Determine whether the data show a linear relationship. If so, write an equation of a line of fit.
Shoe size, x
6
8
8.5
10
13
Heart rate (bpm), y
112 94
94 100 132 87
The data do not show a linear
relationship
The data show a linear
O relationship; The equation is
y = -3.5x + 133.5.
The data show a linear
O relationship: The equation is
y = -92 + 166.
The data show a linear
O relationship: The equation is
y = -1.95x + 122.5.

Answer:

-4.5. 2.75+(2)+(-5.25) = -4.5. hope this helps

Step-by-step explanation:

- Zombie

Answer:

see explanation

Step-by-step explanation:

Using the identities

1 - cos²x = sin²x

cotx = [tex]\frac{cosx}{sinx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{1}{1-cos\alpha }[/tex] - [tex]\frac{1}{1+cos\alpha }[/tex]

= [tex]\frac{1+cos\alpha - (1-cos\alpha )}{(1-cos\alpha )(1+cos\alpha )}[/tex]

= [tex]\frac{1+cos\alpha -1+cos\alpha }{1-cos^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin\alpha }[/tex] × [tex]\frac{1}{sin\alpha }[/tex]

= 2cotα . cosecα

= right side , thus verified

Answer:

22 - (-3) = 22 + 3 = 25 ft.

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

Answer:

¼I'm pretty sure, if I'm wrong lmk.

Answer:

4/15 or 7/30

Step-by-step explanation:

lmk if thats right or wrong

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

[tex] \displaystyle \large{a_{n + 1} - a_n = d}[/tex]

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

[tex] \displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3} [/tex]

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

[tex] \displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }[/tex]

From the:

[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]

Substitute the values in.

[tex] \displaystyle \large{ \frac{y}{2} = - 3}[/tex]

Multiply the whole equation by 2 to isolate y.

[tex] \displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}[/tex]

Therefore, the value of y is -6.

The mean is  4 because it is in the middle an it is used the most in the data set.

The mean shift to the right side of the data set and the standard deviation is increased.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that:

The data set is:

1 2 3 3 4 4 4 4 5 5 6 7

The mean of the data = ∑x/n

The mean of the data = 4

The standard deviation of the data set = 1.58

If data changed:

1 2 3 3 4 4 4 4 5 5 6 70

The mean of the data = 9.25

The standard deviation of the data set = 18.36

Thus, the mean shift to right side of the data set and the standard deviation is increased.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ2

Answer:

test

test

test

test

test

If I'm understanding the question correctly, you're saying that X is a random variable following a normal distribution with mean 5 and standard deviation 4.2, and you want to find the proportion of the distribution that lies in the interval (-3, 8). In other words, the probability

P(-3 < X < 8)

Transform X to Z, which follows the standard normal distribution with mean 0 and standard deviation 1, using the rule

X = µ + σZ   ==>   Z = (X - µ)/σ

where µ and σ are the mean and standard devation of X, respectively.

We have

P(-3 < X < 8) = P((-3 - 5)/4.2 < (X - 5)/4.2 < (8 - 5)/4.2)

… ≈ P(-1.904 < Z < 0.714)

… ≈ P(Z < 0.714) - P(Z < -1.904)

… ≈ 0.762 - 0.028 ≈ 0.734

The proportion of values of X between - 3 and 5 is 0.734

The expression ∼(5,4.2) gives the mean and standard deviation of X

Mean, μ = 5

Mean, μ = 5Standard deviation, σ = 4.2

Using the normal distribution :

The proportion of values of X is given as :

z = (x - μ) / σ

P(Z < z) - P(Z < z)

P(Z < (x - μ) / σ) - P(Z < (x - μ) / σ)

For X = - 3 and x = 8

P(Z < (8 - 5) / 4.2) - P(Z < (-3 - 5) / 4.2)

P(Z < 0.7143) - P(Z < - 1.90476)

0.76248 - 0.0284 = 0.73408

Hence, the proportion of values of X between - 3 and 5 is 0.734

Learn more : https://brainly.com/question/17756962?referrer=searchResults

4x+3=3x+13(Alternative interior angles)

4x-3x=13-3

x=10

Value of each angle=43 each

Work Shown:

7.12 = 7 + 0.12

7.12 = 7 + (12/100)

7.12 = 7 + (3/25)

7.12 = 7 & 3/25

The notation 7 & 3/25 means we have the whole part 7 and fractional part 3/25.

Answer: 7.5 cups of sugar.

Step-by-step explanation:

Add all of the above:

2+1.5+0.5+3+1.5= 8.5 cups of sugar

Since Zach only needs 1 cup of sugar, subtract 1 from 8.5.

Therefore, your answer is 7.5 cups of sugar.

Answer:

(-5,8)

Step-by-step explanation:

The left number represents the x-axis, the right one the y-axis. A translation to the right means in the positive direction on the x-axis, which is why we add 3 to -8 which gives us -5. Down on the y-axis is in the negative direction, which means we have to subtract 1 from 9, giving us 8.

Answer:

the answer is the same since it is the same numeral so in terms of y=mx+c and x1/y1 would be inversely proportional to x2/y2 which is perfectly direct proportional to x3/y3×2 and then dy over dx is the problem of integration so you use (x2/x3÷y2/y3)×x1^y1

just trying hope that helps

Answer:

80 degrees

Step-by-step explanation:

they are adjacent angles -

115-35=80

GBE=80 degrees

The other person is correct. This is what the drawing looks like when we mark the angles given to us.

Answer: Slope = -3/4

Step-by-step explanation:

Background information

The given equation [y = -3/4x + 2] is in the form of slope-intercept form of linear equation.

The slope-intercept form of a linear equation is where one side contains just [y]. So, it will look like: y = mx + b where [m] is the slope and [b] is the y-intercept.

Match the given equation with the base form of the equation

y = (-3/4)x + 2

y = m x + b

Finalize the match result

m = -3/4

b = 2

Therefore, the slope of the equation [y = -3/4x + 2] is [tex]\boxed{-\frac{3}{4} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

38cm is the circumference

Explanation:

circumference = diameter x 3.14

diameter = 12

circumference = 3.14 x 12 = 37.68

Now we need to round to the nearest whole

36 and 38 are the nearest wholes to 37.68. We need to minus and then find smallest difference between the numbers; meaning the smaller the difference the closer it is.

37.68 - 36 = 0.68

38 - 37.68 = 0.32

37.68 is more closer so we can round this to 38.

Answer:

11.69 or 256

Step-by-step explanation:

291  divided by equals 11.69

And 291 - 25 - 10 = 256

Answer:

because the same number is subtracted from another numberber until it hits zero or smaller than the number subtracted

Step-by-step explanation:

trust me bro

hope this helped homie

Answer:

⇨Because Repeated subtraction is a method of subtracting the equal number of items from a larger group.

Ťøp❶✍☺Hope its helpful

Answer:

Step-by-step explanation:

As per graph, the function is increasing at all intervals.

Correct choice is C

Answer:

Increasing on all real numbers

Step-by-step explanation:

The line is a polynomial curve and it's increasing at all values

so option C is correct

Answer:

11x+3+8x+6=180(Linear pair)

19x+9=180

19x=171

x=9°

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

Answer:

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Step-by-step explanation:

Let x ounces of 11% alcohol must be mixed with the 2 ounces of 20% alcohol.

The amount of alcohol in 4 ounces solution is=   ounces

                                                             = 0.8 ounces

The amount of alcohol in x ounces  solution is=   ounces

                                                                             = 0.11 x ounces

Total amount of alcohol is = (4+x) ounces

According to the problem,

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

The Scientific notation for above value is :

[tex] \boxed{ \boxed{9.65\times 10 {}^{14} }}[/tex]

Step-by-step explanation:

24÷2[70÷5{4+(12-(12-8÷6×3))}]

12[14{4+(12-(12-4))}]

12[14{4+(12-8)}]

12[14{4+4}]

12[14{8}]

12[112]

1344

Answer:

c³ + cd³ + 3c²d + 3cd²

Step-by-step explanation:

(c+d)^3 is worded as c plus d quantity cubed which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.

(c+d)(c+d)(c+d)

You can only multiply 2 at a time so do the first two then the result and the third one.

Distribute everything in one quantity to the other so c*c = c^2 and c*d = cd

= (c^2 + 2cd + d^2)(c+d)

= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3

Combine like terms

= c³ + 3c²d + 3cd² + cd³

The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit is $195.

Cost of data plan per month = $45

Extra amount charged = $30 per GB

The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit will be:

= $45 + $30(5)

= $45 + $150

= $195

The amount that Aaliyah have to pay in a month where she used went over by x GB will be:

= $45 + $30(x)

= $45 + $30x

Read related link on:

https://brainly.com/question/24474763

Answer:

200 ft

Step-by-step explanation:

area = 2500

length = 50

Answer:

a=28, b=-15

Step-by-step explanation:

[tex]Method\ by\ linear\ combinaisons\\\left\{\begin{array}{ccc|c|c|}2a+5b&=&-19&-1&3\\3a+5b&=&9&1&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\5b&=&-75\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\b&=&-15\\\end{array}\right.\\[/tex]