MATHEMATICS HIGH SCHOOL

Find the probability of this event if one of these cards is drawn at random.


Not selecting an S.


S


U


M


M


E


R

Answers

Answer 1
Answer: There are 6 cards. If only 1 of them is an "S," then there is a 5/6 chance of obtaining a card that isn't a "S."

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Find the value of c so that the polynomial P ( x ) = 4x 3 + c x 2 + x + 2 have the same remainder when it is divided by x-2 and x+1?

Answers

For the polynomial P (x) = 4x³ + cx² +x + 2 the value of c is -13.

What is polynomial?

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

The given equation of polynomial is,

P (x) = 4x³ + cx² +x + 2         (1)

Since, When polynomial is divided by  x-2, and x+1 it gives the same remainder,

This implies that at x=2 and x=-1, the value of the polynomial will be equal.

P(2)=P(-1)

4×(2)³+c(2)²+2+2=4×(-1)³+c(-1)²+(-1)+2

32+4c+4=-4+c+1

3c=-3-36

3c=-39

c=-13

So, the value of c is -13.

To know more about Polynomial on:

brainly.com/question/11536910

#SPJ3

Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you please don't forget to thank me ...

If the probability of success during a single event of a geometric experiment is 0.16, what is the probability of success by the 8th event? Round your answer to the nearest tenth of a percent.

Answers

The probability of success by the 8th event is 75.21%.

Probability of success: 0.16
Probability of failure:
        = 1 - P (Prob. of success)
        = 1 - 0.16
        = 0.84
Total probability of failure:
        = 0.84 ^ 8 (# of event)
        = 0.247875891

Probability of success on the 8th event:
        = 1 - Probability of failure on previous events
        = 1 - 0.247875891
        = 0.7521 or 75.21% 

To get either probability, deduct the given from 1 which serves as the 100% probability.

Hope this helps! :)

Answer:...

Step-by-step explanation:

What is 3 percent of $1500

Answers

3 percent is 3 for every [1] hundred, and there are 15 hundreds in 1500, so we multiply 3 by 15 for 15 hundreds to get 45, and then we translate that back to money to get
$45

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.What is the value of x?
A. 34°
B. 56.5°
C. 22°
D. 68°

Answers

Answer:

Option A. x=34\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

x=(1)/(2)(arc\ CD+arc\ AB)

substitute the values

x=(1)/(2)(23\°+45\°)

x=34\°

Carmen rolls a cube with sides labeled A, B, C, D, E, and F.What is the number of possible outcomes?

Answers

There are 5 possible outcomes
There is A B C D E F, that is 6 letters, the number of possible outcomes is 6.

3. What is the slope of the table shown? Cars Washed Number Money ($) 5 40 10 80 15 120 20 160​

Answers

The slope is 8.
(5,40) (10,80)
80-40=40
10-5=5
40/5=8
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