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4 years ago

An 8-sided die is rolled. Find the probability of rolling a 1 or even number

Mathematics

1 answer:

leonid [27]4 years ago

7 0

The probability of rolling a 1 or an even number is 5/8.

If there are 8 sides of the die from numbers 1-8, the numbers of the probability are 1, 2, 4, 6, and 8. That makes 5 numbers out of 8 possible numbers. So, the probability is 5/8.(62.5%)

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there are 30 marked seals. In a survey, you count 58 seals, 16 of which were marked. About how many seals are in the area? Round

Rina8888 [55]

Answer:

109 seals

Step-by-step explanation:

Let

x -----> approximate total seals in the area

we know that

In a survey, you count 58 seals, 16 of which were marked

Using proportion

Find out how many seals are in the area , if there are 30 marked seals

$\frac{58}{16} =\frac{x}{30}\\\\x=58(30)/16\\\\x=108.75\ seals$

Round to the nearest whole number

$108.75\ seals=109\ seals$

6 0

3 years ago

Which lines are perpendicular?

makkiz [27]

Given:

Line A: $y=\frac{1}{2} x+2$

Line B: $y=\frac{-1}{2} x+7$

Line C: $y=2 x+4$

Line D: $y=\frac{1}{2} x+\frac{5}{4}$

To find:

Which lines are perpendicular

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept.

Slope of line A = $\frac{1}{2}$

Slope of line B = $\frac{-1}{2}$

Slope of line C = 2

Slope of line D = $\frac{1}{2}$

Two lines are perpendicular if their slopes are negative reciprocal of one another.

$$\Rightarrow m_1=\frac{-1}{m_2}$

$$\frac{-1}{2}=-(-2)=2$

Negative reciprocal of $\frac{-1}{2}$ is 2.

Therefore line B and line C are perpendicular lines.

6 0

4 years ago

When is the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-7%7D%7Bx%5E2-4x-21%7D%20%3D%5Cfrac%7B1%7D%7Bx%2B3%7D" id="Tex

Vladimir79 [104]

Notice that

$x^2 - 4x - 21 = (x - 7) (x + 3)$

so on the left side, a factor of x - 7 in the numerator and denominator can cancel

$\dfrac{x-7}{x^2-4x-21} = \dfrac{x-7}{(x-7)(x+3)} = \dfrac1{x+3}$

But we can only cancel them out as long as x ≠ 7 (because otherwise we'd have the indeterminate form 0/0 on the left side).

So, the equation is true for all x except x = 7. In set notation,

$\{x \in \mathbb R \mid x \neq 7\}$

In interval notation,

$(-\infty,7)\cup(7,\infty)$

8 0

3 years ago

Which statement is true about the circumference of a circle? The circumference is equal to the radius of the circle. The circumf

Degger [83]

Answer is The circumference is found by multiplying pi by the diameter.

3 0

3 years ago

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Help appreciated. How many hours of training would you need to have a salary of $2,000?

Angelina_Jolie [31]

Answer: you will have 56

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers