Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of​ variation?

8 9 8 7 9 15 5 6 8 4 12 7 8 2

Answer:

The first one is False.

Step-by-step explanation:

If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.

Answer:Instead of doing -2.6 - 5.4 Tom did -2.6 +5.4

ANSWER:

They are only congruent ABE and EDA.

EXPLANATION:

They are only congruent ABE and EDA, because they have exactly three equal sides, and also their internal angles have the same measure.

Vertex AD translates to vertex AB, and vertex ED translates to vertex EB.

Answer:

A. Line A

Step-by-step explanation:

Line A is decreasing so it has a negative slope.

The probability that the student got a a a given that the student was in the afternoon class is 25/57

In math the term probability is defined as based on the possible chances of something to happen

Here we have given that  a test to a group of students, the grades by the two different classes are summarized.

and it can be written like the following;

                                a             b               c                   Total

Morning class         4             20              8                    32

Evening Class         13              5               7                   25

Total                        17             25              15                  57

Here we know that the total number of students is obtained as

=> 57

And the number of students who have been taking the afternoon class is calculated as,

=> 25

Then the probability the student got a a a given that the student was in the afternoon class is written as,

=> 25/57

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step 1

Find out the value of cosθ

cosθ=8/17 ------> by CAH

step 2

Find out the value of secθ

secθ=1/cosθ

secθ=17/8

step 3

Find out the length of the vertical leg in the given right triangle

Applying the Pythagorean Theorem

17^2=8^2+y^2

y^2=17^2-8^2

y^2=225

y=15

step 4

Find out the value f cotθ

cotθ=8/15 -----> adjacent side divided by the opposite side

therefore

Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

QUESTION: Daniel's car used 8 gallons to travel 136 miles. How many miles can the car go on one gallon of gas?

ANSWER: 17

Answer:

To simulate one trial of this situation using a random number table, we can follow these steps:Step 1: Assign the digits 00-04 to represent packages not delivered on time and 05-99 to represent packages delivered on time.Step 2: Generate a two-digit random number from the random number table.Step 3: If the generated number falls between 00 and 04, count it as a package not delivered on time. If the generated number falls between 05 and 99, count it as a package delivered on time.Step 4: Repeat steps 2 and 3 until we get a package not delivered on time.The correct option is: Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Step-by-step explanation:

Answer:

Option B)  - 2 u + w  

Step-by-step explanation:

Given that the vectors u and w in components are :

u = < 5 , - 5 >   and   w = < 4, - 9 >

then the operation ;

- 2 u + w  gives:    

- 2 < 5 , - 5 > +  < 4, - 9 > = < - 10. 10 > + < 4, - 9 > =

= < - 10 + 4 , 10 - 9 > = < -6 , 1 > which are the components of the vector pictured in the image.

Answer:

3(x+4)

Step-by-step explanation:

unknown number = x

sum of a number and 4 = (x+4)

then the sum is multiplied by 3 so

3(x+4)

Also can be distributed out

3(x) + 3(4)

3x+12

The covariance of two random variables X and Y is defined as

Cov(X, Y) = E[(X - E[X]) (Y - E[Y])]

where E is expectation.

If we replace Y with X, then this reduces to just the variance of X, which is defined as

Var(X) = E[(X - E[X])²]

Answer:

Step-by-step explanation:

sinA= 8/10= 4/5

CosB= 8/10=4/5

tanB=6/8=3/4

The circumference of the pool is 26.38 meters

The radius, r is given as:

r = 4.2

The circumference, C is calculated using:

\(C =2\pi r\)

This gives

C =2 * 3.14 * 4.2

Evaluate

C = 26.38

Hence, the circumference of the pool is 26.38 meters

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Answer:

\(sqrt{-64} =8i\\\\sqrt{-15} =isqrt{15} \\sqrt{-100} =10i\\sqrt{-25} =2i\sqrt{6}\)

Step-by-step explanation:

I hope this helps

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1.6 pounds of lettuce costs :

1 pound of lettuce costs :

Answer:

A'(-3,-7) B'(-5,-12) C'(-11,-9)

Step-by-step explanation:

A(3,2) B(1,-3) C(-5,0)

Moving 6 units left and 9 units down, assume standard axes so up and right are positive, down and left are negative.
A'(3-6,2-9) B'(1-6, -3-9) C'(-5-6,0-9)
A'(-3,-7) B'(-5,-12) C'(-11,-9)

Answer:

6m

Step-by-step explanation:

To find the original length you must take away the add-ons. To do so we know that they added 7 and A= l*l (or l squared). They added the 7 to the length so multiply 7*7 (49) subtract your answer from 169 (120) and that's your new area. To find the original length divide by 4 (I believe) and get 30m2

Answer:

similar by angle angle similarity property.

Step-by-step explanation:

they have the right angles, and then the two vertical angles.

:))

For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

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Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

Set your calculator to Degree mode.

55^2 = 90^2 + 50^2 - 2(90)(50)cos(C)

3,025 = 10,600 - 9,000cos(C)

-7,575 = -9,000cos(C)

cos(C) = 101/120

C = cos^-1 (101/120) = 32.7°

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

2.5 & 3.5

Step-by-step explanation:

152 = 12+96t- 16t²

140+96t- 16t²=0

152 = 12+96t- 16t²

4t²-24t+35=0

(2t-7)(2t-5)=0

t = 2.5 & 3.5

Answer:

x = -1 or x = 3

Answer:

24a³ - 16a² + 6a + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

(4a + 2)(6a² - a + 2)

Step 2: Expand

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

59.5

Step-by-step explanation:

To find the answer, multiply 17% by 350

17% = 0.17

0.17 x 350 = 59.5