1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
earnstyle [38]
3 years ago
6

If a polynomial function f(x) has roots 4 - 131 and 5, what must be a factor of f(x)?

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0

Answer:

(x - 4), (x + 131), and (x - 5) must all be factors of f(x).

Step-by-step explanation:

You might be interested in
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
What are the x-intercepts and y-intercepts of 2x + 3y = 6?
Sonja [21]
The y intercept is at 2 and the x intercept is at 3
3 0
3 years ago
Can you help me solve this radical equation √y-10 = y-2 the sqrt sign is only over the y-10
matrenka [14]
D:y-10\geq0 \wedge y-2\geq0\\
D:y\geq10 \wedge y\geq2\\
D:y\geq10\\\\
\sqrt{y-10}=y-2\\
y-10=(y-2)^2\\
y-10=y^2-4y+4\\
y^2-5y+14=0\\
\Delta=(-5)^2-4\cdot1\cdot14=25-56=-31\\
\Delta
7 0
3 years ago
1 of 4
Serhud [2]
7 Did occurred twice. So 7 is the mode.
4 0
2 years ago
What is 164 rounded to the nearest 10
Leya [2.2K]
I think its 160 because if its 5 or more round up if 4 or less round down so 164 the 4 is less so its 160
6 0
3 years ago
Read 2 more answers
Other questions:
  • All I need to know is how to do 13. After I know how to do 13, I'll know how to do the rest. Please show your work and explain i
    14·1 answer
  • Choose the function that the graph represents
    7·1 answer
  • Express in decimal notation. 1.56 × 10^−4
    13·2 answers
  • Can someone help me with the answers 7- 14 pleaseeee and thank you!
    10·1 answer
  • What number is half way between 21 and 63?
    11·1 answer
  • Mia's hair was 17 inches long. Two years later it was 30 inches long.
    15·1 answer
  • The graph shows a proportional relationship. Which equation matches the
    7·1 answer
  • I’M GRADUATING TODAYYYYY!!!!<br><br> high school here I come
    13·1 answer
  • Brainlyyyyyyyy just helppppppppppppppppppppppppppppppppppppppppppp
    9·2 answers
  • add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!