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2 years ago

Use the theoretical method to determine the probability of the outcome or event given below.

Mathematics

1 answer:

dedylja [7]2 years ago

3 0

Answer:

$\frac{1}{7}$ probability that the next president of the United States was born on Monday

Step-by-step explanation:

A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.

The next president of the United States was born on Monday

Any person, including the next president of the United States, can be born on 7 possible days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday, one of which is Monday.

$\frac{1}{7}$ probability that the next president of the United States was born on Monday

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You need to cross a canal and want to determine the distance across the opposite side. Since you're able to take measurements on

MariettaO [177]

Answer:

36.7 ft

Step-by-step explanation:

Measurements for the sides of the canal is given as: 40 ft. and 16 ft.

You solve the above question using Pythagoras Theorem

The distance across the canal is calculated as:

√(40² - 16²)

= √(1344)

= 36.66060556 ft

Approximately = 36.7 ft

Therefore, the distance x across the canal = 36.7 ft

8 0

3 years ago

If |AB| / |DE|=7/5 then what is |AD| / |CD|?DE is parallel to AB

Dmitriy789 [7]

Answer: AD/CD = 2/5

Explanation:

Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)

Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,

AB/DE = BC/EC = AC/DC

From the information given,

AB/DE = 7/5

Thus,

AC/DC = 7/5

AD + CD = AC

(AD + CD)/DC = 7/5

AD/DC + CD/DC = 7/5

AD/DC + 1 = 7/5

AD/DC = 7/5 - 1

AD/DC = 2/5

AD/CD = 2/5

4 0

10 months ago

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$