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igor_vitrenko [27]
2 years ago
9

The mean temperature for the first 7 days in January was 6 °C.

Mathematics
1 answer:
balandron [24]2 years ago
3 0

Answer:

6.875° C

the mean of a set of data is calculated using

mean =

For the first 7 days the mean is 8 and the count = 7

8 =  ( cross- multiply )

sum = 8 × 7 = 56

Add on the temperature on the 8 th day to the sum and divide by 8 for mean

sum = 56 - 1 = 55

mean =  = 6.875° C

2nd question

Height of marble from the ground

An independent variable is the variable in an experiment that you change to see if it has an effect on the dependent variable. In this case, Jack wanted to see whether the position of the marble on the ramp (which would be the height) has an effect on the kinetic and potential energy of the marble, then the height would be the independent because it is what is being changed.

The dependent would be the kinetic and potential energy and the constant would be the type of marble.

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The probability that a randomly selected 3-year-old male chipmunk will live to be 4 years old is 0.96516.
mezya [45]

Using the binomial distribution, it is found that there is a:

a) The probability that two randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.93153 = 93.153%.

b) The probability that six randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.80834 = 80.834%.

c) The probability that at least one of six randomly selected 3-year-old male chipmunks will not live to be 4 years old is 0.19166 = 19.166%. This probability is not unusual, as it is greater than 5%.

-----------

For each chipmunk, there are only two possible outcomes. Either they will live to be 4 years old, or they will not. The probability of a chipmunk living is independent of any other chipmunk, which means that the binomial distribution is used to solve this question.

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:

  • 0.96516 probability of a chipmunk living through the year, thus p = 0.96516

Item a:

  • Two is P(X = 2) when n = 2, thus:

P(X = 2) = C_{2,2}(0.96516)^2(1-0.96516)^{0} = 0.9315

The probability that two randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.93153 = 93.153%.

Item b:

  • Six is P(X = 6) when n = 6, then:

P(X = 6) = C_{6,6}(0.96516)^6(1-0.96516)^{0} = 0.80834

The probability that six randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.80834 = 80.834%.

Item c:

  • At least one not living is:

P(X < 6) = 1 - P(X = 6) = 1 - 0.80834 = 0.19166

The probability that at least one of six randomly selected 3-year-old male chipmunks will not live to be 4 years old is 0.19166 = 19.166%. This probability is not unusual, as it is greater than 5%.

A similar problem is given at brainly.com/question/24756209

6 0
2 years ago
Emily claims that y = 2x^2 —3 is a linear function.
Veseljchak [2.6K]
The anser is that what i think
5 0
2 years ago
What divisor is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. Ther
g100num [7]

One of the ways of dividing polynomials is by synthetic division

The divisor of the synthetic division is x + 5

<h3>How to determine the divisor of the division</h3>

From the question, we understand that:

Entry -5 is on the outside to the left of the shape

The entry represents the zero of the divisor.

Next, we set this entry to the variable (assume the variable is x)

So, we have:

x = -5

Add 5 to both sides

x + 5= 0

Hence, the divisor of the synthetic division is x + 5

Read more about synthetic division at:

brainly.com/question/24662212

8 0
2 years ago
Read 2 more answers
Write the ratio as a fraction in simplest form. 27 to 72
Mademuasel [1]

Answer: The ration for 27:71, would be 3/8. Hope this helps!

4 0
3 years ago
Help Plzzzzzzzzzzzzzzzzzzz
svetlana [45]

Answer:

C

Step-by-step explanation:

"binomial" the operation between two terms (B or C)

"3rd degree binomial" the highest degree of the polynomial's monomials (individual terms) with non-zero coefficients have to be "3"

6 0
2 years ago
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