I’ll give you 15 point just help

No, it does not matter who will go first as the probability of getting both head and tail after flipping a coin is equal to ( 1 / 2 ).

As given in the question,

Number of players playing the game = 2

Number of coins to flip = One

Possible outcomes after flipping a coin = { Head , Coin }

Probability of getting a head

= (Number of favourable outcomes) / ( Total number of outcomes)

= 1 / 2

Probability of getting a tail

= 1 / 2

Either you tossed first or second chances are fifty percent.

Therefore, it does not matter who will go first as probability of getting head and tail is ( 1 / 2) after flipping a coin.

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The linear functions in each context are presented as follows:

1. y = -0.5x + 4.

2. y = 2x - 1.

3. y = 0.4x + 1.4.

4. C(t) = 7t + 8.

A linear function is defined by the equation presented below:

y = mx + b.

In which the meaning of the variables m and b is presented as follows:

For item 1, the line crosses the y-axis at y = 4, hence the intercept is given as follows:

b = 4.

When x increases by 8, y decays by 4, hence the slope is given as follows:

m = -4/8 = -0.5.

Hence the equation is:

y = -0.5x + 4.

When two lines are perpendicular, the multiplication of their slopes is of -1, hence:

-0.5m = -1

m = 2.

Then:

y = 2x + b.

When x = -1, y = -3, hence the intercept is calculated as follows:

-3 = -2 + b

b = -1.

Hence the equation is:

y = 2x - 1.

For item 3, the slope is calculated as the change in y divided by the change in x, hence:

m = (3 - 1)/(4 - (-1)) = 2/5 = 0.4.

Hence:

y = 0.4x + b.

When x = 4, y = 3, hence the intercept is calculated as follows:

3 = 0.4 x 4 + b

b = 3 - 1.6

b = 1.4.

Hence the equation is:

y = 0.4x + 1.4.

For cost functions, we have that:

Hence, for item 4, the equation is:

C(t) = 15 + 7(t - 1) -> considering that 7 is only charged after the first hour

C(t) = 15 + 7t - 7

C(t) = 7t + 8.

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Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

The distance between points B and C on the graph is equal to: D. √34 units.

In Mathematics, Pythagorean's theorem is represented by the following mathematical expression:

c² = a² + b²

Where:

a, b, and c represent the side length of any right-angled triangle.

In order to determine the distance between points B and C in right-angled triangle ABC, we would have to apply Pythagorean's theorem.

BC² = AB² + AC²

BC² = 5² + 3²

BC² = 25 + 9

BC² = 34

BC = √34 units.

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Answer:

100°

Step-by-step explanation:

Answer:

it is 100

Step-by-step explanation:

Since the two opposite angles in a rhombus are equal

Answer:

1. C

2. D

3. probably A

hope this helps.

Answer:

.16

Step-by-step explanation:

if you divide 2 min into 12 it's going to give you the rate which is .1666666667 and just say .16 each person

Answer:

There are 16 girls.

Step-by-step explanation:

3 : 4

12 : x

Now if we cross multiply:

3(x) = 12(4)

3x = 48

x = 16

The values of the variables are a = -1.25, b = 10 and c = 40

From the question, we have the following parameters that can be used in our computation:

p(t) =at² +bt +c

When this equation is expressed in vertex form, the equivalent is

p(t) =a(t - h)² + k

Where

Vertex, (h, k) = (4, 20)

So, we have

p(t) = a(t - 4)² + 20

From the graph, we have

Point (0, 0)

This means that

a(0 - 4)² + 20 = 0

So, we have

16a = -20

This gives

a = -1.25

Substitute a = -1.25 in p(t) = a(t - 4)² + 20

p(t) = -1.25(t - 4)² + 20

Expand the bracket

p(t) = -1.25(t² - 8t + 16) + 20

So, we have

p(t) = -1.25t² + 10t + 20 + 20

Evaluate the sum

p(t) = -1.25t² + 10t + 40

This means that a = -1.25, b = 10 and c = 40

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Answer:(n=6n)

Step-by-step explanation:

Answer: 35%

Step-by-step explanation:

$70,000 was the down payment for a total price of $200,000.

Down payment percentage = 70,000 / 200,000

= 0.35

= 35%

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The average temperature decrease of -6.5 degrees/km Celsius is known as Normal lapse rate.

Normal lapse rate is defined as the decrease in the temperature while moving upwards in the atmosphere. Normally, the rate of decrease is 1 degree Celsius for every 165 meter rise in altitude or we can say that it is 6.5 degree Celsius for every 1 km rise in altitude.

This lapse rate is known as normal lapse rate or environmental lapse rate.

This is why when we move higher in the atmosphere, we experience low temperatures. On average this decrease is equal to the amount of temperature as discussed in the normal lapse rate.

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Answer:

Step-by-step explanation:

To find the real zeros of f(x) = x²-4x-2, we can use the quadratic formula:

x = (-b ± √(b²-4ac)) / 2a

Here, a = 1, b = -4, and c = -2.

x = (4 ± √(16+8)) / 2

x = (4 ± 2√6) / 2

x = 2 ± √6

Therefore, the real zeros are located between 2-√6 and 2+√6, which is approximately between 0.17 and 3.83.

So, the answer is (d) between 3&4 and 0&1.

Answer:

To make a table NOT a function you can make any input value lead to two or more outputs.

Step-by-step explanation:

Ex.

(2,3)

(1,4)

(6,7)

(2,8)

The areas of both parallelograms compare in that: They both have the same area

The coordinates of Parallelogram ABCD are given as:

A(4, 2), B(7, 2), C(4, 6), D(1, 6).

The coordinates of Parallelogram EFGH are:

E(-2, 2), F(-5, 2), G(-6, 6), and H(-3, 6)

The area of a parallelogram is given by the formula:

Area = base * height

So: To do this, we plot ABCD and EFGH on a grid, then we measure the base and the height of both.

For ABCD:

base = 3

height = 4

Area = 3 * 4 = 12 sq.units

For EFGH, we have same thing:

Area = 3 * 4 = 12 sq.units

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Complete question is:

On a coordinate plane, parallelograms A B C D and E F G H are shown. Parallelogram A B C D has points (4, 2), (7, 2), (4, 6), (1, 6). Parallelogram E F G H has points (negative 2, 2), (negative 5, 2), (negative 6, 6), and (negative 3, 6). How do the areas of the parallelograms compare? The area of parallelogram ABCD is 4 square units greater than the area of parallelogram EFGH. The area of parallelogram ABCD is 2 square units greater than the area of parallelogram EFGH. The area of parallelogram ABCD is equal to the area of parallelogram EFGH. The area of parallelogram ABCD is 2 square units less than the area of parallelogram EFGH.

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

Answer:

-(14 - 7x); 7(x - 2); 3x - 14 + 4x

Step-by-step explanation:

for -(14 - 7x) when the negative is distributed you get -14 + 7x which is still 7x - 14

for 7(x - 2) when multiplied in you get 7x - 14

for 3x - 14 + 4x when added together you get 7x - 14

The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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Answer:

169

Step-by-step explanation:

Given data

The function is

5x^2+7x=6​

rearrange

5x2+7x-6=0

From the above expression, we can see that

a=​5

b=7

c=-6

Substitute into the expression b^2-4ac

=7^2-4*5*-6

= 49-(-120)

=49+120

=169

Hence the answer is 169

Answer:

y=0  x=2

Step-by-step explanation:

Answer:

x=2+5y

and

x=2-y/2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

find mean of given numbers u notice that mean is actually 6 so no number is required to be included

Answer:

Step-by-step explanation:

Mean is the average

4.

Data given:

The mean is

5. Let the added number is x, then the mean is:

Answer:

price of tv = 3000

discount =1560

discount % = 1560/3000 * 100% = 52%

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Formula =discount ×100÷original price

1560×100÷3000=52%

The answer is A) 3x0.36, which is approximately equal to 4.68

Since cos(B) = 0.36, we can use the Pythagorean identity

To find sin(B):

sin^2(B) + cos^2(B) = 1

sin^2(B) = 1 - cos^2(B)

sin(B) = sqrt(1 - cos^2(B)) = sqrt(1 - 0.36^2) = sqrt(0.8736) ≈ 0.934

Now we can use the sine ratio to find side a:

sin(B) = a/c

a = sin(B) * c = 0.934 * 5 = 4.67

So the answer is A) 3x0.36, which is approximately equal to 4.68               (close to our calculated value for side a).

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Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains is -18.72% < (p₁ - p₂) < 4.72%

Step-by-step explanation:

The given parameters are;

Sample size of the women sample, n₁ = 200

Percentage of the women that prefer beach, p₁ = 45%, \(\hat p_1\) = 0.45

Sample size of the men sample n₂ = 300

Percentage of the men that prefer beach, p₂ = 52%, \(\hat p_2\) = 0.52

Confidence level of the confidence interval = 99%

α = 1 - 0.99 = 0.01, therefore, α/2 = 0.005

The equation for the confidence interval for the difference between two proportions is given as follows;

\(\left (\hat{p}_{1} - \hat{p}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{\hat{p}_{1}(1-\hat{p}_{1})}{n_{1}}+\dfrac{\hat{p}_{2}(1-\hat{p}_{2})}{n_{2}}}\)

\(z_{\alpha /2}\) = ±2.57 from the z score tables

Plugging in the vales, we have;

\(\left (0.45 - 0.52 \right )\pm 2.57\sqrt{\dfrac{0.45(1-0.45)}{200}+\dfrac{0.52(1-0.52)}{300}}\)

Which gives;

-0.1872 < \((\hat p_1 - \hat p_2)\) < 0.0472

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains = -18.72% < (p₁ - p₂) < 4.72%.

Answer:

  -1/2

Step-by-step explanation:

You want the limit as x→0 of the ratio (6x -sin(6x))/(6x -tan(6x)).

The given expression evaluates at x=0 to (0 -0)/(0 -0) = 0/0, an indeterminate form. Hence, L'Hôpital's rule applies.

The ratio of derivatives of the numerator and denominator is ...

  (6 -6cos(6x))/(6 -6sec²(6x))

which still evaluates to 0/0 at x=0.

Applying L'Hôpital's rule a second time gives ...

  \(\dfrac{36\sin(6x)}{-72\sec^2(6x)\tan(6x)}=\dfrac{-\cos^3(6x)}{2}\)

At x=0, this evaluates to -1/2.

The limit as x→0 is -1/2.

__

Additional comment

We like to check these limits using a graphing calculator. The graph is in the second attachment.

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