer:

1.  50

2. 18

Step-by-step explanation:

Answer:

1st paper

18

2nd paper

50

Answer:

It’s 11

Step-by-step explanation:

Answer:

18/5

Step-by-step explanation:

5 1/5 = 1 thus 3 are 15 + 3 = 18/5

Answer:

The answer is 18 fifths.

Step-by-step explanation:

3 = 15/3 + 3/5 = 18/3 fifths.

Answer:

your answer will be X=11.1

hope it helps you ...

Answer:

c. $30

...................

Answer:

750 minutes

Step-by-step explanation:

there are 750 minutes in 12,5 hours hope that helps

Answer:

Everyone else is correct it's 750 minutes

Answer:

-4%

Step-by-step explanation:

final value - initial value / initial value

359350 - 374364 / 374364

= -15014 /  374364

= -0.04010535201

-0.04010535201 x 100 = -4.01053520103

The value of percent change is -4%.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

In 2012, the NYC misdemeanor crimes totaled 374,364.

And, In 2013, the total was 359,350.

Now.

The percent change = ( Final value - Initial value / Initial value ) x 100

                                =( 359,350 - 374,364 / 374,364 ) x 100

                                = (-15014 /  374364) x 100

                                = -0.04 x 100

                                = - 4%

Thus, The value of percent change is -4%.

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Answer:

The probability is roughly 0.85%.

Step-by-step explanation:

This situation requires the combination of the probabilities in question.

The probability that Steph will make a throw is 90.3%, and from this we can conclude that the amount missed, or the probability of missing will be the remaining, or [tex]100\%-90.3\%=9.7\%[/tex].

Let's combine the probabilities, remembering a percentage simply means a number over 100:

[tex]P=\frac{90.3}{100} *\frac{9.7}{100}*\frac{9.7}{100}=\frac{90.3*9.7*9.7}{100*100*100}\\\\P=\frac{8496.327}{1 000 000}=0.008496327\\\\P(\%)=0.008496327*100=0.8496327\%[/tex]

Answer:

C, y =8x

Step-by-step explanation:

As you can see from the table, y is basically x multiplied by 8 at all instances.

Answer: y=8x

Step-by-step explanation:

y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.

So, you can test it using the data in the table:

16=2×8

24=3×8

32=4×8 etc.

And we know it works.

Hope this helps :)

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

Answer: I did a lot of research for this :)

Step-by-step explanation:

Proof is reasoning that an equation or expression works. It is used in Geometry and Calculus. It is likely first created as an ancient greek mathematics reasoning. Thales was one of the first text books featuring geometry proof(624–546 BCE). It is used to prove that the equation matches.

do you know what the answer was?

Answer:

n = -9.5 or n = -19/2

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

First we would find the unit rate of students per seventh. So we would do 40 divided by 2 which gives us 20. So per 1/7 we have 20 students. Which we can then say 7 x 20 = 140. So in total there are 140 students

Hope this helped

Answer:

12x+3x=15+6

15x=21

divide both sides by 15

x=7/5

Answer:

hey well use transposition method in this

so 12x-15=6-3x

so.12x+3x-15=6 (we transposed-3 to other side so it became +3)

15x-15=6

15x=6+15

15x=21

X=21/15

X= 1.4

I think I'm correct but if wrong pls don't report me just correct me so I can learn