3. Find the mean and range of the following data.
14, 14, 15, 15, 16, 15, 15, 16

A 15; 15
B 12; 15
C 12; 2
D 15; 2

Answer:

1/4

Step-by-step explanation:

Flip a fair two sided coin 4 times, the probability the first or last flip is a tail is

P = (1/2) x 1 x 1 x (1/2) = 1/4

(The probability of getting tail in first flip = 1/2, in the 2nd and 3rd flip, tail and head are both accepted, the probability of getting tail in last flip = 1/2)

Hope this helps!

Answer:

B

Step-by-step explanation:

Geometric series converge if |r| < 1.

A) r = 3

B) r = 1/2

C) r = -4

D) r = 2

Only B has |r| < 1.

The converging sequence of geometric progression is given by the relation A = 1 + 1/2 + 1/4 + 1/8 ... where the common ratio r = 1/2

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A = 1 + 1/2 + 1/4 + 1/8 ...

Now , the common ratio r of the GP is

r = second term / first term

On simplifying , we get

r = ( 1/2 ) / 1

r = 1/2

So , when | r | < 1 , the GP is a converging series

Hence , the GP is converging series

To learn more about geometric progression click :

https://brainly.com/question/1522572

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Answer:

Distance between 2 boats= 5.86m (3 s.f.)

Actual distance from farther boat from top of cliff= 16m

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

The range is {4,5,7}

Step-by-step explanation:

The range of a relation is the output values  The values are 4,7,5  we normally put them in order from smallest to largest

The range is {4,5,7}

The open circle means we do not include the endpoint, hence the use of a greater than symbol. If we were to include the endpoint, then we'd have greater than or equal to. We can rule out choice B due to this reasoning.

The ray pointing to the right indicates we are talking about x values larger than 5, so we can rule out choice A and conclude the answer is C.

Side note: The notation [tex]x \in \mathbb{R}[/tex] is saying "x is a real number"

Answer:

580

Step-by-step explanation:

"128 less than a number is 452" is represented by:

n - 128 = 452

Solve for 'n':

n - 128 + 128 = 452 + 128 (Addition Property of Equality)

n = 580

Answer:

the answer is square root 5 over 2 square root 2

Step-by-step explanation:

Answer:

The proportion of the variability seen in math achievement that can be predicted by math attitude is 0.78, the same value as the correlation coefficient.

Step-by-step explanation:

The correlation coefficient r between this two variables is found to be 0.78.

This coefficient can be calculated as:

[tex]r=\dfrac{SSY'}{SSY}[/tex]

where SSY' is the sum of the squares deviation from the mean for the predicted value and SSY is the sum of the squares deviation from the mean for the criterion variable.

Then, the value of the coefficient r is giving the proportion of the variability seen in the criterion value Y that can be explained by the predictor variable X.

Answer:

r=SSY'/SSY

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

AAS is one of the POSTULATE to prove triangles' congruency.

Answer:n

Step-by-step explanation:

Answer:

E. 400

Step-by-step explanation:

So this is how we set this up, and how we solve

[tex]0.25x=100\\x=100/0.25\\x=400[/tex]

Hope this helps!

So you are solving for circumference of a quarter circle: [tex]\frac{1}{4}2 \pi r[/tex]

r= 28

[tex]\pi=3.14[/tex]

[tex]\frac{1}{4}2(87.92)=\\43.96[/tex]

Answer:

Step-by-step explanation:

The given data is expressed as

1204, 1206, 1345, 1306, 1207, 1078, 1357, 1232, 1228, 1302, 1189, 1177, 1083, 1094, 1326, 1071, 1427, 1348, 1420, 1253, 1270

The number of items in the data, n is 21. The lowest value is 1071 while the highest value is 1427. The convenient starting point would be 1070.5 and the convenient ending point would be 1427.5

The number of class intervals is

√n = √21 = 4.5

Approximately 5

The width of each class interval is

(1427.5 - 1070.5)/5 = 72

The end of each class interval would be

1070.5 + 72 = 1142.5

1142.5 + 72 = 1214.5

1214.5 + 72 = 1286.5

1286.5 + 72 = 1358.5

1358.5 + 72 = 1430.5

The frequency for the fifth class, that is between 1358.5 to 1430.5 would be 2

Answer:

The answer is A: ( - ∞, 1 )

Step-by-step explanation:

Answer:

both rotational and reflectional

Answer: both rotational and reflectional

Step-by-step explanation: a p e x

Answer:

5/6

Step-by-step explanation:

Find the factor that divides both numbers...

25/5=5

30/5=6

5/6 is the simplified ratio

P.S. Please give me brainliest, i have only have two!

Answer:

1/3:1/4

Step-by-step explanation:

203/259

write in simplest form

2 hours to 45 seconds

Express ratio

15:1

simplest form

1/3:1/4

Answer:

f

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

Coordinates of the vertices of the rectangle were A(0, 0), B(a, 0), C(a, b) and D(0, b)

Formula to determine the distance between two points with the vertices (x, y) and (x', y') is,

d = [tex]\sqrt{(x-x')^2+(y-y')^2}[/tex]

For the length of AD,

AD = [tex]\sqrt{(0-0)^2+(b-0)^2}[/tex]

     = [tex]\sqrt{b^2}[/tex]

     = b

Therefore, Option (B) will be the answer.

Answer:

Sorry, I cant understand rewrite it again.

Answer: (Multiply by 3)

63 pages in 3 hours

Step-by-step explanation:

Answer:

To go from 1 hour to 3 hours, you

✔ multiply by 3

.

Damian can read

✔ 63

pages in 3 hours.

Step-by-step explanation:

Answer:

Search Results

Featured snippet from the web

Which means that the first number is 104, the second number is 104 + 1 and the third number is 104 + 2. Therefore, three consecutive integers that add up to 315 are 104, 105, and 106.

Step-by-step explanation:

Answer:

For the first question we just plug in the values so we get 5 - 2 * 5 = -5.

Again, for the second one we'll plug in the values and see if it's a true statement. 5 - 2 * 5 = -5 and -5 = -5 so the answer is yes.

Answer: See below

Step-by-step explanation:

The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.

[tex]m=\frac{-1-(-3)}{2-(-3)} =\frac{2}{5}[/tex]

Now that we have the slope, we can fill out the point-slope equation.

y-(-3)=2/5(x-(-3))

y+6=2/5(x+3)

This is the point-slope form.

Now, we can distribute and solve to get slope-intercept form.

y+6=2/5x+6/5

y=2/5x-24/5

Answer:

  x = 20

Step-by-step explanation:

The congruence statement tells you that angle A is congruent to angle D. (Both are listed first in the triangle names.) This means ...

  ∠A = ∠D

  3x -10 = 2x +10

  x = 20 . . . . . . . . . . add 10-2x to both sides

Answer:

Which statements?

Step-by-step explanation:

Can you write the statements please?

Answer: D. 5

Step-by-step explanation:

Typically when you have exponents in a form like this, you would multiply 1/3 with 3 to get 1/3 * 3/1. The threes cancel out and you're left with an exponent of 1. And 5 to the 1 power is 5.

Answer:

its A

Step-by-step explanation:

ed 2020

Answer:

Step-by-step explanation:

Given: DE║BC

To prove: [tex]\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}[/tex]

                Statements                           Reasons

1). DE║BC                                   1). Given

2). ∠1 ≅ ∠4, ∠3 ≅ ∠4                2). Corresponding angles theorem

3). ΔADE ~ ΔABC                      3). AA Similarity theorem

4). [tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}[/tex]                                4). Corresponding sides are proportional

5). [tex]\frac{\text{AD+DB}}{\text{AD}}=\frac{\text{AE+EC}}{AE}[/tex]                   5). Segment addition postulate

6). [tex]1+\frac{\text{DB}}{\text{AD}}=1+\frac{\text{EC}}{\text{AE}}[/tex]                   6). [tex]\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}[/tex]

7). [tex]\frac{\text{DB}}{\text{AD}}=\frac{\text{EC}}{\text{AE}}[/tex]                                7). Subtract 1 from both sides

8). [tex]\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}[/tex]                               8). Take the reciprocal of both sides

Answer:

13

Step-by-step explanation:

I think

Answer:

12x+40

Step-by-step explanation:

A=l*w

A=20(3/5x+2)

A=4*3x+20*2

A=12x+40

Answer:

[tex] = 12x + 40[/tex]

Step-by-step explanation:

[tex]area = l \times b \\ = 20 \times (\frac{3}{5} x + 2) \\ = \frac{60x}{5} + 40 \\ = 12x + 40[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

let speed of freight train be x

speed of passenger train = x+6

Passenger train distance = 280 miles

freight train 250 milesthe times taken for these distances is the same

280/(x+6)=250/x

280x=250(x+6)

280x=250x+1500

30x = 1500

x= 50 mph the speed of freight train.

x+6= 50+6 = 56mph = speed of passenger train.

Answer:

So your question was not very clear but with (f+g) im guessing thats f(x)+g(x)

So first we add them x^2+4x-32   +   x-4 then we will get x^2 + 5x - 36

Then we need to multiply both

(x^2+5x-36)(x^2+5x-36)

=

(x^2+5x-36)^2

The only reason im not solving it out is because it yields large numbers and you might not understand.