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Crazy boy [7]
3 years ago
14

Using the graph below, what is the value of f(6) ?

Mathematics
2 answers:
Dima020 [189]3 years ago
5 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(6) =   - 2

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

andrey2020 [161]3 years ago
5 0

Polynomial mixing with Modulus. First time to see this in my life.

So from the graph it must be even-degree polynomial. It must be 4-degree polynomial judging from the x-intercepts.

There's a fraction/decimal as roots so...  Just look from the graph.

When x = 6 or f(6), y = -2 as shown in the graph.

So f(6) = -2

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3. There are 50,000 people at a stadium watching a soccer match, and 40,000 of them are
GalinKa [24]

Answer:

P(Male = 2) = 63.9%

Step-by-step explanation:

40000C2 / 50000C2

[(40000 * 39999) / (1*2)] / [(50000 * 49999 *) / (1*2)]

3,199,920,000 / 4,999,900,000

0.6399996799935999

P(Male = 2) = 63.9%

7 0
3 years ago
A counting number is a multiple of 13 and is also divisible by 4 and 6. What is the smallest number that satisfies these conditi
ASHA 777 [7]

Answer:

39

Step-by-step explanation:

39 is a multiple of 13. 13,26,39.

3+9= 12 which is an even which works both for 6 and 4. 4,8,12. 6,12

8 0
3 years ago
2 of the people on a train have
Keith_Richards [23]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
A fair coin is to be tossed 20 times. Find the probability that 10 of the tosses will fall heads and 10 will fall tails, (a) usi
lbvjy [14]

Using the distributions, it is found that there is a:

a) 0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

b) 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

c) 0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item a:

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 20 tosses, hence n = 20.
  • Fair coin, hence p = 0.5.

The probability is <u>P(X = 10)</u>, thus:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{20,10}.(0.5)^{10}.(0.5)^{10} = 0.1762

0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item b:

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • The binomial distribution is the probability of <u>x successes on n trials, with p probability</u> of a success on each trial. It can be approximated to the normal distribution with \mu = np, \sigma = \sqrt{np(1-p)}.

The probability of an exact value is 0, hence 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item c:

For the approximation, the mean and the standard deviation are:

\mu = np = 20(0.5) = 10

\sigma = \sqrt{np(1 - p)} = \sqrt{20(0.5)(0.5)} = \sqrt{5}

Using continuity correction, this probability is P(10 - 0.5 \leq X \leq 10 + 0.5) = P(9.5 \leq X \leq 10.5), which is the <u>p-value of Z when X = 10.5 subtracted by the p-value of Z when X = 9.5.</u>

X = 10.5:

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

Z = \frac{10.5 - 10}{\sqrt{5}}

Z = 0.22

Z = 0.22 has a p-value of 0.5871.

X = 9.5:

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

Z = \frac{9.5 - 10}{\sqrt{5}}

Z = -0.22

Z = -0.22 has a p-value of 0.4129.

0.5871 - 0.4129 = 0.1742.

0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

A similar problem is given at brainly.com/question/24261244

6 0
3 years ago
Did I find the area of the composite figures correctly in the pic? If not, help pls?
Annette [7]
No, in problem 1
you said that area of triangle=bh when it should be 1/2bh
the area should be 9 not 18 so triange=9
aera of rectangle is correct
so
27+9=36 in^2 is answer



2. it is 1 rectangle 1 triangle 1 square  you forgot the square
rectangle=12 times 4=48
square=4 times 4=16
triangle=1/2bh=1/2(8)4=16
add

48+16+16=80 in^2


remember that
triangle=1/2(base times height)
draw immaginary lines and split shapes, it could help to seperate shapes or/and mmove them around and regroup them
8 0
3 years ago
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