519.6 x 10.86


by process.​

The value of z test statistics is 2.83.

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.

Given mean = x = 36.1 inches

standard deviation = σ = 0.3

sample size = n = 72

and μ = 36.1

here z = (x - μ)/(σ/[tex]n^{1/2}[/tex])

z = (36.1 - 36 )(0.3/[tex]72^{1/2}[/tex])

z = 0.1/0.0354

z = 2.8248

z = 2.83

Hence the value of z test is 2.83.

Learn more about z score;

https://brainly.com/question/29992635

#SPJ2

Answer:

144 deaths

Step-by-step explanation:

So, assuming it's not a leap year 30,300 must be divided by the number of days in the year to get the daily amount.

30,300/365 = 114.339....

since 3 is not greater than 5, the 144 does not round up but stays the same.

(Since you cannot have a fraction of a death)

114 is your answer

hope this helps :)

Answer:

Step-by-step explanation:

There are 3 triangles in the picture: the one on the left, the one on the right, and the overall triangle. We must first find the areas of the two smaller triangles before finding the area of the whole thing.

To find the area of a triangle, you must multiply the two legs of the triangle by each other and then divide that number by 2. For the left triangle, this would be [tex](4*4)/2=8[/tex], meaning it has an area of 8 square meters. For the right triangle, this would be [tex](4*3)/2=6[/tex], meaning the triangle on the right has an area of 6 square meters.

There are multiple ways to find the area of the big triangle, since the hypotenuse of the left triangle has been rounded. One way to find the area of the big triangle,is to add the areas of the two smaller triangles: [tex]8+6=14[/tex] square meters. For a more exact answer, we would solve [tex](5.7*5)/2=14.25[/tex]sqaure meters using the legs of the big triangle.

Hope this helps! :)

Answer:

false

Step-by-step explanation:

there is not enough information in order to apply theorems such as:

SSS

SAS

AAS

among others

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Finding x

Substitute in the equation

Answer:

[tex]\huge\boxed{\bf\:\frac{4}{3} }[/tex]

Step-by-step explanation:

If, [tex]x^{2} = 64[/tex], then,

[tex]x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8[/tex]

Now, remember that any number when folllowed by exponent 0 will always have its value as 1.

Then,

[tex]\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }[/tex]

[tex]\rule{150pt}{2pt}[/tex]

[tex]\displaystyle \int^0_{-2} (x^2 +x )~dx\\\\\\=\displaystyle \int^0_{-2} x^2~ dx +\displaystyle \int^0_{-2}x ~ dx\\\\\\=\dfrac 13 \left[x^3 \right]^{0}_{-2}+ \dfrac 12 \left[ x^2\right]^{0}_{-2}\\\\\\=\dfrac 13 (0+8) + \dfrac 12 (0-4)\\ \\\\=\dfrac 83 - \dfrac 42\\\\\\=\dfrac 83 - 2\\\\\\=\dfrac 23[/tex]

Answer:

c

Step-by-step explanation:

As, there is no as such information regarding to number of students who collected exactly 4 bottles in histogram.

Answer:

If the four number sentences at the bottom are the choices for your answer the correct one would be choice A or 1.  

I hope this is what you meant if not I'll try to take my answer down and try to answer it again correctly!

The direction of the north is taken as positive on the x-axis that is (x + 5, y). Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For the first part of the obstacle course.

Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.

Then the coordinate point will be

Let the direction of the north is taken as positive on the x-axis. Then we have

(x, y) → (x + 5, y)

Thus, the correct option is B.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Answer:

m = 1.5

Step-by-step explanation:

Find two points

(-2,-1) and (0,2)

now use slope formula

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

2-(-1)/0-(-2)

3/2 = 1.5

slope is 1.5

A mean is an arithmetic average of a set of observations. The value of the unknown number is 16.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Let the unknown number be represented by x.

As per the formula of averages, we can write,

Mean = (Sum of observations)/Number of observations

(7 + 8 + 21 + 33 + x)/5 = 17

(69 + x) / 5 = 17

Multiply both the sides of the equation by 5,

(69 + x)/5 × 5 = 17 × 5

69 + x = 85

Subtract 69 from both the sides of the equation,

69 + x - 69 = 85 - 69

x = 16

Hence, the value of the unknown number is 16.

Learn more about Mean here:

https://brainly.com/question/16967035

#SPJ2

Answer:

x³ + 5x² + 2x - 8

Step-by-step explanation:

1) Distribute

(x + 4) (x² + x - 2)

x(x² + x - 2) + 4 ( x² + x - 2)

2) Distribute

x(x² + x - 2) + 4 (x² + x - 2)

x³ + x² - 2x + 4 (x² + x - 2)

3) Distribute

x³ + x² - 2x + 4 (x² + x - 2)

x³ + x² - 2x + 4x² + 4x - 8

4) Combine like terms

x³ + x² - 2x + 4x² + 4x - 8

x³ + 5x² - 2x + 4x - 8

5) Combine like terms

x³ + 5x² - 2x + 4x - 8

x³ + 5x² + 2x - 8

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

Learn more about the area here:

brainly.com/question/14383947

#SPJ1

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:

Quadratic

y = a · x² + b · x + c

This function is reduced into a linear function when a = 0.

Exponential

[tex]y = a \cdot b^{c\cdot t}[/tex]

Where:

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

The statement is poorly formatted. The correct statement is presented below:

Identify the type of function represented by f(x) = 3 · 1.5ˣ:

A. Quadratic

B. Exponential decay

C. Linear

D. Exponential growth

To learn more on exponential functions: https://brainly.com/question/11487261

#SPJ1

Answer: 17/100

Step-by-step explanation:

63/100 is sweaters and 20/100 is jeans and when you add them together you get 83/100. 100/100-83/100=17/100

Answer:

79 ft

Step-by-step explanation:

Golden rectangle side ratios   1 : (1+sqrt5 )/2

      (approx  1: 1.618)

15 + 15   +  2*15*1.618 = ~79 ft

BUT perhaps the 15 is the 1.618 side

15/1.618 + 15/1.618   + 15 + 15   ~ 49 feet

Answer:

inequality form: x [tex]\leq[/tex] -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.

Answer:

B: 7

Step-by-step explanation:

9x = 63

9/63 = 7

The number that is in the solution set of [tex]9x=63[/tex] is [tex]7[/tex]

Answer:

picture?

Step-by-step explanation:

Answer:

$12089.26

Step-by-step explanation:

10,000

1.024 (100% of 10,000 + 2.4%)

1.024 * 10,000 = 10240 (1 year)

1.024 * 10240 = 10485.76 (2 years)

1.024 * 10737.42 = 10995.12 (3 years)

1.024 * 10995.12 = 11259 (4 years)

1.024 * 11259 = 11529.22 (5 years)

1.024 * 11529.22 = 11805.92 (6 years)

1.024 * 11805.92 = 12089.26 (7 years)

Answer:

Step-by-step explanation:

P(less than 6) = 2/5

There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".

That's how we get to 2/5

Answer: 9.

Step-by-step explanation: To find the MAD (mean absolute deviation) we need to do the following steps below:

1. Find the mean.

2. Subtract the mean from the numbers of the data.

3. Add the results and divide to find the MAD.

The steps are done below:

1. Find the mean: In order to find the mean of a data set, you need to add all the numbers and then divide the result by how many numbers there are in the data set.  In this problem, there are 10 numbers in the data set, so whatever we get for adding the data numbers together needs to be divided by 10.

2. Subtract the mean from the numbers of the data: To do this, we need to subtract 33 from all the numbers on the data.  The following is done below. (*Note: You may notice that most equations like 26 - 33 would be in the negatives, but for data, it has to be positive.  If you ever run into a situation like that, you simply just make it positive).

3. Add the results and divide to find the MAD: Now that we have the results, we add those numbers and then divide to find the MAD.  Make sure that when you divide that it is 10 that you're dividing because once again, there are 10 numbers for the results.

Therefore, 9 is the MAD.

Let me know if this is right! :)

Answer:

change below :)

Step-by-step explanation:

You would start out at in the middle of a number line (horizontal). After the first play, you would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position. You would do the same thing for the next two plays, moving 5 spots to the left each play and creating a new starting point each time. The total spots moved after the 3 plays is 15 spots to the left.

Answer:

Length: 7 11/27 ft.

Step-by-step explanation:

200/27 = 7 11/27

Answer:

Car insurance

Step-by-step explanation:

Because most people will start driving at the age of 15 and have a license by the age of 16. In order to drive a car, you will need car insurance.

Hope this helps!

Answer:

D

Step-by-step explanation:

Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.

Answer:

2^2 × 7

hope this helps

Step-by-step explanation:

:))

Answer:

x = -5

Step-by-step explanation:

[tex]0.00005 = 5 \times {10}^{ - 5} \\ \\ \implies \: x = - 5[/tex]