Question 9 (10 points)
Find the average rate of change of the function below from x1 to X2.
f(x) = 5x +7

Answer:

800(1 + r)³ + 300(1 + r)² + 625(1 + r)

Step-by-step explanation:

At the beginning of the first year $800 is deposited.

At the end of the first year the amount of money in account = $800 × growth factor = 800(1 + r)

At the beginning of the second year, $300 is deposited, the money in account = 800(1 + r) + 300

At the end of the second year the amount of money in account is multiplied by growth factor. = [800(1 + r) + 300] × 1 + r = 800(1 + r)² + 300(1 + r)

At the beginning of the third year, $625 is deposited, the money in account = 800(1 + r)² + 300(1 + r) + 625

At the end of third year the money = [800(1 + r)² + 300(1 + r) + 625] × 1 + r = 800(1 + r)³ + 300(1 + r)² + 625(1 + r)

Answer:

(a) 12.5%

(b) 20%

(c) 96th

Step-by-step explanation:

Let X denote the results of the 2018 SAT math exam.

It is provided that the mean of exam was, μ = 531 and standard deviation of σ  114.

Assume that X follows a normal distribution.

(a)

Compute the probability of test takers who scored lower than 400 on the math SAT as follows:

[tex]P(X<400)=P(\frac{X-\mu}{\sigma}<\frac{400-531}{114})[/tex]

                   [tex]=P(Z<-1.15)\\\\=0.12507\\\\\approx 0.125[/tex]

Thus, the percentage of test takers who scored lower than 400 on the math SAT is 12.5%.

(b)

Compute the probability of test takers who scored between 600 and 700 points as follows:

[tex]P(600<X<700)=P(\frac{600-531}{114}<\frac{X-\mu}{\sigma}<\frac{700-531}{114})[/tex]

                             [tex]=P(0.61<Z<1.48)\\\\=P(Z<1.48)-P(Z<0.61)\\\\=0.93056-0.72907\\\\=0.20149\\\\\approx 0.20[/tex]

Thus, the percentage of test takers who scored between 600 and 700 points is 20%.

(c)

Compute the value of P (Z < 725) as follows:

[tex]P(X<725)=P(\frac{X-\mu}{\sigma}<\frac{725-531}{114})[/tex]

                   [tex]=P(Z<1.70)\\\\=0.95543\\\\\approx 0.96[/tex]

Thus, a student who scores 725 has a 96th percentile rank.

Answer:

What are the number to find the amount I thin you're missing information

Step-by-step explanation:

Answer:

2,315.25

Step-by-step explanation:

Answer:

$69.72

Step-by-step explanation:

The equation to find the cost (c) is C= 0.30b + 0.10.

The cost to make each bracelet is $10.70.

We have,

Shawn buy beads for $0.30 each.

The wire used to make each bracelet costs $0.10.

If C is the cost then the equation for the cost is

C = 0.30b + 0.10

where b is number of beads.

Now, Number of beads = 15 then cost is

C = 0.30(15) + 0.10 = $4.6

and, if number of beads is 20 then the cost is

C = 0.30(20)+ 0.10 = 6.1

Then, the total cost is = 4.6 + 6.1 = $10.7

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The density of mercury will be equal to 14 g/cm³.

It is given that the graduated cylinder holds exactly 22 ml and mercury used to fill the cylinder weighs 308 g.

We have to find out the density of the mercury.

What is the formula for density ?

The formula for density will be Density (D) = [tex]\frac{M}{V}[/tex] , where M is mass / weight of the object and V is the volume of the object.

As per the question ;

Graduated cylinder holds 22ml.

∵ 1 ml = 1 cc or cm³

So ,

The volume of graduated cylinder = 22 cm³

The weight of mercury = 308g

We know that ;

Density of mercury = Weight / Volume

⇒ Density of mercury = [tex]\frac{308}{22}[/tex]

⇒ Density of mercury = 14 g/cm³

Thus , the density of mercury will be equal to 14 g/cm³.

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Answer:The square root of 16 is rational.

Step-by-step explanation:

Answer:

-10p

Step-by-step explanation:

-4p + (-6p)

Because both have a variable p, you can combine them. Both are negative so you get the equation:

-4p -6p

This would give you:

-10p

I hope that this helps! :)

Answer:

11

Step-by-step explanation:

if you have 10 apples then get 1 more you would have 11 :)

11

Hope this helps

James King

the answer is 10.8.

Answer:

C

Step-by-step explanation:

the unit rate is how much for one. so in the graph we can see that one serving is equal to 250 grams.

hope this helps :))

Answer:

The given experiment is binomial experiment

1. There are two outcomes classified as success or failure.

2. The probability of success remains fixed on each trial.

3. There are n fixed number of trial.

4.  The trails are independent.

Step-by-step explanation:

The given experiment is binomial experiment because

1. There are two outcomes classified as success or failure. Here success is participating in athletic programs and failure is not participating in athletic programs.

2. The probability of success i.e. probability of participating in athletic programs 0.55 remains fixed on each trial.

3. There are n fixed number of trial i.e. 12.

4. The trails are independent i.e. students participates in athletic programs independently.

Answer:

The p-value of the test is 0.1314.

Step-by-step explanation:

In this case we need to test the claim made by a medical school that more than 28% of its students plan to go into general practice.

The hypothesis can be defined as follows:  

H₀: The proportion of students planning to go to general practice is 28%, i.e. p = 0.28.  

Hₐ: The proportion of students planning to go to general practice is more than 28%, i.e. p > 0.28.

The information provided is:  

 n = 130

[tex]\hat p=0.32[/tex]

Compute the test statistic value as follows:  

 [tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

    [tex]=\frac{0.32-0.28}{\sqrt{\frac{0.28(1-0.28)}{130}}}\\\\=1.12[/tex]

The test statistic value is 1.12.  

Compute the p-value as follows:  

 [tex]p-value=P(Z>1.12)\\[/tex]

                 [tex]=1-P(Z<1.12)\\\\=1-0.86864\\\\=0.13136\\\\\approx 0.1314[/tex]

The p-value of the test is 0.1314.

*Use the z-table.

✨Answer:✨

10 quarts of apple cider, 15 teaspoons of cinnamon, 5 pints of lemon lime soda.

✨Step-by-step explanation:✨

40 people in your neighborhood ÷ 8 people (how much 1 recipe can feed) = 5 punches so you can feed 40 people

2 quarts of apple cider x 5 = 10 quarts of apple cider

3 teaspoons of cinnamon x 5 = 15 teaspoons of cinnamon

1 pint of lemon-lime soda x 5 = 5 pints of lemon-lime soda

Answer:

1

Step-by-step explanation:

Answer:

(A) 0.6

(B) 0.1

Step-by-step explanation:

(A) Find the probability that NO family member chooses the same exit door.

Now, if no family member chooses the same exit door with another, it means that each person chooses a separate door. If each person chooses a separate door, then 6 out of 10 doors are chosen!

This translates to 6/10 which is = 0.6

So the probability that each family member has a door to him or herself is 0.6

(B) Find the probability that EVERY family member chooses the same exit door.

In this case, the number of persons (family members) does not really count. The focal point of the question is that everybody chooses the same door (and will use the same door). This means that only 1 door out of 10, will be chosen AND the probability that only one door out of 10 will be chosen is

1/10 = 0.1

Answer:

3

Step-by-step explanation:

the runners are running 5.6 miles mph    

This question is incomplete, the complete question is;

As the junior public health epidemiologist in a large state in the Midwest Rust Belt, you have been asked by your supervisor to assist her in updating the statistics on opioid deaths. She is also asking for your help in writing a brief report describing the current situation for the annual report on drug abuse.

- In 2015, there were 3050 drug-related deaths, of which 2950 involved opioids, What percent of the deaths were due to opioids? Express your answer in the following format: XX.XX% (e.g., 54.81%).

- Because the population size may change over time, you also decide to look at rates, which for drug overdose are generally expressed as deaths/100,000 residents. The state population for 2015 was estimated at 11,620,000.Calculate the rate of drug overdose deaths.

Answer:

the rate of drug overdosedeaths is 27 per 100,000 residents

Step-by-step explanation:

Given that;

3050 drug-related deaths in 2015,

Deaths due to opioids in 2015 is 2950

percentage = (2950 / 3050) × 100 = 96.72%

therefore

percentage of the deaths that were due to opioids in 2015 is 96.72%

-

we know that

State population for 2015 =  11,620,000

Number of drug-related deaths in 2015 = 3050

Death rate is number of deaths recorded divided by the number of population, and then multiplied by 100,000 as in the question

so

Rate of drug overdose = (3050 / 11620000) × 100,000

=26.25 ≈ 27 per 100,000 residents { since of person can't be decimal)

therefore

the rate of drug overdosedeaths is 27 per 100,000 residents

Answer:

The answer is -20 .

Step-by-step explanation:

You have to substitute x = -4 into the function :

[tex]f(x) = 3x - 8[/tex]

[tex]f( - 4) = 3( - 4) - 8[/tex]

[tex]f( - 4) = - 20[/tex]

Answer:

Step-by-step explanation:

f(x) = 3x - 8

f(-4) = 3*(-4) - 8

f(-4)  = -12 - 8

f(-4) = - 20

-20 is what goes in the box.

Answer:

I believe Gusta is the correct answer.

Step-by-step explanation:

Answer: it’s Gustaba

Step-by-step explanation: I took the test

Answer:

There are 3 runs above and below the sample mean

Step-by-step explanation:

From  the given information; we have a table that can be computed as:

Observations              1      2       3      4     5     6

Number of defects     10     18    13    15     9     12

If we sort the order in ascending order; we have:

Observations              5      1       6      3     4     2

Number of defects     9     10    12    13     15     18

The median is the  middle number; here the integers are even :

Thus, the median is  (12 + 13)/2 = 12.5

We need to make counts from the table given above to determine if they are below or above the median

Observations              1      2       3      4     5     6

Number of defects     10     18    13    15     9     12

Above(A) /Below (B)    B     A       A     A    B      B

To count for the number of runs from the  beginning and when there is a change of runs from A to B; we have:  

Observations              1      2       3      4     5     6

Number of defects     10     18    13    15     9     12

Above(A) /Below (B)    B     A       A     A    B      B

Runs                             1        2      -      -      3      -

Therefore, from the analysis, there are 3 runs above and below the sample mean

The median element of a dataset is the middle element of the dataset.

There are 3 runs above and below the sample median

The information is given as:

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

In ascending order, the information is represented as:

Defects           9   10   12   13   15   18

Observations  5    1     6    3     4    2

The total number of observations is:

[tex]\mathbf{n = 5 + 1 + 6 + 3+ 4 + 2}[/tex]

[tex]\mathbf{n = 21}[/tex]

The median element is calculated as:

[tex]\mathbf{Median = \frac{n + 1}{2}th}[/tex]

Substitute 21 for n

[tex]\mathbf{Median = \frac{21 + 1}{2}th}[/tex]

[tex]\mathbf{Median = \frac{22}{2}th}[/tex]

[tex]\mathbf{Median = 11th}[/tex]

The 11th element is 12.

So, the median is:

[tex]\mathbf{Median = 12}[/tex]

Considering the given information;

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

The defects greater than the median (i.e. 12) are above (A) the median, while the defects less than the median are below (B)

So, we have:

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

Status               B     A       A     A    B      -

Next, we take a count of the number of times the status changes, i.e. from B to A, from A to B, from A or B to -

The count is 3.

Hence, there are 3 runs above and below the sample median

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Answer:

280lbs

Step-by-step explanation:

168/12=14

14×20=280

Answer:

2.75 or 2 3/4

Step-by-step explanation:

Answer:

11/4

Step-by-step explanation:

First start by writing the equation using only fractions:

11/8 / 1/2 =

Next, change the sign to multiplication by taking the reciprocal of the second number:

11/8 * 2 =

Then multiply the two numbers together:

22/8 =

And finally, simply the fraction:

11/4

Answer:

π/4

Step-by-step explanation:

Answer:

63/3 m/7

Step-by-step explanation:

i dont have time to exlplain lol just trust

Answer:

[tex]x = 14.[/tex]

Step-by-step explanation:

[tex]using \: the \: sum \: of \: angles : \\ (7x - 11) + (2x - 3 ) + (5x - 2) = 180 \\ 14x - 16 = 180 \\ 14x = 196 \\ x = 14[/tex]