2 years ago

A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?

Mathematics

1 answer:

Elenna [48]2 years ago

7 0

Answer:

1/6 or 0.166666...

Step-by-step explanation:

1 out of 6, so 1/6

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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

3 years ago

Coach ramirez bought 8 cases of bottled water for a road race. There are 24 bottles in each case. After the race, 34 bottles of

navik [9.2K]

158 bottles of water were used at the race

3 0

3 years ago

NJ, TN and OH have 40 reps . NJ has 13 and OH 2 times as many as TN. write expression showing how many OH has

mixas84 [53]

NJ + TN + 2TN = 40
13 + TN + 2TN = 40
3TN = 27
TN = 9
OH = 18

8 0

3 years ago