Over the summer Marty reads 4 times as many pages as the number of pages Nelson and Jennifer read combined Marty reads 1,860 pages and Nelson reads 240 pages

The steps of finding mean and standard deviation of a simple random sample are given below.

What is standard deviation and mean?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.

The steps of finding mean and standard deviation of a simple random sample are:

Divide the population standard deviation (σX) by the square root of the sample size (n) to get the standard deviation of the sample mean (σX):  = σ/n.

How to determine sample means

Add up the examples' components. You must first count the number of sample items in each data set and then add up all of the sample items. ...

Sum divided by the quantity of samples.

The outcome is the mean.

To determine the variance, use the mean.

To determine the standard deviation, use the variance.

To know more about mean and standard deviation, click on the link

https://brainly.com/question/475676

#SPJ4

The polynomial : y = 3.6088 x³  - 0.3494 x² + 7.7644 x + 2.1870

Given,

Table

MATLAB  code :

clc; clear all; x = [1.15; -1.95; 2.15; -0.8; 0.1]; y = [16.42; -41.1; 53.06; -5.8; 2.52]; % taking cube of x p =x³; % taking square of x q = x²; %combining all columns X = [p q x];  % model of the form ax³ + bX² + cx + d % fit model in linear model mdl = fitlm(X,y); % printing coeffecients of matrix mdl.Coefficients

The table is attached below .

Know more about MATLAB,

https://brainly.com/question/30760537

#SPJ4

Step-by-step explanation:

none of the options is correct

the answer is (5,0)

Answer:

option 2 : ( 8 , 15 )

Step-by-step explanation:

A ( 6 , 5 )

Mid point ( 7, 10)

B ( x , y )

x coordinate of B

\(Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x\)

y coordinate of B

\(midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y\)

B = ( 8 , 15)

Answer:(4x2)(10^3x10^2)8x10^5Listo ahi está

Step-by-step explanation:

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
To know more about radical visit:

https://brainly.com/question/14923091

#SPJ11

Sum of the interior angle of any triangle must equal to 180 degrees thus :

\(53 + 90 + t = 180\)

\(143 + t = 180\)

\(t = 37\)

Thus angle T has a measure of 37° .

Answer: 37

Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37

If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%

I am very sorry if this is wrong in anyway!

Answer:

the answer is 23%

Step-by-step explanation:

i used a percent increase calc... was too lazy to do the work haha

Step-by-step explanation:

the answer is 3

This is because you divide both heights, 12 and

4 and you get 3.

Then divide 48 and 16 which gives you 3.

hope it helps!

Answer:

9!!!  

Step-by-step explanation:

12×48= 576

4×16 = 64

576÷64 = 9

I got it right on my lesson.

Answer:

Step-by-step explanation:

The triangles are similar so the ratio of their corresponding sides will be the same. That is, TV/RV is equal to TS/RQ. This gives us the equation 12/x+6=16/x+1. Cross multiplying, this becomes 12x+12=16x+96. Simplifying, we get x=21. Therefore, RV=12+x-6=x+6=21+6=27.

Answer:

TV/RV=TS/RQ, 12/x+6=16/x+1, 12x+12=16x+96, x=21. Therefore, RV=12+x-6=x+6=21+6=27.

Step-by-step explanation:

The quadratic equation represented by the given table is:

y = -x² + 6x + 4

Remember that the vertex form of a quadratic is:

y = a*(x - h)² + k

Where the vertes ix (h, k)

Here we can see that the vertex is at (3, 13), then we will get:

y = a*(x - 3)² + 13

We also can see that it passes through (1, 9), then we can replace these values to get:

9 = a*(1 - 3)² + 13

9 - 13 = a*4

-4 = a*4

-4/4 = a

-1 = a

y = -(x - 3)² + 13

Expanding that:

y = -x² + 6x + 4

Learn more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

Answer:

40 Percent

Step-by-step explanation:

Answer:

Try stopping at nothing to avoid them

Answer:

The cost of each cotton candy bag is $4.

Step-by-step explanation:

Consider the provided information.

Let, the vendor has \(x\) dollar at the starting of each day.

Let, the cost of each cotton candy bag is \(y\).

Now when she sells a total of 12 bags, she has $128.

\(x+12y=128\)  .....(1)

After she sells a total of 20 bags, she has $160.

\(x+20y=160\)  ....(2)

Subtract equation 1 from equation 2.

\((x+20y)-(x+12y)=160-128\)

\(8y=32\)

\(y=4\)

Hence, the cost of each cotton candy bag is $4.

A recursive algorithm to find a^2n, where a is a real number and n is a positive integer, is as follows:

This algorithm uses the property of exponentiation that a^(2n) = (a^n)^2, and divides the problem of finding a^2n into a smaller subproblem of finding a^n. It takes advantage of the recursive nature of the problem by calling the same algorithm with a smaller value of n.

The time complexity of this algorithm is O(log n) as it divides the problem into half at each recursive step.

It should be noticed that this algorithm assumes that the input value of n is positive, otherwise it would be necessary to add a check for a negative value or zero.

Learn more about the recursive algorithm here:

https://brainly.com/question/18763229

#SPJ4

Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

Answer:

Coefficient is 6

Variable is $

Operation = + and x

Constant = 6x+5

Where x represents the amount of game(s).

Step-by-step explanation:

1/8 is the slope of the line that represents the relationship and 1/4  the slope and the y-intercept represent

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given, Anton realizes there is a linear relationship between the weight of the pet and the amount of food the pet should be fed.

The slope the slope of the line that represents the relationship is 1/8 cups.

the y-intercept of the line that represents the relationship is 1/4.

The slope is the value that will be multiplied by the weight of the cat  so as to know the amount of food that will be given to the cat.

The y intercept represent the fixed food that should be given to the cat after it has been using.

Hence, 1/8 is the slope of the line that represents the relationship and 1/4  the slope and the y-intercept represent

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ1

Answer:

so it looks like it's $245 or it's $85

Step-by-step explanation:

because your equation is 5n+45

$5 dollars earned for every n(magazine) sold.

Alternatively:

if she gets 5 dollars for every 10 sold then after selling 40 it would be

40/5=8 then it becomes 8*5+45=85

Answer:

Step-by-step explanation:

\(\sf -6z+(-5.5)+3.5z+5y-2.5\)

\(\sf -6z-5.5+3.5z+5y-2.5\)

\(\sf -6z+3.5z+5y-5.5-2.5\)

\(\sf( -6z+3.5z)\) \(\sf (5y)\) \(\sf (-5.5-2.5)\)

\(\sf -2.5z+5y-8\)

\(\underline{--------------}\)

Hope it helps! :)

Answer:

-2.5z+5y-8

Step-by-step explanation:

(-6z+3.5z)+5y+(-5.5-2.5)

The solutions of the equation k² - 3k = 10 are k = 5 and k = -2.

We have,

To solve the equation k² - 3k = 10 using the zero product property, we first rearrange the terms so that one side of the equation is zero:

k² - 3k - 10 = 0

k² - (5 - 2)k - 10 = 0

k² - 5k + 2k - 10 = 0

k(k - 5) + 2(k - 5) = 0

(k - 5)(k + 2) = 0

According to the zero product property,

If the product of two factors is zero, then at least one of the factors must be zero.

So we set each factor equal to zero and solve for k:

k - 5 = 0 or k + 2 = 0

k = 5 or k = -2

Therefore,

The solutions of the equation k² - 3k = 10 are k = 5 and k = -2.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ1

Answer:

c. is the correct answer

The type of sampling method used in this survey is snowball sampling. Snowball sampling is a type of non-probability sampling approach.

In this technique, the initial group of study participants refers additional participants, and those participants lead to more referrals, and so on, like a snowball rolling down a hill. This technique can be used when the population of interest is unknown or challenging to access.

Debra wants to conduct a sex study on individuals who enjoy sadomasochism. She contacts a few of her friends who engage in sadomasochistic behavior. In turn, they contact others whom they know are sadomasochists or attend s/m parties. Eventually, a sample of 200 participants is obtained.

This technique is used when the population of interest is challenging to access or when the researchers lack information about the population. Here, the initial group of study participants refers additional participants, and those participants lead to more referrals, and so on, like a snowball rolling down a hill.

To know more about snowball sampling refer to-

brainly.com/question/28272047#

#SPJ11

The probability distribution of the random variable X, which represents the number of spots that turn up when a balanced die is rolled, is a discrete uniform distribution.

This means that each possible outcome has an equal probability of occurring, and the probabilities are evenly distributed across the different values of X.

In a balanced die, there are six possible outcomes, corresponding to the numbers 1 through 6. Since each outcome is equally likely, the probability of each individual outcome is 1/6. Therefore, the probability distribution of X can be represented as follows:

P(X = 1) = 1/6

P(X = 2) = 1/6

P(X = 3) = 1/6

P(X = 4) = 1/6

P(X = 5) = 1/6

P(X = 6) = 1/6

In summary, the probability distribution of the random variable X, representing the number of spots that turn up when rolling a balanced die, follows a discrete uniform distribution, where each possible outcome has an equal probability of occurring, with a probability of 1/6 for each value from 1 to 6.

Learn more about probability distribution here:

https://brainly.com/question/29062095

#SPJ11

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

To learn more about motion visit:

https://brainly.com/question/27102563

#SPJ4

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To know more about Equation related question visit:

https://brainly.com/question/29538993

#SPJ11

The equation of the sphere passing through P(−6,3,8) and Q(2,−5,9) with its center at the midpoint of PQ is given as (x+2)²+(y+1)²+(z−217​)²=4129​.

The given points are P(−6,3,8) and Q(2,−5,9).

The midpoint of these points can be calculated as M, the center of the sphere.Midpoint of PQ, M = $[\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2}].

Here, x1=-6, y1=3, z1=8, x2=2, y2=-5, z2=9.

therefore M = [\frac{-6+2}{2}, \frac{3-5}{2}, \frac{8+9}{2}]$$⇒ M(−2,−1,17/2).

Now, the radius of the sphere is the distance between the midpoint and point P or Q.r=√[(-2 + 6)² + (-1 -3)² + (17/2-8)²]= √(28 + 16.25 + 0.25)= √44.5= 2√(11.125) = √(4 * 11.125) = √(44.5/4) = √11.125.

Now, the equation of the sphere is given as, $$(x-h)^2+(y-k)^2+(z-l)^2=r^2.

Substituting the values of h, k, l and r, we get;(x+2)²+(y+1)²+(z-17/2)²=11.125

Therefore, the main answer is;(x+2)²+(y+1)²+(z-17/2)²=11.125.

The main aim of the given question is to find out the equation of the sphere passing through P(-6, 3, 8) and Q(2, -5, 9) with its center at the midpoint of PQ.The midpoint of PQ is the center of the sphere.

Hence, using the midpoint formula, we can find the center of the sphere which is given as;M(−2,−1,17/2)Using the distance formula, we can find the radius of the sphere, which is given as;r = √(4 * 11.125)/4 = √(44.5/4) = √11.125The equation of a sphere with center (h,k,l) and radius r is given by;(x - h)² + (y - k)² + (z - l)² = r².

Substituting the values of h, k, l and r, we get the standard equation of the sphere as;(x+2)²+(y+1)²+(z-17/2)²=11.125.

Therefore, the conclusion is that the equation of the sphere passing through P(−6,3,8) and Q(2,−5,9) with its center at the midpoint of PQ is given as (x+2)²+(y+1)²+(z−217​)²=4129​.

To know more about midpoint formula visit:

brainly.com/question/1571794

#SPJ11

Answer:

118

Step-by-step explanation:

inscribed angle = 1/2 intercepted arc, therefore an intercepted arc is twice its inscribed angle

\(59 \times 2 = 118\)