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3 years ago

Choose one of the 50 states at random. a.) what is the probability that it begins with M?

Mathematics

2 answers:

CaHeK987 [17]3 years ago

6 0

There are 8 states that begin with the letter m, so it would be 8/5 which = .16

Kamila [148]3 years ago

3 0

List of U.S states that start with M:

1.Maine
2.Maryland
3.Massachusetts
4.Michigan
5.Minnesota
6.Mississippi
7.Missouri
8.Montana

There are 8 states that start with the letter "M".
There are 50 states so the probability/ratio is 8:50 or $\frac{8}{50}$

But to reduce to lowest terms, you need to find a common factor.
2 is a common factor.

Divide both sides by 2. 8÷2=4 and 50÷2=25

It is 4:25 which is also $\frac{4}{25}$

If you want the percentage instead of the ratio, divide the numerator (top number) by the denominator (bottom number)

$4$ ÷ $25=.16$

Multiply by 100 and you get 16 which is equivalent to 16%

Answer:

4:25 (ratio/probability)
or
16% (percentage)

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Step-by-step explanation:

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3 years ago

The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec

igomit [66]

Answer:

The length is 7 m

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Step-by-step explanation:

length = x

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From there

x * (2x - 4) = 70

$2x^{2}$ - 4x = 70

$2x^{2}$ - 4x - 70 = 0

$x^{2}$ - 2x - 35 = 0

Now we have a quadratic equation, which is a $x^{2}$ + bx + c = 0, where a $\neq$ 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = $-2^{2}$ - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are $\frac{- b - \sqrt{D} }{2a}$ and $\frac{- b + \sqrt{D} }{2a}$

$x_{1}$ = $\frac{- (-2) - \sqrt{144} }{2}$ = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

$x_{2}$ = $\frac{- (-2) + \sqrt{144} }{2}$ = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

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3 years ago

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3 years ago

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Answer:

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4 years ago

Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs

Lera25 [3.4K]

Answer:

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Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

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If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

$|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\$

If the modulus function is positive then:

$h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245$

If the modulus function is negative then:

$-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\$

multiply through by -1

$-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h$

combining the resulting inequalities, the estimate of the possible range of heights will be $130.2845\leq h\leq 137.7245$

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