A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes, and their age of death. The data is summarized below:

∑x=1257
∑y^2=836
∑x^2=98823
∑y=116
∑(xy)=8249


Find the correlation coefficient (r):

Answer:

Stem and leaf plot.

Step-by-step explanation:

The stem and leaf plot is the most appropriate way because it has lots of different values, and they can be grouped according to their tens place. Also, a line graph would have too many values in this situation to be feasible.

Answer:

The equation of the circle with centre (5, 6) and radius = 3 is x2 +y2 - 10x - 12y + 52 = 0.

I believe this is the answer.

To find the degree of this function, you would look at the first term of the function, which is 3. So, the degree of this function would be 3.

Answer:

It's a palindrome - in that it reads the same backwards as forwards - so long as the decimal point remains in the same place.

Step-by-step explanation:

Answer:

2500=100

**. =4

2500×4/100=100

100×12 because 1 year have 12 months

then 3×1200=3600

[tex]~~~~~~ \textit{Compound Interest Earned Amount}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{12}\right)^{12\cdot 3}\implies A=2500\left( \frac{301}{300} \right)^{36}\implies A\approx 2818.18[/tex]

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 10) ← 2 ordered pairs from the table

m = [tex]\frac{10-2}{3-1}[/tex] = [tex]\frac{8}{2}[/tex] = 4

Answer:

c

Step-by-step explanation:

Exponent division rule: If base are same for any two variables, then subtract the powers.

[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\dfrac{f^{6}h^{9}}{f^{3}h^{7}}=f^{6-3}h^{9-7}\\\\\\ =f^{3}h^{2}[/tex]

Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w)

In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:

P = 2(l + w) = 2(12 + 10) = 44.

44 feet will be needed to go all the way around the room.

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Answer:

straight angle and right angle virtually opposite angle

Answer:A

Step-by-step explanation:

I just did this one and that was correct

Answer:

Okay so all you need to know is the percentage of the hydrogen peroxide.
We know that the total solution is 400 ml and the hydrogen peroxide solution is 8ml.
8/400

Percent means out of a hundred, this can go multiple ways.

Way #1, benchmarking.

So 8/400 simplified is 1/50 or 2/100.
1/50 is basically 2/100.

And percent means out of a hundred so 2/100 is basically 2percent.

Way #2, proportions

We want to know the percentage of hydrogen/ fabric dye

If you put it in numbers int he same fraction and put “x” as the unknown 8ml hydrogen peroxide solution you’d get.

8/400 = x/100
X/100 because percent means out of a hundred.
Now solve3

Cross multiply,

800 = 400x
divide 400 on both sides

2=x

Now plug it back in the proportion.

8/400 = 2/100

If you simplify to check if they are equal then it’s correct

The answer is the last one. The one with (-60,0) (0,80) and (60,0)

Answer:

5

Step-by-step explanation:

Answer:

  144

Step-by-step explanation:

For a bitstring of length n, there are Fibonacci(n+2) strings containing no two consecutive zeros. This can be seen by constructing the strings starting with n=1.

1-bit strings: 1, 0 -- 2 strings not containing consecutive 0s

2-bit strings: 11, 10, 01 -- 3 strings not containing consecutive 0s

Note that we have added 1 to all the 1-bit strings, and added 0 only to the string ending in 1.

3-bit strings: 111, 110, 101, 011, 010 -- 5 strings not containing consecutive 0s

Note that these 5 strings consist of all (3) of the 2-bit strings with 1 appended, and all (1) of the 2-bit strings ending in 1 with 0 appended. The number that now end in 0 is the number previously ending in 1.

__

If (x, y) represents the numbers of n-bit strings ending in (0, 1), then the number of (n+1)-bit strings ending in (0, 1) is (y, x+y). That is, the recursive relation is ...

  [tex](x_1,y_1)=(1,1)\\(x_n,y_n)=(y_{n-1},\,x_{n-1}+y_{n-1})\\b_n=x_n+y_n\quad\text{number of n-bit strings without consecutive 0s}[/tex]

For n=1 to n=10, these pairs are ...

  (1, 1), (1, 2), (2, 3), (3, 5), (5, 8), (8, 13), (13, 21), (21, 34), (34, 55), (55, 89)

The sequence of b[n] values is ...

  2, 3, 5, 8, 13, 21, 34, 55, 89, 144

which are the n=3 to n=12 numbers from the Fibonacci sequence.

That is, there will be Fibonacci(12) = 144 10-bit strings with no consecutive 0s.

Answer: Arithmetic Sequence

The nth term formula is  [tex]a_n = -15,000n + 365,000[/tex]

Delete the commas if needed.

=======================================================

Explanation:

Subtract each adjacent term like this

Each time we get -15,000 which is the common difference and helps show we have an arithmetic sequence.

The nth term formula can be found following these steps.

[tex]a_n = a + d(n-1)\\\\a_n = 350,000 + (-15,000)(n-1)\\\\a_n = 350,000 - 15,000n + 15,000\\\\a_n = -15,000n + 365,000\\\\[/tex]

If we plugged in n = 1, then we'd get,

[tex]a_n = -15,000n + 365,000\\\\a_1 = -15,000(1) + 365,000\\\\a_1 = -15,000 + 365,000\\\\a_1 = 350,000\\\\[/tex]

Showing the first term is $350,000 which is the initial value of the house.

I'll let you try the other values of n.

Plugging in n = 2 would lead to [tex]a_2 = 335,000[/tex]

Plugging in n = 3 would lead to [tex]a_3 = 320,000[/tex]

Answer:

20

Step-by-step explanation:

The input (X) is 10. The output (Y) is 2X Which means 2 times X. So your answer is 2 × 10 which is 20.

first process is used in this expression

Answer:The answer Is C

Step-by-step explanation:

Acute

The triangle is shown an Acute triangle.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angles are,

60°

60°

60°

Clearly, All angles are less than 90 degree.

Hence, The triangle is shown an Acute triangle.

Learn more about the angle visit:;

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Answer:

Step-by-step explanation:

Here we have relation between gallons of gas and the distance

The range depends on the domain which is limited up to 12 gallons

The range is:

Data set:

Answer:

10 years after 1990 (or in the year 2000) there are 110.3 million people who own cell phones.

Step-by-step explanation:

t= 10 years after 1990.

We are given that f(t) is # of people in millions who own cell phones.

f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

Given that,
Let f (t) be the number of people, in millions, who own cell phones t years after 1990.  To explain the meaning of the following statement, f (10) = 110.3

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f (t) be the number of people, in millions, who own cell phones t years after 1990.

f(10) = 110.3
Implies,
In 10 years after 1990, there are 110.3 million people who owned cell phones.

Thus, f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

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Answer:

B. Brent

Step-by-step explanation:

       Let us turn the Session 2 scores into fractions so we have common units.

(John) 52% -> [tex]\frac{52}{100}[/tex]

(Alexis) 57.5% ->  [tex]\frac{575}{1000}[/tex]

(Brent) 39.5% ->  [tex]\frac{395}{1000}[/tex]

       Now, we can simplify them.

(John I divide by 2)  [tex]\frac{52}{100}[/tex] -> [tex]\frac{26}{50}=\frac{13}{25}[/tex]

(Alexis, I divided by 5) [tex]\frac{575}{1000}[/tex] -> [tex]\frac{115}{200} =\frac{23}{40}[/tex]

(Brent, I divided by 5)  [tex]\frac{395}{1000}[/tex] -> [tex]\frac{79}{200}[/tex]

       Now subtract Session 2 from Session 1 for each and figure out which one is the largest to answer the question.

(John) [tex]\frac{2}{3}[/tex] - [tex]\frac{13}{25}[/tex] = [tex]\frac{11}{75}[/tex] or about 0.146667

(Alexis) [tex]\frac{11}{20}[/tex] - [tex]\frac{23}{40}[/tex] = [tex]\frac{-1}{40}[/tex] or -0.025

(Brent) [tex]\frac{7}{10}[/tex] - [tex]\frac{79}{200}[/tex] = [tex]\frac{61}{200}[/tex] or 0.305

       Since the absolute value of 0.305 is greatest, B. Brent has the largest success rate change.

Answer:

The y intercept is 92, this is because:

In slope intercept equations, it is formatted like:

y = mx + b

where y is the dependent variable and x is the independent variable

m is the slope

and b is the y - intercept

In terms of this situation, 92 means I think probably the start of their latest grades.

Answer: 1/12

Step-by-step explanation:

Multiply the top which is 2. Multiply the bottom which is 24. Simplified by 2 is 1/12.

Answer:

7.5 mph

Step-by-step explanation:

Answer:

14.3

Step-by-step explanation:

72 divided by 3 equals 24, so we have 24 feet.

1 yard equals 3 feet.

3 yards equal 9 feet.

24+9= 43.

43 feet equal 14.3

Hope this helps! Sorry if it doesn't :(

Answer:

78 yards

Step-by-step explanation:

the perimeter is the outside of the shape, right? so you find the perimeter by adding all of the sides together.

if a rectangle's length is going up by 3, that means one pair of parallel sides are having 3 yards added to them. so essentially you have to add 3 yards twice

hopefully that makes sense! please consider brainliest! :)

(I need one more to move up a rank lol)

Answer:

Solution for Divide the number of meters by to find the number of laps. Runners 3 4 Number of Laps 4. 8 12 Number of Meters 1600 3200 4800 6400 de the…

Step-by-step explanation:

eg. the first loan is x, the second loan will be (9,000 - x)

First, we need to make an equation based on the problem

first interest + second interest = 492

5% of x + 6% of (9,000 - x) = 492

This is the equation

Second, solve the equation and find out the value of x (first loan)

0.05x + 0.06(9.000 - x) = 492

0.05x + 540 - 0.06x = 492

-0.01x + 540 = 492

-0.01x = 492 - 540

-0.01x = -48

x = -48/-0.01

x = 4,800

Third, find the second loan

9,000 - x

= 9,000 - 4,800

= 4,200

SUMMARY

The first loan that has interest of 5% is $4,800

The second loan that has interest of 6% is $4,200