Given:
The polynomial is:
![3x^4-5x+7](https://tex.z-dn.net/?f=3x%5E4-5x%2B7)
To find:
The degrees and determine whether it is a monomial, binomial, or trinomial.
Solution:
We have,
![3x^4-5x+7](https://tex.z-dn.net/?f=3x%5E4-5x%2B7)
The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.
Monomial: Polynomial with one term.
Binomial: Polynomial with two terms.
Trinomial: Polynomial with three terms.
In the given polynomial, we have three terms
. So, the given polynomial is trinomial.
Therefore, the degree of the polynomial is 4 and it is a trinomial.
Answer:
0.9586
Step-by-step explanation:
From the information given:
7 children out of every 1000 children suffer from DIPG
A screening test designed contains 98% sensitivity & 84% specificity.
Now, from above:
The probability that the children have DIPG is:
![\mathbf{P(positive) = P(positive \ | \ DIPG) \times P(DIPG) + P(positive \ | \ not \DIPG)\times P(not \ DIPG)}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28positive%29%20%3D%20P%28positive%20%5C%20%20%7C%20%20%5C%20DIPG%29%20%5Ctimes%20P%28DIPG%29%20%2B%20P%28positive%20%20%5C%20%7C%20%5C%20%20not%20%5CDIPG%29%5Ctimes%20P%28not%20%20%5C%20DIPG%29%7D)
![= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})](https://tex.z-dn.net/?f=%3D%200.98%5Cimes%28%20%5Cdfrac%7B7%7D%7B1000%7D%29%20%2B%20%281-0.84%29%20%5Ctimes%20%281%20-%20%5Cdfrac%7B7%7D%7B1000%7D%29)
= (0.98 × 0.007) + 0.16( 1 - 0.007)
= 0.16574
So, the probability of not having DIPG now is:
![P(not \ DIPG \ | \ positive) = \dfrac{ P(positive \ | \ not DIPG)\timesP(not \ DIPG)} { P(positive)}](https://tex.z-dn.net/?f=P%28not%20%5C%20DIPG%20%5C%20%20%7C%20%20%5C%20positive%29%20%3D%20%5Cdfrac%7B%20P%28positive%20%20%5C%20%7C%20%5C%20%20not%20DIPG%29%5CtimesP%28not%20%5C%20%20DIPG%29%7D%20%7B%20P%28positive%29%7D)
![=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%20%281-0.84%29%5Ctimes%20%281%20-%20%5Cdfrac%7B7%7D%7B1000%7D%29%20%7D%7B%200.16574%7D)
![=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%200.16%20%28%201%20-%200.007%29%20%7D%7B0.16574%7D)
= 0.9586
Answer:
y = -x - 15
Step-by-step explanation:
x + y = -15
-x -x
y = -x - 15
:3
Answer:
$63
Step-by-step explanation:
15.75 / 3 = 5.25
5.25 is what each ticket was worth
5.25 * 12 = 63
The probability that the cube never lands on 3 is (D) 23.3%.
<h3>
What is probability?</h3>
- A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.
To find the probability that the cube never lands on 3:
Given -
Required
- Probability of not landing on 3.
First, we need to get the probability of landing on 3 in a single toss.
For a number cube,
- n(3) = 1 and n(total) = 6
So, the probability is P(3) = 1/6
First, we need to get the probability of not landing on 3 in a single toss.
Opposite probability = 1.
Make P(3') the subject of the formula.
- P(3') = 1 - P(3)
- P(3') = 1 - 1/6
- P(3') = 5/6
In 8 toss, the required probability is (P(3'))⁸
This gives:
- P = (5/6)⁸
- P = 390625/1679616
- P = 0.23256803936
Approximate to 1 decimal place, P = 23.3%.
Therefore, the probability that the cube never lands on 3 is (D) 23.3%.
Know more about probability here:
brainly.com/question/25870256
#SPJ4
The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?
A. 6.0%
B. 10.4%
C. 16.7%
D. 23.3%