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Lapatulllka [165]
3 years ago
8

Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. The table shows

how much water, in gallons, remains at different times during the day. What is the equation that represents Yulian's situation in point-slope form? (HINT: Give all fractions as decimals)

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Table

Hours                       2         4           6         8

Water remining        43      36         29        22


If you calculate the change in water remaining / hours elacpse you ge a constant value:

[36-49]/[4-2] = [29-36]/[6-4-29] = [22-29] / [8-6] = -7/2 = - 3.5

That is the slope.

The y-intercept is y when x =0, this is the volume of water when time is 0.

You can calculate it by adding 7 to 43 = 43 + 7 = 50

Then, the equation is y = -3.5x + 50


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A restaurant has an electronic system that randomly selects customers when they pay for their meal to
polet [3.4K]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, 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:

  • For each customer, 10% probability of receiving a coupon, thus p = 0.1.
  • 2 customers are selected, thus n = 2

The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:

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

P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at brainly.com/question/25326823

7 0
3 years ago
Mark and his brother David are fighting over a toy airplane while playing their yard. Mark grabs the plane and takes off running
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lapo4ka [179]

Answer:

12 packages with 2 toothbrushes and 3 soaps each

Step-by-step explanation:

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What is the result when x4 – 723 – 13x2 – 2x + 7 is divided by x + 1? If there is
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Can you post a picture please!
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Help, plz............
Brilliant_brown [7]

Answer:

I think Question (a) is 11748 m and Question (b) is 32364

Step-by-step explanation:

Because I Just divided the number of 7031 m square by 79 in Question (a) and I Just multiplied the number of 348 m by 93 but I am not sure It's correct or not

I hope It's helpful

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3 years ago
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