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2 years ago

7

Santos flipped a coin 500 times. The coin landed heads up 225 times. Find the ratio of heads to total number of coin flips. Expr

ess as a simplified ratio.

2 answers:

Whitepunk [10]2 years ago

6 0

Here is how you do it....
You will subtract 500 minus 225 to get the number of tails. The number of tails is 275.
Now, you know your ratio is 225:500. All you need to do is simplify it.
225 divided by 25 is 9 and 500 divided by 25 is 20.
Now, the ratio that you have is 9:20.

goldenfox [79]2 years ago

4 0

5 because of 5 is 5 and then 2 is 2 that would make it 5 because the fish take broke when he walked the dog to order McDonald's

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If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

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So,

EF = BC, GF = AC

Putting the values,

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2 years ago

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Step-by-step explanation:

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2 years ago

After Paul hiked 5/6 of a mile, he was 2/3 of the way along the trail. How long is the trail?

Anvisha [2.4K]

Answer:

1.25 miles.

Step-by-step explanation:

Let x be the length of trail. We have been given that after Paul hiked $\frac{5}{6}$ of a mile, he was $\frac{5}{6}$ of the way along the trail.

Let need to find x such that $\frac{2}{3}$ of x equals $\frac{5}{6}$ .

$\frac{2}{3} x=\frac{5}{6}$

$x=\frac{5}{6}\times \frac{3}{2}$

$x=\frac{5}{2}\times\frac{1}{2}$

$x=\frac{5}{2\times 2}$

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2 years ago

Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

tester [92]

Answer:

x^2/12 - y^2/4 = 1

Step-by-step explanation:

As the diretrices have simetrical values of x and have y = 0, the center is located at (0,0)

The formula for the diretrices is:

x1 = -a/e and x2 = a/e

And the foci is located at (a*e, 0) and (-a*e, 0)

So we have that:

a/e = 3

a*e = 4

From the first equation, we have a = 3e. Using this in the second equation, we have:

3e*e = 4

e^2 = 4/3

e = 1.1547

Now finding the value of a, we have:

a = 3*1.1547 = 3.4641

Now, as we have that b^2 = a^2*(e^2 - 1), we can find the value of b:

b^2 = 3.4641^2 * (1.1547^2 - 1) = 4

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2 years ago

Which function forms a geometric sequence when x = 1, 2, 3, . . . ?

irinina [24]

Answer:

$a) f(x)=3(4)^{x}$

Step-by-step explanation:

The correct options are:

$a) f(x)=3(4)^{x}$

$b) f(x)=3(x)^{2}$

$c) f(x)=2x+4$

$d) f(x)=x+(2)^{4}$

We have to identify which of these options will form a geometric sequence. A geometric sequence is defined as the sequence in which the ratio of two consecutive terms remain the same. This ratio is known as common ratio of the sequence. General term of a geometric sequence is defined as:

$a_{n}=a_{1}(r)^{n-1}$

Here,

$a_{n}$ is the nth term of the sequence. Replacing n by different values will give us the term of the sequence at that values.

The option resembling the general term of the geometric sequence is option a, with only difference that in place on "n", the variable x is used in the option. So option a should be our answer. Lets verify this.

$f(x)=3(4)^{x}$

For x = 1, the value will be:

f(1) = 12

For x = 2, the value will be:

f(2) = 48

For x =3, the value will be:

f(3) = 192

The ratio of these terms is:

Ratio of f(2) and f(1) = 4

Ratio of f(3) and f(2) = 4

Therefore, the function given in option a represents a geometric sequence.

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