A fair coin is tossed 16 times. (10 points) what is the mean number of heads? (5 points) what is the standard deviation for the number of heads? (5 points)

Answer:

a) 6+9=15

p) -30+20= -10

m) 15-12=3

X) -10-7= -17

The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2 The slope here, is 3/2 and y-intercept is 7/2.

Now,

The slope-intercept form of an equation of a line is given by: y = mx + c, where m = slope of the line and c = y-intercept of the line.

Transforming the given equation of the line: -3x + 2y = 7

=> 2y = 7 + 3x

=> y = 3/2(x) + 7/2

On comparing it with y = mx + c, we get that: m (slope) =  3/2  and c = 7/2 (y-intercept).

Hence, The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2. The slope here, is 3/2 and y-intercept is 7/2.

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Answer:

|(10)-19| = |-9| = 9

Step-by-step explanation: Just plug it in. Oh btw the absolute value means distance from 0.

The 17 th term of each sequence a₁₈ = -5, d=12 is [tex]a_{17}[/tex] = 187.

a₁₈ = -5, d=12

[tex]a_{17}[/tex] = a + (n-1)d

[tex]a_{17}[/tex] = -5 + (16)12

[tex]a_{17}[/tex] = 187

succession: the doing of one thing after another. A list of books is presented in alphabetical order. a succession of sonnets that is continuous or connected. a later event, outcome, or repercussion; something that happens after.

A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit in the sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.

Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.

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Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .

Describe the trapezoid shape.

A quadrilateral with one set of parallel opposite sides is referred to as a trapezoid. It can have congruent sides (isosceles) and right angles (a right trapezoid), but neither is necessary.

Step 1 - Draw line DP.

Step 2 - Use a protractor to create a 50° angle with DP'.

Step 3 - Use a ruler to draw D such that DP' = DP

Step 4 - Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .

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The average speed of an automobile is a 55 miles per hour.

According to the statement

We have to find that the value of the average speed of an automobile.

So, For this purpose, we know that the

The average speed is the total distance traveled by the object in a particular time interval.

From the given information:

automobile trip of 275 miles that began at 7:30 in the morning and ended at 12:30 in the afternoon

Then

The total distance covered =  275 miles

And

The total time taken = From 7:30 in the morning to 12:30 in the afternoon

Then

The total time taken = 5 hours,

Then

Average speed =  total distance covered / total time taken

Average speed =  275 miles / 5 hours

Then

Average speed =  275 / 5

Average speed =  55 miles per hour.

So, The average speed of an automobile is a 55 miles per hour.

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One is a constant, as it has no variable besides it.

Answer: -561.6

Step-by-step explanation:

First, recall PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)

In the equation, we need to work through (2.5 - |-3 1/8|) first.

The absolute value of |-3 1/8| is 3 1/8

We change 3 1/8 to a decimal

3 1/8 = 3.125

Now Subtract (2.5 - 3.125)

This equals -0.625

Next, divide 13 by -0.625

13 ÷ -0.625 = -20.8

Then, multiply -20.8 by 3³

3³ = 27

So -20.8 × 27 = -561.6

Area of triangle A is 72.2 cm square.

Here, we are given that triangles A and B, as shown in the figure are congruent to each other.

They are also both right angle triangles.

The length of the hypotenuse of A is 17cm

and the height of triangle be = 12cm

But as these two are congruent,

height of triangle A will also be 12cm.

Now, according to Pythagoras theorem,

[tex]hypotenuse^{2} = base^{2} +height^{2}[/tex]

[tex]17^{2}[/tex] = [tex]12^{2}[/tex] + [tex]base^{2}[/tex]

289 = 144 + [tex]base^{2}[/tex]

[tex]base^{2}[/tex] = 145

base = 12.04

Thus, the area of the triangles = 1/2 * base height

= 1/2 x 12 x 12.04

= 72.2

Thus the area of triangle A will be 72.2 cm square.

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Answer: 8 feet

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Nina's rate in miles per hour is 12.711 and Nina bikes faster than Sophia.

Nina's speed can also be defined as her Average Speed.

Similarly, Sophias's speed can also be defined as her Average Speed.

We have Sophia's speed = 10 miles in hour = 10 miles per hour

What is average speed and average?

Average speed is the total distance travelled by an object to the total time taken. means,

[tex]Average Speed = \frac{Total Distance}{Total Time }\\[/tex]

Total Distance covered by Nina = 63,360ft.

[tex]1 \ mile = 5280 \ feet\\[/tex]

So,Nina's Distance (in miles) [tex]\frac{63360}{5280}= 12 \ miles[/tex]

Nina's Time (in hour) [tex]\frac{3400}{60*60}= 0.944 \ hour[/tex]

Nina's Average Speed =  [tex]\frac{12}{0.944}= 12.711 \ miles/hour[/tex]

So, Nina's Average Speed = 12.711 miles per hour

Since, Sophia's Average Speed = 10 miles per hour

Therefore, Nina bikes faster on a average speed of 12.711 miles per hour.

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Nina's rate in miles per hour is 12.711 and Nina bikes faster than Sophia.

Nina's speed can also be defined as her Average Speed.

Similarly, Sophias's speed can also be defined as her Average Speed.

We have Sophia's speed = 10 miles in hour = 10 miles per hour

What is average speed and average?

Average speed is the total distance travelled by an object to the total time taken. means,

[tex]Average Speed = \frac{Total Distance}{Total Time }\\[/tex]

Total Distance covered by Nina = 63,360ft

1 mile = 5280 feet

So,Nina's Distance (in miles) [tex]\frac{63360}{5280}= 12 \ miles[/tex]

Nina's Time (in hour) [tex]\frac{3400}{60*60}= 0.944 \ hour[/tex]

Nina's Average Speed =  [tex]\frac{12}{0.944}= 12.711 \ miles \ / \ hour[/tex]

So, Nina's Average Speed = 12.711 miles per hour

Since, Sophia's Average Speed = 10 miles per hour

Therefore, Nina bikes faster on a average speed of 12.711 miles per hour.

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The decimal point should be moved two places to the right.

The number we have given is = 6.8

We have to find how many decimal point should be moved when 6.8 is multiplied by 100

We know that when we multiply a decimal number with 10, 100, 1000,…. and so on. We shift the decimal point to the right side according to the number of zeroes present.

According to the question, we have two zeroes therefore we will shift the decimal point to the rights side two times, that is,

      6.8 * 100 = 680

Hence the decimal point should be moved two places to the right.

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Step-by-step explanation:

72+68=140°

180-140=40°

z=40°

Answer:

m = undefined

Step-by-step explanation:

I'm assuming it's "m" as in y=mx+b

(18, -7), (18, 2)

(x₁, y₁)    (x₂, y₂)

       y₂ - y₁          2 - (-7)           9

m = -----------  =  ------------  =  ----------  =  undefined

        x₂ - x₁          18 - 18            0

I hope this helps!

The Given expression in the question is this 3x+y>3; the answer to this expression is (3/4,0).

So, we need to find the solution to the given expression and then compare the answers to see if they match each other. If so, the ordered pair is the solution of the given word; if not, the ordered pair is not the solution of the given expression.

In this problem, you substitute ordered pairs of x and y values ​​into the equation.

3(3/4) + (0) > 3

9/4 + 0 > 3

9/4 > 3 No, 9/4 is not greater than 3, so the ordered pair is (3/4,0). Not the solution to the equation

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Answer:

y = 11

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex] \rightarrow \sf \: y {}^{2} =121[/tex]

Step 1: Take square root.

[tex] \sf \: y=± \sqrt{121} [/tex]

y=11 or y=−11

The probability of purple section on spinning is 1/2.

As per the given image of question, we can see there six parts of board. Out of these, three parts of board are purple colored.

Now, the formula of probability is -

Probability = number of favorable outcomes÷total number of outcomes

Number of favorable outcomes = number of purple colored parts of board

Number of favorable outcomes = 3

Number of favorable outcomes = number of colored parts of board

Number of favorable outcomes = 6

Keep the value in formula to find the probability -

Probability = 3/6

Performing division

Probability = 1/2

Hence, the probability that the spinner will land on a purple section of the board is 1/2.

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The complete question is -

Calculate the probability of the spinner landing on a purple section of the board. What is the probability that the spinner will land on a purple section if the board.

A) 1/6

B) 2/6 or 1/3

C) 3/6 or 1/2​

The value of an unknown number x will be equal to ( 15 / 4).

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 5 times, the difference between a number and 3 is x. The value of the unknown number will be calculated as:-

5 ( x - 3 ) = x

5x - 15 = x

4x = 15

x = 15 / 4

Therefore, the value of an unknown number x will be equal to ( 15 / 4).

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The most frequent numerical value in a set of data exists named the mode.

The mode in 50, 45, 55, 55, 45, 50, 55, 45, 55 is 55.

There is no mode in 89, 87, 88, 83, 86, 82, 84.

The mode in 11, 17, 14, 12, 12, 14, 14, 15, 17, 17 is 14 and 17.

A data set's mode is its most prevalent value. It is the number that appears most frequently on a list. The number with the highest sum is referred to as the mode.

The most frequent numerical value in a set of data is called the mode. In other words, the number that appears the most times in a list is the mode.

Rearranging the list of integers from least to greatest and then counting the occurrences of each number in the new order will reveal the mode. The mode is the most frequent number.

The average value in a data set exists in the most popular statistical data analysis technique, named Mean.

The median exists the data set's midway.

Mode exists the value that dominates a data set.

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Answer:

SSA stands for side-side angles.

Step-by-step explanation:

SSA means there are two known sides of a triangle and one known angle that is not between the two sides and they are equal to two known sides and a angle of another triangle, the triangles are similar (that’s what SSA has to do with similar triangles)

The equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle,x^2 + y^2 = 14, is in standard form, then

h = 0

k = 0

r = √14

Hence, the equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).

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Answer:

13 & 5

Step-by-step explanation:

Absolute for x still gives a positive X value

So: X- 4 = 9

X = 9 + 4

X = 13

|x-4| = 9

Gives X + 4 = 9

x = 9 - 4

X = 5

The answer to all the subparts are given:

(A) (f · g)(x):

So,

Plug in:

Simplify as follows:
[tex]\begin{aligned}&(f X g)(x)=\frac{1}{x}(x(x+5)) \\&(f X g)(x)=x+5\end{aligned}[/tex]

(B) Domain:

First, we will determine the domain of f(x), g(x), and (fxg) (x).

Then we can look for a common domain.

The domain of f(x):

At x=0, we know that f(x) is undefined.

As a result, the domain will be:

The domain of g(x):

[tex]g(x)=x^2+5 x[/tex]

Because it is polynomial.

As a result, the domain will be:

(C) Range:

First, we will determine the range of f(x), g(x), and (fxg) (x).

Then we can determine the common range.

f(x) range:

We know that range refers to all possible y values for which x is defined.

Because the horizontal asymptote will be at y=0.

As a result, the range is:

Range of g(x):

Because it is a quadratic equation.

As a result, its range will be:

We can now find a common range.

As a result, the range will be:

[tex](-6.25,0) \cup(0, \infty)[/tex]

Therefore, the answer to all the subparts are given:

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Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.

The formula used in converting temperature from Kelvin to Fahrenheit is expressed as;

(( x - 273.15 ) × 9/5 + 32)°F

Also, to convert temperature form Kelvin to Celsius, we use;

( x - 273.15)°C

Given that;

Convert 1 Kelvin to degrees Fahrenheit.

(( x - 273.15 ) × 9/5 + 32)°F

(( 1 - 273.15 ) × 9/5 + 32)°F

( 272.15 × 9/5 + 32)°F

( -489.87 + 32)°F

-457.87°F

Convert 1 Kelvin to degrees Celsius.

( x - 273.15)°C

( 1 - 273.15)°C

272.15°C

Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.

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The measure of the sides of ΔJKL is  17.26 units.

So,

The formula of perimeter: √√(x₂−x₁)²+(y₂−y₁)²

Filling the values in the formula, we obtain:

Then, each side of the triangle will be: 17.26 units

Therefore, a measure of the sides of ΔJKL is  17.26 units.

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Answer:its

a80

b16

c60

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. 5 × (7 + 2) = (5 × 7) + (5 × 2)

Answer:

[tex]1) \: {2}^{3} \\ 2) \: {3}^{6} \\ 3) \: {4}^{4} = 4 \times 4 \times 4 \times 4 = 256[/tex]

Answer:

g + h = 6

Step-by-step explanation:

We are told that:

• [tex]g + 9 = 4[/tex]

• [tex]h- 8=3[/tex].

To calculate the value of g + h, we have to rearrange the above equations to make g and h their respective subjects:

• [tex]g + 9 = 4[/tex]

⇒ [tex]g + 9 - 9 = 4 - 9[/tex]        [Subtracting 9 from both sides]

⇒ [tex]g = \bf -5[/tex]

• [tex]h- 8=3[/tex]

⇒ [tex]h - 8 + 8 = 3 + 8[/tex]        [Adding 8 to both sides]

⇒ [tex]h = \bf 11[/tex]

Now that we know the values of g and h, we can find the value of g + h:

[tex]g + h[/tex]

[tex]= -5 + 11[/tex]

[tex]= \bf 6[/tex]

Therefore the value of g + h is 6.