MATHEMATICS HIGH SCHOOL

If a coin is flipped 75 times, in how many ways could there be exactly two tails?

Answers

Answer 1

Answer:

Answer:

2775 ways

Step-by-step explanation:

We have been given the case to choose exactly two tails when flipped 75 times means $^(75)C_2$

Since, $^nC_r$ is equal to $(n!)/(r!\cdot(n-r)!)$

Here n =75, r=2 substituting the values we will get

$(75!)/(2!(75-2)!)$

$n!=n\cdot (n-1)\cdot (n-2).....1$

After simplification we will get $(75\cdot 74\cdot 73!)/(2!\cdot73!)$

Cancel out the common term that is 73! we will get

after more simplification we will get $(75\cdot 74\cdot)/(2!)$

Finally, we will get $(75\cdot 74\cdot)/(2)=75\cdot37=2775$

Answer 2

Answer: I think the answer is 2774 but dont quote me on it

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What is the product of a positive number and a negative number? positive
negative
It depends on the higher number.
There is not enough information

Answers

negative

basically
negative means change sign
positive means do nothing

change sign times do nothing=change sign=negative

basically
(+)(+)=(+)
(-)(-)=(-)
(+)(-)=(-)
(-)(+)=(-)
and

(+)/(+)=(+)
(-)/(-)=(-)
(+)/(-)=(-)
(-)/(+)=(-)

answer is negative

Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?3%
4%
6%
7%

Answers

Answer:

About 3%

Step-by-step explanation:

3% of $167,000 is $5,010

5010 times the 20 years is 100200 add that to the 167000 and you get $267,200

The actual answer is about 2.4% but 3% is the closest.

Can someone explain major and minor arcs in relation to circles.

Answers

A Major Arc within a circle is something that that is more than half of the circle, and therefore, larger than the minor arc. The way in which this could be used in an example is; Tony has a pizza with 8 slices, 6 of these slices are pepperoni and 2 are chilli beef. In this case, the pepperoni slices are the major arc and the chilli beef slices are the minor arc.
The Major Arc will always be bigger than the minor arc- whether this is 181 degrees to 179, or whether this is 350 degrees to 10 degrees.
The Minor Arc is always the smallest arc, and this can be explained by; Benedict has an apple pie that has 10 slices, between him and his friends, they have eaten four slices. In this case, they have eaten the 'minor arc'
There is a picture attached, and this is the examples of a major and a minor arc.
Hope this has been able to help you :)

The price of apples went from $0.30 per lb to $0.90 per lb in three years. Find the rate of change of the price of apples.

Answers

Answer:

Hence, the rate of change of the price of apples is:

$ 0.20 per year.

Step-by-step explanation:

Let P denote the price of apples.

It is given that the initial price of apples is: $ 0.30 per lb.

i.e. P(0)=$ 0.30 per lb.

Also, the price of the apples after three years is: $ 0.90 per lb.

i.e. P(3)=$ 0.90 per lb.

Hence, the rate of the change of the price of apples is calculated by:

$Rate\ of\ change=(P(3)-P(0))/(3-0)$

Now on putting the value in the formula we obtain:

$Rate\ of\ change=(0.90-0.30)/(3-0)\n\n\nRate\ of\ change=(0.60)/(3)\n\n\nRate\ of\ change=0.20$

The rate of change is:

$ 0.20 per year.

90c-30c=60cent change

60cents/3years=20cents/year

It changed 20cents a year

32 is 40 percent of what number

Answers

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

We have,

To explain further, let's break down the calculation step by step:

We are given that 32 is 40 percent of some unknown number. Mathematically, this can be represented as:

32 = 0.40 x

To find the unknown number (represented by x), we want to isolate it on one side of the equation.

By dividing both sides of the equation by 0.40, we eliminate the 0.40 on the right side, and we have:

32 / 0.40 = x

Simplifying the left side:

80 = x

Therefore,

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ6

Further explanation

Given:

32 is 40 percent of what number?

The Process:

Let N as the number asked.

The mathematical equation of the question sentence represents as follows:

$\boxed{ \ 32 = 40 \% * N \ }$

Which can be rewritten to be

$\boxed{ \ 40 \% * N = 32 \ }$

All we have to do to get the N value is a division operation.

$\boxed{ \ If \ a * b = c, \ then \ a = c / b \ or \ b = c / a \ }$

$\boxed{ \ If \ a * b = c \ then \ a = (c)/(b) \ or \ b = (c)/(a) \ }$

$\boxed{ \ 40 \% * N = 32 \ }$

$\boxed{ \ N = 32 / 40 \% \ }$

Recall that $\boxed{ \ 40 \% = (40)/(100) \ }$

$\boxed{ \ N = 32 / (40)/(100) \ }$ ... Equation-1

Recall that $\boxed{ \ a / (b)/(c) \rightarrow a * (c)/(b) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$ ... Equation-2

Both 100 and 40 divided by 10 to make it simpler.

$\boxed{ \ N = 32 * (10)/(4) \ }$

32 is crossed out with 4, in other words dividing each other.

$\boxed{ \ N = 8 * 10 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-1:

Recall that $\boxed{ \ (40)/(100) = 0.40 = 0.4 \ }$

From Equation-1 above, we rearrange it into

$\boxed{ \ N = (32)/(0.4) \ }$

Both the numerator and denominator are multiplied by 10.

$\boxed{ \ N = (320)/(4) \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-2:

From Equation-2 above, both 100 and 40 are divided by 20.

$\boxed{ \ N = 32 * (5)/(2) \ }$

32 is crossed out with 2, in other words dividing each other.

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-3:

$\boxed{ \ 40 \% * N = 32 \ }$

Both sides are multiplied by $\boxed{ \ (100)/(40) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$

$\boxed{ \ N = 32 * (10)/(4) \ }$

$\boxed{ \ N = 32 * (5)/(2) \ }$

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Learn more

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Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation

Solve the equation 6x +2y = 10 for y in terms of x gives what function?y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5

Answers

The correct equation for y in terms of x would be, y = - 3x + 5

Hence, option 2 is true.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

6x + 2y = 10

Now, simplify the equation for y in terms of x as,

6x + 2y = 10

Subtract both sides by 6x,

2y = - 6x + 10

Divide both sides by 2,

y = - 3x + 5

So, The correct equation would be, y = - 3x + 5

Thus, option 2 is true.

To learn more about the equation visit:

brainly.com/question/28871326