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tankabanditka [31]
3 years ago
9

Read the following scenario, and then answer the question.

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

9514 1404 393

Answer:

  (b)  He is correct. The tea will cool exponentially since it cools at a percentage rate every minute.

Step-by-step explanation:

Newton's Law of Cooling says the change in temperature is proportional to the temperature. This relation gives rise to an exponential function describing the temperature.

In this description, the temperature referred to is the <em>difference</em> between the temperature of the object and the temperature of the environment to/from which heat is being transferred.

Juan is only partially correct. The function is exponential, but the temperature that should be used in his equation is not the temperature of the tea, but the temperature difference between the tea and his desk.

__

The curve is not linear and not parabolic, excluding the other answer choices.

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A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s
Cloud [144]

Answer:

z=\frac{13-20}{4}=-1.75

Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

X \sim Binom(n=100, p=0.2)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.2=20 \geq 10

n(1-p)=20*(1-0.2)=16 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.2=20

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4

So we can approximate the random variable X like this:

X\sim N(\mu =20, \sigma=4)

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

If we replace we got:

z=\frac{13-20}{4}=-1.75

Let's assume that we conduct the following test:

H0: \mu \geq 20

H1: \mu

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

p_v = P(Z

5 0
2 years ago
What is the perimeter of the triangle?<br> unit
FinnZ [79.3K]

Answer:

<h2>36 units</h2><h2></h2>

Step-by-step explanation:

perimeter of the given triangle = 16 + slant (10) + slant (10)

                                                   = 36 units  

(see image below)

7 0
3 years ago
if a 120 pound adult requires 3 ounces of a medication,how many ounces would be needed for a 200 pound adult
alexandr1967 [171]

Answer:

5 ounces

Step-by-step explanation:

it goes up one ounce by every 40 lbs.

8 0
2 years ago
Read 2 more answers
Martino drove 1,734 miles in 34 hours. What was his average speed for e trip, in miles per hour? ​
Aliun [14]

Answer:

51 mph

Step-by-step explanation:

1734  miles

---------------- (per)

34 hours

you would divide. think of it as a fraction

1734

----

34

the numerator is miles and the denominator is hours. divide the numerator (the top number) by the denominator (the bottom number).

1734/34= 51

therefore, martino drove 51 miles per hour

Hope this helps!

7 0
3 years ago
WILL GIVE 100 POINTS,.A car’s wheels spin at 1000 revolutions per minute. The diameter of the wheels is 23 inches. You want to k
tangare [24]

speed = 23000* 3.14= 72220 inches/ minute

* I don't have a phone, so I am not able to show my work

5 0
3 years ago
Read 2 more answers
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