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3 years ago

The Student Council at Woodlands Middle School is planning a field

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

7 0

Answer:

57.5% of the students polled prefer pizza

Step-by-step explanation:

Monica [59]3 years ago

6 0

Answer:

57.5% of the students polled prefer pizza

Step-by-step explanation:

i know because i passed the quiz on i-ready

You might be interested in

Please help me!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop o

iragen [17]

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes

Total time touring Chicago = 4 hours 35 minutes

Since dinner reservation is at 5 :10 pm

Touring should start latest:

5:10 - 4 hours 35 minutes = 1 :35 pm

6 0

3 years ago

Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis

tiny-mole [99]

Answer:

a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.

b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.

Step-by-step explanation:

For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Significantly high:

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.

25% of the challenges are successfully upheld with the call overturned.

This means that $p = 0.25$

879 challenges

This meas that $n = 879$

a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.

This is P(X = 231). So

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

$P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209$

0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.

b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high

The mean is:

$E(X) = np = 879*0.25 = 219.75$

The standard deviation is:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84$

$219.75 + 2.5*12.84 = 251.85 > 231$

231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.

5 0

3 years ago

I need to know this

stiv31 [10]

Answer:

Step-by-step explanation:

24/x = x/6

x^2 =24*6 = 144

x=12

4 0

3 years ago

Rewrite the following equation in standard form.<br><br> y= -2/7x + 5/8