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3 years ago

6

Bateman's jar of marbles contains 8 blue marbles. 6 yellow marbles, and 9 tiger eyes. Bateman pulls a blue marble without puttin

g it back in the jar and then pulls a yellow marble. Does the outcome of the second event depend on the outcome of the first event ?

1 answer:

xeze [42]3 years ago

7 0

Answer: no

Step-by-step explanation:

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A scientist finds the distances d that two snakes travel in a time of t seconds. the equation 16t = d represents the relationshi

wlad13 [49]

From the equation given, the time for the black mamba snake to cover distance d, will be d/16 while that for the the rought-scaled snake would be d/1.5.
Assume that the distance covered by both snakes is 200 meters;
Then,
Time taken by the black mamba is 200/16 = 12.5 seconds, and
Time taken by the rought-scaled snake is 200/1.5 = 133.33 seconds
Clearly the black mamba is faster at 12.5 seconds compared with the rought-scaled snake.

4 0

3 years ago

What percent of 250 is 100?

mr_godi [17]

Answer:

40%

Step-by-step explanation:

100 is 4p% of 250

hope it helped!

7 0

2 years ago

List all possible rational roots. Then use synthetic division to confirm which rational roots exist:

Kisachek [45]

Answer:

$\boxed{(1) \, x = \, \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10; (2) \, x = -2}$

Step-by-step explanation:

2x³+ 6x² - x - 10 = 0

(1) Possible roots

The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

$\text{Possible rational root} = \dfrac{ p }{ q } = \dfrac{\text{factor of constant term}}{\text{factor of leading coefficient}}$

In your function, the constant term is -10 and the leading coefficient is 2, so

$\text{Possible root} = \dfrac{\text{factor of 10}}{\text{factor of 2}}$

Factors of 10 = ±1, ±2, ±5, ±10

Factors of 2 = ±1, ±2

$\text{Possible roots are } \large \boxed{\mathbf{x = \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10}}$

(2) Synthetic division

Rather than work through all 12 possibilities, I will do one that works.

$\begin{array}{r|rrrr}-2 & 2 & 6 & -1 & -10\\& & -4& -4 & 10\\& 2 & 2& -5 & 0\\\end{array}$

So, x = -2 is a root, and the quotient is 2x² + 2x - 5.

(3) Check for other rational roots

2x² + 2x - 5 = 0

D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44

√44 = 2√11, which is irrational.

Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.

6 0

3 years ago

At the beginning of the fall, the water level of a lake is 12

spayn [35]

x = normal water level

x - 12 - 13 = x - 25

so it is 25 feet below the normal water level

6 0

3 years ago

The table shows information about some children.

Sindrei [870]

Answer:

$P(Age\ 12) = \frac{2}{3}$

Step-by-step explanation:

Given

Age 11 Age 12 Total

Girls 3 5 8

Boys 1 3 4

Required

$P(Age\ 12)$

The number of aged 12 children is:

$Age\ 12 = 5 + 3$

$Age\ 12 = 8$

The total number of children is:

$Total=8+4$

$Total = 12$

So, we have:

$P(Age\ 12) = \frac{Age\ 12}{Total}$

$P(Age\ 12) = \frac{8}{12}$

Simplify

$P(Age\ 12) = \frac{2}{3}$

3 0

3 years ago