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aniked [119]
3 years ago
13

You roll a cube which has the numbers 11, 12, 11, 12, 20, and 20 on it. You then spin a spinner which has 3 sections. The letter

s on the spinner are G, H, and J. P(20 and H)
Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

1 / 9

Step-by-step explanation:

Given the number cube :

(11,12,11,12,20,20)

Spinner : (G, H, J)

Probability = required outcome / Total possible outcomes

P(20) = 2 / 6 = 1/3

P(H) = 1 / 3

P(20 and H) = P(20) * P(H) = 1/3 * 1/3 = 1 /9

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I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

--------------------------------------

x = 4\\\\(x-4) = 0

----------------------------------------

x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
3 years ago
The x- and Y negative coordinates have the same sign​
ale4655 [162]

Answer:

if the x and y coordinates that mean that number is the solution to whatever the question is.

Step-by-step explanation:

4 0
3 years ago
Kevin had a total of $320 to spend while shopping. He had spent $156 on video games. He wants to buy caps that are on sale for $
zloy xaker [14]

Maximum number of caps that Kevin can buy is 10.

Solution:

Total money for shopping = $320

Amount spent for video game = $156

Remaining amount that Kevin had = $320 – $156

                                                         = $164

Cost of each cap including tax = $15

$\text{Number of caps can buy }=\frac{\text { Remaining amount that Kevin had }}{\text { cost of each cap }}$

                                       $=\frac{164}{15}

                                      $=10\frac{14}{15}

Maximum number of caps that Kevin can buy is 10.

8 0
3 years ago
Write the equation in slope-intercept form of a line with slope -2 that passes through the point (1.-7)
tiny-mole [99]

Answer:

y=-2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=-2(x-1)

y+7=-2x+2

y=-2x+2-7

y=-2x-5

6 0
3 years ago
4<br> Find the perimeter of a<br> Square with a side<br> length of 7 meters.
11Alexandr11 [23.1K]

Answer: P=28 meters

Step-by-step explanation:

P=4 × a ⇒ a is the side length

P=4 × 7

P=28

5 0
2 years ago
Read 2 more answers
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